{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Clustering, Density Estimation, and Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " ### K-Means Clustering\n", " \n", " L'algoritmo K-Means si pone l'obiettivo di trovare gruppi (**clusters**) di dati in uno spazio multidimensionale. Vediamo un esempio di uso dell'algoritmo K-Means. Consideriamo il dataset \"Old Faithful\". Il dataset contiene misurazioni sulle eruzioni del geyser Old Faithful nel Yellowstone National Park, USA. In particolare, ogni record riporta la durata di una eruzione e il tempo passato tra l'eruzione corrente e la successiva. Carichiamo il dataset:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Numero di record: 272\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " eruptions waiting\n", "0 3.600 79\n", "1 1.800 54\n", "2 3.333 74\n", "3 2.283 62\n", "4 4.533 85" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from statsmodels.datasets import get_rdataset\n", "faithful = get_rdataset('faithful')\n", "print(\"Numero di record:\",len(faithful.data))\n", "faithful.data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applichiamo una normalizzazione per media e deviazione standard (z-scoring) ai dati e plottiamoli:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "faithful.data = (faithful.data-faithful.data.mean())/faithful.data.std()\n", "#possiamo utilizzare la funzione \"plot\" dei dataframe o tutti gli altri metodi visti in precedenza\n", "faithful.data.plot(x='eruptions',y='waiting',kind='scatter')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 1**\n", ">\n", "> I dati mostrati sopra presentano caratteristiche peculiari?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alleniamo adesso l'algoritmo K-Means specificando $2$ come numero di cluster:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/furnari/opt/anaconda3/lib/python3.9/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", " super()._check_params_vs_input(X, default_n_init=10)\n" ] }, { "data": { "text/html": [ "
KMeans(n_clusters=2)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "KMeans(n_clusters=2)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.cluster import KMeans\n", "kmeans = KMeans(n_clusters=2)\n", "kmeans.fit(faithful.data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'algoritmo K-Means ha assegnato ogni dato di training ad uno dei cluster. Possiamo accedere alla variabile degli assegmanti come segue:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1\n", " 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0\n", " 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0\n", " 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1\n", " 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1\n", " 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n", " 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1\n", " 0 0 0 1 0 1 1 0 0 1 0 1 0]\n" ] } ], "source": [ "clusters = kmeans.labels_\n", "print(clusters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ogni elemento è stato assegnato ad uno dei due cluster identificati con $1$ o $0$. Per comodità, costruiamo un nuovo dataframe in cui rinominiamo le variabili in \"X\" e \"Y\" e aggiungiamo una variabile \"C\" che indica il cluster a cui ogni record è stato associato:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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XYC
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" ], "text/plain": [ " X Y C\n", "0 0.098318 0.596025 0\n", "1 -1.478733 -1.242890 1\n", "2 -0.135612 0.228242 0\n", "3 -1.055558 -0.654437 1\n", "4 0.915755 1.037364 0" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "data = pd.DataFrame()\n", "data['X'] = faithful.data['eruptions']\n", "data['Y'] = faithful.data['waiting']\n", "data['C'] = clusters.astype(int)\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plottiamo dunque i dati visualizzando a quale cluster sono stati associati:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot2d(data):\n", " classes = sorted(data.C.unique())\n", " for c in classes:\n", " plt.plot(data.where(data.C==c).dropna().X.values,\n", " data.where(data.C==c).dropna().Y.values,'o', markersize=10, label=str(c))\n", "\n", "plt.figure(figsize=(12,8))\n", "plot2d(data)\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 2**\n", ">\n", "> L'assegnamento dei cluster è plausibile? Si esegua più volte l'algoritmo K-Means. La soluzione cambia? Perché? Le soluzioni trovate sono equivalenti?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Possiamo accedere ai centroidi trovati dall'algoritmo K-Means come segue:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.70839746, 0.67549972],\n", " [-1.25776692, -1.19935664]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.cluster_centers_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similmente a quanto fa un algoritmo di tipo Nearest Neighbor, anche il K-Means definisce implicitamente delle regioni di decisione e un decision boundary. Vediamo di visualizzare queste informazioni nel nostro caso:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def plot_kmeans_decision_boundary(data, kmeans):\n", " plot2d(data)\n", " X = np.linspace(data.X.min(), data.X.max(),200)\n", " Y = np.linspace(data.Y.min(), data.Y.max(),200)\n", " X,Y = np.meshgrid(X,Y)\n", " \n", " Z = kmeans.predict(np.c_[X.ravel(), Y.ravel()])\n", " \n", " Z = np.array(Z).reshape(X.shape)\n", " \n", " plt.pcolormesh(X, Y, Z, antialiased=True, cmap='Set3')\n", " \n", " centers = kmeans.cluster_centers_\n", " \n", " plt.plot(centers[:,0],centers[:,1],'kX',markersize=10,label='centroids')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/furnari/opt/anaconda3/lib/python3.9/site-packages/sklearn/base.py:465: UserWarning: X does not have valid feature names, but KMeans was fitted with feature names\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "plt.figure(figsize=(12,8))\n", "plot_kmeans_decision_boundary(data,kmeans)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Esempio con dataset DIGITS\n", " \n", "Proviamo adesso ad utilizzare un dataset più grande con campioni a più dimensioni. Consideriamo il dataset \"digits\" di cifre scritte a mano messo a disposizione da scikit-learn:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Numero di campioni: 1797, Numero di dimensioni: 64\n" ] } ], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "print(\"Numero di campioni: %d, Numero di dimensioni: %d\" % digits.data.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ricordiamo che ogni elemento del dataset è un vettore di 64 dimensioni che rappresenta una immagine $8 \\times 8$. Pertanto possiamo visualizzare ogni campione come una immagine mediante una operazione di _reshape_. Ad esempio:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(digits.data[0].reshape((8,8)),cmap='gray')\n", "plt.title(\"Etichetta: %d\" % digits.target[0])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Supponiamo per un attimo che il dataset non sia etichettato, ma supponiamo comunque di sapere che contiene immagini delle 10 cifre scritte a mano. Proviamo a utilizzare l'algoritmo K-Means per cercare di suddividere i dati in $10$ gruppi:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/furnari/opt/anaconda3/lib/python3.9/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", " super()._check_params_vs_input(X, default_n_init=10)\n" ] }, { "data": { "text/html": [ "
