2020-08-14 02:12:19 +02:00
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\section{Exemple}
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2020-08-07 16:06:07 +02:00
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2020-08-14 16:38:42 +02:00
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L’exemple suivant, en 2 parties, illustre bien le propos.
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2020-08-14 16:16:25 +02:00
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2020-08-14 16:38:42 +02:00
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\textbf{Linéaire} \cite{ex-linear}
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2020-08-14 16:16:25 +02:00
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2020-08-07 16:06:07 +02:00
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…
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2020-08-14 23:26:09 +02:00
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\fig{}{Bon ou mauvais en \gls{ml},\\
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d’après les notes de Mathématiquess et Statistiques}
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{24em}{ex-linear-plot}
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2020-08-14 16:38:42 +02:00
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…
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2020-08-14 23:26:09 +02:00
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\fig{}{Séparation à Vaste Marge très nette}
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{24em}{ex-linear-svm}
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2020-08-14 16:38:42 +02:00
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…
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2020-08-14 23:26:09 +02:00
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\fig{}{Anomalies dans le \gls{ds}, violations de marge}
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{24em}{ex-linear-out}
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2020-08-14 16:38:42 +02:00
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…
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2020-08-14 23:26:09 +02:00
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\fig{}{Différentes séparations à marge souple, variation de C}
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{28em}{ex-linear-soft}
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2020-08-14 16:38:42 +02:00
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…
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\pagebreak
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\textbf{Non linéaire} \cite{ex-nonlinear}
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2020-08-14 16:16:25 +02:00
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…
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2020-08-13 00:48:25 +02:00
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2020-08-14 23:26:09 +02:00
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\fig{}{\Gls{ds} inséparable de façon linéaire}
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2020-08-14 16:55:31 +02:00
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{24em}{ex-nonlinear-plot}
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…
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2020-08-14 23:26:09 +02:00
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{\LARGE
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$X_{1}=x_{1}^{2}$
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$X_{2}=x_{2}^{2}$
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$X_{3}=\sqrt{2} × x_{1} × x_{2}$
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}
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…
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\fig{}{\Gls{hpp} séparateur linéaire dans le nouvel espace dimensionnel}
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2020-08-14 16:55:31 +02:00
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{24em}{ex-nonlinear-linear}
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…
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2020-08-14 23:26:09 +02:00
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\fig{}{Fonction de décision non linéaire dans l’espace d’origine}
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2020-08-14 16:55:31 +02:00
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{24em}{ex-nonlinear-svm}
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…
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2020-08-14 23:26:09 +02:00
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\fig{}{Projection de la marge de séparation dans l’espace d’origine}
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{24em}{ex-nonlinear-sv}
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…
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2020-08-07 16:06:07 +02:00
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\pagebreak
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