{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bayesian Neural Networks in PyMC3 with Stochastic Gradient Algorithms\n", "\n", "To learn more about using bayesian methods, to train deep learning method please refer to this post by Thomas Wiecki http://twiecki.github.io/blog/2016/06/01/bayesian-deep-learning/. This notebook\n", "follows a similar structure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stochastic Gradient Fisher Scoring\n", "\n", "Author: [__shkr__](www.github.com/shkr)\n", "\n", "```\n", "Can we approximately sample from a Bayesian posterior distribution if we are only allowed to touch a small mini-batch of data-items for every sample we generate?\n", "```\n", "\n", "\n", "Stochastic Gradient Fisher scoring is an algorithm which at high mixing rates (or epsilon valuees) samples from a normal approximation of the \n", "posterior, while for slow mixing rates it will mimic the behaviour of SGLD with a preconditioner matrix that is as parameter `B`.\n", "\n", "The mixing rate is controlled by epsilon which is $ \\epsilon = 2^{-\\frac{t}{step\\_size\\_decay}}*step\\_size $\n", "\n", "\n", "Here we run the sampling algorithm with a minibatch of the training samples of X_train.\n", "The `total_size` is `X_train.shape[0]`. If the preconditioner matrix is not specified, an identity matrix is used.\n", "\n", "Reference: https://www.slideshare.net/hustwj/austerity-in-mcmc-land-cutting-the-computational-budget" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating data\n", "\n", "First, lets generate some toy data -- a simple binary classification problem that's not linearly separable." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.5/dist-packages/sklearn/cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 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": [ "%matplotlib inline\n", "import theano\n", "floatX = theano.config.floatX\n", "import pymc3 as pm\n", "import theano.tensor as T\n", "import sklearn\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set_style('white')\n", "from sklearn import datasets\n", "from sklearn.preprocessing import scale\n", "from sklearn.cross_validation import train_test_split\n", "from sklearn.datasets import make_moons" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X, Y = make_moons(noise=0.2, random_state=0, n_samples=1000)\n", "X = scale(X)\n", "X = X.astype(floatX)\n", "Y = Y.astype(floatX)\n", "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size=.5)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFnCAYAAACLnxFFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(X[Y==0, 0], X[Y==0, 1], label='Class 0')\n", "ax.scatter(X[Y==1, 0], X[Y==1, 1], color='r', label='Class 1')\n", "sns.despine(); ax.legend()\n", "ax.set(xlabel='X', ylabel='Y', title='Toy binary classification data set');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Store training data in Theano shared variables" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ann_input = theano.shared(X_train)\n", "ann_output = theano.shared(Y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model specification\n", "\n", "A neural network is quite simple. The basic unit is a [perceptron](https://en.wikipedia.org/wiki/Perceptron) which is nothing more than [logistic regression](posterior_predictive.ipynb#Prediction). We use many of these in parallel and then stack them up to get hidden layers. Here we will use 2 hidden layers with 5 neurons each which is sufficient for such a simple problem." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "total_size = len(Y_train)\n", "n_hidden = 5\n", "\n", "# Initialize random weights between each layer\n", "init_1 = np.random.randn(X.shape[1], n_hidden).astype(floatX)\n", "init_2 = np.random.randn(n_hidden, n_hidden).astype(floatX)\n", "init_out = np.random.randn(n_hidden).astype(floatX)\n", "\n", "def build_network(ann_input, ann_output):\n", " with pm.Model() as model:\n", " # Weights from input to hidden layer\n", " weights_in_1 = pm.Normal('w_in_1', 0, sd=1, \n", " shape=(X.shape[1], n_hidden), \n", " testval=init_1)\n", "\n", " # Weights from 1st to 2nd layer\n", " weights_1_2 = pm.Normal('w_1_2', 0, sd=1, \n", " shape=(n_hidden, n_hidden), \n", " testval=init_2)\n", "\n", " # Weights from hidden layer to output\n", " weights_2_out = pm.Normal('w_2_out', 0, sd=1,\n", " shape=(n_hidden,), \n", " testval=init_out)\n", "\n", " # Build neural-network using tanh activation function\n", " act_1 = pm.math.tanh(pm.math.dot(ann_input, weights_in_1))\n", " act_2 = pm.math.tanh(pm.math.dot(act_1, weights_1_2))\n", " act_out = pm.math.sigmoid(pm.math.dot(act_2, weights_2_out))\n", "\n", " # Binary classification -> Bernoulli likelihood\n", " out = pm.Bernoulli('out', \n", " act_out,\n", " observed=ann_output,\n", " total_size=total_size)\n", " \n", " return model, out" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/laoj/Documents/Github/pymc3/pymc3/step_methods/sgmcmc.py:107: UserWarning: Warning: Stochastic Gradient based sampling methods are experimental step methods and not yet recommended for use in PyMC3!