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vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Final_results"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Final results</span> </div> </a> <button aria-controls="toc-Final_results-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Final results subsection</span> </button> <ul id="toc-Final_results-sublist" class="vector-toc-list"> <li id="toc-Chess_2" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Chess_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Chess</span> </div> </a> <ul id="toc-Chess_2-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Shogi_2" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Shogi_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.2</span> <span>Shogi</span> </div> </a> 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id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" 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class="mw-page-title-main">AlphaZero</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 22 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-22" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">22 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A3%D9%84%D9%81%D8%A7%D8%B2%D9%8A%D8%B1%D9%88" title="ألفازيرو – Arabic" lang="ar" hreflang="ar" data-title="ألفازيرو" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Belarusian" lang="be" hreflang="be" data-title="AlphaZero" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="AlphaZero" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Catalan" lang="ca" hreflang="ca" data-title="AlphaZero" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Cebuano" lang="ceb" hreflang="ceb" data-title="AlphaZero" data-language-autonym="Cebuano" data-language-local-name="Cebuano" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/AlphaZero" title="AlphaZero – German" lang="de" hreflang="de" data-title="AlphaZero" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Spanish" lang="es" hreflang="es" data-title="AlphaZero" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A2%D9%84%D9%81%D8%A7_%D8%B2%DB%8C%D8%B1%D9%88" title="آلفا زیرو – Persian" lang="fa" hreflang="fa" data-title="آلفا زیرو" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/AlphaZero" title="AlphaZero – French" lang="fr" hreflang="fr" data-title="AlphaZero" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%95%8C%ED%8C%8C%EC%A0%9C%EB%A1%9C" title="알파제로 – Korean" lang="ko" hreflang="ko" data-title="알파제로" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Armenian" lang="hy" hreflang="hy" data-title="AlphaZero" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%85%E0%A4%B2%E0%A5%8D%E0%A4%AB%E0%A4%BE%E0%A4%9C%E0%A4%BC%E0%A5%80%E0%A4%B0%E0%A5%8B" title="अल्फाज़ीरो – Hindi" lang="hi" hreflang="hi" data-title="अल्फाज़ीरो" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Italian" lang="it" hreflang="it" data-title="AlphaZero" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Hebrew" lang="he" hreflang="he" data-title="AlphaZero" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Dutch" lang="nl" hreflang="nl" data-title="AlphaZero" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Japanese" lang="ja" hreflang="ja" data-title="AlphaZero" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Russian" lang="ru" hreflang="ru" data-title="AlphaZero" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Simple English" lang="en-simple" hreflang="en-simple" data-title="AlphaZero" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Ukrainian" lang="uk" hreflang="uk" data-title="AlphaZero" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Vietnamese" lang="vi" hreflang="vi" data-title="AlphaZero" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Cantonese" lang="yue" hreflang="yue" data-title="AlphaZero" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/AlphaZero" title="AlphaZero – Chinese" lang="zh" hreflang="zh" data-title="AlphaZero" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q44860007#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/AlphaZero" title="View the content page [c]" accesskey="c"><span>Article</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:AlphaZero" rel="discussion" title="Discuss improvements to the content 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.sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}body.skin--responsive .mw-parser-output .sidebar a>img{max-width:none!important}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style><table class="sidebar sidebar-collapse nomobile nowraplinks"><tbody><tr><td class="sidebar-pretitle">This article is part of the series on</td></tr><tr><th class="sidebar-title-with-pretitle"><a href="/wiki/Computer_chess" title="Computer chess">Chess programming</a></th></tr><tr><td class="sidebar-image"><span typeof="mw:File"><a href="/wiki/File:Chess_Programming.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Chess_Programming.svg/150px-Chess_Programming.svg.png" decoding="async" width="150" height="150" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Chess_Programming.svg/225px-Chess_Programming.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Chess_Programming.svg/300px-Chess_Programming.svg.png 2x" data-file-width="64" data-file-height="64" /></a></span></td></tr><tr><td class="sidebar-content plainlist" style="text-align:left"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Board_representation_(computer_chess)" title="Board representation (computer chess)">Board representations</a></div><div class="sidebar-list-content mw-collapsible-content" style="text-align:center"> <ul><li><a href="/wiki/0x88" title="0x88">0x88</a></li> <li><a href="/wiki/Chess_bitboard" class="mw-redirect" title="Chess bitboard">Bitboards</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content plainlist" style="text-align:left"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Evaluation_function" title="Evaluation function">Evaluation functions</a></div><div class="sidebar-list-content mw-collapsible-content" style="text-align:center"> <ul><li><a href="/wiki/Deep_neural_network" class="mw-redirect" title="Deep neural network">Deep neural networks</a> (<a href="/wiki/Transformer_(deep_learning_architecture)" title="Transformer (deep learning architecture)">Transformers</a>)</li> <li><a href="/wiki/Attention_(machine_learning)" title="Attention (machine learning)">Attention</a></li> <li><a href="/wiki/Efficiently_updatable_neural_network" title="Efficiently updatable neural network">Efficiently updatable neural networks</a></li> <li><a href="/wiki/Evaluation_function#Handcrafted_evaluation_functions" title="Evaluation function">Handcrafted evaluation functions</a></li> <li><a href="/wiki/Piece-square_table" class="mw-redirect" title="Piece-square table">Piece-square tables</a></li> <li><a href="/wiki/Reinforcement_learning" title="Reinforcement learning">Reinforcement learning</a></li> <li><a href="/wiki/Stochastic_gradient_descent" title="Stochastic gradient descent">Stochastic gradient descent</a></li> <li><a href="/wiki/Supervised_learning" title="Supervised learning">Supervised learning</a></li> <li><a href="/w/index.php?title=Texel_tuning&action=edit&redlink=1" class="new" title="Texel tuning (page does not exist)">Texel tuning</a></li> <li><a href="/wiki/Unsupervised_learning" title="Unsupervised learning">Unsupervised learning</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content plainlist" style="text-align:left"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Graph_traversal" title="Graph traversal">Graph</a> and <a href="/wiki/Tree_traversal" title="Tree traversal">tree</a> search algorithms</div><div class="sidebar-list-content mw-collapsible-content" style="text-align:center"> <ul><li><a href="/wiki/Minimax" title="Minimax">Minimax</a></li> <li><a href="/wiki/Alpha-beta_pruning" class="mw-redirect" title="Alpha-beta pruning">Alpha-beta pruning</a></li> <li><a href="/wiki/Principal_variation_search" title="Principal variation search">Principal variation search</a></li> <li><a href="/wiki/Quiescence_search" title="Quiescence search">Quiescence search</a></li> <li><a href="/wiki/Monte_Carlo_tree_search" title="Monte Carlo tree search">Monte Carlo tree search</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content plainlist" style="text-align:left"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Chess_computer" class="mw-redirect" title="Chess computer">Chess computers</a></div><div class="sidebar-list-content mw-collapsible-content" style="text-align:center"> <ul><li><a href="/wiki/Belle_(chess_machine)" title="Belle (chess machine)">Belle</a></li> <li><a href="/wiki/ChessMachine" title="ChessMachine">ChessMachine</a></li> <li><a href="/wiki/ChipTest" title="ChipTest">ChipTest</a></li> <li><a href="/wiki/Cray_Blitz" title="Cray Blitz">Cray Blitz</a></li> <li><a href="/wiki/Deep_Blue_(chess_computer)" title="Deep Blue (chess computer)">Deep Blue</a></li> <li><a href="/wiki/Deep_Thought_(chess_computer)" title="Deep Thought (chess computer)">Deep Thought</a></li> <li><a href="/wiki/HiTech" title="HiTech">HiTech</a></li> <li><a href="/wiki/Hydra_(chess)" title="Hydra (chess)">Hydra</a></li> <li><a href="/wiki/Mephisto_(chess_computer)" title="Mephisto (chess computer)">Mephisto</a></li> <li><a href="/wiki/Saitek" title="Saitek">Saitek</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content plainlist" style="text-align:left"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Chess_engine" title="Chess engine">Chess engines</a></div><div class="sidebar-list-content mw-collapsible-content" style="text-align:center"> <ul><li><a class="mw-selflink selflink">AlphaZero</a></li> <li><a href="/wiki/Chess_Tiger" title="Chess Tiger">Chess Tiger</a></li> <li><a href="/wiki/Crafty" title="Crafty">Crafty</a></li> <li><a href="/wiki/CuckooChess" title="CuckooChess">CuckooChess</a></li> <li><a href="/wiki/Deep_Fritz" class="mw-redirect" title="Deep Fritz">Deep Fritz</a></li> <li><a href="/wiki/Dragon_by_Komodo_Chess" class="mw-redirect" title="Dragon by Komodo Chess">Dragon by Komodo Chess</a></li> <li><a href="/wiki/Fairy-Max" class="mw-redirect" title="Fairy-Max">Fairy-Max</a></li> <li><a href="/wiki/Fritz_(chess)" title="Fritz (chess)">Fritz</a></li> <li><a href="/wiki/Fruit_(software)" title="Fruit (software)">Fruit</a></li> <li><a href="/wiki/GNU_Chess" title="GNU Chess">GNU Chess</a></li> <li><a href="/wiki/HIARCS" title="HIARCS">HIARCS</a></li> <li><a href="/wiki/Houdini_(chess)" title="Houdini (chess)">Houdini</a></li> <li><a href="/wiki/Ikarus_(chess)" title="Ikarus (chess)">Ikarus</a></li> <li><a href="/wiki/Junior_(chess_program)" title="Junior (chess program)">Junior</a></li> <li><a href="/wiki/KnightCap" title="KnightCap">KnightCap</a></li> <li><a href="/wiki/Komodo_(chess)" title="Komodo (chess)">Komodo</a></li> <li><a href="/wiki/Leela_Chess_Zero" title="Leela Chess Zero">Leela Chess Zero</a></li> <li><a href="/wiki/MChess_Pro" title="MChess Pro">MChess Pro</a></li> <li><a href="/wiki/Mittens_(chess_engine)" class="mw-redirect" title="Mittens (chess engine)">Mittens</a></li> <li><a href="/wiki/MuZero" title="MuZero">MuZero</a></li> <li><a href="/wiki/Naum_(chess)" title="Naum (chess)">Naum</a></li> <li><a href="/wiki/REBEL_(chess)" title="REBEL (chess)">REBEL</a></li> <li><a href="/wiki/Rybka" title="Rybka">Rybka</a></li> <li><a href="/wiki/Shredder_(software)" title="Shredder (software)">Shredder</a></li> <li><a href="/wiki/Sjeng_(chess)" class="mw-redirect" title="Sjeng (chess)">Sjeng</a></li> <li><a href="/wiki/SmarThink" title="SmarThink">SmarThink</a></li> <li><a href="/wiki/Stockfish_(chess)" title="Stockfish (chess)">Stockfish</a></li> <li><a href="/wiki/Torch_(chess_engine)" class="mw-redirect" title="Torch (chess engine)">Torch</a></li> <li><a href="/wiki/Turochamp" title="Turochamp">Turochamp</a></li> <li><a href="/wiki/Zappa_(chess)" title="Zappa (chess)">Zappa</a></li></ul></div></div></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Chess_programming_series" title="Template:Chess programming series"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Chess_programming_series" title="Template talk:Chess programming series"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Chess_programming_series" title="Special:EditPage/Template:Chess programming series"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330" /><table class="sidebar sidebar-collapse nomobile nowraplinks hlist"><tbody><tr><td class="sidebar-pretitle">Part of a series on</td></tr><tr><th class="sidebar-title-with-pretitle"><a href="/wiki/Artificial_intelligence" title="Artificial intelligence">Artificial intelligence (AI)</a></th></tr><tr><td class="sidebar-image"><figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/File:Dall-e_3_(jan_%2724)_artificial_intelligence_icon.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Dall-e_3_%28jan_%2724%29_artificial_intelligence_icon.png/120px-Dall-e_3_%28jan_%2724%29_artificial_intelligence_icon.