From dc1e26e82a8c6659d7d527161fb387ddb5d3847a Mon Sep 17 00:00:00 2001 From: Thomas Viehmann Date: Sat, 4 Nov 2017 20:04:19 +0100 Subject: [PATCH] add more kernels --- candlegp/kernels.py | 59 +++++++++ notebooks/gp_regression.ipynb | 230 ++++++++++++++++++++++------------ 2 files changed, 210 insertions(+), 79 deletions(-) diff --git a/candlegp/kernels.py b/candlegp/kernels.py index 9fde2c0..a594457 100644 --- a/candlegp/kernels.py +++ b/candlegp/kernels.py @@ -307,3 +307,62 @@ def K(self, X, X2=None, presliced=False): res = self.variance.get() * torch.exp(-0.5 * self.square_dist(X, X2)) return res +class Exponential(Stationary): + """ + The Exponential kernel + """ + + def K(self, X, X2=None, presliced=False): + if not presliced: + X, X2 = self._slice(X, X2) + r = self.euclid_dist(X, X2) + return self.variance.get() * torch.exp(-0.5 * r) + + +class Matern12(Stationary): + """ + The Matern 1/2 kernel + """ + + def K(self, X, X2=None, presliced=False): + if not presliced: + X, X2 = self._slice(X, X2) + r = self.euclid_dist(X, X2) + return self.variance.get() * torch.exp(-r) + + +class Matern32(Stationary): + """ + The Matern 3/2 kernel + """ + + def K(self, X, X2=None, presliced=False): + if not presliced: + X, X2 = self._slice(X, X2) + r = self.euclid_dist(X, X2) + return self.variance.get() * (1. + (3.**0.5) * r) * torch.exp(-(3.**0.5) * r) + + +class Matern52(Stationary): + """ + The Matern 5/2 kernel + """ + + def K(self, X, X2=None, presliced=False): + if not presliced: + X, X2 = self._slice(X, X2) + r = self.euclid_dist(X, X2) + return self.variance.get() * (1.0 + (5.**0.5) * r + 5. / 3. * r**2) * torch.exp(-(5.**0.5) * r) + + +class Cosine(Stationary): + """ + The Cosine kernel + """ + + def K(self, X, X2=None, presliced=False): + if not presliced: + X, X2 = self._slice(X, X2) + r = self.euclid_dist(X, X2) + return self.variance.get() * torch.cos(r) + diff --git a/notebooks/gp_regression.ipynb b/notebooks/gp_regression.ipynb index 89b4728..fb83e8f 100644 --- a/notebooks/gp_regression.ipynb +++ b/notebooks/gp_regression.ipynb @@ -8,12 +8,13 @@ "source": [ "# Gaussian Process Regression in Pytorch\n", "\n", - "*Thomas Viehmann*, \n" + "*Thomas Viehmann*, \n", + "Modelled after GPFlow Regression notebook by James Hensman\n" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 1, "metadata": { "cell_id": "C56FA1DC11504021833EAF55BEF3E07D" }, @@ -33,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 2, "metadata": { "cell_id": "0503F0A2DAD644419AC97031797D4301" }, @@ -54,7 +55,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 3, "metadata": { "cell_id": "7D9AA2647C2C4AD6A42AA374EFF07F28" }, @@ -62,18 +63,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 15, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncAcAAxHuAGAgwh0ADPR/YbRnK7hFHeoAAAAASUVORK5CYII=\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -101,7 +102,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 4, "metadata": { "cell_id": "65D558A994034F1880BE4EA866570627" }, @@ -109,26 +110,26 @@ { "data": { "text/html": [ - "Model GPR
  • mean_function: Linear
  • kern: RBF
  • likelihood: Gaussian
ParameterValuePriorParamType
mean_function.A[[ 1.]]NoneParam
mean_function.b[ 0.]NoneParam
kern.variance[ 1.]NonePositiveParam
kern.lengthscales[ 0.3]NonePositiveParam
likelihood.variance[ 0.01]NonePositiveParam
" + "Model GPR
  • mean_function: Linear
  • kern: Matern52
  • likelihood: Gaussian
ParameterValuePriorParamType
mean_function.A[[ 1.]]NoneParam
mean_function.b[ 0.]NoneParam
kern.variance[ 1.]NonePositiveParam
kern.lengthscales[ 0.3]NonePositiveParam
likelihood.variance[ 0.01]NonePositiveParam
" ], "text/plain": [ "GPR (\n", " (mean_function): Linear (\n", " )\n", - " (kern): RBF (\n", + " (kern): Matern52 (\n", " )\n", " (likelihood): Gaussian (\n", " )\n", ")" ] }, - "execution_count": 16, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "k = candlegp.kernels.RBF(1, lengthscales=torch.DoubleTensor([0.3]),variance=torch.DoubleTensor([1.0]))\n", + "k = candlegp.kernels.Matern52(1, lengthscales=torch.DoubleTensor([0.3]),variance=torch.DoubleTensor([1.0]))\n", "mean = candlegp.mean_functions.Linear(torch.DoubleTensor([1]), torch.DoubleTensor([0]))\n", "m = candlegp.models.GPR(Variable(X), Variable(Y.unsqueeze(1)), kern=k, mean_function=mean)\n", "m.likelihood.variance.set(0.01)\n", @@ -137,7 +138,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 