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Objective Function | Deepgram
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class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060023-speech-to-speech.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dVEgqo">Voice Agent API</span><span font-size="textXs" class="sc-b323b31-0 sc-3618c394-14 lnJhVG cFsKfJ">For real-time AI Agents</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC bGaVbc"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/product/text-to-speech"><div class="sc-ace17a57-0 gCajMv"><div class="sc-ace17a57-0 sc-3618c394-4 ftcNci bpvjgx"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060055-text-to-speech.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dVEgqo">Text to Speech API</span><span font-size="textXs" class="sc-b323b31-0 sc-3618c394-14 lnJhVG cFsKfJ">Responsive, natural-sounding voices</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC bGaVbc"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/product/speech-to-text"><div class="sc-ace17a57-0 gCajMv"><div class="sc-ace17a57-0 sc-3618c394-4 ftcNci bpvjgx"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060077-speech-to-text.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dVEgqo">Speech to Text API</span><span font-size="textXs" class="sc-b323b31-0 sc-3618c394-14 lnJhVG cFsKfJ">Unmatched accuracy, speed & cost</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC bGaVbc"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/product/audio-intelligence"><div class="sc-ace17a57-0 gCajMv"><div class="sc-ace17a57-0 sc-3618c394-4 ftcNci bpvjgx"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060103-brain-ai.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dVEgqo">Audio Intelligence API</span><span font-size="textXs" class="sc-b323b31-0 sc-3618c394-14 lnJhVG cFsKfJ">Powered by AI Language models</span></div></div></a></div></div></div></div></div></div><div width="calc(100%)" class="sc-ace17a57-0 sc-3618c394-6 hiDOHk juEUpi"><div width="100%" class="sc-ace17a57-0 lePzZD"><span display="block" height="36px" class="sc-b323b31-0 ilnsGr">Announcements</span><style data-emotion="css 1y3y2u2">.css-1y3y2u2{font-family:var(--font-inter, sans-serif);font-size:1.0446428571428572rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:4px 5px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms 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MuiButton-colorSecondary MuiButton-root MuiButton-text MuiButton-textSecondary MuiButton-sizeSmall MuiButton-textSizeSmall MuiButton-colorSecondary sc-d74559df-0 fqnlbI sc-6e03a9e4-0 iumJHL sc-3618c394-0 gxydGy css-6n9fb7" tabindex="0" type="button" __typename="ComponentCallToActionRecord" id="Xho9X9_YQj2HBRVr87BG0g" href="/learn?type=Article&page=1&category=Announcements"><span class="sc-b323b31-0 fcPowg button-label" display="inline-flex"><span>View more</span></span><style data-emotion="css kcxyz4">.css-kcxyz4{display:inherit;margin-right:-2px;margin-left:8px;}.css-kcxyz4>*:nth-of-type(1){font-size:18px;}</style><span class="MuiButton-icon MuiButton-endIcon MuiButton-iconSizeSmall css-kcxyz4"><div width="fit-content" class="sc-ace17a57-0 ddioGD"><span display="inline-flex" class="sc-b323b31-0 bZmEHx"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 448 512" height="16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="M438.6 278.6c12.5-12.5 12.5-32.8 0-45.3l-160-160c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3L338.8 224 32 224c-17.7 0-32 14.3-32 32s14.3 32 32 32l306.7 0L233.4 393.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0l160-160z"></path></svg></span></div></span></a></div><div class="sc-ace17a57-0 gzWdaa"><a rel="" target="" display="-webkit-box" height="100%" width="100%" class="sc-e69ac761-0 ecplwP sc-2850a57f-3 cPKdIq" href="/learn/introducing-nova-3-speech-to-text-api"><div width="100%" height="100%" id="e1wy33mNTlGk8-WqDH28_Q" class="sc-ace17a57-0 sc-2850a57f-1 fJWxEy ggobuO"><div width="100%" height="150px" class="sc-6293d692-0 eWcIvK"><div class="sc-ace17a57-0 sc-5f7d928-0 fvbMGK image-wrapper" width="100%" height="100%"><img alt="Introducing Nova-3: Setting a New Standard for AI-Driven Speech-to-Text" loading="lazy" width="590" height="259" decoding="async" data-nimg="1" class="sc-2850a57f-2 dSsmQU" style="color:transparent;object-fit:cover" srcSet="/_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1740086862-2502-nova-3-blog-header.jpg%3Fauto%3Dformat%26w%3D590&w=640&q=75 1x, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1740086862-2502-nova-3-blog-header.jpg%3Fauto%3Dformat%26w%3D590&w=1200&q=75 2x" src="/_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1740086862-2502-nova-3-blog-header.jpg%3Fauto%3Dformat%26w%3D590&w=1200&q=75"/></div></div><div class="sc-ace17a57-0 biWqHE"><span font-weight="semiBold" class="sc-b323b31-0 iNRMrC"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 320 512" color="#ffffff" class="sc-2850a57f-0 Tcnof" style="color:#ffffff" height="12" width="12" xmlns="http://www.w3.org/2000/svg"><path d="M285.476 272.971L91.132 467.314c-9.373 9.373-24.569 9.373-33.941 0l-22.667-22.667c-9.357-9.357-9.375-24.522-.04-33.901L188.505 256 34.484 101.255c-9.335-9.379-9.317-24.544.04-33.901l22.667-22.667c9.373-9.373 24.569-9.373 33.941 0L285.475 239.03c9.373 9.372 9.373 24.568.001 33.941z"></path></svg>Introducing Nova-3: Setting a New Standard for AI-Driven Speech-to-Text</span><span class="sc-b323b31-0 jUNaqu">Published on 02/12/25</span></div></div></a></div></div></div></div></li><li height="fit-content" width="100%" tabindex="0" class="sc-6293d692-0 hEIHLV"><div width="100%" class="sc-ace17a57-0 gbwWMz"><div height="fit-content" width="100%" class="sc-ace17a57-0 caCSrG"><span font-size="textXl" font-weight="medium" display="block" cursor="pointer" width="100%" class="sc-b323b31-0 kzoxAi">Solutions</span><div transform="rotateX(0deg)" class="sc-ace17a57-0 fxtsZN"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 448 512" color="#A9A9AD" style="color:#A9A9AD" height="12" width="12" xmlns="http://www.w3.org/2000/svg"><path d="M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z"></path></svg></div></div></div><div pointer-events="none" class="sc-6293d692-0 sc-610ba7e0-0 fqJJID gkvAJG"><div class="sc-ace17a57-0 iIvmda"><div class="sc-ace17a57-0 fXUJvn"><div class="sc-ace17a57-0 jbARwL"><div class="sc-ace17a57-0 exshrD"><div class="sc-ace17a57-0 gYFcFc"><span display="block" width="auto" class="sc-b323b31-0 gIJLbd">Use Cases</span></div><div class="sc-ace17a57-0 eTCxuy"><div class="sc-ace17a57-0 ldsYPN"><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/solutions/contact-centers"><div class="sc-ace17a57-0 ljypZA"><div class="sc-ace17a57-0 sc-3618c394-4 iNSltq iIhisP"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060222-customer-service.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dRVqCB">Contact Centers</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/solutions/medical-transcription"><div class="sc-ace17a57-0 ljypZA"><div class="sc-ace17a57-0 sc-3618c394-4 iNSltq iIhisP"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060247-medical.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dRVqCB">Medical Transcription</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/deepgram-for-voicebots-and-chatbots"><div class="sc-ace17a57-0 ljypZA"><div class="sc-ace17a57-0 sc-3618c394-4 iNSltq iIhisP"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060265-conversational-ai.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dRVqCB">Conversational AI</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/solutions/speech-analytics"><div class="sc-ace17a57-0 ljypZA"><div class="sc-ace17a57-0 sc-3618c394-4 iNSltq iIhisP"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060282-speech-analytics.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dRVqCB">Speech Analytics</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a rel="" target="" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe" href="/solutions/media-transcription"><div class="sc-ace17a57-0 ljypZA"><div class="sc-ace17a57-0 sc-3618c394-4 iNSltq iIhisP"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060298-media.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dRVqCB">Media Transcription</span></div></div></a></div></div></div></div><div class="sc-ace17a57-0 bcBFEg"><a rel="" target="" class="sc-e69ac761-0 bkHGsI sc-3618c394-11 cTfqJK" href="/customers"><div class="sc-ace17a57-0 ldePaW"><div width="28px" height="28px" class="sc-6293d692-0 sc-3618c394-1 ipShUF kXFUqt"><div class="sc-ace17a57-0 sc-5f7d928-0 fvbMGK image-wrapper" width="100%" height="100%"><img alt="Customers" loading="lazy" width="16" height="16" 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fxtsZN"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 448 512" color="#A9A9AD" style="color:#A9A9AD" height="12" width="12" xmlns="http://www.w3.org/2000/svg"><path d="M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z"></path></svg></div></div></div><div pointer-events="none" class="sc-6293d692-0 sc-610ba7e0-0 fqJJID gkvAJG"><div class="sc-ace17a57-0 iIvmda"><div class="sc-ace17a57-0 fXUJvn"><div class="sc-ace17a57-0 jbARwL"><div class="sc-ace17a57-0 exshrD"><div class="sc-ace17a57-0 gYFcFc"><span display="block" width="auto" class="sc-b323b31-0 gIJLbd">Resources</span></div><div class="sc-ace17a57-0 eTCxuy"><div class="sc-ace17a57-0 ldsYPN"><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a rel="" 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alt="Transcription Tool" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" class="sc-3618c394-8 jzJMzZ" style="color:transparent;object-fit:cover" src="https://www.datocms-assets.com/96965/1728060712-transcription.svg"/></div></div><span font-size="textSm" class="sc-b323b31-0 sc-3618c394-15 fmcyDO gpxdfo">Transcription Tool</span></div></a></div></div></div></div></div></li><li height="fit-content" width="100%" tabindex="0" class="sc-6293d692-0 hEIHLV"><div width="100%" class="sc-ace17a57-0 gbwWMz"><div height="fit-content" width="100%" class="sc-ace17a57-0 caCSrG"><span font-size="textXl" font-weight="medium" display="block" cursor="pointer" width="100%" class="sc-b323b31-0 kzoxAi">Developers</span><div transform="rotateX(0deg)" class="sc-ace17a57-0 fxtsZN"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 448 512" color="#A9A9AD" style="color:#A9A9AD" height="12" width="12" xmlns="http://www.w3.org/2000/svg"><path d="M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z"></path></svg></div></div></div><div pointer-events="none" class="sc-6293d692-0 sc-610ba7e0-0 fqJJID gkvAJG"><div class="sc-ace17a57-0 iIvmda"><div class="sc-ace17a57-0 fXUJvn"><div class="sc-ace17a57-0 jbARwL"><div class="sc-ace17a57-0 exshrD"><div class="sc-ace17a57-0 eTCxuy"><div class="sc-ace17a57-0 ldsYPN"><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a href="https://developers.deepgram.com/documentation/" rel="noreferrer noopener" target="_blank" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe"><div class="sc-ace17a57-0 ljypZA"><div class="sc-ace17a57-0 sc-3618c394-4 iNSltq iIhisP"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" 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src="https://www.datocms-assets.com/96965/1728060860-tutorials.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 sc-3618c394-13 hHDluE dRVqCB">Tutorials</span></div></div></a></div><div width="max-content" class="sc-ace17a57-0 sc-3618c394-5 dMJoKC kjWGMU"><a href="https://status.deepgram.com/" rel="noreferrer noopener" target="_blank" text-decoration="none" class="sc-e69ac761-0 cCnzAI sc-3618c394-10 jycipe"><div class="sc-ace17a57-0 ljypZA"><div class="sc-ace17a57-0 sc-3618c394-4 iNSltq iIhisP"><div class="sc-ace17a57-0 sc-5f7d928-0 iMdtXa kritbo image-wrapper" width="fit-content" height="fit-content"><img alt="" loading="lazy" width="16" height="16" decoding="async" data-nimg="1" style="color:transparent;object-fit:contain" src="https://www.datocms-assets.com/96965/1728060872-status.svg"/></div></div><div class="sc-ace17a57-0 guuHrd"><span font-weight="medium" display="flex" tabindex="-1" class="sc-b323b31-0 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0ms;color:#9c27b0;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#ffffff;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-es23wo:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(156, 39, 176, 0.04);}@media (hover: none){.css-es23wo:hover{background-color:transparent;}}.css-es23wo.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-es23wo::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#9c27b0;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#ffffff;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-1vy4m6x::-moz-focus-inner{border-style:none;}.css-1vy4m6x.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-1vy4m6x{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-1vy4m6x:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(156, 39, 176, 0.04);}@media (hover: none){.css-1vy4m6x:hover{background-color:transparent;}}.css-1vy4m6x.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-1vy4m6x::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-1vy4m6x:hover{color:#79AFFA;background-color:transparent;}.css-1vy4m6x:focus-visible{color:#ffffff;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-1vy4m6x.Mui-disabled{color:#ffffff;opacity:0.2;}</style><a class="MuiButtonBase-root MuiButton-root MuiButton-text MuiButton-textSecondary MuiButton-sizeMedium MuiButton-textSizeMedium MuiButton-colorSecondary MuiButton-root MuiButton-text MuiButton-textSecondary MuiButton-sizeMedium MuiButton-textSizeMedium MuiButton-colorSecondary sc-d74559df-0 cIekQB sc-84b76e46-0 sc-f5e67a3c-0 jroYld css-1vy4m6x" tabindex="0" type="button" href="https://console.deepgram.com/" target="_self" id="108492178" __typename="ComponentCallToActionRecord"><span class="sc-b323b31-0 btXZGI button-label" display="inline-flex"><span>Log In</span></span></a><style data-emotion="css 134mfhg">.css-134mfhg{font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 16px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;box-shadow:0px 3px 1px -2px rgba(0,0,0,0.2),0px 2px 2px 0px rgba(0,0,0,0.14),0px 1px 5px 0px rgba(0,0,0,0.12);min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;background:#0B0B0C;color:#ffffff;border:1px solid #ffffff;}.css-134mfhg:hover{-webkit-text-decoration:none;text-decoration:none;box-shadow:0px 2px 4px -1px rgba(0,0,0,0.2),0px 4px 5px 0px rgba(0,0,0,0.14),0px 1px 10px 0px rgba(0,0,0,0.12);}.css-134mfhg:active{box-shadow:0px 5px 5px -3px rgba(0,0,0,0.2),0px 8px 10px 1px rgba(0,0,0,0.14),0px 3px 14px 2px rgba(0,0,0,0.12);}.css-134mfhg.Mui-focusVisible{box-shadow:0px 3px 5px -1px rgba(0,0,0,0.2),0px 6px 10px 0px rgba(0,0,0,0.14),0px 1px 18px 0px 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16px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;box-shadow:0px 3px 1px -2px rgba(0,0,0,0.2),0px 2px 2px 0px rgba(0,0,0,0.14),0px 1px 5px 0px rgba(0,0,0,0.12);min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;background:#0B0B0C;color:#ffffff;border:1px solid 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sc-84b76e46-0 etnILU sc-f5e67a3c-0 jroYeL css-aaf570" tabindex="0" type="button" id="T-CCS94ZQ2CRFyuYD-Kv-Q" __typename="ComponentCallToActionRecord" href="/contact-us"><span class="sc-b323b31-0 fcPowg button-label" display="inline-flex"><span>Get a Demo</span></span></a><style data-emotion="css 40xoaf">.css-40xoaf{font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 16px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:rgba(0, 0, 0, 0.87);background-color:#00E062;box-shadow:0px 3px 1px 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data-emotion="css ubnyan">.css-ubnyan{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;position:relative;box-sizing:border-box;-webkit-tap-highlight-color:transparent;background-color:transparent;outline:0;border:0;margin:0;border-radius:0;padding:0;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;vertical-align:middle;-moz-appearance:none;-webkit-appearance:none;-webkit-text-decoration:none;text-decoration:none;color:inherit;font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 16px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:rgba(0, 0, 0, 0.87);background-color:#00E062;box-shadow:0px 3px 1px -2px rgba(0,0,0,0.2),0px 2px 2px 0px rgba(0,0,0,0.14),0px 1px 5px 0px rgba(0,0,0,0.12);min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;background-color:#ffffff;color:#0B0B0C;border:1px solid #ffffff;}.css-ubnyan::-moz-focus-inner{border-style:none;}.css-ubnyan.