diff --git a/examples/Diagnostics for approximate likelihood ratio.ipynb b/examples/Diagnostics for approximate likelihood ratio.ipynb deleted file mode 100644 index 6a63461..0000000 --- a/examples/Diagnostics for approximate likelihood ratio.ipynb +++ /dev/null @@ -1,802 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Diagnostics for approximate likelihood ratios\n", - "\n", - "Kyle Cranmer, Juan Pavez, Gilles Louppe, March 2016.\n", - "\n", - "This is an extension of the example in [Parameterized inference from multidimensional data](./Parameterized%20inference%20from%20multidimensional%20data.ipynb). \n", - "To aid in visualization, we restrict to a 1-dimensional slice of\n", - "the likelihood along $\\alpha$ with $\\beta=-1$. We consider three situations: i)\n", - "a poorly trained, but well calibrated classifier; ii) a well trained, but poorly\n", - "calibrated classifier; and iii) a well trained, and well calibrated classifier.\n", - "For each case, we employ two diagnostic tests. The first checks for independence\n", - "of $-2\\log\\Lambda(\\theta)$ with respect to changes in the reference value\n", - "$\\theta_1$. The second uses a\n", - "classifier to distinguish between samples from $p(\\mathbf{x}|\\theta_0)$ and\n", - "samples from $p(\\mathbf{x}|\\theta_1)$ weighted according to $r(\\mathbf{x};\n", - "\\theta_0, \\theta_1)$. " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Couldn't import dot_parser, loading of dot files will not be possible.\n" - ] - } - ], - "source": [ - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "#plt.set_cmap(\"viridis\")\n", - "\n", - "import numpy as np\n", - "import theano\n", - "from scipy.stats import chi2\n", - "from itertools import product\n", - "\n", - "np.random.seed(314)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Create model and generate artificial dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "from carl.distributions import Join\n", - "from carl.distributions import Mixture\n", - "from carl.distributions import Normal\n", - "from carl.distributions import Exponential\n", - "from carl.distributions import LinearTransform\n", - "from sklearn.datasets import make_sparse_spd_matrix\n", - "\n", - "import pdb\n", - "\n", - "# Parameters\n", - "true_A = 1.\n", - "A = theano.shared(true_A, name=\"A\")\n", - "\n", - "# Build simulator\n", - "R = make_sparse_spd_matrix(5, alpha=0.5, random_state=7)\n", - "\n", - "p0 = LinearTransform(Join(components=[\n", - " Normal(mu=A, sigma=1),\n", - " Normal(mu=-1, sigma=3),\n", - " Mixture(components=[Normal(mu=-2, sigma=1),\n", - " Normal(mu=2, sigma=0.5)]),\n", - " Exponential(inverse_scale=3.0),\n", - " Exponential(inverse_scale=0.5)]), R)\n", - "\n", - "# Define p1 at fixed arbitrary value A=0\n", - "p1s = []\n", - "p1_params = [(0,-1),(1,-1),(0,1)]\n", - "for p1_p in p1_params:\n", - " p1s.append(LinearTransform(Join(components=[\n", - " Normal(mu=p1_p[0], sigma=1),\n", - " Normal(mu=p1_p[1], sigma=3),\n", - " Mixture(components=[Normal(mu=-2, sigma=1),\n", - " Normal(mu=2, sigma=0.5)]),\n", - " Exponential(inverse_scale=3.0),\n", - " Exponential(inverse_scale=0.5)]), R))\n", - "p1 = p1s[0]\n", - "# Draw data\n", - "X_true = p0.rvs(500, random_state=314) " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Known likelihood setup" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "('Exact MLE =', array([ 1.01185166]))\n" - ] - } - ], - "source": [ - "# Minimize the exact LR\n", - "from scipy.optimize import minimize\n", - "p1 = p1s[2]\n", - "def nll_exact(theta, X):\n", - " A.set_value(theta[0])\n", - " return (p0.nnlf(X) - p1.nnlf(X)).sum()\n", - "\n", - "r = minimize(nll_exact, x0=[0], args=(X_true,))\n", - "exact_MLE = r.x\n", - "\n", - "print(\"Exact MLE =\", exact_MLE)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Exact LR\n", - "A.set_value(true_A)\n", - "nlls = []\n", - "As_ = []\n", - "bounds = [(true_A - 0.30, true_A + 0.30)]\n", - "As = np.linspace(bounds[0][0],bounds[0][1], 100)\n", - "nll = [nll_exact([a], X_true) for a in As]\n", - "nll = np.array(nll)\n", - "nll = 2. * (nll - r.fun)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(As, nll)\n", - "plt.xlabel(r\"$\\alpha$\")\n", - "plt.title(r\"$-2 \\log L(\\theta) / L(\\theta_{MLE}))$\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Likelihood-free setup\n", - "Here we create the data to train a parametrized classifier" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Build classification data\n", - "from carl.learning import make_parameterized_classification\n", - "\n", - "bounds = [(-3, 3), (-3, 3)]\n", - "\n", - "clf_parameters = [(1000,100000),(1000000,500),(1000000,100000)]\n", - "X = [0]*3*3\n", - "y = [0]*3*3\n", - "\n", - "\n", - "\n", - "for k,(param,p1) in enumerate(product(clf_parameters,p1s)):\n", - " X[k], y[k] = make_parameterized_classification(\n", - " p0, p1,\n", - " param[0], \n", - " [(A, np.linspace(bounds[0][0],bounds[0][1], num=30))],\n", - " random_state=0)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/juanpavez/Library/Python/2.7/lib/python/site-packages/sklearn/cross_validation.py:43: DeprecationWarning: This module has been deprecated in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n", - " \"This module will be removed in 0.20.\", DeprecationWarning)\n" - ] - } - ], - "source": [ - "# Train parameterized classifier\n", - "from carl.learning import as_classifier\n", - "from carl.learning import make_parameterized_classification\n", - "from carl.learning import ParameterizedClassifier\n", - "from sklearn.neural_network import MLPRegressor\n", - "from sklearn.pipeline import make_pipeline\n", - "from sklearn.preprocessing import StandardScaler\n", - "from sklearn.model_selection import RandomizedSearchCV\n", - "clfs = []\n", - "for k,_ in enumerate(product(clf_parameters,p1s)):\n", - " clfs.append(ParameterizedClassifier(\n", - " make_pipeline(StandardScaler(), \n", - " as_classifier(MLPRegressor(learning_rate=\"adaptive\", \n", - " hidden_layer_sizes=(40, 40),\n", - " tol=1e-6,\n", - " random_state=0))),\n", - " [A]))\n", - " clfs[k].fit(X[k], y[k])" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "from carl.learning import CalibratedClassifierCV\n", - "from carl.ratios import ClassifierRatio\n", - "\n", - "def vectorize(func,n_samples,clf,p1):\n", - " def wrapper(X):\n", - " v = np.zeros(len(X))\n", - " \n", - " for i, x_i in enumerate(X):\n", - " v[i] = func(x_i,n_samples=n_samples,clf=clf, p1=p1)\n", - " \n", - " return v.reshape(-1, 1)\n", - " \n", - " return wrapper\n", - "\n", - "def objective(theta, random_state=0, n_samples=100000, clf=clfs[0],p1=p1s[0]): \n", - " \n", - " # Set parameter values \n", - " A.set_value(theta[0])\n", - " # Fit ratio\n", - " ratio = ClassifierRatio(CalibratedClassifierCV(\n", - " base_estimator=clf, \n", - " cv=\"prefit\", # keep the pre-trained classifier\n", - " method=\"histogram\", bins=50))\n", - "\n", - " X0 = p0.rvs(n_samples=n_samples)\n", - " X1 = p1.rvs(n_samples=n_samples, random_state=random_state)\n", - " X = np.vstack((X0, X1))\n", - " y = np.zeros(len(X))\n", - " y[len(X0):] = 1\n", - "\n", - " ratio.fit(X, y)\n", - " \n", - " # Evaluate log-likelihood ratio\n", - " r = ratio.predict(X_true, log=True)\n", - " value = -np.mean(r[np.isfinite(r)]) # optimization is more stable using mean\n", - " # this will need to be rescaled by len(X_true) \n", - " \n", - " return value" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we use a Bayesian optimization procedure to create a smooth surrogate of the approximate likelihood." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n", - "*Optimization completed:\n", - " -Maximum number of iterations reached.\n" - ] - } - ], - "source": [ - "from GPyOpt.methods import BayesianOptimization\n", - "solvers = []\n", - "for k,(param,p1) in enumerate(product(clf_parameters,p1s)):\n", - " clf = clfs[k]\n", - " n_samples = param[1]\n", - " bounds = [(-3, 3)]\n", - " solvers.append(BayesianOptimization(vectorize(objective,n_samples,clf,p1), bounds))\n", - " solvers[k].run_optimization(max_iter=50, true_gradients=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "('Approx. MLE =', array([ 1.1567223]))\n", - "('Approx. MLE =', array([ 1.12968218]))\n", - "('Approx. MLE =', array([ 1.27133084]))\n", - "('Approx. MLE =', array([ 1.09549403]))\n", - "('Approx. MLE =', array([ 0.91981054]))\n", - "('Approx. MLE =', array([ 0.77314181]))\n", - "('Approx. MLE =', array([ 1.02540673]))\n", - "('Approx. MLE =', array([ 1.00016057]))\n", - "('Approx. MLE =', array([ 1.0148428]))\n" - ] - } - ], - "source": [ - "approx_MLEs = []\n", - "for k,_ in enumerate(product(clf_parameters,p1s)):\n", - " solver = solvers[k]\n", - " approx_MLE = solver.x_opt\n", - " approx_MLEs.append(approx_MLE)\n", - " print(\"Approx. MLE =\", approx_MLE)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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DLFy4kDvuuINPP/2U1NRUPv/8c1avXs3dd9/NF198cci5unTpQu/evcnMLD/G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\nqupr3vMmAkuAS7z9Crysqj95F89MqoD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JvFrrbFptoxqj1z8xZIQ4cipj/MzsPDNbbGZ3V1jeZWYvmNldye24VmdMSwz7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\nrYwbN4G5cxuBoBFa6DFybYfVGE3K5zUJOZVRkiQJnwVlDIc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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "solver.plot_convergence()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "('GP MLE =', array([ 1.15409679]))\n", - "('GP MLE =', array([ 1.13815972]))\n", - "('GP MLE =', array([ 1.25892465]))\n", - "('GP MLE =', array([ 1.03389187]))\n", - "('GP MLE =', array([ 0.93057811]))\n", - "('GP MLE =', array([ 0.7587189]))\n", - "('GP MLE =', array([ 1.01290299]))\n", - "('GP MLE =', array([ 1.00689144]))\n", - "('GP MLE =', array([ 0.99879448]))\n" - ] - } - ], - "source": [ - "# Minimize the surrogate GP approximate of the approximate LR\n", - "rs = []\n", - "solver = solvers[0]\n", - "\n", - "for k,_ in enumerate(product(clf_parameters,p1s)):\n", - " def gp_objective(theta):\n", - " theta = theta.reshape(1, -1)\n", - " return solvers[k].model.predict(theta)[0][0]\n", - "\n", - " r = minimize(gp_objective, x0=[0])\n", - " rs.append(r)\n", - " gp_MLE = r.x\n", - "\n", - " print(\"GP MLE =\", gp_MLE)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "#bounds = [(exact_MLE[0] - 0.16, exact_MLE[0] + 0.16)]\n", - "\n", - "approx_ratios = []\n", - "gp_ratios = []\n", - "gp_std = []\n", - "gp_q1 = []\n", - "gp_q2 = []\n", - "n_points = 30\n", - "\n", - "for k,(param,p1) in enumerate(product(clf_parameters,p1s)):\n", - " clf = clfs[k]\n", - " n_samples = param[1]\n", - " solver = solvers[k]\n", - " #As = np.linspace(*bounds[0], 100)\n", - " nll_gp, var_gp = solvers[k].model.predict(As.reshape(-1, 1))\n", - " nll_gp = 2. * (nll_gp - rs[k].fun) * len(X_true)\n", - " gp_ratios.append(nll_gp)\n", - " # STD\n", - " std_gp = np.sqrt(4*var_gp*len(X_true)*len(X_true))\n", - " std_gp[np.isnan(std_gp)] = 0.\n", - " gp_std.append(std_gp)\n", - " # 95% CI\n", - " q1_gp, q2_gp = solvers[k].model.predict_quantiles(As.reshape(-1, 1))\n", - " q1_gp = 2. * (q1_gp - rs[k].fun) * len(X_true)\n", - " q2_gp = 2. * (q2_gp - rs[k].fun) * len(X_true)\n", - " gp_q1.append(q1_gp)\n", - " gp_q2.append(q2_gp)\n", - "\n", - " #nll_approx = np.zeros(n_points)\n", - "\n", - " #approx = [objective([a]) for a in np.linspace(*bounds[0], n_points)]\n", - " #approx = [objective([a],n_samples=n_samples,clf=clf,p1=p1) for a \n", - " # in np.linspace(bounds[0][0],bounds[0][1], n_points)]\n", - "\n", - " #approx = np.array(approx)\n", - " #approx = 2. * (approx - approx.min()) * len(X_true)\n", - " #nll_approx = approx\n", - " #approx_ratios.append(nll_approx)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Plots for the first diagonstic: $\\theta_1$-independence" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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30Lf8f2GNXXnnHZGRI4udKCgQadFCxMIvGWdRHT4T5h7y5WlzJLm5udKyZUsp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\nB3t83Up7JSVVJQyIG9CqTiKvPI/1h9YTFRx1kibSj2V2njp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e01HsyRYfH096enqNGt03U2mqJNBHnWfselcQUsqdQogOtQ4/BAy78XoFsIMm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\nO8QHryX97QCd8fc/ifppGcefe/hv1yWbkrmn2z08u+pZbA71JUI4HPD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MYe3atTg6Ojbomr7//nsiIyOZO3cuOp2Ol156iQkTJjQor9qYTNeaM3U6HVOn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\nvMqn753azmAhBDEhMYToQ/jx6I9szNlIUVXRWU0UNoeNzUc2sz1/O6H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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bounds = [(true_A - 0.30, true_A + 0.30)]\n", - "for k,_ in enumerate(clf_parameters):\n", - " fig = plt.figure()\n", - " ax = fig.add_subplot(1,1,1)\n", - " ax.plot(As, nll, label=\"Exact\")\n", - " #plt.plot(np.linspace(*bounds[0], n_points), nll_approx - , label=\"approx.\")\n", - " #plt.plot(np.linspace(bounds[0][0],bounds[0][1], n_points), nll_approx , label=\"approx.\")\n", - " ax.plot(As, gp_ratios[3*k], label=r\"Approx., $\\theta_1=(\\alpha=0,\\beta=-1)$\")\n", - " ax.plot(As, gp_ratios[3*k+1], label=r\"Approx., $\\theta_1=(\\alpha=1,\\beta=-1)$\")\n", - " ax.fill_between(As,(gp_ratios[3*k] - gp_std[3*k]).ravel(),(gp_ratios[3*k] + gp_std[3*k]).ravel(),\n", - " color='g',alpha=0.2)\n", - " ax.plot(As, gp_ratios[3*k+2], label=r\"Approx., $\\theta_1=(\\alpha=0,\\beta=1)$\")\n", - " handles, labels = ax.get_legend_handles_labels()\n", - " ax.set_xlabel(r\"$\\alpha$\")\n", - " ax.set_ylabel(r\"$-2 \\log \\Lambda(\\theta)$\")\n", - " #plt.legend()\n", - " p5 = plt.Rectangle((0, 0), 0.2, 0.2, fc=\"green\",alpha=0.2,edgecolor='none')\n", - " handles.insert(4,p5)\n", - " labels.insert(4,r\"$\\pm 1 \\sigma$, $\\theta_1=(\\alpha=0,\\beta=-1)$\")\n", - " handles[1],handles[-2] = handles[-2],handles[1]\n", - " labels[1],labels[-2] = labels[-2],labels[1]\n", - "\n", - " ax.legend(handles,labels)\n", - " ax.set_ylim(0, 14)\n", - " ax.set_xlim(bounds[0][0],bounds[0][1])\n", - " plt.savefig('likelihood_comp_{0}.pdf'.format(k))\n", - " plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We show the posterior mean of a Gaussian processes resulting\n", - "from Bayesian optimization of the raw approximate likelihood. In addition, the standard deviation of the Gaussian process\n", - "is shown for one of the $\\theta_1$ reference points to indicate the size of\n", - "these statistical fluctuations. It is clear that in the well calibrated cases\n", - "that these fluctuations are small, while in the poorly calibrated case these\n", - "fluctuations are large. Moreover, in the first case we see that in the poorly\n", - "trained, well calibrated case the classifier $\\hat{s}(\\mathbf{x}; \\theta_0,\n", - "\\theta_1)$ has a significant dependence on the $\\theta_1$ reference point. In\n", - "contrast, in the second case the likelihood curves vary significantly, but\n", - "this is comparable to the fluctuations expected from the calibration procedure.