From 9e353a1e3702e4b2a29906fd43ecc13aa3f48777 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= Date: Fri, 13 Jan 2023 15:54:35 +0100 Subject: [PATCH] Jeszcze o SVM --- ....ipynb => 10_SVM_i_drzewa_decyzyjne.ipynb} | 105 +++++++++++++----- 1 file changed, 78 insertions(+), 27 deletions(-) rename wyk/{10_Drzewa_decyzyjne_i_SVM.ipynb => 10_SVM_i_drzewa_decyzyjne.ipynb} (57%) diff --git a/wyk/10_Drzewa_decyzyjne_i_SVM.ipynb b/wyk/10_SVM_i_drzewa_decyzyjne.ipynb similarity index 57% rename from wyk/10_Drzewa_decyzyjne_i_SVM.ipynb rename to wyk/10_SVM_i_drzewa_decyzyjne.ipynb index 19524f0..280994d 100644 --- a/wyk/10_Drzewa_decyzyjne_i_SVM.ipynb +++ b/wyk/10_SVM_i_drzewa_decyzyjne.ipynb @@ -59,6 +59,9 @@ "data_iris_setosa = pandas.DataFrame()\n", "data_iris_setosa['dł. płatka'] = data_iris['pl'] # \"pl\" oznacza \"petal length\"\n", "data_iris_setosa['szer. płatka'] = data_iris['pw'] # \"pw\" oznacza \"petal width\"\n", + "\n", + "# SVM to metoda klasyfikacji dwuklasowej.\n", + "# Poszczególne klasy będziemy oznaczać jako \"1\" i \"-1\":\n", "data_iris_setosa['Iris setosa?'] = data_iris['Gatunek'].apply(lambda x: 1 if x=='Iris-setosa' else -1)\n", "\n", "m, n_plus_1 = data_iris_setosa.values.shape\n", @@ -93,28 +96,6 @@ "ax.set_aspect('equal')" ] }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "subslide" - } - }, - "source": [ - "**Maszyna wektorów nośnych** (*support vector machine*) próbuje oddzielić punkty należące do różnych klas za pomocą hiperpłaszczyzny w taki sposób, żeby margines był jak największy." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "W tym celu wykorzystywana jest funkcja kosztu *hinge loss*." - ] - }, { "cell_type": "code", "execution_count": 100, @@ -146,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": 143, + "execution_count": 157, "metadata": { "slideshow": { "slide_type": "notes" @@ -168,7 +149,7 @@ " P = model.decision_function(xy).reshape(X.shape)\n", " \n", " # plot decision boundary and margins\n", - " ax.contour(X, Y, P, colors='k',\n", + " ax.contour(X, Y, P, colors=['orange', 'green', 'orange'],\n", " levels=[-1, 0, 1], alpha=0.5,\n", " linestyles=['--', '-', '--'])\n", " \n", @@ -176,13 +157,13 @@ " if plot_support:\n", " ax.scatter(model.support_vectors_[:, 0],\n", " model.support_vectors_[:, 1],\n", - " s=300, linewidth=1, edgecolors='k', facecolors='none')\n", + " s=300, linewidth=1, edgecolors='purple', facecolors='none')\n", " ax.set_aspect('equal')" ] }, { "cell_type": "code", - "execution_count": 144, + "execution_count": 158, "metadata": { "slideshow": { "slide_type": "subslide" @@ -191,7 +172,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -205,6 +186,76 @@ "plot_svc_decision_function(model)" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "**Maszyna wektorów nośnych** (*support vector machine*) próbuje oddzielić punkty należące do różnych klas (czerwone i niebieskie kropki) za pomocą **hiperpłaszczyzny** (zielona ciągła linia) w taki sposób, żeby **margines** (obszar między pomarańczowymi przerywanymi liniami) był jak największy." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Punkty, które stykają się z marginesem, nazywamy **wektorami nośnymi** (fioletowe kółka) – stąd nazwa metody." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "W celu znalezienia hiperpłaszczyzny wykorzystywana jest funkcja kosztu *hinge loss*:\n", + "$$ J(y) = \\max(0, 1 - t \\cdot y) , $$\n", + "gdzie $t$ to oczekiwana wartość klasyfikacji ($1$ lub $-1$), a $y$ to wyjście klasyfikatora." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + " W przypadku *liniowej* maszyny wektorów nośnych:\n", + " $$ y = w \\cdot x + b , $$\n", + " gdzie $w$ i $b$ to parametry hiperpłaszczyzny, a $x$ to wejście klasyfikatora (wektor cech)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Nauczenie klasyfikatora SVM sprowadza się do znalezienia parametrów hiperpłaszczyzny, która minimalizuje funkcję kosztu. Można to zrobić np. za pomocą metody spadku gradientu." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Jeżeli klas nie da się oddzielić za pomocą hiperpłaszczyzny, można przekształcić dane wejściowe za pomocą odpowiedniej funkcji (tzw. *kernel trick*) tak, aby przekształcone dane były oddzielalne." + ] + }, { "cell_type": "markdown", "metadata": {