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ubnyan{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ubnyan:hover{-webkit-text-decoration:none;text-decoration:none;background-color:#00BB49;box-shadow:0px 2px 4px -1px rgba(0,0,0,0.2),0px 4px 5px 0px rgba(0,0,0,0.14),0px 1px 10px 0px rgba(0,0,0,0.12);}@media (hover: none){.css-ubnyan:hover{background-color:#00E062;}}.css-ubnyan:active{box-shadow:0px 5px 5px -3px rgba(0,0,0,0.2),0px 8px 10px 1px rgba(0,0,0,0.14),0px 3px 14px 2px rgba(0,0,0,0.12);}.css-ubnyan.Mui-focusVisible{box-shadow:0px 3px 5px -1px rgba(0,0,0,0.2),0px 6px 10px 0px rgba(0,0,0,0.14),0px 1px 18px 0px rgba(0,0,0,0.12);}.css-ubnyan.Mui-disabled{color:rgba(0, 0, 0, 0.26);box-shadow:none;background-color:rgba(0, 0, 0, 0.12);}.css-ubnyan::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ubnyan::before{background:linear-gradient(to right, #008fc1, #00f099, #008fc1, #00f099);-webkit-background-size:300% 100%;background-size:300% 100%;}.css-ubnyan:hover{color:#0B0B0C;box-shadow:0px 1px 2px rgba(38, 44, 52, 0.05);background:#ffffff;}.css-ubnyan:hover::before{opacity:1;-webkit-background-position:100% 0;background-position:100% 0;}.css-ubnyan:focus{background:#ffffff;box-shadow:0px 1px 2px rgba(16, 24, 40, 0.05),0px 0px 0px 2px #687EF7;border-color:#ffffff;}.css-ubnyan.Mui-disabled{background:#2C2C33;color:#A9A9AD;}</style><a class="MuiButtonBase-root MuiButton-root MuiButton-contained MuiButton-containedPrimary MuiButton-sizeMedium MuiButton-containedSizeMedium MuiButton-colorPrimary MuiButton-root MuiButton-contained MuiButton-containedPrimary MuiButton-sizeMedium MuiButton-containedSizeMedium MuiButton-colorPrimary sc-d74559df-0 cIekQB sc-84b76e46-0 etnILU sc-f5e67a3c-0 jroYeL css-ubnyan" tabindex="0" type="button" href="https://console.deepgram.com/signup" target="_self" id="108492199" __typename="ComponentCallToActionRecord"><span class="sc-b323b31-0 btXZGI button-label" display="inline-flex"><span>Sign Up</span></span></a></div></ul></div></div></div><div display="none" id="nav-overlay" height="0" class="sc-ace17a57-0 jUgQHG"></div></div></nav></div></header><section id="" width="100%" class="sc-ace17a57-0 sc-b22001da-2 iLVWKa eAcnIZ"><div width="100%" class="sc-6293d692-0 chAbBM"><div class="sc-ace17a57-0 doHfou"><a rel="" target="" href="/ai-glossary" class="sc-e69ac761-0 fobbYG"><h2 font-size="displayLg" font-family="primaryFont" class="sc-4555ca6a-0 htUWGk">AI Glossary</h2></a></div></div></section><section id="" width="100%" class="sc-ace17a57-0 sc-b22001da-2 hMGZHr dJJSTR"><div width="100%" class="sc-6293d692-0 chAbBM"><div height="100%" width="100%" class="sc-6293d692-0 gKLLRj"><div height="100%" width="100%" class="sc-662dedcb-0 qCkfD"><div class="sc-6293d692-0 csGpzP"><div class="sc-ace17a57-0 hhtFqm glossary-content-wrapper"><div class="sc-ace17a57-0 btkfVN"><div class="sc-ace17a57-0 sc-a48d0877-0 dJCIVv zIKHU"><h1 font-size="displaySm" letter-spacing="neg2" font-weight="semiBold" font-family="primaryFont" class="sc-b323b31-0 JYZsj">Objective Function</h1><div class="sc-ace17a57-0 fJkbQy"><p font-family="bodyFont" class="sc-5159831f-0 GBftN">This article ventures deep into the essence of objective functions, unraveling how they serve as the cornerstone for training ML models.</p></div></div></div><!--$--><div class="sc-ace17a57-0 sc-4e888a2-0 hfDdWp cifBqP"><p class="sc-5159831f-0">Did you know that the heart of every <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> (ML) model beats through its objective function? Amidst the complex labyrinth of algorithms and data, it's the objective function that breathes life into ML models, guiding them towards their ultimate goal: learning from data to make accurate predictions. In a world where data is abundant but the wisdom to decipher it is scarce, mastering the objective function in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> emerges as a lighthouse for navigating the stormy seas of model optimization.</p><p class="sc-5159831f-0">Understanding the nuances of objective functions can be the difference between an ML model that merely functions and one that excels. These mathematical formulas are not just a part of the model; they are the compass that steers the learning process, ensuring that every step taken is a step closer to accuracy and reliability.</p><p class="sc-5159831f-0">This article ventures deep into the essence of objective functions, unraveling how they serve as the cornerstone for training ML models. Expect to unravel:</p><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0">The definition and significance of objective functions in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a></p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0">Insights into how these functions influence the success of ML models</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0">An exploration of the diverse landscape of objective functions, tailored for various ML tasks</p></li></li></ul><p class="sc-5159831f-0">Are you ready to unlock the secrets of objective functions and harness their power to elevate your <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> models? Join us on this enlightening journey to transform data into decisions with precision.</p><h2 id="dive-into-the-world-of-machine-learning-ml-by-exploring-the-pivotal-role-of-objective-functions" class="sc-4555ca6a-0 sc-42818e5a-3 kIEulY ipqlKg">Dive into the world of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> (ML) by exploring the pivotal role of objective functions</h2><p class="sc-5159831f-0">Objective functions stand at the core of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a>, orchestrating the symphony of algorithms and data to unveil patterns, trends, and insights. These mathematical beacons guide ML models through the intricate process of learning, driving them towards the ultimate goal: making accurate predictions or decisions. Here's a glimpse into the critical role they play:</p><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Definition and Importance</span>: At its essence, an objective function quantifies the difference between the predicted outcomes of an ML model and the actual target values. This measure of performance is indispensable, offering a clear target for optimization.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Guiding the Learning Process</span>: Objective functions serve as the north star for ML algorithms, providing a quantitative basis to adjust and refine model parameters. Whether it's minimizing errors or maximizing accuracy, these functions lay down the path for improvement.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Influencing Model Success</span>: The choice of an objective function directly impacts the effectiveness of an ML model. A well-chosen function aligns closely with the task at hand, be it regression, classification, or clustering, setting the stage for success.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Cornerstone for Training</span>: Beyond a mere metric, objective functions are the foundation upon which model training rests. They encapsulate the goal of the learning process, ensuring that every adjustment moves the model closer to its target.</p></li></li></ul><p class="sc-5159831f-0">By understanding and harnessing the power of objective functions, practitioners can steer their <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> models towards unprecedented levels of accuracy and performance. The journey from data to decision hinges on these critical components, making them an essential study for anyone venturing into the realm of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a>.</p><h2 id="what-is-the-objective-function-in-machine-learning" class="sc-4555ca6a-0 sc-42818e5a-3 kIEulY ipqlKg">What is the Objective Function in Machine Learning</h2><p class="sc-5159831f-0">Objective functions, foundational to the realm of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> (ML), offer a quantifiable metric to gauge the performance of ML models. These functions, synonymous with loss or cost functions, bridge the gap between the predictions of a model and the actual outcomes. Let's delve deeper into their essence, roles, and intricacies.</p><h3 id="defining-the-objective-function-and-its-role" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Defining the Objective Function and Its Role</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Fundamental Component</span>: According to Kronosapiens Labs, an objective function stands as a crucial element in ML, providing a formal, mathematical specification of the problem at hand. This specification quantifies how well a model's output aligns with the target values.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Performance Measure</span>: It acts as a yardstick, measuring the discrepancy between predicted and actual results. The smaller the discrepancy, the better the model's performance.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Optimization Target</span>: Every ML model aims to either minimize or maximize its objective function. This could mean minimizing errors in predictions or maximizing the likelihood of correct classifications.</p></li></li></ul><h3 id="guiding-the-learning-process" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Guiding the Learning Process</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Optimization Criterion</span>: Larksuite highlights the pivotal role of objective functions in AI, where they encapsulate the criteria for optimization. They signal to the ML algorithms how to adjust parameters to improve model performance.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Feedback Mechanism</span>: By quantifying errors or rewards, objective functions provide continuous feedback to the learning algorithm. This feedback is instrumental in iteratively refining the model.</p></li></li></ul><h3 id="minimizing-vs-maximizing-objective-functions" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Minimizing vs. Maximizing Objective Functions</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Cost Minimization</span>: An example drawn from study.com illustrates cost minimization, where the objective function aims to reduce the cost associated with errors in prediction. This approach is common in regression problems.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Profit Maximization</span>: Conversely, profit maximization seeks to increase the beneficial outcomes, such as in scenarios where the objective is to maximize the accuracy of predictions or the efficiency of an operation.</p></li></li></ul><h3 id="the-concept-of-the-analytic-solution" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">The Concept of the Analytic Solution</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Optimal Parameters</span>: Kronosapiens Labs sheds light on the existence of an analytic solution in certain ML problems. This solution represents a set of optimal parameters that the objective function can find exactly, without the need for iterative approximation.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Significance</span>: Understanding the possibility of an analytic solution is crucial. In cases where it exists, it provides a direct route to the most effective model parameters, bypassing the need for extensive computational resources typically associated with iterative methods.</p></li></li></ul><p class="sc-5159831f-0">Objective functions in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> embody the goals and aspirations of ML models. They not only define the problem but also illuminate the path to its solution, guiding algorithms through the complex landscape of data to uncover patterns and insights. Whether by minimizing discrepancies or maximizing outcomes, these functions remain the bedrock upon which the success of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> endeavors is built.</p><h2 id="how-objective-functions-work" class="sc-4555ca6a-0 sc-42818e5a-3 kIEulY ipqlKg">How Objective Functions Work</h2><p class="sc-5159831f-0">Objective functions in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> not only quantify the performance of models but also serve as the guiding light for algorithms to learn and optimize. Their role is paramount in adjusting model parameters, evaluating performance, and ensuring the iterative nature of model training aligns with the end goal of achieving optimal performance.</p><h3 id="outline-of-backpropagation-and-gradient-descent" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Outline of Backpropagation and Gradient Descent</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Backpropagation</span>: This process involves the calculation of the gradient (or slope) of the loss function with respect to each parameter in the model. It essentially answers the question, "How should the model's parameters change to minimize the loss?".</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Gradient Descent</span>: Leveraging the insights gained from <a target="_blank" href="https://deepgram.com/ai-glossary/backpropagation">backpropagation</a>, <a target="_blank" href="https://deepgram.com/ai-glossary/online-gradient-descent">gradient descent</a> adjusts each parameter in the direction that most reduces the loss. It's a step-by-step refinement, a descent down the curve of the objective function to find its minimum.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Reliance on Objective Functions</span>: Each step of both <a target="_blank" href="https://deepgram.com/ai-glossary/backpropagation">backpropagation</a> and <a target="_blank" href="https://deepgram.com/ai-glossary/online-gradient-descent">gradient descent</a> is dictated by the objective function. Machine Learning Mastery underscores their reliance, noting that the objective function's gradient provides the direction and magnitude of the step to take.</p></li></li></ul><h3 id="role-of-objective-functions-in-evaluating-performance" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Role of Objective Functions in Evaluating Performance</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Supervised Learning</span>: In this paradigm, the loss function quantifies the discrepancy between the predicted outputs and the actual labels. It's a direct measure of how well the model is performing on known data.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Reinforcement Learning</span>: The LinkedIn article brings to light the role of rewards, which are akin to negative loss in this context. Here, the objective function rewards the model for actions that bring it closer to the desired outcome, steering learning in the right direction.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Performance Evaluation</span>: Thus, whether through minimizing loss or maximizing rewards, objective functions serve as the benchmark for evaluating model performance during training.</p></li></li></ul><h3 id="the-iterative-nature-of-model-training" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">The Iterative Nature of Model Training</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Feedback Loop</span>: The training of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> models is inherently iterative. Adjustments to model parameters, informed by the objective function, are made repeatedly until performance ceases to improve significantly.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Continuous Optimization</span>: Each iteration involves evaluating the model's performance using the objective function, adjusting parameters, and then re-evaluating. This cycle continues, driving the model towards optimal performance.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Model Refinement</span>: This iterative refining, powered by the feedback loop of the objective function, ensures that models learn from their errors, adapting and improving with each cycle.</p></li></li></ul><h3 id="choosing-the-right-objective-function" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Choosing the Right Objective Function</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Impact on Model Accuracy</span>: The choice of objective function directly influences the model's ability to learn the underlying patterns in the data. A misaligned objective can lead to poor performance, regardless of the sophistication of the model architecture.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Generalizability</span>: The right objective function ensures not only high accuracy on the training data but also enhances the model's ability to generalize well to unseen data. This balance between performance and generalizability is crucial for building robust <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> models.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Task-Specific Considerations</span>: Each <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> task may require a different objective. For instance, classification problems might use cross-entropy loss, while regression problems might lean towards mean squared error. The specificity of the objective function to the task at hand cannot be overstated.