\n", - "Finally, the third case shows that in the well trained, well calibrated case\n", - "that the likelihood curves are all consistent with the exact likelihood within\n", - "the estimated uncertainty band of the Gaussian process. \n", - "\n", - "## The second diagnostic - ROC curves for a discriminator" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from sklearn.metrics import roc_curve, auc\n", - "def makeROC(predictions,targetdata):\n", - " fpr, tpr, _ = roc_curve(targetdata.ravel(),predictions.ravel())\n", - " roc_auc = auc(fpr, tpr)\n", - " return fpr,tpr,roc_auc" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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W1u9w9GhWKlTQO5Fijgw5k/pFCFEAGAWMBpYAI4yaSjFpuy7votrCamTPkh2v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\nEE9PT8BYeZeVDGeUmJiIm5sb7u7uBAbm3pt4/vx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hRWqyEMIKGA7MByyB742aSknVdt/YTV+nvjQt2RS3vm5YZLbQO5JpOX8eRo/W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\naIzS0tJwd3fHw8ODoKCyexPPnz9Pp06Gc++mTZs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gE48ewaZNULmyAyBznoQx4lSklFKZAWuttf87nDsu/XPpgIrAJ0Bm4LBS6ojW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\n8ouuoDRN03Jz+EpqRdQKBrQYQJVKdjwXReZDuc2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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#fig = plt.figure(figsize=(15,15))\n", - "\n", - "# I obtain data from r*p1 by resampling data from p1 using r as weights\n", - "def weight_data(x0,x1,weights):\n", - " x1_len = x1.shape[0]\n", - " weights = weights / weights.sum()\n", - " weighted_data = np.random.choice(range(x1_len), x1_len, p = weights)\n", - " w_x1 = x1.copy()[weighted_data]\n", - " y = np.zeros(x1_len * 2)\n", - " x_all = np.vstack((w_x1,x0))\n", - " y_all = np.zeros(x1_len * 2)\n", - " y_all[x1_len:] = 1\n", - " return (x_all,y_all)\n", - "\n", - "p1 = p1s[0]\n", - "X0_roc = p0.rvs(500000,random_state=777)\n", - "X1_roc = p1.rvs(500000,random_state=777)\n", - "\n", - "# Roc curve comparison for p0 - r*p1\n", - "for k,param in enumerate(clf_parameters):\n", - " #fig.add_subplot(3,2,(k+1)*2)\n", - "\n", - " clf = clfs[3*k]\n", - " n_samples = param[1]\n", - " X0 = p0.rvs(n_samples)\n", - " X1 = p1.rvs(n_samples,random_state=777)\n", - " X_len = X1.shape[0]\n", - " ratio = ClassifierRatio(CalibratedClassifierCV(\n", - " base_estimator=clf, \n", - " cv=\"prefit\", # keep the pre-trained classifier\n", - " method=\"histogram\", bins=50))\n", - "\n", - " X = np.vstack((X0, X1))\n", - " y = np.zeros(len(X))\n", - " y[len(X0):] = 1\n", - "\n", - " ratio.fit(X, y)\n", - "\n", - " # Weighted with true ratios\n", - " true_r = p0.pdf(X1_roc) / p1.pdf(X1_roc)\n", - " true_r[np.isinf(true_r)] = 0.\n", - " true_weighted = weight_data(X0_roc,X1_roc,true_r)\n", - " # Weighted with approximated ratios\n", - " app_r = ratio.predict(X1_roc,log=False)\n", - " app_r[np.isinf(app_r)] = 0.\n", - " app_weighted = weight_data(X0_roc,X1_roc,app_r)\n", - "\n", - " clf_true = MLPRegressor(tol=1e-05, activation=\"logistic\", \n", - " hidden_layer_sizes=(10, 10), learning_rate_init=1e-07, \n", - " learning_rate=\"constant\", algorithm=\"l-bfgs\", random_state=1, \n", - " max_iter=75)\n", - " clf_true.fit(true_weighted[0],true_weighted[1])\n", - " predicted_true = clf_true.predict(true_weighted[0])\n", - " fpr_t,tpr_t,roc_auc_t = makeROC(predicted_true, true_weighted[1])\n", - " plt.plot(fpr_t, tpr_t, label=r\"$p(x|\\theta_1)r(x|\\theta_0,\\theta_1)$ exact\" % roc_auc_t)\n", - "\n", - " clf_true.fit(np.vstack((X0_roc,X1_roc)),true_weighted[1])\n", - " predicted_true = clf_true.predict(np.vstack((X0_roc,X1_roc)))\n", - " fpr_f,tpr_f,roc_auc_f = makeROC(predicted_true, true_weighted[1])\n", - " plt.plot(fpr_f, tpr_f, label=r\"$p(x|\\theta_1)$ no weights\" % roc_auc_f)\n", - "\n", - " clf_true.fit(app_weighted[0],app_weighted[1])\n", - " predicted_true = clf_true.predict(app_weighted[0])\n", - " fpr_a,tpr_a,roc_auc_a = makeROC(predicted_true, app_weighted[1])\n", - " plt.plot(fpr_a, tpr_a, label=r\"$p(x|\\theta_1)r(x|\\theta_0,\\theta_1)$ approx.\" % roc_auc_a)\n", - "\n", - " plt.plot([0, 1], [0, 1], 'k--')\n", - " plt.xlim([0.0, 1.0])\n", - " plt.ylim([0.0, 1.05])\n", - " plt.xlabel('False Positive Rate')\n", - " plt.ylabel('True Positive Rate')\n", - " plt.legend(loc=\"lower right\")\n", - " plt.tight_layout()\n", - "\n", - " plt.savefig('ROC_comp{0}.pdf'.format(k))\n", - " plt.show()\n", - " \n", - "#plt.tight_layout()\n", - "#plt.savefig('all_comp.pdf'.format(k))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "The ROC curves tell a\n", - "similarly revealing story. As expected, the classifier is not able to\n", - "distinguish between the distributions when $p(\\mathbf{x}|\\theta_1)$ is weighted\n", - "by the exact likelihood ratio. We can also rule out that this is a deficiency in\n", - "the classifier because the two distributions are well separated when no weights\n", - "are applied to $p(\\mathbf{x}|\\theta_1)$. In both the first and second examples the ROC curve correctly diagnoses deficiencies in the\n", - "approximate likelihood ratio $\\hat{r}(\\hat{s}(\\mathbf{x}; \\theta_0,\n", - "\\theta_1))$. Finally, third example shows that the ROC curve in the well\n", - "trained, well calibrated case is almost identical with the exact likelihood\n", - "ratio, confirming the quality of the approximation." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 2", - "language": "python", - "name": "python2" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.11" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/examples/Diagnostics for approximate likelihood ratios.ipynb b/examples/Diagnostics for approximate likelihood ratios.ipynb index 6434b4e..6a63461 100644 --- a/examples/Diagnostics for approximate likelihood ratios.ipynb +++ b/examples/Diagnostics for approximate likelihood ratios.ipynb @@ -23,19 +23,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Couldn't import dot_parser, loading of dot files will not be possible.