KMeans(n_clusters=10)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "KMeans(n_clusters=10)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans = KMeans(n_clusters=10)\n", "kmeans.fit(digits.data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'algoritmo KMeans ha trovato $10$ centroidi e ha assegnato ogni campione di training a uno dei centroidi. I centroidi hanno la stessa dimensionalità dei dati in input ($64$ elementi) e pertanto anche essi possono essere visti come delle immagini $8 \\times 8$. In particolare, ogni centroide è l'immagine media di tutte le immagini che sono state associate a quel cluster. Visualizziamo i 10 centroidi sotto forma di immagini:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,4))\n", "\n", "centroidi = kmeans.cluster_centers_\n", "\n", "for i in range(10):\n", " plt.subplot(2,5,i+1)\n", " plt.imshow(centroidi[i].reshape((8,8)),cmap='gray')\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ci aspetteremmo che il K-Means abbia messo in un dato cluster tutti e soli gli elementi appartenenti ad una data classe (ad esempio, un cluster dovrebbe contenere tutti e soli i campioni con etichetta \"0\"). In tal caso, si dice che il cluster \"è puro\". Diversi cluster possono avere diversi gradi di purezza." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 3**\n", ">\n", "> Guardando alle immagini dei centroidi, possiamo prevedere quali cluster sono più puri e quali lo sono meno?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Possiamo misurare la purezza di un cluster nel seguente modo:\n", " * Determiniamo l'etichetta più frequente tra quelle dei campioni di training assegnati al cluster;\n", " * Contiamo la frazione di elementi assegnati al cluster che abbiano etichetta corrispondente a quella più frequente.\n", "Vediamo come fare:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cluster 0. Most frequent label: 9. Purity: 0.58\n", "Cluster 1. Most frequent label: 0. Purity: 0.99\n", "Cluster 2. Most frequent label: 2. Purity: 0.84\n", "Cluster 3. Most frequent label: 8. Purity: 0.45\n", "Cluster 4. Most frequent label: 5. Purity: 0.87\n", "Cluster 5. Most frequent label: 6. Purity: 0.97\n", "Cluster 6. Most frequent label: 4. Purity: 0.99\n", "Cluster 7. Most frequent label: 3. Purity: 0.85\n", "Cluster 8. Most frequent label: 1. Purity: 0.60\n", "Cluster 9. Most frequent label: 7. Purity: 0.86\n" ] } ], "source": [ "from scipy.stats import mode\n", "cluster_assignments = kmeans.labels_\n", "\n", "purity = np.zeros(10)\n", "most_frequent_label = np.zeros(10)\n", "\n", "for c in range(10):\n", " training_labels = digits.target[cluster_assignments==c]\n", " most_frequent_label[c] = mode(training_labels).mode\n", " purity[c] = (training_labels==most_frequent_label[c]).mean()\n", " \n", " print(\"Cluster %d. Most frequent label: %d. Purity: %0.2f\" % (c,most_frequent_label[c],purity[c]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizziamo adesso queste informazioni insieme alle immagini relative ai centroidi:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,5))\n", "\n", "centroidi = kmeans.cluster_centers_\n", "\n", "for i in range(10):\n", " plt.subplot(2,5,i+1)\n", " plt.imshow(centroidi[i].reshape((8,8)),cmap='gray')\n", " plt.title(\"%d / %0.2f\" % (most_frequent_label[i],purity[i]))\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 4**\n", ">\n", "> Le previsioni fatte in precedenza corrispondono ai valori di purezza trovati? Perché alcuni cluster sono più puri e altri lo sono meno?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Density Estimation\n", "\n", "#### Non-Parametric Density Estimation\n", "\n", "##### Hexplots\n", "Hexplots are done in Python as follows using `seaborn`:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "# Load the iris dataset from seaborn\n", "iris = sns.load_dataset(\"iris\")\n", "\n", "# Create a hexbin plot for sepal length vs. sepal width\n", "plt.figure(figsize=(10, 8))\n", "\n", "# Hexbin plot\n", "sns.jointplot(data=iris, x=\"sepal_length\", y=\"sepal_width\", kind=\"hex\", cmap=\"Blues\")\n", "\n", "# Scatter plot\n", "sns.scatterplot(data=iris, x=\"sepal_length\", y=\"sepal_width\", alpha=0.7, color='gray', label='Data Points')\n", "\n", "\n", "plt.suptitle('Hexbin Plot for Sepal Length vs. Sepal Width', y=1.02)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, we can use `matplotlib`:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "\n", "# Load the iris dataset from seaborn\n", "iris = sns.load_dataset(\"iris\")\n", "\n", "# Create a hexbin plot for sepal length vs. sepal width\n", "plt.figure(figsize=(10, 8))\n", "\n", "# Hexbin plot\n", "hb = plt.hexbin(iris[\"sepal_length\"], iris[\"sepal_width\"], gridsize=20, cmap=\"Blues\", mincnt=1)\n", "\n", "# Add a colorbar\n", "cbar = plt.colorbar(hb)\n", "cbar.set_label('Count')\n", "\n", "# Scatter plot\n", "sns.scatterplot(data=iris, x=\"sepal_length\", y=\"sepal_width\", alpha=0.7, color='gray', label='Data Points')\n", "\n", "\n", "plt.title('Hexbin Plot for Sepal Length vs. Sepal Width')\n", "plt.xlabel('Sepal Length')\n", "plt.ylabel('Sepal Width')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Kernel Density Estimation\n", "Kernel Density Estimation can be performed using seaborn as shown in the following example:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "# Load the iris dataset from seaborn\n", "iris = sns.load_dataset(\"iris\")\n", "\n", "# Create a scatter plot with a 2D KDE plot for sepal length vs. sepal width\n", "plt.figure(figsize=(10, 8))\n", "\n", "\n", "\n", "# 2D KDE plot\n", "sns.kdeplot(data=iris, x=\"sepal_length\", y=\"sepal_width\", fill=True, cmap=\"Blues\", levels=5, label='2D KDE')\n", "\n", "# Scatter plot\n", "sns.scatterplot(data=iris, x=\"sepal_length\", y=\"sepal_width\", alpha=0.7, color='gray', label='Data Points')\n", "\n", "plt.title('Scatter Plot with 2D Kernel Density Estimation (KDE)')\n", "plt.xlabel('Sepal Length')\n", "plt.ylabel('Sepal Width')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Parametric Methods\n", "\n", "##### Fitting Known Distributions to Data using SciPy\n", "\n", "When working with empirical data, it's often valuable to model the underlying probability distribution to gain insights into the data's characteristics. SciPy, a scientific library for Python, provides a convenient `scipy.stats` module that offers various probability distributions for statistical modeling.