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Dall-e_3_%28jan_%2724%29_artificial_intelligence_icon.png/250px-Dall-e_3_%28jan_%2724%29_artificial_intelligence_icon.png 1.5x" data-file-width="820" data-file-height="820" /></a><figcaption></figcaption></figure></td></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;color: var(--color-base)"><a href="/wiki/Artificial_intelligence#Goals" title="Artificial intelligence">Major goals</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Artificial_general_intelligence" title="Artificial general intelligence">Artificial general intelligence</a></li> <li><a href="/wiki/Intelligent_agent" title="Intelligent agent">Intelligent agent</a></li> <li><a href="/wiki/Recursive_self-improvement" title="Recursive self-improvement">Recursive self-improvement</a></li> <li><a href="/wiki/Automated_planning_and_scheduling" title="Automated planning and scheduling">Planning</a></li> <li><a href="/wiki/Computer_vision" title="Computer vision">Computer vision</a></li> <li><a href="/wiki/General_game_playing" title="General game playing">General game playing</a></li> <li><a href="/wiki/Knowledge_representation_and_reasoning" title="Knowledge representation and reasoning">Knowledge reasoning</a></li> <li><a href="/wiki/Natural_language_processing" title="Natural language processing">Natural language processing</a></li> <li><a href="/wiki/Robotics" title="Robotics">Robotics</a></li> <li><a href="/wiki/AI_safety" title="AI safety">AI safety</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;color: var(--color-base)">Approaches</div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Machine_learning" title="Machine learning">Machine learning</a></li> <li><a href="/wiki/Symbolic_artificial_intelligence" title="Symbolic artificial intelligence">Symbolic</a></li> <li><a href="/wiki/Deep_learning" title="Deep learning">Deep learning</a></li> <li><a href="/wiki/Bayesian_network" title="Bayesian network">Bayesian networks</a></li> <li><a href="/wiki/Evolutionary_algorithm" title="Evolutionary algorithm">Evolutionary algorithms</a></li> <li><a href="/wiki/Hybrid_intelligent_system" title="Hybrid intelligent system">Hybrid intelligent systems</a></li> <li><a href="/wiki/Artificial_intelligence_systems_integration" title="Artificial intelligence systems integration">Systems integration</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;color: var(--color-base)"><a href="/wiki/Applications_of_artificial_intelligence" title="Applications of artificial intelligence">Applications</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Machine_learning_in_bioinformatics" title="Machine learning in bioinformatics">Bioinformatics</a></li> <li><a href="/wiki/Deepfake" title="Deepfake">Deepfake</a></li> <li><a href="/wiki/Machine_learning_in_earth_sciences" title="Machine learning in earth sciences">Earth sciences</a></li> <li><a href="/wiki/Applications_of_artificial_intelligence#Finance" title="Applications of artificial intelligence"> Finance </a></li> <li><a href="/wiki/Generative_artificial_intelligence" title="Generative artificial intelligence">Generative AI</a> <ul><li><a href="/wiki/Artificial_intelligence_art" title="Artificial intelligence art">Art</a></li> <li><a href="/wiki/Generative_audio" title="Generative audio">Audio</a></li> <li><a href="/wiki/Music_and_artificial_intelligence" title="Music and artificial intelligence">Music</a></li></ul></li> <li><a href="/wiki/Artificial_intelligence_in_government" title="Artificial intelligence in government">Government</a></li> <li><a href="/wiki/Artificial_intelligence_in_healthcare" title="Artificial intelligence in healthcare">Healthcare</a> <ul><li><a href="/wiki/Artificial_intelligence_in_mental_health" title="Artificial intelligence in mental health">Mental health</a></li></ul></li> <li><a href="/wiki/Artificial_intelligence_in_industry" title="Artificial intelligence in industry">Industry</a></li> <li><a href="/wiki/Machine_translation" title="Machine translation">Translation</a></li> <li><a href="/wiki/Artificial_intelligence_arms_race" title="Artificial intelligence arms race"> Military </a></li> <li><a href="/wiki/Machine_learning_in_physics" title="Machine learning in physics">Physics</a></li> <li><a href="/wiki/List_of_artificial_intelligence_projects" title="List of artificial intelligence projects">Projects</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;color: var(--color-base)"><a href="/wiki/Philosophy_of_artificial_intelligence" title="Philosophy of artificial intelligence">Philosophy</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Artificial_consciousness" title="Artificial consciousness">Artificial consciousness</a></li> <li><a href="/wiki/Chinese_room" title="Chinese room">Chinese room</a></li> <li><a href="/wiki/Friendly_artificial_intelligence" title="Friendly artificial intelligence">Friendly AI</a></li> <li><a href="/wiki/AI_control_problem" class="mw-redirect" title="AI control problem">Control problem</a>/<a href="/wiki/AI_takeover" title="AI takeover">Takeover</a></li> <li><a href="/wiki/Ethics_of_artificial_intelligence" title="Ethics of artificial intelligence">Ethics</a></li> <li><a href="/wiki/Existential_risk_from_artificial_general_intelligence" class="mw-redirect" title="Existential risk from artificial general intelligence">Existential risk</a></li> <li><a href="/wiki/Turing_test" title="Turing test">Turing test</a></li> <li><a href="/wiki/Uncanny_valley" title="Uncanny valley">Uncanny valley</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;color: var(--color-base)"><a href="/wiki/History_of_artificial_intelligence" title="History of artificial intelligence">History</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Timeline_of_artificial_intelligence" title="Timeline of artificial intelligence">Timeline</a></li> <li><a href="/wiki/Progress_in_artificial_intelligence" title="Progress in artificial intelligence">Progress</a></li> <li><a href="/wiki/AI_winter" title="AI winter">AI winter</a></li> <li><a href="/wiki/AI_boom" title="AI boom">AI boom</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;color: var(--color-base)">Glossary</div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Glossary_of_artificial_intelligence" title="Glossary of artificial intelligence">Glossary</a></li></ul></div></div></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Artificial_intelligence" title="Template:Artificial intelligence"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Artificial_intelligence" title="Template talk:Artificial intelligence"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Artificial_intelligence" title="Special:EditPage/Template:Artificial intelligence"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>AlphaZero</b> is a <a href="/wiki/Computer_program" title="Computer program">computer program</a> developed by <a href="/wiki/Artificial_intelligence" title="Artificial intelligence">artificial intelligence</a> research company <a href="/wiki/DeepMind" class="mw-redirect" title="DeepMind">DeepMind</a> to master the games of <a href="/wiki/Chess" title="Chess">chess</a>, <a href="/wiki/Shogi" title="Shogi">shogi</a> and <a href="/wiki/Go_(game)" title="Go (game)">go</a>. This <a href="/wiki/Algorithm" title="Algorithm">algorithm</a> uses an approach similar to <a href="/wiki/AlphaGo_Zero" title="AlphaGo Zero">AlphaGo Zero</a>. </p><p>On December 5, 2017, the DeepMind team released a <a href="/wiki/Preprint" title="Preprint">preprint</a> paper introducing AlphaZero,<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> which would soon play three games by defeating world-champion chess engines <a href="/wiki/Stockfish_(chess)" title="Stockfish (chess)">Stockfish</a>, <a href="/wiki/Elmo_(shogi_engine)" title="Elmo (shogi engine)">Elmo</a>, and the three-day version of AlphaGo Zero. In each case it made use of custom <a href="/wiki/Tensor_processing_unit" class="mw-redirect" title="Tensor processing unit">tensor processing units</a> (TPUs) that the Google programs were optimized to use.<sup id="cite_ref-preprint_2-0" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> AlphaZero was trained solely via <a href="/wiki/Self-play_(reinforcement_learning_technique)" class="mw-redirect" title="Self-play (reinforcement learning technique)">self-play</a> using 5,000 first-generation TPUs to generate the games and 64 second-generation TPUs to train the <a href="/wiki/Neural_network" title="Neural network">neural networks</a>, all in <a href="/wiki/Parallel_computing" title="Parallel computing">parallel</a>, with no access to <a href="/wiki/Chess_opening_book_(computers)" title="Chess opening book (computers)">opening books</a> or <a href="/wiki/Endgame_tablebase" title="Endgame tablebase">endgame tables</a>. After four hours of training, DeepMind estimated AlphaZero was playing chess at a higher <a href="/wiki/Elo_rating" class="mw-redirect" title="Elo rating">Elo rating</a> than Stockfish 8; after nine hours of training, the algorithm defeated Stockfish 8 in a time-controlled 100-game tournament (28 wins, 0 losses, and 72 draws).<sup id="cite_ref-preprint_2-1" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-telegraph_3-0" class="reference"><a href="#cite_note-telegraph-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> The trained algorithm played on a single machine with four TPUs. </p><p>DeepMind's paper on AlphaZero was published in the journal <i><a href="/wiki/Science_(journal)" title="Science (journal)">Science</a></i> on 7 December 2018.<sup id="cite_ref-Science20181207_5-0" class="reference"><a href="#cite_note-Science20181207-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> While the actual AlphaZero program has not been released to the public,<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> the algorithm described in the paper has been implemented in publicly available software. In 2019, DeepMind published a new paper detailing <a href="/wiki/MuZero" title="MuZero">MuZero</a>, a new algorithm able to generalize AlphaZero's work, playing both Atari and board games without knowledge of the rules or representations of the game.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <style data-mw-deduplicate="TemplateStyles:r886046785">.mw-parser-output .toclimit-2 .toclevel-1 ul,.mw-parser-output .toclimit-3 .toclevel-2 ul,.mw-parser-output .toclimit-4 .toclevel-3 ul,.mw-parser-output .toclimit-5 .toclevel-4 ul,.mw-parser-output .toclimit-6 .toclevel-5 ul,.mw-parser-output .toclimit-7 .toclevel-6 ul{display:none}</style><div class="toclimit-3"><meta property="mw:PageProp/toc" /></div> <div class="mw-heading mw-heading2"><h2 id="Relation_to_AlphaGo_Zero">Relation to AlphaGo Zero</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=1" title="Edit section: Relation to AlphaGo Zero"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">Further information: <a href="/wiki/AlphaGo_Zero" title="AlphaGo Zero">AlphaGo Zero</a></div> <p>AlphaZero (AZ) is a more generalized variant of the AlphaGo Zero (AGZ) <a href="/wiki/Algorithm" title="Algorithm">algorithm</a>, and is able to play <a href="/wiki/Shogi" title="Shogi">shogi</a> and <a href="/wiki/Chess" title="Chess">chess</a> as well as <a href="/wiki/Go_(game)" title="Go (game)">Go</a>. Differences between AZ and AGZ include:<sup id="cite_ref-preprint_2-2" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <ul><li>AZ has hard-coded rules for setting search <a href="/wiki/Hyperparameter_(machine_learning)" title="Hyperparameter (machine learning)">hyperparameters</a>.</li> <li>The neural network is now updated continually.</li> <li>AZ doesn't use symmetries, unlike AGZ.</li> <li>Chess or Shogi can end in a <a href="/wiki/Draw_(chess)" title="Draw (chess)">draw</a> unlike Go; therefore, AlphaZero takes into account the possibility of a drawn game.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Stockfish_and_Elmo">Stockfish and Elmo</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=2" title="Edit section: Stockfish and Elmo"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Further information: <a href="/wiki/Stockfish_(chess)" title="Stockfish (chess)">Stockfish (chess)</a> and <a href="/wiki/Elmo_(shogi_engine)" title="Elmo (shogi engine)">elmo (shogi engine)</a></div> <p>Comparing <a href="/wiki/Monte_Carlo_tree_search" title="Monte Carlo tree search">Monte Carlo tree search</a> searches, AlphaZero searches just 80,000 positions per second in chess and 40,000 in shogi, compared to 70 million for Stockfish and 35 million for Elmo. AlphaZero compensates for the lower number of evaluations by using its deep neural network to focus much more selectively on the most promising variation.<sup id="cite_ref-preprint_2-3" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Training">Training</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=3" title="Edit section: Training"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>AlphaZero was trained by simply playing against itself multiple times, using 5,000 first-generation TPUs to generate the games and 64 second-generation TPUs to train the <a href="/wiki/Neural_network" title="Neural network">neural networks</a>. Training took several days, totaling about 41 TPU-years. It cost 3e22 FLOPs.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </p><p>In parallel, the in-training AlphaZero was periodically matched against its benchmark (Stockfish, Elmo, or AlphaGo Zero) in brief one-second-per-move games to determine how well the training was progressing. DeepMind judged that AlphaZero's performance exceeded the benchmark after around four hours of training for Stockfish, two hours for Elmo, and eight hours for AlphaGo Zero.