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Analisi discriminante lineare - Wikipedia
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class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9B%D1%96%D0%BD%D0%B5%D0%B9%D0%BD%D1%8B_%D0%B4%D1%8B%D1%81%D0%BA%D1%80%D1%8B%D0%BC%D1%96%D0%BD%D0%B0%D0%BD%D1%82%D0%BD%D1%8B_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7" title="Лінейны дыскрымінантны аналіз - bielorusso" lang="be" hreflang="be" data-title="Лінейны дыскрымінантны аналіз" data-language-autonym="Беларуская" data-language-local-name="bielorusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/An%C3%A0lisi_discriminant_lineal" title="Anàlisi discriminant lineal - catalano" lang="ca" hreflang="ca" data-title="Anàlisi discriminant lineal" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Linear_discriminant_analysis" title="Linear discriminant analysis - inglese" lang="en" hreflang="en" data-title="Linear discriminant analysis" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Lineara_diskriminanta_analitiko" title="Lineara diskriminanta analitiko - esperanto" lang="eo" hreflang="eo" data-title="Lineara diskriminanta analitiko" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/An%C3%A1lisis_discriminante_lineal" title="Análisis discriminante lineal - spagnolo" lang="es" hreflang="es" data-title="Análisis discriminante lineal" data-language-autonym="Español" data-language-local-name="spagnolo" 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%86%D8%A7%D9%84%DB%8C%D8%B2_%D8%A7%D9%81%D8%AA%D8%B1%D8%A7%D9%82%DB%8C_%D8%AE%D8%B7%DB%8C" title="آنالیز افتراقی خطی - persiano" lang="fa" hreflang="fa" data-title="آنالیز افتراقی خطی" data-language-autonym="فارسی" data-language-local-name="persiano" 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/Analyse_discriminante_lin%C3%A9aire" title="Analyse discriminante linéaire - francese" lang="fr" hreflang="fr" data-title="Analyse discriminante linéaire" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Linearna_analiza_razli%C4%8Ditih" title="Linearna analiza različitih - croato" lang="hr" hreflang="hr" data-title="Linearna analiza različitih" data-language-autonym="Hrvatski" data-language-local-name="croato" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Line%C3%A1ris_diszkriminanciaanal%C3%ADzis" title="Lineáris diszkriminanciaanalízis - ungherese" lang="hu" hreflang="hu" data-title="Lineáris diszkriminanciaanalízis" data-language-autonym="Magyar" data-language-local-name="ungherese" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Analisis_diskriminan_linear" title="Analisis diskriminan linear - indonesiano" lang="id" hreflang="id" data-title="Analisis diskriminan linear" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%84%A0%ED%98%95_%ED%8C%90%EB%B3%84_%EB%B6%84%EC%84%9D" title="선형 판별 분석 - coreano" lang="ko" hreflang="ko" data-title="선형 판별 분석" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liniowa_analiza_dyskryminacyjna" title="Liniowa analiza dyskryminacyjna - polacco" lang="pl" hreflang="pl" data-title="Liniowa analiza dyskryminacyjna" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D1%8B%D0%B9_%D0%B4%D0%B8%D1%81%D0%BA%D1%80%D0%B8%D0%BC%D0%B8%D0%BD%D0%B0%D0%BD%D1%82%D0%BD%D1%8B%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7" title="Линейный дискриминантный анализ - russo" lang="ru" hreflang="ru" data-title="Линейный дискриминантный анализ" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Fisher%27s_linear_discriminator" title="Fisher's linear discriminator - sundanese" lang="su" hreflang="su" data-title="Fisher's linear discriminator" data-language-autonym="Sunda" data-language-local-name="sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Do%C4%9Frusal_ay%C4%B1rma_analizi" title="Doğrusal ayırma analizi - turco" lang="tr" hreflang="tr" data-title="Doğrusal ayırma