\n" + ] + } + ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", + "#plt.set_cmap(\"viridis\")\n", "\n", "import numpy as np\n", "import theano\n", "from scipy.stats import chi2\n", - "from itertools import product" + "from itertools import product\n", + "\n", + "np.random.seed(314)" ] }, { @@ -60,6 +71,8 @@ "from carl.distributions import LinearTransform\n", "from sklearn.datasets import make_sparse_spd_matrix\n", "\n", + "import pdb\n", + "\n", "# Parameters\n", "true_A = 1.\n", "A = theano.shared(true_A, name=\"A\")\n", @@ -100,7 +113,7 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -129,7 +142,7 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -139,31 +152,25 @@ "A.set_value(true_A)\n", "nlls = []\n", "As_ = []\n", - "bounds_ = [[(true_A - 0.30, true_A + 0.30)],\n", - " [(true_A - 0.20, true_A + 0.30)],\n", - " [(true_A - 0.16, true_A + 0.16)]]\n", - "\n", - "for bounds in bounds_: \n", - " As = np.linspace(bounds[0][0],bounds[0][1], 100)\n", - " nll = [nll_exact([a], X_true) for a in As]\n", - " nll = np.array(nll)\n", - " nll = 2. * (nll - r.fun)\n", - " As_.append(As)\n", - " nlls.append(nll)" + "bounds = [(true_A - 0.30, true_A + 0.30)]\n", + "As = np.linspace(bounds[0][0],bounds[0][1], 100)\n", + "nll = [nll_exact([a], X_true) for a in As]\n", + "nll = np.array(nll)\n", + "nll = 2. * (nll - r.fun)" ] }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { 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Vz9tJiTrrrFDc99wznMDUpk3sRFLTF1+E7peqKrjoothpJFt1dTXV1dWJvmY+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\nVPSf1/AoAAAAAElFTkSuQmCC\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -182,13 +189,12 @@ "metadata": {}, "source": [ "# Likelihood-free setup\n", - "\n", "Here we create the data to train a parametrized classifier" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -199,27 +205,36 @@ "\n", "bounds = [(-3, 3), (-3, 3)]\n", "\n", - "clf_parameters = [(1000, 100000),\n", - " (1000000, 500),\n", - " (1000000, 100000)]\n", + "clf_parameters = [(1000,100000),(1000000,500),(1000000,100000)]\n", "X = [0]*3*3\n", "y = [0]*3*3\n", "\n", + "\n", + "\n", "for k,(param,p1) in enumerate(product(clf_parameters,p1s)):\n", " X[k], y[k] = make_parameterized_classification(\n", " p0, p1,\n", " param[0], \n", " [(A, np.linspace(bounds[0][0],bounds[0][1], num=30))],\n", - " random_state=0)" + " random_state=0)\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/juanpavez/Library/Python/2.7/lib/python/site-packages/sklearn/cross_validation.py:43: DeprecationWarning: This module has been deprecated in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n", + " \"This module will be removed in 0.20.\", DeprecationWarning)\n" + ] + } + ], "source": [ "# Train parameterized classifier\n", "from carl.learning import as_classifier\n", @@ -229,9 +244,8 @@ "from sklearn.pipeline import make_pipeline\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.model_selection import RandomizedSearchCV\n", - "\n", "clfs = []\n", - "for k, _ in enumerate(product(clf_parameters, p1s)):\n", + "for k,_ in enumerate(product(clf_parameters,p1s)):\n", " clfs.append(ParameterizedClassifier(\n", " make_pipeline(StandardScaler(), \n", " as_classifier(MLPRegressor(learning_rate=\"adaptive\", \n", @@ -265,7 +279,6 @@ " return wrapper\n", "\n", "def objective(theta, random_state=0, n_samples=100000, clf=clfs[0],p1=p1s[0]): \n", - " print(theta)\n", " \n", " # Set parameter values \n", " A.set_value(theta[0])\n", @@ -295,22 +308,45 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now we use a Bayesian optimization procedure to create a smooth surrotage of the approximate likelihood." + "Now we use a Bayesian optimization procedure to create a smooth surrogate of the approximate likelihood." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n", + "*Optimization completed:\n", + " -Maximum number of iterations reached.\n" + ] + } + ], "source": [ "from GPyOpt.methods import BayesianOptimization\n", - "\n", "solvers = []\n", - "\n", - "for k, (param, p1) in enumerate(product(clf_parameters,p1s)):\n", + "for k,(param,p1) in enumerate(product(clf_parameters,p1s)):\n", " clf = clfs[k]\n", " n_samples = param[1]\n", " bounds = [(-3, 3)]\n", @@ -329,15 +365,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "('Approx. MLE =', array([ 1.16413189]))\n", - "('Approx. MLE =', array([ 0.94663727]))\n", - "('Approx. MLE =', array([ 1.27348808]))\n", - "('Approx. MLE =', array([ 1.1194096]))\n", - "('Approx. MLE =', array([ 1.00237073]))\n", - "('Approx. MLE =', array([ 0.89313656]))\n", - "('Approx. MLE =', array([ 1.01881375]))\n", - "('Approx. MLE =', array([ 0.99491305]))\n", - "('Approx. MLE =', array([ 1.03651775]))\n" + "('Approx. MLE =', array([ 1.1567223]))\n", + "('Approx. MLE =', array([ 1.12968218]))\n", + "('Approx. MLE =', array([ 1.27133084]))\n", + "('Approx. MLE =', array([ 1.09549403]))\n", + "('Approx. MLE =', array([ 0.91981054]))\n", + "('Approx. MLE =', array([ 0.77314181]))\n", + "('Approx. MLE =', array([ 1.02540673]))\n", + "('Approx. MLE =', array([ 1.00016057]))\n", + "('Approx. MLE =', array([ 1.0148428]))\n" ] } ], @@ -359,9 +395,9 @@ "outputs": [ { "data": { - "image/png": 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rV7777rtSj9GrVy/+85//2FxYlZDVafjP2tx/mUEHEIfsPI9NloBFyffff8/u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\nirzMW90NaA7cpqq7vOTkC2/dJcATqrp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Wrd2P77NPa3/TpjSxmFXMeGvAzm1sjwXe3OXL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\n4pay46mTiPi1pK8DfwkMd57vmylISfPamscBPy4rlrqQtBg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DLFy4kDvuuINPP/2U1NRUPv/8c1avXs3dd9/NF198cci5unTpQu/evcnMLD/G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\nqupr3vMmAkuAS7z9Crysqj95F89MqoD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4OJjZ3sCL7j4LqLr37LbbOrn++i66urqYMmVKr8++u7s79+kpU6YUKk+l6dJj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\nLiKHUm0SkaRSfZLQ6IyehOU94Kic9nLgRgsmDZvZKWZ2ZIHXHQ28HRS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JvFrrbFptoxqj1z8xZIQ4cipj/MzsPDNbbGZ3V1jeZWYvmNldye24VmdMSwz7\ngjKmQxmz0ZF1gIborJsiko56+zOVdo+o+ji16IlICs4HpgMXVllnrrtPblEeEYlUXBW9tdeG557L\nOkVZXV1dWUeoSRnToYxt4XFgZNH0SEKLXbV1Nk3m9dLd3c2oUaMAePDBETz11FigC1h5dLDw/8hq\nuiAveWKdLszLSx79v9ObnjNnDjNmzABY8XnOirv/xcxqhYh6/GBBDN9VypgOZcxGU0/GYmbDgbnA\nMGAocIW7H12yThdwBfBQMusP7n5SyTphQPEZZ8A//xn+ikjUMj4ZSwfhZCy7Ak8At1P9ZCw7AtNq\nnYzlkkvg8svDXxGJV9YnY0kqele5+3vKLNsZuIxwcOpx4Eh3v7fMejoZi0ibabRsamqLnrsvMbNd\n3P3V5IfVTWb2IXe/qWTV+rog5LjrZvFR3rxSxnQoY/zc/U0zOxiYBQwBznX3+8zswGT5We5+jZlN\nNLP5wCvA/rW229GRzzF6ed8XYsgIceRUxkHhTmBk8ttqD+By4J3lVizucTBixAjGjh2bixbUwnRP\nTw+HHXZYbvKUmy7My0ueSi3SxVmzzlNuetq0abnb/0qn87g/Fu4vXLiQfnH3ltyA1QinMN+qZH4X\n4ahVtce6u7tfdZX7pEmeR7Nnz846Qk3KmA5lTEfyuW5ZGdSM24qyKXH55e6TJ6fz/qQlhn0hhozu\nceRUxnRkXT4Bo4C761z338C6ZeY35b1JUwz7gjKmQxnT0WjZ1PTr6JnZKoSjT6OBM9z9uyXLa3ZB\nWNH9YN48OO648FdEopZ116g0lHaNmjkTTj8drrkmw1AiMmBZl081um5uADzl7m5m44HfuvuoMut5\ns3/jiUhr5arrJoC7LwfGmtnawCwz63L3OUWr1N0FIc9dN0VEOjt11k0RGRgz+w2wM7CemT0KnAB0\nQuhWDnwaOMjM3gReBT6fVVYRybdVWvVE7v4CMBPYvmT+S+7+anL/WqDTzNYtfXx3dzdTzz+fqQ8/\nzLRp0/r0Xc16etq0abnKU266MC8vecpNl2bNOk+56Tzuf6XTedwf58yZw9SpU+nu7qa7u5t2lNcx\nenkXQ0aII6cyxs/dv+DuG7v7UHcf6e7neRg3fFay/HR3f7e7j3X3D7j7rVln7q8Y9gVlTIcyZqSR\nfp6N3oD1gBHJ/VWBecCuJetswMqzf44HFpbZTuiY+swz7uuu21hn1haJoV+vMqZDGdNBG47RmzfP\n/UMfSue/J2CwAAAgAElEQVT9SUsM+0IMGd3jyKmM6WjH8imPYtgXlDEdypiORsumZl9e4T3ABYSW\nw1WAi9z9J8VntjOzbwEHAYUuCEd4ydGpFf3Mly6F1VaDN94Ai3poj8igl/UYmDSUjoH561/h8MPh\n1miPr4sItGf5JCLxy9UYPXe/G3hvmflnFd0/HTi9rg12dobba6+FCp+ISI50duav66aIiIgMTi0b\no5eatdaCF1/MOkUfMfTrVcZ0KKNU0tGRv5OxxLAvxJAR4sipjBKTGPYFZUyHMmYjzoqezrwpIjmk\nFj0RERHJi6ZfRy8NvfqZv+998ItfhL8iEq12HAPzf/8He+0FDzyQYSgRGbB2LJ9EJH6Nlk1xtujl\nsOumiIha9ERERCQv4qvorb12Lit6MfTrVcZ0KKNUojF6/RNDRogjpzJKTGLYF5QxHcqYjfgqehqj\nJyI5pRY9ERERyYv4xuhNmQJjxoS/IhKtdhwD8/TTsOWW8MwzGYYSkQFrx/JJROKXq+vopW3ezJlc\nP3MmHcuX8+bMmew2ZQo7TZqUdSwREUAteiIiIpIf0XTdnDdzJrMOPZSTHnqIqQsXctL11zPr0EOZ\nN3Nm1tGAOPr1KmM6lFEq0Ri9/okhI8SRUxklJjHsC8qYDmXMRjQVvetPO42TFyzoNe/kBQu4Yfr0\njBKJiPSmFj0RERHJi2jG6J2w885MnTu3z7KpO+/M1DasgYu0u3YcA7NsWajsLV+eYSgRGbB2LJ9E\nJH5tex29N4cNKzt/2fDhLU4iIlLekCHh77Jl2eYQERERiaait9uUKRw7enSveceMHs3HDjkko0S9\nxdCvVxnToYxSTd7G6cWwL8SQEeLIqYwSkxj2BWVMhzJmI5qzbhbOrnn8CScw5KGHWDZ+PLsfcojO\nuikiuVIYp1ehE4KIiIhIS0QzRm9FzhtvhJNOCn9FJFrtOgZmxAhYuDD8FZE4tWv5JCJxa9sxeisM\nGwavv551ChGRsjo6dOZNERERyZ4qeimJoV+vMqZDGaWazk6N0WtUDBkhjpzKKDGJYV9QxnQoYzZU\n0RMRSZFa9ERERCQP4huj98ADsOee4a+IRKtdx8C84x3wpz+FvyISp3Ytn0QkbhqjJyKSIbXoiYiI\nSB6oopeSGPr1KmM6lFGq0Ri9xsWQEeLIqYwSkxj2BWVMhzJmQxU9EZEUqUVPRERE8qBpY/TMbDgw\nFxgGDAWucPejy6x3GrAH8CrQ7e53lVlnZT/zV1+F9dYLf0UkWu06Bmb77eGMM+B978solIgMWLuW\nTyISt0bLpo5mBXH3JWa2i7u/amYdwE1m9iF3v6mwjplNBMa4++ZmtgNwBrBj1Q2rRU9EcqyjI19d\nN0Wk9cxsa2AnYBTgwELgL+7+rwxjicgg09Sum+5eaHYbCgwBnitZZTJwQbLubcAIM9ug6kaHDAGz\n3P2SiqFfrzKmQxmlms7OfHXdjGFfiCEjxJFTGbNlZl8ys9uBnwIbAg8RKnkbAT81s7+Z2b4ZRsyV\nGPYFZUyHMmajaS16AGa2CnAnMBo4w93vLVllE+DRounHgE2BxVU3XGjV62hqfBGRhqlFT2RQWwfY\n1d1fKrfQzNYCuluaSEQGrZZcR8/M1gZmAd9z9zlF868CfuTuNyfTfwK+6+53ljy+dz/zddeF+fPD\nXxGJUruOgdltN/j2t2HChIxCiciAtWv5JCJxy80YvWLu/oKZzQS2B+YULXocGFk0vWkyr4/u7m5G\njRoFwIilSxk7ezZdn/oUsLKptaurS9Oa1nROpwv3Fy5cSDtTi56ImNlI4DTgQ8msecCh7v5YdqlE\nZNBx96bcgPWAEcn9VQmF3K4l60wErknu7wjcWmFb3svb3ub+7397nsyePTvrCDUpYzqUMR3J57pp\nZVArbn3KJnefPNn9j38c+PuTlhj2hRgyuseRUxnTMdDyCfgTsD/Qmdy6gRsGss1+ZGjSu5OeGPYF\nZUyHMqaj0bKpmS16GwEXJOP0VgEucvc/m9mBSelzlrtfY2YTzWw+8EpSKNamM2+KSE6pRU9EgLe6\n+/lF0zPM7PDM0ojIoNSSMXoD1aef+XveA7/+NWyzTXahRGRA2nUMzOc/D3vvDV/4QkahRGTABlo+\nmdmNwPnAxYABnwf2d/ddU4pYT4Y+5ZOIxK3Rsqmpl1doGrXoiUhOqUVPRAg9lD4LLAKeBD5Dvb2W\nRERSoopeSmK49oYypkMZpRpdR69xMWSEOHIqY/bMrAP4obvv5e5vTW57u/sjWWfLmxj2BWVMhzJm\nQxU9EZEUqUVPZHBz9zeBzcxsWNZZRGRwi3OM3h57wCGHwMSJ2YUSkQFp1zF63/wmbL01fOtbGYUS\nkQFLYYzeRcAWwJXAq8lsd/efpZGvzgwaoyfSZnJ5Hb3UqUVPRHJKLXoiAixIbqsAa2ScRUQGKXXd\nTEkM/XqVMR3KKNVojF7jYsgIceRUxnxw96nuPhX4qbufWLhlnStvYtgXlDEdypiNeCt6b7yRdQoR\nkT46O9WiJzLYmdkHzOxe4P5kelsz+0XGsURkkIlzjN7Xvgbjx4e/IhKldh2jd9xx4VjU8cdnFEpE\nBiyFMXq3A58GrnD3ccm8f7n71mllrCODxuiJtBldR09EJENq0RMRgDKXU1DJICItVbWiZ2brm9m3\nzOxSM7vNzG5N7n/LzNZvVcg+cljRi6FfrzKmQxmlmo4OjdFrVAwZIY6cypgbj5jZBwHMbKiZHQnc\nl3Gm3IlhX1DGdChjNiqeddPMzgVGA9cCZwJPAgZsBIwHfmtm8939q60I2ksOK3oiEgczWxe4FNgM\nWAh81t3/U7LOSOBCYH3AgbPd/bR6tq8WPREBDgJOBTYBHgeuB3TRFRFpqYpj9MxsW3f/R9UH17FO\nGvr0Mz/xRFi+PPwVkShlNUbPzH4MPOPuPzazo4B13P17JetsCGzo7j1mtgZwB/Bxd7+vZL0+Y2B+\n9jN49FE45ZTmvg4RaZ4UxuiNdPdHS+Zt6O6LBp6u7gwaoyfSZlIbo1dPBa4Vlbyy1KInIv03Gbgg\nuX8B8PHSFdx9kbv3JPdfJnS52riejatFT0SAf5vZJWa2WtG8azNLIyKDUsWKnpm9VMftwVaGXSGH\nFb0Y+vUqYzqUMXobuPvi5P5iYINqK5vZKGAccFs9G9cYvcbFkBHiyKmMuXE38BfgZjMbk3WYvIph\nX1DGdChjNiqO0QMWuPvYag82s56U89QnhxU9EckPM7sB2LDMomOLJ9zdzaxi36ak2+bvgUOTlr0+\nuru7GTVqFAAjRozg8cfHsnRpF7DyS6OrK7vpnp6eTJ+/numCvOSpNN3T05OrPPp/pzc9Z84cZsyY\nAbDi8zxQ7n568jvpKjP7biobFRFpQLUxeu9w94eqPriOddLQp5/5uefCLbeEvyISpQzH6N0PdLn7\nIjPbCJjt7luUWa8TuBq41t2nVdhWnzEwM2bA7NlwwQXlHiEiMUhhjN5dRdfP2wj4HbCdu6+aVsY6\nMmiMnkibSXOMXs0KXCsqeWWpRU9E+u9KYL/k/n7A5aUrmJkB5wL3VqrkVdLZma+umyKSiUmFO+7+\nJLALsHt2cURkMOrXBdPN7O60gzQkhxW9GPr1KmM6lDF6PwI+ZmYPAB9JpjGzjc1sZrLOB4F9gV3M\n7K7kVtePtI6OfJ2MJYZ9IYaMEEdOZcwHd3+iZHqpu8/NKk9exbAvKGM6lDEb1a6j96kys52V19LL\nTg4reiISB3d/DvhomflPkByFd/eb6OeBMLXoiYiISB5UG6O3FLgYWF66CPi0u6/R5GzFWXr3M581\nK1ysatasVkUQkZRlNUYvTeXGwFx5JZxzDlx1VUahRGTAUhijN9zdl9Sa10waoyfSfhotm6qddfNu\n4Kfu3qebppnt2p9wqVGLnojklFr0RAS4BXhvHfNERJqmWtekw4AXKyz7ZBOy1C+HFb0Y+vUqYzqU\nUarRGL3GxZAR4sipjNkys43MbDtgNTN7r5ltl/ztAlar8fBBJ4Z9QRnToYzZqNii5+7zqiz7Wz0b\nN7ORwIXA+oTxfWe7+2kl63QBVwCFM3j+wd1PqrrhHFb0RERALXoig9xuQDewCfC/RfNfAo7JIpCI\nDF4Vx+iVXdnsTnevu9uBmW0IbOjuPcmFh+8APu7u9xWt0wUc4e6Tq2yndz/zf/0LPvvZ8FdEotSu\nY/RuugmOOgpuvjmjUCIyYCmM0fu0u/8+zUz9yKAxeiJtJs0xemW338jK7r4IWJTcf9nM7gM2Bu4r\nWbWxwlQteiKSU2rRExF3/72Z7QlsBQwvmv/97FKJyGDT6OnDr+nvE5nZKGAccFvJIgc+YGb/MLNr\nzGyrmhvLYUUvhn69ypgOZZRqNEavcTFkhDhyKmM+mNlZwGeBKYSD2Z8FNss0VA7FsC8oYzqUMRsN\nVfTc/dj+PEnSbfP3wKHu/nLJ4juBke6+LTAduLzmBnNY0RMRAbXoiQgAH3D3LwPPufuJwI7AuzLO\nJCKDTM0xesmF038EbMDKLpbu7mvV9QRmncDVwLXuPq2O9f8NbJdc1Lgwz/fbbz9GjRoFwIhhwxh7\n0kl0vfIKsLIG3tXVpWlNazqn04X7CxcuBOCCCy5oyzF6994Ln/oU3FfaQV1EopHCGL3b3X28md0K\nfAp4FrjH3cekFrJ2Bo3RE2kzjZZN9VT0FgB7Fp9ApYEwBlwAPOvuh1dYZwPgKXd3MxsP/NbdR5Ws\n07uweu01WGcdWNKy646KSMrqKazM7DLgXMKBouWtSVa/cj+kHnwQ9tgD5s/PKJSIDFgKFb3jgZ8D\nHwFOT2af4+7Hp5Gvzgyq6Im0mUbLpnq6bi7qTyUv8UFgX2AXM7srue1hZgea2YHJOp8G7jazHmAa\n8PmaWx02DN54A3JUgMXQr1cZ06GMLXUGsA8w38x+ZGa57/rU2akxeo2KISPEkVMZ88Hdf+Duz7v7\nH4BRwBatrOTFIoZ9QRnToYzZqOesm383s0sJY+feSOa5u19W64HufhM1KpPufjorj3bVZ5VVYMiQ\nMBBm6NCGHioi8XD3G4AbzGwE4SDQn83sEeAc4FfunrvRcB0dGqMnIiu5+xKg7i5IZnYeMInQ2+k9\nFdY5DdgDeBXodve70sgqIu2lnq6bMwhnxuzF3fdvUqZyGfp2P1hjDXjySVhzzVbFEJEU1dv9wMze\nAnyJ0DvgCeBi4EPAu929q6khayhXNi1eDNtsE/6KSJyyvM6nmX0YeBm4sFxFz8wmAge7+0Qz2wE4\n1d13LLOeum6KtJnUr6Pn7t0DStQshTNvqqIn0rbM7I/AFsBFwF7u/mSy6BIzuyO7ZJWpRU9EBsLd\n/5JckqqSyYTzH+Dut5nZCDPbwN11eElEeqnYrdLMvl7rwfWs0zQ5u8RCDP16lTEdythS0919S3f/\nYVElDwB33y6rUNVojF7jYsgIceRUxmyZ2XZm9t6iv71uKT3NJsCjRdOPAZumtO2WimFfUMZ0KGM2\nqrXofc/MnmHlJRWKeTL/MODsZgSrKWcVPRFJn7vfmHWGRqlFT2RQ+1/Cb6RVge2AfybztwH+Drw/\npecp/W2mPpoi0kfFMXqVxuaVeMHdD0s7VJksffuZb7EF/PGPsOWWzX56EWmCLMfApKVc2bR0Kay2\nmip7IjFL4fIKlwEnuPvdyfS7gRPd/VN1Pn4UcFWFMXpnAnPc/ZJk+n5g59Kum32uQTxiBGPHjs38\nmqqa1rSmW3cN4npOxtLnl4yZDXP3ljWnla3obbstXHABjB3bqhgikqJ2rei5hxMDL18OFvWrExm8\nUqjo3evuW9WaV+Xxo6hc0Ss+GcuOwDSdjEVkcGjGdfTmmNnbi55gPPC3/oRLVc66bsbQr1cZ06GM\nrWNmf65nXp6Yhau/5GWcXgz7QgwZIY6cypgb/zSzX5pZl5ntYmbnAP+o54Fm9hvgFuBdZvaomX2l\n+PrD7n4N8JCZzQfOAr7ZrBfRbDHsC8qYDmXMRj3X0fshcK2ZTScMAN4D6G5mqLrkrKInIukxs1WB\n1YC3mtm6RYvWIpRDudbRESp6nZ1ZJxGRjOwPHAQcmkzPA86o54Hu/oU61jm4/9FEZLCo2XUTwMx2\nAW4AngbGufuiZgcref6+3Q8++lE46ij42MdaGUVEUlKt+4GZHUb4gbQx4dp5BS8BZ7v7z1sQsaZK\nXaPWXBMefxzWWiuDUCIyYGl0LTez1YC3ufv9KcVq9PnVdVOkzaTeddPMjgemAx8GpgJzzWzPfidM\ni1r0RNqWu09z97cDR7r724tu2+SlkldNoUVPRAYnM5sM3AVcl0yPM7Mrs00lIoNNPWP03gK8z93/\n6u5nAbuxsitCdoYNgzfeyDrFCjH061XGdChjSy02szUhHHQys8tSvBZV03R25uesmzHsCzFkhDhy\nKmNuTAV2AJ4HcPe7gHdkGSiPYtgXlDEdypiNmhU9dz/M3V8rmn6YUNnLllr0RAaD4939JTP7ELAr\ncB5wZsaZalKLnsigt9Td/1Myb3kmSURk0KprjF7WyvYz7+6Grq7wV0SiU08/czPrcfexZvYj4G53\n/7WZ3eXu41oUs6pKY2A22wzmzoXk8lUiEpkULq9wHvBn4HvAJ4EpQKe7fyOliPVk0Bg9kTbTjMsr\n5JNa9EQGg8fN7Gzgc8BMMxtOBOWWWvREBr2Dga2B14HfAC8Ch2WaSEQGndz/YKooZxW9GPr1KmM6\nlLGlPks4mcFuSTeodYDvZBupNo3Ra0wMGSGOnMqYPTPrAGa6+zHuvn1yO9bdl2SdrdTUqeHan6W3\nqVNb8/wx7AvKmA5lzEbDFT0z+5aZfS4pyLKTs4qeiKTP3V8hXNblQ8msN4H52SWqj1r0RAYvd38T\nWG5mI7LOUsvUqeAebrDyfqsqeiLSXA2P0TOzg4EtgM3cfa+