diff --git a/anno3/apprendimento_automatico/esercizi/4/least_squares.ipynb b/anno3/apprendimento_automatico/esercizi/4/least_squares.ipynb index a23b382..2ec5fdf 100644 --- a/anno3/apprendimento_automatico/esercizi/4/least_squares.ipynb +++ b/anno3/apprendimento_automatico/esercizi/4/least_squares.ipynb @@ -19,7 +19,9 @@ "from scipy.optimize import fmin_bfgs\n", "import numpy as np\n", "from numpy.linalg import norm\n", - "from numpy.linalg import inv" + "from numpy.linalg import inv\n", + "from numpy import transpose, identity\n", + "from numpy import zeros" ] }, { @@ -31,32 +33,9 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[ 6.32000000e-03, 1.80000000e+01, 2.31000000e+00, ...,\n", - " 1.53000000e+01, 3.96900000e+02, 4.98000000e+00],\n", - " [ 2.73100000e-02, 0.00000000e+00, 7.07000000e+00, ...,\n", - " 1.78000000e+01, 3.96900000e+02, 9.14000000e+00],\n", - " [ 2.72900000e-02, 0.00000000e+00, 7.07000000e+00, ...,\n", - " 1.78000000e+01, 3.92830000e+02, 4.03000000e+00],\n", - " ..., \n", - " [ 6.07600000e-02, 0.00000000e+00, 1.19300000e+01, ...,\n", - " 2.10000000e+01, 3.96900000e+02, 5.64000000e+00],\n", - " [ 1.09590000e-01, 0.00000000e+00, 1.19300000e+01, ...,\n", - " 2.10000000e+01, 3.93450000e+02, 6.48000000e+00],\n", - " [ 4.74100000e-02, 0.00000000e+00, 1.19300000e+01, ...,\n", - " 2.10000000e+01, 3.96900000e+02, 7.88000000e+00]])" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "boston = datasets.load_boston()\n", "data = np.array(boston.data)" @@ -71,24 +50,23 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Boston House Prices dataset\n", + ".. _boston_dataset:\n", "\n", - "Notes\n", - "------\n", - "Data Set Characteristics: \n", + "Boston house prices dataset\n", + "---------------------------\n", + "\n", + "**Data Set Characteristics:** \n", "\n", " :Number of Instances: 506 \n", "\n", - " :Number of Attributes: 13 numeric/categorical predictive\n", - " \n", - " :Median Value (attribute 14) is usually the target\n", + " :Number of Attributes: 13 numeric/categorical predictive. Median Value (attribute 14) is usually the target.\n", "\n", " :Attribute Information (in order):\n", " - CRIM per capita crime rate by town\n", @@ -111,7 +89,7 @@ " :Creator: Harrison, D. and Rubinfeld, D.L.\n", "\n", "This is a copy of UCI ML housing dataset.\n", - "http://archive.ics.uci.edu/ml/datasets/Housing\n", + "https://archive.ics.uci.edu/ml/machine-learning-databases/housing/\n", "\n", "\n", "This dataset was taken from the StatLib library which is maintained at Carnegie Mellon University.\n", @@ -125,11 +103,10 @@ "The Boston house-price data has been used in many machine learning papers that address regression\n", "problems. \n", " \n", - "**References**\n", + ".. topic:: References\n", "\n", " - Belsley, Kuh & Welsch, 'Regression diagnostics: Identifying Influential Data and Sources of Collinearity', Wiley, 1980. 244-261.\n", " - Quinlan,R. (1993). Combining Instance-Based and Model-Based Learning. In Proceedings on the Tenth International Conference of Machine Learning, 236-243, University of Massachusetts, Amherst. Morgan Kaufmann.\n", - " - many more! (see http://archive.ics.uci.edu/ml/datasets/Housing)\n", "\n" ] } @@ -147,10 +124,8 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": true - }, + "execution_count": 4, + "metadata": {}, "outputs": [], "source": [ "t = np.ones(len(data)).reshape(len(data),1)\n", @@ -167,10 +142,8 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": true - }, + "execution_count": 5, + "metadata": {}, "outputs": [], "source": [ "X,y = data[0:400,:], target[0:400]\n", @@ -223,12 +196,192 @@ " where $y'_i$ is your model prediction for the i-th example, and $n$ is the number of examples." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "least squares: $(X^T X)^{-1}X^T y $" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "least_squares = lambda x,y: inv(x.T.dot(x)).dot(x.T.dot(y))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.91246374e-01, 4.42289967e-02, 5.52207977e-02, 1.71631351e+00,\n", + " -1.49957220e+01, 4.88773025e+00, 2.60921031e-03, -1.29480799e+00,\n", + " 4.84787214e-01, -1.54006673e-02, -8.08795026e-01, -1.29230427e-03,\n", + " -5.17953791e-01, 2.86725996e+01])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "least_squares(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ridge regression: ŵ = (XᵀX + λI)⁻¹Xᵀy" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def ridge_regression(x, y, lmb):\n", + " I = identity(len(X[0]))\n", + " return inv(x.T.dot(x) + lmb * I).dot(x.T).dot(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.92905668e-01, 4.45989360e-02, 4.80153773e-02, 1.70985336e+00,\n", + " -1.21920175e+01, 5.08501051e+00, 8.60369052e-04, -1.23267578e+00,\n", + " 4.67418151e-01, -1.51800832e-02, -7.48061272e-01, 7.58288257e-04,\n", + " -5.09848508e-01, 2.39216289e+01])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ridge_regression(X, y, 0.1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Lasso: w* = argmin_w (y-X·w)ᵀ(y-X·w) + λ‖w‖₁" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def lasso(w, x, y, lmb):\n", + " return (y - x.dot(w)).T.dot(y-x.dot(w)) + lmb * sum(w)\n", + "lasso_regression = lambda x, y, lmb: fmin_bfgs(lasso, zeros(len(x[0])), args= (x,y,lmb))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Warning: Desired error not necessarily achieved due to precision loss.\n", + " Current function value: 8923.891671\n", + " Iterations: 18\n", + " Function evaluations: 1047\n", + " Gradient evaluations: 69\n" + ] + }, + { + "data": { + "text/plain": [ + "array([-1.91323083e-01, 4.42279444e-02, 5.53631382e-02, 1.71490995e+00,\n", + " -1.50058027e+01, 4.89083693e+00, 2.62969748e-03, -1.29453598e+00,\n", + " 4.84604103e-01, -1.53869118e-02, -8.08349218e-01, -1.26958995e-03,\n", + " -5.17749228e-01, 2.86320548e+01])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lasso_regression(X,y,0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def S(actual, predicted):\n", + " from math import sqrt\n", + " return sqrt(sum((predicted[i] - actual[i])**2 for i in range(len(actual))) / len(actual))\n", + "predicted = lambda x, w: x.dot(w)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Warning: Desired error not necessarily achieved due to precision loss.\n", + " Current function value: 8922.270593\n", + " Iterations: 18\n", + " Function evaluations: 555\n", + " Gradient evaluations: 37\n", + "Least squares training set s statistics: 4.722840838326382\n", + "Least squares test set s statistics: 6.155792280412581\n", + "Ridge regression training set s statistics: 4.734160907532518\n", + "Ridge regression test set s statistics: 5.98737876633626\n", + "Lasso regression training set s statistics: 4.722840845344215\n", + "Lasso regression test set s statistics: 6.155671334655423\n" + ] + } + ], + "source": [ + "w_least = least_squares(X, y)\n", + "w_ridge = ridge_regression(X, y, 0.01)\n", + "w_ridge = ridge_regression(X, y, 0.2)\n", + "w_lasso = lasso_regression(X, y, 0.01)\n", + "print(\"Least squares training set s statistics:\", S(y, predicted(X, w_least)))\n", + "print(\"Least squares test set s statistics:\", S(y_test, predicted(X_test, w_least)))\n", + "print(\"Ridge regression training set s statistics:\", S(y, predicted(X, w_ridge)))\n", + "print(\"Ridge regression test set s statistics:\", S(y_test, predicted(X_test, w_ridge)))\n", + "print(\"Lasso regression training set s statistics:\", S(y, predicted(X, w_lasso)))\n", + "print(\"Lasso regression test set s statistics:\", S(y_test, predicted(X_test, w_lasso)))" + ] + }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [] } @@ -250,7 +403,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.5" + "version": "3.7.7" } }, "nbformat": 4, diff --git a/anno3/apprendimento_automatico/esercizi/4/svm.ipynb