analizi" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9B%D1%96%D0%BD%D1%96%D0%B9%D0%BD%D0%B8%D0%B9_%D1%80%D0%BE%D0%B7%D0%B4%D1%96%D0%BB%D1%8E%D0%B2%D0%B0%D0%BB%D1%8C%D0%BD%D0%B8%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7" title="Лінійний розділювальний аналіз - ucraino" lang="uk" hreflang="uk" data-title="Лінійний розділювальний аналіз" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%B7%9A%E6%80%A7%E5%88%A4%E5%88%A5%E5%88%86%E6%9E%90" title="線性判別分析 - cinese" lang="zh" hreflang="zh" data-title="線性判別分析" data-language-autonym="中文" data-language-local-name="cinese" 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data-event-name="pinnable-header.vector-appearance.unpin">nascondi</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Da Wikipedia, l'enciclopedia libera.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="it" dir="ltr"><p>L'<b>analisi discriminante lineare</b> (ADL) o <b>analisi discriminante normale</b> o <b>analisi della funzione discriminante</b> è una generalizzazione della <i>discriminante lineare di Fisher</i>, un metodo usato in <a href="/wiki/Statistica" title="Statistica">statistica</a>, nel <a href="/wiki/Riconoscimento_di_pattern" title="Riconoscimento di pattern">riconoscimento di pattern</a>, nell'<a href="/wiki/Apprendimento_automatico" title="Apprendimento automatico">apprendimento automatico</a> per trovare una <a href="/wiki/Combinazione_lineare" title="Combinazione lineare">combinazione lineare</a> di <a href="/wiki/Caratteristica_(apprendimento_automatico)" title="Caratteristica (apprendimento automatico)">caratteristiche</a> che raggruppano o separano 2 o più classi di oggetti o eventi. La combinazione risultante può essere usata come un <a href="/wiki/Classificatore_lineare" title="Classificatore lineare">classificatore lineare</a>, o più comunemente per una riduzione dimensionale prima di una <a href="/wiki/Classificazione_statistica" title="Classificazione statistica">classificazione statistica</a>. </p><p>L'ADL è strettamente correlata all'<a href="/wiki/Analisi_della_varianza" title="Analisi della varianza">analisi della varianza</a> (ANOVA) e all'<a href="/wiki/Analisi_della_regressione" title="Analisi della regressione">analisi della regressione</a> che anche tentano di esprimere la variabile dipendente come una combinazione lineare di altre caratteristiche o misure<sup id="cite_ref-Fisher:1936_1-0" class="reference"><a href="#cite_note-Fisher:1936-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-McLachlan:2004_2-0" class="reference"><a href="#cite_note-McLachlan:2004-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>. Tuttavia l'ANOVA usa <a href="/wiki/Variabile_(statistica)" title="Variabile (statistica)">variabili</a> indipendenti qualitative per spiegare una variabile dipendente continua, invece l'analisi del discriminante usa variabili indipendenti continue per spiegare una variabile dipendente qualitativa (per esempio: l'etichetta della classe)<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>. La <a href="/wiki/Regressione_logistica" class="mw-redirect" title="Regressione logistica">regressione logistica</a> e il <a href="/wiki/Modello_probit" title="Modello probit">modello probit</a> sono più simili all'ADL di quanto lo sia l'ANOVA in quanto spiegano una variabile qualitativa per mezzo di variabili indipendenti continue. Questi altri metodi sono preferibili in applicazioni dove non è ragionevole assumere che le variabili indipendenti siano normalmente distribuite, che è una ipotesi fondamentale del metodo ADL. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Storia">Storia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisi_discriminante_lineare&veaction=edit&section=1" title="Modifica la sezione Storia" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisi_discriminante_lineare&action=edit&section=1" title="Edit section's source code: Storia"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r139255918">.mw-parser-output .avviso-mini{border:1px solid #aaa;background-color:#fbfbfb;margin-bottom:.5em;padding:0 2px 0 3px;margin:5px 10%;font-size:90%}.mw-parser-output .avviso-mini>div:first-of-type{margin:2px 2px 2px 0}.mw-parser-output .avviso-mini .mw-collapsible-content{padding:2px 0 0 7px}.mw-parser-output .avviso-mini-informazioni{border-left:10px solid #1e90ff}.mw-parser-output .avviso-mini-contenuto{border-left:10px solid #f28500}.mw-parser-output .avviso-mini-stile{border-left:10px solid #f4c430}.mw-parser-output .avviso-mini-statico{border-left:10px solid limegreen}.mw-parser-output .avviso-mini-struttura{border-left:10px solid #9932cc}.mw-parser-output .avviso-mini-generico{border-left:10px solid #bba}body.skin-minerva .mw-parser-output .avviso-mini{border:none;margin-bottom:1px;padding:inherit}body.skin-minerva .mw-parser-output .avviso-mini .mbox-text-div{font-style:normal}html.client-js body.skin-minerva .mw-parser-output .avviso-mini>div{padding:8px 8px 8px 32px!important;position:relative}</style><div class="ambox avviso-mini noprint metadata avviso-mini-informazioni plainlinks"> <div class="mbox-text"> <div class="mbox-text-div" style="display:flex; flex-direction:row; align-items:center; column-gap:5px;"><span class="mbox-image"><span typeof="mw:File"><a href="/wiki/File:Quill-Nuvola.svg" class="mw-file-description" title="Sezione vuota"><img alt="Sezione vuota" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Quill-Nuvola.svg/20px-Quill-Nuvola.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Quill-Nuvola.svg/30px-Quill-Nuvola.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Quill-Nuvola.svg/40px-Quill-Nuvola.svg.png 2x" data-file-width="50" data-file-height="50" /></a></span></span><span style="width:100%"><b>Questa sezione  sull'argomento matematica è ancora vuota</b>. <a class="external text" href="https://it.wikipedia.org/w/index.php?title=Analisi_discriminante_lineare&action=edit">Aiutaci</a> a scriverla!</span></div> </div> </div> <div class="mw-heading mw-heading2"><h2 id="ADL_Multiclasse">ADL Multiclasse</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisi_discriminante_lineare&veaction=edit&section=2" title="Modifica la sezione ADL Multiclasse" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisi_discriminante_lineare&action=edit&section=2" title="Edit section's source code: ADL Multiclasse"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r139255918"><div class="ambox avviso-mini noprint metadata avviso-mini-informazioni plainlinks"> <div class="mbox-text"> <div class="mbox-text-div" style="display:flex; 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flex-direction:row; align-items:center; column-gap:5px;"><span class="mbox-image"><span typeof="mw:File"><a href="/wiki/File:Quill-Nuvola.svg" class="mw-file-description" title="Sezione vuota"><img alt="Sezione vuota" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Quill-Nuvola.svg/20px-Quill-Nuvola.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Quill-Nuvola.svg/30px-Quill-Nuvola.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Quill-Nuvola.svg/40px-Quill-Nuvola.svg.png 2x" data-file-width="50" data-file-height="50" /></a></span></span><span style="width:100%"><b>Questa sezione  sull'argomento matematica è ancora vuota</b>. <a class="external text" href="https://it.wikipedia.org/w/index.php?title=Analisi_discriminante_lineare&action=edit">Aiutaci</a> a scriverla!