5, "metadata": { "cell_id": "F4419330180D453E8DD2183657756C8E" }, @@ -145,18 +146,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 17, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl80/X9B/DXN2dztk3SJk2blhZa5BIGTMRNRQTntOqY\nYxN0Dq/fmKIIigMRxTkEDwRRFOcBqOAQGaLodJQOUZnzAOQQKUfpmbTN1SNNmuv7+6NLoeRo2qY5\n38/Hgz/SfL/ffD58k3c++RzvD8OyLAtCCCFJgxPrAhBCCIksCuyEEJJkKLATQkiSocBOCCFJhgI7\nIYQkGQrshBCSZCiwE0JIkqHATgghSYYCOyGEJBkK7IQQkmR4sXrh+vr6Pp2nUqlgNBojXJr4RnVO\nDVTn1NCfOmu12rCOoxY7IYQkGQrshBCSZCiwE0JIkqHATgghSYYCOyGEJBkK7IQQkmQosBNCSJKh\nwE4IIUkmZguU4gHLsujo6IDD4YDL5YLb7YbH4wHLsmAYBgzDgMvlQiAQgM/nIy0tDXw+P9bFJoSQ\nkCIW2L1eLxYuXAiFQoGFCxdG6rIR53K50NbWhra2NjgcDvR2L28ejwexWAypVAqJRAKGYQaopOHb\nsGEDSktLoVKpAABGoxE7d+7ErFmzYlswQkhMRCywf/zxx8jNzYXdbo/UJSPG6/Wira0NVqsVDoej\nX9dyu91oaWlBS0sLuFwuZDIZMjIyIBAIIlTa3tmwYQMWL16MjRs3YuvWrQCA6dOno6KiAgAouBOS\ngiLSx24ymbB//35ceeWVkbhcxHg8HphMJlRWVsJgMPQ7qAe6vtVqxZkzZ6DX69HR0RHR64ejtLQU\nJSUlqKiowOTJkzF58mRUVFSgpKQEpaWlUS8PIST2GLa3fREBrFy5EtOmTYPdbseHH34YsCumrKwM\nZWVlAIAVK1bA6XT26bV4PB7cbnfIY7xeLwwGA2pra3s8NtKysrJQUFAQ0RZ8T3VubGzE2LFj0dTU\n1FWG/fv3Izs7O2JliLZw7nOyoTqnhv7UOdy40u+umO+++w7p6ekoKirC0aNHgx43ZcoUTJkypetx\nX7Ob9ZQZra2tDY2NjTF7szQ1NcFoNEKpVCIzMzMiffA91dlsNsPr9XY99nq9MJvN4HASd9ITZf1L\nDVTn3gk3u2O/A/vx48fx7bff4sCBA3A6nbDb7VizZg3uu+++/l66V1wuFxobG2Gz2aL6uoGwLAuj\n0YjW1lZoNBoIhcIBey2j0Yjp06fDZDJBqVQC6Owamz59OrZu3do1oEoISR39DuwzZ87EzJkzAQBH\njx7Fhx9+GNWgzrIsWlpa0NjY2OsZLgOto6MD1dXVUKlUyMjIGJAZNDt37uzqUz9/8JRmxhCSmhJ6\nHrvH40FDQwPa2tp6fS7LAk1NQlRUSHHqlBQmkxAtLTy0tPDB5bIQiTwQiz3IznagsNCGQYNsyM+3\ng8vt3ZcHy7JoamqCzWZDTk4OuFxur8saii9wnzvdcevWrRTUCUlhERk87Yv+7qBkt9uh1+t71Zfu\ndDI4cCATn3+uwn/+o4TZ3NlFwuGwkMtdkMtdkMnc8HoZ2O1ctLdzYTQK4fV2trSlUhfGj7dgwgQz\nJk40IT3d1auy8/l8aLXaXnfNUD9kaqA6p4aE6GOPNpZlYbFYumaAhMNgSMM//pGLjz/Ogc3Gg1js\nxsUXmzBqVDNKStpQVNSGtDRvwHOdTg6qq8WorJTgwIEMfP21Anv2ZIPH8+Kyy5pw3XV6jB5tRTi9\nLC6XC9XV1dBoNJDJZGGXnxBCeiMhAvu5KytPnz6NiooK7NmzB9OmTQt53muvfYTTp2fhv/8dDgCY\nOPEHKBSbMGfO1RAIAgfy8wkEXgwZ0oYhQ9owdWoDWBY4eVKKTz/V4NNP1SgvV6OwsA2zZp3BpZca\newzwLMtCr9fD5XJFbNYMIYScK+4D+/krK+vq6jBv3jxUVVUBQMDgbrHw8dhje3D48LNgmI9xww1v\n4Zpr9Fi27B58+WUVCgttPX4pBMMwQHFxG4qLT+Kuu07j3//OwubNBXjssZEoLm7FHXdUYsIEc4/X\nMRqNcLlcyM7OpuBOCImouO9j903nq6iogFKphNfrhcViQUFBAVatWoXMzMyuY1kW+PBDLV55pQh2\nuwlS6WVoba1ARkYGAMBqtQY8r788HgZlZdl4881BqK8X4dJLmzBnzklkZ/e8ElUqlSInJydkcKd+\nyNRAdU4N0ehjj/vADnQG98mTJ8NkMgEAMjIy8MYbb3QLzo2NQjzzzFB8+60C48aZcd99JyGT1eH2\n22+H1WoNel4kuVwM3nsvDxs3DgLDALfdVonf/KYWPa0TEovF0Gq1QRcU0Zs/NUSqzi6XC+3t7X5Z\nS304HA74fD4EAgGEQiEkEgl4vNj8eKf73DtJO3gayGefZeGZZ4bC42Ewb95xXHedHgwDWCzRLQef\nz2LGjBpccUUTnn++GC+/PARffaXEokU/IisreOu9vb0ddXV1yM3NTejVoiR2Ojo60NLSgra2Nrhc\noWdreTyeruDvIxQKIZVKkZ6eHrMgTyIn7qPI+SsrMzMzYbVaMW/ePBiNVqxbV4SlS0dg0CAbXn/9\nG1x/vS+oWzBv3jxYrVZkZGQgIyOj6zzLAEd8jcaBJ588jAULfsSxY3Lcccd47N0begWo3W5HbW1t\nt9QAhITiW5xXVVWFqqoqWCyWHoN6MB0dHd0S5sUioR2JnLgP7OeurCwvL8emTZtQUFCAqqoqzJt3\nAlu25OOGG+qwatVBaLVnszfu2bMHVVVVKCgowBtvvIE33nij67w9e/Z0ew3fT1OhUAiRSAShUAge\nj9evQU2GAa65xoBXX/0WWq0djz02Eq+8UoRzfhH7cTgcqKuro+BOQmJZFs3NzThz5kzEg/C5XxYN\nDQ0pl6ArWSREH/u50x1ramqwf78JDz98HDbbXMyfX4GrrzYEPG/79u2YNGlSV5+6xWLBnj17cNNN\nN0EikSAtLS1kEGdZFm63Gw6HAx0dHbDZbH36ELlcDNauHYIdO3IxfrwZS5b8ALk8+Afm/D536odM\nDeHUub29HY2NjX3OjtpbHA4HSqVywFJi0H3unaQaPD1XWZkJ998/FG43g2XLDmPUqJawzuPxeMjI\nyIBMJgu4vV24uxD5dmBqaWnpdZD/6KMcrF5djOzsDixffgj5+cE3JZFIJNBqtWAYht78KSJUnd1u\nN5qamtDa2hrlUnUSi8XQaDQR73+n+9w74Qb2uO+KOdfnnwvwpz8NB5/vxZo1B8IK6gKBABqNBoWF\nhVAoFEGD+uLFizF9+nQYjcaufv3Fixdjw4YN3Y7l8/nIzMxEfn4+8vLyIJVKwy7/tdfqsXr1QbS3\nc3HvvWNx9Kg86LE2mw0GgyHuEpuR6GttbcWZM2diFtSBzl8KVVVVcZE9lfQsoQL7Z5+lISenAy++\neACDBrWHPJbD4SA7OxsFBQWQy+Uhf0b2ZRcihmG6ukwKCgogkUjCqsOIES148cUDkMlcmD9/NL74\nQhn02NbWVjQ1NVFwT0IbNmzo1mozGo14+eWXux3j8XhgMBig1+vjYtzF4/Ggrq6ua/owiV8J1RXj\n9QIVFfXgcEJnc0xPT4dKpepVJsXz58orlUqUl5f3Kp+53W5HY2NjWF00VisfixaNQkWFDAsWHA86\nTgAAOp0OIpEo7HIkg2T+ie77hRgo1fKyZcswa9YsdHR0oL6+PuQsl2BjSL5V1U4nA7NZiKYmAex2\nHgQCLwQCL6RSF7RaB3i8vn/0MzMzoVKp+t3vnsz3ORiax34eDgeQSDwItl82h8OBRqPpVfdIJIlE\nIuTn58NqtcJoNIZsaWdkuPDccwfx6KMj8dRTF8Dh4OBXvwr8ZVdTUwO1Wo309PSBKjqJotLSUmzc\nuLHrFyLQuTnKsGHDUFpaipaWFjQ0NIR8/2zfvh1r1qzBjh07sGrVKgDAvfc+gLq6SvzrXxq0tNyP\n+vrgjQEezwudrh1DhrTh4otNmDDBDIkkxJSt8/imVva0aprERkK12IHOIGcPENlFIhE0Gk3APvSe\nnJ+2AOj8oPlaVH3ZhcjlcsFgMAQs67mcTg4ef3w49u1TYfbsU/jd72qCHqvVamP2pRVtyd6SC/QL\n8cCBAzCbzWGts/Ct06iqqoJIpIDTyYHHYwQwHHL5pxg9WojBg9ugUnUgK8sJsdgNl4sDp5MDq5WP\nqioJKislOHZMhuZmAXg8L8aNs+BXv6rDRReZe1wt7RNOSoxQkv0+B0It9jDJ5XKo1eo+v7kGYhci\nPp+PvLw8mM3mrg9vIAKBF48/fhTLlg3DunWD4fUCM2YEDu56vR46nQ5paWm9Lg+JfydPngz7PWy3\n5+CCC3agqmoq7PbOFNZpaQo8++yzGD78ZFhppAHA4wF++CEdX36pxO7daixadCEKCmyYPr0GV1/d\n0OPGMm1tbdDr9dRyjzMJ32JXKBRQKpX9flOFO92xL8LZFMTjAZ58chjKy9W4++6TmD69NuBxXC4X\n+fn5ffplkkiSuSUX7BdiOAnqGhuFeO21QuzerQaH0wAOZySczuA5lHrD5WKwZ0823n03DydPylBU\n1Ib77juB0aObezxXJpNBo9H0+nOYzPc5mGi02LlLly5d2qdX6Ke+Tt1qaWnpCpBqtRoKhSIiLYUx\nY8ZALBZ3PRaLxRgzZky/rwt0tt5lMhkcDkfQ4M7hAD//uQlVVWK8954O6ekuDBvm/3/Esiza29sh\nk8mSOq+MWCzulsskmbz77rvYunUrSkpKsH37dlx55ZXYt28fqqqqoFarMWzYML9zHA4ONm3KxxNP\nDMeZMxJcc833aG29ChaLHhkZGUhLS4PVasVXX32Fyy+/vE+D7VwuMHiwDdddp0dRURv27VNh2zYd\namtFuPDC5qCb0QCA0+mE1+sNe3aYTzLf52D6U+dwN+hJ2MCeaIOJHA4HcrkcHo8n6KyZzuBuxOnT\nUrz3ng5ZWQ6UlPjPAPJdQyaTJe3P32T+wI8ZMwZKpRIPPvggHA4H+Hw+Lr/8cqjV6oD7BHz3XQYe\nemg0vvwyC5deasRf/3oEbW1vY9euT1FQUICXX34ZN9xwA7766quQXw7hYhigoKAdpaX14HJZfPSR\nFv/6lwYlJW3QaBxBz3M4HOBwOL36Uknm+xxMNAJ7QnbFyOXyhArq52JZFlarNeTWfi4Xg8WLR+G7\n7zLx6KNHcfnlgX+29XdsIZ4l+0/09vZ21NfXh5yfbrdzsW5dET74IBc6XTvmzz+OMWPOdov0NN0x\nUk6elOIvfxmOujoRfv/7Kvz+92cQaiZxTk5O2AEo2e9zIJRSIAAej5cUiYlaW1tDriy12zlYsGA0\nKipkePLJwxg/PvBMCZVKBYVCMZBFjYlk/sDbbDbU19eHnM54/LgUf/nLCOj1afjNb2pxxx2VEApj\nt0jJbudi9epi/OtfGlxyiRGPPPIDRKLA5WEYJuxB/mS+z8FQSoEAfLshJTqZTBYy/7pI5MXy5Yeh\n07VjyZKR+OGHwC0go9GItrbQC7ZI/GhrawsZ1FkW2LFDi3vvHQu3m8Hq1Qdx992nYhrUAUAk8mDR\noh9x330V+OorJebPHwOzOfAAvm9fX0+oVKZkQCVcYE8mYrEYOp0u6ApZmcyNZ545BIXCiUWLLkRN\nTeC+S71eT/mzE0Bra2vIoO5wcLBs2TCsXl2CsWMt+NvfvsWFF/Y8IyUUhmHA5XLB5/PB5XL73W03\nbVo9/vKXI6islGDOnLGorQ38nnS5XNDr9ZQOI0YSrismGX+6dXR0oLa2NmgLp7ZWhDlzfgKRyIO1\naw9AofBP2crj8ZCfn580u98k2332tdSDaWoS4JFHRuHECSluv70SM2dWh71IyIfH40EsFiMtLQ1p\naWkQCARgGMYvmPsG3zs6OmC322Gz2XodgI8dk2HRolHg81msXn0QubmBF+IpFIqQC/yS7T6Hg7pi\nUoRQKIROpwsalPPy7Fi+/DCsVgEWLhyF9nb/Fr7b7e5xMI7ERk9B/fhxKe6+exxqakRYtuwIbrkl\n/KDO5XKRmZkJnU6HwsJCaDSarumPHA4nYAudy+VCLBYjMzMTWq0WgwcP7vWq5mHDWvHcc9/D6eRg\n3rzRqK8P3J9uNpspI2QMUGCPEwKBIGRwHzasFUuXHsWpU1IsXToCbrf/B9bhcPSYY4REV09Bfd8+\nJebO/Qm4XBYvvHAAEycGX6V8LqFQCI1Gg6KiImRlZUEkEvW5m4XD4UAqlUKr1WLQoEFIT08P61pF\nRTasXHkQHR1czJ8/BgZD4OBuMBiSYsJDIqHAHkd8aQiC9blPmGDG/PnH8c03CqxeXYxA8bu1tXXA\n93Ql4bHZbNDr9UGf//hjDZYsGYlBg2x46aXvMHhwzy1bgUAArVaL/Pz8HtNR94VAIIBarcagQYPC\nasEPGWLDs89+D5uNi4ceuhAtLf4NE4/HQw2OKKPAHmd8Lfdgwf3aaw245ZYqfPSRFps35wc8xmg0\nxnRTBnJ2nnqgYMaywKZN+XjmmQswdqwFq1Z9D4Ui9CbUXC4XarUaBQUFkEqlA752gc/nQ6vVIjc3\nt8f0FcXFbVi27AgMhjQsWTISTqd/WLHZbJTHPYr6vfLU6XTikUcewaeffopPPvkEzc3NGDFiRI/n\n9TXwpMJKNS6XC4lEgtbW1oCB4Sc/saK2VoRt23TQ6dpRVOTf0rPZbJBIJAk7mJrI99lut4cM6q+8\nUoS33hqEKVMa8OijP/Q4lVEulyM3N7df3S19JRAIkJ6eDpfLFXKfVbW6A7m5dmzdqkN9fRouvdTo\nl4jMbrdDKpV2e08m8n3uq4RIKcDhcPDzn/8c11xzDa688kq888470Ol0XcmNgqHAHppvhkOg4M4w\nwMUXm3D4cAbefz8XY8ZYoFb7T3e02WwJm1MmUe+zb4ZToEFsrxd4/vli/OMfOkybVosHHqhAqO9d\nHo+HnJwcKBSKmN5DhmEglUrB5/ND3pPCQhuEQg/ee08Hr5fB2LH+LXSHw9GtDz9R73N/RCOw9/vd\nwjBM1wozj8cDj8eTlEvcYyEtLa1rQ+vzCQQsHn/8CNRqB5YsGYm6Ov+BK5opE11OpzNoUPd4gGee\nGYoPPsjFjBnVuPfekyFnvkgkkl5tuTjQGIZBenp6j1Nqb7qpBtdco8fbbxcE3Paxo6ODxoCiICLN\nAK/XiwULFuDOO+/EqFGjUFxcHInLEnR+uw8dOjTgc+npbixffhgsy2DRogvR2ur/gaOZMtHhcrmC\nrkXweIDly4fhk09ycNttlbjrrtNB86UzDIOsrCxotdpebe0YLb6puQKBIODzDAPMnXsCQ4e2YMWK\nYQEX1ZlMJlpQN8AiukDJZrPh2WefxW233Yb8/O4De2VlZSgrKwMArFixImR/XSjJkiumN3g8Hurq\n6nDq1KmAzx86lI4HHxyNESOa8fTTh8Dn+99SnU4HnU430EWNmES6z06nE0eOHIHD4Z/50BfUd+9W\n4667TmPmzOqg1xEIBBg6dGjYP7djye124/jx42huDrwytqFBiD/+cRwyMlx4+eX9EIm6f+FJJBJc\neOGF4PP5CXOfI6U/7+1gX6jni/jK061bt0IoFOL6668PeRytPA2fr85mszlo3XftUuPJJ4fhl7/U\nY8GC4wFbhBqNBnK5fIBLGxkDeZ8juamKx+NBTU1NwIZKb4J6WloaRo4ciZaWll6XIVa8Xi/q6+uD\n9hf70g1fcUUjFi8+5veeVKlUKCkpSdnPc19EbeVpS0tL18oyp9OJw4cPIzc3t7+XJQFkZmYGTYI2\ndWoDbr31DP75zxz8/e+BW+YNDQ097sGa7DZs2IDFixdj+vTpMBqNXbsZLV68GBs2bOjVtbxeL+rq\n6oIG9aeeuiCsoC6TyZCXlxd2ayxecDgcaLXabhvUnGvcOCtmzTqD3bvV2LVL7fe8yWQK+CuH9F+/\n58JZLBasXbsWXq8XLMti4sSJGDduXCTKRs7j6391u90BMzrOmnUGtbUi/O1vg6HV2v3yuLMsi/r6\n+pB9pMmutLQUGzduREVFBSZPngzg7MblpaWlYV/HF9QDBSavF1i5cih27dLgjjtCB/VIbe0YK77g\nXldXF7DRMHNmFb79NhOrVxdjxIhm5Oae/f9iWRanT59GVlZWwtY/XlESsARwfp29Xi9qa2sDBhWn\nk4P580fj5EkpVq8+iAsu8J9WyufzkZ+fH5eDcz4DeZ+NRiMmT57ctcm4UqlEeXl5yGRV52JZFnV1\ndQG7IFgWWL26GB98kItbbz2D2247E/Q62dnZ3X6BJfJ72+v1oqamJuCgaEODEHfeOR46nR1r1hwA\nj9c95PRmY45kkBBdMST6OBxO0BWBAoEXTzxxBJmZTixePBINDUK/Y1wuF02D7CNfrvFgQX3t2iFd\nUxpnzToT8BoMw0Cr1SbN3gLA2fdkoKmQanUH5s+vwLFjcrz5ZoHf842NjZS7PcIosCcoLpcbNK9M\nZqYLy5cfRkcHFw8/PAo2m/8xdrs9JadB+vrUTSYTlEollEolTCZTV597KCzLoqGhIejGJm+8UYht\n2/Jw4421Qac0MgyD3NzcXmVSTBQ8Hi/o5jFXXNGEX/zCgE2bCnD8ePfWucfj6fr1RCKDAnsC4/P5\nyM3NDdg/OWhQO5YuPYozZyT4y1+Gw+PxP6a1tTXk3qvJaOfOnaioqEBJSQnKy8tRXl6OkpISVFRU\nYOfOnUHPY1kWjY2NQWetbNqUj7ffLsC119bjnntOBgzqHA4HeXl5QQcbk4FQKEROTk7A5+bMOQmF\nwomnnhoKp7P7f5DVaqW57RHU75QCfUUpBcIXqs48Hg9CoTDg/6dW64BC4cR77+lgtfJx8cVmv4DT\nl53lo2Gg7vOYMWOgVCrxyCOPQKVSQSwWo7S0FDqdLuh0R19QDzZne9u2XKxbNwRTpxrw4IPHA64o\n9QX1UP/PyfLe9m3wcX5dBAIvdLp2bNumA8N05jw6l9PpHJCMlfEmIXLF9BUF9vD1VGeBQAAOhxPw\nmKFD2+B0crBtmw4ikQcjR/q3ONvb28Hn8yEU+vfHx8pA3ucxY8Z0azWLxWKMGTMm4LEsy6KpqSlo\nUP/ooxysXl2CSy9twuLFPyLQeDSXyw1rc+dkem+npaXB6XT6TQXV6ezQ69OwY0cuJk40Qak8+7zb\n7YZAIIir9+FASIhcMSQ+hJrjfuedpzFpUiPWrRuMzz7LCniMwWCgTbHPw7IsjEZj0HSzZWXZWLmy\nBBMmmLBkyQ/gcv3HK3xjIckerM7HMAw0Gk3AabVz5pxEZqYTTz99gV8XYVNTEw3qRwAF9iSSlZUV\ncFCOwwEWLvwRI0Y0Y9myYTh8OPDq02CzPVKRL6gHS1j1xRcqLF8+DKNHW/H440cDpnFI1aDuw+Fw\nkJOT49e1IpO5cd99J3DqlBTbtnVfzOjxeGA2m6NZzKREgT2J+FpJgQKJUOjFsmWd2SAfeWQUqqv9\nB/B887NTfTWgr/slWFD/738VePzx4Rg6tBXLlh0JmE891YO6j1AoRHZ2tt/fL73UiIkTjVi/vhCN\njd3/jywWC1yu0BuPkNAosCeZUHPc09NdeOqpQ+ByWfz5z6NgNvv/TGZZNujip1TgGygN1v2yf38G\nHn10BAoLbXj66UMQi/3nX/sGSlM9qPvI5XK/X5IMA9x330mwLPDCC0O6Pef7YiV9R4E9CYWaT6zV\nOrB8+WFYrQIsXBh4jnuola3JjGVZGAyGoAOlhw/LsXjxKOTm2vHMM4cglfpn6KOg7o9hGKjVar/F\nSxqNA3/4wxl88UUWvvyye+72tra2lM9r1B8U2JOUb9PjQFPHhg5txWOPHcWpU9Kge1SmWnD3er3Q\n6/VBZ2v98IMcCxdeiKysDjz77CGkp/t3FfiCek+zX1IRl8uFRqPx+/v06bUoLGzDCy8Uw+Ho/j5s\nbGxMuQV0kUKBPYmJxWKo1f5Z9QDg4ovNWLjwRxw4kIm//nUYAq3o9gX3ZG85eTwe1NXVBZ0V9OOP\nMjz00IXIyHBh5cqDUCj8szn6VpRSUA9OLBYjPT292994PBZz555AQ0MatmzpnpW0o6MjodIYxxMK\n7ElOLpcHTW41dWoD7rnnJD7/PAurVpUgUOPIF9x9qZmTjdvtRk1NTdAvr+PHpViw4ELI5S6sWnUQ\nWVnBg3q8LfKKR1lZWX5dMqNHN+OKKxqxeXM+DIbuXVgmk4mmP/YBBfYUkJmZ6ddS8vnNb2px881V\n+OgjLV56aXDA4O5L99vXRWXxqqOjA9XV1UF38zp+XIYHHxwNqdSN5547iOxs/yXvvoReyZwmIJI4\nHE7ALpnZs0+BYYB16wZ3+7vb7Q46kE2Co8CeAhiGQXZ2dtCNke+4oxLTptXivfd0WL9+UMBjfFkN\nLRZLUvR7trW1oaamJugWZT/8IMMDD4yGTObGqlXfQ6MJnMckJycnbjacThSBumSyszswc2Y1Pvss\nGwcOdF9oZzabU277vP6iwJ4iGIZBTk5OwD5ghulcDXjttfV4661BePvt/ABX6NTU1JTQg1osy8Js\nNodMW3zkiBwLFoxGeroLq1cfhEYTeAA5JycnKbM0RoNKpfLLTPq739VAo7HjxReHdBvz8Xq9lP2x\nlyiwpxDfHPdAy7w5HGDevApMmdKA118vwubNwYN7c3Mz6urqEi6HtsfjgcFgCJme97vvMrFgwWgo\nFE6sXn0gYPcL0Ll/bCptDhFpXC7Xb+GSUOjF7Nmncfq0FJ980j1DZHNzc9AuM+KPAnuK4XK5QTdE\n4HI7Uw9ceWUDXn21KOCmCD7t7e2oqqpKmBkzDocD1dXVIccJPv9chUWLRkGrteP55wMPlAKAWq1O\nmE3B45lUKvXLb3TZZU0YMaIZb7wxCHZ79xZ9ou4uFQsU2FOQL497oAVMXC6LRYuOYepUA9avL8T6\n9YMCDqgCZ2eUxHO/O8uysFgsqKmpCblM/dNP1Vi6dASKi1uxalXgKY1A53Z2wQaiSe8wDIPCwsJu\nay0YBrj77lMwm4V+0x9p0VL4KLCnKKFQiLy8vIALmLhc4M9//hFXX63Hm28Owtq1QxBqxllTUxPq\n6uriLr/oQJTVAAAgAElEQVSH0+lETU0Nmpqagn7xsGznJhkrVgzDmDFWPPvsIcjlgQfqzt+jlPSf\nSCSCQqHo9rfhw1swaVIjtmzRwWjs3m1oNBrjthERTyiwp7C0tLSgOzBxucCCBcdx44212LYtD08+\nOQwuV/ANENrb23HmzBlYrdaYf/C8Xi/MZjOqqqpCrpz1eBisWlWC114rwpVXNmD58kMQiQKPG1BQ\nHziZmZl+uY3uuus03G4Gb7xR2O3vdrs9addURBIF9hQnFouDbmXG4QD33HMSd955Grt3q7F48Si0\ntwfYSeJ/fAm0qqurY5L+l2VZtLa2oqqqqseWnc3GxSOPjMSHH2oxc2YVHn74GASCwMdTUB9YHA4H\nWVnd9wnQah2YNq0On3yiQWVl9+mk1GrvGQV2AqlUGjS4Mwxw883VePDBH/Hdd5m4996fwGAIvWy+\no6MDtbW1UUsBzLJs17x0vV7fY5dQXZ0I99wzFl9/rcD991fgrrsqA25nB1BQjxaJROK3cvfmm6sg\nFnvw2mvdW+1Op5NSDfSAAjsB0LnlVrDgDgDXXmvAU08dQkNDGv70p7FBN+s4l81mQ3V1NWpqamCz\n2SLeyvJ6vWhubkZVVRXq6+vD+hL55ptMzJ49FhaLAM888z1uuKE+6LFqtZqCepT4FtGdKz3djZtu\nqsa+fSocOdL9/UapBkKjwE66yGSygMu9fcaPt+Cll76DVOrGAw+MwY4d2qAzZs5lt9tRV1eHyspK\nNDY2wm639znIe71etLW1Qa/X49SpU2hoaAhrfrPHw2DDhkFYuPBCZGd3YN267zB2bPCl6hqNhma/\nRJlQKPT7P7/xxlpkZjrx6qtF3d5rbrc7aHplAvhPZiYpzTc/22AwBHw+P9+OtWv348knh2H16hIc\nOJCBBx88Dqm058VKvrwfVqsVHA4HIpEIaWlpEAgE4PP54PF44HA4YFkWbrcbLper65/T6YTdbu9T\n105TkxB//eswHDqUgV/8woC5c08EHST1rdClFaWxoVQq0dra2tUaF4m8uPXWM3j++RL8978KXHzx\n2W3zzGYz0tPTA07bTXUMG6NRiPr64D+BQ1GpVCm3UCEWdfa1ioO9PbxeYMsWHV57rQgajQOLFh3D\nyJHx1e/JssDu3dl44YViOJ0czJtXgauuagh6vC9LY6wSetF7u5PZbO72N5eLwaxZFyEtzYNXX/22\n23iIUqmEUtl9k45415/7rNVqwzqOvupIQFKpNOhGHUDnjJkZM2rw/PMH4PEwuO++n+CFF4b4rRaM\nlcZGIR5+eBSWLRuOvLx2/O1v34YM6hwOBzqdjrI0xoGMjIxuK6P5fBa33VaJ06el2LOnez+8xWKh\nBGEBUGAnQUkkEuTl5YX8qTtyZAveeOMb/OpXdfjHP/Jw++3j8cUXyrD63geC08nBO+/ocNttP8XB\ngxm4554TWLPmAHS64CsW+Xw+8vPzaZOMOMHhcPxa4ZMnN2LQIBs2bBgEj+dsY8O3ZoF0x126dOnS\n/lzAaDTimWeewY4dO/Cvf/0LHo8HxcXFPZ7X19zeYrE4JnOkYymWdebz+ZBIJLDZbEFnIfD5LCZM\nMGPcOAv++18F3n8/DwcOZGDQIFvQfCuR5vV2drssWTISe/dmY/x4M5YtO4IJEyxBpzICnYu0dDpd\nwM2/o43e22cJhUK0tbV1JZpjGEChcGLHjlxotXYMGXJ2kVJHRwfkcrlftsh41Z/7HG7iuX73sVss\nFlgsFhQVFcFut2PhwoVYsGAB8vLyQp5Hfezhi4c6u91u1NXVoaMjcLbDs8cx+PjjHGzYMAgWiwAT\nJxoxfXotxoyxIkivTr84nRx