b/anno3/apprendimento_automatico/esercizi/4/svm.ipynb index d00b7ae..659f15e 100644 --- a/anno3/apprendimento_automatico/esercizi/4/svm.ipynb +++ b/anno3/apprendimento_automatico/esercizi/4/svm.ipynb @@ -9,7 +9,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -124,27 +124,29 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 64, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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L8W124B3Ay9OTJk2auOQ4PXr0YP369VR58UXO1qhB29692bZjh2m3dmY2EydO5NKFC6w2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\n7MNCppGOpEC65JJLeO2115gwYQLp6enExBTOri4xMTFYx7p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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -174,12 +176,305 @@ "[1] If you make two plots one after the other (in the same cell), the plots will be merged into a single one. You may want to use this feature to plot the support vectors on top of the scatter plot for the dataset." ] }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def ex(clf, X, y):\n", + " sv = clf.support_vectors_\n", + " weights = clf.dual_coef_\n", + "\n", + " # plot support vector\n", + " p = plt.scatter(X[:,0], X[:,1], c=y)\n", + "\n", + " ax = plt.gca()\n", + " xlim = ax.get_xlim()\n", + " ylim = ax.get_ylim()\n", + "\n", + " xx = np.linspace(xlim[0], xlim[1], 30)\n", + " yy = np.linspace(ylim[0], ylim[1], 30)\n", + " YY, XX = np.meshgrid(yy, xx)\n", + " xy = np.vstack([XX.ravel(), YY.ravel()]).T\n", + " Z = clf.decision_function(xy).reshape(XX.shape)\n", + "\n", + " ax.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5,\n", + " linestyles=['--', '-', '--'])\n", + "\n", + " ax.scatter(sv[:, 0], sv[:, 1], s=100,\n", + " linewidth=1, facecolors='none', edgecolors='k')\n", + " plt.show()\n", + "\n", + " print(f\"Support vectors: ⊕:{clf.n_support_[0]} ⊖:{clf.n_support_[1]}\")\n", + " print(f\"Numero totale di support vectors:{len(sv)}\")\n", + "\n", + " ev = clf.decision_function(sv)\n", + " merr = []\n", + " for i, ep in enumerate(ev):\n", + " ep = round(-1-ep if ep < 0 else 1-ep, 3)\n", + " if ep: merr.append(f\"\\tMargin error ⊖: {ep}\\n\")\n", + " print(f\"Margin error totali: {len(merr)}\")\n", + " print(''.join(merr))\n", + "\n", + " y_predicted = clf.predict(X)\n", + " classification_error = len(list(filter(lambda ic: ic[1] != y[ic[0]], enumerate(y_predicted))))\n", + " if not classification_error:\n", + " print(\"Nessun errore di classificazione\")" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Support vectors: ⊕:8 ⊖:9\n", + "Numero totale di support vectors:17\n", + "Margin error totali: 15\n", + "\tMargin error ⊖: -0.085\n", + "\tMargin error ⊖: -0.028\n", + "\tMargin error ⊖: -0.083\n", + "\tMargin error ⊖: -0.441\n", + "\tMargin error ⊖: -0.027\n", + "\tMargin error ⊖: -0.258\n", + "\tMargin error ⊖: -0.001\n", + "\tMargin error ⊖: -0.156\n", + "\tMargin error ⊖: 0.238\n", + "\tMargin error ⊖: 0.222\n", + "\tMargin error ⊖: 0.277\n", + "\tMargin error ⊖: 0.507\n", + "\tMargin error ⊖: 0.2\n", + "\tMargin error ⊖: 0.007\n", + "\tMargin error ⊖: 0.029\n", + "\n", + "Nessun errore di classificazione\n", + "\n" + ] + } + ], + "source": [ + "clf = SVC(kernel=\"linear\")\n", + "clf.fit(X,y)\n", + "ex(clf, X, y)\n", + "print()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Support vectors: ⊕:1 ⊖:2\n", + "Numero totale di support vectors:3\n", + "Margin error totali: 1\n", + "\tMargin error ⊖: -0.001\n", + "\n", + "Nessun errore di classificazione\n" + ] + } + ], + "source": [ + "svc = SVC(kernel = 'linear', C = 1000)\n", + "ex(svc.fit(X, y), X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Support vectors: ⊕:17 ⊖:16\n", + "Numero totale di support vectors:33\n", + "Margin error totali: 30\n", + "\tMargin error ⊖: -0.281\n", + "\tMargin error ⊖: -0.251\n", + "\tMargin error ⊖: -0.011\n", + "\tMargin error ⊖: -0.066\n", + "\tMargin error ⊖: -0.035\n", + "\tMargin