\n", "\n", "While Scipy implements many distributions, we will see an example with the Gaussian distribution:\n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-1.988335448619584 5.021959091782125\n" ] } ], "source": [ "from scipy.stats import norm #the normal distribution\n", "\n", "np.random.seed(124) # random seed\n", "\n", "#generate a random sample\n", "sample=np.random.normal(-2,5,1000)\n", "\n", "# fit the gaussian to the sample\n", "mu, sigma = norm.fit(sample)\n", "print(mu,sigma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gaussian Mixture Models (GMM)\n", "\n", "L'algoritmo K-Means suddivide il training set in gruppi assegnando ognuno di essi ad un determinato centroide. Un'altra strategia consiste nel cercare di modellare la distribuzione multimodale dei dati e assegnare ogni dati alla moda più probabile. Volendo trovare $K$ clusters, supponiamo di modellare la distribuzione di dati come una mistura di $K$ Gaussiane (Mixture of Gaussians). In questo caso, la probabilità di un dato campione $\\mathbf{x}$ sarà data da:\n", "\n", "\\begin{equation}\n", "p(\\mathbf{x}) = \\sum_{k=1}^K \\pi_k \\mathcal{N}(\\mathbf{x}\\ |\\ \\mathbf{\\mu}_k, \\Sigma_k)\n", "\\end{equation}\n", "\n", "dove:\n", " * $\\pi_i$ sono i coefficienti della mistura di Gaussiane (i pesi delle singole Gaussiane);\n", " * $\\mathbf{\\mu}_k$ e $\\mathbf{\\sigma}_k$ sono le medie e covarianze delle singole Gaussiane.\n", " \n", "Ogni Gaussiana del modello rappresenta uno dei cluster, mentre i coefficienti $\\pi_i$ rappresentano \"l'importanza\" di ogni cluster. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il modello GMM è molto simile a quello offerto da K-Means ma con alcune importanti differenze:\n", " * Il modello GMM modella esplicitamente la distribuzione dei campioni in ingresso, permettendoci di calcolare per ogni campione il termine $p(x)$;\n", " * Il modello GMM effettua un \"soft assignment\" dei campioni ai cluster. A differenza di quanto avviene per K-Means, un campione non appartiene a un solo cluster (benché sia possibile determinare il cluster più probabile), ma ha una determinata probabilità di appartenere a ciascuno dei cluster considerati. Questo tipo di \"soft assignment\" permette di individuare i casi di incertezza (ad esempio nelle regioni di confine tra due cluster);\n", " * Il modello GMM modella ogni cluster con una distribuzione Gaussiana, mentre K-Means non determina esplicitamente le matrici di covarianza dei cluster, ma solo le medie. In un certo senso, è come se K-Means considerasse matrici di covarianza diagonali." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Torniamo al dataset Old Faithful e alleniamo un modello di tipo GMM su questi dati:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
GaussianMixture(n_components=2)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "GaussianMixture(n_components=2)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.mixture import GaussianMixture as GMM\n", "\n", "gmm = GMM(n_components=2)\n", "gmm.fit(faithful.data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il modello ha trovato i valori più opportuni per i parametri $\\mathbf{\\mu}_k$, $\\Sigma_k$ e $\\pi_k$. Vediamo come accedere a questi parametri:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Medie:\n", " [[ 0.70265943 0.66733937]\n", " [-1.27150812 -1.20759416]]\n", "\n", "Covarianze:\n", " [[[0.13035882 0.06049755]\n", " [0.06049755 0.19491776]]\n", "\n", " [[0.05317595 0.02811558]\n", " [0.02811558 0.18236361]]]\n", "\n", "Coefficienti:\n", " [0.64407305 0.35592695]\n" ] } ], "source": [ "print(\"Medie:\\n\",gmm.means_)\n", "print()\n", "print(\"Covarianze:\\n\",gmm.covariances_)\n", "print()\n", "print(\"Coefficienti:\\n\",gmm.weights_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Possiamo assegnare ogni punto al cluster più probabile come segue:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1\n", " 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0\n", " 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0\n", " 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1\n", " 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1\n", " 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0\n", " 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1\n", " 0 0 0 1 0 1 1 0 0 1 0 1 0]\n" ] } ], "source": [ "clusters = gmm.predict(faithful.data)\n", "print(clusters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Costruiamo un DataFrame e visualizziamo gli asssegnamenti:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "faithful_gmm = pd.DataFrame()\n", "faithful_gmm['X'] = faithful.data['eruptions']\n", "faithful_gmm['Y'] = faithful.data['waiting']\n", "faithful_gmm['C'] = clusters" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,8))\n", "plot2d(faithful_gmm)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizziamo le regioni di decisione trovate dal modello:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/furnari/opt/anaconda3/lib/python3.9/site-packages/sklearn/base.py:465: UserWarning: X does not have valid feature names, but GaussianMixture was fitted with feature names\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_gmm_decision_boundary(data, gmm):\n", " plot2d(data)\n", " X = np.linspace(data.X.min(), data.X.max(),200)\n", " Y = np.linspace(data.Y.min(), data.Y.max(),200)\n", " X,Y = np.meshgrid(X,Y)\n", " \n", " Z = gmm.predict(np.c_[X.ravel(), Y.ravel()])\n", " \n", " Z = np.array(Z).reshape(X.shape)\n", " \n", " plt.pcolormesh(X, Y, Z, antialiased=True, cmap='Set3')\n", " \n", " centers = gmm.means_\n", " \n", " plt.plot(centers[:,0],centers[:,1],'kX',markersize=10,label='centroids')\n", "\n", "plt.figure(figsize=(12,8))\n", "plot_gmm_decision_boundary(faithful_gmm,gmm)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 5**\n", ">\n", "> Si confronti il decision boundary trovato dal modello GMM con quello relativo al modello K-Means. Ci sono differenze?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Abbiamo detto che il modello GMM permette di effettuare un \"soft assignment\" calcolando le probabilità $p(\\mathbf{x}\\ |\\ z_k)$. Per accedere alle distribuzioni di probabilità, possiamo utilizzare il metodo `predict_proba`:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(272, 2)\n" ] } ], "source": [ "cluster_probabilities = gmm.predict_proba(faithful.data)\n", "print(cluster_probabilities.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Per ogni elemento del dataset è stato calcolato un vettore bidimensionale che rappresenta la distribuzione di probabilità a posteriori $p(\\mathbf{x}\\ |\\ z_k)$ per i due valori possibili di $k$. In pratica, il vettore ha componenti $[p(\\mathbf{x}\\ |\\ z_0=1),\\ p(\\mathbf{x}\\ |\\ z_1=1)]$. Evidenziamo nel plot visto sopra i punti che presentano incertezza:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/furnari/opt/anaconda3/lib/python3.9/site-packages/sklearn/base.py:465: UserWarning: X does not have valid feature names, but GaussianMixture was fitted with feature names\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "uncertain = cluster_probabilities.max(1)<0.999 #selezioniamo i punti a probabilità minore di 0.999\n", "\n", "plt.figure(figsize=(12,8))\n", "plot_gmm_decision_boundary(faithful_gmm,gmm)\n", "plt.scatter(faithful_gmm['X'].values[uncertain],faithful_gmm['Y'].values[uncertain],180,\n", " facecolors='none',edgecolors='k', label='uncertain p(x|z_k=1)<0.999)')\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 6**\n", ">\n", "> Dove si trovano i punti incerti? Perché?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ricordiamo che GMM modella i cluster come delle Gaussiane. Visualizziamo le due Gaussiane:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.stats import multivariate_normal as mnorm\n", "\n", "plt.figure(figsize=(12,8))\n", "\n", "#definiamo le due gaussiane multivariate\n", "g0 = mnorm(gmm.means_[0], gmm.covariances_[0])\n", "g1 = mnorm(gmm.means_[1], gmm.covariances_[1])\n", "\n", "#plottiamo i dati\n", "plot2d(data)\n", "\n", "#costruiamo una meshgrid \n", "X = np.linspace(data.X.min(), data.X.max(),200)\n", "Y = np.linspace(data.Y.min(), data.Y.max(),200)\n", "X,Y = np.meshgrid(X,Y)\n", "\n", "Z0 = g0.pdf(np.c_[X.ravel(), Y.ravel()]).reshape(X.shape)\n", "Z1 = g1.pdf(np.c_[X.ravel(), Y.ravel()]).reshape(X.shape)\n", "\n", "contour=plt.contour(X,Y,Z0)\n", "plt.clabel(contour, fontsize=14)\n", "\n", "contour=plt.contour(X,Y,Z1)\n", "plt.clabel(contour, fontsize=14)\n", "\n", "centers = gmm.means_\n", "\n", "plt.plot(centers[:,0],centers[:,1],'kX',markersize=10,label='centroids')\n", "\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal Component Analysis\n", "\n", "Iniziamo considerando un semplice set di dati 2D:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1000\n" ] }, { "data": { "text/html": [ "
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xy
06.403621-0.742478
12.782241-4.126082
26.354109-2.308102
35.499853-1.986180
45.492006-5.074300
\n", "
" ], "text/plain": [ " x y\n", "0 6.403621 -0.742478\n", "1 2.782241 -4.126082\n", "2 6.354109 -2.308102\n", "3 5.499853 -1.986180\n", "4 5.492006 -5.074300" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "set2d=pd.read_csv('http://iplab.dmi.unict.it/furnari/downloads/Simple2DSet.csv')\n", "print(len(set2d))\n", "set2d.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il dataset contiene $1000$ elementi. Ogni record del data frame corrisponde a una coppia di valori 2D ($x$,$y$). Visualizziamoli nello spazio 2D:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "plt.plot(set2d.x,set2d.y,'o')\n", "plt.axis('equal') #mantiene la stessa scala sui due assi\n", "plt.grid()\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 7**\n", "> \n", "> I dati presentano varianze diverse lungo le due variabili? Se no, quale variabile è caratterizzata da una varianza maggiore?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applichiamo la tecnica della Principal Component Analysis ai dati. A tale scopo, ultilizzeremo l'oggetto `PCA` della libreria `scikit-learn`:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'oggetto `PCA` segue l'API di scikit-learn e mette a disposizione due metodi principali:\n", " * `fit`: prende in input $X$ e permette di calcolare i coefficienti della PCA. Il metodo `fit` non richiede che le colonne di $X$ siano a media nulla. Verranno dunque calcolare e conservate le medie delle colonne di $X$ come parte del modello;\n", " * `transform`: prende in input una matrice di dati (es. $X$) e la trasforma sottraendo prima le medie delle colonne calcolate da `fit` e proiettando in seguito i dati mediante $Z=XW$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Otteniamo la matrice $X$ dal DataFrame e calcoliamo la PCA dai dati:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
PCA()
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "PCA()" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = set2d.values\n", "pca = PCA()\n", "pca.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizziamo le media delle variabili calcolate da `PCA`:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 4.98240411, -3.09411727])" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.mean_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Verifichiamo che esse siano in effetti le medie delle due variabili:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "x 4.982404\n", "y -3.094117\n", "dtype: float64" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "set2d.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizziamo i valori trovati per la matrice $W$. Questi vengono riferiti come \"components\" (le componenti principali):" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.64514558, 0.76405967],\n", " [ 0.76405967, -0.64514558]])" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "W=pca.components_\n", "W" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Possiamo utilizzare l'oggetto $PCA$ per trasformare i dati:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "Z = pca.transform(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Interpretazione dei coefficienti della PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I coefficienti della PCA hanno una interpretazione geometrica semplice da vedere nel caso 2D. Le due colonne della matrice $W$ rappresentano i due versori del nuovo sistema di riferimento individuato dalla PCA. Verifichiamo innanzitutto che si tratti di due versori:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1., 1.])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(W**2).sum(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plottiamo adesso i due versori sul grafico raffigurante i dati, facendoli partire dal punto medio dei dati. Utilizzeremo a questo scopo la funzione `quiver` di `matplotlib` che ci permtte di rappresentare dei vettori specificando le loro componenti. Per questioni di visualizzazione, passeremo un parametro di scala alla funzione:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "#specifico alpha=0.5 per visualizzare i punti in trasparenza\n", "plt.plot(set2d.x,set2d.y,'.',alpha=0.5)\n", "#uso la funzione quiver per plottere i vettori\n", "plt.quiver(set2d.x.mean(),set2d.y.mean(),W[0,0],W[1,0], scale=5, color='red', label='Prima componente')\n", "plt.quiver(set2d.x.mean(),set2d.y.mean(),W[0,1],W[1,1], scale=5, color='green', label='Seconda componente')\n", "#impongo che gli assi abbiano la stessa scala\n", "plt.axis('equal')\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I due vettori rappresentano le due componenti principali individuati dalla PCA. In particolare, la prima componente giace lungo la direzione di massima varianza, mentre la seconda componente è perpendicolare alla prima e giace lungo la seconda direzione di massima varianza (la direzione di minima varianza in questo caso).