From 57d786c7cb1365d1f5a078389a22e521d95ffe65 Mon Sep 17 00:00:00 2001 From: shashank Date: Sat, 9 Sep 2017 17:01:49 -0700 Subject: [PATCH] Fig 1 and likelihood plotted --- .../constant_stochastic_gradient.ipynb | 297 +++++++++++++----- 1 file changed, 216 insertions(+), 81 deletions(-) diff --git a/docs/source/notebooks/constant_stochastic_gradient.ipynb b/docs/source/notebooks/constant_stochastic_gradient.ipynb index a67508fc190..35974ba2521 100644 --- a/docs/source/notebooks/constant_stochastic_gradient.ipynb +++ b/docs/source/notebooks/constant_stochastic_gradient.ipynb @@ -10,6 +10,8 @@ }, "outputs": [], "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", "import pymc3 as pm" ] }, @@ -46,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, @@ -146,33 +148,75 @@ " return Competence.INCOMPATIBLE" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Problem: A multivariate regression problem on the Protein Structure Properties dataset available at the [uci repo](https://archive.ics.uci.edu/ml/datasets/Physicochemical+Properties+of+Protein+Tertiary+Structure)." + ] + }, { "cell_type": "code", - "execution_count": 133, + "execution_count": 5, "metadata": { - "collapsed": false, - "deletable": true, - "editable": true + "collapsed": false }, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "100%|██████████| 5500/5500 [00:11<00:00, 470.62it/s]\n", - "100%|██████████| 5500/5500 [00:11<00:00, 467.08it/s]\n" + "--2017-09-10 14:11:17-- https://archive.ics.uci.edu/ml/machine-learning-databases/00265/CASP.csv\n", + "Resolving archive.ics.uci.edu... 128.195.10.249\n", + "Connecting to archive.ics.uci.edu|128.195.10.249|:443... connected.\n", + "HTTP request sent, awaiting response... 200 OK\n", + "Length: 3528710 (3.4M) [text/csv]\n", + "Saving to: ‘/tmp/CASP.csv.2’\n", + "\n", + "CASP.csv.2 100%[===================>] 3.37M 2.38MB/s in 1.4s \n", + "\n", + "2017-09-10 14:11:19 (2.38 MB/s) - ‘/tmp/CASP.csv.2’ saved [3528710/3528710]\n", + "\n" ] } ], + "source": [ + "!wget https://archive.ics.uci.edu/ml/machine-learning-databases/00265/CASP.csv --directory-prefix=/tmp/" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Load dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], "source": [ "batch_size = 50\n", - "raw_data = pd.read_csv('/Users/shashank/Downloads/CASP.csv', delimiter=',')\n", + "raw_data = pd.read_csv('/tmp/CASP.csv', delimiter=',')\n", "train_df = (raw_data - raw_data.mean())/raw_data.std()\n", "N = train_df.shape[0]\n", "q_size = train_df.shape[1]-1\n", - "q_name = ['F1', 'F2', 'F3', 'F4', 'F5', 'F6', 'F7', 'F8', 'F9']\n", - "\n", - "\n", + "q_name = ['F1', 'F2', 'F3', 'F4', 'F5', 'F6', 'F7', 'F8', 'F9']" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ "def x_gen():\n", " i = -1\n", " while True:\n", @@ -200,9 +244,27 @@ "\n", " # Identity Link Function\n", " mu = b0 + theano.dot(X, b1) \n", - " y_obs = pm.Normal(\"y_obs\", mu=mu, sd=std, observed=Y)\n", - "\n", - " \n", + " y_obs = pm.Normal(\"y_obs\", mu=mu, sd=std, observed=Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/shashank/.virtualenvs/pym3/lib/python2.7/site-packages/pymc3-3.1-py2.7.egg/pymc3/step_methods/sgmcmc.py:107: UserWarning: Warning: Stocastic Gradient based sampling methods are experimental step methods and not yet recommended for use in PyMC3!\n", + "100%|██████████| 5500/5500 [00:11<00:00, 497.23it/s]\n", + "100%|██████████| 5500/5500 [00:10<00:00, 505.32it/s]\n" + ] + } + ], + "source": [ "draws = 5000\n", "\n", "with model:\n", @@ -216,69 +278,43 @@ }, { "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Posterior Distribution of Theta values" - ] - }, - { - "cell_type": "code", - "execution_count": null, "metadata": { - "collapsed": true + "deletable": true, + "editable": true }, - "outputs": [], "source": [ - "from sklearn.decomposition import PCA\n", - "\n", - "_sigma_inv = np.linalg.inv(csg_step_method.avg_C.eval())\n", - "_trace = csg_trace\n", - "\n", - "posterior_dist = []\n", - "stationary_dist = []\n", - "total_weight = sum(map(lambda theta: np.exp(-(1./2)*np.matmul(np.matmul(bij.map(theta).T, _sigma_inv), bij.map(theta))), _trace))\n", - "for theta in _trace:\n", - " posterior_dist.append(theta)\n", - " print(-(1./2)*np.matmul(np.matmul(bij.map(theta).T, _sigma_inv), bij.map(theta)))\n", - " z2 = np.exp((-(1./2)*np.matmul(np.matmul(bij.map(theta).T, _sigma_inv), bij.map(theta))))/total_weight\n", - " if np.random.uniform(low=0, high=1, size=1)[0] <= z2:\n", - " stationary_dist.append(theta)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Constant Stochastic Gradient Traceplot" + "## Preconditioned CSG Trace Plot" ] }, { "cell_type": "code", - "execution_count": 134, + "execution_count": 9, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { "text/plain": [ - "array([[,\n", - " ],\n", - " [,\n", - " ],\n", - " [,\n", - " ]], dtype=object)" + "array([[,\n", + " ],\n", + " [,\n", + " ],\n", + " [,\n", + " ]], dtype=object)" ] }, - "execution_count": 134, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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I2tEJIUSWHTvbR3vvKNdfUU558cpsvYrL9+Tw8gMb+fFvm3jod6285qat2Q4p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TJS5EKIWvkC8HfA2/ArCr4EeLyeDZqrQElHyPU8zJIOxtBomp6BOGpTG7bt8cTRPnasay1c3jMY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\nBlYtrmG9apTMZEKUkGvWt+H32Pnug7v42i9e4i2bOrhuQ1tRL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0zI9cWwLqodq+fTu2b98OwHPS27VrF5YuXYply5YFJThCCBks3x2rht3pxu0z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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -291,38 +327,43 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "## SGFS Trace Plot" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 10, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { "text/plain": [ - "array([[,\n", - " ],\n", - " [,\n", - " ],\n", - " [,\n", - " ]], dtype=object)" + "array([[,\n", + " ],\n", + " [,\n", + " ],\n", + " [,\n", + " ]], dtype=object)" ] }, - "execution_count": 19, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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0viFV1qbutfUmxUoGoCycv3XhWdu59dfDZHJLz6mqfB+aiMjGt1qCdUZNohCR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GY1mF+OVELi4WVCVU+aUVOJ5VBItVRmGpCbJouAw7S7UTUXPw6evjUaNG4YEHHsCYMWMA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\n8HwILE3UgFXOhAUBzGyYDV4cXcgRJBWZrjaKpkQ8kSY3Ywr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3t9xyi/nxj39s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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -335,35 +376,129 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ - "## Example Figure from Publication" + "### Figure 1\n", + "\n", + "Posterior distribution f(θ) ∝ exp{−N (θ)} (blue) and stationary sampling distributions q(θ) of the iterates of SGD (cyan) " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], - "source": [] + "source": [ + "def posterior_covariance(step_method, trace):\n", + " bij = pm.DictToArrayBijection(step_method.ordering, step_method.model.test_point)\n", + " q_size = bij.map(step_method.model.model.test_point).size\n", + " sample_size = len(trace)\n", + " posterior = np.empty((q_size, sample_size))\n", + " for index, point in enumerate(trace):\n", + " posterior[:, index] = bij.map(point)\n", + " posterior_minus_mean = posterior - np.asmatrix(posterior.mean(axis=1)).T\n", + " cov = np.matmul(posterior_minus_mean, posterior_minus_mean.T)\n", + " return posterior_minus_mean, cov\n", + "\n", + "def projection(posterior, cov):\n", + " U, S, V_h = np.linalg.svd(a=cov, compute_uv=True, full_matrices=True)\n", + " first_projection = V_h[0, :]\n", + " last_projection = V_h[-1, :]\n", + " q_size, samples = posterior.shape\n", + " projection_matrix = np.empty((samples, 2))\n", + " for i in range(samples):\n", + " projection_matrix[i, 0] = np.matmul(first_projection, posterior_minus_mean[:, i])\n", + " projection_matrix[i, 1] = np.matmul(last_projection, posterior_minus_mean[:, i])\n", + " return projection_matrix\n", + "\n", + "burn_in = 1000" + ] }, { - "cell_type": "markdown", - "metadata": {}, + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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AcorPlb906VKBAfzt27dFhbtz505JgC6XlpaGmJgY2NrainnopqamknSzsrIq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\naJ7tHMCnN2Y2QFIzFBCy2p6VlcZn+pOZmd3kbUzWnea13LdydmIJL/1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jLJc+vH74kvJM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\nY8eOzJ8/P9u3b88tt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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "## 2 D Map comparing sampling between SGFS and CSG" + "posterior_minus_mean, cov = posterior_covariance(csg_step_method, csg_trace[:burn_in])\n", + "projection_matrix = projection(posterior_minus_mean, cov)\n", + "df = pd.DataFrame(projection_matrix, columns=['X', 'Y'])\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "ax.set_title(\"Posterior CSG Iterates Projection on largest and smallest principal components of the covariance matrix\",\n", + " fontsize=20, fontweight='bold')\n", + "plt.scatter(x=df['X'], y=df['Y'])" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { - "collapsed": true + "collapsed": false }, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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O2nfoUiafP38eo0aNkgQnqampIp0pKSn5Vva0UZR8ru11kJiYCD8/P8nEqZcuXYK/vz8q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\nRK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "burn_in = 1000\n", + "posterior_minus_mean, cov = posterior_covariance(sgfs_step_method, sgfs_trace[:burn_in])\n", + "projection_matrix = projection(posterior_minus_mean, cov)\n", + "df = pd.DataFrame(projection_matrix, columns=['X', 'Y'])\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "ax.set_title(\"Posterior SGFS Iterates Projection on largest and smallest principal components of the covariance matrix\",\n", + " fontsize=20, fontweight='bold')\n", + "plt.scatter(x=df['X'], y=df['Y'])" + ] } ], "metadata": {