From f068daabe0f336c598271d6c1e1bda8d284d2cbd Mon Sep 17 00:00:00 2001 From: Daniel Emaasit Date: Thu, 4 Oct 2018 01:51:19 -0400 Subject: [PATCH 1/3] added gp, sparse gp, studentsT gp --- .gitignore | 3 + notebooks/GaussianProcessRegression.ipynb | 1095 ++++++ .../SparseGaussianProcessRegression.ipynb | 3478 +++++++++++++++++ notebooks/StudentsTProcessRegression.ipynb | 1399 +++++++ pymc3_models/__init__.py | 7 + .../models/GaussianProcessRegression.py | 177 + .../models/SparseGaussianProcessRegression.py | 85 + .../models/StudentsTProcessRegression.py | 78 + 8 files changed, 6322 insertions(+) create mode 100644 notebooks/GaussianProcessRegression.ipynb create mode 100644 notebooks/SparseGaussianProcessRegression.ipynb create mode 100644 notebooks/StudentsTProcessRegression.ipynb create mode 100644 pymc3_models/models/GaussianProcessRegression.py create mode 100644 pymc3_models/models/SparseGaussianProcessRegression.py create mode 100644 pymc3_models/models/StudentsTProcessRegression.py diff --git a/.gitignore b/.gitignore index dd66211..72cd629 100644 --- a/.gitignore +++ b/.gitignore @@ -105,3 +105,6 @@ ENV/ # Pickles notebooks/pickle_jar/ + +# IDE +.idea/ diff --git a/notebooks/GaussianProcessRegression.ipynb b/notebooks/GaussianProcessRegression.ipynb new file mode 100644 index 0000000..eda38aa --- /dev/null +++ b/notebooks/GaussianProcessRegression.ipynb @@ -0,0 +1,1095 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Gaussian Process Regression\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's set some setting for this Jupyter Notebook." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:47:30.276969Z", + "start_time": "2018-10-04T05:47:28.918442Z" + } + }, + "outputs": [], + "source": [ + "%matplotlib inline \n", + "from warnings import filterwarnings\n", + "filterwarnings(\"ignore\")\n", + "import os\n", + "os.environ['MKL_THREADING_LAYER'] = 'GNU'\n", + "os.environ['THEANO_FLAGS'] = 'device=cpu' \n", + " \n", + "import numpy as np\n", + "import pandas as pd\n", + "import pymc3 as pm\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "np.random.seed(12345)\n", + "rc = {'xtick.labelsize': 20, 'ytick.labelsize': 20, 'axes.labelsize': 20, 'font.size': 20, \n", + " 'legend.fontsize': 12.0, 'axes.titlesize': 10, \"figure.figsize\": [12, 6]}\n", + "sns.set(rc = rc)\n", + "from IPython.core.interactiveshell import InteractiveShell\n", + "InteractiveShell.ast_node_interactivity = \"all\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Now, let's import the `GaussianProcessRegression` algorithm from the `pymc3_models` package." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:47:41.455144Z", + "start_time": "2018-10-04T05:47:41.419359Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running on pymc3_models v1.1.3\n" + ] + } + ], + "source": [ + "import pymc3_models\n", + "from pymc3_models import GaussianProcessRegression\n", + "print('Running on pymc3_models v{}'.format(pymc3_models.__version__))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 1: Prepare the data\n", + "Generate synthetic data." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T04:51:11.659653Z", + "start_time": "2018-10-04T04:51:08.883088Z" + }, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "n = 150 # The number of data points\n", + "X = np.linspace(start = 0, stop = 10, num = n)[:, None] # The inputs to the GP, they must be arranged as a column vector\n", + "\n", + "# Define the true covariance function and its parameters\n", + "length_scale_true = 1.0\n", + "signal_variance_true = 3.0\n", + "cov_func = signal_variance_true**2 * pm.gp.cov.ExpQuad(1, length_scale_true)\n", + "\n", + "# A mean function that is zero everywhere\n", + "mean_func = pm.gp.mean.Zero()\n", + "\n", + "# The latent function values are one sample from a multivariate normal\n", + "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n", + "f_true = np.random.multivariate_normal(mean_func(X).eval(),\n", + " cov_func(X).eval() + 1e-8*np.eye(n), 1).flatten()\n", + "\n", + "# The observed data is the latent function plus a small amount of Gaussian distributed noise\n", + "# The standard deviation of the noise is `sigma`\n", + "noise_variance_true = 2.0\n", + "y = f_true + noise_variance_true * np.random.randn(n)\n", + "\n", + "## Plot the data and the unobserved latent function\n", + "fig = plt.figure(figsize=(12,5))\n", + "ax = fig.gca()\n", + "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n", + "ax.plot(X, y, 'ok', ms=3, label=\"Data\");\n", + "ax.set_xlabel(\"X\"); ax.set_ylabel(\"y\"); plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T04:51:16.118360Z", + "start_time": "2018-10-04T04:51:16.107285Z" + } + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 2: Instantiate a model" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T04:51:18.381174Z", + "start_time": "2018-10-04T04:51:18.378215Z" + } + }, + "outputs": [], + "source": [ + "model = GaussianProcessRegression()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 3: Perform Inference" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:03.048667Z", + "start_time": "2018-10-04T04:51:21.066425Z" + }, + "scrolled": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Average Loss = 272.69: 100%|██████████| 200000/200000 [06:29<00:00, 513.46it/s]\n", + "Finished [100%]: Average Loss = 272.69\n" + ] + }, + { + "data": { + "text/plain": [ + "GaussianProcessRegression(prior_mean=0.0)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(X_train, y_train)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 4: Diagnose convergence" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:03.296725Z", + "start_time": "2018-10-04T05:00:03.051158Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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MaDeUncuGGrS1ppyELall8n5Nqt8va4iqH9/ZR73OnJtIUfCgFG4GHDre2A3FLr7N6pQU6kufB3gb7PAxQh3WVrR6d5/WuzS6PkB3iF4XIA0o6JIpvTFu6af134CZY1K0EjYSsc6noehLIjHs9hZN7IX3D1/GMzH+uoOh/r3d/spjKDfQiJWq9xSrP+B43bxwXMvO12g5NkRFhZaWYiO3oAzhP4ui8NvdB5BpmZ9YE3MY7FMTQxZNdc9PJDJqa9GYtVnXCwFjzrc1B9a9d48QcxrMUZN2nk3VngmqD1sbMWwN1NuvfNyUi5OdxknbzdkebrXMnayPxvrbGPtTWjVrUuNUipqYb0oEaiudvnVpFrcGGthQrOs+m/F1jkEwKVoJC8iJdTY1LlA1etEY+nT1wKThXdA3yDivnaqu0f82ZnTSMlRL0RijLw15clc+NaiFi0Ot1e8iq2xl63rXZHWNcgjV8UA159a/ITApWglTjHA0FuWDvf8qlRtl+xKxCKPDNd9TZyxa/zbWfV5RMefzZ61l0/P7FD/ED2IRMLx/O3xx+maNcWEBrTFlZGC93hYCoNZCN7Su69xSbNjHmD0mRSth0pxorG+JleR5bfcUjcEcr4uUD05o6FvXjbNvhus+dbS3xcThATrjxGKR1leJGYJeo4K1ZNC61jFbimQRLOGe4qMmaUw3HD9zU+ugHWOeVsxpEE//YE8UPiyrf8vIiII6NNcdZCaM2RPk2UKGnLtFcLCTqBJebe8+tPKcyKRoNZgTzU5M77Zqb3N4FInFojpOpG9cB/89ssb3NAINa5l269gCOz+7ovUF1A1Vaz6qZ7JaNy8cD/8qg62NBPFD/PDb3SJMGqG71WutmBStRGM9BopMY89rw+rwvkUrPgYMvGu1JcSG6uzrhm2vxMBFxyu7zIWtjVg1UKhZU90vXmb3KVmERrpt1bis+Lun73lFn7lhVn7OahwN7K6s7S0jxqLPn53HSM34mDcr4V3leZNWwxoTvRkx9MMeyPiYzIyPLUUr0dzFcM8oJeMz9WCYvSuHae1CHNDNE4725ndaaOzbA7weq11nHzf8lHXP1MUwCl4qUoOZ+gRPlfTp8bOX2sDWRvMZpi+N74GkMTW8lPcRYm6DuauXZ9xQzZce63Ovr6H3BWeNtd5jhEmRiMhiVCazAcGetUbV9EB75ZN0nPR4fu2jxvz6SYgeBWxc66WxW24tFK9M87LQe/Uda3if5sb5kfjjfrHGS7X1Zc0jUJkUiayEmfX4WbSwgFaY83QIQvxamrooADQn7yunUHi5y1TL6pKnZA62kDkY77Vi1oBJkcgEjPp6ISu8im/0Z6qLRIjo4d3In6qb8k/bxMEWW5ZEq7X4qt7bN3bL2vqOsL8xKZLZslFMGbCRWPNXkOqEzWANzZrWPOJ87BA/4364FX8lmRTJbNlIxNg4P0LVVUS1M7cRk9S4qnYQ+Hm7mq4gFo5JkRrMmL11bVpa5kAHXYw5jcUaL+L5GMNK1vi3NTeckkFEZo+tYPNizXOTmRSJTMEY5xRmDqtVpz9tI+YpKxzLpcKkSGRlrPGEVdv7/R4prAejY1K0IDYS7X+uqnOViKwRc4FurCLDYFK0IDW9tPTfyQMbuSTUUEbpPTXCNsk81Kn3tBGvHKxxLqwSk6IFsbPVfIAzUDmRl8iaMeFXsuJcZDaYFKnB+D3VnzVfaZP1s+ajl/MUiayEjUSEMjkg1vKeRLJs1Z99amotXB0wMMQTPTq7m7ooBsekSGQllk/rix2fXsGoge1NXRTDM6+cYDK1Xe40ZueDSCTCi+N6NN4HNiImRUvCBgDVwr+tG5ZP62vqYhBZNN5TJCKzx8e8VaqtNWjNT5lpTEyKRCbAcTZE5olJkYjIzJnbY96sGZMiNRybPWRkZjb40oT4XTM2JkUiE+D9HyLzZFFJ8ZtvvsGkSZPQo0cPBAYGIjY2Fu+++y7kcrlGbH5+PpYtW4aIiAgEBwdj9OjROHLkiNbtFhcX46233sKQIUMQFBSE2NhYpKWlaZ0bJJfLsWXLFsTGxiIoKAiRkZHYsGEDysrKDL6/RERA3QYa8TLLMCwmKX700UeYPHkyLly4gCFDhuDpp58GALz55ptITk5WS2APHz7E5MmTsWvXLgQHByMhIQEFBQWYM2cOduzYobbd8vJyzJ49Gxs3boSvry8SExNhY2ODZcuWISUlRaMcy5Ytw8qVK+Hi4oLExES4u7tj7dq1eOGFF4xbAWRV2ONM9VHr6FMeVAZhEfMU//rrL7z22muQyWQ4cOAAvLy8AABlZWWYMWMGvvzyS3zxxReIjo4GAGzbtg2XL1/GkiVLkJCQAACYMWMG4uPj8cYbb2Do0KFo1qwZAODIkSM4efIkJk+ejPnz5wMAZs+ejWeffRbvv/8+4uLi4O/vDwA4d+4cdu/ejZiYGKxZswYikQiCIGDBggU4ePAgTpw4gfDw8MauHiIiXmgZiEW0FL///nvk5+djzJgxqoQIALa2tpg2bRoA4P/+7/9Uy3fu3InmzZsjPj5etUwmk2H69OkoLi7G4cOHVcvT0tJgY2OD6dOnq233+eefhyAI+PDDD9ViASApKUl1VSYSiTB37lyIRCLs3bvXwHtORAQ+0acRWURSbNOmDebOnYshQ4ZorJNKpQAqu0wB4ObNm8jLy0NoaCgkEvW3SoSFhQEAzpw5AwAoLS3FxYsX0alTJzRt2lQtNigoCA4ODqpYAEhPT4erqyv8/PzUYt3d3eHj46MWS1QrXtXrxdye/WkqPGyMzyK6T9u3b4/27bU/z/HYsWMAgA4dOgCoTIoA4O3trRHbokUL2NnZISsrCwCQk5MDuVyuNVYikaBVq1aq2NLSUuTm5iI4OFhrOTw9PZGZmYl79+7Bzc1Nr/2zdOy2ISJrYREtxZpcu3YN27Ztg1QqxeOPPw6gctQpADg7O2v9HZlMhsLCQrVYJycnrbFOTk4oLi6GXC6vUywA1baJasPrCNKHub1k2JqZtKUYERGBnJycWmMSEhKwZMkSjeW5ubmYOnUqiouLsXDhQrRu3RoAVNMzlN2q1UmlUhQXF9c5FgBKSkr0iiUiw2LnqQITn9GZNClGRUXh3r17tcYEBQVpLLtx4wYmTZqEnJwcxMfHY+LEiap1dnZ2ACq7O7UpLS2Fo6OjWmxNcwxLS0shEong4OCgSna1xQKAg4NDrftDRETmy6RJcdGiRXr/zoULFzBt2jTcu3cP8fHxeOWVV9TWKwfMFBUVaf39oqIi1XQMXbGFhYVwdHSEWCyGTCaDWCyuNRaouXuVqCp2denpEW8q+rSuvB0U3LF5jTE8ogzDIgbaKH399ddISkrCw4cPMX36dMyZM0cjxsfHBwCQnZ2tse7OnTsoKSmBr68vgMrBMba2tlpjy8vLkZubqxrgI5VK4eHhoTVW+Xlubm5wcXGp7+4REWkV2dMbLjI7dO1Qc1J0alJ5C0dqK6kxhnSzmIE2P/zwA2bOnIni4mIsWrRIa0IEAA8PD3h4eODs2bOoqKhQW3f69GkAQEhICADAxsYGwcHB+PHHHzVagBcuXEBxcbEqFgBCQ0Nx9+5dZGZmqsXm5eUhKyurxpGpREQNIRGL0CugFRzsam7HuDnbY9XM/vjPoqhGLJn1sYik+ODBA8yZMwfFxcVYsGABJkyYUGv8yJEjkZubq/ZIt6KiImzatAn29vYYNWqUanlcXBxKS0uxbt061bKysjKsWbMGADBmzBi1WABYvXq1KuEKgoDU1FQAwNixYxu4p5aJ3TZkbJynWDcB7ZrBzdne1MWwaBbRfbpnzx789ttvcHFxQWFhoVoCU2rXrh2GDRsGAJg6dSo+/fRTrFixAmfOnIGXlxc+//xz3Lp1C4sXL1abRzh69Gjs27cPW7ZswdWrVxEQEIBTp07hypUrmDx5suoRbwDQt29fxMbG4siRIxg7dizCwsKQkZGB9PR0xMTEYPDgwUavC7JsPTq7I/2nPLRq1sTURSEiLSwiKSqfFJOfn4/169drjYmMjFQlRZlMhrS0NKSmpuLEiRM4deoU2rVrh9TUVFWMkkQiwebNm7Fu3TocPXoUZ8+ehbe3N5YsWaJ66HhVKSkp6NChAw4cOICtW7fCw8MDs2bNwtSpUzl4gnRaMiUMxSVyONrbmrooRKSFRSTFt99+W+/fad68OV577bU6xcpkMixcuBALFy7UGWtra4uZM2di5syZepepofgOPssnEomYEOuBnafUWCziniIREVFjYFIkIiJSYFIkIrPHwafUWJgUqeE4wIiIrASTogVh7iEiMi4mRSKyAOw/pcbBpGhBtN1XYeuRiMhwmBQtiKDlann/6yNMUBKixsWBNtRY9J68/+OPP+LYsWO4desW/vzzT7i5ucHDwwNRUVEIDAw0RhmpFjYSXtcQERlKnZPitWvXsHDhQly8eBGA5gN633nnHXTp0gWvv/46OnToYNhSEhERNYI6JcXz589jwoQJ+Ouvv+Dv748hQ4agXbt2cHFxwcOHD3Ht2jUcP34cFy5cwJNPPonNmzejR48exi77I8dcH/NmnqUia2InNcw7AvsFe8BBahFPtyQT0Xl0FBUVISkpCYIgICUlBSNHjtSIiYqKwrRp0/D5559j/vz5mDt3Lj7++GM4OzsbpdBE9GgJ8WuJJ8I7oH83zwZtZ0FiTwOViKyVzhtSH374Ie7evYuVK1dqTYhVRUdH4/XXX8edO3ewf/9+gxWSiB5tYrEIE4cHoEMbF1MXhayczqR49OhRdOrUCbGxsXXaYHR0NAICAnD06NEGF46IiKgx6UyKN2/eRPfu3fXaaI8ePXDjxo16F4qIiMgUdCbF4uJiODo66rVRqVSKsrKyeheKtONEfSIi49KZFN3d3XH16lW9Nvrzzz/D07NhN8TJckhtOVeSiKyDzrNZWFgYvvnmG1y/fr1OG/z111/xzTffoG/fvg0uHJm3N2cPRFRPbwzo1sbURSEiMgidSXHChAkQBAGzZ8/G77//Xmvs7du3MXPmTIhEIowbN85ghSTz5OftitnxIbC1YUuRiKyDzrNZ+/btMXfuXPzyyy8YMWIE1q9fj/Pnz6OgoAAVFRV4+PAhfvzxR6xduxajRo3CjRs3sHTpUrRpw9YDERFZljo92mHKlCmwt7fH66+/jg0bNmDDhg0aMYIgwMnJCa+99hpGjx5t8IISEREZW52fd5SQkIDo6Gh88MEH+Pbbb5GZmYnCwkI0bdoUXl5eiIqKQlxcHJo3b27M8hIRERmNXg8BbNGiBZKTk5GcnGys8hAREZkMR0gQEREp6NVSLC8vh0Si/rT6X3/9FZs2bcLPP/8MmUyGyMhIjB8/HnZ2dgYtKBERkbHVKSlevHgRKSkpyMjIgEQiQXR0NF5++WXk5uZi3LhxKCoqUsX+8MMP+OSTT5CWlqb3k3CodvYGen0OERFppzMpXrlyBQkJCSgrK0PHjh1hY2ODTz75BNeuXYOrqysqKiqwePFi9O7dG/fv38fmzZtx4sQJbN26Fc8991xj7MMjQ8TnvBERGZXOpLhx40ZIJBKkpaWha9euAIDLly9j3Lhx+Omnn/Dqq6/iiSeeUMVv2LAB0dHROHbsGJMiERFZFJ0Dbc6dO4fIyEhVQgSAgIAAREVFAQAGDRqkFi8SiRAZGcm3ZBARkcXRmRT//PNPtG7dWmO5h4cHAMDNzU1jnUwmw8OHDw1QPCIiosajMynK5XKtI0ltbW0rNyDWvglBEBpYNCIiosbFeYoWhNcZRETGVaekyFGPRET0KKjTPMWtW7di//79assKCwsBAJGRkRrxynVERESWpE5JsaCgAAUFBVrX5eTkaF3O1iUREVmaOk3eJyIiehRwoA0REZGCUZLiP//5T75omIiILI5RkuKNGzfw008/GWPTRERERsPuUyIiIgUmRSIiIgUmRSIiIgUmRSIiIgUmRYvCh58SERmTzsn7iYmJem+UE/6JiMgS6UyKp0+frteG+Zg3IiKyNDqT4vHjxxujHERERCanMyl6enrqvdHMzExcv369Xr9LRERkKjoH2nTu3BkbNmzQWH7+/Hls27ZN6+988sknSEpKanjpiIiIGpHOpCgIAgQtr3w/derLe9BtAAAgAElEQVQUVq5caZRCERERmQKnZBARESlYbFJ88OABIiIiEBERoXV9fn4+li1bhoiICAQHB2P06NE4cuSI1tji4mK89dZbGDJkCIKCghAbG4u0tDStLWS5XI4tW7YgNjYWQUFBiIyMxIYNG1BWVmbQ/SMiosZnsUkxNTUVOTk5Wtc9fPgQkydPxq5duxAcHIyEhAQUFBRgzpw52LFjh1pseXk5Zs+ejY0bN8LX1xeJiYmwsbHBsmXLkJKSorHtZcuWYeXKlXBxcUFiYiLc3d2xdu1avPDCC0bZTyIiajw6R5+ao/T0dKSlpdW4ftu2bbh8+TKWLFmChIQEAMCMGTMQHx+PN954A0OHDkWzZs0AAEeOHMHJkycxefJkzJ8/HwAwe/ZsPPvss3j//fcRFxcHf39/AMC5c+ewe/duxMTEYM2aNRCJRBAEAQsWLMDBgwdx4sQJhIeHG3nviYjIWCyupVhSUoKXX34Z3bt3h0wm0xqzc+dONG/eHPHx8aplMpkM06dPR3FxMQ4fPqxanpaWBhsbG0yfPl21zNbWFs8//zwEQcCHH36oFgsASUlJqocTiEQizJ07FyKRCHv37jXovhIRUeOyuKS4bt06/Pbbb1i+fLnWp+bcvHkTeXl5CA0NhUQiUVsXFhYGADhz5gwAoLS0FBcvXkSnTp3QtGlTtdigoCA4ODioYoHKFqqrqyv8/PzUYt3d3eHj46MWS0RElqdO3aenT5/G+vXr1ZZ9//33AIANGzZoDEhRrjO0S5cu4b333kNSUhLat2+vNebmzZsAAG9vb411LVq0gJ2dHbKysgAAOTk5kMvlWmMlEglatWqlii0tLUVubi6Cg4O1fq6npycyMzNx7949uLm51WPvdNMy7oeIiAyozkmxpmegrlu3TutyQz/7tKysDIsWLUL79u0xderUGuPy8/MBAM7OzlrXy2QyFBYWqsU6OTlpjXVyckJmZibkcnmdYgGgsLDQaEmRiIiMS2dSNOYE/YiIiBpHkColJCRgyZIleOedd/DLL79g9+7dsLW1rTFeLpcDAKRSqdb1UqkUxcXFdY4FKu9j6hNLRESWSWdSfPzxx4324VFRUbh3716tMUFBQfjll1+wadMmJCYmIigoqNZ4Ozs7AJXdndqUlpbC0dFRLbamOYalpaUQiURwcHBQJbvaYgHAwcGh1vIREZH5MumUjEWLFumMKS8vR3x8PFq2bInZs2frjFcOmCkqKtK6vqioSDUdQ1dsYWEhHB0dIRaLIZPJIBaLa40Fau5eNTSprQSOdhY5o4aIyGyZ/Vn19u3buHDhAgAgJCREY31hYSH8/f3Rq1cvbN++HT4+PgCA7Oxsjdg7d+6gpKQEvr6+ACoHx9ja2mqNLS8vR25urmpAj1QqhYeHh9ZY5ee5ubnBxcWlXvuprz0rYgG+s5KIyKDMPik6OzvX+MaNd999F3Z2dpgwYYLqNVUeHh7w8PDA2bNnUVFRAbH471knysFCyuRqY2OD4OBgXLhwAUVFRWrzHi9cuIDi4mK1RBwaGoqPPvoImZmZqsQKAHl5ecjKymrUifsSicXNpiEiMnsWkRSTk5O1rtu6davW9SNHjsSmTZuwY8cOJCYmAqjsIt20aRPs7e0xatQoVWxcXBzS09Oxbt06LFy4EEDlfcM1a9YAAMaMGaMW+9FHH2H16tV46623IBaLIQgCUlNTAQBjx4413I4TEVGjM/ukWB9Tp07Fp59+ihUrVuDMmTPw8vLC559/jlu3bmHx4sVqUyZGjx6Nffv2YcuWLbh69SoCAgJw6tQpXLlyBZMnT1Y94g0A+vbti9jYWBw5cgRjx45FWFgYMjIykJ6ejpiYGAwePNgEe0tERIZilX1wMpkMaWlpeOKJJ5Ceno6dO3fC2dkZqampGDdunFqsRCLB5s2bMXHiRFy7dg3btm1DeXk5lixZghdffFFj2ykpKZg1axb+/PNPbN26Fb///jtmzZqFN954w+BzM4mIqHGJBG3vRyKjyc7ORmRkJI4fP442bdro9bv7vvwFWz75EQBw+M1ROqKJiEhfVtlSJCIiqg8mRQvCJj0RkXExKRIRESkwKRIRESkwKRIRESkwKRIRESkwKRIRESkwKRIRESkwKRIRESkwKRIRESkwKRIRESkwKRIRESkwKRIRESkwKVoQvtCEiMi4mBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBSJiIgUmBQtiCCYugRERNaNSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSZGIiEiBSdGCCODDT4mIjMmikmJBQQFWrVqF8PBwBAUF4bHHHsOGDRtQUlKiEZufn49ly5YhIiICwcHBGD16NI4cOaJ1u8XFxXjrrbcwZMgQBAUFITY2FmlpaRC0PIFbLpdjy5YtiI2NRVBQECIjI7FhwwaUlZUZfH+JiKhxWUxSLCgowDPPPIMtW7bAz88PCQkJcHR0xNq1a/HCCy+oxT58+BCTJ0/Grl27EBwcjISEBBQUFGDOnDnYsWOHWmx5eTlmz56NjRs3wtfXF4mJibCxscGyZcuQkpKiUY5ly5Zh5cqVcHFxQWJiItzd3bWWgYiILJBgIf71r38Jfn5+wo4dO1TLysvLhWnTpgl+fn7C6dOnVcs3btyoEVtYWCgMGzZMCA4OFn7//XfV8kOHDgl+fn7CqlWrVMtKS0uFxMREwd/fX7hy5Ypq+dmzZwU/Pz8hOTlZqKioEARBECoqKoSXXnpJ8PPzE7788kud+3Hr1i3Bz89PuHXrlt518MEXV4Thcw8Kw+ce1Pt3iYhIN4toKT58+BD79+9H9+7dkZCQoFouFosxY8YMjB49GnK5XLV8586daN68OeLj41XLZDIZpk+fjuLiYhw+fFi1PC0tDTY2Npg+fbpqma2tLZ5//nkIgoAPP/xQLRYAkpKSIBKJAAAikQhz586FSCTC3r17Db/zRETUaGxMXYC6OHPmDIqLixETE6OxLigoCEFBQaqfb968iby8PMTExEAikajFhoWFqbY3ceJElJaW4uLFi+jUqROaNm2qsV0HBwecOXNGtSw9PR2urq7w8/NTi3V3d4ePj49aLBERWR6LaClevXoVANChQwccPHgQcXFxCAoKQkREBDZs2KDWSrx58yYAwNvbW2M7LVq0gJ2dHbKysgAAOTk5kMvlWmMlEglatWqlii0tLUVubq7WWADw9PREQUEB7t2715BdJSIiE7KIpHjnzh0AwI4dO7Bo0SK0bdsWTz31FGxtbbF27Vq8+OKLqtj8/HwAgLOzs9ZtyWQyFBYWqsU6OTlpjXVyckJxcTHkcnmdYgGotk1ERJbHpN2nERERyMnJqTUmISEBpaWlAICvvvoKmzdvRv/+/QFUTqWYMmUKjhw5gmHDhiEqKkrVapRKpVq3J5VKUVxcDAB1igWAkpISvWKJiMgymTQpRkVF6exuDAoKwrlz5wAAkZGRqoQIAA4ODnj++ecxfvx4HD16FFFRUbCzswMAVSKtrrS0FI6OjgCgiq1pjmFpaSlEIhEcHBxUya62WGWZiIjIMpk0KS5atKhOccp7igEBARrrOnfuDAC4desWAKgGzBQVFWndVlFREZo1a1an2MLCQjg6OkIsFkMmk0EsFtcaC9TcvUpERObPIu4p+vj4ANDeSlMus7e3V4vNzs7WiL1z5w5KSkrg6+sLoHJwjK2trdbY8vJy5ObmqmKlUik8PDy0xio/z83NDS4uLvrtHBERmQ2LSIqhoaEAgO+++05j3aVLlwAA/v7+AAAPDw94eHjg7NmzqKioUIs9ffo0ACAkJAQAYGNjg+DgYPz4448aLcALFy6guLhYFassx927d5GZmakWm5eXh6ysLAQHBzdkN3WyEVf+uSRikVE/h4joUWURSbF9+/bo0aMHzp07h0OHDqmWP3jwAGvWrIFYLMbo0aNVy0eOHInc3Fy1R7oVFRVh06ZNsLe3x6hRo1TL4+LiUFpainXr1qmWlZWVYc2aNQCAMWPGqMUCwOrVq1UJVxAEpKamAgDGjh1ryN3WMLSvD3oHtkJK8gCjfg4R0aNKJAhannpthq5fv46EhATk5+cjIiICnp6eOHnyJLKysjB16lTMmzdPFVtUVIQnnngCWVlZiI6OhpeXFz7//HPcunULixcvxrhx41Sx5eXlSEhIQEZGBvr27YuAgACcOnUKV65cweTJkzF//ny1csyZMwdHjhxBUFAQwsLCkJGRgfT0dMTExGDNmjWqJ93UJDs7G5GRkTh+/DjatGlj2EoiIqIGsZikCAC//fYb1q1bh5MnT6KoqAi+vr4YP348nnzySY3Y33//HampqThx4gSKi4vRrl07TJkyBcOGDdOILSoqwrp163D06FHk5+fD29sbTz/9NJ5++mmIxeqN6bKyMrz77rs4cOAA8vLy4OHhgZEjR2Lq1Kk1TteoikmRiMh8WVRStAZMikRE5ssi7ikSERE1BiZFIiIiBSZFIiIiBSZFIiIiBSZFIiIiBYt4ybA1KS8vBwDk5uaauCRERJanVatWsLExXupiUmxkd+/eBVD5SiwiItKPsaezcZ5iI/vrr79w6dIltGjRAhKJxNTFISKyKMZuKTIpEhERKXCgDRERkQKTIhERkQKTIhERkQKTIhERkQKTooWQy+XYsmULYmNjERQUhMjISGzYsAFlZWWmLlqDvPXWW/D399f635w5c9RiDx48iLi4OHTr1g0DBw7EypUr8eDBA63b/eqrrzB27FiEhISgT58+WLRoEf744w+tsRkZGZg4cSJ69uyJXr16YdasWbh165bW2F9//RUzZsxAnz59EBoaiilTpuDy5csNq4Ra5OXlITQ0FFu2bNG63tLq5Pbt23jxxRcxYMAAhISE4JlnnsE333yjuyL0UFud7d27t8bj7amnntKIt9Y6u3v3LpYsWYJBgwYhMDAQ/fr1w7x587SW91E7xjj61EIsWbIEu3fvRmhoKLp3745z587h7NmziImJwdq1a01dvHqbPn06vv76a/zjH//QWNexY0c89thjAIB33nkHqamp8Pf3x8CBA3H16lWcPHkSISEh2LZtm9q7LD/++GO88MIL8PLyQnR0NG7fvo1PP/0Ubdq0wb59++Ds7KyKPX36NCZPnoymTZti2LBhKCwsxMcffwxHR0fs27dPbT7UtWvXEB8fj4qKCowYMQIikQiHDh1CWVkZduzYgaCgIIPWzYMHDzBp0iScP38eCxcuxMSJE9XWW1qd/P777xgzZgzu3r2LESNGwMnJCZ988gn++OMPbNiwAZGRkUavs1dffRXbt2/H1KlTYWdnp7auVatWGDNmjNXX2d27dzFmzBjcvn0b/fr1g7+/PzIzM/HVV1+hadOm2L17N3x8fAA8oseYQGbv7Nmzgp+fn5CcnCxUVFQIgiAIFRUVwksvvST4+fkJX375pYlLWH/h4eFCXFxcrTHZ2dlCly5dhLFjxwqlpaWq5W+99Zbg5+cnbN++XbWsqKhI6NmzpxAZGSkUFhaqlu/du1fw8/MTVq1apVpWXl4uxMTECD169BBu376tWv7NN98I/v7+QnJyslo5Jk2aJHTp0kX48ccfVct+/vlnITg4WBg9erT+O69jnx9//HHBz89P8PPzE95//32N9ZZWJ//85z81jtfc3FyhX79+woABA4SSkhI9a0mdrjoTBEEYN26c0KtXL53bsuY6W7x4seDn5ye89957assPHjwo+Pn5CdOmTRME4dE9xth9agHS0tIAAElJSRCJRAAAkUiEuXPnQiQSYe/evaYsXr0VFRUhJycH/v7+tcbt2bMHcrkc06ZNg62trWr59OnTIZPJ1Pb/k08+wf379zFx4kTIZDLV8ieffBK+vr7Yv3+/6lF73377LTIzM/Hkk0+iVatWqtg+ffqgX79+OHbsGP78808AQFZWFr7++mtERkaic+fOqlg/Pz+MHDkSly5dwk8//dSwClHYsmULRowYgStXrqB3795WUScPHjzAwYMHERAQgPDwcFWsu7s7xo8fj7y8PPzf//2fUesMAK5evQo/Pz+d27PmOjt27Bjc3NwwYcIEteWjRo2Ct7c3/ve//6GiouKRPcaYFC1Aeno6XF1dNb7M7u7u8PHxwZkzZ0xUsoa5cuUKAOhMisr969Wrl9pyOzs7dOvWDVeuXEFhYaFabFhYmMZ2evXqhfz8fPzyyy86Y8PCwlBeXo6zZ8/WKRao7BIyhG3btsHT0xM7duzAqFGjtMZYWp1cuHABpaWlRqu/utRZbm4u8vPzdR5vgPXWWXl5OaZNm4akpCSIxZqnf6lUirKyMsjl8kf2GGNSNHOlpaXIzc2Ft7e31vWenp4oKCjAvXv3GrlkDffzzz8DAO7du4dJkyahZ8+e6NmzJ2bNmoXr16+r4m7evInmzZujSZMmGtvw9PQEAGRmZgKA6ka9l5eXRqzyPkVdYpXbzcrK0ju2of71r3/h4MGD6N69e40xllYnN2/eBACtx7Eh6q8udaY83srKylSDNkJCQjBlyhRcuHBBLdZa60wikWDChAlan7187do1XL9+Hd7e3pBKpY/sMcakaOby8/MBAE5OTlrXK5crr9gsifIk9d5770Emk2HMmDEICgrCZ599hqeeekrVLZKfn69z/4uKigAAf/75J6RSKezt7TVild06ylhl3VYdAFA9VlmvtcUa+m8wYMAAnc/FtbQ6MXb91aXOlMfbBx98gJKSEowePRr9+vXDt99+i2eeeQanTp1SxT4KdVZVRUUFli9fjoqKCtUo3Ef1GONbMsycXC4HALVRXlUpl5eUlDRamQxFIpHA09MTK1euVOvyOHToEF588UUsWrQIBw4cgFwur/P+6xOrnM6iLV65rLS0VO/YxmBpdVKXWGMfwxUVFfD09MTzzz+PkSNHqpafPn0aEydOxMKFC3H8+HHY2dk9UnUmCAKWLFmCb7/9FoGBgap7jY/qMcaWoplTXnnVNB9ReUA4ODg0WpkMZenSpfjyyy817gGMHDkSPXv2xI8//ojr16/D3t6+zvuvbyygvW4bEtsYLK1O6hLr6OiotYyGMn36dHz55ZdqCRGovOc1YsQI3L17V3XP6VGpM7lcjkWLFmHv3r3w8vLC22+/rUogj+oxxqRo5mQyGcRisarroTpld0BN3RyWqkuXLgCA7OxsODs719jtUX3/nZ2dUVJSorXVpqzDqrFVt1HfWFP8DSytTpo2baoztuqoxcZW9XgDHo06Ky4uxowZM7B//374+Phg27ZtcHd3V61/VI8xJkUzJ5VK4eHhofqyVpednQ03Nze4uLg0cskaRi6X48KFCzh//rzW9X/99ReAypFuPj4++OOPP1TLqsrJyYFYLEbbtm0BQDXpWFt9KZf5+vrqHav8f11iG4Ol1Yk+2zWWy5cv1zhSW9mtppzQb+11dv/+fUyYMAEnT55Ely5dsHPnTnh4eKjFPKrHGJOiBQgNDcXdu3dVo7eU8vLykJWVheDgYBOVrP4qKirwzDPPYOrUqar5S0qCICAjIwM2Njbo3LkzQkNDUVFRgfT0dLW4kpIS/PDDD+jQoYPqCjA0NBQAtJ78vv/+ezg5OaF9+/Y6Y0+fPg2xWKx6WoauWADo1q1b3SuggSytTgICAmBvb19rbEhIiK7dbpCZM2ciMTFR60ht5RSAwMBAANZdZyUlJZg2bRrOnz+PXr16Yfv27WjWrJlG3KN6jDEpWoC4uDgAwOrVq1FRUQGgMnGkpqYCAMaOHWuystWXVCpFeHg47t+/j3fffVdt3XvvvYerV69i+PDhcHZ2xvDhwyGRSLB+/Xq17plNmzahqKhIbf+joqLQpEkTbN68WTUaDQA+/PBDZGVlYcyYMar5Wb169YKHhwd2796tdnX57bff4uuvv8aQIUPg5uYGoHJIePfu3fHZZ5/h4sWLqtirV6/i0KFDCAwMREBAgGErqRaWVieOjo4YMmQIMjIycPz4cVVsXl4etm/fjpYtW2Lw4MGGraRqHnvsMVRUVGD16tUQqjzd8ujRo/jqq6/Qs2dP1Vxga66z1NRUZGRkICQkBP/5z39q7FJ8VI8xPvvUQsyZMwdHjhxBUFAQwsLCkJGRgfT0dMTExGDNmjWqJ91YkuzsbMTHx+Pu3bvo27cvOnXqhEuXLuH06dPo0KEDduzYAVdXVwDAG2+8gf/85z9o3749wsPD8euvv+Krr75C9+7dsXXrVrURZ7t27cIrr7yC1q1bY+jQocjLy8PRo0fh7e2N3bt3q3U1f/XVV5gxYwacnJwwYsQIPHz4EIcPH4ZMJsOePXvU5kddunQJ48aNg0gkwogRIyCRSHDo0CHI5XJs377d4M8+BYD9+/dj4cKFWp/jaWl18ttvv+GJJ55AQUEBhg0bBldXV9VzKdevX2+QZ5/WVmcFBQWIj4/HtWvXEBwcjNDQUNUzP5s3b45du3ap7Zs11tndu3cRHh6OsrIyPPHEE2jdurXWuH/84x+ws7N7NI8xnQ+CI7NQWloqrF+/XoiMjBQCAwOF6OhoYf369Q1+XqSp5ebmCgsXLhT69esnBAQECOHh4cKqVauEgoICtbiKigphx44dQmxsrBAYGCiEh4cLr732mkac0ieffCI8/vjjQteuXYX+/fsLCxYsEPLy8rTGfv3118LTTz8tBAcHC3369BGSk5OFzMxMrbGXLl0SJk+eLHTr1k3o2bOnMHnyZOHChQsNqoPa7Nu3r8bneFpindy4cUNITk4WevToIYSEhAhPP/208L///a9OdVFXtdXZ/fv3hRUrVgiDBw8WAgIChH79+gkvv/xyjfVgbXX2xRdfqJ4NW9t/9+/fFwTh0TzG2FIkIiJS4D1FIiIiBSZFIiIiBSZFIiIiBSZFIiIiBSZFIiIiBSZFIiIiBSZFIiIiBSZFIjOxYMEC+Pv7q16uXFJSgvfee8/Epar0v//9T+3t9N9//z38/f2xYsUKE5aKyPCYFInMRFRUFJKSktC8eXMAwLhx4/D222+buFTAzp07MWXKFNy5c0e1zNPTE0lJSRgwYIAJS0ZkeDamLgARVYqKikJUVJTq5z/++MOEpfmbtnK0adMGycnJJigNkXGxpUhERKTApEhkJqreU/T390dOTg4KCwvh7++PBQsWqOKKiorwxhtvICoqCoGBgRgwYACWLl2q0aJTbu/ChQuIjY1F165dER8fr3pt0okTJ/Dss8+id+/eCAgIQO/evTFjxgzVPU0AGD9+PNavXw+g8n2E/v7+AGq+p5iZmYl58+ahb9++CAwMRFRUFFJSUjTehq4s2/3797F06VL069cPXbt2xejRo/HZZ58ZrlKJ9MTuUyIzlJSUhK1bt6KkpAT/+Mc/0LlzZwBAYWEhnnnmGVy9ehV9+vRBdHQ0srOzsWfPHpw6dQoffPABWrZsqbat5557Dl27dkW/fv3g6OgIkUiEHTt2YPny5fD29sbw4cNha2uLixcv4vjx4/juu+/w6aefomXLlnj88ccBVL6kNTY2Fu3atauxzOfPn8fEiRPx119/ITw8HF5eXvjhhx/w3//+FydOnMCuXbvUXh8EAJMmTUJ+fj6GDh2qen3Q7NmzsXnzZvTv39/AtUqkG5MikRlKTk7GgQMHUFBQoHbvLjU1FVevXsWSJUuQkJCgWn78+HHMmDEDK1aswJo1a9S21b17d6xbt071c2lpKVavXg0fHx8cOHAAjo6OqnWvvPIKdu3ahRMnTmDs2LEYPXo0cnJycPr0aQwbNkztnmdV5eXleOmll1BaWop33nkHAwcOVK1TvpMvJSUFr732mtrvSSQSfPzxx6oy9OnTB/PmzcO+ffuYFMkk2H1KZCHkcjkOHjyIjh07qiVEAIiMjET37t3xxRdfoKioSG1ddHS02s/l5eVYvnw5VqxYoZYQgcq3ogP6D/LJyMhAVlYWhg0bppYQAWDWrFlwd3fH4cOH1d7gDgAJCQlqZRg0aBAAICcnR6/PJzIUthSJLERmZiYePnyI8vJytZafUklJCcrLy/Hzzz8jNDRUtbxNmzZqcQ4ODoiNjVVt89q1a7h58yZ++eUXfPvttwCAiooKvcqmvA/Zs2dPjXVSqRRdu3bFsWPHcP36dXTq1Em1ztfXVy3WyckJADSSJ1FjYVIkshAFBQUAgOvXr6sGv2hz//59tZ/t7e01Ys6cOYOVK1fi8uXLAAA7Ozt06tQJAQEBuH37NvR997iydSqTybSuV97nLC4uVlsulUrVfhaJRACg9+cTGQqTIpGFaNKkCQBg1KhRSElJqfd2cnJy8Oyzz8Le3h7Lly9HaGgofHx8IJFIcOTIERw7dqzeZcvLy9O6XpnQqw+0ITI3vKdIZCF8fX0hlUpx+fJlrS2pLVu24O2338aff/5Z63aOHTuGv/76C7NmzcJTTz2F9u3bQyKRAACuXbsGQL2lpmy91UY5OvbcuXMa6yoqKnD27Fk4OjrC09NT57aITIlJkchM2draQi6Xq362s7NDbGwsfv31V7z//vtqsd9//z1SUlKwb98+NG3atNbt2tnZAQB+//13teVXrlzBtm3bAEDtc21sKjuUarvPFxoairZt2+Lzzz/HyZMn1datXbsWt2/fxtChQzW6S4nMDbtPicxUy5YtkZWVhXnz5qF///6Ii4vD/PnzkZGRgddffx3Hjx9HUFAQ8vLy8Pnnn8PGxgavvfYaxOLar3XDw8Px5ptv4p133sH169fh7e2NGzdu4MSJE6qBLvn5+ap4d3oPydIAAAEYSURBVHd3AMDGjRvx008/ISkpSWObYrEYq1atwpQpUzB9+nSEh4fD29sbGRkZ+OGHH9C+fXu89NJLBqwdIuNgS5HITL344ovo2LEjPv30U3z00UcAADc3N+zZsweTJ09GXl4etm/fjvT0dERERGDPnj0ICwvTuV13d3e8//776N27N7777jvs3LkTmZmZGD9+PI4ePQoXFxecOnVK1YUaGxuLoUOH4tatW9i5c2eN0yW6d++ODz/8ELGxscjIyEBaWhry8/Px3HPPYe/evbyfSBZBJHCYFxEREQC2FImIiFSYFImIiBSYFImIiBSYFImIiBSYFImIiBSYFImIiBSYFImIiBSYFImIiBSYFImIiBSYFImIiBT+H0fycaaEFJzqAAAAAElFTkSuQmCC\n", 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(model.trace, lines = {\"signal_variance\": signal_variance_true, \n", + " \"noise_variance\": noise_variance_true, \n", + " \"length_scale\": length_scale_true}, \n", + " varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:13.373017Z", + "start_time": "2018-10-04T05:00:12.938507Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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meansdmc_errorhpd_2.5hpd_97.5
signal_variance__01.0376871.3390270.0134680.0098903.296518
length_scale__0_02.2521742.2317190.0252610.1194576.266875
noise_variance__03.0688200.2299300.0022352.6267103.515453
\n", + "
" + ], + "text/plain": [ + " mean sd mc_error hpd_2.5 hpd_97.5\n", + "signal_variance__0 1.037687 1.339027 0.013468 0.009890 3.296518\n", + "length_scale__0_0 2.252174 2.231719 0.025261 0.119457 6.266875\n", + "noise_variance__0 3.068820 0.229930 0.002235 2.626710 3.515453" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pm.summary(model.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:14.129329Z", + "start_time": "2018-10-04T05:00:13.428954Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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WF198UeGxhqenp3788UedOHFChw4d0muvvaaioqIK9a9fv77atWuncePGKS4uTvv27dOiRYsUFhamevXqqX379nrrrbcUGxuruLg4jRkzRunp6WUedlee7t27Kzc3V9OmTVN8fLwiIyOVk5NjuqAB3OsI9LjnNWrUSJGRkVq+fLkef/xxRUZGasyYMaaHwlwWGRkpFxcXPfPMM5o4caL69OlzzSlmV4qIiJCfn5+effZZvfDCC7Kzs9Nzzz1ndkX7RjRt2lQ+Pj7q3LmzaQqgvb293n//fW3btk3h4eF67733NGTIEPn7+1doP88//7xCQ0P1wgsv6Nlnn1VSUpIiIiIqXOPLL7+s8PBwjR49Ws8884zc3Nz0j3/8Q5L00ksv6dlnn9WUKVPUs2dPHTt2TEuXLpW/v3+Ftj1z5ky5ubnpmWee0YIFC/Tuu++qefPmFeoLAMCfoXr16lqyZIm+//57Pfnkk1q4cKHGjh1b7rvQR44cqZYtW2r48OHq0aOHTpw4oUWLFsnGxkbNmjXTrFmztHLlSvXo0UPLli3Te++9Z7rnvCJ69OihvLw8s+fcNG/eXBEREZo2bZp69uypVatWadKkSbpw4YKSk5Ovu81x48YpPz9fvXv3VkREhB544AE99thjFR4HzJw5Ux4eHnr22Wc1cuRI9ejRQ4MHDzatCwgI0Isvvqi//e1v8vPz08KFCyu0XVdXVy1ZskQxMTHq3bu3Dhw4oKioKNPthsC9zspY0Xk4wD0sLy9Pu3fvVocOHUwhfuPGjXr//fe1Y8eOKq4OAAAAwL2IK/RABTg4OGjcuHGaP3++zpw5o5iYGC1YsECPPfZYVZcGAAAA4B7FFXqggvbt26eZM2eaXmHXs2dPvfbaaxV+Km1FTJ8+Xd98881V1//1r3/Vm2+++aftr6qlp6era9eu12zz3XffVehp+AAAWLo+ffro5MmTV10/Z86ccl//Zqk2b96ssWPHXnV9gwYNtGLFittYEWB5CPTAHSQjI0NZWVlXXX/5afJ3i5KSErOn15endu3aZu+vBwDgbpWcnHzNh9H6+vrK2dn5NlZUuXJycsq8mvZK9vb2131PPXCvI9ADAAAAAGCBuOwFAAAAAIAFItADAAAAAGCBCPQAAAAAAFggAj0AAAAAABaIQA8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYINuqLuDPMDFqt1LSc2+oj7+3s6a+0q6SKgIAAMDdjjEogKp2VwT6lPRcJaflVHUZAAAAuIcwBgVQ1ZhyDwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAAAWiEAPAAAAAIAFItADAAAAAGCBCPQAAAAAAFggAj0AAAAAABbItqoLAAAAAP4sE6N2KyU994b6+Hs7a+or7SqpIgCoPAR6AAAA3DVS0nOVnJZT1WUAwG3BlHsAAAAAACwQgR4AAAAAAAtEoAcAAAAAwAIR6AEAAHBPs7Kq6goA4ObwUDwAAADc03w9nW/46fjBQV6VWBEAVAyBHgAAAPe8G306vp+XcyVWAwAVw5R7AAAAAAAsEIEeAAAAAAALRKAHAAAAAMACEegBAAAAALBABHoAAAAAACwQgR4AAAAAAAtEoAcAAAAAwAIR6CVduHBB7dq10+nTp6/ZLi4uTv369VNISIj69OmjX3/91bSuuLhYM2bM0MMPP6zmzZtr5MiRSktLM60vKCjQtGnT1K5dO7Vp00YTJkxQTk7F33UKAACAO8vF8yeU+P18Hd8wXid3ztSls/uv2T43LV57105XSEiInn/++TJjz+joaHXp0kXNmzfX4MGDlZycbFqXkZGh1157TQ899JA6deqkZcuWVcYhAbAw93ygv3jxooYMGaL09PRrtsvNzdXgwYMVEhKi1atXq0WLFnr11VeVnZ0tSZo3b562b9+uuXPnauXKlbpw4YLefPNNU//58+drz549Wrx4saKiorR//37NmjWrUo8NAAAAlSM/95IOblsoZ5/6Cuj4urzv76Jzsd8oL+Nkue2L8i4oae8y+dd7SKtWrZKPj4+GDRsmg8EgSdq2bZumTp2qUaNG6ZtvvpHRaNTo0aNN/SMiInT69GktXbpUkZGRWrZsmZYvX35bjhXAncu2qguoSvv27dOYMWPk4uJy3bYbNmyQnZ2dxo4dK2tra40bN067du3Sxo0b1bdvXxkMBo0fP14tW7aUJA0YMEAjR4409d+1a5eefvppNW3aVJLUv39/ffnll5VzYAAAAKhUuVkZ8qkTomoNu0uS7F28lXniP8pNPyknr8Ay7S8m7pFDtRpq2eEpfbrjvLK8HtXJ0zvUb+RCedVoqP3rZ6p6w05af8hJ6w+dVKFvZx3eMl8vTl6r/Kx07d+/Xxs3blRQUJAk6c0331RkZKQGDhx4W48bwJ3lTw/0Z8+eVZcuXbRw4UJNnz5dmZmZ6tevn3r37q23335bJ06cUJs2bTRnzhw5Ozvr66+/VlRUlDIyMtSwYUO9/fbbptB7/vx5vfvuu/rxxx+Vl5en+vXra/z48WrVqpVpPx9++KF+WjVVBTkX5ORdT/c1f1Y29i5KO7pFGce3lVtjYOexklz0/fff6y9/+Yt69Oihbt26XfO4YmNjFRoaKmvr0kkNVlZWCg0NVUxMjPr27Wv2DWpaWpqio6PVpk0b0zIPDw9t2bJFvXr1krW1tbZs2aIHH3zwFj9tAACAu8utjiVVo6skH0lScf4lnT+8Vrlp8TKWFMre1V++D/aUs3eQinIzdHLHDN3X4nlt+M9m5WRl3NBY0uuBBmoY9ryS03JkNBqUcz5OhTmpcvYOKrdPfmainL1Lg35Keq5SLhTJ3q2Gkk4dVa61r7LSTsuzUS8lp12+JdNVAZ3GKjVLykpOkq29synMS1LDhg2Vmpqqs2fPqlatWn/a5w/AslTaFfqPPvpICxcu1NGjR/XWW29p586dmjx5smxtbTVkyBCtWrVKNWvW1Ny5czV16lTVr19fGzdu1MCBA7V582b5+fnprbfekrOzs1asWCGj0ahZs2Zp0qRJ2rBhg2k/S5YsUXCHQUq9kK/kvcuUkbBLvo3C5VWvozwC2pZbm41D6RX5UaNGSSo9cVxPamqqAgPNv2319vZWXFyc2bIPPvhAixcvlru7u7766ivT8jFjxmjEiBGmkH///fdr4cKFFfgkAQAA7j03O5acN3+uAh55U7aO1XTulxWysnFQ7XbDJElpcRt0/uBq1X3kDdN+MuJ3KCz8FWVeylfs1sU3NJaUJENJkeI3TZCMBrkHtJGTV91y+xQXZMnGodoftuOq4vyLKsrNKN1WUZ7O7F6kwpxUOXnWlV/jXrJ1rFbarihf2dnZcnV1lSQlJSVJkjIzMwn0wD2s0u6hHzp0qBo2bKinnnpKHh4e6tGjh9q2batWrVrpoYce0okTJ/Txxx/rlVdeUdeuXVW3bl0NHTpUjRs3VnR0tCSpU6dOmjBhgurVq6f69evrueeeU0JCgoxGo2k/ERERquYbKCfPOnKr2Vz5F86UHpitg2wd3cr9sbK68cPOy8uTvb292TJ7e3sVFhaaLevdu7e++eYbtW7dWi+++KLpHvszZ87I399fn3zyiT799FPZ2dlpzJgxN1wHAADAveBmx5JuPnV0MfFnSZKLX7D8Gj8lBzd/Obj5yyOgnQqzz5uNJb0feFTe99VTNd/Amx5L1gmLUPVmzyor6Rdlnviu3OMxlhTKytr8WpqVta2MhmIZigskSSkHV8sjMEw1Wg6SoThfSXv/JaPRIEePOnJ08dTkyZOVnZ2tlJQUzZ8/X5JUVFT053zgACxSpV2hv/KbQgcHB9WoUcP0u6OjowoLC5WQkKA5c+Zo7ty5pnWFhYWqXr26pNL7zDds2KADBw7o5MmTOnTokCSppKTE1L5OnTrSnlOSSv/hlbF0XfrxHcqI31FubXUfGS3p+vfNX8nBwaFMeC8sLJSjo6P5tuvWlSTNnDlTHTt21JYtW9StWze9/fbb+vjjj9WiRQtJ0ty5c9W1a1cdPHhQTZo0uaFaAAAA7nY3O5bMy8uXq42bJMmjbhtlJccqI+OUCrNTlX/xv7MyjQZTeztnb9N/39hY0re0j42dHN1rydG9lorzLyrz5A/yDOpQpo+VtZ2MhmKzZUZDsaztXaT/fkHgVe8Rud1XOi6s3vyvOrF1mvIvnJGTZ4Ae7DRYBw9+rVatWsnNzU2jR49WbGys6Yo9gHtTpQV6W1vzTV++9/xKJSUlGjNmjMLCwsyWOzs7y2Aw6MUXX9TFixcVHh6uzp07q6ioSBEREWZt7ezszH6//IWrR0AbudVoWn5tf5juVBH+/v5KTU01W5aWliZfX18ZDAbt2LFDzZo1k49P6T1bTk5OqlmzpjIzM3XixAnl5uaW3tf1X7Vr15a7u7vOnDlDoAcAAPiDmx1LvrP4B6VdMshoNOjsTx+ppChPbjVC5OIfLKOhRL/v/9RsG1bWNma/V3QsmZWZoozkJMm+tmm5vaufSgrLfy2xrWM1lRRkmddfkCUHt+qydaxm6v+/fbjK2s5JxXmZkmeA3Lzr6MvNm5WWlqZq1aopMTFR1tbWZl90ALj3VOlr6wIDA3Xu3DkFBASYfj755BP9/PPPio+P1969e7V06VINHTpUjzzyiM6fPy9JZtOkrsbG3ln2Lj7l/vzxH+6KCAkJUUxMjGnfRqNRBw4cULNmzWRtba1p06Zp3bp1pvZZWVk6ffq06tWrJz+/0n+cExISTOtTU1N16dKl0hkGAAAAuGHljSXPHt6u3PQEFWadV17GSdVqPVje93eRq38jlRRcqvC2rzeWTD0bpyO7/iVDyf+uuudfTDIL5Vdy9KyjvIxTpt8NJYUquJQsR886snX0kK2ju/IvJpnWF+dnyVCUJ1snL5UU5urAhtlKT0+Xj4+P7O3ttWPHDgUHB3OFHrjHVWmgf+GFF/TZZ59pzZo1SkxM1Pz587Vq1SoFBQWpWrVqsra21oYNG5SUlKRNmzZp3rx5klRm6ntlSU1NVX5+viSpe/fuys3N1bRp0xQfH6/IyEjl5OQoPDxckvTcc89p8eLF+u6773Ts2DG98cYbqlu3rjp06KDq1avrkUce0YQJExQbG6u4uDiNHj1aLVu2VOPGjW/LsQAAANxtyhtL/n78J9m7+snazlGSlbKSY1WUm6ms5F+VfmyrJJWZ+n4zat3fUlbWNjp/aLUKs1N16ewBZZ74Tt73dyndh9Gg4vws077ca7dS/oVE/bZnnXIu/K6U2GjZOnnI2ae+rKys5BnUQenHtio75YgKslJ0LvZrObjXkKNHbdnYO8tQXKQZM2YoMTFRGzdu1IIFCzRs2LBbPg4Alq1K30MfHh6u9PR0zZ8/X+fPn1dQUJAWLFigRo0aSZImT56shQsX6p///KcCAwP1zjvvaOzYsTpy5IjpPvvKFBYWpsjISPXp00eurq5asmSJJk2apOjoaDVo0EBRUVGmb0VfeuklFRUVacKECbp48aIefvhhLVq0yDQ9bNasWZo5c6aGDx+u4uJitW/fXuPHj6/0YwAAALhblTeWbNz5FRU4lk5D92vSWxnHtyvt6CbZu/jK98GeOvfLSuVfTJadk/st7dve0UVNu0Xo8Pdf6fR//ilbBzf5PdhTrtVLX0tcnHdBJ3fMUK02r8rZp57snL1Uo+UAnf5tg3IurZODRx3VaDnI9IA9z6D2MhqKlfLrKhmK8+TsU181W70gKysrSVLwIy8qJWmTevbsKX9/f02bNk1dunS5pWMAYPmsjBWZv36HezVy2xXv7KyYGj4uWvJ210qqCAAAAFXhZsaFzR7w1fmM3BvqdzN9bqUfY1cA5anSKfcAAAAAAODmVOmUewAAAKA8E6N2KyU994b6BAd5VVI1AHBnItADAADgjpOSfuPT0v28nCupGgC4MzHlHgAAAAAAC0SgBwAAAADAAhHoAQAAAACwQAR6AAAAAAAsEIEeAAAAAAALRKAHAAAAAMACEegBAACAO5yVVVVXAOBOxHvoAQAAgDucr6ezJkbtVkp67g318/d21tRX2lVSVQCqGoEeAAAAsACvNDyeAAAgAElEQVQp6blKTsup6jIA3EGYcg8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAAAWiEAPAAAAAIAFItADAAAAAGCBCPQAAAAAAFggAj0AAAAAABaIQA8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAAAWiEAPAAAAAIAFItADAAAAAGCBbKu6AAAAANy9JkbtVkp67g31CQ7yqqRqAODuQqAHAABApUlJz1VyWs4N9fHzcq6kagDg7sKUewAAAAAALBCBHgAAAAAAC0SgBwAAAADAAhHoAQAAAACwQAR6AAAAAAAsEIEeAAAAuEtZWVV1BQAqE6+tAwAAAO5Svp7Omhi1WynpuTfUz9/bWVNfaVdJVQH4sxDoAQAAgLtYSnquktNyqroMAJWAKfcAAAAAAFggAj0AAAAAABaIQA8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAAAWiEAPAAAAAIAFItADAAAAAGCBCPQAAAAAAFggAj0AAAAAABaIQA8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAAAWiEAPAAAAAIAFsq3qAgAAAGAZJkbtVkp6boXbBwd5VWI1AAACPQAAACokJT1XyWk5FW7v5+VcidUAAJhyDwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAAAWiEAPAAAAAIAFItADAAAAAGCBCPQAAAAAAFggAj0AAAAAABaIQA8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAADNWVlVdAYCKsK3qAgAAAADcWXw9nTUxardS0nMr3Mff21lTX2lXiVUB+CMCPQAAAIAyUtJzlZyWU9VlALgGptwDAAAAAGCBCPQAAAAAAFggAj0AAAAAABaIQA8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAAAWiEAPAAAA4JZZWVV1BcC9x7aqCwAAAABg+Xw9nTUxardS0nNvqJ+/t7OmvtKukqoC7m4EegAAAAB/ipT0XCWn5VR1GcA9gyn3AAAAAABYIAI9AAAAAAAWiEAPAAAAAIAFItADAAAAAGCBCPQAAAAAAFggAj0AAAAAABbong30VlZVXQEAAAAAADfvnn0Pva+nsyZG7VZKem6F+/h7O2vqK+0qsSoAAIDKd6NjIEkKDvKqpGoAADfrng30kpSSnqvktJyqLgMAAOC2upkxkJ+XcyVVAwC4WffslHsAAAAAACwZgR4AAAAAAAtEoAcAAAAAwAIR6AEAAAAAsEAEegAAAAAALBCBHgAAAAAAC0SgBwAAAADAAhHoAQAAAACwQAR6AAAAAAAsEIEeAAAAAAALRKAHAAAAAMACEegBAAAAALBABHoAAAAAACwQgR4AAAAAAAtEoAcAAAAAwAIR6AEAAAAAsEC2VV3A1WRkZGjatGn64Ycf5OLiooEDB2rQoEGm9UuWLNGcOXPM+ngEhsnvwZ4yGg1Kif1G2ecOysG9pu4L/ZtsHVwlScUFWUra87Ga1p92zf2f2B4p7/s7y71Oa7Plu3fv1gsvvKCjR49Kkp5//nn9/PPPpvU2Njby8fFRjx499Prrr8vOzk6rV6/W22+/bWpja2srb29vdevWTaNGjZKrq+tNfUYAAAD3opLCHJ0/9K1yUo/J2tZBnoFh8gzqYFqfEb9DaXGbzPpca5wo+Ur63zixTtjfZWVtc9X9n9geqWoFT8m1Ziuz5Tmpx5W05yM98MRMSdKZ3YuVl3Hifw2srHXm3+7yDgiVU0BXWVnb6OKZfUqJXWnWxtbBTa7VG8un4WOytnW8yU8JwL3gjg30ERERys/P19KlS5WTk6OxY8fKyspKAwcOlCQdP35czz//vF599VW9+eF3SsnIk7WtnSQpJ+WI8jJOqPbDEUqL26SM+J3ye/BJSVJG/E55BnWQ9TX+kb5RAwcO1MsvvyxJMhgMOnz4sEaPHi0XFxdFRERIknx9fbVmzRpJUmFhoeLj4zV9+nQdO3ZMy5Ytk7U1kyUAAAAqInnfchlKilSr9WAZigt07peVkqylB3pLkgqyUuRR92F51e9s6nOtcaKaBEr63zjxWmH+RnkEhsmrXidJktFoUE3XbP34/xbLo8ha3g88KkmycXBTQPtRpW0MxSrIOqfUw/+ngqxzqtXmZVlZMU4EUL478l+HQ4cOaf/+/Zo1a5aaNGmiNm3a6M0339RHH31kapOQkKDg4GD5+vrKwdldto5upm8wC7PPy9Gjjhzc/OXi10CF2eclScX5l5SXniC3ms3/1HqdnJzk6+srX19f+fv7q3PnznryySe1detWUxtra2tTm5o1a6pjx45avHix9u/fb9YOAAAAV5d/4azyMk7pvub95ehRW84+9eXTKFwZCTtNbQqzUuTgXlO2jm6mn+uNEwtyL1bKONHaxt5Ug52Tu2rUaya/oFbKPnfI1MbKyvp/bZw95erfSDUfekF5GSeVfe7wn1oPgLvLHRnoz5w5I3d3dwUFBZmWNWzYUKmpqTp79qwMBoNOnjypwMDAcvvbOnmoMDtFhpJiFVxMkp2Th6TS6VeeQR1vy7ectra2srOzu2aboKAgtWzZkkAPAABQQUW5GbK2c5K9q59pmUO1+1RSkKWci2kyGg0qzEmVvatvuf2vNk5M/HXzbRsnWllbS1bXnihr7+onJ68gs+APAH90RwZ6Hx8fZWdnKzs727QsKSlJkpSZmamkpCTl5eVp5cqV6tSpk35eM1UZCf+W0WiQJLnd10TWto6K3zheOanH5FnvERXlXVBexkm51WxWqbWXlJTo559/1rp169SlS5frtq9fv74SEhIqtSYAAIC7hY2DqwzFBTIU55uWFeddkCQV5GUpPztDxpIiXUzcoxPb39Opf8+67jgxNytDF1LiK32caDQadP5MnM6f2CvX6sHXbe/g5qfCrJRKrQmAZbsj76EPCQlR9erVNXnyZE2ePFk5OTmaP3++JKmoqMgUgP39/bV48WK9NTNax36KliR51XtEVta2qt1uqIoLsmRj7yIrK2ulHFxTGuxz0vR7zFdK/r5YdVv0lpyCrlrH+UNrdf7wOtPv8VbSj19ZlWm3dOlSffrpp5KkgoIC2djY6IknntBLL7103WN1dXVVTk5OxT8cAACAe5ijRx3ZOror5eAa+TfprZKiAqUfK53taDAUK/dCqiTJ1tFdNVu9oPyLSUo9/H+Srj5OPPLzetVp0k15/x0nGooL5Bv8hFz9rx66D+z4XLL6UkbjFQv/+6XBlTISdinz5Pf/XV2sBGtr+QW2lGtQx+seq7WtowzFBRX9aCyWVdnhNYAKuiMDvb29vebNm6fXX39drVq1kpubm0aPHq3Y2Fi5uroqNDRUP/30kzw9PSVJ1eu3UVp6hi6e/lFe9R4xbcfWwU2SVJSXqfzM0/Jr/JSSfv5E7rVbqVnz5tqxcqbqdh4na5vyp8Z7P9BVrvc1Nf3u5+mkv7R21pgxY8za9e3b1/QEfjs7O/n4+Mje3r5Cx5qTk8NT7gEAACrI2sZWNVo+r98PfKn4TZNkbecon4aPK/9CouzsneRdu6bqdZskG3sXSf+djl+Yc81xYmZygkKa9dHeDfPkXruVnLzq6syPUQrqOv6q48QH2z4lJ7/GOp+ZZ1qWn3la53752qyde52H5BnUXpJkZW2j0MZBSr9YqOS061/QMRQXyNru7n/Kva+nsyZG7VZKeu4N9fP3dtbUV9pVUlWAZbgjA70kPfjgg9q8ebPS0tJUrVo1JSYmytraWjVq1JAkU5i/zN7VT8X5l8rdVsbx7fKq/4isrKxLg/2DPeXhW0dWVtYqykmVQ7Ua5fazsXeRvYuP6Xfnai7y83Mu065atWoKCAi4qeM8evSo7r///pvqCwAAcC9ydK+lwE5vlV5lt3NSYU66JCs5u3mrIMdoCvOXXW+c2OihcLNxor2rn6ysrz1OdHByk3M1P9kX/i+YF+VmlmlnY+dkNp60sbGVVFih4yy49Lsc3KpXqK2lS0nPrdCXHADM3ZH30F+8eFH9+/dXenq66Wr3jh07FBwcLFdXVy1fvlxPPvmkWZ+CS8mycyn78JOi3AzlXzh7xZV2Kxn/OzfKaDSYT5O6zU6dOqV9+/ape/fuVVcEAACABSkpzFXiDwtVXJAtWwc3WVnbKiflNzm415Sdg5PO/rZTp3bNMetzvXFi7Qcuv0/+inGioWrHiYXZqcrLOCnX+5pUXREA7nh3ZKB3d3dXfn6+ZsyYocTERG3cuFELFizQsGHDJEnt27fX6dOnNXv2bJ0+fVopJ/YqM+Hf8qr/SJltpR/fJq/6nU1PLHVwr6VLZw8oKf6AZDTI3tWnTJ/KYDAYlJqaqtTUVCUnJ2vnzp0aNmyY2rZtq06dOt2WGgAAACydjb2zjCWFSv1tvQpz0pWV/KvSj22T9/2lDyP2qhmsopw0pR7ZqMKcNF1KirnhcWLpq+KMt22caDQaVJyfpeL8LBXlZSo75Tcl71suZ5/617yPHwDu2Cn3H3zwgSZOnKiePXvK399f06ZNMz01PigoSEuWLNGsWbNKH0Zn6yKfhuGq9of3hhbmpKvgYrL8m/Y1LfN78An9fuBL7T93QA0e/puKbCp2r/utSk1NVVhYmCTJwcFBNWrUUHh4uAYPHnxb9g8AAHC3uC/0OaUcXK3T382RraO7/Jv+Ra7VH5QkObv7q+ZDLyj1yEZdOPm9bB3dbniceOnsPvk3fVrWt2mcWFKQpRPbpkmSrKxtZevkKbcaIWb3/ANAeayMxqqcTPTneDVy2w3fc9PsAV+dz7ixe3Vq+Lhoydtdb7Q8AACAO8rtGjvdTB9L6WcJNd7ufre7RsbmwB065R4AAAAAAFzbHTvlHgAAANd2M6/6Cg7yqqRqAAC3G4EeAADAQt3Mq778vMq+ghcAYJmYcg8AAAAAgAUi0AMAAAAAYIEI9AAAAAAAWCACPQAAAAAAFohADwAAAACABSLQAwAAAABggQj0AAAAAABYIAI9AAAAAItjZVXVFQBVz7aqCwAAAACAG+Xr6ayJUbuVkp57Q/38vZ019ZV2lVQVcHsR6AEAAABYpJT0XCWn5VR1GUCVYco9AAAAAAAWiEAPAAAAAIAFItADAAAAAGCBCPQ3gCdpAgAAAADuFDwU7wbwJE0AAAAAwJ3iT7lCX1hYqAkTJqhVq1Z6+OGH9dFHH121bVxcnPr166eQkBD16dNHv/76a7ntFi1apDfeeOPPKO9PdflJmjfyc7UvABISEjRo0CA1b95cnTp10scff3zV/W7YsEFPPPGEmjVrpp49e2rHjh1m65cvX66uXbuqRYsWGjlypNLT0yVJZ8+eVYMGDcr9+fbbb/+8DwYAgLtMYmKihgwZolatWqlDhw6aMWOGCgoKym2bkJCgAQMGKCQkRI899pg2b95sWldcXKy5c+eqc+fOCg0N1aBBg5SQkCBJ2rNnz1XP03v37r0txwlYspwL53T2pygd3/iOTmx/TxkJ/75q27N7Ptax9W/p38uGm/7Otm3bVqZdeTnk/PnzZf5GW7Zs+WcfDnDD/pRAP3PmTP3yyy/617/+pSlTpmjRokX6f//v/5Vpl5ubq8GDByskJESrV69WixYt9Oqrryo7O9us3fr16zVv3rw/o7Q7VlFRkV5++WXdd999+vbbbzVx4kQtXLhQ//d//1em7d69e/XWW29pwIABWrt2rZ5++mmNGDFCv/32myQpOjpac+bM0fDhw7Vy5UrZ2Njo5ZdflsFg0H333afvv//e7Kd///6qXbu2unbtersPGwAAi1BYWKghQ4bI3t5eK1as0KxZs7Rt2zZ98MEHZdrm5OTohRdeUPXq1bV27Vo999xzGj16tOLj4yVJUVFRWrVqlaZOnapvvvlG1atX1+DBg5Wbm6vmzZuXOU936tRJzZo1U/PmzW/3YQMWxVBSrIPbFsrWyUMBHUbJr3EvZRzfrktnD5TbvjArRfeF/lVtn3nP9PfWoUMHszZXyyHx8fHy8fEx+1u98os7oKrc8pT73NxcrVy5UosXL1bjxo3VuHFjDR48WJ9//rl69Ohh1nbDhg2ys7PT2LFjZW1trXHjxmnXrl3auHGj+vbtq+LiYk2bNk1r1qxR7dq1b7W0O1pKSoqaNm2qSZMmydHRUQEBAWrXrp327t2rnj17mrX99ttv1a1bNz3zzDOSpAEDBujf//63NmzYoODgYH366acaMGCAevfuLUmaPn26OnbsqB9++EHt27eXr6+vaVtHjhxRdHS0li9fLldX19t3wAAAWJBff/1ViYmJio6OlouLi+rVq6eRI0dqxowZGjt2rFnbb7/9Vra2tpo+fbrs7OxUt25d/fDDD4qJiVH9+vW1Zs0aDRs2TGFhYZKkqVOnqnXr1tq3b586dOggX19f0y19aWcO6vCu/+ihXu9o+Pv/vmaNwUFelXX4gEXIy74gN58AuTfqLWsbO9m7+MjZ537lZZxQtVqhZm1LivJVnH9Rjh515ODsbjY+lnTdHBIfH6+goKAy/YCqdstX6OPi4lRYWKgWLVqYlrVo0UIHDx5USUmJWdvY2FiFhobK2rp0t1ZWVgoNDVVMTIyk0i8Hjh49qpUrV97130rXqlVL//znP+Xo6Cij0aj9+/dr7969atu2bZm2zz//vIYNG2a2zMrKSpcuXZIknTlzRs2aNTOtc3JyUkBAgH755Zcy25o1a5YeffRRpggBAHANQUFBioqKkouLi2nZlefeK+3Zs0edO3eWnZ2dadmSJUvUt29fSaUB/spZcdbW1jIajcrKyjItS0nPVVJqlo7tWS2PwDBlFjpf95a+tAv5lXHogMVwcffRg4+8JGsbOxmNRuVlnFJu+gk5+9Qv07YwO0VW1raydfIod1vXyyHx8fEKDAz8048BuFW3fIU+NTVV7u7ucnBwMC3z8fFRUVGR0tPT5efnZ9b2j38I3t7eiouLkyRVq1ZNK1asuNWSLE6HDh10/vx5derUSY899liZ9Q0bNjT7/fjx4/rxxx81Z84cSaWf4blz50zrDQaDzp07p8zMTLN+Bw8e1A8//KD169dXwlEAAHD38PLyUrt2/3ugrcFg0Oeff2627LLExEQ1atRIkydP1rZt2+Tr66u///3v6tSpkySV+bI+OjpaxcXFZb5cz/79kIryMuVVr2MlHBFwdzuxbbpKCi7Jxa+RXO9rWmZ9YdZ5Wds56fcDX+r0hVN6ev9ijRgxQh07lv69XS+HJCQkyNHRUX369FFqaqpatmypsWPHyt/fv9KOCaiIW75Cn5eXJ3t7e7Nll38vLCysUNs/trvXLFy4UAsXLtThw4cVGRl5zbbp6emKiIhQixYt1K1bN0lSjx499NFHH5lmS8yfP18ZGRkqKioy67tixQqFhYWpfv2y31oCAICri4yM1JEjR8p9YG9OTo6WLl2qatWqKSoqSo8//riGDx+uQ4cOlWm7f/9+/eMf/9Arr7xSJghcTPxJ1Wq1kI29S5l+AK6tZquBqtFyoPIvJin18Loy6wuzU2QoLpCrf7CaPjpcHTt21JAhQxQbG1uh7SckJCg3N1fvvPOOPvjgA6WkpOiVV15RcXHxn30owA255Sv0Dg4OZQL55d+dnJwq1NbR0fFWy7BoTZo0kSTl5+drzJgxeuutt8p88SFJ586d04svvihra2t9+OGHplsXhg4dqqSkJPXu3VvW1tbq3r27OnToYHaPfElJibZs2aJJkybdnoMCAOAuYDQaNX36dH311VeaO3eu7r///jJtbGxs9MADD+j111+XJAUHB2v//v1auXKlGjdubGq3Z88eDR06VJ06ddKIESPMtlGYn6XctATVblB2ph6A63P0KL3v3VBSpJTYr+Ub3ENW1v+LOj6NwuV1fxfZ2DnJ1ctFI0Z01eHDh7VixQqFhIRcd/vbt2+XnZ2daYw+b948hYWFKSYmRq1ataqcgwIq4Jav0Pv7++vSpUtmQT01NVX29vZyd3cv0zY1NdVsWVpa2j35cImUlBRt377dbFm9evVUVFRU5qn/Uul98n/9619lZWWlzz77TJ6enqZ1Tk5Omj17tvbt26fdu3dr9uzZSk1NVc2aNU1tYmJilJeXp0ceeaTSjgkAgLuJwWDQuHHjtGLFCn3wwQdXfTuMn5+fgoKCzJYFBgYqOTnZ9PuuXbv08ssvq2PHjnr//fdlZWVl1j4j6YhsHNzk6FHnzz8Q4C6Vm5WptETzV2A7uPnLaCiRodj8FZNWVtaysXP673+XLgsKCtL58+crtC8XFxezC27e3t7y8PBQSkrKLRwBcOtuOdA3atRIdnZ2pgfbSaXTyR588EHZ2ppPAAgJCVFMTIyMRqOk0m+9Dxw4YPZAt3tFQkKCRowYYXpfvCQdPnxYXl5e8vIyf2rthQsX9MILL8jNzU2fffaZfHx8zNa///77pqfwuru769y5czpy5Ihat25tahMbG6vg4GCebA8AQAXNmDFD69at07x580y3uZWnefPmplfJXhYfH2/6Yj02NlYjRoxQ9+7dNWvWrDLjI0m6lHpSzt6BZYI+gKvLykjWoZ0fqbjgfxfD8i+elY29S5lbV5L3faaUg2skSb6ezpoYtVurN/ygk+m2ejVym9nP7l+TtefwOdPvgyasUnDjEA2b/Klpe5efV/XHL/OA2+2WA72Tk5N69eqlKVOm6Ndff9X27dv1ySefaMCAAZJKr9bn55c+hbV79+7Kzc3VtGnTFB8fr8jISOXk5Cg8PPxWy7A4rVq1Ur169TR27FglJCRo586dmj17toYMGSLJ/HP74IMPlJmZqRkzZqikpESpqalKTU01PR3X399fCxYsUExMjOLi4jRixAh16dLFbFrg8ePHuXceAIAK+uWXX7R8+XL9/e9/V+PGjU3n3sszDa88T/fr108nT57U+++/r8TERC1btkw//vij+vXrJ6PRqHHjxql+/foaPXq0MjIyTNu53F+ScjJ/l70rD9cCboRvrQZy8aiuc798rYKsFGWn/Ka0IxvlVb+LJKk4P0uGktJnSrlWD9alM3t1KSlGWZnn9NO2lbqQEi+76q3LvEEir6BYeQXFpt/Tc21lX62mft7ymQ4dOqSDBw9q1KhRateunYKDg6vyIwBuPdBL0ttvv60mTZpo4MCBmjRpkoYPH24K6WFhYdqwYYMkydXVVUuWLFFMTIx69+6tAwcOKCoq6p68amxnZ6eoqCjZ2Niob9++mjhxogYOHGj6IuTKz23Tpk3Kzs5Wr169FBYWZvqZMmWKJOm5555T9+7dNXToUA0cOFCNGjXSjBkzzPaXlpZW5hYIAABQvs2bN0uSZs+ebXbuDQsLU3Fxsdl5ukaNGvrXv/6lPXv2qEePHlq5cqU+/PBDBQcH6/jx44qPj9fh/8/encdFVe9/HH+DCAouuCClpkmGGwS4Za6h5l7Xa91rWbhlau5lmUuaWqapaWRZLi1mprZp7pZLq1ruklvirqQgSCgq6/f3hz/nOoICCswcfT0fDx8P55zznfP5noU57znL7N6txo0b273P0qX/e3BXyqUEFXD3dEhfAatyLeCmwOZ95OLqquO/vafTu75VCb+G8q7UQJJ0aM3rOhd1+aF3xcrXUulqbRW7/3ut/myk4k7sVrkHe8jdq1S25nV3zadVuLivnn32WXXt2lUVKlTQ1KlT86xvQHa5mCvXv1tYr/FrFHUmMUdtgv19FB13IUftbqaNJJUt7aUZwzK/7w4AACC/jmXyu50VarzZdlaoMb/bWaHGW2nHMT2c0S0/5R4AAACXjZq5QadjL+SoTXW/kllPBABAJgj0+YDn2wAAcGc4HZvzs35lSnKpPQDg5hDo88GVJ2nm5Bt731KeGtuzfh5WBQAAAACwMgJ9PrmZb+wBAAAAALieXHnKPQAAAADczriNFs6IM/QAAAAAkAVuo4UzItADAAAAQDZwGy2cDZfcAwAAAEAe4DJ95DUXY4xxdBE3sn79evXp00f79u1zdCm5qkjJ8gpo2kulKwRmOr6cj5c+HNo8n6sCAAC3otf4NTk+exfs76PoOPuzfmeORejPdTN0Pu5EbpcI3BaKlCyv9l2GyNOnWq7sc3nVLtjfRy4uytFl+hKX6iP7nP6S+169eunAgQOOLiPXnY87oYg1Hyi0+/RMx9/MPToSOz8AALklp5/D1f1K5tq8I9Z8oMT4qFx7P+B2cz7uhFbMm6QnBn3s6FKyxGX6yEtOH+jvZDez83NZDwAAuSOnn8NlSnrmYTUA7iQc0yO7nD7Qz5gxQ3379tXevXsdXUquunLJfW672TP7d5X21JjnOLMPAIAzCGz+PJfcAzdQpGR5tXn6ZUeXkWc4pkd2OX2gDw0N1Z49e244TW7dr5YXbW6l3c26mTP7ZUrm/I8GfzAAAMgbpSsE6uGu791wmvw+LrHCsRN9c2y7/K7x3v9vd7vKr2N6ieN6K8uTQJ+enq6EhIS8eOtM+RZ3UQFTIEdtSnimyyUtZ+1upo0V5nWlXfy5JBUwl7LdpnihQnp33gadPZeUo3lVuKuoziUm56hdiaIe6ty2eo7mAwDOqFixYnJ1vb1/ZCavjgM+W74nXz5zrrTL6fGFIz67nb2dFWq82XZWqDG/21mhxvxuZ4Vjeunmjutv9u/rnX5cn9vHAf1VvIwAACAASURBVHnylPv4+HiFh4fn9tsCAGB5AwcOlLe3t6PLyFMcBwAAkLncPg7Ik0CfF9/Mh4eHa+DAgbn6nncCltvNYbndHJbbzWG53RyrLjfO0FubVbe77KJ/1kb/rI3+WVt2+5fbxwF5csm9q6trnpx9uN3PaOQVltvNYbndHJbbzWG53RyWm3PKq+MAZ3E7902if1ZH/6yN/lmbI/pXYPTo0aPzfa436d5773V0CZbEcrs5LLebw3K7OSy3m8NygyPc7tsd/bM2+mdt9M/aHNG/PLnkHgAAAAAA5K3b+yY+AAAAAABuUwR6AAAAAAAsiEAPAAAAAIAFEegBAAAAALAgAj0AAAAAABZEoAcAAAAAwIKcPtAnJydr5MiRqlOnjho0aKBZs2Y5uiRLWLZsmapUqWL3r0+fPo4uy2klJyerXbt22rBhg21YfHy8BgwYoJo1a6pp06ZatGiRAyt0TpkttxkzZmTY9saNG+fAKp3DsWPH1Lt3b9WpU0eNGzfWhAkTlJSUJEk6efKkunfvruDgYLVu3Vo//fSTg6t1HjdabqNGjcqwrX366aeOLRiWcqPt61rPPvtshu1tzZo1tvErVqzQI488oqCgID3//POKjY3Nr25cV3b7FxYWlqFvVapUUefOnSVJ6enpCgoKyjA+ISEhv7uUwcGDB9W1a1eFhIQoNDRUs2fPvu60+/btU8eOHRUUFKQOHTpo165dduOdcR3mpH8rVqxQu3btFBwcrMcee0zr1q2zjXPWdZiT/llxH8xu/6y8D0rSq6++qrCwsOuO37Rpkx599FEFBQUpLCxMR48etRs/d+5cNW7cWCEhIRo2bJguXLiQ1yXnSFb9++yzz9SiRQuFhISoY8eO2rZtm21cdHR0hvVWu3bt3C3QOLnXX3/dtGvXzkRERJgffvjBhISEmGXLljm6LKc3ZcoU07dvXxMdHW37988//zi6LKd06dIl07dvX+Pv729+++032/BevXqZsLAws2/fPvPVV1+ZgIAAs3XrVgdW6lyut9wGDx5sXn/9dbtt79y5cw6s1PGSkpJM69atTf/+/U1kZKT5/fffTbNmzcz48eNNenq6eeyxx8wLL7xgDhw4YGbMmGEeeOABc+zYMUeX7XA3Wm7GGPPkk0+a2bNn221rFy5ccHDVsIqstq9rNWrUyCxfvtxue0tKSjLGGLNz504TGBhovvnmG7N3717zzDPPmO7du+dndzLISf/Onj1r168NGzaY6tWrm7Vr1xpjjDly5IipUqWKOXHihN106enp+d0tO8nJySY0NNQMHTrUHDlyxKxbt86EhISY7777LsO0iYmJpkGDBmbcuHEmMjLSvPHGG6ZevXq2zydnXIc56d8ff/xhatSoYRYuXGiOHDli5syZY6pXr252795tjHHOdZiT/hljvX0wJ/2z6j5ojDEbNmww/v7+5plnnsl0fFRUlAkODjYzZ840Bw4cMIMGDTJt2rQxaWlpxhhjVq9ebWrWrGnWrFljdu3aZdq2bWtGjhyZn124oaz6t3jxYlOzZk2zcuVKc+TIETN58mQTEhJiTp06ZYwx5rfffjP169e3W29nzpzJ1RqdOtAnJiaawMBAu7Dw/vvvmyeffNKBVVlD3759zbvvvuvoMpzegQMHzGOPPWYeffRRu2B69OhR4+/vb44cOWKbdvjw4Wbw4MGOKtWpXG+5GWNM+/btzTfffOPA6pzP5s2bTY0aNcz58+dtw5YsWWLq169vNmzYYAIDA+2+9OjSpYuZMmWKI0p1KjdabsYYU7duXbNp0yZHlQeLy2r7utq5c+eMv7+/OX78eKbv9fLLL9t9PkRFRWX4DMlvOenf1dLT083jjz9uhg8fbhu2Zs0aExoamme13qzjx4+bgQMHmosXL9qG9e3b17z66qsZpv3qq6/Mww8/bAsR6enp5pFHHjFffvmlMcY512FO+jd8+HDzwgsv2A3r1q2bmTRpkjHGOddhTvpnxX0wJ/27mpX2wcTERNOsWTPz5JNPXjfwvvPOO3bZ7cKFCyYkJMR27NipUye7Y57NmzebgIAAu79djpKd/nXp0sVMnjzZbliLFi3MF198YYwxZs6cOddtm1uc+pL7ffv2KTk5WbVq1bINq1WrliIiIpSWlubAypxfZGSkKlWq5OgynN4ff/yhBx98UAsXLrQbvnPnTvn4+KhixYq2YbVq1dKOHTvyu0SndL3llp6ersOHD7PtXcPPz08zZ86Ul5eXbZiLi4sSEhK0c+dOVa9eXUWKFLGNY1u77EbLLSYmRvHx8WxruGk32r6uFRkZKQ8PD5UtWzbT99q5c6fq1Klje3333XerXLly2r59e+4Xnk056d/Vli9frkOHDumFF16wDTt48KBT7mvly5fXO++8o0KFCskYo61bt2rz5s166KGHMky7c+dO1axZU66ulw99XVxcVLNmTds6csZ1mJP+hYWFZbi18ur17YzrMCf9s+I+mJP+Xc1K++DUqVNVt25d1a1b97rTXLtuChcurBo1amj79u1KS0tTRESE3fjg4GClpaVp7969eVp7dmSnf4MGDdJ///vfDMPPnTsnKX8ymVuevvstiomJUfHixeXh4WEbVrp0aaWkpCg2NlZlypRxYHXOKzk5WcePH9f69esVHh4uY4xatWqlAQMGyN3d3dHlOZVOnTplOjwmJibD9lWqVCmdOnUqP8pyetdbbidPntTFixf15Zdf6sUXX1ShQoX0+OOPq3v37raDqDtRyZIlVb9+fdvr9PR0ff7556pfvz7b2g3caLlFRkbKzc1N4eHh+vnnn1WiRAl17dpVHTp0cGDFsJIbbV/XioyMVLFixfTCCy9o69atuuuuu9S/f381adJE0uV7JDPbj0+fPp23nbiBnPTvajNmzNBTTz2l0qVL24ZFRkYqMTFRTz/9tI4ePapq1app2LBh8vPzy7P6c6px48aKjo5WaGioWrZsmWF8TExMhoPqUqVKad++fZKccx1eLav+Va1a1e71gQMHtHHjRk2ZMkWS86/DrPpnxX3waln172pW2Qe3b9+uVatWadmyZfr444+vO931jnNOnz6thIQEJSUl2Y13c3OTt7e3w4+Dstu/4OBgu9c///yzjhw5Yvvi5uDBgypUqJA6dOigmJgY1a5dW0OHDpWvr2+u1erUR9gXL17MEECvvE5OTnZESZZw9OhRpaamytPTU9OmTdOQIUO0dOlSjR8/3tGlWcb1tr2UlBQZYxxUlfM7ePCgJMnX11cffvihevbsqQ8//PCGfwjvROPHj9fevXv10ksv6eLFiypYsKDd+CvbGuxdvdwOHTok6fJB7KxZs/TEE09o1KhRWrlypYOrhFVdvX1d6+DBg0pMTFTTpk01e/ZsNWnSRL1799bOnTslSZcuXcr0M8OZjlVu1L8rtmzZokOHDmV4+NPBgwf1zz//qF+/fpo+fbo8PDzUuXNn2xkoZzB9+nRNnz5du3fvzvR453qf61fWkbOvw6z6d7XY2Fj169dPtWrVUosWLSQ5/zrMqn9W3wezu/6ssg8mJydrxIgRGj58uIoXL37DaW+07126dMn2OrPxjpKT/l3t8OHDeuWVV9S+fXsFBgZKurzuLly4oFdffVVTp07V6dOn1bNnT6WmpuZavU59ht7DwyPDyrzyunDhwo4oyRLuv/9+bdq0SSVKlJB0+YDXGKPBgwdrxIgRcnNz6tXuFK637RUqVEguLi4Oqsr5Pfzww3bbXpUqVXT27FnNmzdPPXr0cHB1jmeM0bhx4zR//nyFh4fr/vvvl4eHh86fP2833ZVtDZdlttwqV66stm3bytvbW9Llv3NHjx7V/Pnz1bp1awdXDCvJbPu61ksvvaTnn39exYoVk3R5e9u9e7cWLFigoKCgG35mOFp2+nfFypUrVa9ePd111112w7/44gulpaXJ09NTkvT222+rSZMmWrt2rdq3b5+n9WfXlYPnS5cu6ZVXXtGQIUPsQkJW68iZ16GUdf+uOHXqlO2quHfffdd2dZyzr8Os+mflfVDK/vqzyj74/vvvq2LFitn6vL3euvH29rZdhe1s6y4n/bvir7/+Uvfu3eXn56exY8fahq9du1YFCxa0re9p06apYcOG2r59u92tBrfCqc/Q+/r6KiEhwW4lx8TEyN3dPUffltyJrgSqK+677z6lpKQoLi7OQRVZi6+vr86cOWM37MyZM/Lx8XFQRdaR2bYXHR3toGqcR3p6uoYPH64FCxZo6tSpat68uaTL21pMTIzdtGxr/3O95ebi4mIL81f4+fk5zeWVsIbrbV/XKlCggC1IXOHn52f72+asnxnZ7d8VP//8sx555JEMwz08PGxB4srr8uXLO3x/O336tNauXWs37MrxzrVflGb1t9YZ12FO+idJx48fV6dOneTi4qK5c+fafR474zrMSf+suA/mdP1J1tkHly5dql9//VUhISEKCQnRRx99pC1btigkJCTDtDfa966E+qvXXWpqquLj4x16a3VO+idJERERCgsLU6VKlTRz5ky728W9vLzsvrwpVaqUvL29c3XdOXWgr1atmgoWLGj3QIutW7eqRo0anGW+ge+//17169e3+yJkz549KlasmMMPLqwiODhYp0+f1okTJ2zDtm7dqqCgIAdW5fzmzJmjRx991G7Ynj17nPJBLvltwoQJWrp0qaZNm2a7BFKSgoKCtG/fPrvfXN26dWuGe7LuVNdbbhMmTFCvXr3spt27d6/T3A8Ka7je9nWtAQMGaPTo0XbD9u7da/vbFhQUpK1bt9rG/f3334qKinL4fpzd/klSXFycjh07luGMUWpqqho1aqTly5fbhiUmJuro0aMO398OHjyo/v372/3e+O7du1WyZEmVLFnSbtqgoCBt377ddtucMUbbtm2zrSNnXIc56V98fLy6deumokWLau7cuXb3XzvrOsxJ/6y4D+akf5K19sG5c+dq2bJlWrx4sRYvXqz//Oc/CggI0OLFizNMGxQUZPe77BcvXtSePXsUHBwsV1dXBQYG2q27HTt2qECBAqpWrVq+9CUzOenf8ePH1aNHD1WvXj3Dg0hjYmJUq1Ytuyx76tQpnT17NnfXXZ4+Qz8XjBw50rRu3drs3LnTrFmzxtSsWdMsX77c0WU5tbi4OFOvXj3zyiuvmEOHDpn169ebBg0amA8++MDRpTm1a39+rXv37qZTp05m79695uuvvzYBAQFm27ZtDqzQOV293A4ePGgCAwPN5MmTzZEjR8ySJUtMSEiIWbJkiYOrdKzt27cbf39/M2PGDLvfIY2OjjapqammTZs2pn///uavv/4yM2bMMEFBQdf9aZ47yY2W26ZNm0zVqlXNnDlzzNGjR83cuXNNjRo1zObNmx1dNiziRtuXMcZER0fbfm5q0aJFJiAgwCxZssQcPnzYhIeHm8DAQHP06FFjjDHbtm2z/Qb4vn37TFhYmOnRo4fD+mZMzvpnjDGbNm0yNWrUsP2s29WGDh1qmjVrZv744w+zf/9+07t3b9O6dWuTkpKSb/3JTHJysmnXrp3p0aOHiYyMNOvWrTMPPfSQ+fTTT40x9n08d+6cqVevnhkzZow5cOCAGTdunHnooYdsPxnqjOswJ/0bNWqUqVmzptmzZ4/duk5ISDDGOOc6zEn/rLgP5qR/xlhzH7xiypQptp9mS01NNdHR0SYpKckYc/nn+wIDA8306dPNgQMHzAsvvGDatm1r6+eyZctMcHCwWb16tdm1a5dp166dee211xzVlUzdqH/PPvusefjhh82xY8fs9r0rP7sXFhZmOnToYCIiIsyuXbtMx44dTbdu3XK1PqcP9BcuXDBDhgwxwcHBpkGDBuajjz5ydEmWsHv3bvPMM8+Y4OBg07BhQzNt2jSTnp7u6LKc2rWB/syZM6ZXr14mMDDQhIaGmsWLFzuwOud17XLbsGGD6dChg3nggQdM06ZNzbx58xxYnXOYMGGC8ff3z/RfSkqKOXLkiHn66adNQECAadOmjfnll18cXbJTyGq5LV++3LRt29YEBASY1q1bm9WrVzu6ZFhIVtuXv7+/+eabb2zTz5071zRv3twEBASYDh06mD/++MPu/b799lvz8MMPm+DgYNOnTx8TGxub312yk9P+LV++3Dz44IOZvldiYqIZO3asadCggQkKCjK9e/c2J0+ezK+u3FBUVJTp1auXCQkJMQ0bNjQffvih7Xjn2j7u3LnTtG/f3gQEBJjHH3/cRERE2L2Xs61DY7Lfv7p162a6rq/8NruzrsOcrD+r7YPG5Kx/Vt0HjbEPvMePHzf+/v5m06ZNtvE//vijadmypXnggQdMWFiY7YuYK2bMmGEeeughU6tWLTN06FC7LzqcwfX6d+7cuev+nZ0yZYoxxpjY2FgzePBgU7duXVOzZk3z8ssvm/j4+Fytz8UYHtkNAAAAAIDVOPU99AAAAAAAIHMEegAAAAAALIhADwAAAACABRHoAQAAAACwIAI9AAAAAAAWRKAHAAAAAMCCCPQAAAAAAFgQgR4AAAAAAAsi0AMAAAAAYEEEegAAAAAALIhADwAAAACABRHoAQAAAACwIAI9AAAAAAAWRKAHsunEiROqUqWKjh49mqfzSU5O1oIFC2yvw8LCNHXq1DydZ05NmzZNTz31VK6939y5c9W4cWOFhIRo2LBhunDhQq69NwAAAHC7ItADTmb58uWaPn26o8vIN99//73eeecdvfbaa/rss88UERGhCRMmOLosAAAAwOkR6AEnY4xxdAn5as6cOXrmmWfUrFkzBQYGavTo0Vq0aJESExMdXRoAAADg1Aj0wE04d+6cXnnlFdWqVUsNGjTQyJEjdf78eUnS77//rsaNG2vhwoVq3LixgoODNXjwYF26dMnWfsmSJWrevLmCgoI0ePBgvfjii5o2bZp+//13DRs2TKdPn1aVKlV04sQJSVJMTIyee+45BQYGqmXLlvrll1+yXWt4eLgaNWqkwMBAdezYUdu3b7eN27Nnj5555hkFBQWpWbNm+vrrr23j1q9fr3//+98KDAxUrVq1NGjQIFsfr7VlyxY98cQTeuCBB9S2bVstXrw4W7WlpaUpIiJCderUsQ0LDg5WWlqa9u7dm+0+AgAAAHciAj1wE4YPH66zZ89q3rx5mjFjhg4fPqxhw4bZxsfGxmrFihWaNWuWpk2bpjVr1ujbb7+VdDn8Dh8+XN27d9e3336rwoULa8WKFZKkkJAQDR8+XD4+Pvr111919913S7r8BUCLFi20fPlyBQQEaMiQIUpPT8+yzh9++EHz5s3T5MmTtWLFClWvXl0DBgxQenq64uLi1LVrV/n5+WnRokV64YUXNHr0aG3ZskXHjx9X//799eSTT2rlypUKDw/Xpk2bNH/+/AzziImJUc+ePfXoo49q6dKl6tu3r9544w2tW7cuy/oSEhKUlJSkMmXK2Ia5ubnJ29tbp06dyrI9AAAAcCdzc3QBgNWkpaXphx9+0KZNm+Tt7S1Jeuutt9S0aVP9/fffkqTU1FQNHz5cVapUUZUqVdSoUSNFRERIkubPn6+WLVuqU6dOkqTRo0fr119/lSS5u7uraNGicnV1lY+Pj22ezZo103/+8x9J0nPPPadly5YpJiZGvr6+N6z15MmTcnNzU9myZXXPPfdo8ODBatGihdLT07Vy5Up5eXnptddeU4ECBeTn56f4+Hilp6crLS1NI0aMUMeOHSVJ5cuXV/369RUZGZlhHvPmzdODDz6oLl26SJIqVqyoQ4cOac6cOWratOkN67ty1YK7u7vdcHd3dyUnJ9+wLQAAAHCnI9ADObRhwwYZYxQaGpph3JEjR+TqevnClwoVKtiGFylSRKmpqZKk/fv364knnrCNc3NzU0BAwA3nee17SVJSUlKWtbZt21bz58/XI488osDAQDVt2lRPPPGE3NzcFBkZqapVq6pAgQK26Z955hnb/93d3fXBBx/owIEDOnDggCIjI9W2bdsM8zh06JB++eUXhYSE2IalpqaqZMmSWdbn4eEhSRnCe3JysgoVKpRlewAAAOBORqAHcigpKUmenp6Z3ifu4+NjOxNfsGBBu3FXHnZXoECBDA++y+pBeFe+JMhJmyv1LF++XBs3btRPP/2khQsXat68efrmm28y1He1ffv26amnnlJoaKhq1aqlrl27as6cOZlOm5qaqrZt26pPnz5Z1nwtb29veXh46MyZM/L397e9X3x8vN1l+AAAAAAy4h56IIcaNmyoCxcuKC0tTRUrVlTFihUlSePHj7/uQ+OuVrlyZf3555+219c+AM7FxSXXav3xxx+1cOFCNWrUSK+++qpWr16txMREbd26VRUrVtT+/fvt7sUfNmyYwsPD9d1336lmzZqaMmWKnn76aT3wwAM6evRopl8iVKpUSUePHrUti4oVK+rXX3+1e8De9bi6uiowMFBbt261DduxY4cKFCigatWq5c5CAAAAAG5TBHoghwoVKqRGjRppyJAh2rlzp/bt26dXXnlFsbGx2Tqr/Mwzz2j16tX68ssvdfjwYY0fP14nT560BXlPT0+dO3dOhw8ftl2mf7PS09M1ceJErVq1SidOnNCSJUuUnJysqlWr6rHHHlNiYqLefPNNHT58WEuXLtWyZcvUqFEjeXt766+//tLOnTt15MgRTZgwQREREUpJSckwj06dOmnPnj16++23deTIEa1atUqTJk3K8v7+q9t//PHH+v777xUREaExY8bo8ccfl5eX1y31HQAAALjdcck9cBMmTpyocePGqXv37nJxcVH9+vU1cuTIbLUNCQnRa6+9pvfff19nz55Vy5YtVbNmTdsl8PXq1ZOfn58ee+wxffHFF7dUZ9OmTTVo0CBNnDhR0dHRqlChgt5++235+flJkmbOnKlx48Zp4cKFKlu2rN58803VrFlTVatW1Z49e9StWze5u7urTp066tevn7777rsM8yhXrpxmzJihyZMn65NPPpGPj4/69+9ve+hfVtq2bauTJ09q9OjRSk5O1iOPPKKhQ4feUr8BAACAO4GLyc6NuAByza5du1SkSBFbqJYuh9pnn31WHTp0cGBlAAAAAKyES+6BfLZ9+3b17NlT27Zt0/Hjx/Xhhx/q77//VqNGjRxdGgAAAAAL4ZJ7IJ89/fTTOnHihPr3769z586pWrVqmjVrlt3vzmdHbGysmjdvfsNpfv75ZxUtWvRWyr0lffv21YYNG647/qWXXtLTTz+djxUBAAAAtw8uuQcsKi0tTSdOnLjhNPfcc0+2fj4ur0RHR+vixYvXHV+yZEmHfuEAAAAAWBmBHgAAAAAAC+IeegAAAAAALIhADwAAAACABRHoAQAAAACwIAI9AAAAAAAWRKAHAAAAAMCCCPQAAAAAAFgQgR4AAAAAAAsi0AMAAAAAYEEEegAAAAAALIhADwAAAACABRHoAQAAAACwIDdHF5AbRs3coNOxF7I9vW8pT43tWT8PKwIAAAAAIG/dFoH+dOwFRZ1JdHQZAAAAAADkGy65BwAAAADAggj0AAAAAABYEIEeAAAAAAALItADAAAAAGBBBHoAAAAAACyIQA8AAAAAgAUR6AEAAAAAsCACPQAAAAAAFkSgBwAAAADAggj0AAAAAABYEIEeAAAAAAALItADAAAAAGBBBHoAAAAAACyIQA8AAAAAgAUR6AEAAAAAsCACPQAAAAAAFkSgBwAAAADAggj0AAAAAABYEIEeAAAAAAALItADAAAAAGBBBHoAAAAAACyIQA8AAAAAgAUR6AEAAAAAsCAC/TV2796tsLAwhYSEqGnTppoxY4bS09OvO/1nn32mFi1aKCQkRB07dtS2bdts46Kjo1WlShW7f7Vr17aNP3bsmHr37q06deqocePGmjBhgpKSkvK0fwAAAACA24ObowtwJvHx8XruuefUunVrjR07VkeOHNHQoUPl6empsLCwDNN/9913Cg8P17hx41StWjV9/fXX6tGjh1auXClfX19FRkaqdOnSWrx4sa2Nq+vl71CSk5PVu3dvVa5cWQsWLFBsbKyGDx8uSRo6dGj+dBgAAAAAYFmcob/KTz/9JDc3N40YMUKVKlVSaGiounXrpqVLl2Y6/aJFi9SpUye1atVKFStW1ODBg+Xj46N169ZJkiIjI+Xn5ycfHx/bv1KlSkmSdu3apWPHjmn8+PG67777VLduXQ0cOPC68wIAAAAA4Gr5cob+xIkTatasmaZPn65x48bp7Nmz6tixo/79739r2LBhOnTokOrVq6cpU6bI09NTCxcu1MyZMxUXF6eqVatq2LBheuCBByRdvoz9jTfe0MaNG3Xx4kVVrlxZHhVbSm5llXIhTofXTdDdtcJ0Zu8KpV76R4VL3ae7Q55UAXcvndn/veIOrNFfkqp8al/j2rVrVbduXU2ZMsV2Fl2SXFxclJCQkGm/Bg0aZAvoVzt37pyky4G+UqVKmbb18/PTzJkz5eXlla15AQAAAABwtXy95H7WrFmaPn269u/fryFDhmj9+vUaPXq03Nzc1Lt3b33zzTcqV66cwsPDNXbsWFWuXFkrV65Uly5dtHr1apUpU0ZDhgyRp6enFixYIGOMJk+erN83LlD5Ri/a5hMXuU53hTwlSYra/KniDv4kn2ptVPK+JvKu+JB8SxbWpAGN7WorWbKkChQooLvvvts27NKlS/ryyy/VpEmTTPsTHBxs9/rnn3/WkSNH9NBDD0mSDh48qEKFCqlDhw6KiYlR7dq1NXToUPn6+qpkyZKqX7++rW16ero+//xzu2EAAAAAAFxPvgb6559/XlWrVlXVqlX15ptvqm3btrbwW7duXR06dEgrV65Uz5491bx5c1ubDRs26KuvvlLfvn0VGhqqFi1a2IL3008/rfXre8gYY5tPKf9HVLhEBUlS0XIhuhR/XJLk6uYhVzcPeXh6ycfH54a1pqWl6eWXX9bFWCdj4QAAH/pJREFUixf1/PPPZ9m3w4cP65VXXlH79u0VGBgo6XKgr1Spkl599VWlp6drypQp6tmzp7755hu5udkv+vHjx2vv3r36+uuvs7MoAQAAAAB3uHwN9OXLl7f938PDQ2XLlrW9LlSokJKTk3Xw4EFNmTJF4eHhtnHJycm66667JElPPfWUVqxYoW3btunw4cP6888/L09k/vck+oKe/7sM3tXNQzJpkqTYA+sUF7lOkS5SyJf2XV++fLmtnuTkZL300kv69ddf9emnn2YZ/v/66y91795dfn5+Gjt2rG342rVrVbBgQbm7u0uSpk2bpoYNG2r79u2qU6fO5bKN0bhx4zR//nyFh4fr/vvvz2IpAgAAAACQz4H+2rPSV9+rfkVaWppeeeUVNWzY0G64p6en0tPT1b17d/3zzz9q06aNmjZtqpSUFPXr189uWhfXAnavr5y8965YT0XLPqAyJQrrjd4N7KYpU6aMpMuX2fft21c7duzQ7NmzFRQUdMM+RUREqEePHvL399eHH34oDw8P27ir74+XpFKlSsnb21unT5+WdPky+xEjRmjp0qWaOnWq7aoEAAAAAACy4nQ/W1epUiWdOnVKFStWtA177bXXVLduXd1///3avHmzfvnlF1sAnzdvXrbfu4C7pwq4e8qzmJfd+1/tpZde0q5du/TJJ5/YHsR3PcePH1ePHj1UvXp1TZ8+XYULF7aNi4mJUatWrTR79myFhIRIkk6dOqWzZ8/Kz89PkjRhwgQtXbpU06ZNU2hoaLb7AQAAAACA0/1sXbdu3TR37lwtWrRIx44d03vvvadvvvlGfn5+KlasmFxdXbVixQqdPHlSq1at0rRp0yRJJj31lue9YsUK/fDDDxo5cqTuvvtuxcTEKCYmRnFxcZIuXz0QExOj5ORkSdKYMWPk6empsWPH6vz587bpExMT5ePjoxo1auiNN97Qn3/+qYiICA0aNEj169dX9erVtWPHDs2ZM0cDBgxQQECArW1MTMwt9wMAAAAAcPtzujP0bdq0UWxsrN577z1FR0fLz89P77//vqpVqyZJGj16tKZPn6533nnH9sC5l14eokv/RKlg4eK3NO9Vq1ZJkl5++WW74b6+vvr555/1999/q1mzZvrss89Uo0YN/fLLL5KU4VL53r1764UXXtA777yjN998U88++6xSU1PVrFkzjRgxQpK0evVqSdLbb7+tt99+26797t27M9yeAAAAAADA1VzM1Y+Ht6he49co6kxitqcvW9pLM4ZxvzoAAAAAwLqc7pJ7AAAAAACQNQI9AAAAAAAWRKAHAAAAAMCCCPQAAAAAAFgQgR4AAAAAAAsi0AMAAAAAYEEEegAAAAAALIhADwAAAACABRHoAQAAAACwIAI9AAAAAAAWRKAHAAAAAMCCCPQAAAAAAFgQgR4AAAAAAAsi0AMAAAAAYEEEegAAAAAALIhADwAAAACABRHoAQAAAACwIAI9AAAAAAAWRKAHAAAAAMCCCPQAAAAAAFgQgR4AAAAAAAsi0AMAAAAAYEEEegAAAAAALIhADwAAAACABRHoAQAAAACwIAI9AAAAAAAWRKAHAAAAAMCCCPQAAAAAAFgQgR4AAAAAAAsi0AMAAAAAYEEEegAAAAAALIhADwAAAACABRHoAQAAAACwIAI9AAAAAAAWRKAHAAAAAMCC7shA7+Li6AoAAAAAALg1bo4uwBF8Snhq1MwNOh17IUftfEt5amzP+nlUFQAAAAAA2XdHBnpJOh17QVFnEh1dBgAAAAAAN+WOvOQeAAAAAACrI9ADAAAAAGBBBHoAAAAAACyIQA8AAAAAgAUR6AEAAAAAsCACPQAAAAAAFkSgBwAAAADAggj0AAAAAABYEIEeAAAAAAALItADAAAAAGBBBHoAAAAAACyIQA8AAAAAgAUR6AEAAAAAsCACPQAAAAAAFkSgBwAAAADAggj0AAAAAABYEIEeAAAAAAALItADAAAAAGBBBHoAAAA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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.plot_posterior(model.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"], \n", + " figsize = [14, 8]);" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:14.143043Z", + "start_time": "2018-10-04T05:00:14.131451Z" + }, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
ParameterPredicted Mean ValueTrue value
0length_scale2.2521741.0
1signal_variance1.0376873.0
2noise_variance3.0688202.0
\n", + "
" + ], + "text/plain": [ + " Parameter Predicted Mean Value True value\n", + "0 length_scale 2.252174 1.0\n", + "1 signal_variance 1.037687 3.0\n", + "2 noise_variance 3.068820 2.0" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# collect the results into a pandas dataframe to display\n", + "# \"mp\" stands for marginal posterior\n", + "pd.DataFrame({\"Parameter\": [\"length_scale\", \"signal_variance\", \"noise_variance\"],\n", + " \"Predicted Mean Value\": [float(model.trace[\"length_scale\"].mean(axis=0)), \n", + " float(model.trace[\"signal_variance\"].mean(axis=0)), \n", + " float(model.trace[\"noise_variance\"].mean(axis=0))],\n", + " \"True value\": [length_scale_true, signal_variance_true, noise_variance_true]})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 6: Use the model for prediction" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:47.345965Z", + "start_time": "2018-10-04T05:00:14.145263Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 2000/2000 [00:23<00:00, 85.22it/s] \n" + ] + } + ], + "source": [ + "y_predict1 = model.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:47.354788Z", + "start_time": "2018-10-04T05:00:47.348497Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.01039243, 0.06928153, 0.03950586, 0.01245235, 0.01558641,\n", + " 0.00130206, 0.00253814, 0.01381435, 0.01572918, 0.01551963,\n", + " 0.01152405, 0.05127558, 0.01378134, -0.00437462, -0.00987624,\n", + " -0.02402889, -0.00931396, 0.00659916, 0.07702929, 0.02747337,\n", + " 0.00627992, -0.01836717, 0.00304919, 0.00282263, 0.02107704,\n", + " -0.01349068, 0.00097655, -0.00699041, 0.01394039, -0.00600929,\n", + " 0.00452637, 0.01445214, 0.01036438, -0.00198635, 0.06338697,\n", + " -0.00666095, -0.01863465, -0.00845492, 0.00433153, 0.01302064,\n", + " 0.01034969, 0.0357337 , 0.00711267, 0.04875953, -0.0064398 ])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_predict1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:00:47.648096Z", + "start_time": "2018-10-04T05:00:47.357019Z" + } + }, + "outputs": [], + "source": [ + "model.score(X_test, y_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:01:24.614580Z", + "start_time": "2018-10-04T05:01:23.746692Z" + } + }, + "outputs": [], + "source": [ + "model.save('pickle_jar/gpr')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use already trained model for prediction" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:01:56.024145Z", + "start_time": "2018-10-04T05:01:39.793206Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 2000/2000 [00:14<00:00, 134.89it/s]\n" + ] + }, + { + "data": { + "text/plain": [ + "0.00012534743311642949" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model_new = GaussianProcessRegression()\n", + "model_new.load('pickle_jar/gpr')\n", + "model_new.