\n", "\n", "La proiezione dei dati verrà effettuato proiettando tutti i dati prima lungo l'asse individuato dalla prima componente e successivamente lungo l'asse individuato dalla seconda componente." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 8**\n", "> \n", "> Che tipo di trasformazione geometrica si può applicare ai dati per passare dal primo al secondo sistema di riferimento? Dopo la trasformazione, le distanze relative tra i punti sono preservate?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Rototraslazione dei dati" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plottiamo i dati e confrontiamoli con i vecchi:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "plt.figure(figsize=(12,6))\n", "plt.subplot(121)\n", "plt.title('Before PCA')\n", "plt.plot(X[:,0],X[:,1],'o')\n", "plt.axis('equal') #mantiene la stessa scala sui due assi\n", "plt.grid()\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "\n", "plt.subplot(122)\n", "plt.title('After PCA')\n", "plt.plot(Z[:,0],Z[:,1],'o')\n", "plt.axis('equal') #mantiene la stessa scala sui due assi\n", "plt.grid()\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 9**\n", "> \n", "> Quali sono le principali differenze tra i due set di dati? In quale dei due set la varianza lungo l'asse $x$ è massima? In quale dei due set si nota una correlazione lineare? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In pratica, i dati sono stati roto-traslati. In particolare, essi sono stati traslati lungo i due assi $x$ e $y$ in modo da avere media nulla e ruotati in modo che la varianza massima si trovi sull'asse $x$. Ciò fa anche in modo che i dati siano decorrelati." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Decorrelazione dei dati" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calcoliamo le matrici di covarianza dei due set di dati:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2.45531835 1.25551632]\n", " [1.25551632 2.88213855]]\n", "\n", "[[3.94225312e+00 1.67144688e-16]\n", " [1.67144688e-16 1.39520377e+00]]\n" ] } ], "source": [ "import numpy as np\n", "print(np.cov(X.T))\n", "print()\n", "print(np.cov(Z.T))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La matrice di covarianza di $Z$ non è perfettamente diagonale ma, come si può notare, gli elementi al di fuori della diagonale principale sono quasi nulli." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 10**\n", "> \n", "> Che caratteristiche ha la matrice di correlazione costruita con l'indice di correlazione di Pearson a partire da `Z`? Si utilizzi la funzione `corrcoef` di `numpy` per calcolarla." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Riduzione della dimensionalità\n", "Vediamo adesso un semplicissimo esempio di riduzione della dimensionalità sui dati 2D. Nello specifico, proietteremo i dati sulla prima componente principale. Per farlo, `scikit-learn` ci permette di specificare un parametro `n_components` al costruttore di `PCA`:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
PCA(n_components=1)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "PCA(n_components=1)" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca1d = PCA(n_components=1)\n", "pca1d.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vediamo quali componenti sono stati trovate:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.64514558, 0.76405967]])" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca1d.components_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si tratta della prima riga della matrice `W` nel caso della PCA con entrambe le componenti. Verifichiamolo:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.64514558 0.76405967]]\n", "[[ 0.64514558 0.76405967]\n", " [ 0.76405967 -0.64514558]]\n" ] } ], "source": [ "print(pca1d.components_)\n", "print(pca.components_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Effettuiamo la proiezione dei dati:" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 1)" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Z1 = pca1d.transform(X)\n", "Z1.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I valori ottenuti sono adesso unidimensionali. Tuttavia, in questa operazione, abbiamo perso dell'informazione. Possiamo misurare quanta varianza abbiamo perso dividendo la varianza dei dati proiettati per la varianza totale dei dati prima della trasformazione:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Percentuale di varianza mantenuta: 73.79%\n", "Percentuale di varianza persa: 26.21%\n" ] } ], "source": [ "#sommiamo le varianze delle due variabili per ottenere la varianza totale\n", "varianza_totale = set2d.x.var()+set2d.y.var()\n", "varianza_mantenuta = np.var(Z1)\n", "\n", "#moltiplichiamo per cento per ottenere un valore in percentuale\n", "print(\"Percentuale di varianza mantenuta: %0.2f%%\" % (varianza_mantenuta*100/varianza_totale))\n", "print(\"Percentuale di varianza persa: %0.2f%%\" % (100-varianza_mantenuta*100/varianza_totale))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In pratica, `scikit-learn` calcola per noi la percentuale di varianza \"spiegata\" dalla componente i-esima:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.7386014, 0.2613986])" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.explained_variance_ratio_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nella componente i-esima del vettore, è riportata la varianza spiegata dalla componente principale i-esima. Se vogliamo sapere quanta varianza manteniamo troncando alla i-esima componente, possiamo applicare `cumsum`:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.7386014, 1. ])" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.cumsum(pca.explained_variance_ratio_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In questo caso, troncando alla prima componente manteniamo circa il $73.86\\%$ dell'informazione. Troncando alla seconda componente (e dunque tenendole tutte), manteniamo il $100\\%$ dell'informazione." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 11**\n", "> \n", "> Perché manteniamo il $100\\%$ dell'informazione mantenendo le prime due componenti?