</span></div> </div> </div> <div class="mw-heading mw-heading2"><h2 id="Applicazioni">Applicazioni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisi_discriminante_lineare&veaction=edit&section=4" title="Modifica la sezione Applicazioni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisi_discriminante_lineare&action=edit&section=4" title="Edit section's source code: Applicazioni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Predizione di <a href="/wiki/Bancarotta" title="Bancarotta">bancarotta</a></li> <li>Riconoscimento dei volti</li> <li>Marketing</li> <li>Studi biomedici</li> <li>Scienze della terra</li></ul> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisi_discriminante_lineare&veaction=edit&section=5" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisi_discriminante_lineare&action=edit&section=5" title="Edit section's source code: Note"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-Fisher:1936-1"><a href="#cite_ref-Fisher:1936_1-0"><b>^</b></a> <span class="reference-text"><cite class="citation pubblicazione" style="font-style:normal"> <a href="/wiki/Ronald_Fisher" title="Ronald Fisher">R. A. Fisher</a>, <a rel="nofollow" class="external text" href="https://digital.library.adelaide.edu.au/dspace/bitstream/2440/15227/1/138.pdf"><span style="font-style:italic;">The Use of Multiple Measurements in Taxonomic Problems</span></a> (<span style="font-weight: bolder; font-size:80%"><abbr title="documento in formato PDF">PDF</abbr></span>), in <span style="font-style:italic;"><a href="/w/index.php?title=Annals_of_Eugenics&action=edit&redlink=1" class="new" title="Annals of Eugenics (la pagina non esiste)">Annals of Eugenics</a></span>, vol. 7, n. 2, 1936, pp. 179–188, <a href="/wiki/Digital_object_identifier" title="Digital object identifier">DOI</a>:<a rel="nofollow" class="external text" href="https://dx.doi.org/10.1111%2Fj.1469-1809.1936.tb02137.x">10.1111/j.1469-1809.1936.tb02137.x</a>.</cite></span> </li> <li id="cite_note-McLachlan:2004-2"><a href="#cite_ref-McLachlan:2004_2-0"><b>^</b></a> <span class="reference-text"><cite class="citation libro" style="font-style:normal"> G. J. McLachlan, <a rel="nofollow" class="external text" href="https://archive.org/details/discriminantanal0000mcla"><span style="font-style:italic;">Discriminant Analysis and Statistical Pattern Recognition</span></a>, Wiley Interscience, 2004, <a href="/wiki/ISBN" title="ISBN">ISBN</a> <a href="/wiki/Speciale:RicercaISBN/978-0-471-69115-0" title="Speciale:RicercaISBN/978-0-471-69115-0">978-0-471-69115-0</a>, <a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">MR</a> <a rel="nofollow" class="external text" href="http://www.ams.org/mathscinet-getitem?mr=1190469">1190469</a>.</cite></span> </li> <li id="cite_note-3"><a href="#cite_ref-3"><b>^</b></a> <span class="reference-text">Analyzing Quantitative Data: An Introduction for Social Researchers, Debra Wetcher-Hendricks, p.288</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Altri_progetti">Altri progetti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisi_discriminante_lineare&veaction=edit&section=6" title="Modifica la sezione Altri progetti" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisi_discriminante_lineare&action=edit&section=6" title="Edit section's source code: Altri progetti"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div id="interProject" class="toccolours" style="display: none; clear: both; margin-top: 2em"><p id="sisterProjects" style="background-color: #efefef; color: black; font-weight: bold; margin: 0"><span>Altri progetti</span></p><ul title="Collegamenti verso gli altri progetti Wikimedia"> <li class="" title=""><span class="plainlinks" title="commons:Category:Discriminant analysis"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Discriminant_analysis?uselang=it">Wikimedia Commons</a></span></li></ul></div> <ul><li><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/?uselang=it" title="Collabora a Wikimedia Commons"><img alt="Collabora a Wikimedia Commons" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png" decoding="async" width="18" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/27px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/36px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/?uselang=it">Wikimedia Commons</a></span> contiene immagini o altri file sull'<b><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Discriminant_analysis?uselang=it">analisi