</p></li></li></ul><p class="sc-5159831f-0">In essence, the mechanics of objective functions in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> encapsulate the journey from raw data to a finely tuned model. Through processes like <a target="_blank" href="https://deepgram.com/ai-glossary/backpropagation">backpropagation</a> and <a target="_blank" href="https://deepgram.com/ai-glossary/online-gradient-descent">gradient descent</a>, guided by the precise evaluations of performance and steered by the iterative nature of training, these functions are the architects of learning. Their selection, inherently tied to the task at hand, dictates the path of optimization, impacting everything from accuracy to the model's ability to generalize. Thus, understanding and choosing the right objective function is a cornerstone of successful <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> endeavors.</p><p class="sc-5159831f-0"><div width="100%" class="sc-ace17a57-0 ldWHw component-img-wrapper" id="Hfls2xjwQImMjahFpfp5IQ"><div class="sc-ace17a57-0 sc-5f7d928-0 iLvNR kritbo image-wrapper" width="fit-content" height="fit-content" display="flex"><img alt="" title="" loading="lazy" width="1504" height="884" decoding="async" data-nimg="1" class="sc-3ec8aa52-0 jTMTOn desktop-image" style="color:transparent;object-fit:contain;background-size:contain;background-position:50% 50%;background-repeat:no-repeat;background-image:url("data:image/svg+xml;charset=utf-8,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 1504 884'%3E%3Cfilter id='b' color-interpolation-filters='sRGB'%3E%3CfeGaussianBlur stdDeviation='20'/%3E%3CfeColorMatrix values='1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 100 -1' result='s'/%3E%3CfeFlood x='0' y='0' width='100%25' height='100%25'/%3E%3CfeComposite operator='out' in='s'/%3E%3CfeComposite in2='SourceGraphic'/%3E%3CfeGaussianBlur stdDeviation='20'/%3E%3C/filter%3E%3Cimage width='100%25' height='100%25' x='0' y='0' preserveAspectRatio='none' style='filter: url(%23b);' href='/deepgram.jpg'/%3E%3C/svg%3E")" sizes="(min-width: 992px) 810px, 100vw" srcSet="/_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=640&q=75 640w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=750&q=75 750w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=828&q=75 828w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=1080&q=75 1080w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=1200&q=75 1200w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=1920&q=75 1920w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=2048&q=75 2048w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=3840&q=75 3840w" src="/_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529548-screen-shot-2024-06-16-at-2-19-05-am.png&w=3840&q=75"/></div><div font-size="textSm" font-style="italic" class="sc-6293d692-0 jgEMAk"><!--$--><!--/$--></div></div></p><h2 id="types-of-objective-functions-in-machine-learning" class="sc-4555ca6a-0 sc-42818e5a-3 kIEulY ipqlKg">Types of Objective Functions in Machine Learning</h2><p class="sc-5159831f-0">Objective functions, the heart of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> algorithms, drive models towards optimality. These functions, varying in form and purpose, are pivotal in the realm of ML, guiding algorithms through the rugged terrain of data towards actionable insights.</p><h3 id="common-objective-functions" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Common Objective Functions</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Mean Squared Error (MSE)</span>: Often the go-to for regression problems, MSE measures the average squared difference between estimated and actual values. Its simplicity and effectiveness in highlighting large errors make it a staple in many ML tasks.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Cross-Entropy and Log Loss</span>: In the domain of classification, these functions shine by quantifying the difference between two probability distributions - the predicted probability and the actual distribution. They excel in scenarios where the prediction of the probability of membership to a class is required.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Mathematical Formulations</span>: At their core, these functions translate the accuracy of predictions into a numerical value, with lower values indicating better model performance. They serve as the foundation upon which models learn and improve.</p></li></li></ul><h3 id="specialized-objective-functions" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Specialized Objective Functions</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Hinge Loss for SVMs</span>: SVMs benefit from hinge loss, which aims to maximize the margin between data points and the decision boundary. It's particularly adept at handling "maximum-margin" classification, making it a cornerstone of SVMs.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Entropy-Based Objectives in Decision Trees</span>: These functions use entropy as a measure of impurity or disorder within a set. By minimizing entropy, or alternatively maximizing information gain, decision trees can effectively partition data, leading to highly accurate classification models.</p></li></li></ul><h3 id="domainspecific-objective-functions" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Domain-Specific Objective Functions</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Image Recognition</span>: Tasks in this domain often leverage functions like cross-entropy to differentiate between myriad classes of images, from faces to landscapes.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><a target="_blank" href="https://deepgram.com/ai-glossary/natural-language-processing"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Natural Language Processing</span></a><span font-weight="bold" class="sc-b323b31-0 caUwZV"> (NLP)</span>: Here, objectives like log loss come into play, especially in tasks like <a target="_blank" href="https://deepgram.com/learn/sentiment-analysis-deepdive">sentiment analysis</a> or language translation, where the prediction of sequences or classifications is key.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Reinforcement Learning</span>: In this dynamic and complex domain, reward functions dominate. They encourage models to take actions that maximize cumulative rewards over time, aligning with the goal-oriented nature of these tasks.</p></li></li></ul><h3 id="custom-objective-functions" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Custom Objective Functions</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Development Process</span>: Custom functions arise from the need to tailor the learning process to highly specific tasks. This process involves identifying unique aspects of the data or the prediction task that standard functions can't adequately address.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Scenarios of Necessity</span>: When off-the-shelf objective functions fall short, custom functions step in. Whether it's adjusting for imbalanced datasets in fraud detection or incorporating domain-specific penalties in financial modeling, these bespoke functions ensure that models align closely with business objectives and data nuances.</p></li></li></ul><p class="sc-5159831f-0">The landscape of objective functions in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> is both vast and varied, reflecting the diverse challenges and opportunities within the field. From the general-purpose utility of MSE and Cross-Entropy to the specialized precision of hinge loss and entropy-based objectives, these functions cater to a wide array of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> tasks. The advent of custom objective functions further underscores the adaptability and specificity required in modern ML applications, ensuring that models not only learn but also align closely with the unique contours of each task.</p><p class="sc-5159831f-0"><div width="100%" class="sc-ace17a57-0 ldWHw component-img-wrapper" id="UDmL9ZMHSt2FyLpSmpTlBw"><div class="sc-ace17a57-0 sc-5f7d928-0 iLvNR kritbo image-wrapper" width="fit-content" height="fit-content" display="flex"><img alt="" title="" loading="lazy" width="1494" height="896" decoding="async" data-nimg="1" class="sc-3ec8aa52-0 jTMTOn desktop-image" style="color:transparent;object-fit:contain;background-size:contain;background-position:50% 50%;background-repeat:no-repeat;background-image:url("data:image/svg+xml;charset=utf-8,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 1494 896'%3E%3Cfilter id='b' color-interpolation-filters='sRGB'%3E%3CfeGaussianBlur stdDeviation='20'/%3E%3CfeColorMatrix values='1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 100 -1' result='s'/%3E%3CfeFlood x='0' y='0' width='100%25' height='100%25'/%3E%3CfeComposite operator='out' in='s'/%3E%3CfeComposite in2='SourceGraphic'/%3E%3CfeGaussianBlur stdDeviation='20'/%3E%3C/filter%3E%3Cimage width='100%25' height='100%25' x='0' y='0' preserveAspectRatio='none' style='filter: url(%23b);' href='/deepgram.jpg'/%3E%3C/svg%3E")" sizes="(min-width: 992px) 810px, 100vw" srcSet="/_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=640&q=75 640w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=750&q=75 750w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=828&q=75 828w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=1080&q=75 1080w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=1200&q=75 1200w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=1920&q=75 1920w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=2048&q=75 2048w, /_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=3840&q=75 3840w" src="/_next/image?url=https%3A%2F%2Fwww.datocms-assets.com%2F96965%2F1718529807-screen-shot-2024-06-16-at-2-23-25-am.png&w=3840&q=75"/></div><div font-size="textSm" font-style="italic" class="sc-6293d692-0 jgEMAk"><!--$--><!--/$--></div></div></p><h2 id="applications-of-objective-functions-in-machine-learning" class="sc-4555ca6a-0 sc-42818e5a-3 kIEulY ipqlKg">Applications of Objective Functions in Machine Learning</h2><p class="sc-5159831f-0">Objective functions serve as the guiding compass in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a>, steering models towards effectiveness and efficiency across a myriad of applications. From <a target="_blank" href="https://deepgram.com/ai-glossary/ai-and-%5Bmedicine%5D(https://deepgram.com/ai-glossary/ai-and-medicine)">healthcare</a> to autonomous driving, these functions underpin the success of ML models by quantifying their accuracy, guiding their learning, and ensuring their relevance to real-world problems. Let’s explore their applications across different domains of <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a>, showcasing their indispensable role.</p><h3 id="supervised-learning-regression-and-classification" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Supervised Learning: Regression and Classification</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Predictive Modeling in Healthcare</span>: Objective functions like Log Loss are crucial in developing models that predict patient outcomes based on clinical data. For instance, predicting the likelihood of a disease recurrence enables <a target="_blank" href="https://deepgram.com/ai-glossary/ai-and-%5Bmedicine%5D(https://deepgram.com/ai-glossary/ai-and-medicine)">healthcare</a> providers to tailor treatment plans to individual patients, significantly improving patient care.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Financial Forecasting</span>: Here, Mean Squared Error (MSE) helps in fine-tuning models that forecast stock prices or market trends. By minimizing MSE, financial analysts can make predictions with greater accuracy, aiding in decision-making processes for investments and policy formulation.</p></li></li></ul><h3 id="unsupervised-learning-clustering-and-dimensionality-reduction" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Unsupervised Learning: Clustering and Dimensionality Reduction</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Data Pattern Discovery</span>: Objective functions facilitate the discovery of inherent groupings within data, as seen in customer segmentation tasks. Clustering algorithms, driven by these functions, identify distinct groups based on purchasing behavior, demographics, or interests, informing targeted marketing strategies.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Dimensionality Reduction</span>: Techniques like Principal Component Analysis (PCA) utilize objective functions to reduce the number of variables in a dataset while retaining its essential information. This application is critical in simplifying data visualization and improving model performance by eliminating irrelevant features.</p></li></li></ul><h3 id="reinforcement-learning-learning-through-interaction" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Reinforcement Learning: Learning Through Interaction</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Gaming</span>: In reinforcement learning scenarios like video games, objective functions define the reward system. Successful actions increase the game score, guiding the AI to learn strategies that maximize its score, leading to more sophisticated gameplay.</p></li></li><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Autonomous Vehicle Navigation</span>: For self-driving cars, objective functions reward actions that avoid accidents and obey traffic rules. This framework teaches the vehicle to navigate complex environments safely and efficiently, marking a significant advancement in autonomous technology.</p></li></li></ul><h3 id="neural-network-training-deep-learning-applications" class="sc-4555ca6a-0 sc-42818e5a-3 cGaypB ipqlKg">Neural Network Training: Deep Learning Applications</h3><ul class="sc-ace17a57-0 sc-42818e5a-1 dslPBO dZzOHq"><li class="sc-ace17a57-0 sc-42818e5a-0 PRHwk hegRkn"><li><p class="sc-5159831f-0"><span font-weight="bold" class="sc-b323b31-0 caUwZV">Image and Speech Recognition</span>: Deep learning models rely on objective functions, such as Cross-Entropy, to improve their ability to recognize and classify images and speech. Google's Machine Learning Crash Course emphasizes the importance of loss functions and <a target="_blank" href="https://deepgram.com/ai-glossary/online-gradient-descent">gradient descent</a> in training neural networks, ensuring models accurately interpret visual and auditory data for applications ranging from photo tagging to virtual <a target="_blank" href="https://deepgram.com/ai-glossary/ai-assistants">assistants</a>.</p></li></li></ul><p class="sc-5159831f-0">Objective functions in <a target="_blank" href="https://deepgram.com/ai-glossary/machine-learning">machine learning</a> not only quantify the performance of models but also guide their learning process across various domains. From the precision required in <a target="_blank" href="https://deepgram.com/ai-glossary/ai-and-%5Bmedicine%5D(https://deepgram.com/ai-glossary/ai-and-medicine)">healthcare</a> predictions and financial forecasting to the complex decision-making in gaming and autonomous navigation, these functions are the linchpins of successful ML applications. Moreover, their role in neural network training—particularly in <a target="_blank" href="https://deepgram.com/ai-glossary/deep-learning">deep learning</a> for image and speech recognition—underscores the transformative impact of objective functions in advancing technology to new frontiers.</p><p class="sc-5159831f-0"><div width="100%" class="sc-ace17a57-0 ldWHw component-img-wrapper" id="OcUPVLYOTdiOH90vXDPFbA"><div class="sc-ace17a57-0 sc-5f7d928-0 iLvNR kritbo image-wrapper" width="fit-content" height="fit-content" display="flex"><img alt="" title="" loading="lazy" width="1512" height="788" decoding="async" data-nimg="1" class="sc-3ec8aa52-0 jTMTOn desktop-image" style="color:transparent;object-fit:contain;background-size:contain;background-position:50% 50%;background-repeat:no-repeat;background-image:url("data:image/svg+xml;charset=utf-8,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 1512 788'%3E%3Cfilter id='b' color-interpolation-filters='sRGB'%3E%3CfeGaussianBlur 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and Finance</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/alphago" class="sc-e69ac761-0 kmKRMV">AlphaGo</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-recommendation-algorithms" class="sc-e69ac761-0 kmKRMV">AI Recommendation Algorithms</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/binary-classification-ai" class="sc-e69ac761-0 kmKRMV">Binary Classification AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-generated-music" class="sc-e69ac761-0 kmKRMV">AI Generated Music</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neuralink" class="sc-e69ac761-0 kmKRMV">Neuralink</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-video-generation" class="sc-e69ac761-0 kmKRMV">AI Video Generation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/openai-sora" class="sc-e69ac761-0 kmKRMV">OpenAI Sora</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hooke-jeeves-algorithm" class="sc-e69ac761-0 kmKRMV">Hooke-Jeeves Algorithm</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/mamba" class="sc-e69ac761-0 kmKRMV">Mamba</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/central-processing-unit-cpu" class="sc-e69ac761-0 kmKRMV">Central Processing Unit (CPU)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/generative-ai" class="sc-e69ac761-0 kmKRMV">Generative AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/representation-learning" class="sc-e69ac761-0 kmKRMV">Representation Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-in-customer-service" class="sc-e69ac761-0 kmKRMV">AI in Customer Service</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/conditional-variational-autoencoders" class="sc-e69ac761-0 kmKRMV">Conditional Variational Autoencoders</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/conversational-ai" class="sc-e69ac761-0 kmKRMV">Conversational AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/packages-glossary" class="sc-e69ac761-0 kmKRMV">Packages</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/models" class="sc-e69ac761-0 kmKRMV">Models</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/fundamentals" class="sc-e69ac761-0 kmKRMV">Fundamentals</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/datasets" class="sc-e69ac761-0 kmKRMV">Datasets</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/techniques" class="sc-e69ac761-0 kmKRMV">Techniques</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-lifecycle-management" class="sc-e69ac761-0 kmKRMV">AI Lifecycle Management</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-literacy" class="sc-e69ac761-0 kmKRMV">AI Literacy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-monitoring" class="sc-e69ac761-0 kmKRMV">AI Monitoring</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-oversight" class="sc-e69ac761-0 kmKRMV">AI Oversight</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-privacy" class="sc-e69ac761-0 kmKRMV">AI Privacy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-prototyping" class="sc-e69ac761-0 kmKRMV">AI Prototyping</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-regulation" class="sc-e69ac761-0 kmKRMV">AI Regulation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-resilience" class="sc-e69ac761-0 kmKRMV">AI Resilience</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-bias" class="sc-e69ac761-0 kmKRMV">Machine Learning Bias</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-life-cycle-management" class="sc-e69ac761-0 kmKRMV">Machine Learning Life Cycle Management</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-translation" class="sc-e69ac761-0 kmKRMV">Machine Translation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/mlops" class="sc-e69ac761-0 kmKRMV">MLOps</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/monte-carlo-learning" class="sc-e69ac761-0 kmKRMV">Monte Carlo Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/multi-task-learning" class="sc-e69ac761-0 kmKRMV">Multi-task Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/naive-bayes-classifier" class="sc-e69ac761-0 kmKRMV">Naive Bayes Classifier</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-neuron" class="sc-e69ac761-0 kmKRMV">Machine Learning Neuron</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/pooling-machine-learning" class="sc-e69ac761-0 kmKRMV">Pooling (Machine Learning)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/principal-component-analysis" class="sc-e69ac761-0 kmKRMV">Principal Component Analysis</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-preprocessing" class="sc-e69ac761-0 kmKRMV">Machine Learning Preprocessing</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/rectified-linear-unit-relu" class="sc-e69ac761-0 kmKRMV">Rectified Linear Unit (ReLU)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/reproducibility-machine-learning" class="sc-e69ac761-0 kmKRMV">Reproducibility in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/restricted-boltzmann-machines" class="sc-e69ac761-0 kmKRMV">Restricted Boltzmann Machines</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semi-supervised-learning" class="sc-e69ac761-0 kmKRMV">Semi-Supervised Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/supervised-learning" class="sc-e69ac761-0 kmKRMV">Supervised Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/support-vector-machines-svm" class="sc-e69ac761-0 kmKRMV">Support Vector Machines (SVM)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/topic-modeling" class="sc-e69ac761-0 kmKRMV">Topic Modeling</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/uncertainty-machine-learning" class="sc-e69ac761-0 kmKRMV">Uncertainty in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/vanishing-and-exploding-gradients" class="sc-e69ac761-0 kmKRMV">Vanishing and Exploding Gradients</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-interpretability" class="sc-e69ac761-0 kmKRMV">AI Interpretability</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-labeling" class="sc-e69ac761-0 kmKRMV">Data Labeling</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/inference-engine" class="sc-e69ac761-0 kmKRMV">Inference Engine</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/probabilistic-models-in-machine-learning" class="sc-e69ac761-0 kmKRMV">Probabilistic Models in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/f1-score-machine-learning" class="sc-e69ac761-0 kmKRMV">F1 Score in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/expectation-maximization" class="sc-e69ac761-0 kmKRMV">Expectation Maximization</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/beam-search-algorithm" class="sc-e69ac761-0 kmKRMV">Beam Search Algorithm</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/embedding-layer" class="sc-e69ac761-0 kmKRMV">Embedding Layer</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/differential-privacy" class="sc-e69ac761-0 kmKRMV">Differential Privacy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-poisoning" class="sc-e69ac761-0 kmKRMV">Data Poisoning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/causal-inference" class="sc-e69ac761-0 kmKRMV">Causal Inference</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/capsule-neural-network" class="sc-e69ac761-0 kmKRMV">Capsule Neural Network</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/attention-mechanisms" class="sc-e69ac761-0 kmKRMV">Attention Mechanisms</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/domain-adaptation" class="sc-e69ac761-0 kmKRMV">Domain Adaptation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/evolutionary-algorithms" class="sc-e69ac761-0 kmKRMV">Evolutionary Algorithms</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/contrastive-learning" class="sc-e69ac761-0 kmKRMV">Contrastive Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/explainable-ai" class="sc-e69ac761-0 kmKRMV">Explainable AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/affective-ai" class="sc-e69ac761-0 kmKRMV">Affective AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semantic-networks" class="sc-e69ac761-0 kmKRMV">Semantic Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-augmentation" class="sc-e69ac761-0 kmKRMV">Data Augmentation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/convolutional-neural-networks" class="sc-e69ac761-0 kmKRMV">Convolutional Neural Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/cognitive-computing" class="sc-e69ac761-0 kmKRMV">Cognitive Computing</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/end-to-end-learning" class="sc-e69ac761-0 kmKRMV">End-to-end Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/prompt-tuning" class="sc-e69ac761-0 kmKRMV">Prompt Tuning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/double-descent" class="sc-e69ac761-0 kmKRMV">Double Descent</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/model-drift" class="sc-e69ac761-0 kmKRMV">Model Drift</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neural-radiance-fields" class="sc-e69ac761-0 kmKRMV">Neural Radiance Fields</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/regularization" class="sc-e69ac761-0 kmKRMV">Regularization</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/natural-language-querying" class="sc-e69ac761-0 kmKRMV">Natural Language Querying (NLQ)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/foundation-models" class="sc-e69ac761-0 kmKRMV">Foundation Models</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/forward-propagation" class="sc-e69ac761-0 kmKRMV">Forward Propagation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/f2-score" class="sc-e69ac761-0 kmKRMV">F2 Score</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-ethics" class="sc-e69ac761-0 kmKRMV">AI Ethics</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/transfer-learning" class="sc-e69ac761-0 kmKRMV">Transfer Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-alignment" class="sc-e69ac761-0 kmKRMV">AI Alignment</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/whisper-v3" class="sc-e69ac761-0 kmKRMV">Whisper v3</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/whisper-v2" class="sc-e69ac761-0 kmKRMV">Whisper v2</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semi-structured-data" class="sc-e69ac761-0 kmKRMV">Semi-structured data</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-hallucinations" class="sc-e69ac761-0 kmKRMV">AI Hallucinations</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/emergent-behavior" class="sc-e69ac761-0 kmKRMV">Emergent Behavior</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/matplotlib" class="sc-e69ac761-0 kmKRMV">Matplotlib</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/numpy" class="sc-e69ac761-0 kmKRMV">NumPy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/scikit-learn" class="sc-e69ac761-0 kmKRMV">Scikit-learn</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/scipy" class="sc-e69ac761-0 kmKRMV">SciPy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/keras" class="sc-e69ac761-0 kmKRMV">Keras</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/tensorflow" class="sc-e69ac761-0 kmKRMV">TensorFlow</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/seaborn-python-package" class="sc-e69ac761-0 kmKRMV">Seaborn Python Package</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/pytorch" class="sc-e69ac761-0 kmKRMV">PyTorch</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/natural-language-toolkit-nltk" class="sc-e69ac761-0 kmKRMV">Natural Language Toolkit (NLTK)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/pandas" class="sc-e69ac761-0 kmKRMV">Pandas</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ego-4d" class="sc-e69ac761-0 kmKRMV">Ego 4D</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/the-pile" class="sc-e69ac761-0 kmKRMV">The Pile</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/common-crawl-datasets" class="sc-e69ac761-0 kmKRMV">Common Crawl Datasets</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/squad" class="sc-e69ac761-0 kmKRMV">SQuAD</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/intelligent-document-processing" class="sc-e69ac761-0 kmKRMV">Intelligent Document Processing</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hyperparameter-tuning" class="sc-e69ac761-0 kmKRMV">Hyperparameter Tuning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/Markov-decision-process" class="sc-e69ac761-0 kmKRMV">Markov Decision Process</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/graph-neural-networks" class="sc-e69ac761-0 kmKRMV">Graph Neural Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neural-architecture-search" class="sc-e69ac761-0 kmKRMV">Neural Architecture Search</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ablation" class="sc-e69ac761-0 kmKRMV">Ablation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/knowledge-distillation" class="sc-e69ac761-0 kmKRMV">Knowledge Distillation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/model-interpretability" class="sc-e69ac761-0 kmKRMV">Model Interpretability</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/out-of-distribution-detection" class="sc-e69ac761-0 kmKRMV">Out-of-Distribution Detection</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/recurrent-neural-networks" class="sc-e69ac761-0 kmKRMV">Recurrent Neural Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/active-learning" class="sc-e69ac761-0 kmKRMV">Active Learning (Machine Learning)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/imbalanced-data" class="sc-e69ac761-0 kmKRMV">Imbalanced Data</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/loss-function" class="sc-e69ac761-0 kmKRMV">Loss Function</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/unsupervised-learning" class="sc-e69ac761-0 kmKRMV">Unsupervised Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ai-and-big-data" class="sc-e69ac761-0 kmKRMV">AI and Big Data</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/adagrad" class="sc-e69ac761-0 kmKRMV">AdaGrad</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/clustering-algorithms" class="sc-e69ac761-0 kmKRMV">Clustering Algorithms</a><a rel="" target="" 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ak4akz{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ak4akz:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-ak4akz:hover{background-color:transparent;}}.css-ak4akz.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-ak4akz::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ak4akz:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-ak4akz:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-ak4akz.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><button class="MuiButtonBase-root 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ak4akz{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ak4akz:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-ak4akz:hover{background-color:transparent;}}.css-ak4akz.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-ak4akz::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ak4akz:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-ak4akz:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-ak4akz.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><button class="MuiButtonBase-root 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-q0kznr:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-q0kznr:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-q0kznr.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><style data-emotion="css 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ak4akz{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ak4akz:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-ak4akz:hover{background-color:transparent;}}.css-ak4akz.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-ak4akz::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ak4akz:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-ak4akz:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-ak4akz.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><button class="MuiButtonBase-root 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-q0kznr:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-q0kznr:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-q0kznr.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><style data-emotion="css 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ak4akz{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ak4akz:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-ak4akz:hover{background-color:transparent;}}.css-ak4akz.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-ak4akz::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ak4akz:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-ak4akz:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-ak4akz.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><button class="MuiButtonBase-root 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-q0kznr:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-q0kznr:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-q0kznr.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><style data-emotion="css ak4akz">.css-ak4akz{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;position:relative;box-sizing:border-box;-webkit-tap-highlight-color:transparent;background-color:transparent;outline:0;border:0;margin:0;border-radius:0;padding:0;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;vertical-align:middle;-moz-appearance:none;-webkit-appearance:none;-webkit-text-decoration:none;text-decoration:none;color:inherit;font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 8px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ak4akz{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ak4akz:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-ak4akz:hover{background-color:transparent;}}.css-ak4akz.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-ak4akz::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ak4akz:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-ak4akz:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-ak4akz.