From d9f660474c409507aebd6c9d2cdc79c92e15e9be Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= Date: Thu, 25 Apr 2024 12:11:06 +0200 Subject: [PATCH] =?UTF-8?q?Ulepszony=20wyk=C5=82ad=207=20o=20uczeniu=20nie?= =?UTF-8?q?nadzorowanym?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- wyk/07_Uczenie_nienadzorowane.ipynb | 560 +++++++++++++++++----------- 1 file changed, 350 insertions(+), 210 deletions(-) diff --git a/wyk/07_Uczenie_nienadzorowane.ipynb b/wyk/07_Uczenie_nienadzorowane.ipynb index f6a8715..b696f0a 100644 --- a/wyk/07_Uczenie_nienadzorowane.ipynb +++ b/wyk/07_Uczenie_nienadzorowane.ipynb @@ -24,7 +24,7 @@ "\n", "Mamy zbiór okazów roślin i dysponujemy pewnymi danymi na ich temat (długość płatków kwiatów, ich szerokość itp.), ale zupełnie **nie wiemy**, do jakich gatunków one należą (nie wiemy nawet, ile jest tych gatunków).\n", "\n", - "Chcemy automatycznie podzielić zbiór posiadanych okazów na nie więcej niż $k$ grup (klastrów) ($k$ ustalamy z góry), czyli dokonać **grupowania (klastrowania)** zbioru przykładów.\n", + "Chcemy automatycznie podzielić zbiór posiadanych okazów na nie więcej niż $k$ grup (klastrów) ($k$ ustalamy z góry), czyli dokonać **grupowania (klastrowania; analizy skupień)** zbioru przykładów.\n", "\n", "Jest to zagadnienie z kategorii uczenia nienadzorowanego.\n", "\n", @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "slideshow": { "slide_type": "notes" @@ -59,39 +59,10 @@ "import numpy as np\n", "import pandas\n", "import random\n", - "import seaborn\n", "\n", "%matplotlib inline" ] }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "outputs": [], - "source": [ - "# Wczytanie danych (gatunki kosaćców)\n", - "\n", - "data_iris_raw = pandas.read_csv('iris.csv')\n", - "data_iris = pandas.DataFrame()\n", - "data_iris['x1'] = data_iris_raw['sl']\n", - "data_iris['x2'] = data_iris_raw['sw']\n", - "data_iris['x3'] = data_iris_raw['pl']\n", - "data_iris['x4'] = data_iris_raw['sw']\n", - "\n", - "# Nie używamy w ogóle kolumny ostatniej kolumny (\"Gatunek\"), \n", - "# ponieważ chcemy dokonać uczenia nienadzorowanego.\n", - "# Przyjmujemy, że w ogóle nie dysponujemy danymi na temat gatunku,\n", - "# mamy tylko 150 nieznanych roślin.\n", - "\n", - "X = data_iris.values\n", - "Xs = data_iris.values[:, 2:4]" - ] - }, { "cell_type": "code", "execution_count": 3, @@ -100,95 +71,81 @@ "slide_type": "notes" } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " x1 x2\n", + "0 1.4 3.4\n", + "1 1.5 3.7\n", + "2 5.6 3.1\n", + "3 5.1 3.2\n", + "4 4.5 2.5\n", + ".. ... ...\n", + "145 1.2 4.0\n", + "146 1.4 3.5\n", + "147 5.8 3.0\n", + "148 5.4 3.1\n", + "149 5.7 3.3\n", + "\n", + "[150 rows x 2 columns]\n" + ] + } + ], "source": [ - "# Wykres danych\n", - "def plot_unlabeled_data(X, col1=0, col2=1, x1label=r'$x_1$', x2label=r'$x_2$'): \n", - " fig = plt.figure(figsize=(16*.7, 9*.7))\n", - " ax = fig.add_subplot(111)\n", - " fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n", - " X1 = X[:, col1].tolist()\n", - " X2 = X[:, col2].tolist()\n", - " ax.scatter(X1, X2, c='k', marker='o', s=50, label='Dane')\n", - " ax.set_xlabel(x1label)\n", - " ax.set_ylabel(x2label)\n", - " ax.margins(.05, .05)\n", - " return fig" + "# Wczytanie danych (gatunki kosaćców)\n", + "\n", + "data_iris_raw = pandas.read_csv(\"iris.csv\")\n", + "\n", + "# Nie używamy w ogóle kolumny ostatniej kolumny (\"Gatunek\"),\n", + "# ponieważ chcemy dokonać uczenia nienadzorowanego.