discriminante lineare</a></span></b></li></ul> <div class="mw-heading mw-heading2"><h2 id="Collegamenti_esterni">Collegamenti esterni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisi_discriminante_lineare&veaction=edit&section=7" title="Modifica la sezione Collegamenti esterni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisi_discriminante_lineare&action=edit&section=7" title="Edit section's source code: Collegamenti esterni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://github.com/mhaghighat/dcaFuse"><span style="font-style:italic;">Discriminant Correlation Analysis (DCA) of the Haghighat article (see above)</span></a>.</cite></li> <li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="http://www.alglib.net/dataanalysis/lineardiscriminantanalysis.php"><span style="font-style:italic;">ALGLIB</span></a>.</cite> contains open-source LDA implementation in C# / C++ / Pascal / VBA.</li> <li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="http://people.revoledu.com/kardi/tutorial/LDA/index.html"><span style="font-style:italic;">LDA tutorial using MS Excel</span></a>.</cite></li> <li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150405124836/http://biostat.katerynakon.in.ua/en/prognosis/discriminant-analysis.html"><span style="font-style:italic;">Biomedical statistics. Discriminant analysis</span></a>. <small>URL consultato l'11 novembre 2019</small> <small>(archiviato dall'<abbr title="http://biostat.katerynakon.in.ua/en/prognosis/discriminant-analysis.html">url originale</abbr> il 5 aprile 2015)</small>.</cite></li> <li>(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <cite class="citation video" style="font-style:normal"><span typeof="mw:File"><span><img alt="Filmato audio" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/35mm_film_frames.svg/16px-35mm_film_frames.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/35mm_film_frames.svg/24px-35mm_film_frames.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/35mm_film_frames.svg/32px-35mm_film_frames.svg.png 2x" data-file-width="484" data-file-height="427" /></span></span> <a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=azXCzI57Yfc"><span style="font-style:italic;">StatQuest: Linear Discriminant Analysis (LDA) clearly explained</span></a>, su <span style="font-style:italic;"><a href="/wiki/YouTube" title="YouTube">YouTube</a></span>.</cite></li> <li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080312065328/http://www2.chass.ncsu.edu/garson/pA765/discrim.htm"><span style="font-style:italic;">Course notes, Discriminant function analysis by G. David Garson, NC State University</span></a>. <small>URL consultato l'11 novembre 2019</small> <small>(archiviato dall'<abbr title="http://www2.chass.ncsu.edu/garson/pA765/discrim.htm">url originale</abbr> il 12 marzo 2008)</small>.</cite></li> <li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="http://people.revoledu.com/kardi/tutorial/LDA/"><span style="font-style:italic;">Discriminant analysis tutorial in Microsoft Excel by Kardi Teknomo</span></a>.</cite></li> <li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160303223657/http://www.psychstat.missouristate.edu/multibook/mlt03m.html"><span style="font-style:italic;">Course notes, Discriminant function analysis by David W. Stockburger, Missouri State University</span></a> <small>(archiviato dall'<abbr title="http://www.psychstat.missouristate.edu/multibook/mlt03m.html">url originale</abbr> il 3 marzo 2016)</small>.</cite></li> <li><cite class="citation testo" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://web.archive.org/web/20111215114136/http://userwww.sfsu.edu/~efc/classes/biol710/discrim/discrim.pdf"><span style="font-style:italic;">Discriminant function analysis (DA) by John Poulsen and Aaron French, San Francisco State University</span></a> (<span style="font-weight: bolder; font-size:80%"><abbr title="documento in formato PDF">PDF</abbr></span>) <small>(archiviato dall'<abbr title="http://userwww.sfsu.edu/~efc/classes/biol710/discrim/discrim.pdf">url originale</abbr> il 15 dicembre 2011)</small>.