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><button class="MuiButtonBase-root MuiButton-root MuiButton-text MuiButton-textPrimary MuiButton-sizeMedium MuiButton-textSizeMedium MuiButton-colorPrimary MuiButton-root MuiButton-text MuiButton-textPrimary MuiButton-sizeMedium MuiButton-textSizeMedium MuiButton-colorPrimary sc-d74559df-0 iotBFW css-ak4akz" tabindex="0" type="button" href="" target="_self"><span class="sc-b323b31-0 btXZGI button-label" display="inline-flex">I</span></button></li><li class="sc-ace17a57-0 goWpow"><style data-emotion="css q0kznr">.css-q0kznr{font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 8px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-q0kznr:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-q0kznr:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-q0kznr.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><style data-emotion="css ak4akz">.css-ak4akz{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;position:relative;box-sizing:border-box;-webkit-tap-highlight-color:transparent;background-color:transparent;outline:0;border:0;margin:0;border-radius:0;padding:0;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;vertical-align:middle;-moz-appearance:none;-webkit-appearance:none;-webkit-text-decoration:none;text-decoration:none;color:inherit;font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 8px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ak4akz{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ak4akz:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-ak4akz:hover{background-color:transparent;}}.css-ak4akz.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-ak4akz::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ak4akz:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-ak4akz:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-ak4akz.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><button class="MuiButtonBase-root 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-q0kznr:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-q0kznr:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-q0kznr.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><style data-emotion="css ak4akz">.css-ak4akz{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;position:relative;box-sizing:border-box;-webkit-tap-highlight-color:transparent;background-color:transparent;outline:0;border:0;margin:0;border-radius:0;padding:0;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;vertical-align:middle;-moz-appearance:none;-webkit-appearance:none;-webkit-text-decoration:none;text-decoration:none;color:inherit;font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 8px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media print{.css-ak4akz{-webkit-print-color-adjust:exact;color-adjust:exact;}}.css-ak4akz:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-ak4akz:hover{background-color:transparent;}}.css-ak4akz.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-ak4akz::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;border-radius:4px;box-sizing:content-box;padding:1px;}.css-ak4akz:hover{color:#ffffff;-webkit-text-decoration:underline;text-decoration:underline;background-color:transparent;}.css-ak4akz:focus-visible{color:#ffffff;-webkit-text-decoration:none;text-decoration:none;border-radius:4px;outline:2px solid #687EF7;outline-offset:3px;}.css-ak4akz.Mui-disabled{color:#96A2FF;opacity:0.5;}</style><button class="MuiButtonBase-root 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-q0kznr:hover{-webkit-text-decoration:none;text-decoration:none;background-color:rgba(0, 224, 98, 0.04);}@media (hover: none){.css-q0kznr:hover{background-color:transparent;}}.css-q0kznr.Mui-disabled{color:rgba(0, 0, 0, 0.26);}.css-q0kznr::before{content:"";position:absolute;width:100%;height:100%;top:-1px;left:-1px;z-index:0;opacity:0;-webkit-transition:opacity 100ms ease-in-out,background-position 400ms ease-in-out;transition:opacity 100ms ease-in-out,background-position 400ms 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ak4akz">.css-ak4akz{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;position:relative;box-sizing:border-box;-webkit-tap-highlight-color:transparent;background-color:transparent;outline:0;border:0;margin:0;border-radius:0;padding:0;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;vertical-align:middle;-moz-appearance:none;-webkit-appearance:none;-webkit-text-decoration:none;text-decoration:none;color:inherit;font-family:var(--font-inter, sans-serif);font-size:0.875rem;line-height:1.75rem;font-weight:700;text-transform:uppercase;min-width:64px;padding:6px 8px;border-radius:4px;-webkit-transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:background-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,box-shadow 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,border-color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms,color 250ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;color:#00E062;min-width:0;text-transform:capitalize;font-weight:600;border-radius:4px;font-size:1rem;padding-left:2rem;padding-right:2rem;-webkit-transition:unset;transition:unset;white-space:nowrap;position:relative;font-size:1rem;line-height:2;padding-left:1.25rem;padding-right:1.25rem;color:#79AFFA;padding:0;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}.css-ak4akz::-moz-focus-inner{border-style:none;}.css-ak4akz.Mui-disabled{pointer-events:none;cursor:default;}@media 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MuiButton-root MuiButton-text MuiButton-textPrimary MuiButton-sizeMedium MuiButton-textSizeMedium MuiButton-colorPrimary MuiButton-root MuiButton-text MuiButton-textPrimary MuiButton-sizeMedium MuiButton-textSizeMedium MuiButton-colorPrimary sc-d74559df-0 iotBFW css-ak4akz" tabindex="0" type="button" href="" target="_self"><span class="sc-b323b31-0 btXZGI button-label" display="inline-flex">Z</span></button></li></ul></div><div class="sc-ace17a57-0 sc-8e7440ad-1 kpvNPn cxZbdr"><div data-letter="#" class="sc-ace17a57-0 hrNfIL"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 lnNnlT">AI Glossary Categories</span><ul display="none" class="sc-ace17a57-0 itDcJo"><button width="fit-content" cursor="pointer" height="32" class="sc-ace17a57-0 drAJUB"><span display="inline-flex" class="sc-b323b31-0 dKGACE"><svg width="14" height="14" fill="gray-200" stroke="gray-200"><use href="/svgs/icons-updated.svg#plus-icon=solid"></use></svg></span><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jBPWIy">Datasets</span></button><button width="fit-content" cursor="pointer" height="32" class="sc-ace17a57-0 drAJUB"><span display="inline-flex" class="sc-b323b31-0 dKGACE"><svg width="14" height="14" fill="gray-200" stroke="gray-200"><use href="/svgs/icons-updated.svg#plus-icon=solid"></use></svg></span><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jBPWIy">Fundamentals</span></button><button width="fit-content" cursor="pointer" height="32" class="sc-ace17a57-0 drAJUB"><span display="inline-flex" class="sc-b323b31-0 dKGACE"><svg width="14" height="14" fill="gray-200" stroke="gray-200"><use href="/svgs/icons-updated.svg#plus-icon=solid"></use></svg></span><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jBPWIy">Models</span></button><button width="fit-content" cursor="pointer" height="32" class="sc-ace17a57-0 drAJUB"><span display="inline-flex" class="sc-b323b31-0 dKGACE"><svg width="14" height="14" fill="gray-200" stroke="gray-200"><use href="/svgs/icons-updated.svg#plus-icon=solid"></use></svg></span><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jBPWIy">Packages</span></button><button width="fit-content" cursor="pointer" height="32" class="sc-ace17a57-0 drAJUB"><span display="inline-flex" class="sc-b323b31-0 dKGACE"><svg width="14" height="14" fill="gray-200" stroke="gray-200"><use href="/svgs/icons-updated.svg#plus-icon=solid"></use></svg></span><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jBPWIy">Techniques</span></button></ul><div class="sc-ace17a57-0 juchfq"><div width="100%" class="sc-ace17a57-0 bjeAPm"><label id="aria-label-" font-weight="medium" class="sc-b323b31-0 jOcNrR"></label><style data-emotion="css 1l7hvq4-container">.css-1l7hvq4-container{position:relative;box-sizing:border-box;min-width:100%;max-width:100%;opacity:1;}</style><div class=" css-1l7hvq4-container"><style data-emotion="css 7pg0cj-a11yText">.css-7pg0cj-a11yText{z-index:9999;border:0;clip:rect(1px, 1px, 1px, 1px);height:1px;width:1px;position:absolute;overflow:hidden;padding:0;white-space:nowrap;}</style><span id="react-select-8-live-region" class="css-7pg0cj-a11yText"></span><span aria-live="polite" aria-atomic="false" aria-relevant="additions text" role="log" class="css-7pg0cj-a11yText"></span><style data-emotion="css 2vgbxd-control">.css-2vgbxd-control{-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;cursor:default;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;min-height:44px;outline:0!important;position:relative;-webkit-transition:all 100ms;transition:all 100ms;background-color:#101014;border-color:#4E4E52;border-radius:8px;border-style:solid;border-width:1px;box-shadow:0px 1px 2px rgba(38, 44, 52, 0.05);box-sizing:border-box;font-size:1rem;line-height:1.5rem;color:#101014;}.css-2vgbxd-control:hover{border-color:#CECED2;}</style><div class=" css-2vgbxd-control"><style data-emotion="css hlgwow">.css-hlgwow{-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;display:grid;-webkit-flex:1;-ms-flex:1;flex:1;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;-webkit-overflow-scrolling:touch;position:relative;overflow:hidden;padding:2px 8px;box-sizing:border-box;}</style><div class=" css-hlgwow"><style data-emotion="css 1c5acm8-placeholder">.css-1c5acm8-placeholder{grid-area:1/1/2/3;color:#E1E1E5;margin-left:2px;margin-right:2px;box-sizing:border-box;}</style><div class=" css-1c5acm8-placeholder" id="react-select-8-placeholder">Categories</div><style data-emotion="css 1hac4vs-dummyInput">.css-1hac4vs-dummyInput{background:0;border:0;caret-color:transparent;font-size:inherit;grid-area:1/1/2/3;outline:0;padding:0;width:1px;color:transparent;left:-100px;opacity:0;position:relative;-webkit-transform:scale(.01);-moz-transform:scale(.01);-ms-transform:scale(.01);transform:scale(.01);}</style><input id="react-select-8-input" tabindex="0" inputMode="none" aria-autocomplete="list" aria-expanded="false" aria-haspopup="true" aria-label="Dropdown" aria-labelledby="aria-label-" role="combobox" aria-activedescendant="" aria-readonly="true" aria-describedby="react-select-8-placeholder" class="css-1hac4vs-dummyInput" value=""/></div><style data-emotion="css 1wy0on6">.css-1wy0on6{-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-align-self:stretch;-ms-flex-item-align:stretch;align-self:stretch;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;box-sizing:border-box;}</style><div class=" css-1wy0on6"><style data-emotion="css 1uei4ir-indicatorSeparator">.css-1uei4ir-indicatorSeparator{-webkit-align-self:stretch;-ms-flex-item-align:stretch;align-self:stretch;width:1px;background-color:hsl(0, 0%, 80%);margin-bottom:8px;margin-top:8px;box-sizing:border-box;display:none;}</style><span class=" css-1uei4ir-indicatorSeparator"></span><style data-emotion="css 1xc3v61-indicatorContainer">.css-1xc3v61-indicatorContainer{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-transition:color 150ms;transition:color 150ms;color:hsl(0, 0%, 80%);padding:8px;box-sizing:border-box;}.css-1xc3v61-indicatorContainer:hover{color:hsl(0, 0%, 60%);}</style><div class=" css-1xc3v61-indicatorContainer" aria-hidden="true"><style data-emotion="css 8mmkcg">.css-8mmkcg{display:inline-block;fill:currentColor;line-height:1;stroke:currentColor;stroke-width:0;}</style><svg height="20" width="20" viewBox="0 0 20 20" aria-hidden="true" focusable="false" class="css-8mmkcg"><path d="M4.516 7.548c0.436-0.446 1.043-0.481 1.576 0l3.908 3.747 3.908-3.747c0.533-0.481 1.141-0.446 1.574 0 0.436 0.445 0.408 1.197 0 1.615-0.406 0.418-4.695 4.502-4.695 4.502-0.217 0.223-0.502 0.335-0.787 0.335s-0.57-0.112-0.789-0.335c0 0-4.287-4.084-4.695-4.502s-0.436-1.17 0-1.615z"></path></svg></div></div></div></div></div></div></div><div class="sc-ace17a57-0 hrNfIL"><span display="none" font-size="textLg" font-weight="medium" class="sc-b323b31-0 hIsFvR">Alphabetical</span><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 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href="/ai-glossary/classification" class="sc-e69ac761-0 dsCZKx">Classification</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/cognitive-map" class="sc-e69ac761-0 dsCZKx">Cognitive Map</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/central-processing-unit-cpu" class="sc-e69ac761-0 dsCZKx">Central Processing Unit (CPU)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/conditional-variational-autoencoders" class="sc-e69ac761-0 dsCZKx">Conditional Variational Autoencoders</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/conversational-ai" class="sc-e69ac761-0 dsCZKx">Conversational AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/causal-inference" class="sc-e69ac761-0 dsCZKx">Causal Inference</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/capsule-neural-network" class="sc-e69ac761-0 dsCZKx">Capsule Neural Network</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/contrastive-learning" class="sc-e69ac761-0 dsCZKx">Contrastive Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/convolutional-neural-networks" class="sc-e69ac761-0 dsCZKx">Convolutional Neural Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/cognitive-computing" class="sc-e69ac761-0 dsCZKx">Cognitive Computing</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/common-crawl-datasets" class="sc-e69ac761-0 dsCZKx">Common Crawl Datasets</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/clustering-algorithms" class="sc-e69ac761-0 dsCZKx">Clustering Algorithms</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/concatenative-synthesis" class="sc-e69ac761-0 dsCZKx">Concatenative Synthesis</a><a rel="" 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font-size="textLg" font-weight="medium" href="/ai-glossary/continuous-learning-systems" class="sc-e69ac761-0 dsCZKx">Continuous Learning Systems</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/chatbots" class="sc-e69ac761-0 dsCZKx">Chatbots</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/composite-ai" class="sc-e69ac761-0 dsCZKx">Composite AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/computational-lingustics" class="sc-e69ac761-0 dsCZKx">Computational Linguistics</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/computational-semantics" class="sc-e69ac761-0 dsCZKx">Computational Semantics</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/collaborative-filtering" class="sc-e69ac761-0 dsCZKx">Collaborative Filtering</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/corpus" class="sc-e69ac761-0 dsCZKx">Corpus in NLP</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/confirmation-bias" class="sc-e69ac761-0 dsCZKx">Confirmation Bias in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/confidence-intervals" class="sc-e69ac761-0 dsCZKx">Confidence Intervals in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/cross-validation" class="sc-e69ac761-0 dsCZKx">Cross Validation in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/clustering" class="sc-e69ac761-0 dsCZKx">Clustering in Machine Learning</a></li><li data-letter="D" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">D</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/dall-e" class="sc-e69ac761-0 dsCZKx">Dall-E</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/distilbert" class="sc-e69ac761-0 dsCZKx">DistilBERT</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/dimensionality-reduction" class="sc-e69ac761-0 dsCZKx">Dimensionality Reduction</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/deep-reinforcement-learning" class="sc-e69ac761-0 dsCZKx">Deep Reinforcement Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/diffusion-model" class="sc-e69ac761-0 dsCZKx">Diffusion Models</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/deep-learning" class="sc-e69ac761-0 dsCZKx">Deep Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/datasets" class="sc-e69ac761-0 dsCZKx">Datasets</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-labeling" class="sc-e69ac761-0 dsCZKx">Data Labeling</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/differential-privacy" class="sc-e69ac761-0 dsCZKx">Differential Privacy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-poisoning" class="sc-e69ac761-0 dsCZKx">Data Poisoning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/domain-adaptation" class="sc-e69ac761-0 dsCZKx">Domain Adaptation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-augmentation" class="sc-e69ac761-0 dsCZKx">Data Augmentation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/double-descent" class="sc-e69ac761-0 dsCZKx">Double Descent</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/deepfake-detection" class="sc-e69ac761-0 dsCZKx">Deepfake Detection</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/diffusion" class="sc-e69ac761-0 dsCZKx">Diffusion</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-drift" class="sc-e69ac761-0 dsCZKx">Data