{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(GP-MeansAndCovs)=\n", "# Mean and Covariance Functions\n", "\n", ":::{post} Mar 22, 2022\n", ":tags: gaussian process\n", ":category: intermediate, reference\n", ":author: Bill Engels, Oriol Abril Pla\n", ":::" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:42.01056Z", "start_time": "2017-09-18T00:02:41.245299Z" }, "papermill": { "duration": 5.306978, "end_time": "2020-12-22T18:36:31.587812", "exception": false, "start_time": "2020-12-22T18:36:26.280834", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "import arviz as az\n", "import matplotlib.cm as cmap\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pymc as pm\n", "import pytensor\n", "import pytensor.tensor as pt\n", "import scipy.stats as stats" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "papermill": { "duration": 0.047175, "end_time": "2020-12-22T18:36:31.674100", "exception": false, "start_time": "2020-12-22T18:36:31.626925", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "RANDOM_SEED = 8927\n", "\n", "rng = np.random.default_rng(RANDOM_SEED)\n", "az.style.use(\"arviz-darkgrid\")\n", "plt.rcParams[\"figure.figsize\"] = (10, 4)" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.037844, "end_time": "2020-12-22T18:36:31.751886", "exception": false, "start_time": "2020-12-22T18:36:31.714042", "status": "completed" }, "tags": [] }, "source": [ "A large set of mean and covariance functions are available in PyMC. It is relatively easy to define custom mean and covariance functions. Since PyMC uses PyTensor, their gradients do not need to be defined by the user. \n", "\n", "## Mean functions\n", "\n", "The following mean functions are available in PyMC.\n", "\n", "- {class}`pymc.gp.mean.Zero`\n", "- {class}`pymc.gp.mean.Constant`\n", "- {class}`pymc.gp.mean.Linear`\n", "\n", "All follow a similar usage pattern. First, the mean function is specified. Then it can be evaluated over some inputs. The first two mean functions are very simple. Regardless of the inputs, `gp.mean.Zero` returns a vector of zeros with the same length as the number of input values.\n", "\n", "### Zero" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:05:07.845415Z", "start_time": "2017-09-18T00:05:07.816687Z" }, "papermill": { "duration": 1.075408, "end_time": "2020-12-22T18:36:32.865469", "exception": false, "start_time": "2020-12-22T18:36:31.790061", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0. 0. 0. 0. 0.]\n" ] } ], "source": [ "zero_func = pm.gp.mean.Zero()\n", "\n", "X = np.linspace(0, 1, 5)[:, None]\n", "print(zero_func(X).eval())" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.040891, "end_time": "2020-12-22T18:36:32.947028", "exception": false, "start_time": "2020-12-22T18:36:32.906137", "status": "completed" }, "tags": [] }, "source": [ "The default mean functions for all GP implementations in PyMC is `Zero`.\n", "\n", "### Constant\n", "\n", "`gp.mean.Constant` returns a vector whose value is provided." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:05:09.813946Z", "start_time": "2017-09-18T00:05:09.779518Z" }, "papermill": { "duration": 2.12553, "end_time": "2020-12-22T18:36:35.113789", "exception": false, "start_time": "2020-12-22T18:36:32.988259", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[25.2 25.2 25.2 25.2 25.2]\n" ] } ], "source": [ "const_func = pm.gp.mean.Constant(25.2)\n", "\n", "print(const_func(X).eval())" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.039627, "end_time": "2020-12-22T18:36:35.195057", "exception": false, "start_time": "2020-12-22T18:36:35.155430", "status": "completed" }, "tags": [] }, "source": [ "As long as the shape matches the input it will receive, `gp.mean.Constant` can also accept a PyTensor tensor or vector of PyMC random variables." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:05:11.97429Z", "start_time": "2017-09-18T00:05:11.939523Z" }, "papermill": { "duration": 1.408839, "end_time": "2020-12-22T18:36:36.644770", "exception": false, "start_time": "2020-12-22T18:36:35.235931", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1. 1. 1. 1. 1.]