{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Bayesian regression su training set generato artificialmente. Mostra distribuzione a posteriori dei coefficienti e risultati sampling di modelli (rette di regressione)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.stats as st"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"plt.style.use('fivethirtyeight')\n",
"\n",
"plt.rcParams['font.family'] = 'sans-serif'\n",
"plt.rcParams['font.serif'] = 'Ubuntu'\n",
"plt.rcParams['font.monospace'] = 'Ubuntu Mono'\n",
"plt.rcParams['font.size'] = 10\n",
"plt.rcParams['axes.labelsize'] = 10\n",
"plt.rcParams['axes.labelweight'] = 'bold'\n",
"plt.rcParams['axes.titlesize'] = 10\n",
"plt.rcParams['xtick.labelsize'] = 8\n",
"plt.rcParams['ytick.labelsize'] = 8\n",
"plt.rcParams['legend.fontsize'] = 10\n",
"plt.rcParams['figure.titlesize'] = 12\n",
"plt.rcParams['image.cmap'] = 'jet'\n",
"plt.rcParams['image.interpolation'] = 'none'\n",
"plt.rcParams['figure.figsize'] = (12, 6)\n",
"plt.rcParams['lines.linewidth'] = 2\n",
"\n",
"# definisce un vettore di colori\n",
"colors = ['#008fd5', '#fc4f30', '#e5ae38', '#6d904f', '#8b8b8b', '#810f7c', '#137e6d', '#be0119', '#3b638c', '#af6f09']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Funzione base polinomiale di grado $d$"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"def vphi(x, d):\n",
" return np.array([x**i for i in range(d)]).T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generazione dataset"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"# numero di elementi da generare\n",
"n=50\n",
"\n",
"# genera la matrice delle features e il vettore target\n",
"# dominio della feature\n",
"domain=(0,2*np.pi)\n",
"# array delle feature generato uniformemente nel dominio\n",
"X=np.random.uniform(domain[0], domain[1], n)\n",
"\n",
"# genera il vettore target mediante la funzione f e l'aggiunta di rumore gaussiano\n",
"# funzione \n",
"def f(x):\n",
" return 0.7+0.25*x*np.sqrt(abs(np.sin(x)))\n",
"# sd del rumore\n",
"noise = .05\n",
"\n",
"#genera target\n",
"t=np.array([(f(v)+np.random.normal(0,noise,1))[0] for v in X]).reshape(-1,1)\n",
"\n",
"# genera immagine di X per la regressione\n",
"n_coeff = 2\n",
"Phi = vphi(X,n_coeff)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([3.72562405, 5.26510408, 1.15858832, 5.44138606, 5.00650013,\n",
" 3.92053294, 6.09948875, 4.4271845 , 0.27249027, 5.60159704])"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X[:10]"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1. , 3.72562405],\n",
" [1. , 5.26510408],\n",
" [1. , 1.15858832],\n",
" [1. , 5.44138606],\n",
" [1. , 5.00650013],\n",
" [1. , 3.92053294],\n",
" [1. , 6.09948875],\n",
" [1. , 4.4271845 ],\n",
" [1. , 0.27249027],\n",
" [1. , 5.60159704]])"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Phi[:10,:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Visualizza training set"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"ax.scatter(X, t, marker='o', alpha=.8)\n",
"plt.xlabel(u'$x$', fontsize=10)\n",
"plt.ylabel(u'$x$', fontsize=10)\n",
"plt.xticks(fontsize=10)\n",
"plt.yticks(fontsize=10)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Distribuzione a priori"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"# iperparametro per il prior\n",
"alfa=.02\n",
"# parametri del prior\n",
"mu_prior=np.zeros(2)\n",
"sigma_prior=np.eye(2)*alfa\n",
"\n",
"# parametro per la verosimiglianza\n",
"beta=9\n",
"\n",
"# distribuzione a priori dei parametri\n",
"func=np.vectorize(lambda x,y:st.multivariate_normal.pdf([x,y],mu_prior,sigma_prior))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Rappresentazione della distribuzione su una griglia"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"# definisce un array di 500 valori distribuiti lineramente tra -1 e 1 per la dimensione x\n",
"x = np.linspace(-1, 1, 200)\n",
"# definisce un array di 500 valori distribuiti lineramente tra -1 e 1 per la dimensione y\n",
"y = np.linspace(-1, 1, 200)\n",
"# definisce una griglia bidimensionale a partire dagli array per x e y\n",
"# in X i valori delle ascisse dei punti sulla griglia, in Y i valori delle ordinate\n",
"XX,YY = np.meshgrid(x, y)\n",
"# calcola in Z i valori della funzione su tutti i punti della griglia\n",
"Z=func(XX,YY)\n",
"\n",
"xx=np.linspace(min(X),max(X),500)\n",
"Phixx=vphi(xx,n_coeff)\n",
"\n",
"sample_prior=np.random.multivariate_normal(mu_prior, sigma_prior, 10)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"ax=plt.subplot(1,2,1)\n",
"imshow_handle = ax.imshow(Z, origin='lower', extent=(x.min(),x.max(), y.min(), y.max()), aspect='auto', alpha=.8)\n",
"ax.set_xlabel('$w_0$', fontsize=12)\n",
"ax.set_ylabel('$w_1$', fontsize=12)\n",
"plt.xlim(-1,1)\n",
"plt.ylim(-1,1)\n",
"ax.set_title('Parameter distribution (prior)')\n",
"ax.xaxis.set_tick_params(labelsize=8)\n",
"ax.yaxis.set_tick_params(labelsize=8)\n",
"ax.grid(visible=True, which='both', color='0.35')\n",
"ax=plt.subplot(1,2,2)\n",
"ax.set_title('Sampled lines')\n",
"ax.scatter(X, t, marker='o', alpha=1)\n",
"plt.xlabel('$x$', fontsize=10)\n",
"plt.ylabel('$y$', fontsize=10)\n",
"plt.xticks(fontsize=10)\n",
"plt.yticks(fontsize=10)\n",
"for w in sample_prior:\n",
" yy=Phixx.dot(w)\n",
" ax.plot(xx,yy, c=colors[1])\n",
"plt.suptitle(u'Prior')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"l = 5\n",
"X_t, t_t = Phi[:l,:], t[:l]\n",
"sigma_post = np.linalg.inv(sigma_prior+beta*np.dot(X_t.T,X_t))\n",
"mu_post=beta*sigma_post.dot(X_t.T.dot(t_t)).flatten()\n",
"sdx = np.sqrt(sigma_post[0,0])\n",
"sdy = np.sqrt(sigma_post[1,1])\n",
" \n",
"func=np.vectorize(lambda x,y:st.multivariate_normal.pdf([x,y],mu_post,sigma_post))\n",
"x = np.linspace(-1, 1, 200)\n",
"y = np.linspace(-1, 1, 200)\n",
"XX,YY = np.meshgrid(x, y)\n",
"Z=func(XX,YY)\n",
" \n",
"sample_post=np.random.multivariate_normal(mu_post, sigma_post, 10)\n",
" \n",
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"ax=plt.subplot(1,2,1)\n",
"ax.set_aspect(1)\n",
"ax.scatter(mu_post[0], mu_post[1], s=20, marker='s', color='b')\n",
"imshow_handle = ax.imshow(Z, origin='lower', extent=(x.min(),x.max(), y.min(), y.max()), aspect='auto', alpha=.8)\n",
"ax.set_xlabel('$w_0$', fontsize=12)\n",
"ax.set_ylabel('$w_1$', fontsize=12)\n",
"ax.set_title('Parameter distribution (posterior)')\n",
"ax.xaxis.set_tick_params(labelsize=8)\n",
"ax.yaxis.set_tick_params(labelsize=8)\n",
"ax.grid(visible=True, which='both', color='0.35')\n",
"ax=plt.subplot(1,2,2)\n",
"ax.set_title('Sampled lines')\n",
"ax.scatter(X[:l], t[:l], marker='o', alpha=.8, color=colors[7])\n",
"ax.scatter(X[l:], t[l:], marker='o', alpha=.8)\n",
"plt.xlabel(u'$x$', fontsize=10)\n",
"plt.ylabel('$y$', fontsize=10)\n",
"plt.xticks(fontsize=10)\n",
"plt.yticks(fontsize=10)\n",
"for w in sample_post:\n",
" yy=Phixx.dot(w)\n",
" ax.plot(xx,yy, c=colors[1])\n",