Drift</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/data-scarcity" class="sc-e69ac761-0 dsCZKx">Data Scarcity</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/decision-tree" class="sc-e69ac761-0 dsCZKx">Decision Tree</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/decision-intelligence" class="sc-e69ac761-0 dsCZKx">Decision Intelligence</a></li><li data-letter="E" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">E</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/expectation-maximization" class="sc-e69ac761-0 dsCZKx">Expectation Maximization</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/embedding-layer" class="sc-e69ac761-0 dsCZKx">Embedding Layer</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/evolutionary-algorithms" class="sc-e69ac761-0 dsCZKx">Evolutionary Algorithms</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/explainable-ai" class="sc-e69ac761-0 dsCZKx">Explainable AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/end-to-end-learning" class="sc-e69ac761-0 dsCZKx">End-to-end Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/emergent-behavior" class="sc-e69ac761-0 dsCZKx">Emergent Behavior</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ego-4d" class="sc-e69ac761-0 dsCZKx">Ego 4D</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/eco-friendly-ai" class="sc-e69ac761-0 dsCZKx">Eco-friendly AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ensemble-learning" class="sc-e69ac761-0 dsCZKx">Ensemble Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/entropy" class="sc-e69ac761-0 dsCZKx">Entropy in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/epoch" class="sc-e69ac761-0 dsCZKx">Epoch in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ethical-ai" class="sc-e69ac761-0 dsCZKx">Ethical AI</a></li><li data-letter="F" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">F</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/flajolet-martin-algorithm" class="sc-e69ac761-0 dsCZKx">Flajolet-Martin Algorithm</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/feedforward-neural-network" class="sc-e69ac761-0 dsCZKx">Feedforward Neural Network</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/fine-tuning-deep-learning" class="sc-e69ac761-0 dsCZKx">Fine Tuning in Deep Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/fundamentals" class="sc-e69ac761-0 dsCZKx">Fundamentals</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/f1-score-machine-learning" class="sc-e69ac761-0 dsCZKx">F1 Score in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/foundation-models" class="sc-e69ac761-0 dsCZKx">Foundation Models</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/forward-propagation" class="sc-e69ac761-0 dsCZKx">Forward Propagation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/f2-score" class="sc-e69ac761-0 dsCZKx">F2 Score</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/feature-store-for-machine-learning" class="sc-e69ac761-0 dsCZKx">Feature Store for Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/few-shot-learning" class="sc-e69ac761-0 dsCZKx">Few Shot Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/federated-learning" class="sc-e69ac761-0 dsCZKx">Federated Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/feature-learning" class="sc-e69ac761-0 dsCZKx">Feature Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/feature-selection" class="sc-e69ac761-0 dsCZKx">Feature Selection</a></li><li data-letter="G" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">G</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/gradient-clipping" class="sc-e69ac761-0 dsCZKx">Gradient Clipping</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/generative-adversarial-networks" class="sc-e69ac761-0 dsCZKx">Generative Adversarial Networks (GANs)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/gaussian-processes" class="sc-e69ac761-0 dsCZKx">Gaussian Processes</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/gated-recurrent-unit" class="sc-e69ac761-0 dsCZKx">Gated Recurrent Unit</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/grounding" class="sc-e69ac761-0 dsCZKx">Grounding</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/gradient-boosting-machines" class="sc-e69ac761-0 dsCZKx">Gradient Boosting Machines (GBMs)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/graphics-processing-unit-gpu" class="sc-e69ac761-0 dsCZKx">Graphics Processing Unit (GPU)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/google-bard" class="sc-e69ac761-0 dsCZKx">Google's Bard</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/gradient-scaling" class="sc-e69ac761-0 dsCZKx">Gradient Scaling</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/generative-ai" class="sc-e69ac761-0 dsCZKx">Generative AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/graph-neural-networks" class="sc-e69ac761-0 dsCZKx">Graph Neural Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/grapheme-to-phoneme-conversion-g2p" class="sc-e69ac761-0 dsCZKx">Grapheme-to-Phoneme Conversion (G2P)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/generative-teaching-networks" class="sc-e69ac761-0 dsCZKx">Generative Teaching Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/genetic-algorithms" class="sc-e69ac761-0 dsCZKx">Genetic Algorithms in AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/ground-truth" class="sc-e69ac761-0 dsCZKx">Ground Truth in Machine Learning</a></li><li data-letter="H" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">H</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hyperparameters" class="sc-e69ac761-0 dsCZKx">Hyperparameters</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hidden-markov-models" class="sc-e69ac761-0 dsCZKx">Hidden Markov Models (HMMs)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hooke-jeeves-algorithm" class="sc-e69ac761-0 dsCZKx">Hooke-Jeeves Algorithm</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hyperparameter-tuning" class="sc-e69ac761-0 dsCZKx">Hyperparameter Tuning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/homograph-disambiguation" class="sc-e69ac761-0 dsCZKx">Homograph Disambiguation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/human-centered-ai" class="sc-e69ac761-0 dsCZKx">Human-centered AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hidden-layer" class="sc-e69ac761-0 dsCZKx">Hidden Layer</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/human-in-the-loop-ai" class="sc-e69ac761-0 dsCZKx">Human-in-the-Loop AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/hybrid-ai" class="sc-e69ac761-0 dsCZKx">Hybrid AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/human-augmentation-with-ai" class="sc-e69ac761-0 dsCZKx">Human Augmentation with AI</a></li><li data-letter="I" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">I</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/inference-engine" class="sc-e69ac761-0 dsCZKx">Inference Engine</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/intelligent-document-processing" class="sc-e69ac761-0 dsCZKx">Intelligent Document Processing</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/imbalanced-data" class="sc-e69ac761-0 dsCZKx">Imbalanced Data</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/instruction-tuning" class="sc-e69ac761-0 dsCZKx">Instruction Tuning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/incremental-learning" class="sc-e69ac761-0 dsCZKx">Incremental Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/information-retrieval" class="sc-e69ac761-0 dsCZKx">Information Retrieval</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/image-recognition" class="sc-e69ac761-0 dsCZKx">Image Recognition</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/imagenet" class="sc-e69ac761-0 dsCZKx">ImageNet</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/inductive-bias" class="sc-e69ac761-0 dsCZKx">Inductive Bias</a></li><li data-letter="K" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">K</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/k-shingles" class="sc-e69ac761-0 dsCZKx">k-Shingles</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/keyphrase-extraction" class="sc-e69ac761-0 dsCZKx">Keyphrase Extraction</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/keras" class="sc-e69ac761-0 dsCZKx">Keras</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/knowledge-distillation" class="sc-e69ac761-0 dsCZKx">Knowledge Distillation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/knowledge-representation-and-reasoning" class="sc-e69ac761-0 dsCZKx">Knowledge Representation and Reasoning</a></li><li data-letter="L" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">L</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/llama-2" class="sc-e69ac761-0 dsCZKx">Llama 2</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/llm-collection" class="sc-e69ac761-0 dsCZKx">LLM Collection</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/latent-dirichlet-allocation" class="sc-e69ac761-0 dsCZKx">Latent Dirichlet Allocation (LDA)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/large-language-model" class="sc-e69ac761-0 dsCZKx">Large Language Model (LLM)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/loss-function" class="sc-e69ac761-0 dsCZKx">Loss Function</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/limited-memory-ai" class="sc-e69ac761-0 dsCZKx">Limited Memory AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/learning-rate" class="sc-e69ac761-0 dsCZKx">Learning Rate</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/learning-to-rank" class="sc-e69ac761-0 dsCZKx">Learning To Rank</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/logits" class="sc-e69ac761-0 dsCZKx">Logits</a></li><li data-letter="M" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">M</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/midjourney-image-generation" class="sc-e69ac761-0 dsCZKx">Midjourney (Image Generation)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/mistral" class="sc-e69ac761-0 dsCZKx">Mistral</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/mixture-of-experts" class="sc-e69ac761-0 dsCZKx">Mixture of Experts</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/multimodal-ai" class="sc-e69ac761-0 dsCZKx">Multimodal AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/multimodal-learning" class="sc-e69ac761-0 dsCZKx">Multimodal Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning" class="sc-e69ac761-0 dsCZKx">Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/multimodal-aI-models-and-modalities" class="sc-e69ac761-0 dsCZKx">Multimodal AI Models and Modalities</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/mamba" class="sc-e69ac761-0 dsCZKx">Mamba</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/models" class="sc-e69ac761-0 dsCZKx">Models</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-bias" class="sc-e69ac761-0 dsCZKx">Machine Learning Bias</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-life-cycle-management" class="sc-e69ac761-0 dsCZKx">Machine Learning Life Cycle Management</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-translation" class="sc-e69ac761-0 dsCZKx">Machine Translation</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/mlops" class="sc-e69ac761-0 dsCZKx">MLOps</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/monte-carlo-learning" class="sc-e69ac761-0 dsCZKx">Monte Carlo Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/multi-task-learning" class="sc-e69ac761-0 dsCZKx">Multi-task Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-neuron" class="sc-e69ac761-0 dsCZKx">Machine Learning Neuron</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-preprocessing" class="sc-e69ac761-0 dsCZKx">Machine Learning Preprocessing</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/model-drift" class="sc-e69ac761-0 dsCZKx">Model Drift</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/matplotlib" class="sc-e69ac761-0 dsCZKx">Matplotlib</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/Markov-decision-process" class="sc-e69ac761-0 dsCZKx">Markov Decision Process</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/model-interpretability" class="sc-e69ac761-0 dsCZKx">Model Interpretability</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/machine-learning-algorithmic-trading" class="sc-e69ac761-0 dsCZKx">Machine Learning in Algorithmic Trading</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/metacognitive-learning-models" class="sc-e69ac761-0 dsCZKx">Metacognitive Learning Models </a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/metaheuristic-algorithms" class="sc-e69ac761-0 dsCZKx">Metaheuristic Algorithms</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/multitask-prompt-tuning" class="sc-e69ac761-0 dsCZKx">Multitask Prompt Tuning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/multi-agent-systems" class="sc-e69ac761-0 dsCZKx">Multi-Agent Systems</a></li><li data-letter="N" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">N</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/natural-language-processing" class="sc-e69ac761-0 dsCZKx">Natural Language Processing (NLP)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/natural-language-generation" class="sc-e69ac761-0 dsCZKx">Natural Language Generation (NLG)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/natural-language-understanding" class="sc-e69ac761-0 dsCZKx">Natural Language Understanding (NLU)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neuralink" class="sc-e69ac761-0 dsCZKx">Neuralink</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/naive-bayes-classifier" class="sc-e69ac761-0 dsCZKx">Naive Bayes Classifier</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neural-radiance-fields" class="sc-e69ac761-0 dsCZKx">Neural Radiance Fields</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/natural-language-querying" class="sc-e69ac761-0 dsCZKx">Natural Language Querying (NLQ)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/numpy" class="sc-e69ac761-0 dsCZKx">NumPy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/natural-language-toolkit-nltk" class="sc-e69ac761-0 dsCZKx">Natural Language Toolkit (NLTK)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neural-architecture-search" class="sc-e69ac761-0 dsCZKx">Neural Architecture Search</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neural-text-to-speech-ntts" class="sc-e69ac761-0 dsCZKx">Neural Text-to-Speech (NTTS)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/named-entity-recognition" class="sc-e69ac761-0 dsCZKx">Named Entity Recognition</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neural-style-transfer" class="sc-e69ac761-0 dsCZKx">Neural Style Transfer</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/neuroevolution" class="sc-e69ac761-0 dsCZKx">Neuroevolution</a></li><li data-letter="O" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 fvIpti">O</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/online-gradient-descent" class="sc-e69ac761-0 dsCZKx">Online Gradient Descent</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/overfitting-underfitting" class="sc-e69ac761-0 dsCZKx">Overfitting and Underfitting</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/openai-whisper" class="sc-e69ac761-0 dsCZKx">OpenAI Whisper</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/openai-sora" class="sc-e69ac761-0 dsCZKx">OpenAI Sora</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/out-of-distribution-detection" class="sc-e69ac761-0 dsCZKx">Out-of-Distribution Detection</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/one-shot-learning" class="sc-e69ac761-0 dsCZKx">One-Shot Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/objective-function" class="sc-e69ac761-0 ezFGlW">Objective Function</a></li><li data-letter="P" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">P</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/prompt-engineering" class="sc-e69ac761-0 dsCZKx">Prompt Engineering</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/prompt-chaining" class="sc-e69ac761-0 dsCZKx">Prompt Chaining</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/perceptron" class="sc-e69ac761-0 dsCZKx">Perceptron</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/precision-and-recall" class="sc-e69ac761-0 dsCZKx">Precision and Recall</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/packages-glossary" class="sc-e69ac761-0 dsCZKx">Packages</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/pooling-machine-learning" class="sc-e69ac761-0 dsCZKx">Pooling (Machine Learning)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/principal-component-analysis" class="sc-e69ac761-0 dsCZKx">Principal Component Analysis</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/probabilistic-models-in-machine-learning" class="sc-e69ac761-0 dsCZKx">Probabilistic Models in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/prompt-tuning" class="sc-e69ac761-0 dsCZKx">Prompt Tuning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/pytorch" class="sc-e69ac761-0 