\n" ] } ], "source": [ "const_func_vec = pm.gp.mean.Constant(pt.ones(5))\n", "\n", "print(const_func_vec(X).eval())" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.04127, "end_time": "2020-12-22T18:36:36.726017", "exception": false, "start_time": "2020-12-22T18:36:36.684747", "status": "completed" }, "tags": [] }, "source": [ "### Linear\n", "\n", "`gp.mean.Linear` is a takes as input a matrix of coefficients and a vector of intercepts (or a slope and scalar intercept in one dimension)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:05:14.707255Z", "start_time": "2017-09-18T00:05:14.62575Z" }, "papermill": { "duration": 0.073879, "end_time": "2020-12-22T18:36:36.839351", "exception": false, "start_time": "2020-12-22T18:36:36.765472", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.03424803 -2.25903687 0.78030931 0.9880038 -3.45565466]\n" ] } ], "source": [ "beta = rng.normal(size=3)\n", "b = 0.0\n", "\n", "lin_func = pm.gp.mean.Linear(coeffs=beta, intercept=b)\n", "\n", "X = rng.normal(size=(5, 3))\n", "print(lin_func(X).eval())" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.03931, "end_time": "2020-12-22T18:36:36.918672", "exception": false, "start_time": "2020-12-22T18:36:36.879362", "status": "completed" }, "tags": [] }, "source": [ "## Defining a custom mean function\n", "\n", "To define a custom mean function, subclass `gp.mean.Mean`, and provide `__call__` and `__init__` methods. For example, the code for the `Constant` mean function is\n", "\n", "```python\n", "import theano.tensor as tt\n", "\n", "class Constant(pm.gp.mean.Mean):\n", " \n", " def __init__(self, c=0):\n", " Mean.__init__(self)\n", " self.c = c \n", "\n", " def __call__(self, X): \n", " return tt.alloc(1.0, X.shape[0]) * self.c\n", "\n", "```\n", "\n", "Remember that PyTensor must be used instead of NumPy." ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.039306, "end_time": "2020-12-22T18:36:36.998649", "exception": false, "start_time": "2020-12-22T18:36:36.959343", "status": "completed" }, "tags": [] }, "source": [ "## Covariance functions\n", "\n", "PyMC contains a much larger suite of {mod}`built-in covariance functions `. The following shows functions drawn from a GP prior with a given covariance function, and demonstrates how composite covariance functions can be constructed with Python operators in a straightforward manner. Our goal was for our API to follow kernel algebra (see Ch.4 of {cite:t}`rasmussen2003gaussian`) as closely as possible. See the main documentation page for an overview on their usage in PyMC." ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.039789, "end_time": "2020-12-22T18:36:37.078199", "exception": false, "start_time": "2020-12-22T18:36:37.038410", "status": "completed" }, "tags": [] }, "source": [ "### Exponentiated Quadratic\n", "\n", "$$\n", "k(x, x') = \\mathrm{exp}\\left[ -\\frac{(x - x')^2}{2 \\ell^2} \\right]\n", "$$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:48.08335Z", "start_time": "2017-09-18T00:02:47.649571Z" }, "papermill": { "duration": 7.505078, "end_time": "2020-12-22T18:36:44.626679", "exception": false, "start_time": "2020-12-22T18:36:37.121601", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lengthscale = 0.2\n", "eta = 2.0\n", "cov = eta**2 * pm.gp.cov.ExpQuad(1, lengthscale)\n", "# Add white noise to stabilise\n", "cov += pm.gp.cov.WhiteNoise(1e-6)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(\n", " pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=K.shape[0]), draws=3, random_seed=rng\n", " ).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.042546, "end_time": "2020-12-22T18:36:44.712169", "exception": false, "start_time": "2020-12-22T18:36:44.669623", "status": "completed" }, "tags": [] }, "source": [ "### Two (and higher) Dimensional Inputs\n", "\n", "#### Both dimensions active\n", "\n", "It is easy to define kernels with higher dimensional inputs. Notice that the ```ls``` (lengthscale) parameter is an array of length 2. Lists of PyMC random variables can be used for automatic relevance determination (ARD)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:48.452193Z", "start_time": "2017-09-18T00:02:48.085342Z" }, "papermill": { "duration": 3.19044, "end_time": "2020-12-22T18:36:47.946218", "exception": false, "start_time": "2020-12-22T18:36:44.755778", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1 = np.linspace(0, 1, 10)\n", "x2 = np.arange(1, 4)\n", "# Cartesian product\n", "X2 = np.dstack(np.meshgrid(x1, x2)).reshape(-1, 2)\n", "\n", "ls = np.array([0.2, 1.0])\n", "cov = pm.gp.cov.ExpQuad(input_dim=2, ls=ls)\n", "\n", "m = plt.imshow(cov(X2).eval(), cmap=\"inferno\", interpolation=\"none\")\n", "plt.colorbar(m);" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.043142, "end_time": "2020-12-22T18:36:48.032797", "exception": false, "start_time": "2020-12-22T18:36:47.989655", "status": "completed" }, "tags": [] }, "source": [ "#### One dimension active" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:48.797628Z", "start_time": "2017-09-18T00:02:48.454837Z" }, "papermill": { "duration": 