"plt.suptitle(u'Posterior per n={0:2d} elementi considerati'.format(l))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"l = 15\n",
"X_t, t_t = Phi[:l,:], t[:l]\n",
"sigma_post = np.linalg.inv(sigma_prior+beta*np.dot(X_t.T,X_t))\n",
"mu_post=beta*sigma_post.dot(X_t.T.dot(t_t)).flatten()\n",
"sdx = np.sqrt(sigma_post[0,0])\n",
"sdy = np.sqrt(sigma_post[1,1])\n",
" \n",
"func=np.vectorize(lambda x,y:st.multivariate_normal.pdf([x,y],mu_post,sigma_post))\n",
"x = np.linspace(-1, 1, 200)\n",
"y = np.linspace(-1, 1, 200)\n",
"XX,YY = np.meshgrid(x, y)\n",
"Z=func(XX,YY)\n",
" \n",
"sample_post=np.random.multivariate_normal(mu_post, sigma_post, 10)\n",
" \n",
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"ax=plt.subplot(1,2,1)\n",
"ax.set_aspect(1)\n",
"ax.scatter(mu_post[0], mu_post[1], s=20, marker='s', color='b')\n",
"imshow_handle = ax.imshow(Z, origin='lower', extent=(x.min(),x.max(), y.min(), y.max()), aspect='auto', alpha=.8)\n",
"ax.set_xlabel('$w_0$', fontsize=12)\n",
"ax.set_ylabel('$w_1$', fontsize=12)\n",
"ax.set_title('Parameter distribution (posterior)')\n",
"ax.xaxis.set_tick_params(labelsize=8)\n",
"ax.yaxis.set_tick_params(labelsize=8)\n",
"ax.grid(visible=True, which='both', color='0.35')\n",
"ax=plt.subplot(1,2,2)\n",
"ax.set_title('Sampled lines')\n",
"ax.scatter(X[:l], t[:l], marker='o', alpha=.8, color=colors[7])\n",
"ax.scatter(X[l:], t[l:], marker='o', alpha=.8)\n",
"plt.xlabel(u'$x$', fontsize=10)\n",
"plt.ylabel('$y$', fontsize=10)\n",
"plt.xticks(fontsize=10)\n",
"plt.yticks(fontsize=10)\n",
"for w in sample_post:\n",
" yy=Phixx.dot(w)\n",
" ax.plot(xx,yy, c=colors[1])\n",
"plt.suptitle(u'Posterior per n={0:2d} elementi considerati'.format(l))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"l = 30\n",
"X_t, t_t = Phi[:l,:], t[:l]\n",
"sigma_post = np.linalg.inv(sigma_prior+beta*np.dot(X_t.T,X_t))\n",
"mu_post=beta*sigma_post.dot(X_t.T.dot(t_t)).flatten()\n",
"sdx = np.sqrt(sigma_post[0,0])\n",
"sdy = np.sqrt(sigma_post[1,1])\n",
" \n",
"func=np.vectorize(lambda x,y:st.multivariate_normal.pdf([x,y],mu_post,sigma_post))\n",
"x = np.linspace(-1, 1, 200)\n",
"y = np.linspace(-1, 1, 200)\n",
"XX,YY = np.meshgrid(x, y)\n",
"Z=func(XX,YY)\n",
" \n",
"sample_post=np.random.multivariate_normal(mu_post, sigma_post, 10)\n",
" \n",
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"ax=plt.subplot(1,2,1)\n",
"ax.set_aspect(1)\n",
"ax.scatter(mu_post[0], mu_post[1], s=20, marker='s', color='b')\n",
"imshow_handle = ax.imshow(Z, origin='lower', extent=(x.min(),x.max(), y.min(), y.max()), aspect='auto', alpha=.8)\n",
"ax.set_xlabel('$w_0$', fontsize=12)\n",
"ax.set_ylabel('$w_1$', fontsize=12)\n",
"ax.set_title('Parameter distribution (posterior)')\n",
"ax.xaxis.set_tick_params(labelsize=8)\n",
"ax.yaxis.set_tick_params(labelsize=8)\n",
"ax.grid(visible=True, which='both', color='0.35')\n",
"ax=plt.subplot(1,2,2)\n",
"ax.set_title('Sampled lines')\n",
"ax.scatter(X[:l], t[:l], marker='o', alpha=.8, color=colors[7])\n",
"ax.scatter(X[l:], t[l:], marker='o', alpha=.8)\n",
"plt.xlabel(u'$x$', fontsize=10)\n",
"plt.ylabel('$y$', fontsize=10)\n",
"plt.xticks(fontsize=10)\n",
"plt.yticks(fontsize=10)\n",
"for w in sample_post:\n",
" yy=Phixx.dot(w)\n",
" ax.plot(xx,yy, c=colors[1])\n",
"plt.suptitle(u'Posterior per n={0:2d} elementi considerati'.format(l))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
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