\n", " warnings.warn(EXPERIMENTAL_WARNING)\n", "100%|██████████| 5000/5000 [00:12<00:00, 408.54it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 22.3 s, sys: 1min 11s, total: 1min 33s\n", "Wall time: 14.7 s\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "from six.moves import zip\n", "\n", "def train_sgfs(model, B=None):\n", " \n", " # Tensors and RV that will be using mini-batches\n", " minibatch_tensors = [ann_input, ann_output]\n", " minibatch_RVs = [out]\n", "\n", " # Generator that returns mini-batches in each iteration\n", " def create_minibatch(data):\n", " rng = np.random.RandomState(0)\n", "\n", " while True:\n", " # Return random data samples of set size 50 each iteration\n", " ixs = rng.randint(len(data), size=50)\n", " yield data[ixs]\n", "\n", " minibatches = zip(\n", " create_minibatch(X_train), \n", " create_minibatch(Y_train),\n", " )\n", "\n", " total_size = len(Y_train)\n", "\n", " with model:\n", " draws = 4500\n", " step_method = pm.SGFS(batch_size=50, \n", " total_size=total_size, \n", " B=B, \n", " step_size=.1, \n", " step_size_decay=100, \n", " minibatches=minibatches, \n", " minibatch_tensors=minibatch_tensors)\n", " trace = pm.sample(draws=draws, step=step_method) \n", " return step_method, trace\n", " \n", "neural_network, out = build_network(ann_input, ann_output)\n", "%time step_method, trace = train_sgfs(neural_network)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A smaller wall time than mini-batch ADVI" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAAGkCAYAAAA2bGRtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nI6MzTznYPQkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 500/500 [00:00<00:00, 2345.24it/s]\n" ] } ], "source": [ "# Replace shared variables with testing set\n", "ann_input.set_value(X_test)\n", "ann_output.set_value(Y_test)\n", "\n", "# Creater posterior predictive samples\n", "ppc = pm.sample_ppc(trace, model=neural_network, samples=500, random_seed=0)\n", "\n", "# Use probability of > 0.5 to assume prediction of class 1\n", "pred = ppc['out'].mean(axis=0) > 0.5" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFnCAYAAACLnxFFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(X_test[pred==0, 0], X_test[pred==0, 1])\n", "ax.scatter(X_test[pred==1, 0], X_test[pred==1, 1], color='r')\n", "sns.despine()\n", "ax.set(title='Predicted labels in testing set', xlabel='X', ylabel='Y');" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy = 97.2%\n" ] } ], "source": [ "print('Accuracy = {}%'.format((Y_test == pred).mean() * 100))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lets look at what the classifier has learned\n", "\n", "For this, we evaluate the class probability predictions on a grid over the whole input space." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "grid = np.mgrid[-3:3:100j,-3:3:100j].astype(floatX)\n", "grid_2d = grid.reshape(2, -1).T\n", "dummy_out = np.ones(grid.shape[1], dtype=np.int8)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 500/500 [00:03<00:00, 148.52it/s]\n" ] } ], "source": [ "ann_input.set_value(grid_2d)\n", "ann_output.set_value(dummy_out)\n", "\n", "# Creater posterior predictive samples\n", "ppc = pm.sample_ppc(trace, model=neural_network, samples=500, random_seed=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Probability surface" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkIAAAGECAYAAADa/k80AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIm35/7FGovj0LHHGAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cmap = sns.diverging_palette(250, 12, s=85, l=25, as_cmap=True)\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "contour = ax.contourf(grid[0, :], grid[1, :], ppc['out'].mean(axis=0).reshape(100, 100), cmap=cmap)\n", "ax.scatter(X_test[pred==0, 0], X_test[pred==0, 1])\n", "ax.scatter(X_test[pred==1, 0], X_test[pred==1, 1], color='r')\n", "cbar = plt.colorbar(contour, ax=ax)\n", "_ = ax.set(xlim=(-3, 3), ylim=(-3, 3), xlabel='X', ylabel='Y');\n", "ax.set_title('$B \\propto I_t $')\n", "cbar.ax.set_ylabel('Posterior predictive mean probability of class label = 0');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Uncertainty in predicted value\n", "\n", "So far, everything I showed we could have done with a non-Bayesian Neural Network. \n", "The mean of the posterior predictive for each class-label should be identical to maximum likelihood predicted values. \n", "However, we can also look at the standard deviation of the posterior predictive to get a sense for the uncertainty in our predictions. Here is what that looks like:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkIAAAGECAYAAADa/k80AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCSEGg8FgMBgpy/8Htc3z56K8lUEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cmap = sns.cubehelix_palette(light=1, as_cmap=True)\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "contour = ax.contourf(grid[0, :], grid[1, :], ppc['out'].std(axis=0).reshape(100, 100), cmap=cmap)\n", "ax.scatter(X_test[pred==0, 0], X_test[pred==0, 1])\n", "ax.scatter(X_test[pred==1, 0], X_test[pred==1, 1], color='r')\n", "cbar = plt.colorbar(contour, ax=ax)\n", "_ = ax.set(xlim=(-3, 3), ylim=(-3, 3), xlabel='X', ylabel='Y')\n", "ax.set_title('$B \\propto I_t $')\n", "cbar.ax.set_ylabel('Uncertainty (posterior predictive standard deviation)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Next steps\n", "\n", "This section was added with the introduction of the first approximate MCMC sampling algorithm in pymc3, Stochastic Gradient Fisher Scoring.\n", "The file [sgmcmc.py]() defines a BaseStochasticGradient class that can be extended to other approximate algorithms by only implementing `_initialize_values` and `mk_training_fn` methods" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 }, "nav_menu": {}, "toc": { "colors": { "hover_highlight": "#DAA520", "running_highlight": "#FF0000", "selected_highlight": "#FFD700" }, "moveMenuLeft": true, "nav_menu": { "height": "390px", "width": "252px" }, "navigate_menu": true, "number_sections": true, "sideBar": true, "threshold": 6, "toc_cell": false, "toc_position": { "height": "913px", "left": "0px", "right": "auto", "top": "106px", "width": "212px" }, "toc_section_display": "block", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 1 }