0.673374, "end_time": "2020-12-22T18:36:48.749451", "exception": false, "start_time": "2020-12-22T18:36:48.076077", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ls = 0.2\n", "cov = pm.gp.cov.ExpQuad(input_dim=2, ls=ls, active_dims=[0])\n", "\n", "m = plt.imshow(cov(X2).eval(), cmap=\"inferno\", interpolation=\"none\")\n", "plt.colorbar(m);" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-01-16T15:54:27.61052", "start_time": "2017-01-16T15:54:27.607345" }, "papermill": { "duration": 0.045376, "end_time": "2020-12-22T18:36:48.840086", "exception": false, "start_time": "2020-12-22T18:36:48.794710", "status": "completed" }, "tags": [] }, "source": [ "#### Product of covariances over different dimensions\n", "\n", "Note that this is equivalent to using a two dimensional `ExpQuad` with separate lengthscale parameters for each dimension." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:49.180865Z", "start_time": "2017-09-18T00:02:48.803617Z" }, "papermill": { "duration": 1.600894, "end_time": "2020-12-22T18:36:50.486049", "exception": false, "start_time": "2020-12-22T18:36:48.885155", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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HdfVpJCYObmeEGOoR/tVC9fuYBgrVj5X9ZwSstjgUntyG9GELUe9oUNRvNCiPeSB1nrZ5DQJzus4L1Re5D1+SJO0F/JyrgtKOcc7FdrcVFRUhMzMTZrMZM2bMgNVqRUFBAaqrq/HMM88gIyOjw/a/+eYbzJkzBxcvXkR6ejquu+46OBwO7Nu3D7W1tZg9ezbWrFkj1OdeXbT3wAMPYPfu3SgpKWk34Dc1NaGpSf0PSpIcin8wotz1Qn1oMDcK1fc6lSdsQM1i/Wkb0JXb2mwXbF+0/w2S2O9Hcon1R2pof0pQ7fiaBafo66PF9rfJJLa/zYK/T7XEOq3bGp2q20Xfo8khtg/1klj7klssMUuTW/0YS5IUpIAvNmZpNov9DUWZxAKyanIdAPWOBjhUfteiAV/yiJ1jTpfYtHvEJ94JMY/Hg1WrVsFgMGDHjh0YPnw4AGDJkiW4//77sW7dOkydOrXDW9Jff/11XLhwAStWrPC7pf3Xv/417rnnHrz99tt44oknhG5t79Vc+v369QMAOJ1if/BERERd4vUG56sdRUVFOH36NGbOnNka7IGWma1FixbB7XYjNze3w25+803L7OGkSZP8yvv06YNRo0YBAC5cuCC0670a8EtLSwEw+Q4REfUQrxycr3YcPtxyySs9PV2xzVdWXFzcYTdTU1MBAPv37/crr6urw9GjRxEfH48f/vCHnd5toAem9E+dOoWBAwciLi5OUf7KK68AAO66q/1s4bKsnJ6U5ejWbW23q+XeD0QTufeNVhgnPtByvb7NFL567n3B9gMIde79nIbjijL58mULGZ7W//dxucWuN2sh977REodktFyrV5u+V8u/L/oegYU29/7n7l1C9dXy6wesHea5932r8BsNTtXp+7a590XbD7aQ/34iXEVFBQBgyJAhim3x8fGwWCyorKzssJ2f/exneP/997FmzRp89NFHftfwY2Nj8dprryE2VuyOnJAH/Pz8fGzbtg1jxoxpDfwVFRU4cOAA3G43Hn/8cYwZMybU3SAiIgLk0N6W53C0fABt77ZTm83WqdsZr776avz5z3/GU089hQMHDuCjjz4CAMTGxuLBBx/E9ddfL9y3kAf8sWPH4tSpUygrK8Mnn3yCxsZG9OvXDz/+8Y8xb9481WkPIiKikAgwHR9OKisrsWjRIlgsltbFf5Ik4a9//St+97vfobCwEDt27BC6NS/kAT8tLQ1paWK3RhEREYVEiAO+L6dMe6N4h8OBvn37dtjO8uXLUVNTg7179yI+vuV2ZKvVip///Oc4f/483nzzTbz77ru4++67O923Xl20R0REFEmSk5MBQPU6fW1tLZxOp+r1/Ss5HA6UlJQgJSWlNdhfaezYsQCAsrIyob4x4BMRkX6EeJW+b01aYWGhYpuvrKN1a263G0D7t919/31Llr+2Sek6woBPRES6IXuD89We8ePHY9CgQcjLy/MbgUuShM2bNyM6OhqzZs1qLT937hxOnTrldwmgX79+uPbaa1FTU4OcnBy/9uvq6vDGG28A+OdIv7P4eFwiIqIgMZlMWL16NTIzM/HQQw+pptZNSkpqrb9u3Trk5uZizZo1mD17dmv5s88+i8WLF+O5557Du+++i+HDh6Ourg7vv/8+vv/+e0ydOhUTJkwQ61vQ9pKIiCjc9cAq/XHjxmHnzp3YsGED8vPzWx+es2zZsk4/PGfSpEn47//+b7z++us4cuQIiouLYTabkZKSgiVLluCnP/2pcL8Y8ImISD966Om4I0eOxNatWzusl5WVhaysrHbbWL9+fdD6xIBPRET60UMBPxxx0R4REZEORNwIXy33fiBayL0fZYnD6PyWZ9m3fbytaG78cMu9n7O/4zpXaptbvyNayL0fY4vFBLQ8x17t0baiufHDLff+5yF/GGZ45973elpy5dd5atQfbSuYGz/ccu9rjjYS7YVExAV8IiKi9sheQ293oddwSp+IiEgHOMInIiL90PGiPQZ8IiLSD07pExERUSTjCJ+IiHRDz4v2GPCJiEg/GPCJiIh0QNZvwOc1fCIiIh3gCJ+IiHSD1/CJiIj0wKvfiW3dB3wt5N6Ps8fiTQDZx4aiQfLvr2ju+nDLvY9JYtVFaSH3vtUThxcBFFw8h3qpQflDgrnrwy33/tpqwR8IuZ7NvW902S+Xn4fTJQm1pYq596mLdB/wiYhIRzilT0REFPlkHa/SZ8AnIiL90PE1fP3uORERkY5whE9ERLrB2/KIiIj0QMcBn1P6REREOsARPhER6QZX6RMREemBjlfpM+ATEZFu6HnRnn4/6hAREekIR/iCeiP3vt3Vkgv7A9dBSK56/40qufcDCbfc+8CjgvVDqzdy79vdNgBAufswJLcyb7ta/v3Awiv3vvZ1L/d+8+URZbPXoZqXv23u/aALde59jeE1fCIiIj3Q8TV8/e45ERGRjnCET0REuqHnRXsM+EREpBu8hk9ERKQHvIZPREREkYwjfCIi0g1ewyciItIBPV/D55Q+ERGRDnCET0RE+qHjRXsM+EREpBu8hh/Gyu8brSgzxFkAAKX33Ay5wem3rerMD4Ta/1uFWN7x/Atnhep/5VbmTg/kUsM/FGVek/3ythOQGiS/bTkNx4Xaz9kvVB2YJFhfMDe+x/umSmnLn+WFS5uBNrntvR+J5fY/+vxQofqvfJoiVP891wGh+mrPVnB53JdfL8DlkRTbP3fvEnqPz50d17nS2mqx+qLansOBzl9A++dw2+crGGBoffX9/5WavZeE2pcaBevjpFD9SKfna/jCAX/37t04cuQIjh8/jhMnTsDtdmPNmjWYPXu2an2Hw4Hs7GwUFBSgtrYWCQkJmDp1Kp544glYrZH9kAYiIqJwIRzw169fj+rqavTr1w8JCQmorm5/eOB0OjF//nyUlZUhPT0dM2bMQFlZGd544w0UFxdjx44diImJ6dYOEBERdZaep/SFVy+sXr0a77//PoqKivDggw8GrLt161aUlZXhsccew+uvv45ly5bh9ddfx2OPPYZjx47hj3/8Y1f7TUREJEyWo4LypUXCvZ4wYQISEzt+vrIsy8jJyYHFYsHixYv9ti1evBgWiwU5OTmib09ERERdELKPKRUVFTh37hxGjRoFi8Xit81isWDUqFH45ptv8O2334aqC0RERP68huB8aVDIVulXVlYCAJKTk1W3Jycno7CwEBUVFbjmmmvabccQbQZM/t00xFr8Xq9ktMQJ9TPGFitU3+oRa9/utgnVd7kblG3YbX6vV5LbrGLXHrU/QVP724xiCz2jBP8e4uxifw92l1h/vNF2ZRsBji8AyHK00HuEG9+q/NbvA5y/QOSdwx0eXw2fw5KkvKsk3HGVfgj4/hBsNvU/cl+5w+EI2E7Sxl0w9Y9X3TZkS56iLFmgjwAwQbD+i4L1g6mq+utefPeeZzTcpyyb+IBQG6Pzxd5T7SbBnlJVpa/bp9TOXyByz+FIPH8NhrC/s5uuEPZHq2rJfaoj/CFb8lD52EzIjf738dacHSDU/p7Tg4TqF1w813GlK5S7DwvVd7lrFWV2uw1V1V8jKfFaSJL/ByQtjw4A3732bZlgNNyHZnkXFPfhH1or1P5nLyUL1c8+Jnbf/geug0L1LzWWK8rsdhuqqk4iKWmY4vgCgCw3Cr1HuCm952a/7wOdv0DkncOBzl9A++ew1uh5lX7IAr7d3jJ12d4I3lfe3gyAj+x2AW6X+rZGpyJxR7NTOSUeSJND7B/TekmsfckdeAajLZe7/SkySXIoptC0/49FoP57lNub64Va9wr+PTRIYn8PkkusP1Kj2PEFtB/w1ZLrAOrnLxC553C7x1fz57C2aHWFfTCELOAPGTIEQMviPTW+8vau8RMREQWbnkf4Ifuok5ycjISEBJSUlMDp9P8U73Q6UVJSgqSkpIAL9oiIiCg4QjbCNxgMmDNnDjZu3IhNmzZh2bJlrds2bdoEp9OJRYsWddiOWl5toyUOyWi51td2+i/pB2eE+nmXUG0AEM3bPV6o/ldQ5u02R9suv8bDHO2/wrht3u6OhNv0oWpufKMVxokPtFyvbzOFH3Xrc0Lt3/xbsdz7y54Xqg58+mOh6u+plNljW1b6940diii38hKBWv79QMLtEkDbczjQ+QtE3jkc6PwFtH8Oaw1X6QvIycnBkSNHAAAnTpxoLTt8uGVhyy233II5c+YAADIzM7Fv3z5s2bIFZWVluOGGG/DFF1+gsLAQI0aMwKOPij1ohYiIqDsY8AUcOXIEubm5fmUlJSUoKSlp/d4X8C0WC956663Wh+d8/PHHiI+PR0ZGBpYsWYLYWLH7Z4mIiKhrhAN+VlYWsrKyOl3fbrdjxYoVWLFihehbERERBZWeF+2F/X34REREwcLb8oiIiHRAzyN8/X7UISIi0hGO8ImISDd6apV+aWkpsrOzcfToUXg8HqSmpmLBggWYPn26UDvfffcd/vCHP+DDDz/Et99+C4vFguTkZNxzzz2YN2+eUFsM+EREpBs9EfCLioqQmZkJs9mMGTNmwGq1oqCgAEuXLsWZM2eQkZHRqXbKysqQkZGBuro6TJo0CVOnToXT6cSpU6fwwQcfMOATERH1Fo/Hg1WrVsFgMGDHjh0YPnw4AGDJkiW4//77sW7dOkydOhWJiYkB23E4HFi8eDEAYNeuXbj++usV7yOK1/CJiEg3ZK8hKF/tKSoqwunTpzFz5szWYA+03KK+aNEiuN1uRS4bNTt37kRNTQ1+/etfK4I9AJhM4uN1jvCJiEg3Qj2l78s6m56ertjmKysuLu6wnfz8fBgMBkydOhXl5eU4ePAgGhsbMXToUNx6660wm83CfQv7gP+3CmXe6xhbLCag5TnYbR+NKZpXWwt5u62X828PjU5DfbR/7nG13PuBhFve7qPPK58/H2WJw+j8lmfZt328rWhufC3k3o8zt2ScvM08EQ1mZR58tfz7gYRb7v2253Cg8xeIvHM40PkLaP8c1ppQ34fvexKs74mxV4qPj4fFYkFlZWXANlwuF06cOIH+/ftj+/btyM7Ohtfrbd0+aNAgbNy4Edddd51Q3zilT0REFCQOhwNAyxS+GpvNBkmSArZx6dIlNDc34+LFi9i0aROeeuopHDp0CAcOHMDixYtRVVWFX/ziF2hqahLqGwM+ERHphlc2BOUrpH28PJpvbm7GT3/6U2RkZOBf/uVfMGDAAPzyl7/EtGnTUF1djf/93/8VapcBn4iIdCPUi/ZstpbHIbc3inc4HO2O/n2u3H777bcrtvvKjh8/3uH+XokBn4iIKEiSk5MBQPU6fW1tLZxOp+r1/StZLBYMGDAAANCnTx/Fdl8Zp/SJiIjaIcuGoHy1Z8yYMQCAwsJCxTZfma9OIOPGjQMAfPWVchGur6yje/nbYsAnIiLdCHXAHz9+PAYNGoS8vDyUlZW1lkuShM2bNyM6OhqzZs1qLT937hxOnTqluATw4IMPAgC2bNmCurq61vLa2lr86U9/QlRUFKZMmSK072F/Wx4REVGwhPo+fJPJhNWrVyMzMxMPPfSQX2rd6upqPPPMM0hKSmqtv27dOuTm5mLNmjWYPXt2a/moUaOwcOFCbNu2DXfffTduu+02eDwe7Nu3D9999x1+9atf4dprrxXrW9D2koiIiDBu3Djs3LkTGzZsQH5+fuvDc5YtWyb08Jzly5cjNTUVO3bsQG5uLgwGA4YPH44XXngBd9xxh3C/GPCJiEg3vCFOvOMzcuRIbN26tcN6WVlZyMrKanf77Nmz/Ub+3cGAT0REuhHolrpIx0V7REREOhD2I/z8C2cVZVZPHF4EUHDxHOqltrmpxfJeayFvd4ytJdf6lKsS0GTyzz2ulns/kHDL2/3KpymKsjh7LN4EkH1sKBok//0VzV2vhdz7UZaWXOtPjihXPDsAgGr+/UDCLfd+23M48PkLRNo5HOj8BbR/DmtNqBfthbOwD/hERETBwoBPRESkA6HOgx/OeA2fiIhIBzjCJyIi3eCUPhERkQ7oOeBzSp+IiEgHOMInIiLd0POiPQZ8IiLSDU7pExERUUTjCJ+IiHRDzyN8BnwiItINXsMPY1+5lXmj7W4bAKDcfRiS2+G3TTQvtRbydhsv51q/c/A3aFbkWhfrf7jl7X7PdUBRZndZAQAfuA5CctX7bxTMK6+J3PvGlv29aWUF0Fyv2Cy6D+GWe7/tORzo/AUi7xwOfP4CWj+HtUbPI3xewyciItKBsB/hExERBYueR/gM+EREpBt6vobPKX0iIiId4AifiIh0g1P6REREOqDnKX0GfCIi0g0Z+g34vIZPRESkAxzhExGRbvAaPhERkQ7o+Ro+p/SJiIh0IOxH+Gp5nV3uhsuvtXC5Jb9tonmjtZC32xBnAQAMHHAWcoOzW+2HW95utbzs3mj75W3lkBr9j69o3ndt5N5vOQ2jJjwFwNPt9wi73PsN//D7PtD5C0TeORzo/O1K++F2DmsNp/QF7N69G0eOHMHx48dx4sQJuN1urFmzBrNnz1bUzc7OxmuvvdZuW/v27UNSUpJoF4iIiLpEz1P6wgF//fr1qK6uRr9+/ZCQkIDq6uoOf+bee+9FYmKiorxPnz6ib09ERNRlHOELWL16NYYMGYLExET813/9F1599dUOf+bee+/F2LFju9RBIiIi6j7hgD9hwoRQ9IOIiCjkvDpOvNMji/aKi4vx2WefISoqCsnJyRg/fjysVmtPvDUREVErTumHWHZ2tt/3ffr0wcqVKzFr1qwOfzYmJgZms9mvzG63+b1eyRytLAvEGh0nVD/GFitU32gRa9+3otevLNbi99qd9kX7b/WItW93i/3+XR63so0Ax9ceK/ZBMc4str9Rgr9PGEU/uKqdcqYA28TfQ3Qf4uxivyO7S6w/XpPd/+cDHF8g8s7hQOdvV9oPp3NYkhxCbVPvMsiyLHf1h33X8Ntbpf/ee++hrq4OaWlpSEhIQG1tLT788ENs2LABdXV12LhxI37yk58EfI+amhoMHDiwq10kIqIQiTUPRqPrdG93Q8i7o+cFpZ0Zn+wMSjs9KaQj/DvuuMPv+6SkJMyfPx8pKSlYuHAhfve733UY8FOGDlcd4VdVf42kxGsVnzDN0fFCfRwanSZUf8pVCUL17xz8jVD9gQPOKsoMsRYM2ZKHysdmQm70v4+35uwAofb3nB4kVL/gojIPQiDl7sNC9V2eC4oyu92GqqqTSEoapji+fWOHCrV/m3miUP0nR5QL1b9pZYVQ/ZZ77dsywWi4D83yLqjdh+89tFboPT57KVmofvYxsd/pB66DQvUvNZzw+z7Q+QtE3jkc6PwFtH8Oaw2n9HvY+PHjMXjwYJw4cQIOhwM2W/tTSE1NTWhqalLdJkkOSJJ/4g6z4PRefXSDUP0mU6NQ/WanWPtqiTlatzU6FdtF229yiPW/XhJrX3KLTfG5PMrEK61tqRzfKHe9UPsNZrH99Qr+PtEs1h+1gO6/TWW74HuI7kODJPY7klxi/ZEa1I+x2vEFIvccVjt/u9J+uJ3DWuPt7Q70ol5LrduvXz8AQEOD4D+wREREJKxXRvhOpxMnT56ExWJpDfxEREShpucp/ZCN8B0OB77++mtFeWNjI1atWoX6+npMmzYNJlPYp/MnIqII4ZUNQfnSIuFom5OTgyNHjgAATpw40Vp2+HDLQo9bbrkFc+bMwcWLF3HnnXdixIgRSElJwdVXX43vvvsOhw4dwpkzZ5Camoqnn366w/eTVa5p+spkeBTb1R62E4gWHtRhtMQhGS2Le9pe71N72I5o+4GF9kEdn7t3KcpkOfryayNk2f96pdrDdgLRxMN2jFYYJz7QsjhP5Xq9+gN3BN8jgFA/bCen4bjf94HOXyDyzuFA5y+g/XOYtEM44B85cgS5ubl+ZSUlJSgpKWn9fs6cObjqqqswb948lJaWYv/+/airq0NMTAxSUlLw8MMPY/78+YiNFbuflIiIqDtkZtrrvKysLGRlZXVYz2az4fnnRYcOREREoaPV6fhg4AV0IiLSDW+XU81pX6/dlkdEREQ9hyN8IiLSDV7DJyIi0gE9X8PnlD4REZEOcIRPRES60fXnw2ofAz4REemGV8fX8DmlT0REpAMc4RMRkW7o+eE5ERfw1XJzB6KFvN0xtlhMALDn9CDFs7BF82qHW97uz9UfHd6utrn1O6KF3PtRljiMzgc+eylZ9Vn2ornxwy33fs5+sfqRdg4HOn8B7Z/DWqPnVfoRF/CJiIjao+M1e7yGT0REpAcc4RMRkW5wSp+IiEgHvL3dgV7EKX0iIiIdYMAnIiLdkGVDUL46UlpaisceewyjR4/Gv/7rv2Lu3LnIz8/vcr8vXbqEW2+9Fddddx1+9rOfdakNTukTEZFu9MQ1/KKiImRmZsJsNmPGjBmwWq0oKCjA0qVLcebMGWRkZAi3+dvf/hYOh6Nb/eIIn4iIdEMO0ld7PB4PVq1aBYPBgB07duDFF1/E8uXLsXv3biQnJ2PdunWorq4W6vPf//535OXlYdmyZUI/1xYDPhERUZAUFRXh9OnTmDlzJoYPH95abrfbsWjRIrjdbuTm5na6ve+//x6/+c1vcM8992DSpEnd6hun9ImISDdCPaV/+PBhAEB6erpim6+suLi40+39v//3/2A0GrFy5UpIktStvjHgExGRboT6tryKigoAwJAhQxTb4uPjYbFYUFlZ2am2du/ejYKCAmzcuBF9+/ZlwO8uLeTttnri8CKAgovnUC+1zbUulvc63PJ2rxW7lCVMC7n34+yxeBNA9rGhaJCU/RXNXR9uuffRvVnIDoX7ORz4/AW0fg6TP9/COrvdrrrdZrN1KnCfPXsWL730EmbOnInJkycHpW+6D/hERKQfWnla3nPPPQeTyYSVK1cGrU0GfCIi0o1QT+nbbDYAaHcU73A40Ldv34Bt5Obm4sCBA1i/fj369+8ftL4x4BMRkW6EeoSfnJwMAKisrMSNN97ot622thZOpxMjR44M2MYXX3wBAPjlL3+pur2wsBDXXXcdrr/+euzevbvTfWPAJyIiCpIxY8bgD3/4AwoLCzFjxgy/bYWFha11Arn55pvhdDoV5U6nE/n5+fjBD36A9PR0XHPNNUJ9Y8AnIiLd8AbKmhME48ePx6BBg5CXl4dHHnmk9V58SZKwefNmREdHY9asWa31z507B0mSkJCQ0LrQb/r06Zg+fbqi7aqqKuTn5+OHP/whXnrpJeG+MfEOERHpRqgz7ZlMJqxevRqyLOOhhx7CqlWrkJWVhXvuuQcVFRX41a9+haSkpNb669atw/Tp0/Hee8L3/AjjCJ+IiCiIxo0bh507d2LDhg3Iz8+Hx+NBamoqli1bpjpy7ykM+EREpBs98fAcABg5ciS2bt3aYb2srCxkZWV1qs2kpCR8+eWXXe4TAz4REelGqG/LC2cM+EREpBtaSbwTCly0R0REpAMc4QvqjbzddndL5qZy92FIboffNrXc+4GFV97ucNMbufftLisA4APXQUiuemUFlfz7gYRb7n3gUcH6odXT53Cg8xfgOdzTOKVPRESkA3KI78MPZ5zSJyIi0gGO8ImISDe80O+iPQZ8IiLSjVCn1g1nDPhERKQbvIZPREREEY0jfCIi0g1ewyciItIBTukTERFRROMIn4iIdIOZ9oiIiHSAt+UJOHv2LPbs2YMDBw6gvLwc58+fR9++fTFq1ChkZmbipptuUvyMw+FAdnY2CgoKUFtbi4SEBEydOhVPPPEErFZrwPf7oXWGosxmjQMApFinwuFt8NvWaFDJRR7AJU+1UH2nSyyvdrNXmTs7kCZ3jaLM7LZf3vYtmtyS37bP3buE2v/cKVQda8V+PcLK7xutKDPEWQAApffcDLnBv8NVZ34g1P7fKsTyjudfOCtU/yu38tkHgVxq+IeizGuyX952AlKDpNie03Bc6D1y9gtVByYJ1hfMje/xvtmmpOWfnQuXNgMqee29H4nl9j/6/FCh+q98miJU/z3XAaH6bZ+v4PK4L79egMujPL5aP4d1HD81Rzjgb9++HVu2bMHgwYMxceJE9O/fH5WVldi7dy/27t2LV199FdOnT2+t73Q6MX/+fJSVlSE9PR0zZsxAWVkZ3njjDRQXF2PHjh2IiYkJ6k4RERGp0fMHFOGAP3LkSGzfvh1paWl+5Z988gkWLFiA3/zmN5g8eTLMZjMAYOvWrSgrK8Njjz2GZcuWtdZ/5ZVXsGXLFvzxj3/E448/3s3dICIi6phX1u9tecKr9KdMmaII9gAwevRojB07FpcuXcKXX34JAJBlGTk5ObBYLFi8eLFf/cWLF8NisSAnJ6eLXSciIhIjy8H50qKg3pZnMpn8XisqKnDu3DmMGjUKFovFr67FYsGoUaPwzTff4Ntvvw1mN4iIiKiNoK3Sr6mpwaFDhxAfH4/U1FQAQGVlJQAgOTlZ9WeSk5NRWFiIiooKXHPNNap1zDHRMJv9u2m1xfm9XslkEPvo5fUEXjTYltFlF6rf7BWdPmpWlNjtdr/XSOJboOdXFmvxe72S0aI85oHE2GKF6ls9Yu3b3Tah+i53g6LMbrf5vbYlqyxs05a2/8yY2im/zCh2TkYJ/k3E2cX+Juwusf54o/3P0w6Prxwt1H44kSTlIsRwx9vyusntduPpp5+Gy+XCsmXLYDQaAfzzj8FmU/9D95U7HO2vZH//+H9hwDX9VbcVntzWnW5rTnX16d7uQo8asiVPUZYs2MYEwfovCtYPpqrqr3vx3Xue0XCfevnEB4TaGZ0v9r5t7xnoKVVVJ3vpnUPHYNDend1anY4Phm4fLa/Xi+XLl6O4uBhz587FrFmzgtCtf7r9xp+rjvALT25D+rCFqHe0vS1P7J6VOo/yNrhAnK7zQvVFb8trb4RfXX0aiYmDNfmJOpDSe25WlBliLRiyJQ+Vj82E3Oh/PGvODhBqf8/pQUL1Cy6K3XZZ7j4sVN/lrlWU2e02VFV/jaTEayFJyr8XrY/wW26/u5IJRsN9aJZ3QfW2vENrhdr/7KVkofrZx8Ru4/vAdVCo/qXGcr/v7XYbqqpOIilpmPrxlRuF2ifqqm4FfK/XixUrViAvLw933303XnjhBb/tvino9kbwvvL2ZgAAwNXkhqvJrbqt3tEAh9S9gC95xO7bd7rEAm4wAr6PJEkRF/Db3mfvt63Rqdje7FROiQfS5BD7x7ReEmtfcosdX5e7/eMnSQ7V46v1gK8W1P9ZrrKtWeyc9Ar+TTRIYn8TkkusP1Kj+jFu9/gy4PcoTul3gdfrxbPPPot33nkHM2fORFZWFqKi/NcADhkyBEDL4j01vvL2rvETEREFk54z7XVplf6VwX769Ol4+eWXW6/bXyk5ORkJCQkoKSmB0+k/UnM6nSgpKUFSUlK7C/aIiIiCSQ7SlxYJB3zfNP4777yDadOmYe3atarBHgAMBgPmzJkDp9OJTZs2+W3btGkTnE4n5s6d27WeExERUacJT+lv3LgRubm5sFgsSE5Oxu9//3tFncmTJ2P48OEAgMzMTOzbtw9btmxBWVkZbrjhBnzxxRcoLCzEiBEj8OijgfNyq+XG991612hwKq7Zx8pit9DAlChWX5DTJVZf/Zq/8YrXth+u2r/mrwVqufGNljgko2WBXttr9kk/OCPU/l3CPRLNvT9eqP5XUObeN0fbLr/GwxytvMXM5RZbSBhu1/wVufGNVhgnPtCyOE/len3Urc8JtX/zb8Vy7y97Xqg68OmPhaq/1+Z7e2zLv0l9Y4ciyq3c37a59zvCa/7do+cpfeGAX13d8iQGp9OJzZvbrr5tkZiY2BrwLRYL3nrrrdaH53z88ceIj49HRkYGlixZgthYsXtiiYiIuoq35QnIyspCVlaW0M/Y7XasWLECK1asEH07IiIiCgLtZU0gIiLqIt6WR0REpAO8hk9ERKQDOo73wX1aHhEREYUnjvCJiEg3OKVPRESkA3q+LY9T+kRERDrAET4REekGb8sjIiLSAV7DD2OXPNWKMq+nJTd1nadG+Tx7wdz4Wsi9b4yytb4ao/z/WtVz7wcSXrn3/1ahzF0fY4vFBAB7Tg9SPM9eNDe+FnLvWy/nzx8anYb6aOWz3dXy7wcSbrn3jz4/1O/7KEscRucDn72UrPose9Hc+OGeez/O3JI+/DbzRDSYlXnw2+be7whz73ePjuM9r+ETERHpQdiP8ImIiIKFU/pEREQ6wNvyiIiIKKJxhE9ERLrB2/KIiIh0wKvjOX0GfCIi0g39hntewyciItIFjvCJiEg3eFseERGRDsg6ntTnlD4REZEOhP0I3+lS5gU3uuyXt52H0yV17w00kHvfYrZefr0azeY4v21qufcDCbfc+/kXzirKrJ44vAig4OI51Ettc62L5a7XQu79GFtLrvUpVyWgyaTMe66Wfz+QcMu9/8qnKX7fx9lj8SaA7GND0SAp91c0d324596PsrScs0+OKFd9dkDb3PsdYe797uGUPhERkQ7o+T58TukTERHpAEf4RESkGzIT7xAREUU+PU/pM+ATEZFucIRPREREQVNaWors7GwcPXoUHo8HqampWLBgAaZPn97hz8qyjAMHDuD9999HSUkJampq4PF4MGTIEEyfPh0LFy5ETEyMcJ8Y8ImISDd6Ykq/qKgImZmZMJvNmDFjBqxWKwoKCrB06VKcOXMGGRkZAX/e5XLh5z//OcxmM9LS0pCeng6Xy4XCwkL853/+J/bu3Yvt27cjLi4uYDttMeATEZFuhPppeR6PB6tWrYLBYMCOHTswfPhwAMCSJUtw//33Y926dZg6dSoSE9vP0RIVFYV/+7d/w7x589C3b9/WcrfbjSeffBIffPABduzYgczMTKG+8bY8IiKiICkqKsLp06cxc+bM1mAPAHa7HYsWLYLb7UZubm7ANqKjo/GLX/zCL9j7yh9//HEAQHFxsXDfOMInIiLdCHUu/cOHDwMA0tPTFdt8ZV0J1j4mU0vYNhqN4j/b5XclIiLSmFBfw6+oqAAADBkyRLEtPj4eFosFlZWVXW5/165dAICJEycK/2zYB3y13O/NXkPrtrbbRXPLC+uF3Ps2kwUA0Mc0EFEmp1h7bYRb7v2v3Mq873a3DQBQ7j4Mye3//qJ55bWQe994Odf6nYO/QbNarnXBfQi33PvvuQ74fW93tZwTH7gOQnLVK39AMLd82OfeN7bs700rK4Bm5f6K9j/ccu9rjTfEI3yHo+XfLLvdrrrdZrNBkrr2DJj9+/fjz3/+M1JSUjBnzhzhn+c1fCIiojBXWlqKpUuXwm63Y/369TCbzcJthP0In4iIKFhCvUrfZmuZoWxvFO9wOBSL8Tpy7Ngx/OxnP0NUVBS2bt2KYcOGdalvHOETEZFuyEH6rz3JyckAoHqdvra2Fk6nU/X6fnuOHTuGjIwMeL1evP766xg5cqTwPvsw4BMREQXJmDFjAACFhYWKbb4yX52O+IJ9c3Mztm7diptuuqlbfWPAJyIi3fBCDspXe8aPH49BgwYhLy8PZWVlreWSJGHz5s2Ijo7GrFmzWsvPnTuHU6dOKS4BHD9+HBkZGfB4PNiyZQtuvvnmbu87r+ETEZFuhHqVvslkwurVq5GZmYmHHnrIL7VudXU1nnnmGSQlJbXWX7duHXJzc7FmzRrMnj0bAHDx4kVkZGSgrq4Ot956Kw4dOoRDhw75vY/dbseCBQvE+tbtvSMiItKIUCfeAYBx48Zh586d2LBhA/Lz81sfnrNs2bJOPTzH4XDg0qVLAICPPvoIH330kaJOYmIiAz4REVFvGzlyJLZu3dphvaysLGRlZfmVJSUl4csvvwx6nxjwiYhIN0I9pR/OGPCJiEg3vIaeeEBueOIqfSIiIh0QGuGfPXsWe/bswYEDB1BeXo7z58+jb9++GDVqFDIzMxX3CGZnZ+O1115rt719+/b5rVZUp5abvfmKV//tornftZB7P1aOu/xqgUc2dKt9UaHOva+Wl93lbrj8WguX2/9WFdG871rIvW+Ia3lWwsABZyE3KJ+VIPoe4ZZ7v21udm+0/XJ5OaRGZTYy0dzv4Z97v+Wf2agJTwHwdLv9cMu9rzWc0u+k7du3Y8uWLRg8eDAmTpyI/v37o7KyEnv37sXevXvx6quvqq5AvPfee5GYqAxMffr06XrPiYiIBMkhf15e+BIK+CNHjsT27duRlpbmV/7JJ59gwYIF+M1vfoPJkycrkvrfe++9GDt2bPd7S0RE1A16HuELXcOfMmWKItgDwOjRozF27FhcunQpJLcSEBERUfcEbZW+yWTye71ScXExPvvsM0RFRSE5ORnjx4+H1Sr4nHgiIqJu0vMq/aAE/JqaGhw6dAjx8fFITU1VbM/Ozvb7vk+fPli5cqVfPuH2xMTEKC4R2O12v1d/xk73GwCMUTah+haz2AcVm8kiVN+3QO9KVluc3+uVTAax6SmvR6z/Rpfa77h9zV5Dx5WuYICyvt1u83u9kjla7HhZo5W/s0BibLFC9Y0WsfZ9C/T8ymItfq/dfQ/RfbB6xNq3u8WOgcvj9v/5AMcXAOyxYn+jcWax/Y0S/H3CKDo4afvPqqmd8q61L9r/OLvY78fu6nx/JKleqO1w4NXxNXyDLHfv4cButxsLFy5EcXEx/uM//sMviL/33nuoq6tDWloaEhISUFtbiw8//BAbNmxAXV0dNm7ciJ/85CcB26+pqcHAgQO700UiIgqBfpZ/xQXnp73dDSE32h4MSjvHHf8TlHZ6UrcCvtfrxVNPPYW8vDzMnTsXL774Yqd+7v/+7/+wcOFCDBs2DH/7298C1o2NtaqO8KurTyMxcbDiCUOhH+FfLVS/j0nsw0qsrBzlWW1xKDy5DenDFqLe0eC3rdGgvI0rkDpPjVB9p+u8UH3R2/LaG+FXVX+NpMRrIUn+7Zmj44XaHxqtXHMSyJSrEoTq3zn4G6H6AwecVZQZYi0YsiUPlY/NhNyoPJ41ZwcIvcee04OE6hdcVN4aGUi5+7BQfZfngt/3drsNVVUnkZQ0THF8AaBv7FCh9m8zTxSq/+SIcqH6N62sEKrfcvvdlUwwGu5Ds7wLarfleQ+tFWr/s5eShepnHxP7fX7gOtjpupJUr7mAf4NtblDa+cLxl6C005O6PKXv9XqxYsUK5OXl4e6778YLL7zQ6Z8dP348Bg8ejBMnTsDhcMBmaz/oNjU1oampSXWbJElBCPhin3eazWLTaVEmsYCsuM/+CvWOBjik7gV8ySM2Bed0Ke+TDiQYAd9HkhyK42sWnKKvj27ouNIVmkyNQvWbnWLtq91n37qt0am6XfQ9mhxi+1AvibUvuQVzLXjU/4bUji8ARLnF/kYbzGL76xX8faJZdNpaGdT/Wa6yTbB90f43SGK/H8mlvWl6EXq+La9Lmfa8Xi+effZZ5ObmYubMmcjKykJUlFhT/fr1AwA0NAiefERERF3kNXiD8qVFwgHfF+zfeecdTJ8+HS+//DKMRrFRtdPpxMmTJ2GxWFoDPxEREYWOUMD3TeO/8847mDZtGtauXdtusHc4HPj6668V5Y2NjVi1ahXq6+sxbdo01dv4iIiIQsEbpP+0SCjabty4Ebm5ubBYLEhOTsbvf/97RZ3Jkydj+PDhuHjxIu68806MGDECKSkpuPrqq/Hdd9/h0KFDOHPmDFJTU/H0008HbUf+SS33foDaGsi977v1rtHgVFyzV8u9L9p+MInn3r+kKJMvX+eU4Wn9fx+13PuBaCH3vtESh2S0LM5Tu16vln9f9D0CC23u/c/du/y+l+Xoy6+NkGXl9eW2ufc7Eva5941WGCc+0LI4T+V6vTL3vmD7HQh17n2tkQVjRCQRCvjV1dUAWqbkN2/erFonMTERw4cPx1VXXYV58+ahtLQU+/fvR11dHWJiYpCSkoKHH34Y8+fPR2ys2P2hRERE1DVCAT8rKwtZWVmdqmuz2fD886IfLYmIiEJHq9PxwcAL6EREpBt6Dvhdui2PiIiItIUjfCIi0g0u2iMiItIBPU/pM+ATEZFuMLUuERERRTSO8ImISDe8vIZPREQU+TilT0RERBGNI3wN5N73elry5dd5apTPsxfMjR9uufelRmUu/UDa5tbviBZy78fYYjEBwJ7Tg1SfZS+aGz/ccu9/7uy4zpXU8usHEu6596MscRidD3z2UrLqs+xFc+OHXe59jfHKnNInIiKKeHqe0mfAJyIi3dBz4h1ewyciItIBjvCJiEg3vDKn9ImIiCKenq/hc0qfiIhIBzjCJyIi3ZB5Wx4REVHk49PyiIiIdEDW8aI9XsMnIiLSAY7wiYhIN/SceIcBX1jP5943uuyXt52H0yUJtacQZrn3JZwUa1+QFnLvWz1xeBFAwcVzqJeUudZFc9eHW+79tdWCPyAo3HPvx9lj8SaA7GND0SAp+yqauz7ccu9rDaf0iYiIKKJxhE9ERLqh58Q7DPhERKQbvA+fiIhIB3gNn4iIiCIaR/hERKQbvIZPRESkA5zSJyIioojGET4REekGp/SJiIh0gLflERER6QJH+BQy3c+93+w1tG5ru10t935QhTr3fpjpjdz7drcNAFDuPgzJrTz+avn3Awuv3Pvhpqdz79tdLefEB66DkFz1yh9ok3u/I+GWe5+0gwGfiIh0Q8+r9BnwiYhIN/S8aI+35REREekAR/hERKQj+h3hM+ATEZF+6PgaPqf0iYiIdIAjfCIi0g09L9pjwCciIh1hwCciIop8stzbPeg1vIZPRESkAxzhExGRbsjQ7wjfIMs6nt8gIiLSCU7pExER6QADPhERkQ4w4BMREekAAz4REZEOMOATERHpAAM+ERGRDmjqPvzS0lJkZ2fj6NGj8Hg8SE1NxYIFCzB9+vTe7lrQ3X777aiurlbdlpaWhu3bt/dwj4Jj9+7dOHLkCI4fP44TJ07A7XZjzZo1mD17tmp9h8OB7OxsFBQUoLa2FgkJCZg6dSqeeOIJWK3WHu69OJH9zc7OxmuvvdZuW/v27UNSUlIou9stZ8+exZ49e3DgwAGUl5fj/Pnz6Nu3L0aNGoXMzEzcdNNNip/R8vEV3V+tH1/SPs0E/KKiImRmZsJsNmPGjBmwWq0oKCjA0qVLcebMGWRkZPR2F4PObrfj0UcfVZQnJib2Qm+CY/369aiurka/fv2QkJDQ7ocaAHA6nZg/fz7KysqQnp6OGTNmoKysDG+88QaKi4uxY8cOxMTE9GDvxYnsr8+9996reoz79OkTii4Gzfbt27FlyxYMHjwYEydORP/+/VFZWYm9e/di7969ePXVV/0+nGv9+Irur49Wjy9FAFkD3G63PHnyZPnGG2+Uv/jii9byuro6ecqUKfKPfvQjuaqqqhd7GHy33XabfNttt/V2N4Lu4MGDrcfqD3/4g5yamirv2rVLte769evl1NRUee3atX7la9eulVNTU+XNmzeHvL/dJbK/GzZskFNTU+WioqKe7GLQ/P3vf5c//vhjRXlxcbH8ox/9SB4zZozc1NTUWq714yu6v1o/vqR9mriGX1RUhNOnT2PmzJkYPnx4a7ndbseiRYvgdruRm5vbiz2kzpowYUKnZihkWUZOTg4sFgsWL17st23x4sWwWCzIyckJVTeDprP7GwmmTJmCtLQ0Rfno0aMxduxYXLp0CV9++SWAyDi+IvtLFA40MaV/+PBhAEB6erpim6+suLi4R/vUE1wuF95++22cO3cONpsNI0aMUL0OGokqKipw7tw5pKenw2Kx+G2zWCwYNWoUCgsL8e233+Kaa67ppV6GRnFxMT777DNERUUhOTkZ48ePD/vr2R0xmUx+r5F+fNvu75Ui8fiSNmgi4FdUVAAAhgwZotgWHx8Pi8WCysrKHu5V6NXW1uLZZ5/1KxsxYgTWrVuHwYMH91KveobveCYnJ6tuT05ORmFhISoqKjQZEALJzs72+75Pnz5YuXIlZs2a1Tsd6qaamhocOnQI8fHxSE1NBRDZx1dtf68UaceXtEMTAd/hcABomcJXY7PZIElST3Yp5GbPno1bbrkFqampsFgsqKiowLZt27B7924sWLAAf/3rX2Gz2Xq7myHjO57t7aOv3Pe3EQmuv/56/Pu//zvS0tKQkJCA2tpafPjhh9iwYQOWL18Ou92On/zkJ73dTSFutxtPP/00XC4Xli1bBqPRCCByj297+wtE5vElbdFEwNejJ554wu/74cOH4+WXXwbQcqtXTk4OFi5c2BtdoxC54447/L5PSkrC/PnzkZKSgoULF+J3v/udpgKC1+vF8uXLUVxcjLlz50b8CLaj/Y2040vao4lFe75P++2N4h0OR7uj/0jzwAMPAABKSkp6uSeh5Tue7Y3wfOWRPMvhM378eAwePBgnTpzQzIjX6/VixYoVyMvLw913340XXnjBb3ukHd+O9jcQLR5f0iZNBHzfdT616/S1tbVwOp2q1/cjUb9+/QC03MMcyXzH07d+oy1feXvXgCON77g3NDT0ck865vV68eyzzyI3NxczZ85EVlYWoqL8/6mJpOPbmf3tiJaOL2mXJgL+mDFjAACFhYWKbb4yX51IV1paCkDbyXc6Izk5GQkJCSgpKVF8uHE6nSgpKUFSUpLmFnR1hdPpxMmTJ2GxWFoDQ7jyBb933nkH06dPx8svv+x3HdsnUo5vZ/c3EC0dX9I2TQT88ePHY9CgQcjLy0NZWVlruSRJ2Lx5M6KjoyPq+uCpU6dUP+mfOnUKr7zyCgDgrrvu6ulu9SiDwYA5c+bA6XRi06ZNfts2bdoEp9OJuXPn9lLvgs/hcODrr79WlDc2NmLVqlWor6/HtGnTVG/zChe+ae133nkH06ZNw9q1a9sNfpFwfEX2NxKOL2mfQZZlubc70Rntpdatrq7GM888E1GpdbOzs7Ft2zaMGTMGAwcORFxcHCoqKnDgwAG43W48/vjj+NWvftXb3eySnJwcHDlyBABw4sQJfP755xg1alTrFO8tt9yCOXPmAGgZ+fz0pz/FP/7xD6Snp+OGG27AF198gcLCQowYMQJvvfUWYmNje21fOqOz+1tVVYXJkydjxIgRSElJwdVXX43vvvsOhw4dwpkzZ5Camoo//elPYT0C9OWKt1gseOSRR1SD1+TJk1uTZ2n9+IrsbyQcX9I+zXycHDduHHbu3IkNGzYgPz+/9eE5y5Yti7iH54wdOxanTp1CWVkZPvnkEzQ2NqJfv3748Y9/jHnz5qkmINKKI0eOKLIilpSU+C1C9AV8i8WCt956q/XhKh9//DHi4+ORkZGBJUuWhHUw8Ons/l511VWYN28eSktLsX//ftTV1SEmJgYpKSl4+OGHMX/+/LDfX99zApxOJzZv3qxaJzExsTXga/34iuxvJBxf0j7NjPCJiIio6zRxDZ+IiIi6hwGfiIhIBxjwiYiIdIABn4iISAcY8ImIiHSAAZ+IiEgHGPCJiIh0gAGfiIhIBxjwiYiIdIABn4iISAcY8ImIiHSAAZ+IiEgH/j8affVb5gJ5nAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ls1 = 0.2\n", "ls2 = 1.0\n", "cov1 = pm.gp.cov.ExpQuad(2, ls1, active_dims=[0])\n", "cov2 = pm.gp.cov.ExpQuad(2, ls2, active_dims=[1])\n", "cov = cov1 * cov2\n", "\n", "m = plt.imshow(cov(X2).eval(), cmap=\"inferno\", interpolation=\"none\")\n", "plt.colorbar(m);" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-01-25T18:43:14.006448", "start_time": "2017-01-25T18:43:14.003695" }, "papermill": { "duration": 0.046821, "end_time": "2020-12-22T18:36:50.579012", "exception": false, "start_time": "2020-12-22T18:36:50.532191", "status": "completed" }, "tags": [] }, "source": [ "### White Noise\n", "\n", "$$\n", "k(x, x') = \\sigma^2 \\mathrm{I}_{xx}\n", "$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:49.555483Z", "start_time": "2017-09-18T00:02:49.186642Z" }, "papermill": { "duration": 0.99526, "end_time": "2020-12-22T18:36:51.620630", "exception": false, "start_time": "2020-12-22T18:36:50.625370", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma = 2.0\n", "cov = pm.gp.cov.WhiteNoise(sigma)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=len(K)), draws=3, random_seed=rng).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.05125, "end_time": "2020-12-22T18:36:51.723154", "exception": false, "start_time": "2020-12-22T18:36:51.671904", "status": "completed" }, "tags": [] }, "source": [ "### Constant\n", "\n", "$$\n", "k(x, x') = c\n", "$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:49.970346Z", "start_time": "2017-09-18T00:02:49.557189Z" }, "papermill": { "duration": 1.931356, "end_time": "2020-12-22T18:36:53.705539", "exception": false, "start_time": "2020-12-22T18:36:51.774183", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 2.0\n", "cov = pm.gp.cov.Constant(c)\n", "# Add white noise to stabilise\n", "cov += pm.gp.cov.WhiteNoise(1e-6)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=len(K)), draws=3, random_seed=rng).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.051694, "end_time": "2020-12-22T18:36:53.810105", "exception": false, "start_time": "2020-12-22T18:36:53.758411", "status": "completed" }, "tags": [] }, "source": [ "### Rational Quadratic\n", "\n", "$$\n", "k(x, x') = \\left(1 + \\frac{(x - x')^2}{2\\alpha\\ell^2} \\right)^{-\\alpha}\n", "$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:50.383983Z", "start_time": "2017-09-18T00:02:49.985945Z" }, "papermill": { "duration": 2.381363, "end_time": "2020-12-22T18:36:56.245016", "exception": false, "start_time": "2020-12-22T18:36:53.863653", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha = 0.1\n", "ls = 0.2\n", "tau = 2.0\n", "cov = tau * pm.gp.cov.RatQuad(1, ls, alpha)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=len(K)), draws=3, random_seed=rng).