mpOr7nH37mR93HAwfHv6KSHTqHKM3\nFdgOeJe7v9PMNgF+6+4fbEXGWiqNgRk3Ds49F96b+/ODikg5KYzRuxIYR7gG8SvJbHf3KWnkqzND\nQ2P0zFZW+EQknxotmxpulcvNNazUoicyGHyC8GPpDgB3f7xwuYU8U4ueyKB3WXIrVJ2s6L6ISEtU\n7LppZtPruJ3UyrC95KyiF0O/XmVMhzK21OvuvuKU5Ga2epZh6qUxeo2JISPEkVMZ88HdZwC/BW5z\n9wvcfYa7X5BxrNyJYV9QxnQoYzaqjdGbDPydcCT972VudwCfbnbAinJW0RORpvidmZ0FjDCzrxNO\nV/7LjDPVpBY9kcHNzCYDdxFOJoWZjUu6c4qItEzFMXpmdri7n1L1wXWsk4ay/czPPBN6esJfEYlO\nvf3MzWw3YLdkcpa739DcZPWrNAZm113h6KPhox/NIJSIDFgKY/TuBD4CzC5c99PM7nH3d6eVsY4M\nGqMn0mZSG6NXTwWuFZW8itSiJzIouPv1wPVm9lbgmazz1KOzUy16IoPcUnf/j1mv32PLK60sItIM\nNS+vYGbrm9mxZnaOmZ2f3M6rZ+NmNtLMZpvZv8zsHjMre7YpMzvNzB40s3+Y2bi6kuesohdDv94s\nM86bOZPjJkxgalcXx02YwLyZM8uup/cxHTFkrMbM3m9mc8zssqTL0z3A3cBiM9sj63y1dHRojF4j\nYsgIceRUxtz4l5ntA3SY2eZmNh24JetQeRPDvqCM6VDGbNRz1s0rgHmEUwQXjkbV27i/FDjc3XvM\nbA3gDjO7wd3vK6xgZhOBMe6+uZntAJwB7Fhzyzmr6Ell82bOZNahh3LyggUr5h2b3N9p0qSsYkm+\n/Rw4GlgbmA3s7u63mtkWwCXAtVmGq0UteiKD3iHAscDrwG+AWcAPMk0kIoNOzevomVmPu49N5cnM\nLgemu/ufi+adSejDfmkyfT+ws7svLlqnbz/zq68O4/OuvjqNaNJEx02YwEnXX99n/vETJvCD667L\nIJHkQbV+5sXljpnd5+5bFi27qzDmJWuVxsB85jPh9tnPZhBKRAYshTF6n3H339Wa10waoyfSfhot\nm2p23QSuNrMBN7uY2SjC9bBuK1m0CfBo0fRjwKY1N6gWvWh0VPg/DVmypMVJJCLFPzei21HUoicy\n6B1T5zwRkaapp6J3GHCVmS0xs5eS24uNPEnSbfP3wKHu/nK5VUqmax9TyllFL4Z+vVllfHPYsD7z\n5gH33XNPnzF7eh/TEUPGGrYplDfAe4rKnpeA92QdrhaN0WtMDBkhjpzKmC0z2yMZj7dJcv6BwnWH\nZxCGs0iRGPYFZUyHMmaj5hg9d19jIE9gZp3AH4BfufvlZVZ5HBhZNL1pMq+X7u5uRo0aBcCIESMY\nO3QoXUlFr/CP6erqymy6p6cn0+evZ7qg1c//1q4u9r3nHn71xBMAnEq4GNqVzz4Lc+cyBzj7nnvg\n7LNh9dVz835Vmu7p6clVnlj2x8L9hQsXUou7D6m5Uo6pRU9k0HqCcJ3hvZO/hQPZLwKHZxVKRAan\natfR28jdn6z64BrrWDiv8AXAs+5etoBLTsZysLtPNLMdgWnuvmPJOn37mff0QHd3+Cu5N2/mTG7Y\nbz+GbLwx9z3xBJc++2yfdTRmb3AZ6BiYPKg0BubAA2HcOPjGNzIIJSIDlsIYvU53z7QFT2P0RNpP\nmmP0yp//vrF1PgjsC+xiZncltz3M7EAzOxDA3a8BHjKz+cBZwDfrCc7QobnquinV7TRpEj/Yemum\nTp/Olu8uf71YjdmTdtHZmZ+umyKSiR3M7Ibk0lH/Tm4PZR1KRAaXahW9bYvHxZS7ARtU27i73+Tu\nq7j7WHcfl9yudfez3P2sovUOdvcx7r6tu99ZV3KN0WtY5hlfew2GDy87Zg9g2fDh2WesgzJKLR0d\n+em6GcO+EENGiCOnMubGucDPgA8B70tu4zNNlEMx7AvKmA5lzEbFMXq5HyOTs4qe1GHJElh1VXab\nMoVjFyzodV29Y0aPZvdDDllxoUaRmKlFT2TQ+4+75/p6nyLS/uq5jt4B7n5u0XQHcKy7n9jscEXP\n2bef+dNPw5ZbwjPPtCqGDNTmm8PMmfDOd4Yxe0cdxZBnnmHZ2LF87JBDdPH0Qaadx+gdfTSsuSYc\no5Opi0QphTF6PwKGAJcRLpoOQN29llKgMXoi7afRsqnmWTeBj5rZp4CvAusC5xPOjp8ttejFJ2nR\ngzBmb6f//CdU/C6+OONgIulSi57IoLcj4VJR25fM3yWDLCIySNW8jp67fwG4EPgn4eQrh7v7t5sd\nrKacVfRi6NebecZkjN4Kq64a5hXJPGMdlFFq0Ri9xsSQEeLIqYz54O5d7r5L6S3rXHkTw76gjOlQ\nxmzUrOiZ2TuBKYTuB48A+5rZ6s0OVtPQoeGQ+XKN6opGUYseECp9OtOmtJiZrZucDe8BM7vezEZU\nWXdIcrbgqxp5DrXoiQxuZrahmZ1rZtcl01uZ2QFZ5xKRwaWeMXr3E65z9yczW4Vwwc8D3H2rVgRM\nMpTvZz5sGLzwQu9WIskn99DM8frr4S/A7Nlw4onQhkdQpLasxuiZ2Y+BZ9z9x2Z2FLCOu3+vwrpH\nANsBa7r75DLLy5ZNP/kJLF4MP/1pyuFFpCVSGKN3HWGoy7Huvo2ZdQJ3uXv56ws1gcboibSfNK+j\nV7CDu/8JwN2Xu/v/Ap/ob8BU5az7plTx5puwyiorK3lQtuumSAtMBi5I7l8AfLzcSma2KTAR+CXQ\n0A8+teiJDHrrufulwDKA5OLpOenQLSKDRcWKnpl1Abj7C6XL3P3/knWy7W+eo4peDP16M81YOj4P\nNEaviWLImKEN3H1xcn8xla8HegrwHWj8qh8ao9eYGDJCHDmVMTdeNrO3FCbMbEegz++pwS6GfUEZ\n06GM2ah21s09ky5OfwL+DjxJqBhuSDiL1EeB2cktGzmq6EkNpePzQC160jRmdgOhrCp1bPGEu7uZ\n9emsZGZ7Ak+5+12Fg16VdHd3M2rUKABGjBjB2LFj6ezsYunSlV8aXV1hE1lM9/T0ZPr89UwX5CVP\npemenp5c5dH/O73pOXPmMGPGDIAVn+cB+jZwFfAOM7sFeCvw6TQ2LCJSr6pj9MxsTWBv4IPAZsns\nh4GbgCvc/eWmJ6RKP/PRo2HWLBgzphUxZCAefhg+/GF45JGV8x59FN7/fnjssexySWYyHKN3P9Dl\n7ovMbCNgtrtvUbLOD4EvEbpaDQfWAv7g7l8uWa9s2XTuuXDzzXDeec16FSLSTGmUT8m4vHcRun7f\nn3TfbBmN0RNpP6leR8/dXwJ+ldzyRy168ViypK6umyItcCWwH/A/yd/LS1dw92OAYwDMbGfgyNJK\nXjUaoycyuJnZwcCv3f2eZHodM/uCu/8i42giMohUG6P37aLbEaW3VoasKEcVvRj69Waasc6um3of\n0xFDxgz9CPiYmT0AfCSZxsw2NrOZFR7T0HFujdFrTAwZIY6cypgbX3P35wsTyf2vZ5gnl2LYF5Qx\nHcqYjWotemsSfty8C3gf4Si4AXsCtzc/Wh1yVNGTGsqdjKVwHT330GdEpAXc/TnCGOPS+U8Ak8rM\nnwvMbeQ51KInMuitYmaruPtyCNfkBDozziQig0w919H7CzAx6cZZGLd3jbt/uAX5ChnK9zPfeedw\nHbZkYLXk2Jw5MHVq32vmDR0KL70UKu0yqGQ1Ri9Nlcqmyy+HGTPCXxGJTwrX0fsp8DbgLMJB8gOB\nR9z92ylFrCeDxuiJtJlUx+gl1geKj00vTeZlTy168SjXogcru2+qoidtpKNDLXoig9xRhK6aByXT\nNxCuySki0jL1XDD9QuB2M5tqZicCt7HyYsPZGjYM3ngj6xRAHP16czdGD/qM09P7mI4YMrazzk6N\n0WtEDBkhjpzKmA/uvszdz3D3Tye3s9x9Wda58iaGfUEZ06GM2ahZ0XP3k4H9gf8AzwHd7v7DZger\ni1r04lGrRU+kjahFT2RwMrOZZvYZM1utzLLVzexzZnZNFtlEZPCpOUYvDyr2M99nH5g4MfyVfDvv\nPFanU5IAACAASURBVLjppr4XFttqK/jd72DrrbPJJZlp5zF68+bBcceFvyISn/6WT2a2PnAw4eLo\ny4AnCWP0NiQMl7kUON3dn04xbqUsGqMn0maaMUYvv9SiFw+16MkgohY9kcHJ3Z8C/gv4LzPbENgs\nWfSwuy/KLpmIDEb1jNHLrxxV9GLo16sxeulQRqlFY/QaE0NGiCOnMuaHuy9y99uSmyp5ZcSwLyhj\nOpQxG6roSWuoRU8GEbXoiYiISNbiHqN31FGw7rrhr+TbcceFit5xx/WeP3kyHHAA7L13NrkkM+08\nRu+ee+Bzn4N//SuDUCIyYO1cPlVeX2P0RPKu0bKpqS16ZnaemS02s7srLO8ysxfM7K7kdly59SpS\ni148qrXoLVnS+jwiTdTRkZ+umyIiIjI4Nbvr5vnA7jXWmevu45LbSQ1tPUcVvRj69eZyjN7w4Rqj\n1wQxZGxnnZ356boZw74QQ0aII6cyZsvM7q5y+2fW+fImhn1BGdOhjNlo6lk33f0vZjaqxmr97xox\nbBg8/3y/Hy4tpDF6MoioRU9k0Nor6wAiIgVNH6OXVPSucvf3lFm2M3AZ8BjwOHCku99bZr3y/cyn\nT4cHHgh/Jd+++EWYNKnvNQ8PPxxGjoQjjsgml2SmncfAPPEEbLcdPPlkBqFEZMAGcB29zYEN3P2m\nkvkfAp509wVpZawji8boibSZXI3Rq8OdwEh33xaYDlze0KNz1HVTanjttbouryDSDtSiJzJoTQNe\nLDP/xWSZiEjLZFrRc/eX3P3V5P61QKeZrVtu3e7ubqZOncrUqVOZNm1a6EebVPTmzJnTq19tFtPT\npk0b0ONbMV2Yl8nzP/74iq6bvZavuipz7r+/T7Y8vF+VplfsfznJU246j/vjnDlzmDp1Kt3d3XR3\nd9PONEavMTFkhDhyKmPmNnD3PmPxknlvzyBPrsWwLyhjOpQxI+7e1BswCri7wrINWNl9dDywsMJ6\nXtZvfuP+uc+VX9Zis2fPzjpCTZlm7Opyv/HGvvN/8hP3I45YMan3MR0xZEw+100vg5p5q1Q2vfii\n++qrD+z9SUsM+0IMGd3jyKmM6ehv+QTM78+yZtwq/naq+JobWj0VMewLypgOZUxHo2VTU8fomdlv\ngJ2B9YDFwAlAZ1L6nGVm3wIOAt4EXgWOcPdby2zHy+b84x/hwgvDX8m3HXeEU06B97+/9/zTTw8X\nG/vFL7LJJZlp5zF6S5bA2murZ7lIrAYwRu8S4EZ3P7tk/teAj7r759LKWEeW8r+dKq6vMXoieddo\n2dTss25+ocby04HT+/0EQ4fql1QsKl1eQWP0pA1pjJ7IoHUY8Ecz2we4I5m3HTAM+ERmqURkUMr6\nZCwDk6OTscTQrzfTjHVeMF3vYzpiyNjOhgyB5cvDLWsx7AsxZIQ4cipjttx9EfAB4ERgIfBv4ER3\n39HddR7eEjHsC8qYDmXMRlNb9JouRxU9qaHOC6aLtAOzla16Q4dmnUZEWinpL3ljchMRyUzTr6OX\nhor9zG+/Hb71Lfjb31ofShqz/vpw992wwQa95193XRi7N2tWNrkkM+08Rg9gtdXg6adh9dVbHEpE\nBqzdy6fy62uMnkjexXYdvYFRi148NEZPBhmN0xMREZEsqaKXkhj69eZ2jF5RRU/vYzpiyNju8nIt\nvRj2hRgyQhw5lVFiEsO+oIzpUMZsqKInzffmm+GsFJ2dfZepRU/aVGenWvREREQkO3GP0XviCdhu\nO3hSJ7LKtZdfDmPzXnml77L582HCBFiwoPW5JFPtPgZm003hr3+FkSNbHEpEBqzdy6fy62uMnkje\naYye5E+l8XmgFj1pW2rRExERkSypopeSGPr1Zpax0vg80Bi9JokhY7vr6NAYvXrFkBHiyKmMEpMY\n9gVlTIcyZkMVPWm+JUvqruiJtAu16ImIiEiW4h6j5w5DhoTD5kOGtD6Y1Oef/4R99gnX0StV+B8u\nWxYGCMig0e5jYLbZBi66CLbdtsWhRGTA2r18Kr++xuiJ5N3gGqNnpla9GFRr0TODoUPDOiJtRC16\nItIfZra7md1vZg+a2VFllneZ2QtmdldyOy6LnCKSf3FX9CA3Fb0Y+vVmOkav0slYoFf3Tb2P6Ygh\nY7vTGL36xZAR4sipjHEzsyHAz4Hdga2AL5jZlmVWnevu45LbSS0NmaIY9gVlTIcyZkMVPWm+ai16\noHF60pbycsF0EYnKeGC+uy9096XAJcDeZdaLulupiLRG3GP0AN72NvjLX2CzzVobSup3xRVw3nnh\nbzmjR8OsWTBmTGtzSabafQxMVxeccALssktrM4nIwGVVPpnZp4EJ7v61ZHpfYAd3P6RonZ2By4DH\ngMeBI9393jLb0hg9kTbTaNnU0cwwLaEWvfyrdnkFUIuetCW16IlIP9RT1boTGOnur5rZHsDlwDvL\nrdjd3c2oUaMAGDFiBGPHjqWrqwtY2U2tMA1zmPP/7d1/fFx1ne/x14cEUlyLXXqhKbZrMYAiLFJQ\naJFNwwpJJVzWi1rkuliVuiil7RVXgYY+iA+oAj5E2y6LrLJQvSquwPKjkTatNCkqUBTaAi2/opWW\nktbLjyLSFNp+7h9nEiaTmWQmOTPnnJn38/GYR3LOfOec9/zot/PN9/s93w5y3q9tbWu79Nu9v2/e\nvJlhcffY34KYORxzjPuGDbnvL5HVq1dHHWFIkWW85Rb3mTNz3/+hD7k//LC763UMSxIypv5dR16/\njOQ2WN00fbp7W9vwX5+wJOGzkISM7snIqYzhiKp+AqYAy9O2LwcuHeIxfwQOzrK/wOdcUPFQJOGz\noIzhUMZwFFo3aY6eFJ969KQCqUdPRIbhd8CRZjbJzA4AzgXuSS9gZuPMgvWIzOwkgmk4L5c+qojE\nXfLn6J1yCnz72/CRj5Q2lOTvu9+F558PfmbT1ARf+QpMn17aXBKpcp+jd845wfKRn/hEiUOJyIhF\nWT+lhmN+D6gCbnb3b5nZhQDufpOZzQa+DOwB3gAucfeHshwn93enrOfVHD2RuKvMOXpvvhl1ChlM\nPj16WkdPyox69ERkONz9PuC+jH03pf1+A3BDqXOJSPJo6GZIkrD2RmQZe3oGX0dv1CitoxeyJGQs\nd9XV8VgwPQmfhSRkhGTkVEZJkiR8FpQxHMoYDTX0pPg0R08qkHr0REREJEpFnaNnZv8JNAM73P3v\nc5RZDHyMYJz559z9sSxlco8znzEDPvnJ4KfE05w5cNRRwc9sLroIjjkGZs8ubS6JVLnP0Zs1C04+\nGb74xRKHEpERK/f6KXt5zdETibtC66Zi9+jdAuS8woaZnQkc4e5HAv8C3FjwGdSjF3/q0ZMKpB49\nERERiVJRG3ru/gDwyiBFzgaWpso+DIwxs3EFnSQmDb0kjOuN7Ry9tIaeXsdwJCFjudMcvfwlISMk\nI6cySpIk4bOgjOFQxmhEPUfv3cCWtO2twISCjhCThp4MQj16UoHUoyciImFpbQ2G12beWlujTiZx\nVvR19MxsEnBvtjl6ZnYvcI27/ya1vQr4urs/mlEu9zjzSy6BCROCnxJPzc3w5S/DWWdlv//662HL\nltzr7ElZKvc5MF//OowdC5deWuJQIjJi5V4/ZS+vOXpJofeqciVtHb0XgIlp2xNS+wb43Oc+x6RJ\nkwAYM2YMxx9/PA0NDVBTQ8emTdDREWzzdtertmOyvW0bPP00DamG3oD7t2yBri6CrRjk1XZRtnt/\n37x5M5VAPXoiIiISKXcv6g2YBDye474zgV+mfp8CPJSjnOd05ZXBLWKrV6+OOsKQIss4dar7r3+d\n+/5bbnGfOdPd9TqGJQkZU/+ui14HZd6Ag4GVwDNAOzAmR7kxwO3AJmAjMCVLmZzPLyZVUyI+C0nI\n6J6MnMoYjqjqpzBvg353yvqcCyoeiiR8FuKYMfO9imPGTMoYjkLrpqLO0TOznwG/Bd5nZlvM7Atm\ndqGZXZiqgX4J/MHMngNuAi4q+CSaoxd/BSyYLlIClwEr3f0o4Fep7WwWEfwh6mjgOIIGX96qq9Wj\nJyIiItEp+hy9MAw6zvz662Hr1uCnxNPRR8Mdd8AHPpD9/rvvhptvhnvuKW0uiVRUc2DM7Clgmrtv\nN7NaoMPd359R5l3AY+7+3iGOlbNuuvZaePnl4KeIJIvm6Emc6b2qXHFbR6/4DjhAPXpxV8DyCiIl\nMM7dt6d+3w5kW9LlcODPZnaLmT1qZj8ws3cUchL16ImIiEiUkt/Qi8nQzSSsvRFZxgKWV9DrGI4k\nZCwmM1tpZo9nuZ2dXq53vHuWQ1QDJwD/7u4nAH8l9xDPrPbfX+vo5SsJGSEZOZVRkiQJnwVlDIcy\nRiPqq26OyJq2NtoXL6Z6xw72NDXROHcu9c3NUceSTOrRkxJz9zNy3Wdm282s1t27zWw8sCNLsa3A\nVnd/JLV9OzkaermuCFxdDZs3d9DREe0VT9etWxf5FVfzuSJrnPLk2l63bl2s8uj9Dm+7o6ODW2+9\nFaDv37OISNIldo7emrY2Vsybx8Kurr59LXV1NC1apMZe3NTUwM6duXv1nnwSPvUp2LixtLkkUhHO\n0bsOeMndrzWzywiuujmgEWdma4BZ7v6MmbUCB7r7pRllcs6B+cEPYO3a4KeIJIvm6Emc6b2qXBUz\nR6998eJ+jTyAhV1drFyyJKJEktW+fcFEpZqa3GXUoyeldQ1whpk9A/xjahszO8zM2tLKzQF+Ymbr\nCa66+c1CTqI5eiIiIhKlxDb0qnPMy6vq6SlxkkASxvVGkrGnJ2jk2SB/fNAcvdAlIWNU3P1ldz/d\n3Y9y90Z3fzW1f5u7N6eVW+/uH3b3D7r7Oe6+s5DzxGXB9CR8FpKQEZKRUxklSZLwWVDGcChjNBLb\n0NuTo4do72AX/ZDSG2p+HqhHT8pSdXU8LsYiIiIilams5ujNr6tjuuboxcsLL8CHPwzbtuUus3s3\nHHRQLK6eKqVT7nNg7rgDfvITuPPOEocSkREr9/ope3nN+0oKvVeVq9C6KbFX3extzC1YsoSqrVvZ\nu22bGnlxlE+P3gEHBGPc9u6FqqrS5BIpMvXoiYiISJQSO3QTgsbeVcuX0/r733OVO/UnnBBZliSM\n640k41Br6EHwp6lRo6CnR69jSJKQsdxpjl7+kpARkpFTGSVJkvBZUMZwKGM0Et3Q61NTA2edpTFS\ncdTTM3RDDzRPT8qOevREREQkSomdozfAPffA9ddDGbbGE+2BB+Dyy+HXvx683IQJ8OCDMHFiaXJJ\n5Mp9Dszq1fCNb6hKEkmicq+fspfXvK+k0HtVuSpmHb0BGhth/Xro7o46iaRTj55UKPXoiYiISJTK\np6E3ahSceWZkwzeTMK43sjl6Q12MBfoaenodw5GEjOVOc/Tyl4SMkIycyihJkoTPgjKGQxmjUT4N\nPYBPfQpuvz3qFJJOPXpSodSjJyIiIlEqnzl6wJo776R9xgyqTzqJPaNH0zh3rpZbiNqPfgSrVgU/\nB9PQAFdeCaedVpJYEr1ynwOzfj2cfz5s2FDiUCIyYuVeP2Uvr3lfSaH3qnJVzDp6mda0tbHi619n\n4d69wUU9gJbUYupq7EUon+UVIOjR6+kpfh6RElGPnoiIiESpbIZuti9ezMJUw67Xwq4uVi5ZUpLz\nJ2FcbyQZ81kwHYLGoObohSYJGcud5ujlLwkZIRk5lVGSJAmfBWUMhzJGo2waetW7d2fdX6VeomgV\n0qOnOXpSRtSjJyIiIlEqmzl6VzQ1cXV7+4D9C5qauGr58mJFk6G0tvb/mcsFF8DUqTBrVrETSUyU\n+xyYLVuCj/TWrSUOJSIjVu71U/bymveVFHqvKlfFrqPXOHcuLXV1/fbNr6vjjDlzIkokgHr0pGLt\nv7969ERERCQ6ZdPQq29upmnRIhY0NdE6ejQLTj6Z6YsWlexCLEkY1xvrOXpaRy9USchY7qqrNUcv\nX0nICMnIqYySJEn4LChjOJQxGkW/6qaZTQe+B1QBP3T3azPubwDuBv6Q2nWHu189nHPVNzcHDbsZ\nM+Ccc0BX24yeevSkQqlHT0RERKJU1Dl6ZlYFPA2cDrwAPAKc5+6b0so0AJe4+9mDHKegceZ89asw\nfjz8678OM7mE5rOfhdNPD34O5lvfgp074ZprSpNLIlfuc2D++lc45BB4440ShxKRESv3+il7ec37\nSgq9V5UrbnP0TgKec/fN7v4WcBvwT1nKhVuZTpgQXAlBoqcePalQ6tETERGRKBW7ofduIL3FtTW1\nL50Dp5jZejP7pZl9YMRnnTix5A29JIzrjWyOXgELput1DEcSMpa73jl6Uf/VNQmfhSRkhGTkVEZJ\nkiR8FpQxHMoYjWLP0cvnK86jwER3f8PMPgbcBRw1orNOnKhrmsfFrl0FXYxFpFzst19w27cPqqqi\nTiMiIiKVpthz9KYAre4+PbV9ObAv84IsGY/5I3Ciu7+cts9nzpzJpEmTABgzZgzHH388DQ0NwNst\n8L7tX/wCLryQhpdfzn6/tku3feqpdMyYAccdN3j51atp2LgRfvGLeOXXdmjbvb9v3rwZgKVLl5b9\nHJiammDqaT6d2iISH5qjJ3Gm96pyFVo3FbuhV01wMZaPAtuAtQy8GMs4YIe7u5mdBPyXu0/KOE5h\nF2PZuzfoIXr9dTjggJE/ERm+E0+Em26CD31o8HL33huUW7asNLkkcpXwReqd74Tu7uCniCRHJdRP\nA8ur8ZAUeq8qV6wuxuLue4CLgRXARuDn7r7JzC40swtTxT4JPG5m6wiWYfj0iE9cVQW1tbBt24gP\nla8kjOuNJGMhc/S0jl5okpCxEsRhLb0kfBaSkBGSkVMZJUmS8FlQxnAoYzSKvo6eu98H3Jex76a0\n328Abgj9xL0XZEkN95SIaI6eVKi2tjW88UY7zc3VjB69h6lTD+PBB7exe3c1NTV7mDu3kebm+qhj\nioiISJkq6tDNsBQ8dBPg3HPh4x+H884rTijJz2GHwSOPwLszL7aa4dFH4YIL4LHHSpNLIlfOQ6Pa\n2tYwb94KuroWpvasobr6p+zZ8/2+MnV1LSxa1KTGnkgMlXP9lLu8hgMmhd6rylVo3VT0Hr3IRLDE\ngmTR06MePak4ixe3pzXyANr7NfIAurqamDnzBo499n5qatTjJyIiIuEq74bec8+V7HQdHR19VxmM\nq0gyFrhgul7HcCQhYznbvTuzas3cXgOs4KWXfk5nZ7B9//39e/w2bLiA8eNv46CDDs3aEMx3e/v2\nrYwbN4G5cxuBoBFa6DFybYfVGE3K5zUJOZVRkiQJnwVlDIc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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -406,15 +442,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "('GP MLE =', array([ 1.16159462]))\n", - "('GP MLE =', array([ 0.97255977]))\n", - "('GP MLE =', array([ 1.26513891]))\n", - "('GP MLE =', array([ 1.11403158]))\n", - "('GP MLE =', array([ 0.98412237]))\n", - "('GP MLE =', array([ 0.87652996]))\n", - "('GP MLE =', array([ 1.00740701]))\n", - "('GP MLE =', array([ 0.9974838]))\n", - "('GP MLE =', array([ 1.00067007]))\n" + "('GP MLE =', array([ 1.15409679]))\n", + "('GP MLE =', array([ 1.13815972]))\n", + "('GP MLE =', array([ 1.25892465]))\n", + "('GP MLE =', array([ 1.03389187]))\n", + "('GP MLE =', array([ 0.93057811]))\n", + "('GP MLE =', array([ 0.7587189]))\n", + "('GP MLE =', array([ 1.01290299]))\n", + "('GP MLE =', array([ 1.00689144]))\n", + "('GP MLE =', array([ 0.99879448]))\n" ] } ], @@ -437,7 +473,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "collapsed": false }, @@ -452,12 +488,12 @@ "gp_q2 = []\n", "n_points = 30\n", "\n", - "for k, (param, p1) in enumerate(product(clf_parameters,p1s)):\n", + "for k,(param,p1) in enumerate(product(clf_parameters,p1s)):\n", " clf = clfs[k]\n", " n_samples = param[1]\n", " solver = solvers[k]\n", " #As = np.linspace(*bounds[0], 100)\n", - " nll_gp, var_gp = solvers[k].model.predict(As_[k/3].reshape(-1, 1))\n", + " nll_gp, var_gp = solvers[k].model.predict(As.reshape(-1, 1))\n", " nll_gp = 2. * (nll_gp - rs[k].fun) * len(X_true)\n", " gp_ratios.append(nll_gp)\n", " # STD\n", @@ -465,11 +501,22 @@ " std_gp[np.isnan(std_gp)] = 0.