error ⊖: -0.284\n", + "\tMargin error ⊖: -0.534\n", + "\tMargin error ⊖: -0.248\n", + "\tMargin error ⊖: -0.151\n", + "\tMargin error ⊖: -0.132\n", + "\tMargin error ⊖: -0.093\n", + "\tMargin error ⊖: -0.378\n", + "\tMargin error ⊖: -0.213\n", + "\tMargin error ⊖: -0.064\n", + "\tMargin error ⊖: -0.318\n", + "\tMargin error ⊖: 0.071\n", + "\tMargin error ⊖: 0.526\n", + "\tMargin error ⊖: 0.496\n", + "\tMargin error ⊖: 0.277\n", + "\tMargin error ⊖: 0.537\n", + "\tMargin error ⊖: 0.287\n", + "\tMargin error ⊖: 0.695\n", + "\tMargin error ⊖: 0.331\n", + "\tMargin error ⊖: 0.351\n", + "\tMargin error ⊖: 0.491\n", + "\tMargin error ⊖: 0.343\n", + "\tMargin error ⊖: 0.237\n", + "\tMargin error ⊖: 0.171\n", + "\tMargin error ⊖: 0.347\n", + "\tMargin error ⊖: 0.032\n", + "\n", + "Nessun errore di classificazione\n" + ] + } + ], + "source": [ + "svc = SVC(kernel = 'linear', C = 0.3)\n", + "ex(svc.fit(X, y), X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*Notiamo che maggiore l'indice di regolarizzazione, minore il numero di errori*\n", + "\n", + "Il tempo necessario al training non subisce in aumento sensibile" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Support vectors: ⊕:9 ⊖:7\n", + "Numero totale di support vectors:16\n", + "Margin error totali: 10\n", + "\tMargin error ⊖: -0.015\n", + "\tMargin error ⊖: -0.429\n", + "\tMargin error ⊖: -0.184\n", + "\tMargin error ⊖: -0.197\n", + "\tMargin error ⊖: 0.122\n", + "\tMargin error ⊖: 0.216\n", + "\tMargin error ⊖: 0.001\n", + "\tMargin error ⊖: 0.052\n", + "\tMargin error ⊖: 0.449\n", + "\tMargin error ⊖: 0.132\n", + "\n", + "Nessun errore di classificazione\n" + ] + } + ], + "source": [ + "rbf = SVC(kernel=\"rbf\")\n", + "rbf.fit(X,y)\n", + "ex(rbf, X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*come atteso, il rilsultato è lo stesso nonostante le classi vengano mappate su uno spazio ad infinite dimensioni.*\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Support vectors: ⊕:5 ⊖:5\n", + "Numero totale di support vectors:10\n", + "Margin error totali: 1\n", + "\tMargin error ⊖: 0.001\n", + "\n", + "Nessun errore di classificazione\n" + ] + } + ], + "source": [ + "rbf = SVC(kernel=\"rbf\", C=100)\n", + "rbf.fit(X,y)\n", + "ex(rbf, X, y)" + ] + }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [] } @@ -201,7 +496,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.5" + "version": "3.7.7" } }, "nbformat": 4, diff --git a/anno3/apprendimento_automatico/preparazione.org b/anno3/apprendimento_automatico/preparazione.org index 07be24f..2a64f37 100644 --- a/anno3/apprendimento_automatico/preparazione.org +++ b/anno3/apprendimento_automatico/preparazione.org @@ -122,12 +122,13 @@ invertibile Possiamo inquadrare questo problema come un problema di minimizzazione della norma di e. p = X·$\hat{w}$: L'intero problema consiste in: | $minimize_{\hat{w}}\Vert X \hat{w} - y \Vert_2^2$ +| minimize_ŵ ‖Xŵ-y‖²₂ La soluzione consiste nell'imporre l'ortogonalita` di e e C(X), ovvero Xᵀ·e=0; quindi: | Xᵀ·e = 0; e = y-X·ŵ | Xᵀ(y-X·ŵ) = 0 | Xᵀy = XᵀXŵ -| ŵ = (XᵀX)⁻¹Xᵀy +| ŵ = (XᵀX)⁻¹Xᵀy (LSE) **** Regularization evitare l'overfitting applicando dei constraint sul weight vector. Generalmente i pesi sono in media piccoli: ~shrinkage~. @@ -140,7 +141,7 @@ XᵀX per migliorare la stabilita` numerica dell'inversione Si puo` anche usare ~lasso~ nel caso di soluzioni sparse (least absolute shrinkage and selection operator) che sostituisce ‖w‖₂ con ‖w‖₁=∑|wᵢ| -| w* = argmin_w (y-X·w)ᵀ(y-X·w) + λ‖w‖1 +| w* = argmin_w (y-X·w)ᵀ(y-X·w) + λ‖w‖₁ Minimizzare la norma significa immaginare che X sia affetto da errore D e minimizzare l'errore: | (X+D)w = Xw + Dw @@ -335,7 +336,7 @@ mai viste. Permette di trasformare un sistema induttivo in deduttivo ** TODO Path Through hyp. space Vedi che vuole sapere -** TODO Trees +** Trees ** Rules Ordered rules are a chain of /if-then-else/. #+BEGIN_SRC