<sup id="cite_ref-preprint_2-4" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Preliminary_results">Preliminary results</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=4" title="Edit section: Preliminary results"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Outcome">Outcome</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=5" title="Edit section: Outcome"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Chess">Chess</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=6" title="Edit section: Chess"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In AlphaZero's chess match against Stockfish 8 (2016 <a href="/wiki/Top_Chess_Engine_Championship" title="Top Chess Engine Championship">TCEC</a> world champion), each program was given one minute per move. AlphaZero was flying the English flag, while Stockfish the Norwegian.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> Stockfish was allocated 64 threads and a <a href="/wiki/Hash_table" title="Hash table">hash</a> size of 1 GB,<sup id="cite_ref-preprint_2-5" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> a setting that Stockfish's <a href="/w/index.php?title=Tord_Romstad&action=edit&redlink=1" class="new" title="Tord Romstad (page does not exist)">Tord Romstad</a> later criticized as suboptimal.<sup id="cite_ref-romstad_10-0" class="reference"><a href="#cite_note-romstad-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>note 1<span class="cite-bracket">]</span></a></sup> AlphaZero was trained on chess for a total of nine hours before the match. During the match, AlphaZero ran on a single machine with four application-specific <a href="/wiki/Tensor_processing_unit" class="mw-redirect" title="Tensor processing unit">TPUs</a>. In 100 games from the normal starting position, AlphaZero won 25 games as White, won 3 as Black, and drew the remaining 72.<sup id="cite_ref-bbc_12-0" class="reference"><a href="#cite_note-bbc-12"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> In a series of twelve, 100-game matches (of unspecified time or resource constraints) against Stockfish starting from the 12 most popular human openings, AlphaZero won 290, drew 886 and lost 24.<sup id="cite_ref-preprint_2-6" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Shogi">Shogi</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=7" title="Edit section: Shogi"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>AlphaZero was trained on shogi for a total of two hours before the tournament. In 100 shogi games against Elmo (World Computer Shogi Championship 27 summer 2017 tournament version with YaneuraOu 4.73 search), AlphaZero won 90 times, lost 8 times and drew twice.<sup id="cite_ref-bbc_12-1" class="reference"><a href="#cite_note-bbc-12"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> As in the chess games, each program got one minute per move, and Elmo was given 64 threads and a hash size of 1 GB.<sup id="cite_ref-preprint_2-7" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Go">Go</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=8" title="Edit section: Go"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>After 34 hours of self-learning of Go and against AlphaGo Zero, AlphaZero won 60 games and lost 40.<sup id="cite_ref-preprint_2-8" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-bbc_12-2" class="reference"><a href="#cite_note-bbc-12"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Analysis">Analysis</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=9" title="Edit section: Analysis"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>DeepMind stated in its preprint, "The game of chess represented the pinnacle of AI research over several decades. State-of-the-art programs are based on powerful engines that search many millions of positions, leveraging handcrafted domain expertise and sophisticated domain adaptations. AlphaZero is a generic <a href="/wiki/Reinforcement_learning" title="Reinforcement learning">reinforcement learning</a> algorithm –  originally devised for the game of go –  that achieved superior results within a few hours, searching a thousand times fewer positions, given no domain knowledge except the rules."<sup id="cite_ref-preprint_2-9" class="reference"><a href="#cite_note-preprint-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> DeepMind's <a href="/wiki/Demis_Hassabis" title="Demis Hassabis">Demis Hassabis</a>, a chess player himself, called AlphaZero's play style "alien": It sometimes wins by offering counterintuitive sacrifices, like offering up a queen and bishop to exploit a positional advantage. "It's like chess from another dimension."<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </p><p>Given the difficulty in chess of <a href="/wiki/First-move_advantage_in_chess#Drawn_with_best_play" title="First-move advantage in chess">forcing a win against a strong opponent</a>, the +28 –0 =72 result is a significant margin of victory. However, some grandmasters, such as <a href="/wiki/Hikaru_Nakamura" title="Hikaru Nakamura">Hikaru Nakamura</a> and <a href="/wiki/Komodo_(chess)" title="Komodo (chess)">Komodo</a> developer <a href="/wiki/Larry_Kaufman" title="Larry Kaufman">Larry Kaufman</a>, downplayed AlphaZero's victory, arguing that the match would have been closer if the programs had access to an <a href="/wiki/Chess_opening" title="Chess opening">opening</a> database (since Stockfish was optimized for that scenario).<sup id="cite_ref-chess.com_14-0" class="reference"><a href="#cite_note-chess.com-14"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Romstad additionally pointed out that Stockfish is not optimized for rigidly fixed-time moves and the version used was a year old.<sup id="cite_ref-romstad_10-2" class="reference"><a href="#cite_note-romstad-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p><p>Similarly, some shogi observers argued that the Elmo hash size was too low, that the resignation settings and the "EnteringKingRule" settings (cf. <a href="/wiki/Shogi#Entering_King" title="Shogi">shogi § Entering King</a>) may have been inappropriate, and that Elmo is already obsolete compared with newer programs.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Reaction_and_criticism">Reaction and criticism</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=10" title="Edit section: Reaction and criticism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Papers headlined that the chess training took only four hours: "It was managed in little more than the time between breakfast and lunch."<sup id="cite_ref-telegraph_3-1" class="reference"><a href="#cite_note-telegraph-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-tol_18-0" class="reference"><a href="#cite_note-tol-18"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> <i><a href="/wiki/Wired_(magazine)" title="Wired (magazine)">Wired</a></i> described AlphaZero as "the first multi-skilled AI board-game champ".<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> AI expert Joanna Bryson noted that Google's "knack for good publicity" was putting it in a strong position against challengers. "It's not only about hiring the best programmers. It's also very political, as it helps make Google as strong as possible when negotiating with governments and regulators looking at the AI sector."<sup id="cite_ref-bbc_12-3" class="reference"><a href="#cite_note-bbc-12"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p><p>Human chess grandmasters generally expressed excitement about AlphaZero. Danish grandmaster <a href="/wiki/Peter_Heine_Nielsen" title="Peter Heine Nielsen">Peter Heine Nielsen</a> likened AlphaZero's play to that of a superior alien species.<sup id="cite_ref-bbc_12-4" class="reference"><a href="#cite_note-bbc-12"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> Norwegian grandmaster <a href="/wiki/Jon_Ludvig_Hammer" title="Jon Ludvig Hammer">Jon Ludvig Hammer</a> characterized AlphaZero's play as "insane attacking chess" with profound positional understanding.<sup id="cite_ref-telegraph_3-2" class="reference"><a href="#cite_note-telegraph-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Former <a href="/wiki/World_chess_champion" class="mw-redirect" title="World chess champion">champion</a> <a href="/wiki/Garry_Kasparov" title="Garry Kasparov">Garry Kasparov</a> said, "It's a remarkable achievement, even if we should have expected it after AlphaGo."<sup id="cite_ref-chess.com_14-1" class="reference"><a href="#cite_note-chess.com-14"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> </p><p>Grandmaster <a href="/wiki/Hikaru_Nakamura" title="Hikaru Nakamura">Hikaru Nakamura</a> was less impressed, stating: "I don't necessarily put a lot of credibility in the results simply because my understanding is that AlphaZero is basically using the Google supercomputer and Stockfish doesn't run on that hardware; Stockfish was basically running on what would be my laptop. If you wanna have a match that's comparable you have to have Stockfish running on a supercomputer as well."<sup id="cite_ref-romstad_10-3" class="reference"><a href="#cite_note-romstad-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p><p>Top US correspondence chess player Wolff Morrow was also unimpressed, claiming that AlphaZero would probably not make the semifinals of a fair competition such as <a href="/wiki/TCEC" class="mw-redirect" title="TCEC">TCEC</a> where all engines play on equal hardware. Morrow further stated that although he might not be able to beat AlphaZero if AlphaZero played drawish openings such as the <a href="/wiki/Petroff_Defence" class="mw-redirect" title="Petroff Defence">Petroff Defence</a>, AlphaZero would not be able to beat him in a <a href="/wiki/Correspondence_chess" title="Correspondence chess">correspondence chess</a> game either.<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </p><p>Motohiro Isozaki, the author of YaneuraOu, noted that although AlphaZero did comprehensively beat Elmo, the rating of AlphaZero in shogi stopped growing at a point which is at most 100–200 higher than Elmo. This gap is not that high, and Elmo and other shogi software should be able to catch up in 1–2 years.<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Final_results">Final results</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=11" title="Edit section: Final results"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>DeepMind addressed many of the criticisms in their final version of the paper, published in December 2018 in <i><a href="/wiki/Science_(journal)" title="Science (journal)">Science</a></i>.<sup id="cite_ref-Science20181207_5-1" class="reference"><a href="#cite_note-Science20181207-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> They further clarified that AlphaZero was not running on a supercomputer; it was trained using 5,000 <a href="/wiki/Tensor_processing_units" class="mw-redirect" title="Tensor processing units">tensor processing units</a> (TPUs), but only ran on four TPUs and a 44-core CPU in its matches.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Chess_2">Chess</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=12" title="Edit section: Chess"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In the final results, Stockfish 9 dev ran under the same conditions as in the <a href="/wiki/Top_Chess_Engine_Championship" title="Top Chess Engine Championship">TCEC</a> superfinal: 44 CPU cores, Syzygy <a href="/wiki/Endgame_tablebase" title="Endgame tablebase">endgame tablebases</a>, and a 32 GB hash size. Instead of a fixed <a href="/wiki/Time_control" title="Time control">time control</a> of one move per minute, both engines were given 3 hours plus 15 seconds per move to finish the game. AlphaZero ran on a machine with four TPUs in addition to 44 CPU cores. In a 1000-game match, AlphaZero won with a score of 155 wins, 6 losses, and 839 draws. DeepMind also played a series of games using the TCEC opening positions; AlphaZero also won convincingly. Stockfish needed 10-to-1 time odds to match AlphaZero.<sup id="cite_ref-pete_24-0" class="reference"><a href="#cite_note-pete-24"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Shogi_2">Shogi</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=13" title="Edit section: Shogi"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Similar to Stockfish, Elmo ran under the same conditions as in the 2017 CSA championship. The version of Elmo used was WCSC27 in combination with YaneuraOu 2017 Early KPPT 4.79 64AVX2 TOURNAMENT. Elmo operated on the same hardware as Stockfish: 44 CPU cores and a 32 GB hash size. AlphaZero won 98.2% of games when playing sente (i.e. having the first move) and 91.2% overall. </p> <div class="mw-heading mw-heading3"><h3 id="Reactions_and_criticisms">Reactions and criticisms</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=14" title="Edit section: Reactions and criticisms"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Human grandmasters were generally impressed with AlphaZero's games against Stockfish.<sup id="cite_ref-pete_24-1" class="reference"><a href="#cite_note-pete-24"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> Former world champion <a href="/wiki/Garry_Kasparov" title="Garry Kasparov">Garry Kasparov</a> said it was a pleasure to watch AlphaZero play, especially since its style was open and dynamic like his own.