</cite></li></ul> <style data-mw-deduplicate="TemplateStyles:r141815314">.mw-parser-output .navbox{border:1px solid #aaa;clear:both;margin:auto;padding:2px;width:100%}.mw-parser-output .navbox th{padding-left:1em;padding-right:1em;text-align:center}.mw-parser-output .navbox>tbody>tr:first-child>th{background:#ccf;font-size:90%;width:100%;color:var(--color-base,black)}.mw-parser-output .navbox_navbar{float:left;margin:0;padding:0 10px 0 0;text-align:left;width:6em}.mw-parser-output .navbox_title{font-size:110%}.mw-parser-output .navbox_abovebelow{background:#ddf;font-size:90%;font-weight:normal}.mw-parser-output .navbox_group{background:#ddf;font-size:90%;padding:0 10px;white-space:nowrap}.mw-parser-output .navbox_list{font-size:90%;width:100%}.mw-parser-output .navbox_list a{white-space:nowrap}html:not(.vector-feature-night-mode-enabled) .mw-parser-output .navbox_odd{background:#fdfdfd;color:var(--color-base,black)}html:not(.vector-feature-night-mode-enabled) .mw-parser-output .navbox_even{background:#f7f7f7;color:var(--color-base,black)}.mw-parser-output .navbox a.mw-selflink{color:var(--color-base,black)}.mw-parser-output .navbox_center{text-align:center}.mw-parser-output .navbox .navbox_image{padding-left:7px;vertical-align:middle;width:0}.mw-parser-output .navbox+.navbox{margin-top:-1px}.mw-parser-output .navbox .mw-collapsible-toggle{font-weight:normal;text-align:right;width:7em}body.skin--responsive .mw-parser-output .navbox_image img{max-width:none!important}.mw-parser-output .subnavbox{margin:-3px;width:100%}.mw-parser-output .subnavbox_group{background:#e6e6ff;padding:0 10px}@media screen{html.skin-theme-clientpref-night .mw-parser-output .navbox>tbody>tr:first-child>th{background:var(--background-color-interactive)!important}html.skin-theme-clientpref-night .mw-parser-output .navbox th{color:var(--color-base)!important}html.skin-theme-clientpref-night .mw-parser-output .navbox_abovebelow,html.skin-theme-clientpref-night .mw-parser-output .navbox_group{background:var(--background-color-interactive-subtle)!important}html.skin-theme-clientpref-night .mw-parser-output .subnavbox_group{background:var(--background-color-neutral-subtle)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbox>tbody>tr:first-child>th{background:var(--background-color-interactive)!important}html.skin-theme-clientpref-os .mw-parser-output .navbox th{color:var(--color-base)!important}html.skin-theme-clientpref-os .mw-parser-output .navbox_abovebelow,html.skin-theme-clientpref-os .mw-parser-output .navbox_group{background:var(--background-color-interactive-subtle)!important}html.skin-theme-clientpref-os .mw-parser-output .subnavbox_group{background:var(--background-color-neutral-subtle)!important}}</style><table class="navbox mw-collapsible mw-collapsed noprint metadata" id="navbox-Apprendimento_automatico"><tbody><tr><th colspan="3"><div class="navbox_navbar"><div class="noprint plainlinks" style="background-color:transparent; padding:0; font-size:xx-small; color:var(--color-base, #000000); white-space:nowrap;"><a href="/wiki/Template:Apprendimento_automatico" title="Template:Apprendimento automatico"><span title="Vai alla pagina del template">V</span></a> · <a href="/w/index.php?title=Discussioni_template:Apprendimento_automatico&action=edit&redlink=1" class="new" title="Discussioni template:Apprendimento automatico (la pagina non esiste)"><span title="Discuti del template">D</span></a> · <a class="external text" href="https://it.wikipedia.org/w/index.php?title=Template:Apprendimento_automatico&action=edit"><span title="Modifica il template. 