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PCA per la compressione dei dati\n", "Vediamo adesso un semplice esempio di compressione dati mediante PCA. In particolare, considereremo il caso della compressione di immagini. Una immagine può essere vista come un dato ad alta dimensionalità, dove il numero di dimensioni è pari al numero di pixel. Ad esempio, una immagine RGB di dimensioni $640 \\times 480$ pixel, ha $3 \\cdot 640 \\cdot 480=921600$ dimensioni. Ci aspettiamo che in tutte queste dimensioni ci saranno delle informazioni ridondanti. Un metodo per comprimere le immagini, consiste nel suddividerle in blocchi di dimensione fissa (es. $8 \\times 8$). Ognuno di questi blocchetti costituirà un elemento che fa parte di una popolazione (la popolazione dei blocchetti $8 \\times 8$ dell'immagine. Supponendo che l'informazione nei blocchetti sia molto correlata, possiamo provare a comprimerla applicando la PCA alla popolazione dei blocchetti e scegliendo solo alcune componenti principali per rappresentare il contenuto dei blocchetti.\n", "\n", "Iniziamo caricando una immagine di esempio mediante `scikit-learn`:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dimensioni dell'immagine: (427, 640, 3)\n", "Numero di dimensioni: 819840\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_sample_image\n", "flower = load_sample_image('flower.jpg')\n", "print(\"Dimensioni dell'immagine:\",flower.shape)\n", "print(\"Numero di dimensioni:\",np.prod(flower.shape))\n", "plt.imshow(flower)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Divideremo l'immagine in blocchi RGB di dimensioni $8 \\times 8 \\times 3$ (si tratta di immagini RGB $8\\times 8$). Iniziamo trasformando l'immagine in un vettore monodimensionale:" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "819840\n" ] } ], "source": [ "flower_monodimensionale = flower.ravel()\n", "print(flower_monodimensionale.size)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calcoliamo quanti blocchi $8 \\times 8 \\times 3$ entrano nell'immagine:" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4270.0" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flower_monodimensionale.size/(8*8*3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Utiliziamo la funzione di numpy `split` per suddividere il vettore monodimensionale in $4270$ parti uguali. Questo metodo restituisce una lista. Utilizziamo `stack` di numpy per trasformare la lista di vettori in una matrice:" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4270, 192)" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tiles = np.split(flower.ravel(),4270)\n", "tiles=np.stack(tiles)\n", "tiles.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Abbiamo ottenuto $4270$ vettori di $192 = 8 \\times 8 \\times 3$ unità. Ognuno dei vettori è un blocchetto dell'immgine. Proviamo a visualizzarne qualcuno:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAArkAAACwCAYAAAALznZVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAAR2klEQVR4nO3dXYhc93nH8d8zb/uiXcWRLL9UciMbnJAUSm2WQOo2FIdC2rhJIL1wIIH6xlcJDgkEp9DL0qsGlVICQkkoxOCCE4pJTdJCkqbthWP5JQ6SLGELO1pHtqzIsl5W2tmdeXqxG1hbu5oze54z53/++n7A4F2JZ54585v/PHv26H/M3QUAAADkpFV3AwAAAEA0hlwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJCdThVF5818T0QhiygitSM3kLCgnwvaw5AyNgw6SJ24g9QOOESnV6Tzqx705IqxXsc1OzXJh7yBTfSlLSaqpfOXz7rHLIFF7do57Xv3zJeuY1EHoRX3+lrQ0uRhy0nMZ4AtL4fUkSTvXyldY/FiX+eurE78jdnqtL3dq2QU2Z4EN5zyoKbMElx3A9acQX9Fw9XBpoUqSdYeSX/fDijUiWlvfrAaUkeSvDsXUqczdzmkTvdqxIGWtDtm6Jakudnyx/uhkwGNjGt2Sq0//XAND7y50O39LCgnQbwV049F/jIqaDDzf/+/10IKjWHvnnk9+Q+fK12n2w76SJjuxtSR1Alavleu9kLqmGLqtH/9SkgdSer/+mjpGn/1bycCOhlfu9fR7rtvK1/IY9aC4TDuszBqqBx4zJug3Q5adwM/TyzgxOHZ44tb/hmXKwAAACA7DLkAAADIDkMuAAAAssOQCwAAgOwUGnLN7JNmdtzMXjazR6tuCohCdtFE5BZNRXaRkpFDrq39M7p/kfQXkj4i6fNm9pGqGwPKIrtoInKLpiK7SE2RM7kflfSyu590976kxyV9ptq2gBBkF01EbtFUZBdJKTLk7pV0asPXi+vfexcze9jMDpvZ4YtR3QHljMzuxtyqH7efMlDC2GvuuQtXJ9YccB1jZ3e4OphYc7jxFBlyN9vN+Jpd6t39oLsvuPtC+fvuACFGZndjbpXSXXdwIxt7zd21c3oCbQEjjZ3dVietG9UgL0WG3EVJd2z4ep+k31TTDhCK7KKJyC2aiuwiKUWG3Gck3W1md5pZT9KDkp6sti0gBNlFE5FbNBXZRVJG/n7W3VfN7EuSfiypLek77n6k8s6AksgumojcoqnILlJT6CJEd39K0lMV9wKEI7toInKLpiK7SAl3PAMAAEB2GHIBAACQHYZcAAAAZKeSjUF709Lv7y8/P0/Nxeyf15mJ22x66n1LIXWWVq7ZOnBbdnz4mn22t2XXnttD6kiSz+4uXaP3jz8P6GRcLQ3bM+XLeMzPjmabbTlZt6Dntul2muOLeRf9TnP362xfuay5X/2idJ3hTMx64r2QMpKk3lRUnZhCSysxN42Zu+3mkDqSdGlmf+kaNv1q6RrbfGQN293SVVpB79+Wxa0Dq92YEcvaUecjY9bdQSvuGPUDWhq2T2/5Z5zJBQAAQHYYcgEAAJAdhlwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJAdhlwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJAdhlwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJAdhlwAAABkhyEXAAAA2WHIBQAAQHY6VRTt3Xqz7vjqZ0vX6ZxdKt+MpP6pN0PqSJLdeUtInSutQUidq7+9FFLn9DtXQ+pI0tLF8se7v7oS0MmYzCSbCagzLF9DkruH1AllFlIm6qfrmG7WuMe8J2t51Xqzau3/w9Jlpmd2BjQjXVhaDqkjSYPpqZA6/WHQK7OjG1Lm/FTcOabeLXvKF5l+unyNbfB2W/353aXrTLVjxplhqx1SR5KutGJe475F9RTTTzdw4W23A4pd5zXjTC4AAACyw5ALAACA7DDkAgAAIDsMuQAAAMgOQy4AAACyw5ALAACA7Iwccs3sDjP7qZkdM7MjZvbIJBoDyiK7aCJyi6Yiu0hNkY3lViV9zd2fM7N5Sc+a2X+5+9GKewPKIrtoInKLpiK7SMrIM7nuftrdn1v//4uSjknaW3VjQFlkF01EbtFUZBepGeuaXDPbL+keSdfcGsXMHjazw2Z2+NzFuLtnARG2yu7G3Gq5hrusAddRdM39LWsuElM0u8OV1Yn3hhtH4SHXzOYkfV/SV9z9wnv/3N0PuvuCuy/smp+O7BEo5XrZ3ZhbTcXcrhOIMM6au5s1FwkZJ7utbszteIHNFBpyzayrtcA+5u4/qLYlIA7ZRRORWzQV2UVKiuyuYJK+LemYu3+z+paAGGQXTURu0VRkF6kpcib3PklflHS/mb2w/t9fVtwXEIHsoonILZqK7CIpIy+Gcff/lWQT6AUIRXbRROQWTUV2kRrueAYAAIDsMOQCAAAgOwy5AAAAyE4lG9QNri7pnZdeLF+oE3Npz+q8h9SRJD93KaROy2Oe22A15rmtrMTdCGFmrvyenVbHZV0umee5Mbn7IKhQTJlhTBlZK+693eQrCb03peUP3FW6zlWLeWX6Z86G1JGkN46fCKkzPx2zl/DllSshdabmeiF1JGm5X76nlaXLAZ2Mb9Du6NL8+0vXiflklrwVuBAE1RpGLU5Bc8eqx50fbaldusbQtq7BmVwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJAdhlwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJAdhlwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJAdhlwAAABkhyEXAAAA2WHIBQAAQHYYcgEAAJAdhlwAAABkp1NJVWtJ3enydbpWvoYkKaqOJHVjygS1NLV3JqTOnojXa93wP4+UrtG5OgjoZFxDuZZLV2mpHdBLLPdhTCGLqdNqxxwjs7j39sAj14nJWr1yWW+/+IvSdVYG/YBuJGvHfbTM3borpM7Vfszr25rbGVJnMB30WSJpbn6qdI321IsBnWxHS4PWbPkyUWtB0Bq3JuhzzDyoTnrrrg8jntvWNTiTCwAAgOww5AIAACA7DLkAAADIDkMuAAAAssOQCwAAgOwUHnLNrG1mz5vZD6tsCIhEbtFUZBdNRXaRinHO5D4i6VhVjQAVIbdoKrKLpiK7SEKhIdfM9kn6lKRD1bYDxCG3aCqyi6Yiu0hJ0TO5ByR9XdKWuySb2cNmdtjMDr+9tBLRG1DWAY2RW/XJLZJxQOOsuZdjbuIABDigsdbd8jfgAbYycsg1swcknXH3Z6/399z9oLsvuPvC+2fj7uQCbMd2cqseuUX9trXm7uhNqDtga9tbd8vfrQ3YSpEzufdJ+rSZvSrpcUn3m9n3Ku0KKI/coqnILpqK7CIpI4dcd/+Gu+9z9/2SHpT0E3f/QuWdASWQWzQV2UVTkV2khn1yAQAAkJ3OOH/Z3X8m6WeVdAJUhNyiqcgumorsIgWcyQUAAEB2GHIBAACQHYZcAAAAZGesa3KLap2/pOknf166zvQf/UFAN9L7PvdnIXUk6fx/Px1T6O3XQ8qsvLEaUqfrcVEY3BKwZ2dny33Eq2Mm67RLlxkOLaAZSR5UR5LaQT/PWtRziykTdqwlyYOaqoF1p9T6vQ+WrjM1HbNn6cxM3J7TF1cGIXU6rdmQOtMBa4QkLXvM85Kk5eXyr9vQatyv1sq/98xq+MwYKWjdTWxp8mHgsa543eVMLgAAALLDkAsAAIDsMOQCAAAgOwy5AAAAyA5DLgAAALLDkAsAAIDsMOQCAAAgOwy5AAAAyA5DLgAAALLDkAsAAIDsMOQCAAAgOwy5AAAAyA5DLgAAALLDkAsAAIDsMOQCAAAgOwy5AAAAyA5DLgAAALLTqaKozXU1/ce3lq4zsIsB3UhnfvQfIXUkydu9kDqdm24OqdOangmpc2VHTB1Jau3YUb7I1Nvla4zLJV/2mEIBLKaMJMk9rZ6i+vHhMKTOWrHm/sw/UFfvrN5Wus7rr5wI6EY6euq1kDqSdPzNt0Lq/PKVN0PqnFgchNRRL/DjN6CllTfPli+yLS7ZakCVqLUgcOGNErReRrHQYuVfN7/Oa9bcVR0AAADYAkMuAAAAssOQCwAAgOww5AIAACA7DLkAAADITqEh18xuMrMnzOwlMztmZh+rujEgAtlFE5FbNBXZRUqK7mHyT5J+5O5/bWY9SbMV9gREIrtoInKLpiK7SMbIIdfMdkr6uKS/kSR370vqV9sWUB7ZRRORWzQV2UVqilyucJektyR918yeN7NDZhaw2z9QObKLJiK3aCqyi6QUGXI7ku6V9C13v0fSZUmPvvcvmdnDZnbYzA6fuxJ4FyJg+0Zmd2Nu1V+po0fgvcZec89fuDzpHoHNjJ1d9TnRi+oUGXIXJS26+9PrXz+htRC/i7sfdPcFd1/YNcOmDUjCyOxuzK163Yk3CGxi7DX3pp2cLEMSxs6uer2JNogby8hp1N3fkHTKzD60/q1PSDpaaVdAALKLJiK3aCqyi9QU3V3hy5IeW/+XkiclPVRdS0AososmIrdoKrKLZBQact39BUkL1bYCxCO7aCJyi6Yiu0gJF88CAAAgOwy5AAAAyA5DLgAAALLDkAsAAIDsFN1dYSzD2Vkt3XvN1nhjs+5UQDdSpzcXUkeSloNuGLDiHlKn04nZY9DMQupI0sDapWt4t4a9E4cuu1L+9bVh0LGMvKdKUN48qI7FlFEr6lhL8mHMezvoqY3lpdfP6E/+7p9L1+kEha4VGF4LWE8kaeAxH3fejTk3ZJFJ6QQc76g35diG0nC5dBWLyq4HLrxBtaLW3bA6cctujOscZ87kAgAAIDsMuQAAAMgOQy4AAACyw5ALAACA7DDkAgAAIDsMuQAAAMgOQy4AAACyw5ALAACA7DDkAgAAIDsMuQAAAMgOQy4AAACyw5ALAACA7DDkAgAAIDsMuQAAAMgOQy4AAACyw5ALAACA7DDkAgAAIDvm7vFFzd6S9NqIv3azpLPhD7599DPaJHv6gLvvmdBjSWpsbqX0ekqtH4nsSum9Lqn1I6XXU9a5lchukNT6kRLJbiVDbhFmdtjdF2p58E3Qz2gp9jRpKR6D1HpKrR8pzZ4mLbVjkFo/Uno9pdZPXVI7DvQzWio9cbkCAAAAssOQCwAAgOzUOeQerPGxN0M/o6XY06SleAxS6ym1fqQ0e5q01I5Bav1I6fWUWj91Se040M9oSfRU2zW5AAAAQFW4XAEAAADZYcgFAABAdiY+5JrZJ83suJm9bGaPTvrxN+nnDjP7qZkdM7MjZvZI3T1Jkpm1zex5M/thAr3cZGZPmNlL68fpY3X3VIeUsktuiyG7aeV2vR+yWwDZJbtFpZTd1HI70Wtyzawt6YSkP5e0KOkZSZ9396MTa+Lanm6XdLu7P2dm85KelfTZOnta7+urkhYk7XT3B2ru5V8l/Y+7HzKznqRZdz9fZ0+Tllp2yW3hfm7o7KaW2/WeyG6xfsgu2S3aVzLZTS23kz6T+1FJL7v7SXfvS3pc0mcm3MO7uPtpd39u/f8vSjomaW+dPZnZPkmfknSozj7We9kp6eOSvi1J7t6/kRbaDZLKLrkdjexKSiy3EtktguxKIruFpJTdFHM76SF3r6RTG75eVM0B2cjM9ku6R9LTNbdyQNLXJQ1r7kOS7pL0lqTvrv865JCZ7ai7qRokm11yuyWym3BuJbJ7HWSX7BZ1QOlkN7ncTnrItU2+l8QeZmY2J+n7kr7i7hdq7OMBSWfc/dm6eniPjqR7JX3L3e+RdFlS7ddG1SDJ7JLb6yK7ieZWIrsjkF2yW6SP1LKbXG4nPeQuSrpjw9f7JP1mwj1cw8y6WgvsY+7+g5rbuU/Sp83sVa39euZ+M/tejf0sSlp099/9tPqE1kJ8o0kuu+R2JLKbYG4lslsA2SW7RaSW3eRyO+kh9xlJd5vZnesXJD8o6ckJ9/AuZmZau37kmLt/s85eJMndv+Hu+9x9v9aOz0/c/Qs19vOGpFNm9qH1b31CUq0X2dckqeyS20I9kd3EciuR3YI9kV2yO1Jq2U0xt51JPpi7r5rZlyT9WFJb0nfc/cgke9jEfZK+KOlXZvbC+vf+1t2fqq+l5HxZ0mPrC81JSQ/V3M/EJZhdclvMDZ3dBHMrkd2iyC7ZbaKkcsttfQEAAJAd7ngGAACA7DDkAgAAIDsMuQAAAMgOQy4AAACyw5ALAACA7DDkAgAAIDsMuQAAAMjO/wPab9xgC3TNVgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,8))\n", "plt.subplot(141)\n", "plt.imshow(tiles[1855].reshape(8,8,3))\n", "plt.subplot(142)\n", "plt.imshow(tiles[2900].reshape(8,8,3))\n", "plt.subplot(143)\n", "plt.imshow(tiles[1856].reshape(8,8,3))\n", "plt.subplot(144)\n", "plt.imshow(tiles[960].reshape(8,8,3))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 12**\n", "> \n", "> Si nota ridondanza nei valori contenuti nei blocchetti?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calcoliamo la PCA di tiles:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
PCA()
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "PCA()" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca=PCA()\n", "pca.fit(tiles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Verifichiamo quanta informazione si perde scartando le varie componenti:" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.72033322, 0.8054948 , 0.88473857, 0.91106289, 0.92773705,\n", " 0.94002709, 0.94742984, 0.95262262, 0.95724086, 0.96138203,\n", " 0.96493482, 0.96813026, 0.97074765, 0.97304417, 0.97502487,\n", " 0.97676849, 0.97827393, 0.97961611, 0.98080084, 0.98195037,\n", " 0.98298693, 0.98399279, 0.98491245, 0.98570784, 0.98649079,\n", " 0.98719466, 0.98779928, 0.98835152, 0.98888528, 0.98937606,\n", " 0.98983658, 0.99027875])" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.cumsum(pca.explained_variance_ratio_)[:32] #stampiamo solo i valori relativi alle prime 32 componenti" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Come possiamo vedere, troncare alla prima componente ci permette di mantenere circa il $72\\%$ dell'informazione, troncare alla seconda ci permette di mantenere circa l'$80\\%$ e così via, fino a $32$ componenti, che ci permettono di mantenere circa il $99\\%$ dell'informazione. Vediamo adesso come comprimere e ricostruire l'immagine. Sceglieremo le prime $32$ componenti, che preservano il $99\\%$ dell'informazione:" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4270, 32)" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca = PCA(n_components=32)\n", "pca.fit(tiles)\n", "compressed_tiles = pca.transform(tiles)\n", "compressed_tiles.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Abbiamo ottenuto una matrice molto più piccola di quella di partenza. Calcoliamo la percentuale di spazio salvato:" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Spazio salvato nella compressione: 83.33%\n" ] } ], "source": [ "print(\"Spazio salvato nella compressione: {:0.2f}%\".format(100-100*compressed_tiles.size/tiles.size))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ricostruiamo adesso l'immagine dalla sua rappresentazione compressa. Per fare ciò `scikit-learn` mette a disposizione il metodo `inverse_transform`:" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4270, 192)" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reconstructed_tiles = pca.inverse_transform(compressed_tiles)\n", "reconstructed_tiles.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adesso dobbiamo effettuare i passi inversi per ricomporre l'immagine dalle tiles. Iniziamo normalizzando i valori tra $0$ e $255$. Ciò è necessario per evitare warning (dopo la PCA, i valori RGB potrebbero avere un range leggermente diverso):" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "reconstructed_tiles = (reconstructed_tiles-reconstructed_tiles.min())\\\n", " /(reconstructed_tiles.max()-reconstructed_tiles.min())*255\n", "#convertiamo il tipo dei dati da float a uint8\n", "reconstructed_tiles=reconstructed_tiles.astype('uint8')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ricomponiamo l'immagine mediante un reshape e visualizziamola vicino all'originale:" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "reconstructed_flower=reconstructed_tiles.ravel().reshape(flower.shape)\n", "plt.figure(figsize=(12,8))\n", "plt.subplot(1,2,1)\n", "plt.title('Originale')\n", "plt.imshow(flower)\n", "plt.subplot(1,2,2)\n", "plt.title('Ricostruita')\n", "plt.imshow(reconstructed_flower)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 13**\n", "> \n", "> Si provi a comprimere e ricostruire l'immagine con un numero di componenti diverso. Esistono numeri che permettono di ottenere buoni risultati salvando comunque spazio?