<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> </p><p>In the computer chess community, <a href="/wiki/Komodo_(chess)" title="Komodo (chess)">Komodo</a> developer Mark Lefler called it a "pretty amazing achievement", but also pointed out that the data was old, since Stockfish had gained a lot of strength since January 2018 (when Stockfish 8 was released). Fellow developer Larry Kaufman said AlphaZero would probably lose a match against the latest version of Stockfish, Stockfish 10, under Top Chess Engine Championship (TCEC) conditions. Kaufman argued that the only advantage of neural network–based engines was that they used a GPU, so if there was no regard for power consumption (e.g. in an equal-hardware contest where both engines had access to the same CPU and GPU) then anything the GPU achieved was "free". Based on this, he stated that the strongest engine was likely to be a hybrid with neural networks and standard <a href="/wiki/Alpha%E2%80%93beta_search" class="mw-redirect" title="Alpha–beta search">alpha–beta search</a>.<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> </p><p>AlphaZero inspired the computer chess community to develop <a href="/wiki/Leela_Chess_Zero" title="Leela Chess Zero">Leela Chess Zero</a>, using the same techniques as AlphaZero. Leela contested several championships against Stockfish, where it showed roughly similar strength to Stockfish, although Stockfish has since pulled away.<sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup> </p><p>In 2019 DeepMind published <a href="/wiki/MuZero" title="MuZero">MuZero</a>, a unified system that played excellent chess, shogi, and go, as well as games in the <a href="/wiki/Atari_2600" title="Atari 2600">Atari</a> Learning Environment, without being pre-programmed with their rules.<sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=15" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col" style="column-width: 30em;"> <ul><li><a href="/wiki/AlphaGo" title="AlphaGo">AlphaGo</a></li> <li><a href="/wiki/AlphaDev" title="AlphaDev">AlphaDev</a></li> <li><a href="/wiki/AlphaFold" title="AlphaFold">AlphaFold</a></li> <li><a href="/wiki/AlphaGeometry" title="AlphaGeometry">AlphaGeometry</a></li> <li><a href="/wiki/General_game_playing" title="General game playing">General game playing</a> <ul><li><a href="/wiki/MuZero" title="MuZero">MuZero</a></li></ul></li> <li><a href="/wiki/Leela_Chess_Zero" title="Leela Chess Zero">Leela Chess Zero</a></li> <li><a href="/wiki/Pluribus_(poker_bot)" title="Pluribus (poker bot)">Pluribus (poker bot)</a></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=16" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text">Stockfish developer Tord Romstad responded with <blockquote><p>The match results by themselves are not particularly meaningful because of the rather strange choice of time controls and Stockfish parameter settings: The games were played at a fixed time of 1 minute/move, which means that Stockfish has no use of its time management heuristics (lot of effort has been put into making Stockfish identify critical points in the game and decide when to spend some extra time on a move; at a fixed time per move, the strength will suffer significantly). The version of Stockfish used is one year old, was playing with far more search threads than has ever received any significant amount of testing, and had way too small hash tables for the number of threads. I believe the percentage of draws would have been much higher in a match with more normal conditions.<sup id="cite_ref-romstad_10-1" class="reference"><a href="#cite_note-romstad-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup></p></blockquote></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=17" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239543626" /><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.idi.ntnu.no/emner/it3105/materials/neural/silver-2017b.pdf">"Silver"</a> <span class="cs1-format">(PDF)</span>. <i>idi.ntnu.no</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=idi.ntnu.no&rft.atitle=Silver&rft_id=https%3A%2F%2Fwww.idi.ntnu.no%2Femner%2Fit3105%2Fmaterials%2Fneural%2Fsilver-2017b.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-preprint-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-preprint_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-preprint_2-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-preprint_2-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-preprint_2-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-preprint_2-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-preprint_2-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-preprint_2-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-preprint_2-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-preprint_2-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-preprint_2-9"><sup><i><b>j</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFSilverHubertSchrittwieserAntonoglou2017" class="citation arxiv cs1"><a href="/wiki/David_Silver_(computer_scientist)" title="David Silver (computer scientist)">Silver, David</a>; 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The developer of YaneuraOu, a search component used by elmo. December 7, 2017<span class="reference-accessdate">. Retrieved <span class="nowrap">December 9,</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=DeepMind%E7%A4%BE%E3%81%8C%E3%82%84%E3%81%AD%E3%81%86%E3%82%89%E7%8E%8B%E3%81%AB%E6%B3%A8%E7%9B%AE%E3%81%97%E5%A7%8B%E3%82%81%E3%81%9F%E3%82%88%E3%81%86%E3%81%A7%E3%81%99&rft.pub=The+developer+of+YaneuraOu%2C+a+search+component+used+by+elmo&rft.date=2017-12-07&rft_id=http%3A%2F%2Fyaneuraou.yaneu.com%2F2017%2F12%2F07%2Fdeepmind%25E7%25A4%25BE%25E3%2581%258C%25E3%2582%2584%25E3%2581%25AD%25E3%2581%2586%25E3%2582%2589%25E7%258E%258B%25E3%2581%25AB%25E6%25B3%25A8%25E7%259B%25AE%25E3%2581%2597%25E5%25A7%258B%25E3%2582%2581%25E3%2581%259F%25E3%2582%2588%25E3%2581%2586%25E3%2581%25A7%25E3%2581%2599%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-tol-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-tol_18-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBadshah2017" class="citation news cs1">Badshah, Nadeem (December 7, 2017). <a rel="nofollow" class="external text" href="https://www.thetimes.co.uk/article/google-s-deepmind-alphazero-becomes-world-beating-chess-grandmaster-in-four-hours-hcppp9vr2">"Google's DeepMind robot becomes world-beating chess grandmaster in four hours"</a>. <i><a href="/wiki/The_Times_of_London" class="mw-redirect" title="The Times of London">The Times of London</a></i><span class="reference-accessdate">. Retrieved <span class="nowrap">December 7,</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+Times+of+London&rft.atitle=Google%27s+DeepMind+robot+becomes+world-beating+chess+grandmaster+in+four+hours&rft.date=2017-12-07&rft.aulast=Badshah&rft.aufirst=Nadeem&rft_id=https%3A%2F%2Fwww.thetimes.co.uk%2Farticle%2Fgoogle-s-deepmind-alphazero-becomes-world-beating-chess-grandmaster-in-four-hours-hcppp9vr2&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation magazine cs1"><a rel="nofollow" class="external text" href="https://www.wired.com/story/alphabets-latest-ai-show-pony-has-more-than-one-trick/">"Alphabet's Latest AI Show Pony Has More Than One Trick"</a>. <i>WIRED</i>. December 6, 2017<span class="reference-accessdate">. Retrieved <span class="nowrap">December 7,</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=WIRED&rft.atitle=Alphabet%27s+Latest+AI+Show+Pony+Has+More+Than+One+Trick&rft.date=2017-12-06&rft_id=https%3A%2F%2Fwww.wired.com%2Fstory%2Falphabets-latest-ai-show-pony-has-more-than-one-trick%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-20">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFGibbs2017" class="citation news cs1">Gibbs, Samuel (December 7, 2017). <a rel="nofollow" class="external text" href="https://www.theguardian.com/technology/2017/dec/07/alphazero-google-deepmind-ai-beats-champion-program-teaching-itself-to-play-four-hours">"AlphaZero AI beats champion chess program after teaching itself in four hours"</a>. <i>The Guardian</i><span class="reference-accessdate">. Retrieved <span class="nowrap">December 8,</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+Guardian&rft.atitle=AlphaZero+AI+beats+champion+chess+program+after+teaching+itself+in+four+hours&rft.date=2017-12-07&rft.aulast=Gibbs&rft.aufirst=Samuel&rft_id=https%3A%2F%2Fwww.theguardian.com%2Ftechnology%2F2017%2Fdec%2F07%2Falphazero-google-deepmind-ai-beats-champion-program-teaching-itself-to-play-four-hours&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-21">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://en.chessbase.com/post/correspondence-chess-and-correspondence-database-2018">"Talking modern correspondence chess"</a>. Chessbase. June 26, 2018<span class="reference-accessdate">. Retrieved <span class="nowrap">July 11,</span> 2018</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Talking+modern+correspondence+chess&rft.pub=Chessbase&rft.date=2018-06-26&rft_id=https%3A%2F%2Fen.chessbase.com%2Fpost%2Fcorrespondence-chess-and-correspondence-database-2018&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-22">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://yaneuraou.yaneu.com/2017/12/07/deepmind%E7%A4%BE%E3%81%8C%E3%82%84%E3%81%AD%E3%81%86%E3%82%89%E7%8E%8B%E3%81%AB%E6%B3%A8%E7%9B%AE%E3%81%97%E5%A7%8B%E3%82%81%E3%81%9F%E3%82%88%E3%81%86%E3%81%A7%E3%81%99/">DeepMind社がやねうら王に注目し始めたようです | やねうら王公式サイト</a>, 2017年12月7日</span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text">As given in the <i>Science</i> paper, a TPU is "roughly similar in inference speed to a Titan V GPU, although the architectures are not directly comparable" (Ref. 24).</span> </li> <li id="cite_note-pete-24"><span class="mw-cite-backlink">^ <a href="#cite_ref-pete_24-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-pete_24-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.chess.com/news/view/updated-alphazero-crushes-stockfish-in-new-1-000-game-match">"AlphaZero Crushes Stockfish In New 1,000-Game Match"</a>. December 6, 2018.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=AlphaZero+Crushes+Stockfish+In+New+1%2C000-Game+Match&rft.date=2018-12-06&rft_id=https%3A%2F%2Fwww.chess.com%2Fnews%2Fview%2Fupdated-alphazero-crushes-stockfish-in-new-1-000-game-match&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-25">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFSean_Ingle2018" class="citation web cs1">Sean Ingle (December 11, 2018). <a rel="nofollow" class="external text" href="https://www.theguardian.com/sport/2018/dec/11/creative-alphazero-leads-way-chess-computers-science">"<span class="cs1-kern-left"></span>'Creative' AlphaZero leads way for chess computers and, maybe, science"</a>. <i>The Guardian</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+Guardian&rft.atitle=%27Creative%27+AlphaZero+leads+way+for+chess+computers+and%2C+maybe%2C+science&rft.date=2018-12-11&rft.au=Sean+Ingle&rft_id=https%3A%2F%2Fwww.theguardian.com%2Fsport%2F2018%2Fdec%2F11%2Fcreative-alphazero-leads-way-chess-computers-science&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFAlbert_Silver2018" class="citation web cs1">Albert Silver (December 7, 2018). <a rel="nofollow" class="external text" href="https://en.chessbase.com/post/the-full-alphazero-paper-is-published-at-long-last">"Inside the (deep) mind of AlphaZero"</a>. Chessbase.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Inside+the+%28deep%29+mind+of+AlphaZero&rft.pub=Chessbase&rft.date=2018-12-07&rft.au=Albert+Silver&rft_id=https%3A%2F%2Fen.chessbase.com%2Fpost%2Fthe-full-alphazero-paper-is-published-at-long-last&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-27">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.chessdom.com/komodo-mcts-monte-carlo-tree-search-is-the-new-star-of-tcec/">"Komodo MCTS (Monte Carlo Tree Search) is the new star of TCEC"</a>. Chessdom. December 18, 2018.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Komodo+MCTS+%28Monte+Carlo+Tree+Search%29+is+the+new+star+of+TCEC&rft.pub=Chessdom&rft.date=2018-12-18&rft_id=http%3A%2F%2Fwww.chessdom.com%2Fkomodo-mcts-monte-carlo-tree-search-is-the-new-star-of-tcec%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><b><a href="#cite_ref-28">^</a></b></span> <span class="reference-text">See <a href="/wiki/TCEC" class="mw-redirect" title="TCEC">TCEC</a> and <a href="/wiki/Leela_Chess_Zero" title="Leela Chess Zero">Leela Chess Zero</a>.</span> </li> <li id="cite_note-29"><span class="mw-cite-backlink"><b><a href="#cite_ref-29">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation news cs1"><a rel="nofollow" class="external text" href="https://fortune.com/2019/11/26/ai-is-the-problem-and-the-solution/">"Could Artificial Intelligence Save Us From Itself?"</a>. <i>Fortune</i>. 