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Multiple Features" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:02:09.642401Z", + "start_time": "2018-10-04T05:02:09.638518Z" + } + }, + "outputs": [], + "source": [ + "num_pred = 2\n", + "X = np.random.randn(1000, num_pred)\n", + "noise = 2 * np.random.randn(1000,)\n", + "Y = X.dot(np.array([4, 5])) + 3 + noise" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:02:10.536034Z", + "start_time": "2018-10-04T05:02:10.533247Z" + } + }, + "outputs": [], + "source": [ + "y = np.squeeze(Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:02:16.481686Z", + "start_time": "2018-10-04T05:02:16.479032Z" + } + }, + "outputs": [], + "source": [ + "model_big = GaussianProcessRegression()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:12:21.180300Z", + "start_time": "2018-10-04T05:02:20.119524Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Average Loss = 5,565.9: 100%|██████████| 1000/1000 [02:31<00:00, 7.59it/s]\n", + "Finished [100%]: Average Loss = 5,554.3\n" + ] + }, + { + "data": { + "text/plain": [ + "GaussianProcessRegression(prior_mean=0.0)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model_big.fit(X, y, inference_args={\"n\" : 1000})" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:12:21.239231Z", + "start_time": "2018-10-04T05:12:21.183410Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " mean sd mc_error hpd_2.5 hpd_97.5\n", + "signal_variance__0 5.433045 4.026866 0.036017 0.601513 12.776900\n", + "length_scale__0_0 2.460546 2.034025 0.021939 0.192283 6.279051\n", + "length_scale__0_1 2.437830 1.994458 0.018703 0.267447 6.202378\n", + "noise_variance__0 7.112196 4.864623 0.045758 1.008254 16.378251" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pm.summary(model_big.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## MCMC" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Perform inference" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.716175Z", + "start_time": "2018-10-04T05:12:21.241960Z" + }, + "scrolled": false + }, + "outputs": [], + "source": [ + "model2 = GaussianProcessRegression()\n", + "model2.fit(X_train, y_train, inference_type='nuts')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Diagnose convergence" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.717700Z", + "start_time": "2018-10-04T05:02:33.428Z" + } + }, + "outputs": [], + "source": [ + "pm.traceplot(model2.trace, lines = {\"signal_variance\": signal_variance_true, \n", + " \"noise_variance\": noise_variance_true, \n", + " \"length_scale\": length_scale_true}, \n", + " varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.718981Z", + "start_time": "2018-10-04T05:02:36.276Z" + } + }, + "outputs": [], + "source": [ + "pm.gelman_rubin(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.720199Z", + "start_time": "2018-10-04T05:02:37.300Z" + } + }, + "outputs": [], + "source": [ + "pm.energyplot(model2.trace);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.721744Z", + "start_time": "2018-10-04T05:02:40.755Z" + } + }, + "outputs": [], + "source": [ + "pm.forestplot(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Criticize the model" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.723341Z", + "start_time": "2018-10-04T05:02:42.291Z" + } + }, + "outputs": [], + "source": [ + "pm.summary(model2.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.725001Z", + "start_time": "2018-10-04T05:02:43.475Z" + }, + "scrolled": true + }, + "outputs": [], + "source": [ + "# collect the results into a pandas dataframe to display\n", + "# \"mp\" stands for marginal posterior\n", + "pd.DataFrame({\"Parameter\": [\"length_scale\", \"signal_variance\", \"noise_variance\"],\n", + " \"Predicted Mean Value\": [float(model2.trace[\"length_scale\"].mean(axis=0)), \n", + " float(model2.trace[\"signal_variance\"].mean(axis=0)), \n", + " float(model2.trace[\"noise_variance\"].mean(axis=0))],\n", + " \"True value\": [length_scale_true, signal_variance_true, noise_variance_true]})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.726191Z", + "start_time": "2018-10-04T05:02:49.211Z" + } + }, + "outputs": [], + "source": [ + "pm.plot_posterior(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"], \n", + " figsize = [14, 8]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Use the model for prediction" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.727197Z", + "start_time": "2018-10-04T05:02:58.910Z" + } + }, + "outputs": [], + "source": [ + "y_predict2 = model2.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.728348Z", + "start_time": "2018-10-04T05:02:59.637Z" + } + }, + "outputs": [], + "source": [ + "y_predict2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.729536Z", + "start_time": "2018-10-04T05:03:05.390Z" + } + }, + "outputs": [], + "source": [ + "model2.score(X_test, y_test)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:18:54.730819Z", + "start_time": "2018-10-04T05:03:09.605Z" + } + }, + "outputs": [], + "source": [ + "model2.save('pickle_jar/gpr2')\n", + "model2_new = GaussianProcessRegression()\n", + "model2_new.load('pickle_jar//gpr2')\n", + "model2_new.score(X_test, y_test)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:pymc3-models]", + "language": "python", + "name": "conda-env-pymc3-models-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.6" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": { + "height": "calc(100% - 180px)", + "left": "10px", + "top": "150px", + "width": "177.6px" + }, + "toc_section_display": true, + "toc_window_display": true + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebooks/SparseGaussianProcessRegression.ipynb b/notebooks/SparseGaussianProcessRegression.ipynb new file mode 100644 index 0000000..8cfcedf --- /dev/null +++ b/notebooks/SparseGaussianProcessRegression.ipynb @@ -0,0 +1,3478 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sparse Gaussian Process Regression\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's set some setting for this Jupyter Notebook." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:46:47.571566Z", + "start_time": "2018-10-04T05:46:46.296288Z" + } + }, + "outputs": [], + "source": [ + "%matplotlib inline \n", + "from warnings import filterwarnings\n", + "filterwarnings(\"ignore\")\n", + "import os\n", + "os.environ['MKL_THREADING_LAYER'] = 'GNU'\n", + "os.environ['THEANO_FLAGS'] = 'device=cpu' \n", + " \n", + "import numpy as np\n", + "import pandas as pd\n", + "import pymc3 as pm\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "np.random.seed(12345)\n", + "rc = {'xtick.labelsize': 20, 'ytick.labelsize': 20, 'axes.labelsize': 20, 'font.size': 20, \n", + " 'legend.fontsize': 12.0, 'axes.titlesize': 10, \"figure.figsize\": [12, 6]}\n", + "sns.set(rc = rc)\n", + "from IPython.core.interactiveshell import InteractiveShell\n", + "InteractiveShell.ast_node_interactivity = \"all\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Now, let's import the `SparseGaussianProcessRegression` algorithm from the `pymc3_models` package." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:46:52.165418Z", + "start_time": "2018-10-04T05:46:52.161343Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running on pymc3_models v1.1.3\n" + ] + } + ], + "source": [ + "import pymc3_models\n", + "from pymc3_models import SparseGaussianProcessRegression\n", + "print('Running on pymc3_models v{}'.format(pymc3_models.__version__))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 1: Prepare the data\n", + "Generate synthetic data." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:34:55.463483Z", + "start_time": "2018-10-04T05:34:52.584941Z" + }, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "n = 150 # The number of data points\n", + "X = np.linspace(start = 0, stop = 10, num = n)[:, None] # The inputs to the GP, they must be arranged as a column vector\n", + "\n", + "# Define the true covariance function and its parameters\n", + "length_scale_true = 1.0\n", + "signal_variance_true = 3.0\n", + "cov_func = signal_variance_true**2 * pm.gp.cov.ExpQuad(1, length_scale_true)\n", + "\n", + "# A mean function that is zero everywhere\n", + "mean_func = pm.gp.mean.Constant(10)\n", + "\n", + "# The latent function values are one sample from a multivariate normal\n", + "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n", + "f_true = np.random.multivariate_normal(mean_func(X).eval(),\n", + " cov_func(X).eval() + 1e-8*np.eye(n), 1).flatten()\n", + "\n", + "# The observed data is the latent function plus a small amount of Gaussian distributed noise\n", + "# The standard deviation of the noise is `sigma`\n", + "noise_variance_true = 2.0\n", + "y = f_true + noise_variance_true * np.random.randn(n)\n", + "\n", + "## Plot the data and the unobserved latent function\n", + "fig = plt.figure(figsize=(12,5))\n", + "ax = fig.gca()\n", + "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n", + "ax.plot(X, y, 'ok', ms=3, label=\"Data\");\n", + "ax.set_xlabel(\"X\"); ax.set_ylabel(\"y\"); plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:34:55.476610Z", + "start_time": "2018-10-04T05:34:55.466187Z" + } + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 2: Instantiate a model" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:34:55.480984Z", + "start_time": "2018-10-04T05:34:55.478506Z" + } + }, + "outputs": [], + "source": [ + "model = SparseGaussianProcessRegression()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 3: Perform