8+qkaW7fqUFMjRnFxK2bPPhVyxouPTCaDWq2Om8G3eLjP0Raqzm1t\nbd3iBMsCf/zjONhsPGzc+DV4vLOhSy6Xh5zRFU+i0cfe7xa7SCRCZmYmgM7W3eHDh5Gbmxt0r00f\narGHLx7qzOFwIJfL4XQ6Q04v5HA6N8u+7rp6CARefPFFFnbsyMWXXyrBsgyysx0Qifo3/5hlgYoK\nKbZu1eHppy/Av/+thkbjwN13n8ScOSeh1fY8c0alUiErKytugjoQH/c52kLVmc/nw263w+12Y/v2\n7dBoNNDpGLz/fh6k0npUVLyHYcOGAehstctksoRotSdEi/1cjY2NeOyxx7By5Uq/QaiysjKUlZUB\nAFasWNHn3Mo8Hi/lBkviqc4sy6Kurg7V1dVhHe90crBrVza2bctDZaUUHA6L0aOtmDDBjOHDm1FS\n0gahsOdAb7HwcfhwOg4dysDXXytQUyMGj+fFhAlm3Hhj+L8IeDweSkpK4nLhUTzd52jpqc7Nzc34\n61//ijVr1qCgoADPPbcKCxdeiNOnr4PHcwz33Xcfpk2bBqBzhszQoUOjVfQ+6899DrSXQiARC+wO\nhwOPPfYYfv3rX2PChAk9Hk9dMeGLxzrbbDYYDIawN9tgWaCyUoI9e7Kwd28Wqqo6839wuV7k5tqh\nUjmhUnVAInHD62Xg9TKw2bgwGNKg14tgsXS+oQUCD0aNasYVVzTh0kubgmZiDEQkEkGj0cRFf3og\n8XifB1o4dT506BBmz56NqqoqZGRkwOViYLNZoFAMwWuvPd3VYwAgIQbBo9EVE5EFSm63GytXrsSl\nl14aVlAniU8ikaCgoAAGgyGsn5UMAxQV2VBUZMPtt5+B2czHsWNy/PCDHLW1YhiNAhw8mIH2di44\nnM688CKRBxqNA5dcYkRurh2jRjVj6NBW8Pm9b4solUooFIqg0zdJ/CouLsaqVatw++23d21szeWq\nwDC7IZFUAjj7fjCZTMjNzY1RSeNHvwM7y7JYt24dcnNzUVpaGokykQTB4/GQm5sLi8UCk8nUqzQB\nCoULP/uZCT/72cDuZSkQCKBWq/0STJHEIRKJ/Lp209I8MJnS8M9/5nTL92Oz2WC321P+fvd75Oj4\n8ePYu3cvjhw5ggULFmDBggXYv39/JMpGEgDDMFAoFCgoKIi7xT1KpRL5+fkp/yFPdEajEffeey+s\nVisyMjKQkZEBm80CofByvPVWGpxOxu/4VE/r2+8W+wUXXIB33303EmUhCUwgECA3Nxetra0wGo0x\nHQSUSCTIysoKe6CJxLedO3fixIkTKCwsxMqVKwEA8+bNQ1XVj+jo+BD//OfUbq12u92O9vZ2SCSS\nYJdMepQEjEQMwzCQy+WQSqWwWq0wm839Tq26fft2TJo0qWuAzGKxYM+ePV0zIc6VlpaGrKwsaqEn\nmVmzZgEApkyZ0jWes2rVKuzZswe7d9+CTZuE+OUv9d02SjEajRCLxSk7phI/k3hJ0uBwOFAoFCgs\nLERWVlafZ6Fs374da9aswbx587oWws2bNw9r1qzB9u3bu46TSCTQ6XTQ6XQU1JPUrFmzkJeX19UK\nz8zMxLRp0/CHP5xBU1MaPvmk+14CHR0daGtri0VR4wK12MmA4XK5yMzM/F+fqA0tLS292nBj0qRJ\n2LFjB6qqqjBr1ixwOBxYrVbodDo4nU4olUrIZDLqckkhSqWy256n48dbMGxYC955R4drrtF3W41q\nNBohlUpTstVOLXYy4BiG6coWOXjwYGi1WmRkZCAtLS3khy4zMxNTp04FALS0tHQNnvF4PKxbtw4f\nfvghBfUUk5aW1q3vnGGA3/++CgaDCLt2dV/t7nK5UnYLPWqxk6jicDiQSqVdG1l4vV643e6uf16v\nFwzDQCaTwWaz4cYbb8T69eu7FkI1NzfDarWipKSEptemKIVC0a3VfvHFJhQXt2LTpnxcdVUDuNzu\n89plMllcpY6IhtSqLYm6DRs2dFtlZzQasWHDhq7HHA4HAoEAYrEYcrkcGRkZSE9PR3Z2Njo6OjB3\n7lx4PJ6ulj3LsuByuVi3bh1UKlW0q0PiwPnz2hkGuOWWKtTVifHvf2d1OzZVt9CjwE4GzIYNG7B4\n8WJMnz4dRqMRRqMR06dPx+LFi7sF92B27tyJiooKFBUVdcvt4vF4sGvXrgEsOYl3CoWi2+Of/9yI\nwsI2vP12Ac6fiGUymcJOfZEsKLCTAVNaWoqSkhJUVFRg8uTJmDx5MioqKsLuRpk1axYWLVoEoHOa\no1Kp7Jr2uG3btpTLq0LO8u2X68PhALfcUo2qKgk+/7x7q93r9cJisUS7iDFFgZ0MGJVKha1bt0Kp\nVMJkMsFkMkGpVGLr1q1hd6NIpVKcPn0aJSUlKC8vx549e7q+LHbu3DnANSDxyrfi+VyXX94Ina4d\nmzbl++3glWpb6NHgKYlrvsUppaWlXV8GW7duxc6dO7ueI6lJIpFAIBB0pQDncoEZM6rx9NMX4Ouv\nFZgw4eyWeSzLwmw2Izs7O9jlkgq12MmA8fWp+1rqvpa7r889XLNmzerWwlepVBTUScBW+9SpDVCr\nHXj77QK/VrvVaoXL5YpiCWOHAjsZML7Bz5KSEvzf//0ftm7d2tWN8ve//z2sAVRCQpHJZODxznY8\n8Hgsfve7Ghw5ko7vv0/3Oz5VxmWoK4YMGF+ruq2tDcuXL8e2bduwbt067Nq1C9u2bUNFRUW34wjp\nLV+rvbGxsetv11yjx1tvFWDTpgKMGXOo2/Gtra1QKBQQCoXRLmpUUWAnA2rWrFkwGo1dgXz69OkA\nOqeg0SIjEglyuRxGo7Er4ZxQ6MX06TX4298G49gxGYYN676/stFoTPrNOKgrhgy4SMyOISQYDofj\nt4ftDTfUQyp1YfPmfL/jbTZb0m8aToGdEJLwMjIyuuUdEos9mDatDl98kYUzZ/w3gEn2zTgosJMB\nF6nZMYQEw+PxIJfLu/3txhvrkJbmwTvv+LfaHQ5HUqf1pcBOBty5s2PKy8tRXl5Oi4xIxPlWJfuk\np7tQWlqPsjI1DIY0v+OTudVOg6dkwNEiIxINAoEAEomkW+bH3/62Fu+/n4stW3SYO/dEt+NdLhes\nVqvfF0IyoBY7iQpaZESi4fwgnZXVgauuasDHH2tgNvvv5GU2m5MyQRgFdkJI0hCJRH5z1GfMqIbL\nxcG2bXl+x3s8nqRMEEaBnRCSNBiG8Wu15+XZcdllTdixIxdtbVy/cywWS9KlGqDATghJKjKZDFxu\n9wB+883VsNl4+OAD/4VJLMsm3ewsCuyEkKQSqNVeXNyGn/7UjPfey0NHh3/Ya21thcPhiFYRBxwF\ndkJI0klPT/fbKH3mzCpYLAL885+agOc0NTUlzfRHCuyEkKTD5XL9FiyNHt2MESOasWWLDh4P43eO\n3W5PmkVLFNgJIUnp/O4YhumcIWMwiFBeHnjDjXOTiSUyCuyEkKQkEAggFnfPEzNxogmDBtmweXO+\n36bXwNlFS4kuIoH9pZdewp133okHHnggEpcjhJCIOD/rI4cDzJxZjTNnJPjqK2XAc0wmU8LvjxqR\nwD5p0iQ8/PDDkbgUIYREjEQiAZ/ffcXp5MmN0Gjs2LzZf9NrIDmmP0YksA8fPhxSqTQSlyKEkIhh\nGMav1c7lsvjtb2tw9Gg6Dh3y3z4PAFpaWhJ6+iP1sRNCkppcLveb+njNNQZkZjoDbsTh09jYmLDT\nH6OW3bGsrAxlZWUAgBUrVvR55xwej5dyu+5QnVMD1Xng2Gw2GAyGrsdCoRc33liL114rwokTUhQX\n+09zdDgc8Hq9UKvVES1LNOoctcA+ZcoUTJkypetxX/uwVCpVwvd/9RbVOTVQnQdOWpp/PvYbbqjH\nO+/kY/PmfDz22A8Bzztz5gwA+KUo6I/+1Fmr1YZ1HHXFEEKSXqCpj1KpG9dfX4+9e7NQWysKeJ7H\n44HJZIpGESMqIoF99erVeOSRR1BfX4/Zs2ejvLw8EpclhJCIOX8QFQB+85sa8Hhe/P3vuqDnWa3W\nhBtIjUhXzP333x+JyxBCyIDxTX08N0WvQuHCL39pwEcf5eAPf6hCVlZHwHMbGxuh0+n8BmHjFXXF\nEEJSAsMwSE/3n95400018HoZvPuu/0YcPg6HA83NzQNZvIiiwE4ISRmBsj5qNA5ceWUDdu7Uork5\neCeG0WhMmBWpFNgJISmDy+VCJpP5/X3GjGo4HFz84x/BW+1erxdNTU0DWbyIocBOCEkpgQZRCwvb\n8bOfGbF9ey7a24NPbWxtbYXNZhvI4kUEBXZCSEpJS0sLOK/95pur0NrKxwcfhJ4r3tDQEPepfSmw\nE0