2019<span class="reference-accessdate">. Retrieved <span class="nowrap">February 29,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Fortune&rft.atitle=Could+Artificial+Intelligence+Save+Us+From+Itself%3F&rft.date=2019&rft_id=https%3A%2F%2Ffortune.com%2F2019%2F11%2F26%2Fai-is-the-problem-and-the-solution%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> <li id="cite_note-30"><span class="mw-cite-backlink"><b><a href="#cite_ref-30">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation news cs1"><a rel="nofollow" class="external text" href="https://venturebeat.com/2019/11/20/deepminds-muzero-teaches-itself-how-to-win-at-atari-chess-shogi-and-go/">"DeepMind's MuZero teaches itself how to win at Atari, chess, shogi, and Go"</a>. <i>VentureBeat</i>. November 20, 2019<span class="reference-accessdate">. Retrieved <span class="nowrap">February 29,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=VentureBeat&rft.atitle=DeepMind%27s+MuZero+teaches+itself+how+to+win+at+Atari%2C+chess%2C+shogi%2C+and+Go&rft.date=2019-11-20&rft_id=https%3A%2F%2Fventurebeat.com%2F2019%2F11%2F20%2Fdeepminds-muzero-teaches-itself-how-to-win-at-atari-chess-shogi-and-go%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAlphaZero" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AlphaZero&action=edit&section=18" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://www.chessprogramming.org/AlphaZero">Chessprogramming wiki on AlphaZero</a></li> <li><a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=akgalUq5vew&list=PL-qLOQ-OEls607FPLAsPZ6De4f1W3ZF-I">Chess.com Youtube playlist for AlphaZero vs. Stockfish</a></li></ul> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output 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href="/wiki/Grandmaster_(chess)" title="Grandmaster (chess)">Grandmaster</a></li></ul></li> <li><a href="/wiki/Computer_chess" title="Computer chess">Computer chess</a> <ul><li><a href="/wiki/Glossary_of_computer_chess_terms" title="Glossary of computer chess terms">glossary</a></li> <li><a href="/wiki/Human%E2%80%93computer_chess_matches" title="Human–computer chess matches">matches</a></li> <li><a href="/wiki/Chess_engine" title="Chess engine">engines</a></li> <li><a href="/wiki/List_of_chess_software" title="List of chess software">software</a></li></ul></li> <li><a href="/wiki/Correspondence_chess" title="Correspondence chess">Correspondence chess</a></li> <li><a href="/wiki/FIDE" title="FIDE">FIDE</a></li> <li><a href="/wiki/Glossary_of_chess" title="Glossary of chess">Glossary</a></li> <li><a href="/wiki/Online_chess" title="Online chess">Online chess</a> <ul><li><a href="/wiki/Premove" title="Premove">Premove</a></li> <li><a href="/wiki/Internet_chess_server" class="mw-redirect" title="Internet chess server">Internet chess server</a> <ul><li><a href="/wiki/List_of_internet_chess_platforms" title="List of internet chess platforms">list</a></li></ul></li></ul></li> <li><a href="/wiki/Chess_rating_system" title="Chess rating system">Rating system</a> <ul><li><a href="/wiki/FIDE_world_rankings" class="mw-redirect" title="FIDE world rankings">world rankings</a></li> <li><a href="/wiki/Norm_(chess)" title="Norm (chess)">norms</a></li></ul></li> <li><a href="/wiki/Chess_variant" title="Chess variant">Variants</a> <ul><li><a href="/wiki/List_of_chess_variants" title="List of chess variants">List</a></li></ul></li> <li><a href="/wiki/List_of_world_records_in_chess" title="List of world records in chess">World records</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_equipment" title="Chess equipment">Equipment</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chess_set" title="Chess set">Chess set</a> <ul><li><a href="/wiki/Chessboard" title="Chessboard">chessboard</a></li> <li><a href="/wiki/Dubrovnik_chess_set" title="Dubrovnik chess set">Dubrovnik chess set</a></li> <li><a href="/wiki/Staunton_chess_set" title="Staunton chess set">Staunton chess set</a></li></ul></li> <li><a href="/wiki/Chess_piece" title="Chess piece">Chess pieces</a> <ul><li><a href="/wiki/King_(chess)" title="King (chess)">King</a></li> <li><a href="/wiki/Queen_(chess)" title="Queen (chess)">Queen</a></li> <li><a href="/wiki/Rook_(chess)" title="Rook (chess)">Rook</a></li> <li><a href="/wiki/Bishop_(chess)" title="Bishop (chess)">Bishop</a></li> <li><a href="/wiki/Knight_(chess)" title="Knight (chess)">Knight</a></li> <li><a href="/wiki/Pawn_(chess)" title="Pawn (chess)">Pawn</a></li> <li><a href="/wiki/Fairy_chess_piece" title="Fairy chess piece">Fairy</a></li></ul></li> <li><a href="/wiki/Chess_clock" title="Chess clock">Chess clock</a></li> <li><a href="/wiki/Chess_table" title="Chess table">Chess table</a></li> <li><dfn><a href="/wiki/Glossary_of_chess#score_sheets" title="Glossary of chess"><span title="See entry at: Glossary of chess § Score sheets" style="color:inherit;" class="glossary-link">Score sheets</span></a></dfn></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/History_of_chess" title="History of chess">History</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Timeline_of_chess" title="Timeline of chess">Timeline</a> <ul><li><i><a href="/wiki/Versus_de_scachis" title="Versus de scachis">Versus de scachis</a></i></li> <li><i><a href="/wiki/G%C3%B6ttingen_manuscript" title="Göttingen manuscript">Göttingen manuscript</a></i></li> <li><a href="/wiki/Charlemagne_chessmen" title="Charlemagne chessmen">Charlemagne chessmen</a></li> <li><a href="/wiki/Lewis_chessmen" title="Lewis chessmen">Lewis chessmen</a></li> <li><a href="/wiki/Romantic_chess" title="Romantic chess">Romantic chess</a></li> <li><a href="/wiki/Hypermodernism_(chess)" title="Hypermodernism (chess)">Hypermodernism</a></li> <li><a href="/wiki/Soviet_chess_school" title="Soviet chess school">Soviet chess school</a></li> <li><a href="/wiki/Comparison_of_top_chess_players_throughout_history" title="Comparison of top chess players throughout history">Top player comparison</a></li></ul></li> <li><a href="/wiki/Geography_of_chess" title="Geography of chess">Geography of chess</a> <ul><li><a href="/wiki/Chess_in_Africa" title="Chess in Africa">Africa</a> <ul><li><a href="/wiki/Chess_in_South_Africa" title="Chess in South Africa">South Africa</a></li></ul></li> <li><a href="/wiki/Chess_in_China" title="Chess in China">China</a></li> <li><a href="/wiki/Chess_in_Europe" title="Chess in Europe">Europe</a> <ul><li><a href="/wiki/Chess_in_Armenia" title="Chess in Armenia">Armenia</a></li> <li><a href="/wiki/Chess_in_Spain" title="Chess in Spain">Spain</a></li></ul></li> <li><a href="/wiki/Chess_in_India" title="Chess in India">India</a></li></ul></li> <li><a href="/wiki/List_of_chess_games" title="List of chess games">Notable games</a></li> <li><a href="/wiki/List_of_chess_players" title="List of chess players">List of chess players</a> <ul><li><a href="/wiki/List_of_amateur_chess_players" title="List of amateur chess players">amateurs</a></li> <li><a href="/wiki/List_of_female_chess_players" title="List of female chess players">female</a></li> <li><a href="/wiki/List_of_chess_grandmasters" title="List of chess grandmasters">grandmasters</a></li></ul></li> <li><a href="/wiki/Women_in_chess" title="Women in chess">Women in chess</a></li> <li><a href="/wiki/Transgender_people_in_chess" title="Transgender people in chess">Transgender people in chess</a></li> <li><a href="/wiki/Category:Chess_museums" title="Category:Chess museums">Chess museums</a> <ul><li><a href="/wiki/Bobby_Fischer_Center" title="Bobby Fischer Center">Bobby Fischer Center</a></li> <li><a href="/wiki/G%C3%B6kyay_Association_Chess_Museum" title="Gökyay Association Chess Museum">Gökyay Association Chess Museum</a></li> <li><a href="/wiki/World_Chess_Hall_of_Fame" title="World Chess Hall of Fame">World Chess Hall of Fame</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Rules_of_chess" title="Rules of chess">Rules</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Castling" title="Castling">Castling</a></li> <li><a href="/wiki/Cheating_in_chess" title="Cheating in chess">Cheating in chess</a></li> <li><a href="/wiki/Check_(chess)" title="Check (chess)">Check</a></li> <li><a href="/wiki/Checkmate" title="Checkmate">Checkmate</a></li> <li><a href="/wiki/Draw_(chess)" title="Draw (chess)">Draw</a> <ul><li><a href="/wiki/Draw_by_agreement" title="Draw by agreement">by agreement</a></li> <li><a href="/wiki/Fifty-move_rule" title="Fifty-move rule">Fifty-move rule</a></li> <li><a href="/wiki/Perpetual_check" title="Perpetual check">Perpetual check</a></li> <li><a href="/wiki/Stalemate" title="Stalemate">Stalemate</a></li> <li><a href="/wiki/Threefold_repetition" title="Threefold repetition">Threefold repetition</a></li></ul></li> <li><i><a href="/wiki/En_passant" title="En passant">En passant</a></i></li> <li><a href="/wiki/Promotion_(chess)" title="Promotion (chess)">Pawn promotion</a></li> <li><a href="/wiki/Time_control" title="Time control">Time control</a> <ul><li><a href="/wiki/Fast_chess" title="Fast chess">Fast chess</a></li></ul></li> <li><a href="/wiki/Touch-move_rule" title="Touch-move rule">Touch-move rule</a></li> <li><a href="/wiki/White_and_Black_in_chess" title="White and Black in chess">White and Black</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Glossary_of_chess" title="Glossary of chess">Terms</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Blunder_(chess)" title="Blunder (chess)">Blunder</a></li> <li><a href="/wiki/Chess_notation" title="Chess notation">Chess notation</a> <ul><li><a href="/wiki/Algebraic_notation_(chess)" title="Algebraic notation (chess)">algebraic</a></li> <li><a href="/wiki/Descriptive_notation" title="Descriptive notation">descriptive</a></li> <li><a href="/wiki/Portable_Game_Notation" title="Portable Game Notation">PGN</a></li> <li><a href="/wiki/Chess_annotation_symbols" title="Chess annotation symbols">annotation symbols</a></li> <li><a href="/wiki/Chess_symbols_in_Unicode" title="Chess symbols in Unicode">symbols in Unicode</a></li></ul></li> <li><a href="/wiki/Fianchetto" title="Fianchetto">Fianchetto</a></li> <li><a href="/wiki/Gambit" title="Gambit">Gambit</a></li> <li><a href="/wiki/Key_square" title="Key square">Key square</a></li> <li><a href="/wiki/King_walk" title="King walk">King walk</a></li> <li><a href="/wiki/Open_file" title="Open file">Open file</a> <ul><li><a href="/wiki/Half-open_file" title="Half-open file">Half-open file</a></li></ul></li> <li><a href="/wiki/Outpost_(chess)" title="Outpost (chess)">Outpost</a></li> <li><a href="/wiki/Pawn_(chess)" title="Pawn (chess)">Pawns</a> <ul><li><a href="/wiki/Backward_pawn" title="Backward pawn">backward</a></li> <li><a href="/wiki/Connected_pawns" title="Connected pawns">connected</a></li> <li><a href="/wiki/Doubled_pawns" title="Doubled pawns">doubled</a></li> <li><a href="/wiki/Isolated_pawn" title="Isolated pawn">isolated</a></li> <li><a href="/wiki/Passed_pawn" title="Passed pawn">passed</a></li></ul></li> <li><a href="/wiki/Swindle_(chess)" title="Swindle (chess)">Swindle</a></li> <li><a href="/wiki/Tempo_(chess)" title="Tempo (chess)">Tempo</a></li> <li><a href="/wiki/Transposition_(chess)" title="Transposition (chess)">Transposition</a></li> <li><a href="/wiki/List_of_chess_traps" title="List of chess traps">Trap</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_tactic" title="Chess tactic">Tactics</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Castling#Artificial_castling" title="Castling">Artificial castling</a></li> <li><a href="/wiki/Battery_(chess)" title="Battery (chess)">Battery</a> <ul><li><a href="/wiki/Alekhine%27s_gun" title="Alekhine's gun">Alekhine's gun</a></li></ul></li> <li><a href="/wiki/Block_(chess)" title="Block (chess)">Block</a></li> <li><a href="/wiki/Checkmate_pattern" title="Checkmate pattern">Checkmate patterns</a></li> <li><a href="/wiki/Combination_(chess)" title="Combination (chess)">Combination</a></li> <li><a href="/wiki/Decoy_(chess)" title="Decoy (chess)">Decoy</a></li> <li><a href="/wiki/Deflection_(chess)" title="Deflection (chess)">Deflection</a></li> <li><a href="/wiki/Desperado_(chess)" title="Desperado (chess)">Desperado</a></li> <li><a href="/wiki/Discovered_attack" title="Discovered attack">Discovered attack</a></li> <li><a href="/wiki/Double_check" title="Double check">Double check</a></li> <li><a href="/wiki/Fork_(chess)" title="Fork (chess)">Fork</a></li> <li><a href="/wiki/Interference_(chess)" title="Interference (chess)">Interference</a></li> <li><a href="/wiki/Overloading_(chess)" title="Overloading (chess)">Overloading</a></li> <li><a href="/wiki/Pawn_storm" title="Pawn storm">Pawn storm</a></li> <li><a href="/wiki/Pin_(chess)" title="Pin (chess)">Pin</a></li> <li><a href="/wiki/Sacrifice_(chess)" title="Sacrifice (chess)">Sacrifice</a> <ul><li><a href="/wiki/Queen_sacrifice" title="Queen sacrifice">Queen sacrifice</a></li></ul></li> <li><a href="/wiki/Skewer_(chess)" title="Skewer (chess)">Skewer</a></li> <li><a href="/wiki/Undermining_(chess)" title="Undermining (chess)">Undermining</a></li> <li><a href="/wiki/Windmill_(chess)" title="Windmill (chess)">Windmill</a></li> <li><a href="/wiki/X-ray_(chess)" title="X-ray (chess)">X-ray</a></li> <li><a href="/wiki/Zwischenzug" title="Zwischenzug">Zwischenzug</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_strategy" title="Chess strategy">Strategy</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Compensation_(chess)" title="Compensation (chess)">Compensation</a></li> <li><a href="/wiki/Exchange_(chess)" title="Exchange (chess)">Exchange</a> <ul><li><a href="/wiki/The_exchange_(chess)" title="The exchange (chess)">the exchange</a></li></ul></li> <li><a href="/wiki/Initiative_(chess)" title="Initiative (chess)">Initiative</a> <ul><li><a href="/wiki/First-move_advantage_in_chess" title="First-move advantage in chess">first-move advantage</a></li></ul></li> <li><a href="/wiki/Chess_middlegame" title="Chess middlegame">Middlegame</a></li> <li><a