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PCA per la visualizzazione dei dati\n", "\n", "La PCA viene utilizzata anche per permettere di visualizzare dati multidimensionali, ad esempio per avere un'idea di come essi si distribuiscono nello spazio. Consideriamo ad esempio il dataset \"digits\" messo a disposizione della libreria **scikit-learn**:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_digits\n", "digits=load_digits()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si tratta di un dataset di immagini di dimensione $8 \\times 8$ pixel raffiguranti numeri scritti a mano. Visualizziamone la descrizione:" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".. _digits_dataset:\n", "\n", "Optical recognition of handwritten digits dataset\n", "--------------------------------------------------\n", "\n", "**Data Set Characteristics:**\n", "\n", " :Number of Instances: 1797\n", " :Number of Attributes: 64\n", " :Attribute Information: 8x8 image of integer pixels in the range 0..16.\n", " :Missing Attribute Values: None\n", " :Creator: E. Alpaydin (alpaydin '@' boun.edu.tr)\n", " :Date: July; 1998\n", "\n", "This is a copy of the test set of the UCI ML hand-written digits datasets\n", "https://archive.ics.uci.edu/ml/datasets/Optical+Recognition+of+Handwritten+Digits\n", "\n", "The data set contains images of hand-written digits: 10 classes where\n", "each class refers to a digit.\n", "\n", "Preprocessing programs made available by NIST were used to extract\n", "normalized bitmaps of handwritten digits from a preprinted form. From a\n", "total of 43 people, 30 contributed to the training set and different 13\n", "to the test set. 32x32 bitmaps are divided into nonoverlapping blocks of\n", "4x4 and the number of on pixels are counted in each block. This generates\n", "an input matrix of 8x8 where each element is an integer in the range\n", "0..16. This reduces dimensionality and gives invariance to small\n", "distortions.\n", "\n", "For info on NIST preprocessing routines, see M. D. Garris, J. L. Blue, G.\n", "T. Candela, D. L. Dimmick, J. Geist, P. J. Grother, S. A. Janet, and C.\n", "L. Wilson, NIST Form-Based Handprint Recognition System, NISTIR 5469,\n", "1994.\n", "\n", "|details-start|\n", "**References**\n", "|details-split|\n", "\n", "- C. Kaynak (1995) Methods of Combining Multiple Classifiers and Their\n", " Applications to Handwritten Digit Recognition, MSc Thesis, Institute of\n", " Graduate Studies in Science and Engineering, Bogazici University.\n", "- E. Alpaydin, C. Kaynak (1998) Cascading Classifiers, Kybernetika.\n", "- Ken Tang and Ponnuthurai N. Suganthan and Xi Yao and A. Kai Qin.\n", " Linear dimensionalityreduction using relevance weighted LDA. School of\n", " Electrical and Electronic Engineering Nanyang Technological University.\n", " 2005.\n", "- Claudio Gentile. A New Approximate Maximal Margin Classification\n", " Algorithm. NIPS. 2000.\n", "\n", "|details-end|\n" ] } ], "source": [ "print(digits.DESCR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le immagini dei caratteri sono contenuti sotto forma di vettori unidimensionali di $64$ elementi. Ad ogni elemento è associata una classe. Visualizziamo un elemento del dataset:" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Classe corrispondente: 0\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#gli elementi sono contenuti all'interno di digits.data\n", "#si tratta di vettori 1x64, che devono essere trasformati in vettori 8x8 per la visualizzazione\n", "plt.imshow(digits.data[0].reshape((8,8)),cmap='gray')\n", "#le classi sono contenute all'interno di digits.target\n", "print(\"Classe corrispondente:\",digits.target[0])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Per capire come i dati si distribuiscono nello spazio, potremmo visualizzarli nello spazio bidimensionale. Per farlo dobbiamo scartare $62$ dimensioni e tenerne $2$. Per essere sicuri di considerare le due dimensioni \"più importanti\", trasformiamo prima i dati mediante PCA per \"riordinarne\" le dimensioni:" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "#dato che vogliamo solo le prime due componenti principali\n", "#possiamo specificare n_components=2\n", "pca=PCA(n_components=2)\n", "pca.fit(digits.data)\n", "Y=pca.transform(digits.data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Effettuiamo dunque il plot, classe per classe:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "legend = []\n", "for c in np.unique(digits.target):\n", " plt.plot(Y[digits.target==c,0],Y[digits.target==c,1],'o')\n", " legend.append(c)\n", "\n", "plt.legend(legend)\n", "plt.grid()\n", "plt.axis('equal')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **🙋‍♂️ Domanda 14**\n", "> \n", "> Evinciamo qualche tipo di regolarità dei dati dal grafico sopra?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Esercizi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> 🧑‍💻 Esercizio 1\n", "> \n", "> Si consideri il dataset Boston. Si applichi il K-Means ai dati della variabile `medv`. Si inserisca dunque una nuova colonna `priceRange` nel dataset che contenga i cluster associati ai relativi valori di `medv`. Si suddivida il dataset in training e test set e si alleni un K-NN (trovare un K opportuno) per predire i valori di `priceRange` a partire da tutte le variabili tranne `medv`. Si discutano i risultati ottenuti." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> 🧑‍💻 Esercizio 2\n", "> \n", "> Si utilizzi un modello GMM per clusterizzare il dataset digits come fatto in precedenza nel caso del K-Means. Si visualizzino le immagini relative alle medie trovate e si calcoli la purezza di ogni cluster. I risultati ottenuti mediante GMM e K-Means sono qualitativamente diversi? Calcoli la purezza media del cluster nei due casi. Ci sono differenze?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> 🧑‍💻 Esercizio 3\n", "> \n", "> Si consideri il dataset Titanic. Si applichi la PCA a tutte le variabili eccetto `Survived`. Quante componenti bisogna mantenere per conservare il $90\\%$ della varianza?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> 🧑‍💻 Esercizio 4\n", "> \n", "> Si calcolino i coefficienti della PCA con il numero di componenti trovate nell'esercizio precedente. Si proiettino i dati mediante PCA. Si calcolino dunque due regressori logistici per predire i valori di `Survived` a partire dai dati originali e a partire dai dati trasformati. Quale dei due regressori lineari è migliore?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> 🧑‍💻 Esercizio 5\n", "> \n", "> Si proiettino i dati del dataset Titanic sulle due componenti principali. Si plottino i dati come punti nello spazio 2D distinguendo gli elementi appartenenti alla classe `Survived` e quelli non appartenenti a tale classe. Le classi sono ben separabili?" ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 2 }