Inference" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:35:53.556278Z", + "start_time": "2018-10-04T05:35:02.765434Z" + }, + "scrolled": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Average Loss = -515.41: 100%|██████████| 25000/25000 [00:39<00:00, 636.88it/s] \n", + "Finished [100%]: Average Loss = -515.57\n" + ] + }, + { + "data": { + "text/plain": [ + "SparseGaussianProcessRegression(prior_mean=0.0)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(X_train, y_train)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 4: Diagnose convergence" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "ExecuteTime": { + "end_time": "2018-10-04T05:36:21.117703Z", + "start_time": "2018-10-04T05:36:20.853534Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(model.trace);" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "ExecuteTime": { + "end_time": "2018-08-19T21:50:54.234130Z", + "start_time": "2018-08-19T21:50:53.503497Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(model.trace, lines = {\"signal_variance\": signal_variance_true, \n", + " \"noise_variance\": noise_variance_true, \n", + " \"length_scale\": length_scale_true}, \n", + " varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "ExecuteTime": { + "end_time": "2018-08-19T14:07:51.411335Z", + "start_time": "2018-08-19T14:07:51.217745Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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meansdmc_errorhpd_2.5hpd_97.5
signal_variance__02.266128e-203.632205e-213.731201e-231.578536e-202.999736e-20
length_scale__0_02.233311e+002.182089e+002.042519e-021.187429e-016.257235e+00
noise_variance__02.216509e-203.491209e-213.041214e-231.571128e-202.914439e-20
\n", + "
" + ], + "text/plain": [ + " mean sd mc_error hpd_2.5 \\\n", + "signal_variance__0 2.266128e-20 3.632205e-21 3.731201e-23 1.578536e-20 \n", + "length_scale__0_0 2.233311e+00 2.182089e+00 2.042519e-02 1.187429e-01 \n", + "noise_variance__0 2.216509e-20 3.491209e-21 3.041214e-23 1.571128e-20 \n", + "\n", + " hpd_97.5 \n", + "signal_variance__0 2.999736e-20 \n", + "length_scale__0_0 6.257235e+00 \n", + "noise_variance__0 2.914439e-20 " + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pm.summary(model.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "ExecuteTime": { + "end_time": "2018-08-19T14:08:05.635140Z", + "start_time": "2018-08-19T14:08:04.895809Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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ParameterPredicted Mean ValueTrue value
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2noise_variance0.0022412.0
\n", + "
" + ], + "text/plain": [ + " Parameter Predicted Mean Value True value\n", + "0 length_scale 2.182521 1.0\n", + "1 signal_variance 9.261435 3.0\n", + "2 noise_variance 0.002241 2.0" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# collect the results into a pandas dataframe to display\n", + "# \"mp\" stands for marginal posterior\n", + "pd.DataFrame({\"Parameter\": [\"length_scale\", \"signal_variance\", \"noise_variance\"],\n", + " \"Predicted Mean Value\": [float(model.trace[\"length_scale\"].mean(axis=0)), \n", + " float(model.trace[\"signal_variance\"].mean(axis=0)), \n", + " float(model.trace[\"noise_variance\"].mean(axis=0))],\n", + " \"True value\": [length_scale_true, signal_variance_true, noise_variance_true]})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 6: Use the model for prediction" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-08-19T22:24:43.024923Z", + "start_time": "2018-08-19T22:11:10.376997Z" + } + }, + "outputs": [], + "source": [ + "y_predict1 = model.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-08-19T14:08:32.926468Z", + "start_time": "2018-08-19T14:08:32.525Z" + } + }, + "outputs": [], + "source": [ + "y_predict1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2018-08-10T14:03:42.646070Z", + "start_time": "2018-08-10T14:03:11.416334Z" + } + }, + "outputs": [], + "source": [ + "model.score(X_test, y_test)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "model.save('pickle_jar/sgpr')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use already trained model for prediction" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "model_new = SparseGaussianProcessRegression()\n", + "model_new.load('pickle_jar/sgpr')\n", + "model_new.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Multiple Features" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num_pred = 2\n", + "X = np.random.randn(1000, num_pred)\n", + "noise = 2 * np.random.randn(1000,)\n", + "Y = X.dot(np.array([4, 5])) + 3 + noise" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "y = np.squeeze(Y)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "model_big = SparseGaussianProcessRegression()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "model_big.fit(X, y, inference_args={\"n\" : 1000})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pm.summary(model_big.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## MCMC" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Perform inference" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [f_rotated_, noise_variance_log__, signal_variance_log__, length_scale_log__]\n", + "100%|██████████| 1500/1500 [00:24<00:00, 60.20it/s]\n", + "There were 92 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 88 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 87 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 40 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "The number of effective samples is smaller than 10% for some parameters.\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [f_rotated_, noise_variance_log__, signal_variance_log__, length_scale_log__]\n", + "100%|██████████| 4000/4000 [11:41<00:00, 5.70it/s]\n", + "There were 4 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 2 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 1 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 1 divergences after tuning. Increase `target_accept` or reparameterize.\n" + ] + }, + { + "data": { + "text/plain": [ + "GaussianProcessRegression()" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model2 = SparseGaussianProcessRegression()\n", + "model2.fit(X_train, y_train, inference_type='nuts')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Diagnose convergence" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " if (mpl.ratio != 1) {\n", + " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", + " }\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " fig.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var backingStore = this.context.backingStorePixelRatio ||\n", + "\tthis.context.webkitBackingStorePixelRatio ||\n", + "\tthis.context.mozBackingStorePixelRatio ||\n", + "\tthis.context.msBackingStorePixelRatio ||\n", + "\tthis.context.oBackingStorePixelRatio ||\n", + "\tthis.context.backingStorePixelRatio || 1;\n", + "\n", + " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width * mpl.ratio);\n", + " canvas.attr('height', height * mpl.ratio);\n", + " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.energyplot(model2.trace);" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "pm.forestplot(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Criticize the model" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
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" + ], + "text/plain": [ + " mean sd mc_error hpd_2.5 hpd_97.5 \\\n", + "signal_variance__0 3.354521 5.059969 0.072611 0.004388 10.494186 \n", + "length_scale__0_0 2.004001 1.446405 0.013286 0.033810 4.790922 \n", + "noise_variance__0 2.544328 0.264045 0.003021 2.074630 3.086981 \n", + "\n", + " n_eff Rhat \n", + "signal_variance__0 3949.565916 1.001348 \n", + "length_scale__0_0 12131.009636 0.999767 \n", + "noise_variance__0 8803.802924 0.999830 " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pm.summary(model2.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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ParameterPredicted Mean ValueTrue value
0length_scale2.0040011.0
1signal_variance3.3545213.0
2noise_variance2.5443282.0
\n", + "
" + ], + "text/plain": [ + " Parameter Predicted Mean Value True value\n", + "0 length_scale 2.004001 1.0\n", + "1 signal_variance 3.354521 3.0\n", + "2 noise_variance 2.544328 2.0" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# collect the results into a pandas dataframe to display\n", + "# \"mp\" stands for marginal posterior\n", + "pd.DataFrame({\"Parameter\": [\"length_scale\", \"signal_variance\", \"noise_variance\"],\n", + " \"Predicted Mean Value\": [float(model2.trace[\"length_scale\"].mean(axis=0)), \n", + " float(model2.trace[\"signal_variance\"].mean(axis=0)), \n", + " float(model2.trace[\"noise_variance\"].mean(axis=0))],\n", + " \"True value\": [length_scale_true, signal_variance_true, noise_variance_true]})" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
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');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var backingStore = this.context.backingStorePixelRatio ||\n", + "\tthis.context.webkitBackingStorePixelRatio ||\n", + "\tthis.context.mozBackingStorePixelRatio ||\n", + "\tthis.context.msBackingStorePixelRatio ||\n", + "\tthis.context.oBackingStorePixelRatio ||\n", + "\tthis.context.backingStorePixelRatio || 1;\n", + "\n", + " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width * mpl.ratio);\n", + " canvas.attr('height', height * mpl.ratio);\n", + " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('