href="/wiki/Pawn_structure" title="Pawn structure">Pawn structure</a> <ul><li><a href="/wiki/Hedgehog_(chess)" title="Hedgehog (chess)">Hedgehog</a></li> <li><a href="/wiki/Isolated_pawn" title="Isolated pawn">Isolated Queen's Pawn</a></li> <li><a href="/wiki/Mar%C3%B3czy_Bind" title="Maróczy Bind">Maróczy Bind</a></li> <li><a href="/wiki/Minority_attack" title="Minority attack">Minority attack</a></li></ul></li> <li><a href="/wiki/Chess_piece_relative_value" title="Chess piece relative value">Piece values</a></li> <li><a href="/wiki/Prophylaxis_(chess)" title="Prophylaxis (chess)">Prophylaxis</a></li> <li><a href="/wiki/School_of_chess" title="School of chess">School of chess</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_opening" title="Chess opening">Openings</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Flank_opening" title="Flank opening">Flank opening</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/King%27s_Fianchetto_Opening" title="King's Fianchetto Opening">Benko Opening</a></li> <li><a href="/wiki/Bird%27s_Opening" title="Bird's Opening">Bird's Opening</a></li> <li><a href="/wiki/Dunst_Opening" title="Dunst Opening">Dunst Opening</a></li> <li><a href="/wiki/English_Opening" title="English Opening">English Opening</a></li> <li><a href="/wiki/Grob%27s_Attack" title="Grob's Attack">Grob's Attack</a></li> <li><a href="/wiki/Larsen%27s_Opening" class="mw-redirect" title="Larsen's Opening">Larsen's Opening</a></li> <li><a href="/wiki/Zukertort_Opening" title="Zukertort Opening">Zukertort Opening</a> <ul><li><a href="/wiki/King%27s_Indian_Attack" title="King's Indian Attack">King's Indian Attack</a></li> <li><a href="/wiki/R%C3%A9ti_Opening" title="Réti Opening">Réti Opening</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/King%27s_Pawn_Game" title="King's Pawn Game">King's Pawn Game</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Alekhine%27s_Defence" title="Alekhine's Defence">Alekhine's Defence</a></li> <li><a href="/wiki/Caro%E2%80%93Kann_Defence" title="Caro–Kann Defence">Caro–Kann Defence</a></li> <li><a href="/wiki/French_Defence" title="French Defence">French Defence</a></li> <li><a href="/wiki/Modern_Defense" title="Modern Defense">Modern Defence</a></li> <li><a href="/wiki/Nimzowitsch_Defence" title="Nimzowitsch Defence">Nimzowitsch Defence</a></li> <li><a href="/wiki/Open_Game" title="Open Game">Open Game</a> <ul><li><a href="/wiki/Four_Knights_Game" title="Four Knights Game">Four Knights Game</a></li> <li><a href="/wiki/Giuoco_Piano" title="Giuoco Piano">Giuoco Piano</a></li> <li><a href="/wiki/Italian_Game" title="Italian Game">Italian Game</a></li> <li><a href="/wiki/King%27s_Gambit" title="King's Gambit">King's Gambit</a></li> <li><a href="/wiki/Petrov%27s_Defence" title="Petrov's Defence">Petrov's Defence</a></li> <li><a href="/wiki/Philidor_Defence" title="Philidor Defence">Philidor Defence</a></li> <li><a href="/wiki/Ponziani_Opening" title="Ponziani Opening">Ponziani Opening</a></li> <li><a href="/wiki/Ruy_Lopez" title="Ruy Lopez">Ruy Lopez</a></li> <li><a href="/wiki/Semi-Italian_Opening" title="Semi-Italian Opening">Semi-Italian Opening</a></li> <li><a href="/wiki/Scotch_Game" title="Scotch Game">Scotch Game</a></li> <li><a href="/wiki/Two_Knights_Defense" title="Two Knights Defense">Two Knights Defense</a></li> <li><a href="/wiki/Vienna_Game" title="Vienna Game">Vienna Game</a></li></ul></li> <li><a href="/wiki/Owen%27s_Defence" title="Owen's Defence">Owen's Defence</a></li> <li><a href="/wiki/Pirc_Defence" title="Pirc Defence">Pirc Defence</a> <ul><li><a href="/wiki/Pirc_Defence,_Austrian_Attack" title="Pirc Defence, Austrian Attack">Austrian Attack</a></li></ul></li> <li><a href="/wiki/Scandinavian_Defense" title="Scandinavian Defense">Scandinavian Defense</a></li> <li><a href="/wiki/Sicilian_Defence" title="Sicilian Defence">Sicilian Defence</a> <ul><li><a href="/wiki/Sicilian_Defence,_Alapin_Variation" title="Sicilian Defence, Alapin Variation">Alapin</a></li> <li><a href="/wiki/Sicilian_Defence,_Dragon_Variation" title="Sicilian Defence, Dragon Variation">Dragon</a>/<a href="/wiki/Sicilian_Defence,_Accelerated_Dragon" title="Sicilian Defence, Accelerated Dragon">Accelerated Dragon</a></li> <li><a href="/wiki/Sicilian_Defence,_Najdorf_Variation" title="Sicilian Defence, Najdorf Variation">Najdorf</a></li> <li><a href="/wiki/Sicilian_Defence,_Scheveningen_Variation" title="Sicilian Defence, Scheveningen Variation">Scheveningen</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Queen%27s_Pawn_Game" title="Queen's Pawn Game">Queen's Pawn Game</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Budapest_Gambit" title="Budapest Gambit">Budapest Gambit</a></li> <li><a href="/wiki/Colle_System" title="Colle System">Colle System</a></li> <li><a href="/wiki/Dutch_Defence" title="Dutch Defence">Dutch Defence</a></li> <li><a href="/wiki/English_Defence" title="English Defence">English Defence</a></li> <li><a href="/wiki/Indian_Defence" title="Indian Defence">Indian Defence</a> <ul><li><a href="/wiki/Benoni_Defense" title="Benoni Defense">Benoni Defence</a></li> <li><a href="/wiki/Modern_Benoni" title="Modern Benoni">Modern Benoni</a></li> <li><a href="/wiki/Bogo-Indian_Defence" title="Bogo-Indian Defence">Bogo-Indian Defence</a></li> <li><a href="/wiki/Catalan_Opening" title="Catalan Opening">Catalan Opening</a></li> <li><a href="/wiki/Gr%C3%BCnfeld_Defence" title="Grünfeld Defence">Grünfeld Defence</a></li> <li><a href="/wiki/King%27s_Indian_Defence" title="King's Indian Defence">King's Indian Defence</a></li> <li><a href="/wiki/Nimzo-Indian_Defence" title="Nimzo-Indian Defence">Nimzo-Indian Defence</a></li> <li><a href="/wiki/Old_Indian_Defense" title="Old Indian Defense">Old Indian Defense</a></li> <li><a href="/wiki/Queen%27s_Indian_Defense" title="Queen's Indian Defense">Queen's Indian Defence</a></li></ul></li> <li><a href="/wiki/London_System" title="London System">London System</a></li> <li><a href="/wiki/Richter%E2%80%93Veresov_Attack" title="Richter–Veresov Attack">Richter–Veresov Attack</a></li> <li><a href="/wiki/Queen%27s_Gambit" title="Queen's Gambit">Queen's Gambit</a> <ul><li><a href="/wiki/Queen%27s_Gambit_Accepted" title="Queen's Gambit Accepted">Accepted</a></li> <li><a href="/wiki/Queen%27s_Gambit_Declined" title="Queen's Gambit Declined">Declined</a></li> <li><a href="/wiki/Slav_Defense" title="Slav Defense">Slav Defence</a></li> <li><a href="/wiki/Semi-Slav_Defense" title="Semi-Slav Defense">Semi-Slav Defence</a></li> <li><a href="/wiki/Chigorin_Defense" title="Chigorin Defense">Chigorin Defense</a></li></ul></li> <li><a href="/wiki/Torre_Attack" title="Torre Attack">Torre Attack</a></li> <li><a href="/wiki/Trompowsky_Attack" title="Trompowsky Attack">Trompowsky Attack</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_chess_openings" title="List of chess openings">List of openings</a> <ul><li><a href="/wiki/Chess_opening_theory_table" title="Chess opening theory table">theory table</a></li></ul></li> <li><a href="/wiki/List_of_chess_gambits" title="List of chess gambits">List of chess gambits</a></li> <li><a href="/wiki/Irregular_chess_opening" title="Irregular chess opening">Irregular</a> <ul><li><a href="/wiki/Bongcloud_Attack" title="Bongcloud Attack">Bongcloud Attack</a></li> <li><a href="/wiki/Fool%27s_mate" title="Fool's mate">Fool's mate</a></li> <li><a href="/wiki/Scholar%27s_mate" title="Scholar's mate">Scholar's mate</a></li></ul></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_endgame" title="Chess endgame">Endgames</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bishop_and_knight_checkmate" title="Bishop and knight checkmate">Bishop and knight checkmate</a></li> <li><a href="/wiki/King_and_pawn_versus_king_endgame" title="King and pawn versus king endgame">King and pawn vs. king</a></li> <li><a href="/wiki/Opposite-colored_bishops_endgame" title="Opposite-colored bishops endgame">Opposite-coloured bishops</a></li> <li><a href="/wiki/Pawnless_chess_endgame" title="Pawnless chess endgame">Pawnless endgame</a></li> <li><a href="/wiki/Queen_and_pawn_versus_queen_endgame" title="Queen and pawn versus queen endgame">Queen and pawn vs. queen</a></li> <li><a href="/wiki/Queen_versus_pawn_endgame" title="Queen versus pawn endgame">Queen vs. pawn</a></li> <li><a href="/wiki/Queen_versus_rook_endgame" title="Queen versus rook endgame">Queen vs. rook</a></li> <li><a href="/wiki/Rook_and_bishop_versus_rook_endgame" title="Rook and bishop versus rook endgame">Rook and bishop vs. rook</a></li> <li><a href="/wiki/Rook_and_pawn_versus_rook_endgame" title="Rook and pawn versus rook endgame">Rook and pawn vs. rook</a> <ul><li><a href="/wiki/Lucena_position" title="Lucena position">Lucena position</a></li> <li><a href="/wiki/Philidor_position" title="Philidor position">Philidor position</a></li></ul></li> <li>Strategy <ul><li><a href="/wiki/Fortress_(chess)" title="Fortress (chess)">fortress</a></li> <li><a href="/wiki/Opposition_(chess)" title="Opposition (chess)">opposition</a></li> <li><a href="/wiki/Tarrasch_rule" title="Tarrasch rule">Tarrasch rule</a></li> <li><a href="/wiki/Triangulation_(chess)" title="Triangulation (chess)">triangulation</a></li> <li><a href="/wiki/Zugzwang" title="Zugzwang">Zugzwang</a></li></ul></li> <li><a href="/wiki/Endgame_study" title="Endgame study">Study</a></li> <li><a href="/wiki/Endgame_tablebase" title="Endgame tablebase">Tablebase</a></li> <li><a href="/wiki/Two_knights_endgame" title="Two knights endgame">Two knights endgame</a></li> <li><a href="/wiki/Wrong_bishop" title="Wrong bishop">Wrong bishop</a></li> <li><a href="/wiki/Wrong_rook_pawn" title="Wrong rook pawn">Wrong rook pawn</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_tournament" title="Chess tournament">Tournaments</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_strong_chess_tournaments" title="List of strong chess tournaments">List of strong chess tournaments</a></li> <li><a href="/wiki/Chess_Olympiad" title="Chess Olympiad">Chess Olympiad</a> <ul><li><a href="/wiki/Women%27s_Chess_Olympiad" title="Women's Chess Olympiad">Women</a></li></ul></li> <li><a href="/wiki/World_Chess_Championship" title="World Chess Championship">World Chess Championship</a> <ul><li><a href="/wiki/List_of_World_Chess_Championships" title="List of World Chess Championships">List</a></li> <li><a href="/wiki/Candidates_Tournament" title="Candidates Tournament">Candidates Tournament</a></li> <li><a href="/wiki/Chess_World_Cup" title="Chess World Cup">Chess World Cup</a></li> <li><a href="/wiki/FIDE_Grand_Prix" title="FIDE Grand Prix">FIDE Grand Prix</a></li></ul></li> <li>Other world championships <ul><li><a href="/wiki/Women%27s_World_Chess_Championship" title="Women's World Chess Championship">Women</a></li> <li><a href="/wiki/World_Team_Chess_Championship" title="World Team Chess Championship">Team</a></li> <li><a href="/wiki/World_Rapid_Chess_Championship" title="World Rapid Chess Championship">Rapid</a></li> <li><a href="/wiki/World_Blitz_Chess_Championship" title="World Blitz Chess Championship">Blitz</a></li> <li><a href="/wiki/World_Junior_Chess_Championship" title="World Junior Chess Championship">Junior</a></li> <li><a href="/wiki/World_Youth_Chess_Championship" title="World Youth Chess Championship">Youth</a></li> <li><a href="/wiki/World_Senior_Chess_Championship" title="World Senior Chess Championship">Senior</a></li> <li><a href="/wiki/World_Amateur_Chess_Championship" title="World Amateur Chess Championship">Amateur</a></li> <li><a href="/wiki/World_Championship_of_Chess_Composition" title="World Championship of Chess Composition">Chess composition</a></li> <li><a href="/wiki/World_Chess_Solving_Championship" title="World Chess Solving Championship">Solving</a></li></ul></li> <li>Computer chess championships <ul><li><a href="/wiki/Chess.com_Computer_Chess_Championship" class="mw-redirect" title="Chess.com Computer Chess Championship">CCC</a></li> <li><a href="/wiki/Dutch_Open_Computer_Chess_Championship" title="Dutch Open Computer Chess Championship">CSVN</a></li> <li><a href="/wiki/North_American_Computer_Chess_Championship" title="North American Computer Chess Championship">North American</a></li> <li><a href="/wiki/Top_Chess_Engine_Championship" title="Top Chess Engine Championship">TCEC</a></li> <li><a href="/wiki/World_Computer_Chess_Championship" title="World Computer Chess Championship">WCCC</a></li> <li><a href="/wiki/World_Computer_Speed_Chess_Championship" title="World Computer Speed Chess Championship">WCSCC</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Art and media</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ca%C3%AFssa" title="Caïssa">Caïssa</a></li> <li><a href="/wiki/Chess_aesthetics" title="Chess aesthetics">Chess aesthetics</a></li> <li><a href="/wiki/Chess_in_the_arts" title="Chess in the arts">Chess in the arts</a> <ul><li><a href="/wiki/Chess_in_early_literature" title="Chess in early literature">early literature</a></li> <li><a href="/wiki/Category:Films_about_chess" title="Category:Films about chess">film</a></li> <li><a href="/wiki/Category:Novels_about_chess" title="Category:Novels about chess">novels</a></li> <li><a href="/wiki/Category:Chess_paintings" title="Category:Chess paintings">paintings</a></li> <li><a href="/wiki/Category:Poems_about_chess" title="Category:Poems about chess">poetry</a></li> <li><a href="/wiki/Category:Short_stories_about_chess" title="Category:Short stories about chess">short stories</a></li></ul></li> <li><a href="/wiki/List_of_chess_books" title="List of chess books">Chess books</a> <ul><li><a href="/wiki/Chess_opening_book" title="Chess opening book">opening books</a></li> <li><a href="/wiki/Chess_endgame_literature" title="Chess endgame literature">endgame literature</a></li> <li><a href="/wiki/The_Oxford_Companion_to_Chess" title="The Oxford Companion to Chess"><i>Oxford Companion</i></a></li></ul></li> <li><a href="/wiki/Chess_libraries" title="Chess libraries">Chess libraries</a></li> <li><a href="/wiki/Chess_columns_in_newspapers" title="Chess columns in newspapers">Chess newspaper columns</a></li> <li><a href="/wiki/List_of_chess_periodicals" title="List of chess periodicals">Chess periodicals</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Arbiter_(chess)" title="Arbiter (chess)">Arbiter</a></li> <li><a href="/wiki/Chess_boxing" title="Chess boxing">Chess boxing</a></li> <li><a href="/wiki/Chess_club" title="Chess club">Chess club</a></li> <li><a href="/wiki/Chess_composer" title="Chess composer">Chess composer</a></li> <li><a href="/wiki/Chess_engine" title="Chess engine">Chess engine</a> <ul><li><a class="mw-selflink selflink">AlphaZero</a></li> <li><a href="/wiki/Deep_Blue_(chess_computer)" title="Deep Blue (chess computer)">Deep Blue</a></li> <li><a href="/wiki/Leela_Chess_Zero" title="Leela Chess Zero">Leela Chess Zero</a></li> <li><a href="/wiki/Stockfish_(chess)" title="Stockfish (chess)">Stockfish</a></li></ul></li> <li><a href="/wiki/Chess_problem" title="Chess problem">Chess problem</a> <ul><li><a href="/wiki/Glossary_of_chess_problems" title="Glossary of chess problems">glossary</a></li> <li><a href="/wiki/Joke_chess_problem" title="Joke chess problem">joke chess</a></li></ul></li> <li><a href="/wiki/Chess_prodigy" title="Chess prodigy">Chess prodigy</a></li> <li><a href="/wiki/Elo_rating_system" title="Elo rating system">Elo rating system</a></li> <li><a href="/wiki/Simultaneous_exhibition" title="Simultaneous exhibition">Simultaneous exhibition</a></li> <li><a href="/wiki/Tie-breaking_in_Swiss-system_tournaments" title="Tie-breaking in Swiss-system tournaments">Tie-breaking in Swiss-system tournaments</a></li> <li><a href="/wiki/Solving_chess" title="Solving chess">Solving chess</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Chess.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Chess.svg/28px-Chess.svg.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Chess.svg/42px-Chess.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/Chess.svg/56px-Chess.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span> </span><a href="/wiki/Portal:Chess" title="Portal:Chess">Chess portal</a></li> <li><a href="/wiki/Category:Chess" title="Category:Chess">Category</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /></div><div role="navigation" class="navbox" aria-labelledby="Google_AI352" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Google_AI" title="Template:Google AI"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Google_AI" title="Template talk:Google AI"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Google_AI" title="Special:EditPage/Template:Google AI"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Google_AI352" style="font-size:114%;margin:0 4em"><a href="/wiki/Google_AI" title="Google AI">Google AI</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/Google" title="Google">Google</a></li> <li><a href="/wiki/Google_Brain" title="Google Brain">Google Brain</a></li> <li><a href="/wiki/Google_DeepMind" title="Google DeepMind">Google DeepMind</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Computer programs</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">AlphaGo</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Versions</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/AlphaGo" title="AlphaGo">AlphaGo</a> (2015)</li> <li><a href="/wiki/Master_(software)" title="Master (software)">Master</a> (2016)</li> <li><a href="/wiki/AlphaGo_Zero" title="AlphaGo Zero">AlphaGo Zero</a> (2017)</li> <li><a class="mw-selflink selflink">AlphaZero</a> (2017)</li> <li><a href="/wiki/MuZero" title="MuZero">MuZero</a> (2019)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Competitions</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/AlphaGo_versus_Fan_Hui" title="AlphaGo versus Fan Hui">Fan Hui</a> (2015)</li> <li><a href="/wiki/AlphaGo_versus_Lee_Sedol" title="AlphaGo versus Lee Sedol">Lee Sedol</a> (2016)</li> <li><a href="/wiki/AlphaGo_versus_Ke_Jie" title="AlphaGo versus Ke Jie">Ke Jie</a> (2017)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">In popular culture</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/AlphaGo_(film)" title="AlphaGo (film)">AlphaGo</a></i> (2017)</li> <li><i><a href="/wiki/The_MANIAC" title="The MANIAC">The MANIAC</a></i> (2023)</li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/AlphaFold" title="AlphaFold">AlphaFold</a> (2018)</li> <li><a href="/wiki/AlphaStar_(software)" title="AlphaStar (software)">AlphaStar</a> (2019)</li> <li><a href="/wiki/AlphaDev" title="AlphaDev">AlphaDev</a> (2023)</li> <li><a href="/wiki/AlphaGeometry" title="AlphaGeometry">AlphaGeometry</a> (2024)</li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Machine learning</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Neural networks</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Inception_(deep_learning_architecture)" title="Inception (deep learning architecture)">Inception</a> (2014)</li> <li><a href="/wiki/WaveNet" title="WaveNet">WaveNet</a> (2016)</li> <li><a href="/wiki/MobileNet" title="MobileNet">MobileNet</a> (2017)</li> <li><a href="/wiki/Transformer_(deep_learning_architecture)" title="Transformer (deep learning architecture)">Transformer</a> (2017)</li> <li><a href="/wiki/EfficientNet" title="EfficientNet">EfficientNet</a> (2019)</li> <li><a href="/wiki/Gato_(DeepMind)" title="Gato (DeepMind)">Gato</a> (2022)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Quantum_Artificial_Intelligence_Lab" title="Quantum Artificial Intelligence Lab">Quantum Artificial Intelligence Lab</a></li> <li><a href="/wiki/TensorFlow" title="TensorFlow">TensorFlow</a></li> <li><a href="/wiki/Tensor_Processing_Unit" title="Tensor Processing Unit">Tensor Processing Unit</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Generative AI</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Chatbots</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Google_Assistant" title="Google Assistant">Assistant</a> (2016)</li> <li><a href="/wiki/Sparrow_(chatbot)" title="Sparrow (chatbot)">Sparrow</a> (2022)</li> <li><a href="/wiki/Gemini_(chatbot)" title="Gemini (chatbot)">Gemini</a> (2023)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Language models</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/BERT_(language_model)" title="BERT (language model)">BERT</a> (2018)</li> <li><a href="/wiki/XLNet" title="XLNet">XLNet</a> (2019)</li> <li><a href="/wiki/T5_(language_model)" title="T5 (language model)">T5</a> (2019)</li> <li><a href="/wiki/LaMDA" title="LaMDA">LaMDA</a> (2021)</li> <li><a href="/wiki/Chinchilla_(language_model)" title="Chinchilla (language model)">Chinchilla</a> (2022)</li> <li><a href="/wiki/PaLM" title="PaLM">PaLM</a> (2022)</li> <li><a href="/wiki/Gemini_(language_model)" title="Gemini (language model)">Gemini</a> (2023)</li> <li><a href="/wiki/VideoPoet" title="VideoPoet">VideoPoet</a> (2024)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/DreamBooth" title="DreamBooth">DreamBooth</a> (2022)</li> <li><a href="/wiki/NotebookLM" title="NotebookLM">NotebookLM</a> (2023)</li> <li><a href="/wiki/Google_Vids" title="Google Vids">Vids</a> (2024)</li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">See also</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>"<a href="/wiki/Attention_Is_All_You_Need" title="Attention Is All You Need">Attention Is All You Need</a>"</li> <li><a href="/wiki/Future_of_Go_Summit" title="Future of Go Summit">Future of Go Summit</a></li> <li><a href="/wiki/Generative_pre-trained_transformer" title="Generative pre-trained transformer">Generative pre-trained transformer</a></li> <li><a href="/wiki/Google_Labs" title="Google Labs">Google Labs</a></li> <li><a href="/wiki/Google_Pixel" title="Google Pixel">Google Pixel</a></li> <li><a href="/wiki/Google_Workspace" title="Google Workspace">Google Workspace</a></li> <li><a href="/wiki/Robot_Constitution" title="Robot Constitution">Robot Constitution</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Google_DeepMind" title="Category:Google DeepMind">Category</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/20px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> <a href="https://commons.wikimedia.org/wiki/Category:DeepMind" class="extiw" title="commons:Category:DeepMind">Commons</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /></div><div role="navigation" class="navbox" aria-labelledby="Artificial_intelligence_(AI)752" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Artificial_intelligence_navbox" title="Template:Artificial intelligence navbox"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Artificial_intelligence_navbox" title="Template talk:Artificial intelligence navbox"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Artificial_intelligence_navbox" title="Special:EditPage/Template:Artificial intelligence navbox"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Artificial_intelligence_(AI)752" style="font-size:114%;margin:0 4em"><a href="/wiki/Artificial_intelligence" title="Artificial intelligence">Artificial intelligence</a> (AI)</div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div><a href="/wiki/History_of_artificial_intelligence" title="History of artificial intelligence">History</a> (<a href="/wiki/Timeline_of_artificial_intelligence" title="Timeline of artificial intelligence">timeline</a>)</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Parameter" title="Parameter">Parameter</a> <ul><li><a href="/wiki/Hyperparameter_(machine_learning)" title="Hyperparameter (machine learning)">Hyperparameter</a></li></ul></li> <li><a href="/wiki/Loss_functions_for_classification" title="Loss functions for classification">Loss functions</a></li> <li><a href="/wiki/Regression_analysis" title="Regression analysis">Regression</a> <ul><li><a href="/wiki/Bias%E2%80%93variance_tradeoff" title="Bias–variance tradeoff">Bias–variance tradeoff</a></li> <li><a href="/wiki/Double_descent" title="Double descent">Double descent</a></li> <li><a href="/wiki/Overfitting" title="Overfitting">Overfitting</a></li></ul></li> <li><a href="/wiki/Cluster_analysis" title="Cluster analysis">Clustering</a></li> <li><a href="/wiki/Gradient_descent" title="Gradient descent">Gradient descent</a> <ul><li><a href="/wiki/Stochastic_gradient_descent" title="Stochastic gradient descent">SGD</a></li> <li><a href="/wiki/Quasi-Newton_method" title="Quasi-Newton method">Quasi-Newton method</a></li> <li><a href="/wiki/Conjugate_gradient_method" title="Conjugate gradient method">Conjugate gradient method</a></li></ul></li> <li><a href="/wiki/Backpropagation" title="Backpropagation">Backpropagation</a></li> <li><a href="/wiki/Attention_(machine_learning)" title="Attention (machine learning)">Attention</a></li> <li><a href="/wiki/Convolution" title="Convolution">Convolution</a></li> <li><a href="/wiki/Normalization_(machine_learning)" title="Normalization (machine learning)">Normalization</a> <ul><li><a href="/wiki/Batch_normalization" title="Batch normalization">Batchnorm</a></li></ul></li> <li><a href="/wiki/Activation_function" title="Activation function">Activation</a> <ul><li><a href="/wiki/Softmax_function" title="Softmax function">Softmax</a></li> <li><a href="/wiki/Sigmoid_function" title="Sigmoid function">Sigmoid</a></li> <li><a href="/wiki/Rectifier_(neural_networks)" title="Rectifier (neural networks)">Rectifier</a></li></ul></li> <li><a href="/wiki/Gating_mechanism" title="Gating mechanism">Gating</a></li> <li><a href="/wiki/Weight_initialization" title="Weight initialization">Weight initialization</a></li> <li><a href="/wiki/Regularization_(mathematics)" title="Regularization (mathematics)">Regularization</a></li> <li><a href="/wiki/Training,_validation,_and_test_data_sets" title="Training, validation, and test data sets">Datasets</a> <ul><li><a href="/wiki/Data_augmentation" title="Data augmentation">Augmentation</a></li></ul></li> <li><a href="/wiki/Prompt_engineering" title="Prompt engineering">Prompt engineering</a></li> <li><a href="/wiki/Reinforcement_learning" title="Reinforcement learning">Reinforcement learning</a> <ul><li><a href="/wiki/Q-learning" title="Q-learning">Q-learning</a></li> <li><a href="/wiki/State%E2%80%93action%E2%80%93reward%E2%80%93state%E2%80%93action" title="State–action–reward–state–action">SARSA</a></li> <li><a href="/wiki/Imitation_learning" title="Imitation learning">Imitation</a></li> <li><a href="/wiki/Policy_gradient_method" title="Policy gradient method">Policy gradient</a></li></ul></li> <li><a href="/wiki/Diffusion_process" title="Diffusion process">Diffusion</a></li> <li><a href="/wiki/Latent_diffusion_model" title="Latent diffusion model">Latent diffusion model</a></li> <li><a href="/wiki/Autoregressive_model" title="Autoregressive