\n", " gp_std.append(std_gp)\n", " # 95% CI\n", - " q1_gp, q2_gp = solvers[k].model.predict_quantiles(As_[k/3].reshape(-1, 1))\n", + " q1_gp, q2_gp = solvers[k].model.predict_quantiles(As.reshape(-1, 1))\n", " q1_gp = 2. * (q1_gp - rs[k].fun) * len(X_true)\n", " q2_gp = 2. * (q2_gp - rs[k].fun) * len(X_true)\n", " gp_q1.append(q1_gp)\n", - " gp_q2.append(q2_gp)" + " gp_q2.append(q2_gp)\n", + "\n", + " #nll_approx = np.zeros(n_points)\n", + "\n", + " #approx = [objective([a]) for a in np.linspace(*bounds[0], n_points)]\n", + " #approx = [objective([a],n_samples=n_samples,clf=clf,p1=p1) for a \n", + " # in np.linspace(bounds[0][0],bounds[0][1], n_points)]\n", + "\n", + " #approx = np.array(approx)\n", + " #approx = 2. * (approx - approx.min()) * len(X_true)\n", + " #nll_approx = approx\n", + " #approx_ratios.append(nll_approx)\n" ] }, { @@ -481,16 +528,16 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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0CWxT9cVVUOsupprg8i4mgKIiCAuDY8dcLvJsyBB46ilwYModq7HkYlIobleE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\ngf8DvpJSzj7lmDSbvZoTKCyEM85Q4Y3f/c4wM6SEoUNh9Gh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4biKvupqxW7dy944dfNar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\nTkSuQmCC\n", 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30Lf8f2GNXXnnHZGRI4udKCgQadFCxMIvGWdRHT4T5h7y5WlzJLm5udKyZUsp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\nqDi7h/v3OiG/Ip/kyGS6xXg214zycm7ZsYNyh4OnO3fmkujoRl3fKEe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AwEA6depEamqqSfnWuGLq1atHbm4uderUAaCwsLCc3z0vLw+dTseQIUNsktGz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\nqEGAxcKkRo2MNsdzdOqkPWbPhtRU2LxZE42FCzVnw6VLWqZ2eLi2tyS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e01HsyRYfH096enqNGt03U2mqJNBHnWfselcQUsqdQogOtQ4/BAy78XoFsIMm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jNe427kQlR6Ex1/B7C2P+CZzMyKNbIxVCCN73fp9VZ1fRu2VvgwDPPfom88+/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WAAAM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\nUkrFsf8DkoMP8CrHUFwAAAAASUVORK5CYII=\n", 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MYe3atTg6Ojbomr7//nsiIyOZO3cuOp2Ol156iQkTJjQor9qYTNeaM3U6HVOn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\nvMqn753azmAhBDEhMYToQ/jx6I9szNlIUVXRWU0UNoeNzUc2sz1/O6H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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -518,31 +565,31 @@ } ], "source": [ - "k = 0\n", + "bounds = [(true_A - 0.30, true_A + 0.30)]\n", "for k,_ in enumerate(clf_parameters):\n", " fig = plt.figure()\n", " ax = fig.add_subplot(1,1,1)\n", - " #nll_approx = approx_ratios[k]\n", - " #nll_gp = gp_ratios[k]\n", - " ax.plot(As_[k], nlls[k], label=\"Exact\")\n", + " ax.plot(As, nll, label=\"Exact\")\n", " #plt.plot(np.linspace(*bounds[0], n_points), nll_approx - , label=\"approx.\")\n", " #plt.plot(np.linspace(bounds[0][0],bounds[0][1], n_points), nll_approx , label=\"approx.\")\n", - " ax.plot(As_[k], gp_ratios[3*k], label=r\"Approx., $\\theta_1=(\\alpha=0,\\beta=-1)$\")\n", - " ax.plot(As_[k], gp_ratios[3*k+1], label=r\"Approx., $\\theta_1=(\\alpha=1,\\beta=-1)$\")\n", - " ax.fill_between(As_[k],(gp_ratios[3*k] - gp_std[3*k]).ravel(),(gp_ratios[3*k] + gp_std[3*k]).ravel(),\n", + " ax.plot(As, gp_ratios[3*k], label=r\"Approx., $\\theta_1=(\\alpha=0,\\beta=-1)$\")\n", + " ax.plot(As, gp_ratios[3*k+1], label=r\"Approx., $\\theta_1=(\\alpha=1,\\beta=-1)$\")\n", + " ax.fill_between(As,(gp_ratios[3*k] - gp_std[3*k]).ravel(),(gp_ratios[3*k] + gp_std[3*k]).ravel(),\n", " color='g',alpha=0.2)\n", - " #plt.fill_between(As,(gp_q2[3*k]).ravel(),(gp_q1[3*k]).ravel(),color='g',alpha=0.2)\n", - " ax.plot(As_[k], gp_ratios[3*k+2], label=r\"Approx., $\\theta_1=(\\alpha=0,\\beta=1)$\")\n", + " ax.plot(As, gp_ratios[3*k+2], label=r\"Approx., $\\theta_1=(\\alpha=0,\\beta=1)$\")\n", " handles, labels = ax.get_legend_handles_labels()\n", " ax.set_xlabel(r\"$\\alpha$\")\n", " ax.set_ylabel(r\"$-2 \\log \\Lambda(\\theta)$\")\n", " #plt.legend()\n", " p5 = plt.Rectangle((0, 0), 0.2, 0.2, fc=\"green\",alpha=0.2,edgecolor='none')\n", - " handles.insert(2,p5)\n", - " labels.insert(2,r\"$\\pm 1 \\sigma$, $\\theta_1=(\\alpha=0,\\beta=-1)$\")\n", + " handles.insert(4,p5)\n", + " labels.insert(4,r\"$\\pm 1 \\sigma$, $\\theta_1=(\\alpha=0,\\beta=-1)$\")\n", + " handles[1],handles[-2] = handles[-2],handles[1]\n", + " labels[1],labels[-2] = labels[-2],labels[1]\n", + "\n", " ax.legend(handles,labels)\n", " ax.set_ylim(0, 14)\n", - " ax.set_xlim(bounds_[k][0][0],bounds_[k][0][1])\n", + " ax.set_xlim(bounds[0][0],bounds[0][1])\n", " plt.savefig('likelihood_comp_{0}.pdf'.format(k))\n", " plt.show()" ] @@ -570,16 +617,31 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.metrics import roc_curve, auc\n", + "def makeROC(predictions,targetdata):\n", + " fpr, tpr, _ = roc_curve(targetdata.ravel(),predictions.ravel())\n", + " roc_auc = auc(fpr, tpr)\n", + " return fpr,tpr,roc_auc" + ] + }, + { + "cell_type": "code", + "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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gTJqV8g/35/2/3mfh6YW493Dn6/pf6wSVEA8eqF57DRpAr17g7m63CerRI9W5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\nueees1nX/fffT926dZkxYwbZ2dls3bqVyMhIq/LGjBlD586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W1u9w9GhWKlTQO5Fijgw5k/pFCFEAGAWMBpYAI4yaSjFpuy7votrCamTPkh2v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\nqF69OjExMTz11FOZ5SJCnz59aN++PT4+PjRo0ID33nvP6vK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Dc07OwaWLC2NrjVWLcuPryROtEaJKFW2ckbc3NG+ud6pEc/MmNG9uoFu3JQQH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\nxMTQvXt3wHgI37p1ixYtCm8/yWtTee05d+4cjRo1olatWqS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hRWqyEMIKGA7MByyB742aSknVdt/YTV+nvjQt2RS3vm5YZLbQO5JpOX8eRo/W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\nNlIajUajcVj+H8nQBzStPcA0AAAAAElFTkSuQmCC\n", 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we+H+daD0K9vkAhIppXZjXrNqitZ6iQUzJXhBIUG02NAC/4f+HGp1SLr3hPma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\nIrJJRGKNchpuhzDtSkQWi0iaiPxaQpqyncOVUg7xwnRJ8Bj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gE48ewaZNULmyAyBznoQx4lSklFKZAWuttf87nDsu/XPpgIrAJ0Bm4LBS6ojW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\n8ouuoDRN03Jz+EpqRdQKBrQYQJVKdjwXReZDuc2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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -622,7 +684,7 @@ " return (x_all,y_all)\n", "\n", "p1 = p1s[0]\n", - "X0_roc = p0.rvs(500000)\n", + "X0_roc = p0.rvs(500000,random_state=777)\n", "X1_roc = p1.rvs(500000,random_state=777)\n", "\n", "# Roc curve comparison for p0 - r*p1\n", @@ -658,8 +720,6 @@ " hidden_layer_sizes=(10, 10), learning_rate_init=1e-07, \n", " learning_rate=\"constant\", algorithm=\"l-bfgs\", random_state=1, \n", " max_iter=75)\n", - " # Maybe I should use CV here?\n", - " #fig = plt.figure()\n", " clf_true.fit(true_weighted[0],true_weighted[1])\n", " predicted_true = clf_true.predict(true_weighted[0])\n", " fpr_t,tpr_t,roc_auc_t = makeROC(predicted_true, true_weighted[1])\n", @@ -680,7 +740,6 @@ " plt.ylim([0.0, 1.05])\n", " plt.xlabel('False Positive Rate')\n", " plt.ylabel('True Positive Rate')\n", - " #plt.title('{0} n_epochs {1}'.format('ROC',epochs_training))\n", " plt.legend(loc=\"lower right\")\n", " plt.tight_layout()\n", "\n", @@ -706,27 +765,36 @@ "approximate likelihood ratio $\\hat{r}(\\hat{s}(\\mathbf{x}; \\theta_0,\n", "\\theta_1))$. Finally, third example shows that the ROC curve in the well\n", "trained, well calibrated case is almost identical with the exact likelihood\n", - "ratio, confirming the quality of the approximation.\n" + "ratio, confirming the quality of the approximation." ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 2", "language": "python", - "name": "python3" + "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 3 + "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.1" + "pygments_lexer": "ipython2", + "version": "2.7.11" } }, "nbformat": 4,