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.055808, "end_time": "2020-12-22T18:36:56.357806", "exception": false, "start_time": "2020-12-22T18:36:56.301998", "status": "completed" }, "tags": [] }, "source": [ "### Exponential\n", "\n", "$$\n", "k(x, x') = \\mathrm{exp}\\left[ -\\frac{||x - x'||}{2\\ell^2} \\right]\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:50.770815Z", "start_time": "2017-09-18T00:02:50.385789Z" }, "papermill": { "duration": 1.343198, "end_time": "2020-12-22T18:36:57.756310", "exception": false, "start_time": "2020-12-22T18:36:56.413112", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "inverse_lengthscale = 5\n", "cov = pm.gp.cov.Exponential(1, ls_inv=inverse_lengthscale)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=len(K)), draws=3, random_seed=rng).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.058891, "end_time": "2020-12-22T18:36:57.874371", "exception": false, "start_time": "2020-12-22T18:36:57.815480", "status": "completed" }, "tags": [] }, "source": [ "### Matern 5/2\n", "\n", "$$\n", "k(x, x') = \\left(1 + \\frac{\\sqrt{5(x - x')^2}}{\\ell} +\n", " \\frac{5(x-x')^2}{3\\ell^2}\\right)\n", " \\mathrm{exp}\\left[ - \\frac{\\sqrt{5(x - x')^2}}{\\ell} \\right]\n", "$$" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:51.178581Z", "start_time": "2017-09-18T00:02:50.772671Z" }, "papermill": { "duration": 2.417182, "end_time": "2020-12-22T18:37:00.350538", "exception": false, "start_time": "2020-12-22T18:36:57.933356", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ls = 0.2\n", "tau = 2.0\n", "cov = tau * pm.gp.cov.Matern52(1, ls)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=len(K)), draws=3, random_seed=rng).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.061663, "end_time": "2020-12-22T18:37:00.473343", "exception": false, "start_time": "2020-12-22T18:37:00.411680", "status": "completed" }, "tags": [] }, "source": [ "### Matern 3/2\n", "\n", "$$\n", "k(x, x') = \\left(1 + \\frac{\\sqrt{3(x - x')^2}}{\\ell}\\right)\n", " \\mathrm{exp}\\left[ - \\frac{\\sqrt{3(x - x')^2}}{\\ell} \\right]\n", "$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:51.585335Z", "start_time": "2017-09-18T00:02:51.180672Z" }, "papermill": { "duration": 0.494084, "end_time": "2020-12-22T18:37:01.028428", "exception": false, "start_time": "2020-12-22T18:37:00.534344", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ls = 0.2\n", "tau = 2.0\n", "cov = tau * pm.gp.cov.Matern32(1, ls)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=len(K)), draws=3, random_seed=rng).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.064186, "end_time": "2020-12-22T18:37:01.159126", "exception": false, "start_time": "2020-12-22T18:37:01.094940", "status": "completed" }, "tags": [] }, "source": [ "### Matern 1/2\n", "\n", "$$k(x, x') = \\mathrm{exp}\\left[ -\\frac{(x - x')^2}{\\ell} \\right]$$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "papermill": { "duration": 0.477568, "end_time": "2020-12-22T18:37:01.701402", "exception": false, "start_time": "2020-12-22T18:37:01.223834", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ls = 0.2\n", "tau = 2.0\n", "cov = tau * pm.gp.cov.Matern12(1, ls)\n", "\n", "X = np.linspace(0, 2, 200)[:, None]\n", "K = cov(X).eval()\n", "\n", "plt.plot(\n", " X,\n", " pm.draw(pm.MvNormal.dist(mu=np.zeros(len(K)), cov=K, shape=len(K)), draws=3, random_seed=rng).T,\n", ")\n", "plt.title(\"Samples from the GP prior\")\n", "plt.ylabel(\"y\")\n", "plt.xlabel(\"X\");" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.068504, "end_time": "2020-12-22T18:37:01.837835", "exception": false, "start_time": "2020-12-22T18:37:01.769331", "status": "completed" }, "tags": [] }, "source": [ "### Cosine\n", "\n", "$$\n", "k(x, x') = \\mathrm{cos}\\left( 2 \\pi \\frac{||x - x'||}{ \\ell^2} \\right)\n", "$$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2017-09-18T00:02:52.283608Z", "start_time": "2017-09-18T00:02:51.83472Z" }, "papermill": { "duration": 1.457975, "end_time": "2020-12-22T18:37:03.365039", "exception": false, "start_time": "2020-12-22T18:37:01.907064", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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