model">Autoregression</a></li> <li><a href="/wiki/Adversarial_machine_learning" title="Adversarial machine learning">Adversary</a></li> <li><a href="/wiki/Retrieval-augmented_generation" title="Retrieval-augmented generation">RAG</a></li> <li><a href="/wiki/Uncanny_valley" title="Uncanny valley">Uncanny valley</a></li> <li><a href="/wiki/Reinforcement_learning_from_human_feedback" title="Reinforcement learning from human feedback">RLHF</a></li> <li><a href="/wiki/Self-supervised_learning" title="Self-supervised learning">Self-supervised learning</a></li> <li><a href="/wiki/Recursive_self-improvement" title="Recursive self-improvement">Recursive self-improvement</a></li> <li><a href="/wiki/Word_embedding" title="Word embedding">Word embedding</a></li> <li><a href="/wiki/Hallucination_(artificial_intelligence)" title="Hallucination (artificial intelligence)">Hallucination</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Applications</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Machine_learning" title="Machine learning">Machine learning</a> <ul><li><a href="/wiki/Prompt_engineering#In-context_learning" title="Prompt engineering">In-context learning</a></li></ul></li> <li><a href="/wiki/Neural_network_(machine_learning)" title="Neural network (machine learning)">Artificial neural network</a> <ul><li><a href="/wiki/Deep_learning" title="Deep learning">Deep learning</a></li></ul></li> <li><a href="/wiki/Language_model" title="Language model">Language model</a> <ul><li><a href="/wiki/Large_language_model" title="Large language model">Large language model</a></li> <li><a href="/wiki/Neural_machine_translation" title="Neural machine translation">NMT</a></li></ul></li> <li><a href="/wiki/Artificial_general_intelligence" title="Artificial general intelligence">Artificial general intelligence</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Implementations</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Audio–visual</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/AlexNet" title="AlexNet">AlexNet</a></li> <li><a href="/wiki/WaveNet" title="WaveNet">WaveNet</a></li> <li><a href="/wiki/Human_image_synthesis" title="Human image synthesis">Human image synthesis</a></li> <li><a href="/wiki/Handwriting_recognition" title="Handwriting recognition">HWR</a></li> <li><a href="/wiki/Optical_character_recognition" title="Optical character recognition">OCR</a></li> <li><a href="/wiki/Deep_learning_speech_synthesis" title="Deep learning speech synthesis">Speech synthesis</a> <ul><li><a href="/wiki/15.ai" title="15.ai">15.ai</a></li> <li><a href="/wiki/ElevenLabs" title="ElevenLabs">ElevenLabs</a></li></ul></li> <li><a href="/wiki/Speech_recognition" title="Speech recognition">Speech recognition</a> <ul><li><a href="/wiki/Whisper_(speech_recognition_system)" title="Whisper (speech recognition system)">Whisper</a></li></ul></li> <li><a href="/wiki/Facial_recognition_system" title="Facial recognition system">Facial recognition</a></li> <li><a href="/wiki/AlphaFold" title="AlphaFold">AlphaFold</a></li> <li><a href="/wiki/Text-to-image_model" title="Text-to-image model">Text-to-image models</a> <ul><li><a href="/wiki/Aurora_(text-to-image_model)" class="mw-redirect" title="Aurora (text-to-image model)">Aurora</a></li> <li><a href="/wiki/DALL-E" title="DALL-E">DALL-E</a></li> <li><a href="/wiki/Adobe_Firefly" title="Adobe Firefly">Firefly</a></li> <li><a href="/wiki/Flux_(text-to-image_model)" title="Flux (text-to-image model)">Flux</a></li> <li><a href="/wiki/Ideogram_(text-to-image_model)" title="Ideogram (text-to-image model)">Ideogram</a></li> <li><a href="/wiki/Imagen_(text-to-image_model)" title="Imagen (text-to-image model)">Imagen</a></li> <li><a href="/wiki/Midjourney" title="Midjourney">Midjourney</a></li> <li><a href="/wiki/Stable_Diffusion" title="Stable Diffusion">Stable Diffusion</a></li></ul></li> <li><a href="/wiki/Text-to-video_model" title="Text-to-video model">Text-to-video models</a> <ul><li><a href="/wiki/Dream_Machine_(text-to-video_model)" title="Dream Machine (text-to-video model)">Dream Machine</a></li> <li><a href="/wiki/Runway_(company)#Gen-3_Alpha" title="Runway (company)">Gen-3 Alpha</a></li> <li><a href="/wiki/MiniMax_(company)#Hailuo_AI" title="MiniMax (company)">Hailuo AI</a></li> <li><a href="/wiki/Kling_(text-to-video_model)" class="mw-redirect" title="Kling (text-to-video model)">Kling</a></li> <li><a href="/wiki/Sora_(text-to-video_model)" title="Sora (text-to-video model)">Sora</a></li> <li><a href="/wiki/Google_DeepMind#Video_model" title="Google DeepMind">Veo</a></li></ul></li> <li><a href="/wiki/Music_and_artificial_intelligence" title="Music and artificial intelligence">Music generation</a> <ul><li><a href="/wiki/Suno_AI" title="Suno AI">Suno AI</a></li> <li><a href="/wiki/Udio" title="Udio">Udio</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Text</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Word2vec" title="Word2vec">Word2vec</a></li> <li><a href="/wiki/Seq2seq" title="Seq2seq">Seq2seq</a></li> <li><a href="/wiki/GloVe" title="GloVe">GloVe</a></li> <li><a href="/wiki/BERT_(language_model)" title="BERT (language model)">BERT</a></li> <li><a href="/wiki/T5_(language_model)" title="T5 (language model)">T5</a></li> <li><a href="/wiki/Llama_(language_model)" title="Llama (language model)">Llama</a></li> <li><a href="/wiki/Chinchilla_(language_model)" title="Chinchilla (language model)">Chinchilla AI</a></li> <li><a href="/wiki/PaLM" title="PaLM">PaLM</a></li> <li><a href="/wiki/Generative_pre-trained_transformer" title="Generative pre-trained transformer">GPT</a> <ul><li><a href="/wiki/GPT-1" title="GPT-1">1</a></li> <li><a href="/wiki/GPT-2" title="GPT-2">2</a></li> <li><a href="/wiki/GPT-3" title="GPT-3">3</a></li> <li><a href="/wiki/GPT-J" title="GPT-J">J</a></li> <li><a href="/wiki/ChatGPT" title="ChatGPT">ChatGPT</a></li> <li><a href="/wiki/GPT-4" title="GPT-4">4</a></li> <li><a href="/wiki/GPT-4o" title="GPT-4o">4o</a></li> <li><a href="/wiki/GPT-4.5" title="GPT-4.5">4.5</a></li> <li><a href="/wiki/OpenAI_o1" title="OpenAI o1">o1</a></li> <li><a href="/wiki/OpenAI_o3" title="OpenAI o3">o3</a></li></ul></li> <li><a href="/wiki/Claude_(language_model)" title="Claude (language model)">Claude</a></li> <li><a href="/wiki/Gemini_(language_model)" title="Gemini (language model)">Gemini</a> <ul><li><a href="/wiki/Gemini_(chatbot)" title="Gemini (chatbot)">chatbot</a></li></ul></li> <li><a href="/wiki/Grok_(chatbot)" title="Grok (chatbot)">Grok</a></li> <li><a href="/wiki/LaMDA" title="LaMDA">LaMDA</a></li> <li><a href="/wiki/BLOOM_(language_model)" title="BLOOM (language model)">BLOOM</a></li> <li><a href="/wiki/Project_Debater" title="Project Debater">Project Debater</a></li> <li><a href="/wiki/IBM_Watson" title="IBM Watson">IBM Watson</a></li> <li><a href="/wiki/IBM_Watsonx" title="IBM Watsonx">IBM Watsonx</a></li> <li><a href="/wiki/IBM_Granite" title="IBM Granite">Granite</a></li> <li><a href="/wiki/Huawei_PanGu" title="Huawei PanGu">PanGu-Σ</a></li> <li><a href="/wiki/DeepSeek_(chatbot)" title="DeepSeek (chatbot)">DeepSeek</a></li> <li><a href="/wiki/Qwen" title="Qwen">Qwen</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Decisional</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/AlphaGo" title="AlphaGo">AlphaGo</a></li> <li><a class="mw-selflink selflink">AlphaZero</a></li> <li><a href="/wiki/OpenAI_Five" title="OpenAI Five">OpenAI Five</a></li> <li><a href="/wiki/Self-driving_car" title="Self-driving car">Self-driving car</a></li> <li><a href="/wiki/MuZero" title="MuZero">MuZero</a></li> <li><a href="/wiki/Action_selection" title="Action selection">Action selection</a> <ul><li><a href="/wiki/AutoGPT" title="AutoGPT">AutoGPT</a></li></ul></li> <li><a href="/wiki/Robot_control" title="Robot control">Robot control</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Alan_Turing" title="Alan Turing">Alan Turing</a></li> <li><a href="/wiki/Warren_Sturgis_McCulloch" title="Warren Sturgis McCulloch">Warren Sturgis McCulloch</a></li> <li><a href="/wiki/Walter_Pitts" title="Walter Pitts">Walter Pitts</a></li> <li><a href="/wiki/John_von_Neumann" title="John von Neumann">John von Neumann</a></li> <li><a href="/wiki/Claude_Shannon" title="Claude Shannon">Claude Shannon</a></li> <li><a href="/wiki/Marvin_Minsky" title="Marvin Minsky">Marvin Minsky</a></li> <li><a href="/wiki/John_McCarthy_(computer_scientist)" title="John McCarthy (computer scientist)">John McCarthy</a></li> <li><a href="/wiki/Nathaniel_Rochester_(computer_scientist)" title="Nathaniel Rochester (computer scientist)">Nathaniel Rochester</a></li> <li><a href="/wiki/Allen_Newell" title="Allen Newell">Allen Newell</a></li> <li><a href="/wiki/Cliff_Shaw" title="Cliff Shaw">Cliff Shaw</a></li> <li><a href="/wiki/Herbert_A._Simon" title="Herbert A. Simon">Herbert A. Simon</a></li> <li><a href="/wiki/Oliver_Selfridge" title="Oliver Selfridge">Oliver Selfridge</a></li> <li><a href="/wiki/Frank_Rosenblatt" title="Frank Rosenblatt">Frank Rosenblatt</a></li> <li><a href="/wiki/Bernard_Widrow" title="Bernard Widrow">Bernard Widrow</a></li> <li><a href="/wiki/Joseph_Weizenbaum" title="Joseph Weizenbaum">Joseph Weizenbaum</a></li> <li><a href="/wiki/Seymour_Papert" title="Seymour Papert">Seymour Papert</a></li> <li><a href="/wiki/Seppo_Linnainmaa" title="Seppo Linnainmaa">Seppo Linnainmaa</a></li> <li><a href="/wiki/Paul_Werbos" title="Paul Werbos">Paul Werbos</a></li> <li><a href="/wiki/J%C3%BCrgen_Schmidhuber" title="Jürgen Schmidhuber">Jürgen Schmidhuber</a></li> <li><a href="/wiki/Yann_LeCun" title="Yann LeCun">Yann LeCun</a></li> <li><a href="/wiki/Geoffrey_Hinton" title="Geoffrey Hinton">Geoffrey Hinton</a></li> <li><a href="/wiki/John_Hopfield" title="John Hopfield">John Hopfield</a></li> <li><a href="/wiki/Yoshua_Bengio" title="Yoshua Bengio">Yoshua Bengio</a></li> <li><a href="/wiki/Lotfi_A._Zadeh" title="Lotfi A. Zadeh">Lotfi A. Zadeh</a></li> <li><a href="/wiki/Stephen_Grossberg" title="Stephen Grossberg">Stephen Grossberg</a></li> <li><a href="/wiki/Alex_Graves_(computer_scientist)" title="Alex Graves (computer scientist)">Alex Graves</a></li> <li><a href="/wiki/Andrew_Ng" title="Andrew Ng">Andrew Ng</a></li> <li><a href="/wiki/Fei-Fei_Li" title="Fei-Fei Li">Fei-Fei Li</a></li> <li><a href="/wiki/Alex_Krizhevsky" title="Alex Krizhevsky">Alex Krizhevsky</a></li> <li><a href="/wiki/Ilya_Sutskever" title="Ilya Sutskever">Ilya Sutskever</a></li> <li><a href="/wiki/Demis_Hassabis" title="Demis Hassabis">Demis Hassabis</a></li> <li><a href="/wiki/David_Silver_(computer_scientist)" title="David Silver (computer scientist)">David Silver</a></li> <li><a href="/wiki/Ian_Goodfellow" title="Ian Goodfellow">Ian Goodfellow</a></li> <li><a href="/wiki/Andrej_Karpathy" title="Andrej Karpathy">Andrej Karpathy</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Architectures</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Neural_Turing_machine" title="Neural Turing machine">Neural Turing machine</a></li> <li><a href="/wiki/Differentiable_neural_computer" title="Differentiable neural computer">Differentiable neural computer</a></li> <li><a href="/wiki/Transformer_(deep_learning_architecture)" title="Transformer (deep learning architecture)">Transformer</a> <ul><li><a href="/wiki/Vision_transformer" title="Vision transformer">Vision transformer (ViT)</a></li></ul></li> <li><a href="/wiki/Recurrent_neural_network" title="Recurrent neural network">Recurrent neural network (RNN)</a></li> <li><a href="/wiki/Long_short-term_memory" title="Long short-term memory">Long short-term memory (LSTM)</a></li> <li><a href="/wiki/Gated_recurrent_unit" title="Gated recurrent unit">Gated recurrent unit (GRU)</a></li> <li><a href="/wiki/Echo_state_network" title="Echo state network">Echo state network</a></li> <li><a href="/wiki/Multilayer_perceptron" title="Multilayer perceptron">Multilayer perceptron (MLP)</a></li> <li><a href="/wiki/Convolutional_neural_network" title="Convolutional neural network">Convolutional neural network (CNN)</a></li> <li><a href="/wiki/Residual_neural_network" title="Residual neural network">Residual neural network (RNN)</a></li> <li><a href="/wiki/Highway_network" title="Highway network">Highway network</a></li> <li><a href="/wiki/Mamba_(deep_learning_architecture)" title="Mamba (deep learning architecture)">Mamba</a></li> <li><a href="/wiki/Autoencoder" title="Autoencoder">Autoencoder</a></li> <li><a href="/wiki/Variational_autoencoder" title="Variational autoencoder">Variational autoencoder (VAE)</a></li> <li><a href="/wiki/Generative_adversarial_network" title="Generative adversarial network">Generative adversarial network (GAN)</a></li> <li><a href="/wiki/Graph_neural_network" title="Graph neural network">Graph neural network (GNN)</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Symbol_portal_class.svg" class="mw-file-description" title="Portal"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/16px-Symbol_portal_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/23px-Symbol_portal_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/31px-Symbol_portal_class.svg.png 2x" data-file-width="180" data-file-height="185" /></a></span> Portals <ul><li><a href="/wiki/Portal:Technology" title="Portal:Technology">Technology</a></li></ul></li> <li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" 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