\n", + "# Przyjmujemy, że w ogóle nie dysponujemy danymi na temat gatunku,\n", + "# mamy tylko 150 nieznanych roślin.\n", + "\n", + "# Żeby łatwiej pokazać akgorytm k średnich, ograniczmy się tylko do dwóch cech.\n", + "\n", + "data_iris = pandas.DataFrame()\n", + "data_iris[\"x1\"] = data_iris_raw[\"pl\"]\n", + "data_iris[\"x2\"] = data_iris_raw[\"sw\"]\n", + "\n", + "print(data_iris)" ] }, { "cell_type": "code", "execution_count": 4, - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, + "metadata": {}, "outputs": [], "source": [ - "# Przygotowanie interaktywnego wykresu\n", + "# Dla uproszczenia oznaczeń, cały zbiór zapisuję do zmiennej X,\n", + "# a jego kolumny (cechy) do zmiennych X1 i X2\n", "\n", - "dropdown_arg1 = widgets.Dropdown(options=[0, 1, 2, 3], value=2, description='arg1')\n", - "dropdown_arg2 = widgets.Dropdown(options=[0, 1, 2, 3], value=3, description='arg2')\n", - "\n", - "def interactive_unlabeled_data(arg1, arg2):\n", - " fig = plot_unlabeled_data(\n", - " X, col1=arg1, col2=arg2, x1label='$x_{}$'.format(arg1), x2label='$x_{}$'.format(arg2))" + "X = data_iris.values\n", + "X1 = data_iris[\"x1\"].tolist()\n", + "X2 = data_iris[\"x2\"].tolist()" ] }, { "cell_type": "code", "execution_count": 5, - "metadata": { - "scrolled": true, - "slideshow": { - "slide_type": "subslide" - } - }, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "3bcad5ddb50742619e46eaf3ff1ab1e8", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(Dropdown(description='arg1', index=2, options=(0, 1, 2, 3), value=2), Dropdown(descripti…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "widgets.interact(interactive_unlabeled_data, arg1=dropdown_arg1, arg2=dropdown_arg2)" - ] - }, - { - "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, + "outputs": [], "source": [ - "Powyższy wykres przedstawia surowe dane.\n", - "Ponieważ nasze obserwacje mają 4 współrzędne, na płaskim wykresie możemy przedstawić tylko dwie z nich.\n", - "\n", - "Dlatego powyższy wykres umożliwia wybór dwóch współrzędnych, na które chcemy rzutować.\n", - "\n", - "Wszystkie takie „rzuty” przedstawia również wykres poniżej." + "# Wykres danych\n", + "def plot_unlabeled_data(X1, X2, x1label=r\"$x_1$\", x2label=r\"$x_2$\"):\n", + " fig = plt.figure(figsize=(16 * 0.7, 9 * 0.7))\n", + " ax = fig.add_subplot(111)\n", + " fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n", + " ax.scatter(X1, X2, c=\"k\", marker=\"o\", s=50, label=\"Dane\")\n", + " ax.set_xlabel(x1label)\n", + " ax.set_ylabel(x2label)\n", + " ax.margins(0.05, 0.05)\n", + " return fig" ] }, { @@ -196,33 +153,15 @@ "execution_count": 6, "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/pawel/.local/lib/python3.10/site-packages/seaborn/axisgrid.py:2095: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n", - " warnings.warn(msg, UserWarning)\n" - ] - }, { "data": 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", "text/plain": [ - "" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -230,7 +169,8 @@ } ], "source": [ - "seaborn.pairplot(data_iris, vars=data_iris.columns, size=1.5, aspect=1.75)" + "# Generowanie wykresu\n", + "fig = plot_unlabeled_data(X1, X2, x1label=\"$x_1$\", x2label=\"$x_2$\")" ] }, { @@ -251,40 +191,12 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, + "metadata": {}, "outputs": [], "source": [ - "# Algorytm k średnich\n", - "def k_means(X, k, distance=euclidean_distance):\n", - " history = []\n", - " Y = []\n", - " \n", - " # Wylosuj centroid dla każdej klasy\n", - " centroids = [[random.uniform(X.min(axis=0)[f], X.max(axis=0)[f])\n", - " for f in range(X.shape[1])]\n", - " for c in range(k)]\n", - " history.append((centroids, Y))\n", - "\n", - " # Powtarzaj, dopóki klasy się zmieniają\n", - " while True:\n", - " distances = [[distance(centroids[c], x) for c in range(k)] for x in X]\n", - " Y_new = [d.index(min(d)) for d in distances]\n", - " if Y_new == Y:\n", - " break\n", - " Y = Y_new\n", - " history.append((centroids, Y))\n", - " XY = np.asarray(np.concatenate((X, np.matrix(Y).T), axis=1))\n", - " Xc = [XY[XY[:, 2] == c][:, :-1] for c in range(k)]\n", - " centroids = [[Xc[c].mean(axis=0)[f] for f in range(X.shape[1])]\n", - " for c in range(k)]\n", - " history.append((centroids, Y))\n", - "\n", - " result = history[-1][1]\n", - " return result, history" + "# Funkcja kosztu\n", + "def cost_function(X, Y, centroids, distance):\n", + " return np.mean([distance(x, centroids[y]) ** 2 for x, y in zip(X, Y)])" ] }, { @@ -297,42 +209,123 @@ }, "outputs": [], "source": [ - "# Wykres danych - klastrowanie\n", - "def plot_clusters(X, Y, k, centroids=None):\n", - " color = ['r', 'g', 'b', 'c', 'm', 'y', 'k']\n", - " fig = plt.figure(figsize=(16*.7, 9*.7))\n", - " ax = fig.add_subplot(111)\n", - " fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n", + "# Algorytm k średnich\n", + "def k_means(X, k, distance=euclidean_distance):\n", + " history = []\n", + " Y = []\n", "\n", - " if not Y:\n", - " ax.scatter(X[:, 0], X[:, 1], c='gray', marker='o', s=25, label='Dane')\n", + " # Wylosuj centroid dla każdej klasy\n", + " centroids = [\n", + " [random.uniform(X.min(axis=0)[f], X.max(axis=0)[f]) for f in range(X.shape[1])]\n", + " for c in range(k)\n", + " ]\n", + " cost = cost_function(X, Y, centroids, distance)\n", + " history.append((centroids, Y, cost))\n", "\n", - " X1 = [[x for x, y in zip(X[:, 0].tolist(), Y) if y == c] for c in range(k)]\n", - " X2 = [[x for x, y in zip(X[:, 1].tolist(), Y) if y == c] for c in range(k)]\n", + " # Powtarzaj, dopóki klasy się zmieniają\n", + " while True:\n", + " distances = [[distance(centroids[c], x) for c in range(k)] for x in X]\n", + " Y_new = [d.index(min(d)) for d in distances]\n", + " if Y_new == Y:\n", + " break\n", + " Y = Y_new\n", + " cost = cost_function(X, Y, centroids, distance)\n", + " history.append((centroids, Y, cost))\n", + " XY = np.asarray(np.concatenate((X, np.matrix(Y).T), axis=1))\n", + " Xc = [XY[XY[:, 2] == c][:, :-1] for c in range(k)]\n", + " centroids = [\n", + " [Xc[c].mean(axis=0)[f] for f in range(X.shape[1])] for c in range(k)\n", + " ]\n", + " cost = cost_function(X, Y, centroids, distance)\n", + " history.append((centroids, Y, cost))\n", "\n", - " for c in range(k):\n", - " ax.scatter(X1[c], X2[c], c=color[c], marker='o', s=25, label='Dane')\n", - " if centroids:\n", - " ax.scatter([centroids[c][0]], [centroids[c][1]], c=color[c], marker='+', s=500, label='Centroid')\n", - " \n", - " ax.set_xlabel(r'$x_1$')\n", - " ax.set_ylabel(r'$x_2$')\n", - " ax.margins(.05, .05)\n", - " return fig" + " result = history[-1][1]\n", + " return result, history" ] }, { "cell_type": "code", "execution_count": 10, + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "outputs": [], + "source": [ + "# Wykres danych - klastrowanie\n", + "def plot_clusters(X, Y, k, centroids=None, cost=\"\"):\n", + " color = [\"r\", \"g\", \"b\", \"c\", \"m\", \"y\", \"k\"]\n", + " fig = plt.figure(figsize=(16 * 0.7, 9 * 0.7))\n", + " ax = fig.add_subplot(111)\n", + " fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n", + "\n", + " if not Y:\n", + " ax.scatter(X[:, 0], X[:, 1], c=\"gray\", marker=\"o\", s=25, label=\"Dane\")\n", + "\n", + " X1 = [[x for x, y in zip(X[:, 0].tolist(), Y) if y == c] for c in range(k)]\n", + " X2 = [[x for x, y in zip(X[:, 1].tolist(), Y) if y == c] for c in range(k)]\n", + "\n", + " for c in range(k):\n", + " ax.scatter(X1[c], X2[c], c=color[c], marker=\"o\", s=25, label=\"Dane\")\n", + " if centroids:\n", + " ax.scatter(\n", + " [centroids[c][0]],\n", + " [centroids[c][1]],\n", + " c=color[c],\n", + " marker=\"+\",\n", + " s=500,\n", + " label=\"Centroid\",\n", + " )\n", + "\n", + " ax.set_xlabel(r\"$x_1$\")\n", + " ax.set_ylabel(r\"$x_2$\")\n", + " ax.annotate(\n", + " f\"koszt: {cost:.3f}\",\n", + " xy=(1, 0),\n", + " xycoords=\"axes fraction\",\n", + " xytext=(-20, 20),\n", + " textcoords=\"offset pixels\",\n", + " horizontalalignment=\"right\",\n", + " verticalalignment=\"bottom\",\n", + " fontsize=12,\n", + " )\n", + " ax.margins(0.05, 0.05)\n", + " return fig" + ] + }, + { + "cell_type": "code", + "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" } }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/pawel/.local/lib/python3.10/site-packages/numpy/core/fromnumeric.py:3504: RuntimeWarning: Mean of empty slice.\n", + " return _methods._mean(a, axis=axis, dtype=dtype,\n", + "/home/pawel/.local/lib/python3.10/site-packages/numpy/core/_methods.py:129: RuntimeWarning: invalid value encountered in scalar divide\n", + " ret = ret.dtype.type(ret / rcount)\n" + ] + } + ], + "source": [ + "Y, history = k_means(X, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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", "text/plain": [ "
" ] @@ -342,13 +335,12 @@ } ], "source": [ - "Ys, history = k_means(Xs, 2)\n", - "fig = plot_clusters(Xs, Ys, 2, centroids=history[-1][0])," + "fig = plot_clusters(X, Y, 2, centroids=history[-1][0], cost=history[-1][2])" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 14, "metadata": { "slideshow": { "slide_type": "notes" @@ -360,23 +352,35 @@ "\n", "MAXSTEPS = 15\n", "\n", - "slider_k = widgets.IntSlider(min=1, max=7, step=1, value=2, description=r'$k$', width=300)\n", + "slider_k = widgets.IntSlider(\n", + " min=1, max=7, step=1, value=2, description=r\"$k$\", width=300\n", + ")\n", + "\n", "\n", "def interactive_kmeans_k(steps, history, k):\n", " if steps >= len(history) or steps == MAXSTEPS:\n", " steps = len(history) - 1\n", - " fig = plot_clusters(Xs, history[steps][1], k, centroids=history[steps][0])\n", - " \n", + " fig = plot_clusters(\n", + " X, history[steps][1], k, centroids=history[steps][0], cost=history[steps][2]\n", + " )\n", + "\n", + "\n", "def interactive_kmeans(k):\n", - " slider_steps = widgets.IntSlider(min=0, max=MAXSTEPS, step=1, value=0, description=r'steps', width=300)\n", - " _, history = k_means(Xs, k)\n", - " widgets.interact(interactive_kmeans_k, steps=slider_steps,\n", - " history=widgets.fixed(history), k=widgets.fixed(k))" + " slider_steps = widgets.IntSlider(\n", + " min=0, max=MAXSTEPS, step=1, value=0, description=r\"steps\", width=300\n", + " )\n", + " _, history = k_means(X, k)\n", + " widgets.interact(\n", + " interactive_kmeans_k,\n", + " steps=slider_steps,\n", + " history=widgets.fixed(history),\n", + " k=widgets.fixed(k),\n", + " )" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": { "slideshow": { "slide_type": "subslide" @@ -386,7 +390,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "9d4f9c34d6b645b1b2c5d235bc1a8b26", + "model_id": "2c45fd83bd37477eaa2555f33b878064", "version_major": 2, "version_minor": 0 }, @@ -403,13 +407,13 @@ "" ] }, - "execution_count": 13, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "widgets.interact_manual(interactive_kmeans, k=slider_k) " + "widgets.interact_manual(interactive_kmeans, k=slider_k)" ] }, { @@ -468,21 +472,23 @@ "# Algorytm k średnich\n", "def kmeans(X, k, distance=euclidean_distance):\n", " Y = []\n", - " centroids = [[random.uniform(X.min(axis=0)[f],X.max(axis=0)[f])\n", - " for f in range(X.shape[1])]\n", - " for c in range(k)] # Wylosuj centroidy\n", + " centroids = [\n", + " [random.uniform(X.min(axis=0)[f], X.max(axis=0)[f]) for f in range(X.shape[1])]\n", + " for c in range(k)\n", + " ] # Wylosuj centroidy\n", " while True:\n", - " distances = [[distance(centroids[c], x) for c in range(k)]\n", - " for x in X] # Oblicz odległości\n", + " distances = [\n", + " [distance(centroids[c], x) for c in range(k)] for x in X\n", + " ] # Oblicz odległości\n", " Y_new = [d.index(min(d)) for d in distances]\n", " if Y_new == Y:\n", " break # Jeśli nic się nie zmienia, przerwij\n", " Y = Y_new\n", - " XY = np.asarray(np.concatenate((X,np.matrix(Y).T),axis=1))\n", + " XY = np.asarray(np.concatenate((X, np.matrix(Y).T), axis=1))\n", " Xc = [XY[XY[:, 2] == c][:, :-1] for c in range(k)]\n", - " centroids = [[Xc[c].mean(axis=0)[f]\n", - " for f in range(X.shape[1])]\n", - " for c in range(k)] # Przesuń centroidy\n", + " centroids = [\n", + " [Xc[c].mean(axis=0)[f] for f in range(X.shape[1])] for c in range(k)\n", + " ] # Przesuń centroidy\n", " return Y" ] }, @@ -567,7 +573,70 @@ "### Wybór liczby klastrów $k$\n", "\n", "Ile powinna wynosić liczba grup $k$?\n", - "* Najlepiej wybrać $k$ ręcznie w zależności od kształtu danych i celu, który chcemy osiągnąć." + "* Najlepiej wybrać $k$ ręcznie w zależności od kształtu danych i celu, który chcemy osiągnąć.\n", + "* Możemy też zastosować \"metodę łokcia\"" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_66762/241557999.py:24: RuntimeWarning: Mean of empty slice.\n", + " centroids = [[Xc[c].mean(axis=0)[f] for f in range(X.shape[1])]\n", + "/home/pawel/.local/lib/python3.10/site-packages/numpy/core/_methods.py:121: RuntimeWarning: invalid value encountered in divide\n", + " ret = um.true_divide(\n" + ] + } + ], + "source": [ + "# Przygotowanie wykresu\n", + "\n", + "ks = []\n", + "costs = []\n", + "for k in range(1, 10):\n", + " min_cost = 100000.0\n", + " best_Y = None\n", + " for _ in range(10): # wielokrotna inicjalizacja\n", + " Y, history = k_means(X, k)\n", + " cost = history[-1][2]\n", + " if cost < min_cost:\n", + " best_Y = Y\n", + " min_cost = cost\n", + " ks.append(k)\n", + " costs.append(min_cost)\n", + "\n", + "\n", + "def elbow_plot(ks, costs):\n", + " fig = plt.figure(figsize=(16 * 0.7, 9 * 