dsCZKx">PyTorch</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/pandas" class="sc-e69ac761-0 dsCZKx">Pandas</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/parametric-neural-networks%C2%A0" class="sc-e69ac761-0 dsCZKx">Parametric Neural Networks </a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/pretraining" class="sc-e69ac761-0 dsCZKx">Pretraining</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/part-of-speech-tagging" class="sc-e69ac761-0 dsCZKx">Part-of-Speech Tagging</a></li><li data-letter="Q" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">Q</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/quantum-machine-learning-algorithms" class="sc-e69ac761-0 dsCZKx">Quantum Machine Learning Algorithms</a></li><li data-letter="R" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">R</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/rule-based-ai" class="sc-e69ac761-0 dsCZKx">Rule-Based AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/roberta" class="sc-e69ac761-0 dsCZKx">RoBERTa</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/rlhf" class="sc-e69ac761-0 dsCZKx">RLHF</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/retrieval-augmented-generation" class="sc-e69ac761-0 dsCZKx">Retrieval-Augmented Generation (RAG)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/representation-learning" class="sc-e69ac761-0 dsCZKx">Representation Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/rectified-linear-unit-relu" class="sc-e69ac761-0 dsCZKx">Rectified Linear Unit (ReLU)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/reproducibility-machine-learning" class="sc-e69ac761-0 dsCZKx">Reproducibility in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/restricted-boltzmann-machines" class="sc-e69ac761-0 dsCZKx">Restricted Boltzmann Machines</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/regularization" class="sc-e69ac761-0 dsCZKx">Regularization</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/recurrent-neural-networks" class="sc-e69ac761-0 dsCZKx">Recurrent Neural Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/random-forest" class="sc-e69ac761-0 dsCZKx">Random Forest</a></li><li data-letter="S" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">S</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/sentiment-analysis" class="sc-e69ac761-0 dsCZKx">Sentiment Analysis</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/speech-to-text-models" class="sc-e69ac761-0 dsCZKx">Speech-to-text models</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/sequence-modeling" class="sc-e69ac761-0 dsCZKx">Sequence Modeling</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semantic-kernel" class="sc-e69ac761-0 dsCZKx">Semantic Kernel</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semi-supervised-learning" class="sc-e69ac761-0 dsCZKx">Semi-Supervised Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/supervised-learning" class="sc-e69ac761-0 dsCZKx">Supervised Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/support-vector-machines-svm" class="sc-e69ac761-0 dsCZKx">Support Vector Machines (SVM)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semantic-networks" class="sc-e69ac761-0 dsCZKx">Semantic Networks</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semi-structured-data" class="sc-e69ac761-0 dsCZKx">Semi-structured data</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/scikit-learn" class="sc-e69ac761-0 dsCZKx">Scikit-learn</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/scipy" class="sc-e69ac761-0 dsCZKx">SciPy</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/seaborn-python-package" class="sc-e69ac761-0 dsCZKx">Seaborn Python Package</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/squad" class="sc-e69ac761-0 dsCZKx">SQuAD</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/synthetic-data-for-ai-training" class="sc-e69ac761-0 dsCZKx">Synthetic Data for AI Training</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/statistical-relational-learning" class="sc-e69ac761-0 dsCZKx">Statistical Relational Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/self-healing-ai" class="sc-e69ac761-0 dsCZKx">Self-healing AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/semantic-search-algorithms" class="sc-e69ac761-0 dsCZKx">Semantic Search Algorithms</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/symbolic-ai" class="sc-e69ac761-0 dsCZKx">Symbolic AI</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/spike-neural-networks" class="sc-e69ac761-0 dsCZKx">Spike Neural Networks</a></li><li data-letter="T" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">T</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/text-to-speech-models" class="sc-e69ac761-0 dsCZKx">Text-to-Speech Models</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/transformers" class="sc-e69ac761-0 dsCZKx">Transformers</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/tensor-processing-unit-tpu" class="sc-e69ac761-0 dsCZKx">Tensor Processing Unit (TPU)</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/tokenization" class="sc-e69ac761-0 dsCZKx">Tokenization</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/techniques" class="sc-e69ac761-0 dsCZKx">Techniques</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/topic-modeling" class="sc-e69ac761-0 dsCZKx">Topic Modeling</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/transfer-learning" class="sc-e69ac761-0 dsCZKx">Transfer Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/tensorflow" class="sc-e69ac761-0 dsCZKx">TensorFlow</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/the-pile" class="sc-e69ac761-0 dsCZKx">The Pile</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/test-data-set" class="sc-e69ac761-0 dsCZKx">Test Data Set</a></li><li data-letter="U" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">U</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/uncertainty-machine-learning" class="sc-e69ac761-0 dsCZKx">Uncertainty in Machine Learning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/unsupervised-learning" class="sc-e69ac761-0 dsCZKx">Unsupervised Learning</a></li><li data-letter="V" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">V</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/vanishing-and-exploding-gradients" class="sc-e69ac761-0 dsCZKx">Vanishing and Exploding Gradients</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/voice-cloning" class="sc-e69ac761-0 dsCZKx">Voice Cloning</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/validation-data-set" class="sc-e69ac761-0 dsCZKx">Validation Data Set</a></li><li data-letter="W" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">W</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/winnow-algorithm" class="sc-e69ac761-0 dsCZKx">Winnow Algorithm</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/word-embeddings" class="sc-e69ac761-0 dsCZKx">Word Embeddings</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/whisper-v3" class="sc-e69ac761-0 dsCZKx">Whisper v3</a><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/whisper-v2" class="sc-e69ac761-0 dsCZKx">Whisper v2</a></li><li data-letter="X" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">X</span></div><a rel="" target="" font-size="textLg" font-weight="medium" href="/ai-glossary/xlnet" class="sc-e69ac761-0 dsCZKx">XLNet</a></li><li data-letter="Z" class="sc-ace17a57-0 eTCxuy"><div width="100%" class="sc-6293d692-0 jWSoNY"><span font-size="textLg" font-weight="medium" class="sc-b323b31-0 jgUCVJ">Z</span></div><a rel="" target="" font-size="textLg" 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Deepgram</span></div></div></div></footer></div></div><script id="__NEXT_DATA__" type="application/json">{"props":{"pageProps":{"slug":["objective-function"],"pageData":{"templateGlossary":{"__typename":"TemplateGlossaryRecord","id":"RRnHRt9sTNGE-WoMqAUa8w","seo":null,"slug":"objective-function","title":"Objective Function","categoryPage":false,"excerpt":{"__typename":"TemplateGlossaryModelExcerptField","value":{"schema":"dast","document":{"type":"root","children":[{"type":"paragraph","children":[{"type":"span","value":"This article ventures deep into the essence of objective functions, unraveling how they serve as the cornerstone for training ML models."}]}]}}},"body":{"__typename":"TemplateGlossaryModelBodyField","blocks":[],"links":[{"__typename":"ComponentImageRecord","id":"Hfls2xjwQImMjahFpfp5IQ","caption":"Ever wanted to learn how AI Business actually works? 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Amidst the complex labyrinth of algorithms and data, it's the objective function that breathes life into ML models, guiding them towards their ultimate goal: learning from data to make accurate predictions. In a world where data is abundant but the wisdom to decipher it is scarce, mastering the objective function in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" emerges as a lighthouse for navigating the stormy seas of model optimization."}]},{"type":"paragraph","children":[{"type":"span","value":"Understanding the nuances of objective functions can be the difference between an ML model that merely functions and one that excels. 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Expect to unravel:"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","value":"The definition and significance of objective functions in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","value":"Insights into how these functions influence the success of ML models"}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","value":"An exploration of the diverse landscape of objective functions, tailored for various ML tasks"}]}]}]},{"type":"paragraph","children":[{"type":"span","value":"Are you ready to unlock the secrets of objective functions and harness their power to elevate your "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" models? Join us on this enlightening journey to transform data into decisions with precision."}]},{"type":"heading","level":2,"children":[{"type":"span","value":"Dive into the world of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" (ML) by exploring the pivotal role of objective functions"}]},{"type":"paragraph","children":[{"type":"span","value":"Objective functions stand at the core of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":", orchestrating the symphony of algorithms and data to unveil patterns, trends, and insights. These mathematical beacons guide ML models through the intricate process of learning, driving them towards the ultimate goal: making accurate predictions or decisions. Here's a glimpse into the critical role they play:"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Definition and Importance"},{"type":"span","value":": At its essence, an objective function quantifies the difference between the predicted outcomes of an ML model and the actual target values. This measure of performance is indispensable, offering a clear target for optimization."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Guiding the Learning Process"},{"type":"span","value":": Objective functions serve as the north star for ML algorithms, providing a quantitative basis to adjust and refine model parameters. Whether it's minimizing errors or maximizing accuracy, these functions lay down the path for improvement."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Influencing Model Success"},{"type":"span","value":": The choice of an objective function directly impacts the effectiveness of an ML model. A well-chosen function aligns closely with the task at hand, be it regression, classification, or clustering, setting the stage for success."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Cornerstone for Training"},{"type":"span","value":": Beyond a mere metric, objective functions are the foundation upon which model training rests. They encapsulate the goal of the learning process, ensuring that every adjustment moves the model closer to its target."}]}]}]},{"type":"paragraph","children":[{"type":"span","value":"By understanding and harnessing the power of objective functions, practitioners can steer their "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" models towards unprecedented levels of accuracy and performance. The journey from data to decision hinges on these critical components, making them an essential study for anyone venturing into the realm of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":"."}]},{"type":"heading","level":2,"children":[{"type":"span","value":"What is the Objective Function in Machine Learning"}]},{"type":"paragraph","children":[{"type":"span","value":"Objective functions, foundational to the realm of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" (ML), offer a quantifiable metric to gauge the performance of ML models. These functions, synonymous with loss or cost functions, bridge the gap between the predictions of a model and the actual outcomes. Let's delve deeper into their essence, roles, and intricacies."}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Defining the Objective Function and Its Role"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Fundamental Component"},{"type":"span","value":": According to Kronosapiens Labs, an objective function stands as a crucial element in ML, providing a formal, mathematical specification of the problem at hand. This specification quantifies how well a model's output aligns with the target values."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Performance Measure"},{"type":"span","value":": It acts as a yardstick, measuring the discrepancy between predicted and actual results. The smaller the discrepancy, the better the model's performance."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Optimization Target"},{"type":"span","value":": Every ML model aims to either minimize or maximize its objective function. This could mean minimizing errors in predictions or maximizing the likelihood of correct classifications."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Guiding the Learning Process"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Optimization Criterion"},{"type":"span","value":": Larksuite highlights the pivotal role of objective functions in AI, where they encapsulate the criteria for optimization. They signal to the ML algorithms how to adjust parameters to improve model performance."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Feedback Mechanism"},{"type":"span","value":": By quantifying errors or rewards, objective functions provide continuous feedback to the learning algorithm. This feedback is instrumental in iteratively refining the model."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Minimizing vs. Maximizing Objective Functions"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Cost Minimization"},{"type":"span","value":": An example drawn from study.com illustrates cost minimization, where the objective function aims to reduce the cost associated with errors in prediction. This approach is common in regression problems."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Profit Maximization"},{"type":"span","value":": Conversely, profit maximization seeks to increase the beneficial outcomes, such as in scenarios where the objective is to maximize the accuracy of predictions or the efficiency of an operation."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"The Concept of the Analytic Solution"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Optimal Parameters"},{"type":"span","value":": Kronosapiens Labs sheds light on the existence of an analytic solution in certain ML problems. This solution represents a set of optimal parameters that the objective function can find exactly, without the need for iterative approximation."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Significance"},{"type":"span","value":": Understanding the possibility of an analytic solution is crucial. In cases where it exists, it provides a direct route to the most effective model parameters, bypassing the need for extensive computational resources typically associated with iterative methods."}]}]}]},{"type":"paragraph","children":[{"type":"span","value":"Objective functions in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" embody the goals and aspirations of ML models. They not only define the problem but also illuminate the path to its solution, guiding algorithms through the complex landscape of data to uncover patterns and insights. Whether by minimizing discrepancies or maximizing outcomes, these functions remain the bedrock upon which the success of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" endeavors is built."}]},{"type":"heading","level":2,"children":[{"type":"span","value":"How Objective Functions Work"}]},{"type":"paragraph","children":[{"type":"span","value":"Objective functions in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" not only quantify the performance of models but also serve as the guiding light for algorithms to learn and optimize. Their role is paramount in adjusting model parameters, evaluating performance, and ensuring the iterative nature of model training aligns with the end goal of achieving optimal performance."}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Outline of Backpropagation and Gradient Descent"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Backpropagation"},{"type":"span","value":": This process involves the calculation of the gradient (or slope) of the loss function with respect to each parameter in the model. It essentially answers the question, \"How should the model's parameters change to minimize the loss?\"."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Gradient Descent"},{"type":"span","value":": Leveraging the insights gained from "},{"url":"https://deepgram.com/ai-glossary/backpropagation","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"backpropagation"}]},{"type":"span","value":", "},{"url":"https://deepgram.com/ai-glossary/online-gradient-descent","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"gradient descent"}]},{"type":"span","value":" adjusts each parameter in the direction that most reduces the loss. It's a step-by-step refinement, a descent down the curve of the objective function to find its minimum."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Reliance on Objective Functions"},{"type":"span","value":": Each step of both "},{"url":"https://deepgram.com/ai-glossary/backpropagation","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"backpropagation"}]},{"type":"span","value":" and "},{"url":"https://deepgram.com/ai-glossary/online-gradient-descent","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"gradient descent"}]},{"type":"span","value":" is dictated by the objective function. Machine Learning Mastery underscores their reliance, noting that the objective function's gradient provides the direction and magnitude of the step to take."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Role of Objective Functions in Evaluating Performance"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Supervised Learning"},{"type":"span","value":": In this paradigm, the loss function quantifies the discrepancy between the predicted outputs and the actual labels. It's a direct measure of how well the model is performing on known data."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Reinforcement Learning"},{"type":"span","value":": The LinkedIn article brings to light the role of rewards, which are akin to negative loss in this context. Here, the objective function rewards the model for actions that bring it closer to the desired outcome, steering learning in the right direction."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Performance Evaluation"},{"type":"span","value":": Thus, whether through minimizing loss or maximizing rewards, objective functions serve as the benchmark for evaluating model performance during training."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"The Iterative Nature of Model Training"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Feedback Loop"},{"type":"span","value":": The training of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" models is inherently iterative. Adjustments to model parameters, informed by the objective function, are made repeatedly until performance ceases to improve significantly."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Continuous Optimization"},{"type":"span","value":": Each iteration involves evaluating the model's performance using the objective function, adjusting parameters, and then re-evaluating. This cycle continues, driving the model towards optimal performance."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Model Refinement"},{"type":"span","value":": This iterative refining, powered by the feedback loop of the objective function, ensures that models learn from their errors, adapting and improving with each cycle."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Choosing the Right Objective Function"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Impact on Model Accuracy"},{"type":"span","value":": The choice of objective function directly influences the model's ability to learn the underlying patterns in the data. A misaligned objective can lead to poor performance, regardless of the sophistication of the model architecture."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Generalizability"},{"type":"span","value":": The right objective function ensures not only high accuracy on the training data but also enhances the model's ability to generalize well to unseen data. This balance between performance and generalizability is crucial for building robust "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" models."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Task-Specific Considerations"},{"type":"span","value":": Each "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" task may require a different objective. For instance, classification problems might use cross-entropy loss, while regression problems might lean towards mean squared error. The specificity of the objective function to the task at hand cannot be overstated."}]}]}]},{"type":"paragraph","children":[{"type":"span","value":"In essence, the mechanics of objective functions in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" encapsulate the journey from raw data to a finely tuned model. Through processes like "},{"url":"https://deepgram.com/ai-glossary/backpropagation","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"backpropagation"}]},{"type":"span","value":" and "},{"url":"https://deepgram.com/ai-glossary/online-gradient-descent","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"gradient descent"}]},{"type":"span","value":", guided by the precise evaluations of performance and steered by the iterative nature of training, these functions are the architects of learning. Their selection, inherently tied to the task at hand, dictates the path of optimization, impacting everything from accuracy to the model's ability to generalize. Thus, understanding and choosing the right objective function is a cornerstone of successful "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" endeavors."}]},{"type":"paragraph","children":[{"item":"Hfls2xjwQImMjahFpfp5IQ","type":"inlineItem"}]},{"type":"heading","level":2,"children":[{"type":"span","value":"Types of Objective Functions in Machine Learning"}]},{"type":"paragraph","children":[{"type":"span","value":"Objective functions, the heart of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" algorithms, drive models towards optimality. These functions, varying in form and purpose, are pivotal in the realm of ML, guiding algorithms through the rugged terrain of data towards actionable insights."}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Common Objective Functions"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Mean Squared Error (MSE)"},{"type":"span","value":": Often the go-to for regression problems, MSE measures the average squared difference between estimated and actual values. Its simplicity and effectiveness in highlighting large errors make it a staple in many ML tasks."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Cross-Entropy and Log Loss"},{"type":"span","value":": In the domain of classification, these functions shine by quantifying the difference between two probability distributions - the predicted probability and the actual distribution. They excel in scenarios where the prediction of the probability of membership to a class is required."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Mathematical Formulations"},{"type":"span","value":": At their core, these functions translate the accuracy of predictions into a numerical value, with lower values indicating better model performance. They serve as the foundation upon which models learn and improve."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Specialized Objective Functions"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Hinge Loss for SVMs"},{"type":"span","value":": SVMs benefit from hinge loss, which aims to maximize the margin between data points and the decision boundary. It's particularly adept at handling \"maximum-margin\" classification, making it a cornerstone of SVMs."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Entropy-Based Objectives in Decision Trees"},{"type":"span","value":": These functions use entropy as a measure of impurity or disorder within a set. By minimizing entropy, or alternatively maximizing information gain, decision trees can effectively partition data, leading to highly accurate classification models."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Domain-Specific Objective Functions"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Image Recognition"},{"type":"span","value":": Tasks in this domain often leverage functions like cross-entropy to differentiate between myriad classes of images, from faces to landscapes."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"url":"https://deepgram.com/ai-glossary/natural-language-processing","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","marks":["strong"],"value":"Natural Language Processing"}]},{"type":"span","marks":["strong"],"value":" (NLP)"},{"type":"span","value":": Here, objectives like log loss come into play, especially in tasks like "},{"url":"https://deepgram.com/learn/sentiment-analysis-deepdive","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"sentiment analysis"}]},{"type":"span","value":" or language translation, where the prediction of sequences or classifications is key."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Reinforcement Learning"},{"type":"span","value":": In this dynamic and complex domain, reward functions dominate. They encourage models to take actions that maximize cumulative rewards over time, aligning with the goal-oriented nature of these tasks."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Custom Objective Functions"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Development Process"},{"type":"span","value":": Custom functions arise from the need to tailor the learning process to highly specific tasks. This process involves identifying unique aspects of the data or the prediction task that standard functions can't adequately address."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Scenarios of Necessity"},{"type":"span","value":": When off-the-shelf objective functions fall short, custom functions step in. Whether it's adjusting for imbalanced datasets in fraud detection or incorporating domain-specific penalties in financial modeling, these bespoke functions ensure that models align closely with business objectives and data nuances."}]}]}]},{"type":"paragraph","children":[{"type":"span","value":"The landscape of objective functions in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" is both vast and varied, reflecting the diverse challenges and opportunities within the field. From the general-purpose utility of MSE and Cross-Entropy to the specialized precision of hinge loss and entropy-based objectives, these functions cater to a wide array of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" tasks. The advent of custom objective functions further underscores the adaptability and specificity required in modern ML applications, ensuring that models not only learn but also align closely with the unique contours of each task."}]},{"type":"paragraph","children":[{"item":"UDmL9ZMHSt2FyLpSmpTlBw","type":"inlineItem"}]},{"type":"heading","level":2,"children":[{"type":"span","value":"Applications of Objective Functions in Machine Learning"}]},{"type":"paragraph","children":[{"type":"span","value":"Objective functions serve as the guiding compass in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":", steering models towards effectiveness and efficiency across a myriad of applications. From "},{"url":"https://deepgram.com/ai-glossary/ai-and-%5Bmedicine%5D(https://deepgram.com/ai-glossary/ai-and-medicine)","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"healthcare"}]},{"type":"span","value":" to autonomous driving, these functions underpin the success of ML models by quantifying their accuracy, guiding their learning, and ensuring their relevance to real-world problems. Let’s explore their applications across different domains of "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":", showcasing their indispensable role."}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Supervised Learning: Regression and Classification"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Predictive Modeling in Healthcare"},{"type":"span","value":": Objective functions like Log Loss are crucial in developing models that predict patient outcomes based on clinical data. For instance, predicting the likelihood of a disease recurrence enables "},{"url":"https://deepgram.com/ai-glossary/ai-and-%5Bmedicine%5D(https://deepgram.com/ai-glossary/ai-and-medicine)","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"healthcare"}]},{"type":"span","value":" providers to tailor treatment plans to individual patients, significantly improving patient care."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Financial Forecasting"},{"type":"span","value":": Here, Mean Squared Error (MSE) helps in fine-tuning models that forecast stock prices or market trends. By minimizing MSE, financial analysts can make predictions with greater accuracy, aiding in decision-making processes for investments and policy formulation."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Unsupervised Learning: Clustering and Dimensionality Reduction"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Data Pattern Discovery"},{"type":"span","value":": Objective functions facilitate the discovery of inherent groupings within data, as seen in customer segmentation tasks. Clustering algorithms, driven by these functions, identify distinct groups based on purchasing behavior, demographics, or interests, informing targeted marketing strategies."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Dimensionality Reduction"},{"type":"span","value":": Techniques like Principal Component Analysis (PCA) utilize objective functions to reduce the number of variables in a dataset while retaining its essential information. This application is critical in simplifying data visualization and improving model performance by eliminating irrelevant features."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Reinforcement Learning: Learning Through Interaction"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Gaming"},{"type":"span","value":": In reinforcement learning scenarios like video games, objective functions define the reward system. Successful actions increase the game score, guiding the AI to learn strategies that maximize its score, leading to more sophisticated gameplay."}]}]},{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Autonomous Vehicle Navigation"},{"type":"span","value":": For self-driving cars, objective functions reward actions that avoid accidents and obey traffic rules. This framework teaches the vehicle to navigate complex environments safely and efficiently, marking a significant advancement in autonomous technology."}]}]}]},{"type":"heading","level":3,"children":[{"type":"span","value":"Neural Network Training: Deep Learning Applications"}]},{"type":"list","style":"bulleted","children":[{"type":"listItem","children":[{"type":"paragraph","children":[{"type":"span","marks":["strong"],"value":"Image and Speech Recognition"},{"type":"span","value":": Deep learning models rely on objective functions, such as Cross-Entropy, to improve their ability to recognize and classify images and speech. Google's Machine Learning Crash Course emphasizes the importance of loss functions and "},{"url":"https://deepgram.com/ai-glossary/online-gradient-descent","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"gradient descent"}]},{"type":"span","value":" in training neural networks, ensuring models accurately interpret visual and auditory data for applications ranging from photo tagging to virtual "},{"url":"https://deepgram.com/ai-glossary/ai-assistants","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"assistants"}]},{"type":"span","value":"."}]}]}]},{"type":"paragraph","children":[{"type":"span","value":"Objective functions in "},{"url":"https://deepgram.com/ai-glossary/machine-learning","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"machine learning"}]},{"type":"span","value":" not only quantify the performance of models but also guide their learning process across various domains. From the precision required in "},{"url":"https://deepgram.com/ai-glossary/ai-and-%5Bmedicine%5D(https://deepgram.com/ai-glossary/ai-and-medicine)","meta":[{"id":"target","value":"_blank"}],"type":"link","children":[{"type":"span","value":"healthcare"}]},{"type":"span","value":" predictions and financial forecasting to the complex decision-making in gaming and autonomous navigation, these functions are the linchpins of successful ML applications. 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