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nascosto</a><b> ·</b> <a href="/wiki/K-nearest_neighbors" title="K-nearest neighbors">K-nearest neighbors</a><b> ·</b> <a href="/wiki/Classificatore_bayesiano" title="Classificatore bayesiano">Classificatore bayesiano</a><b> ·</b> <a href="/wiki/Rete_neurale_artificiale" title="Rete neurale artificiale">Rete neurale artificiale</a><b> ·</b> <a href="/wiki/Regressione_lineare" title="Regressione lineare">Regressione lineare</a><b> ·</b> <a href="/wiki/Modello_logit" title="Modello logit">Regressione logistica</a><b> ·</b> <a href="/wiki/Modello_grafico" title="Modello grafico">Modelli grafici</a><b> ·</b> <a href="/wiki/Macchine_a_vettori_di_supporto" title="Macchine a vettori di supporto">Macchine a vettori di supporto</a></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center;"><a href="/wiki/Apprendimento_per_rinforzo" title="Apprendimento per rinforzo">Apprendimento per rinforzo</a></th><td colspan="1" class="navbox_list navbox_even"><a href="/wiki/Q-learning" 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componenti principali">Analisi delle componenti principali</a> (PCA)<b> ·</b> <a href="/wiki/Selezione_delle_caratteristiche" title="Selezione delle caratteristiche">Selezione delle caratteristiche</a><b> ·</b> <a href="/wiki/Estrazione_di_caratteristiche" title="Estrazione di caratteristiche">Estrazione di caratteristiche</a><b> ·</b> <a href="/wiki/T-distributed_stochastic_neighbor_embedding" title="T-distributed stochastic neighbor embedding">t-distributed stochastic neighbor embedding</a> (t-SNE)</td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center;"><a href="/wiki/Rete_neurale_artificiale" title="Rete neurale artificiale">Reti neurali artificiali</a></th><td colspan="1" class="navbox_list navbox_even"><a href="/wiki/Percettrone" title="Percettrone">Percettrone</a><b> ·</b> <a href="/wiki/Rete_neurale_a_base_radiale" title="Rete neurale a base radiale">Rete neurale a base radiale</a><b> ·</b> <a href="/wiki/Rete_bayesiana" title="Rete bayesiana">Rete bayesiana</a><b> ·</b> <a href="/wiki/Rete_neurale_feed-forward" title="Rete neurale feed-forward">Rete neurale feed-forward</a><b> ·</b> <a href="/wiki/Rete_di_Hopfield" title="Rete di Hopfield">Rete di Hopfield</a><b> ·</b> <a href="/wiki/Percettrone_multistrato" title="Percettrone multistrato">Percettrone multistrato</a><b> ·</b> <a href="/wiki/Rete_neurale_ricorrente" title="Rete neurale ricorrente">Rete neurale ricorrente</a> (<a href="/w/index.php?title=Long_short-term_memory&action=edit&redlink=1" class="new" title="Long short-term memory (la pagina non esiste)">LSTM</a>)<b> ·</b> <a href="/wiki/Macchina_di_Boltzmann_ristretta" title="Macchina di Boltzmann ristretta">Macchina di Boltzmann ristretta</a><b> ·</b> <a href="/wiki/Mappa_auto-organizzata" title="Mappa auto-organizzata">Mappa auto-organizzata</a><b> ·</b> <a href="/wiki/Rete_neurale_convoluzionale" title="Rete neurale convoluzionale">Rete neurale convoluzionale</a><b> ·</b> <a href="/wiki/Rete_neurale_a_ritardo" title="Rete neurale a ritardo">Rete neurale a ritardo</a><b> ·</b> <a href="/wiki/Rete_neurale_spiking" title="Rete neurale spiking">Rete neurale spiking</a><b> ·</b> <a href="/wiki/Trasformatore_(informatica)" title="Trasformatore (informatica)">Trasformatore</a></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center;">Software</th><td colspan="1" class="navbox_list navbox_odd"><a href="/wiki/Keras" title="Keras">Keras</a><b> ·</b> <a href="/wiki/Microsoft_Cognitive_Toolkit" title="Microsoft Cognitive Toolkit">Microsoft Cognitive Toolkit</a><b> ·</b> <a href="/wiki/Scikit-learn" title="Scikit-learn">Scikit-learn</a><b> ·</b> <a href="/wiki/TensorFlow" title="TensorFlow">TensorFlow</a><b> ·</b> <a href="/wiki/Theano" title="Theano">Theano</a><b> ·</b> <a href="/w/index.php?title=Torch_(libreria_software)&action=edit&redlink=1" class="new" title="Torch (libreria software) (la pagina non esiste)">Torch</a><b> ·</b> <a href="/wiki/Weka_(software)" title="Weka 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