0.7))\n", + " ax = fig.add_subplot(111)\n", + " ax.set_xlabel(r\"$k$\")\n", + " ax.set_ylabel(\"koszt\")\n", + " ax.plot(ks, costs, marker=\"o\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "elbow_plot(ks, costs)" ] }, { @@ -712,7 +781,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": { "slideshow": { "slide_type": "subslide" @@ -722,6 +791,7 @@ "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", + "\n", "# Algorytm PCA - implementacja\n", "def pca(X, k):\n", " X_std = StandardScaler().fit_transform(X) # normalizacja\n", @@ -729,18 +799,90 @@ " cov_mat = np.cov(X_std.T) # macierz kowariancji\n", " n = cov_mat.shape[0]\n", " eig_vals, eig_vecs = np.linalg.eig(cov_mat) # wektory własne\n", - " eig_pairs = [(np.abs(eig_vals[i]), eig_vecs[:, i])\n", - " for i in range(len(eig_vals))]\n", + " eig_pairs = [(np.abs(eig_vals[i]), eig_vecs[:, i]) for i in range(len(eig_vals))]\n", " eig_pairs.sort()\n", " eig_pairs.reverse()\n", - " matrix_w = np.hstack([eig_pairs[i][1].reshape(n, 1)\n", - " for i in range(k)]) # wybór\n", + " matrix_w = np.hstack([eig_pairs[i][1].reshape(n, 1) for i in range(k)]) # wybór\n", " return X_std.dot(matrix_w) # transformacja" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " sl sw pl pw\n", + "0 5.2 3.4 1.4 0.2\n", + "1 5.1 3.7 1.5 0.4\n", + "2 6.7 3.1 5.6 2.4\n", + "3 6.5 3.2 5.1 2.0\n", + "4 4.9 2.5 4.5 1.7\n", + ".. ... ... ... ...\n", + "145 5.8 4.0 1.2 0.2\n", + "146 5.1 3.5 1.4 0.3\n", + "147 6.5 3.0 5.8 2.2\n", + "148 6.9 3.1 5.4 2.1\n", + "149 6.7 3.3 5.7 2.1\n", + "\n", + "[150 rows x 4 columns]\n" + ] + } + ], + "source": [ + "data_iris_no_labels = data_iris_raw[[\"sl\", \"sw\", \"pl\", \"pw\"]]\n", + "print(data_iris_no_labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/pawel/.local/lib/python3.10/site-packages/seaborn/axisgrid.py:2100: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n", + " warnings.warn(msg, UserWarning)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn\n", + "\n", + "# Oryginalne dane (4 cechy – 4 wymiary)\n", + "seaborn.pairplot(\n", + " data_iris_no_labels, vars=data_iris_no_labels.columns, size=1.5, aspect=1.75\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 23, "metadata": { "slideshow": { "slide_type": "subslide" @@ -749,7 +891,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", 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" ] @@ -759,10 +901,8 @@ } ], "source": [ - "# X - dane ze zbioru \"iris\" z poprzedniego przykładu\n", - "\n", - "X_pca = pca(X, 2)\n", - "fig = plot_unlabeled_data(X_pca)" + "transformed_data = pca(data_iris_no_labels, 2) # dane przekształcone za pomocą PCA\n", + "fig = plot_unlabeled_data(transformed_data[:, 0], transformed_data[:, 1])" ] }, { @@ -775,7 +915,7 @@ "source": [ "Analiza głównych składowych umożliwiła stworzenie powyższego wykresu, który wizualizuje 4-wymiarowe dane ze zbioru *iris* na 2-wymiarowej płaszczyźnie.\n", "\n", - "Współrzędne $x_1$ i $x_2$, stanowiące osi wykresu, zostały uzyskane w wyniku działania algorytmu PCA (nie są to żadne z oryginalnych cech ze zbioru *iris* – długość płatka, szerokość płatka itp.)." + "Współrzędne $x_1$ i $x_2$, stanowiące osi wykresu, zostały uzyskane w wyniku działania algorytmu PCA (**nie** są to żadne z oryginalnych cech ze zbioru *iris* – ani długość płatka, ani szerokość płatka itp. – tylko nowo utworzone cechy)." ] }, {