JSTqBW+7BhrRg3zox339UF3D7Px+12x/1CMgrshJCUI5VKA64mveWWalgsAnz8ceDt83ysVivs\ndvtAFa/fKLATQlIOh8MJOPVx9Gjr/7bPy4fbHXrOejx3yVBgJ4SkpECBnWE6+9obGtJQVhY6+ZfT\n6YzbdAMU2AkhKYnP50Mikfj9/eKLzRgypBWbN+fD4wl9DYvFEpddMhTYCSEpK9AgKsN09rXX1Ijx\n2WdZPV7DYDDEXZcMBXZCSMoSi8V+W+cBwKWXNqGgwIa33y4IuOn1uVwuV9wtXKLATghJWYG2zgM6\nN72++eYqVFZKsW9fz5tiNDc3o63Nf7OOWKHATghJaYG2zgOAyZOboNXa8dZbBQE3vT5fQ0ND3OSS\nocBOCElpwfLHcLksbr65ChUVMnz9taLH63g8HhgMhrjYJ5UCOyEk5QWa+ggAU6c2QK12hN1qb29v\nh8ViiXDpeo8COyEk5aWlpUEoFPr9nc9nMXNmNY4eTcf+/ZlhXctoNMZ8CiQFdkJIygs2iAoAV1+t\nR1aWAxs3htdqBwC9Xh/T/nYK7IQQAkAmk4HD8Q+JAgGLGTOqcfhwBg4cCBz8z+d2u6HX62PW306B\nnRBC0Jk/Ri6XB3zu2msNUKk6sHHjoLCvZ7fbY5YFkgI7IYT8T7DuGIHAixkzqnHoUAYOHgyv1Q50\nphxobW2NVPHCRoGdEEL+RyAQQCQSBXyutFQPpbIDGzcW9OqaBoMh6oOpFNgJIeQcPbXaDx7MDLuv\nHQBYlkV9fT1cLlekitgjCuyEEHKOYJtwAMB11+mhUnVg/fpBYc+QAToXL9XV1cHTU7rICKHATggh\n52AYJuiCJYHAi5tvrsLhwxn49tvw5rX7OJ3OqC1eosBOCCHnCRbYAeCaa/RQqx1Yv76wV612AFGb\n/kiBnRBCzhNsEw6gc177LbdU4dgxOb76quccMrFAgZ0QQgIINogKAFdfbUBOjr1PrfZoiEhgP3jw\nIObOnYt7770X77//fiQuSQghMRVsEw4A4PFY3HrrGZw4IcPevT3na4+2fgd2r9eL119/HQ8//DBW\nrVqFL7/8ErW1tZEoGyGExEyoQVSgM/NjQYENb7xR2OPeqNHW78B+8uRJaDQaqNVq8Hg8XHLJJfjm\nm28iUTZCCImp9PT0gJtwAACXC9x2WyWqqyXYtUsd5ZKF1u/AbjaboVQqux4rlUqYzeb+XpYQQmKO\ny+VCKpUGff6yy4woKWnFhg2FcDoDfwHEAq+/Fwg0fSfQN1xZWRnKysoAACtWrIBK1bd+KR6P1+dz\nExXVOTVQneOTUCjE4cOHAz7HMMCdd57GQw+NxkcfaTFtWl3Ia4nF4qjUud+BXalUwmQydT02mUzI\nzPSfuD9lyhRMmTKl63Ffs56pVKqYZUyLFapzaqA6xyeWZSEUCtHR0RHw+fHjLRgzxoK33irA1Vcb\nIBIF73Bvb2+H2+3uc521Wm1Yx/W7K2bw4MHQ6/VobGyE2+3Gvn37MH78+P5elhBC4kJPg6gMA9x1\nVyUsFgHefTcviiULrt8tdi6Xi9tvvx3Lli2D1+vFFVdcAZ1OF4myEUJIXJDL5TAajfB6vQGfHz68\nBZdd1oQtW3S47rp6KBTRS/gVSL8DOwCMHTsWY8eOjcSlCCEk7vg24bBarUGPufPO0/jii4vw5puD\ncP/9J6JYOn+08pQQQsIQaiUqAOh0dpSW1mPnzhzU1ATO6R4tFNgJISQMoTbh8PnDH86Az2fx2mtF\nUSpVYBTYCSEkTD212hUKF266qRp792bh8OHA+6dGAwV2QggJU6hNOHx++9saqFQdeOmlIQgy1jrg\nKLATQkiYGIbpsdUuEnlx552n8eOPcpSVxSbVAAV2QgjphVBz2n2mTm3A0KEtePXVItjt0Q+zFNgJ\nIaQXeDxeyPwxAMDhAPfccwpGoxBbtuRHqWTnvH7UX5EQQhJcT90xADBqVDMmTWrE3/+uQ2OjMAql\nOosCOyGE9JJIJIJAIOjxuD/+8TRYFnjppcFRKNVZFNgJIaSXwhlEBQCNxoGZM6vx2WfZ+O67no+P\nFArshBDSB3K5HBxOzyF0xowaaLV2vPBCMVyu6ORsp8BOCCF94Msf0xOBwIs5c06iqkqCzZujk3ue\nAjshhPRRON0xADBxogkTJxrxyitq1NcPcKFAgZ0QQvpMIBBALBaHdeycOSchk3lQUTHw3TEU2Akh\npB/CbbVrtQ7s3HkMkyb5bycaaRTYCSGkHyQSCfh8fljHhnlYv1FgJ4SQfgh36mM0UWAnhJB+ksvl\nYJjoTGUMBwV2QgjpJy6XG9bUx2ihwE4IIRGQmZkZ6yJ0ocBOCCER0JupjwONAjshhERIvLTaKbAT\nQkiEiMXisKc+DiQK7IQQEiEMw8RFq50COyGERFC4WR8HEgV2QgiJIA6HE9a+qANahpi+OiGEJKFY\nr0SlwE4IIRHG5/Mhk8li9voU2AkhZADEstXer8D+n//8B/Pnz8fvfvc7nDp1KlJlIoSQhCcSiSAS\niWLy2v0K7DqdDg8++CCGDRsWqfIQQkjSiFWrndefk/Py8iJVDkIISTpSqRR8Ph8ulyuqr0t97IQQ\nMkBilau9xxb7E088AavV6vf3m266CT/96U/DfqGysjKUlZUBAFasWAGVqm+7dfN4vD6fm6iozqmB\n6pycMjMzYbFY4Ha7IRaLo1LnHgP7kiVLIvJCU6ZMwZQpU7oeG43GPl1HpVL1+dxERXVODVTn5CWX\ny2E2m9He3g63293nOmu12rCOo64YQggZYBkZGVHdYalfgf3rr7/G7NmzUVFRgRUrVmDZsmWRKhch\nhCQNHo8X1R2W+jUr5qKLLsJFF10UqbIQQkjSyszMREtLS1Rei7piCCEkCgQCAaRSaVReiwI7IYRE\nSVpaWlRehwI7IYQkGQrshBCSZCiwE0JIkqHATgghSYYCOyGEJBkK7IQQkmQosBNCSJKhwE4IIUmG\nAjshhCQZhmVZNtaFIIQQEjkJ12JfuHBhrIsQdVTn1EB1Tg3RqHPCBXZCCCGhUWAnhJAkw126dOnS\nWBeit4qKimJdhKijOqcGqnNqGOg60+ApIYQkGeqKIYSQJNOvrfEG0sGDB7F+/Xp4vV5ceeWV+NWv\nftXteZfLhRdffBGnT5+GTCbD/fffj+zs7BiVNjJ6qvPOnTuxe/ducLlcyOVy/OlPf0JWVlaMShsZ\nPdXZ56uvvsJzzz2H5cuXY/DgwVEuZeSEU999+/Zh69atYBgGBQUFmDt3bgxKGjk91dloNGLt2rWw\n2Wzwer2YOXMmxo4dG6PSRsZLL72E/fv3Iz09HStXrvR7nmVZrF+/HgcOHIBQKMTdd98d2e4ZNg55\nPB52zpw5rMFgYF0uF/vggw+yNTU13Y755JNP2FdeeYVlWZb94osv2Oeeey4WRY2YcOp8+PBh1uFw\nsCzLsp9++mlK1JllWba9vZ199NFH2Ycffpg9efJkDEoaGeHUt76+nl2wYAHb2trKsizLWq3WWBQ1\nYsKp87p169hPP/2UZVmWrampYe++++5YFDWijh49yp46dYqdP39+wOe/++47dtmyZazX62WPHz/O\nLlq0KKKvH5ddMSdPnoRGo4FarQaPx8Mll1yCb775ptsx3377LSZNmgQAuPjii3HkyBGwCTxcEE6d\nR44cCaFQCAAoLi6G2WyORVEjJpw6A8CWLVtw/fXXg8/nx6CUkRNOfXfv3o1f/OIXXXtjpqenx6Ko\nERNOnRmGQXt7OwCgvb0dmZmZsShqRA0fPjzk/qbffvstLrvsMjAMg5KSEthsNlgsloi9flwGdrPZ\nDKVS2fVYqVT6BbFzj+FyuRCLxWhtbY1qOSMpnDqfq7y8HGPGjIlG0QZMOHWurKyE0WjEuHHjol28\niAunvvX19dDr9ViyZAkWL16MgwcPRruYERVOnadPn47PP/8cs2fPxvLly3H77bdHu5hRZzaboVKp\nuh739HnvrbgM7IFa3gzD9PqYRNKb+uzduxenT5/G9ddfP9DFGlA91dnr9WLjxo249dZbo1msARPO\nPfZ6vdDr9Xjssccwd+5crFu3DjabLVpFjLhw6vzll19i0qRJWLduHRYtWoQXXngBXq83WkWMiYGO\nX3EZ2JVKJUwmU9djk8nk9/Ps3GM8Hg/a29tD/vSJd+HUGQAOHTqE7du346GHHkr4rome6uxwOFBT\nU4PHH38c99xzD06cOIGnn34ap06dikVx+y2ce6xQKPDTn/4UPB4P2dnZ0Gq10Ov10S5qxIRT5/Ly\nckycOBEAUFJSApfLldC/vsOhVCphNBq7Hgf7vPdVXAb2wYMHQ6/Xo7GxEW63G/v27cP48eO7HTNu\n3Djs2bMHQOeMiREjRiR0iz2cOldWVuLVV1/FQw89lPB9r0DPdRaLxXj99dexdu1arF27FsXFxXjo\noYcSdlZMOPf4oosuwpEjRwAALS0t0Ov1UKvVsShuRIRTZ5VK1VXn2tpauFwuyOXyWBQ3asaPH4+9\ne/eCZVlUVFRALBZHNLDH7QKl/fv3Y+PGjfB6vbjiiivw61//Glu2bMHgwYMxfvx4OJ1OvPjii6is\nrIRUKsX999+f0B8AoOc6P/HEE6iurkZGRgaAzg/En//85xiXun96qvO5li5dit///vcJG9iBnuvL\nsizefPNNHDx4EBwOB7/+9a/xs5/9LNbF7pee6lxbW4tXXnkFDocDAHDLLbdg9OjRMS51/6xevRo/\n/PADWltbkZ6ejt/+9rdwu90AgKuuugosy+L111/H999/D4FAgLvvvjui7+u4DeyEEEL6Ji67Yggh\nhJfBiQsAAAAzSURBVPQdBXZCCEkyFNgJISTJUGAnhJAkQ4GdEEKSDAV2QghJMhTYCSEkyVBgJ4SQ\nJPP/fQ4BLitxuoMAAAAASUVORK5CYII=\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -187,7 +188,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 6, "metadata": { "cell_id": "AA735CF7DD064499A5C55594A5FAA2C8" }, @@ -196,35 +197,35 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 : 172.1448193985431\n", - "5 : 28.572146360670075\n", - "10 : 22.051259186540303\n", - "15 : 21.659851715671604\n", - "20 : 21.652461448540507\n", - "25 : 21.652325343400133\n", - "30 : 21.652322894623428\n", - "35 : 21.652322889975387\n", - "40 : 21.652322885771532\n", - "45 : 21.652322881969678\n" + "0 : 30.71301352422921\n", + "5 : 5.116622659886601\n", + "10 : 4.805123154804637\n", + "15 : 4.800253845427498\n", + "20 : 4.800167206134736\n", + "25 : 4.800165683914915\n", + "30 : 4.800165679208894\n", + "35 : 4.800165674956105\n", + "40 : 4.800165671107989\n", + "45 : 4.800165667629343\n" ] }, { "data": { "text/html": [ - "Model GPR
  • mean_function: Linear
  • kern: RBF
  • likelihood: Gaussian
ParameterValuePriorParamType
mean_function.A[[-1.61672576]]NoneParam
mean_function.b[ 3.63185399]NoneParam
kern.variance[ 0.69043957]NonePositiveParam
kern.lengthscales[ 0.0694677]NonePositiveParam
likelihood.variance[ 0.01671995]NonePositiveParam
" + "Model GPR
  • mean_function: Linear
  • kern: Matern52
  • likelihood: Gaussian
ParameterValuePriorParamType
mean_function.A[[-0.86808864]]NoneParam
mean_function.b[ 3.28288987]NoneParam
kern.variance[ 0.6099752]NonePositiveParam
kern.lengthscales[ 0.08859375]NonePositiveParam
likelihood.variance[ 0.00261567]NonePositiveParam
" ], "text/plain": [ "GPR (\n", " (mean_function): Linear (\n", " )\n", - " (kern): RBF (\n", + " (kern): Matern52 (\n", " )\n", " (likelihood): Gaussian (\n", " )\n", ")" ] }, - "execution_count": 18, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -249,7 +250,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 7, "metadata": { "cell_id": "ED272B8B122E49D29D44A170B4E5D44E" }, @@ -257,18 +258,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 19, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD8CAYAAABXe05zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nuAkhpMBQ4CaEkAJDgZsQQgrM/wOnPkjifFpPagAAAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQggbknIXQggbknIXQggbknIXQggb+gVV0e3z8TEnKwAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -299,11 +300,39 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": { "cell_id": "CB39B19CBCD540E78EC33A0B169C85FD" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "likelihood with priors 21.37206982761066\n" + ] + }, + { + "data": { + "text/html": [ + "Model GPR
  • mean_function: Linear
  • kern: RBF
  • likelihood: Gaussian
ParameterValuePriorParamType
mean_function.A[[-0.86808864]]N([ 0.],[ 10.])Param
mean_function.b[ 3.28288987]N([ 0.],[ 10.])Param
kern.variance[ 0.6099752]Ga([ 1.],[ 1.])PositiveParam
kern.lengthscales[ 0.08859375]Ga([ 1.],[ 1.])PositiveParam
likelihood.variance[ 0.00261567]Ga([ 1.],[ 1.])PositiveParam
" + ], + "text/plain": [ + "GPR (\n", + " (mean_function): Linear (\n", + " )\n", + " (kern): RBF (\n", + " )\n", + " (likelihood): Gaussian (\n", + " )\n", + ")" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "k2 = candlegp.kernels.RBF(1, lengthscales=torch.DoubleTensor([0.3]),variance=torch.DoubleTensor([1.0]))\n", "mean2 = candlegp.mean_functions.Linear(torch.DoubleTensor([1]), torch.DoubleTensor([0]))\n", @@ -320,7 +349,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "cell_id": "2C025E9BC16D44FB8915B71B2140A1CC" }, @@ -331,22 +360,44 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "cell_id": "52D204E2251B4B8F88F9D2AA2D506F6B" }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEJCAYAAACQZoDoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pyplot.plot(res[0]); pyplot.title(\"likelihood\");" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { "cell_id": "9181466484404420BA416155CEDF151D" }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1Qxi2AkEAqGa8f+15mtjgNoIdgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "for (n,p0),p,c in zip(m.named_parameters(),res[1:],['r','g','b','y','b']):\n", " pyplot.plot(torch.stack(p).squeeze().numpy(), c=c, label=n)\n", @@ -367,11 +418,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "cell_id": "9819F0FD9C9244E59BB41A4F18EA5F21" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nuapQtR0ZAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "xstar = torch.linspace(0,1,100).double()\n", "mc_params = torch.stack([torch.cat(p, dim=0) for p in res[1:]],dim=1)\n", @@ -404,7 +476,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 13, "metadata": { "cell_id": "8F1FB7E83FFD40CB99764C93D488590F" }, @@ -412,13 +484,13 @@ { "data": { "text/html": [ - "Model SGPR
  • mean_function: Linear
  • kern: RBF
  • likelihood: Gaussian
ParameterValuePriorParamType
Z[[ 0.59475344]\n", - " [ 0.42028281]\n", - " [ 0.00093972]\n", - " [ 0.8433978 ]\n", - " [ 0.04595426]\n", - " [ 0.64909101]\n", - " [ 0.37004566]]NoneParam
mean_function.A[[ 1.]]NoneParam
mean_function.b[ 0.]NoneParam
kern.variance[ 1.]NonePositiveParam
kern.lengthscales[ 0.3]NonePositiveParam
likelihood.variance[ 0.01]NonePositiveParam
" + "Model SGPR
  • mean_function: Linear
  • kern: RBF
  • likelihood: Gaussian
ParameterValuePriorParamType
Z[[ 0.69981772]\n", + " [ 0.92214328]\n", + " [ 0.53752881]\n", + " [ 0.85559589]\n", + " [ 0.62081194]\n", + " [ 0.33095884]\n", + " [ 0.56365204]]NoneParam
mean_function.A[[ 1.]]NoneParam
mean_function.b[ 0.]NoneParam
kern.variance[ 1.]NonePositiveParam
kern.lengthscales[ 0.3]NonePositiveParam
likelihood.variance[ 0.01]NonePositiveParam
" ], "text/plain": [ "SGPR (\n", @@ -431,7 +503,7 @@ ")" ] }, - "execution_count": 28, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -446,7 +518,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 14, "metadata": { "cell_id": "6EECFA90549A41C186352FD6EEDA084F" }, @@ -455,28 +527,28 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 : 151.118466812541\n", - "5 : 15.269211836567024\n", - "10 : 8.870809890310468\n", - "15 : 8.464744596637871\n", - "20 : 8.460658622843269\n", - "25 : 8.460599191888335\n", - "30 : 8.460598355187699\n", - "35 : 8.460598350641789\n", - "40 : 8.46059834653309\n", - "45 : 8.460598342817946\n" + "0 : 56.81718699123746\n", + "5 : 12.016467313612779\n", + "10 : 8.505823213255667\n", + "15 : 8.243992899706\n", + "20 : 8.116013703167177\n", + "25 : 8.112850825172615\n", + "30 : 8.108751693304683\n", + "35 : 7.298519999464297\n", + "40 : 6.589012834750264\n", + "45 : 6.532950628603544\n" ] }, { "data": { "text/html": [ - "Model SGPR
  • mean_function: Linear
  • kern: RBF
  • likelihood: Gaussian
ParameterValuePriorParamType
Z[[ 0.4704737 ]\n", - " [ 0.38097791]\n", - " [ 0.00898348]\n", - " [ 0.84370832]\n", - " [ 0.07373433]\n", - " [ 0.62807518]\n", - " [ 0.24009045]]NoneParam
mean_function.A[[-1.72983099]]NoneParam
mean_function.b[ 3.70241307]NoneParam
kern.variance[ 0.47886879]NonePositiveParam
kern.lengthscales[ 0.0886398]NonePositiveParam
likelihood.variance[ 0.03231634]NonePositiveParam
" + "Model SGPR
  • mean_function: Linear
  • kern: RBF
  • likelihood: Gaussian
ParameterValuePriorParamType
Z[[ 0.55389447]\n", + " [ 0.84021231]\n", + " [ 0.91739824]\n", + " [ 0.64446846]\n", + " [ 0.72593391]\n", + " [ 0.15403177]\n", + " [ 0.33188337]]NoneParam
mean_function.A[[-0.75008655]]NoneParam
mean_function.b[ 3.24108891]NoneParam
kern.variance[ 0.55699893]NonePositiveParam
kern.lengthscales[ 0.08691417]NonePositiveParam
likelihood.variance[ 0.02205185]NonePositiveParam
" ], "text/plain": [ "SGPR (\n", @@ -489,7 +561,7 @@ ")" ] }, - "execution_count": 29, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -514,7 +586,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 15, "metadata": { "cell_id": "9D4C2F52C55E4C9ABDAC2697C683013C" }, @@ -522,18 +594,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 30, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD8CAYAAABXe05zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCCFZ5v8HuV/QhSKZh8UAAAAASUVORK5CYII=\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD8CAYAAABXe05zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBW5CCBEYCtyEECIwFLgJIURg/j8AeNWGwm/u1QAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {},