diff --git a/notebooks/SBI_linefit.ipynb b/notebooks/SBI_linefit.ipynb index 28414e1..2ae9e3f 100644 --- a/notebooks/SBI_linefit.ipynb +++ b/notebooks/SBI_linefit.ipynb @@ -5,7 +5,8 @@ "id": "f774193d", "metadata": {}, "source": [ - "# SBI for the parameters of a line fit" + "# SBI for the parameters of a line fit\n", + "The goal is to do inference and then sample from the inferred parameters to build a posterior predictive check (of y). Then, measure the distribution of y given x, and from this return some sort of error interval." ] }, { @@ -18,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 15, "id": "5e8c8f57", "metadata": {}, "outputs": [], @@ -36,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 16, "id": "7bfe9a7f", "metadata": {}, "outputs": [], @@ -51,7 +52,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 17, "id": "ff8152c0-94f3-4a7c-a50b-dff13517305b", "metadata": {}, "outputs": [], @@ -73,29 +74,39 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 64, "id": "0d90f3ef", "metadata": {}, "outputs": [], "source": [ + "true_sigma = 10\n", "def simulator(thetas):#, percent_errors):\n", " # just plop the pendulum within here\n", - " m, b, sigma = thetas\n", + " m, b = thetas\n", " x = np.linspace(0, 100, 101)\n", " rs = np.random.RandomState()#2147483648)# \n", + " # I'm thinking sigma could actually be a function of x\n", + " # if we want to get fancy down the road\n", + " sigma = 10\n", " ε = rs.normal(loc=0, scale=sigma, size = len(x)) \n", - " return m * x + b + ε" + " return m * x + b + ε\n", + "\n", + "def simulator_no_noise(thetas):#, percent_errors):\n", + " # just plop the pendulum within here\n", + " m, b = thetas\n", + " x = np.linspace(0, 100, 101)\n", + " return m * x + b" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 66, "id": "da2e32f0-921d-4de1-abb4-3e9b4bcf85f2", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -106,9 +117,13 @@ ], "source": [ "plt.scatter(np.linspace(0, 100, 101),\n", - " simulator([1, 1, 10]), color = '#07BEB8')\n", + " simulator([1, 1]), color = '#07BEB8')\n", + "plt.plot(np.linspace(0, 100, 101),\n", + " simulator_no_noise([1, 1]), color = '#07BEB8')\n", "plt.scatter(np.linspace(0, 100, 101),\n", - " simulator([2, 9, 5]), color = '#8F3985')\n", + " simulator([2, 9]), color = '#8F3985')\n", + "plt.plot(np.linspace(0, 100, 101),\n", + " simulator_no_noise([2, 9]), color = '#8F3985')\n", "plt.show()" ] }, @@ -118,6 +133,8 @@ "metadata": {}, "source": [ "## 3 Generate data\n", + "This part is a placeholder for future work - \n", + "\n", "Each data \"point\" is a set of points corresponding to a slope and intercept. The potential future hierarchical aspect of this is inferring things about the distribution of lines in the universe.\n", "\n", "The effective data length is 1000 x 100 (because there are 100 x points per each data point)." @@ -125,13 +142,13 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 67, "id": "5e2054cd-cd41-485b-b72a-a8ef37d44f22", "metadata": {}, "outputs": [], "source": [ "length_df = 1000\n", - "xs = np.zeros((length_df, 3))\n", + "xs = np.zeros((length_df, 2))\n", "ys = []\n", "#true_sigmas = []\n", "\n", @@ -139,15 +156,15 @@ " rs = np.random.RandomState()#2147483648)# \n", " m = rs.normal(loc=1, scale=1)\n", " b = rs.normal(loc=0, scale=10)\n", - " sigma = abs(rs.normal(loc=0, scale=10))\n", - " thetas = [m, b, sigma]\n", + " #sigma = abs(rs.normal(loc=0, scale=10))\n", + " thetas = [m, b]\n", " xs[r,:] = thetas\n", " ys.append(simulator(thetas))" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 68, "id": "8a9d974c-8cd0-4bd3-8cd9-e9089244826a", "metadata": {}, "outputs": [ @@ -155,7 +172,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "(1000, 3) (1000, 101)\n" + "(1000, 2) (1000, 101)\n" ] } ], @@ -174,22 +191,22 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 69, "id": "fce06c22-261e-4700-8675-e45a6f2bf342", "metadata": {}, "outputs": [], "source": [ - "num_dim = 3\n", + "num_dim = 2\n", "\n", - "low_bounds = torch.tensor([0, -10, 0])\n", - "high_bounds = torch.tensor([10, 10, 10])\n", + "low_bounds = torch.tensor([0, -10])\n", + "high_bounds = torch.tensor([10, 10])\n", "\n", "prior = sbi.utils.BoxUniform(low = low_bounds, high = high_bounds)" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 70, "id": "6a38e7a2-fd9f-4a76-8049-8875696c2919", "metadata": {}, "outputs": [ @@ -204,9 +221,9 @@ }, { "data": { - "image/png": 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", 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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -216,13 +233,11 @@ "source": [ "m_sample = []\n", "b_sample = []\n", - "sig_sample = []\n", "\n", "for i in range(1000):\n", " samp = prior.sample()\n", " m_sample.append(np.array(samp[0]))\n", " b_sample.append(np.array(samp[1]))\n", - " sig_sample.append(np.array(samp[2]))\n", "\n", "plt.clf()\n", "fig = plt.figure(figsize = (10,5))\n", @@ -232,9 +247,6 @@ "ax1 = fig.add_subplot(132)\n", "ax1.hist(b_sample, color = '#6457A6')\n", "ax1.set_xlabel('b')\n", - "ax2 = fig.add_subplot(133)\n", - "ax2.hist(sig_sample, color = '#6457A6')\n", - "ax2.set_xlabel('$\\sigma$')\n", "plt.show()" ] }, @@ -249,14 +261,14 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 71, "id": "c7d0effa", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "dce7c18c9f564acba6ac5c72c3f3cf88", + "model_id": "bc45f14bc28f4ce58e23c1bfdb4267df", "version_major": 2, "version_minor": 0 }, @@ -271,7 +283,7 @@ "name": "stdout", "output_type": "stream", "text": [ - " Neural network successfully converged after 173 epochs." + " Neural network successfully converged after 68 epochs." ] } ], @@ -281,13 +293,13 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 72, "id": "4102596e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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5DCP1Ws75/X7l5eWpra1Nubm5Tg8HAOCwcA/7YWFKk3sGGuFLmkODhEQEEpFKowMhT7rlkwRYeX4ToAAA0kK0WQ6zzdy6BwmSTAcSZmdZOg1DY2qqI44jsCxVX3atK5el4mHl+c0SDwAgLfSWl2GlmZuhs0HCgt07JU/4NvyBcxY27NK0QUV649gR07MsmdayPlaUGQMA0loszdwMSQdPt5sKJJZ99omlHYYzrWV9rAhQAABpzWozN6ueOLDP0g7DmdayPlYEKACAtJbomYiWMx0R3+u+XBMQKI2OlF3i0dkE33RpWR8rAhQAQFqLZSbCI2lotjdqIFHYt5+p63UPkgKl0YFr9LymlF4t62NFgAIASGvRZix6Cpz32JhxUQOJOcNGmLpmzyApk1rWx4oqHgBASjJb1ttbM7dwhvbon7Jy/IQwFTpnz5k2qEjPHj4Q0w7DmdKyPlb0QQEApJxYmqdFaub28KivamC/7Jg7yQZKmKXwnWyZEfkSjdoAAGkrni6siWhZHxiTmU62mY4ABQCQltzchTVRwU86oZMsACAtubkLaybsMJxMVPEAAFIGXVgzBwEKACBl0IU1c7DEAwAZJpVzJQI9TWIp60VqsX0GpbOzU0uWLFFpaan69++viy66SPfff7+65+IahqGlS5dqyJAh6t+/v8rLy9XQ0GD3UAAAPaw+2qQxNdWqqKvV7I/eV0VdrcbUVJ+zoZ0ZnYah6pZmvdJ0WNUtzSH7zSQKXVgzh+0Byq9+9Ss99dRTeuKJJ7Rz50796le/0sMPP6zf/va3wXMefvhhLV++XCtWrNDmzZt1/vnnq6KiQqdOnbJ7OACAvwmU55rddTfatewKdKyiC2tmsL3M+Oabb5bP59Pvf//74LEZM2aof//++sMf/iDDMFRSUqIFCxZo4cKFkqS2tjb5fD49//zzmjlzZtS/QZkxAFhjZ3luPH1I7JTKS1WZysrz2/YZlKuvvlrr16/X7t27JUnvvfeeNm3apG984xuSpD179qixsVHl5eXB38nLy9PkyZNVU1MT9prt7e3y+/0hLwCAeVbKc3vTaRha0LAzbP5H4NjChl1JW+6ZWlCoW31DNLWgkOAkzdieJLto0SL5/X6NHTtWffr0UWdnpx588EFVVlZKkhobGyVJPl9odO3z+YLv9VRVVaVf/vKXdg8VADKGXeW5bu5DgvRi+wzKH//4R7344ot66aWXtH37dr3wwgt69NFH9cILL8R8zcWLF6utrS342r9/v40jBoD0Z1d5Ln1IkCy2z6Dcc889WrRoUTCX5NJLL9XevXtVVVWl2bNnq7i4WJLU1NSkIUOGBH+vqalJEyZMCHtNr9crr5eadgCIlR3luZ2GoaZeZk+6ow8J4mX7DMoXX3yhrKzQy/bp00ddXV2SpNLSUhUXF2v9+vXB9/1+vzZv3qyysjK7hwMAUPzluYGqnXs/qe/173h0dpM8+pAgXrbPoEybNk0PPvigRowYoUsuuUTvvvuuHn/8cf3oRz+SJHk8Hs2bN08PPPCARo8erdLSUi1ZskQlJSWaPn263cMBAPxNoDy35667Q6Psuhupaqcn+pDATraXGR8/flxLlizRqlWrdOTIEZWUlGjWrFlaunSpsrOzJZ1t1PaLX/xCTz/9tFpbWzVlyhT97ne/05gxY0z9DcqMASB24cpzJYUt2Y1WntzdsDCBDqXA6M7K89v2ACUZCFAAwD6rjzaFmVXx6rHR41TQt58q6mqjXuPhi76qOcNHhgQfvV2XZmqZydE+KACA1BGtu+yaY0dMXcfn9Z4TnNjVtRaZiQAFADKUmaZrK5sOmbpW96odNzVzQ+oiQAGADGWm6dqxjg4N6tfvnMqfgHBVO3Z1rUVmI0ABgDQXaddhs83UZvlKJJkvT6aZG+xge5kxAMA9ektUNdtM7eZBRbomv8B0ebJdXWuR2QhQACBNRepfEkhUffGSy0x3l+3j8WjaoCJTJcN2dK0FWOIBgDQSWM5Z2XhIc+s/7DVR9d6P6/XIqLGSzC3fmN09ON6utYBEgAIAaSPQjr6irla37fxAxzo6Ip4bSFQd2C9bK8dPUEmP/c6GenO0cvyEmPuVBLrW2n1dZA6WeAAghQU6ta45dkS/PbDX8u83nm7Xrb4hppdvrJg+2JeQ6yIzEKAAQIoKlwBrVSBRNbB8Y7dEXRfpjwAFACxwy94yZjfwi4REVbgdAQoAmOSWvWV669RqBomqSAUkyQKACYneWyZSM7VwonVqjYZEVaQCZlAAIIpoe8t4dHZvmWmDimKakbA6MxNLB9ZB/frpkVFjVdKtrwngZsygAEAUidxbJpaZGSsdWD1/ez3x1Us0q7ik1/4lgJsQoABAFInaW8bqrr+BZaBD7ad63cCvO5ZzkKpY4gGAKBK1t4yVmZmWMx2WSop/Omykbh5UxHIOUhYBCgBEkYi9ZToNQ2+1fG7q3DXHjuiJA3tNVe0Mi7CBH5BqCFAAIIrA3jKzdtTJI4UECrGU7FptsLay6VCvwQkJsEhH5KAAgAl27S0TKSk2HI/OBh+97akjScc6OlTizSEBFmmFGRQAMCnevWWsNFgLXHGWr8TUHjuxlB4DbkaAAiDtJLIdfTx7y1hpsDb0b7kkBX37mQpQrCboAm5HgAIgrbilHX04Zmc5Fo38ipaUjlIfj0edhmF7gi6QCshBAZA2Et2OPl5mZzmuKxgYnPEJJOhKOqfvCXvqIJ0RoABIC1abnjkhUK4cKZTw6GyZcM/ZELsSdIFUwhIPgLRgtunZ/Xs+1nUFAx0px7Vartwzl2bnVdeqpq01Ibk1gNsQoABIC2bzO5bt/VTL9n7qWF5KYDbk3DyZ0AZrveXS3OobktQxA07wGIaD850x8vv9ysvLU1tbm3Jzc50eDgAXqG5pVkVdrenzA/MOTi2R9FZpFMil6fmPs9NjBuJl5fnNDAoAx9hZDhytHX1Phs4+8Bc27NK0QUWOLPeEK1eOlkvj5JiBZCJJFoAjVh9t0piaalXU1Wr2R++roq5WY2qqY6606a3aJZLum/G5hZUNBIF0RoACIOkilQMfbG/XzB11uqdhl6pbmi1X3ESqdonGTV1YzY7FTWMGEoEABUBSmWn3/tsDe2OeUZk+2KfdZVO1dsIkLRr5FVO/46YurGbH4qYxA4lAgAIgqay0e4+1wVogv2NJ6aiY+o44KdZeKXbrNAxVtzTrlabDMc1mAfEiQAGQVFaWJuJtsJaKXVjdMGa784OAWBCgAIiblW/bVpcm4k0KTcUurE6O2e3bBSBzUGYMIC5WN+ezWg4cEE9S6PTBPk0bVJSwHY4TwYkxU+IMNyFAARCzSA3FAt+2w33b763de2/iTQqN1HfEzZI9Zislzql2L5F6WOIBEJN4NuezUg7sxkTWdEWJM9yEAAVATKxszhcuL6V7OfBPh42UlDqJrOmKEme4CQEKgJhY2ZwvUhVIYAnjkdFj9XKKJbKmI7eUOAMSOSgAYmT1W3RveSlSaiayppve8oOYzUKyMYMCICbRvm33ZKanSWBG5VbfEE0tKORB6IBULMtGemIGBUBMYqnGyZQqEDt3aXYCs1lwg4TMoBw8eFDf//73NXDgQPXv31+XXnqptm7dGnzfMAwtXbpUQ4YMUf/+/VVeXq6GhoZEDAVAL+JtZ+6Wzfnc1JY9XbqwMpsFp9k+g9LS0qJrrrlG1113nf785z9r8ODBamhoUEHBl0lVDz/8sJYvX64XXnhBpaWlWrJkiSoqKvTRRx8pJyfH7iEBCMNqg7VIun/bfqvlcy3b+2nU37GzCsSuz2HXWKz2hQEQnscw7P2qsWjRIr399tv6y1/+EvZ9wzBUUlKiBQsWaOHChZKktrY2+Xw+Pf/885o5c2bUv+H3+5WXl6e2tjbl5ubaOXwgI0R6kAa+I8f6IO00DI2pqY7YJdajs7kM9WXX2vKNPFGfIxaBzx6p9Nruzw6kIivPb9uXeF5//XVNnDhR3/3ud1VUVKTLL79czzzzTPD9PXv2qLGxUeXl5cFjeXl5mjx5smpqasJes729XX6/P+QFIDbxNFiLJpkb3SXyc8TCShfWdOam5TakNtsDlE8//VRPPfWURo8erbVr1+onP/mJfvazn+mFF16QJDU2NkqSfL7QbzU+ny/4Xk9VVVXKy8sLvoYPH273sIGMkegHabKqQNwWENCFNX3yb+AOtuegdHV1aeLEiXrooYckSZdffrl27NihFStWaPbs2TFdc/HixZo/f37wZ7/fT5ACxCgZD1I7q0B6VsSU5eWrpq1Vq46G/0LTU7ICgkzvwkr+Dexme4AyZMgQXXzxxSHHxo0bp//4j/+QJBUXF0uSmpqaNGTIkOA5TU1NmjBhQthrer1eeS1WCQAIL1kPUjs2uguXAJslqcvCNZIVEETbpTmQg5KOXVjZBRmJYPsSzzXXXKP6+vqQY7t379bIkWf32igtLVVxcbHWr18ffN/v92vz5s0qKyuzezgAerCjnXky8gwC38h7LuOYDU6S3ZY9mfk3buO25TakB9tnUO6++25dffXVeuihh/S9731PW7Zs0dNPP62nn35akuTxeDRv3jw98MADGj16dLDMuKSkRNOnT7d7OAB6iLedeTLKenv7Rm6GUwFBIP/m3PuTo0dHj03bJQ7yb5AItgcokyZN0qpVq7R48WL967/+q0pLS/XrX/9alZWVwXPuvfdenTx5UnfeeadaW1s1ZcoUvfnmm/RAAZIk1gdpsvIMon0jj8bJgCATu7Bmev4NEsP2PijJQB8UwB5WWrIns8/HK02HNfuj9y3/3o+HDte3BxcnNSAwcw9TvfV9NMnuf4PUZeX5zV48QAazkshqJc8g3uTYWL9pf3twcVx/22ogYWa5y02dbhOFXZCRCAQoAExJZp5BtIqYnmKpkOkZjHzecVr3fLzLdCBhZrlLUsaU3mZq/g0ShwAFgCnJzDOwslNyLN/Qw81qhBMpkDBTVrtg907JE37s6Vp6m4n5N0ichOxmDCD92FGebEWkjrR9epxntUNtpPLlcCK1zDez3HXwdHtGlt6yCzLswgwKkEHiSdZ0Is8g3DfyQCfZWD5DLOXL4XJr7CyXpfQWCI8ABbCJ2ys17EjWdCLPIFwib6yJsPGUL3cPJOwsl6X0FgiPAAWwgdsrNezsX5LKeQbxzFZ0DyTMtLUvyfZKHmVk63vADuSgAHGKlNMQePg7vZNrtIRO6dwci2hSNc8gltmKcLk1ZtraPzZmXMa2vgfsQIACxCERD3+7sU/Kl6Il+vbUWyARKYm3e9KumXMAhMcSDxCHZDYvsyqQE7PqaKOp8zMhWdNK+bJ0dpnmRyXD1N7VpeqW5nOWsswsd6XykhjgJAIUIA5u3STNbJ+P7jIlWTNSou8wb44eHvVVDeyXrcbT7fr4i5N69vAB3f/ZJ8FzwuUVmenGa6VjL4CzCFCAOLhxk7RICbGRZGKyZrRZjdVHm/TAZ59kRAdYwK0IUIA4mKnmSObD32qfj0xO1ow0q2GmS2y6dYAF3IgkWSAOZqo5kvnwt9rng2TNc5FUDLgDMyhAnNy0SZrZXJcfDx2ubw8uJlkzDLfmFQGZhgAFsIFbKjXM5rp8e3AxSZsRuDGvCMhEBCiATdxQqeG2nJhUxD0E3IEcFCCNuC0nJhVxDwF3IEAB0gzdS+PHPQSc5zEMB3twx8jv9ysvL09tbW3Kzc11ejiAK7l9d+VUwD0E7GXl+U0OCpCm3JATk+q4h4BzWOIBAACuwwwKgBAsawBwAwIUAEHhNhkMt0EeACQaSzwAJH25yWDPNu+BDfJWH21yaGQAMhEBCoCoG+RJZzfI60y9oj8AKYoABQAb5AFwHQIUAGyQB8B1SJIFksitFTJskAfAbQhQgCRxc4UMG+QBcBuWeIAkcHuFTDI2yOs0DFW3NOuVpsOqbmkm4RZAr5hBARIksJxzqP2U7vl4V8QKGY/OVshMG1Tk6HJPYIO8c2d5cvTo6LFxzfK4efYIgDuxWSAyXiLyQsI9kKN5+KKvas7wkY7npNh9PwKzRz3/oQlckd2Bgcxh5flNgIKMlohv9pEeyGak26xCp2FoTE11xEAtkNtSX3at44EZgMSz8vwmBwUZKxF5Ib01PDPDLTkpdqG/CoBYEaAgIyWqc2q0B3I06da1lf4qAGJFgIKMlKhv9nY8aNNpVoH+KgBiRYCCjJSob/Z2PmjTYVYh0F8lUnaJR9Iw+qsACIMABRkpUd/soz2QJSm3Tx/b/7Zbe4wko78KgPREgIKMlKhv9tEeyB5JK8aOt/Vvrz7apDE11aqoq9Xsj95XRV2txtRUuybRNtBfpcQbGnAN9eZQYgwgIsqMkbECVTySQpJl7ejPEa58eVi3hmd2/e1U6jHi1n2IACQPfVAAk6IFEvGI9kCO92/TYwRAqiFAASxw8pt9PH+7uqVZFXW1Uc9bO2GSphYUxjtUAIibqxq1LVu2TB6PR/PmzQseO3XqlObMmaOBAwfqggsu0IwZM9TU5I71cmSePh6PphYU6lbfEE0tKEzqbEO4v2024ZUeIwDSWUI3C6ytrdW///u/62tf+1rI8bvvvlv/+Z//qVdffVV5eXmaO3eubrnlFr399tuJHA7gelZa79NjBEA6S9gMyokTJ1RZWalnnnlGBQVfViO0tbXp97//vR5//HH9/d//va644go999xz+t///V+98847iRoO4HpWW+/TYwRAOktYgDJnzhzddNNNKi8vDzm+bds2dXR0hBwfO3asRowYoZqamrDXam9vl9/vD3kB6SSW1vv0GAGQzhISoLz88svavn27qqqqznmvsbFR2dnZys/PDznu8/nU2NgY9npVVVXKy8sLvoYPH56IYQOOMdt6/8n9e0OCFHqMAEhXtueg7N+/X3fddZfWrVunnJwcW665ePFizZ8/P/iz3+8nSEFaMZvIeu8n9frNgc9CclKmD/Zp2qAieowASCu2Byjbtm3TkSNH9PWvfz14rLOzUxs3btQTTzyhtWvX6vTp02ptbQ2ZRWlqalJxcXHYa3q9Xnm9JPohfVlJZA3kpHSfIQlUAwFAurB9ief666/XBx98oLq6uuBr4sSJqqysDP53v379tH79+uDv1NfXa9++fSorK7N7OEhjbt1/JhZm9vAJiJSTAgDpxPYZlAEDBmj8+PEhx84//3wNHDgwePz222/X/PnzVVhYqNzcXP30pz9VWVmZrrrqKruHgzRlpRw3FQQSXmftqJNHCpss210gJ2VTawszJwDSkiObBf7bv/2bbr75Zs2YMUPXXnutiouL9dprrzkxFKQgq+W4qSJSwmtvaMIGIF3R6h4pJRP2n+k0DD25f6/u/aQ+6rm0sQeQSlzV6h6wk9ly3E2tLckblM36eDyaM3wkTdgAZDQCFKSUTNl/hiZsADIdAQpSSibtP0MTNgCZLKGbBQJ2C5TjHmpvD1vpEshBSZelD5qwAchUBChIKb2V46br0ofTTdg6DYMACUDSEaAg5QSWPs7tg5KjR0ePZenDRunWbwZA6qDMGCmLb/aJFeg30/MfiMAdJg8GgFVWnt/MoCBlOb30kc46DUMLGnaGzfMxdDZIWdiwS9MGFREUAkgIqniQNtJpbx6nZUK/GQDuxgwK0kKkXIlHRo3VwH7ZLANZlCn9ZgC4FwEKUl6kXImD7e36Px++F3KMBE9zMqnfDAB3YokHKa23XIlwUn1DwWQJ9Juh1T4ApxCgIKVFy5XoKRDILGzYRY5KL2i1D8BpBChIabHkQJDgaQ6t9gE4iRwUpIRIPU/iyYF4q+VzkmajoNU+AKcQoMD1eutmOm1QUa978/Rm2d5P9f8aD5I0GwX9ZgA4gSUeuFqgQqdnnkkg2fWNY0ci5kqYQdIsALgTAQokubPJWbRuptKX3UzD5UqYQdIsALgTSzxw7YZwVrqZhsuV+LzjtO75eFfUKp/u14m0lMG+PwCQXAQoGS5Sk7PA0oeT1RpWu5mGy5X41mCf7t/zsZbt/TTmv+fWAA4A0hlLPBnM7BKKU0sfdnQz7ePx6LqCgTFfJ1oODLkrAJAYBCgZzO0bwtnVzTTW67g9gAOAdEaAksHcviGcXd1MY72O2wM4AEhnBCgZLBU2hLOrm2ks13FzAOfGqisAsBNJshkssPQRqcmZR2cf4IGlD6cqWezqZmr1Om4N4EjaBZAJCFAyUPdA40dDhumBzz6RRwoJUnoufTj9ULSrm6mV61gN4JLBzVVXAGAnApQMEy7QKOzbV5JHzWc6gseGenP06Oixmj7Yl7EPxUDuyqwddVEDuGSIlrTr0ZeN6+jRAiDVEaBkkEiBRsuZMzIkLbnwIo067/yQpY9MfygGclfOnT36MoBLFitJu+ydAyDVEaBkCDOBxnOHD6q+7NqQQIOHont29HVz0i4A2I0AJUPEGmjwUDzLDTv6ujVpFwASgQAlQ8QaaCTjoZiK+9w4MWY3Ju0CQKIQoGSIWAONRD8Una4OioVTY3Zb0i4AJBKN2lKc2YZdsbZ7t6ubazipuM+N02O2q3EdALidxzBSrwWl3+9XXl6e2tralJub6/RwHGP1m3zg4SqF//bd2wMu3N8aFkclS6dhaExNdcS8mMDMTM+k3WSItHzjpjGn4rIYAFh5fhOguFhvD6FIJcPRgo14Ag07H4rVLc2qqKuNet7aCZOSmpzaW9BX0LefK8cMAKnCyvObHBSX6u1BOW1QUcy9SeIpmTVTyWI2iHFjdVC0hnRzh400dZ10r2gCgGQgQHGhaA/K/3vhRXH1JklUyayVJSe3lcya6ROzsumQqWtR5gsA8SNJ1mWiPSgl6ckD+0xdK55v8lZ3y7WaPBpr0m6imOkTc6yjQ4P69XPNmAEgnRGguIyZB2X3PXN6E+s3+dVHmzSmploVdbWa/dH7qqir1Zia6ogVKmaCqoUNu0KCnERWB8XCbDA3y1ciyR1jBoB0RoDiMmYflAV9E/NNPpYyWitdartzU8ms2WDu5kFFrhkzAKQzclBcxuyDcu6wEXrgs09sbdgV68aA8SS8umWfGysN6fp4PK4YMwCkM2ZQXCZaboYkFfbtp6vzCvTiJZfZ+k0+1pmQeBNeA0m7t/qGaGpBoSMPeqtLTm4YMwCkM2ZQXKa3duYBzWc69I33tmqo16tHRo3VwH7ZtnyTj3UmJF32iAksOZ1biRR7QzoAQGxsn0GpqqrSpEmTNGDAABUVFWn69Omqr68POefUqVOaM2eOBg4cqAsuuEAzZsxQU5P72po7JVJuRk+H2ttV+eF7ajnTYcs3+VhnQtyW8BqP6YN92l02VWsnTNILF39NaydMUn3ZtQQnAJBktgco1dXVmjNnjt555x2tW7dOHR0d+od/+AedPHkyeM7dd9+tN954Q6+++qqqq6t16NAh3XLLLXYPxTFWS3TDCTwo/+uyiSro2y/sOZEqZGIVT+mvmxJe48XyDQA4L+Gt7o8ePaqioiJVV1fr2muvVVtbmwYPHqyXXnpJ3/nOdyRJu3bt0rhx41RTU6Orrroq6jXd3Oo+XLOykuxs3V4yXKPOO9/yMkyyW8LHs1+PxB4xAIDIXNXqvq2tTZJUWHj24blt2zZ1dHSovLw8eM7YsWM1YsSIiAFKe3u72rs98P1+f4JHHZuIHWBPn9b9n30S/Lm3Df16SnZL+HjzMBLVpRYAkFkSGqB0dXVp3rx5uuaaazR+/HhJUmNjo7Kzs5Wfnx9yrs/nU2NjY9jrVFVV6Ze//GUihxq33kp0ewr0FDGz9OFES3i3lP4CADJXQsuM58yZox07dujll1+O6zqLFy9WW1tb8LV//36bRmifaCW63VnJHXGqJTx5GAAAJyUsQJk7d67WrFmjt956S8OGDQseLy4u1unTp9Xa2hpyflNTk4qLi8Ney+v1Kjc3N+TlNlaXWCL1FOkpnSpkAAAwy/YAxTAMzZ07V6tWrdKGDRtUWloa8v4VV1yhfv36af369cFj9fX12rdvn8rKyuweTtLEusRiJrBJpwoZAADMsD0HZc6cOXrppZf0pz/9SQMGDAjmleTl5al///7Ky8vT7bffrvnz56uwsFC5ubn66U9/qrKyMlMVPG4VrVlZJGYDm1TNC6GqBwAQC9vLjD0RHj7PPfecfvjDH0o626htwYIFWrlypdrb21VRUaHf/e53EZd4enJrmXGkEt1wAt1V68uuTdsHdriSaysVTACA9GLl+Z3wPiiJ4NYARQr/UO7JbE8RuzgxixGp5DrZnx0A4B6u6oOSaXouxXz8xUk9e/iAY3u7ODGLEeuuyAAABBCgdGPXTEPPZmWLLrzIkTyMiI3jLPRhiYWVXZFp6gYACIcA5W8SOdPgRHdVJ2cx7Oh+S3ItAGQ2AhQ5N9OQSMmYxYgURMTb/ZbkWgBAxgco6Zovkeg9fHoLIqYNKopacj2oXz8daj+l6pbmkNmRdAwWAQDWJbTVfSqwMtOQShK5h08giOh53wJBxBvHjkTsfhtwrKNDt+38QBV1tRpTU63VR5uiBouSue0BAACpL+MDlGTvFpwsidrDx2wQMW1QUdjut+EEAptln32SlsEiAMC6jA9QnNgtOBkStYePlRmn6YN92l02VWsnTNJz4y7VoH79Iv6OJD15YJ+pMaRasAgAsC7jAxSndgtOhkTs4WN1xilQwVTizdGxjo6I5xuSms9Efr+7VAsWAQDWZXySbGCmYdaOOnkU2qI+HXYLtnsPn1hnnMwGNgV9+6n1TEfYJaTA9gCpGCwCAKzJ+BkUKf13Cw7MYtzqG6KpBYVxBVuxzjiZDWzmDhsRvE7P60qpHSwCAMzL+BmUgFTdLTjZYp1xirbbc2B2ZNGFF+mSCwaEKWFO3vYAAADnsVkgYhKuD8qwKEFEpN2ew20gSCdZAEg/7GaMpIgliIglsAEApAd2M0ZSxLLHEEtpAAAzCFCQdE5snggASC1U8QAAANchQAEAAK5DgAIAAFyHAAUAALgOSbIOoc8HAACREaA4IFwvkKFerx4bPY5eIAAAiCWepAt0U+0enEjSofZ2zdpRp9VHmxwaGQAA7kGAkkSdhqEFDTvD7kUTOLawYZc6U6+5LwAAtiJASaJNrS3nzJx0Z0g60H5Km1pbkjcoAABciAAliRpPRw5OYjkPAIB0RYCSRMXZXlvPAwAgXRGgJNGU/AIN9XoVqZjYo7M7+07JL0jmsAAAcB0ClCTq4/HosdHjJOmcICXw86Ojx9IPBQCQ8QhQkmz6YJ9Wjp+gEm/oMs5Qb45Wjp9AHxQAAESjtrjF0hF2+mCfpg0qSkgnWTrUAgDSAQFKHOLpCNvH49HUgkLXjAcAADdhiSdGbusI67bxAAAQDwKUGLitI6zbxgMAQLwIUGLgto6wbhsPAADxIkCJgds6wrptPAAAxIsk2RgkoiNsPNU3dKgFAKQbApQYBDrCHmpvD5v34dHZviZmO8LGW31j93gAAHAaSzwxsLMjrB3VN3SoBQCkGwKUGNnREdbO6hs61AIA0glLPHGItyOsleobM03dEtmhFgCAZCJAiVM8HWETUX2TiA61AAAkG0s8DqL6BgCA8BwNUJ588kldeOGFysnJ0eTJk7VlyxYnh5N0geqbSAswHknDqL4BAGQgxwKUV155RfPnz9cvfvELbd++XZdddpkqKip05MgRp4aUdFTfAAAQnmMByuOPP6477rhDt912my6++GKtWLFC5513np599lmnhnSOTsNQdUuzXmk6rOqW5oTsZUP1DQAA53IkSfb06dPatm2bFi9eHDyWlZWl8vJy1dTUODGkc8TbPM0Kqm8AAAjlSIBy7NgxdXZ2yucLfdD7fD7t2rXrnPPb29vV3i1Q8Pv9CR1foHlaz/mSQPO0RMxsUH0DAMCXUqKKp6qqSnl5ecHX8OHDE/a37GyeBgAAYuNIgDJo0CD16dNHTU2hbdybmppUXFx8zvmLFy9WW1tb8LV///6Ejc1K8zQAAJAYjgQo2dnZuuKKK7R+/frgsa6uLq1fv15lZWXnnO/1epWbmxvySpRENE8DAADWONZJdv78+Zo9e7YmTpyoK6+8Ur/+9a918uRJ3XbbbU4NSRLN0wAAcAPHApRbb71VR48e1dKlS9XY2KgJEybozTffPCdxNtkCzdMOtbeHzUPx6GwJMM3TAABIHI9hpF62p9/vV15entra2hKy3BOo4pEUEqQEin7pTwIAgHVWnt8pUcWTbDRPAwDAWexmHAHN0wAAcA4BSi9ongYAgDMIUCzqNAxmVQAASDACFAuSuT8PAACZjCRZkwKVPT27zAb251l9tCnCbwIAAKsIUExgfx4AAJKLAMUE9ucBACC5CFBMYH8eAACSiwDFBPbnAQAguQhQTAjszxOpmNgjaRj78wAAYBsCFBP6eDx6bPQ4STonSAn8/OjosfRDAQDAJgQoJrE/DwAAyUOjNgvYnwcAgOQgQLGI/XkAAEg8lngAAIDrEKAAAADXIUABAACuQ4ACAABchwAFAAC4DgEKAABwHQIUAADgOgQoAADAdQhQAACA66RkJ1nDMCRJfr/f4ZEAAACzAs/twHO8NykZoBw/flySNHz4cIdHAgAArDp+/Ljy8vJ6PcdjmAljXKarq0uHDh3SgAED5LF5oz6/36/hw4dr//79ys3NtfXa+BL3OTm4z8nBfU4O7nPyJOpeG4ah48ePq6SkRFlZvWeZpOQMSlZWloYNG5bQv5Gbm8v/AZKA+5wc3Ofk4D4nB/c5eRJxr6PNnASQJAsAAFyHAAUAALgOAUoPXq9Xv/jFL+T1ep0eSlrjPicH9zk5uM/JwX1OHjfc65RMkgUAAOmNGRQAAOA6BCgAAMB1CFAAAIDrEKAAAADXIUDp5sknn9SFF16onJwcTZ48WVu2bHF6SCmtqqpKkyZN0oABA1RUVKTp06ervr4+5JxTp05pzpw5GjhwoC644ALNmDFDTU1NDo04PSxbtkwej0fz5s0LHuM+2+PgwYP6/ve/r4EDB6p///669NJLtXXr1uD7hmFo6dKlGjJkiPr376/y8nI1NDQ4OOLU1NnZqSVLlqi0tFT9+/fXRRddpPvvvz9k/xbutXUbN27UtGnTVFJSIo/Ho9WrV4e8b+aeNjc3q7KyUrm5ucrPz9ftt9+uEydOJGbABgzDMIyXX37ZyM7ONp599lnjww8/NO644w4jPz/faGpqcnpoKauiosJ47rnnjB07dhh1dXXGjTfeaIwYMcI4ceJE8Jwf//jHxvDhw43169cbW7duNa666irj6quvdnDUqW3Lli3GhRdeaHzta18z7rrrruBx7nP8mpubjZEjRxo//OEPjc2bNxuffvqpsXbtWuPjjz8OnrNs2TIjLy/PWL16tfHee+8Z3/zmN43S0lLjr3/9q4MjTz0PPvigMXDgQGPNmjXGnj17jFdffdW44IILjN/85jfBc7jX1v3Xf/2X8fOf/9x47bXXDEnGqlWrQt43c09vuOEG47LLLjPeeecd4y9/+YsxatQoY9asWQkZLwHK31x55ZXGnDlzgj93dnYaJSUlRlVVlYOjSi9HjhwxJBnV1dWGYRhGa2ur0a9fP+PVV18NnrNz505DklFTU+PUMFPW8ePHjdGjRxvr1q0zpk6dGgxQuM/2uO+++4wpU6ZEfL+rq8soLi42HnnkkeCx1tZWw+v1GitXrkzGENPGTTfdZPzoRz8KOXbLLbcYlZWVhmFwr+3QM0Axc08/+ugjQ5JRW1sbPOfPf/6z4fF4jIMHD9o+RpZ4JJ0+fVrbtm1TeXl58FhWVpbKy8tVU1Pj4MjSS1tbmySpsLBQkrRt2zZ1dHSE3PexY8dqxIgR3PcYzJkzRzfddFPI/ZS4z3Z5/fXXNXHiRH33u99VUVGRLr/8cj3zzDPB9/fs2aPGxsaQ+5yXl6fJkydzny26+uqrtX79eu3evVuS9N5772nTpk36xje+IYl7nQhm7mlNTY3y8/M1ceLE4Dnl5eXKysrS5s2bbR9TSm4WaLdjx46ps7NTPp8v5LjP59OuXbscGlV66erq0rx583TNNddo/PjxkqTGxkZlZ2crPz8/5Fyfz6fGxkYHRpm6Xn75ZW3fvl21tbXnvMd9tsenn36qp556SvPnz9c///M/q7a2Vj/72c+UnZ2t2bNnB+9luH9HuM/WLFq0SH6/X2PHjlWfPn3U2dmpBx98UJWVlZLEvU4AM/e0sbFRRUVFIe/37dtXhYWFCbnvBChIijlz5mjHjh3atGmT00NJO/v379ddd92ldevWKScnx+nhpK2uri5NnDhRDz30kCTp8ssv144dO7RixQrNnj3b4dGllz/+8Y968cUX9dJLL+mSSy5RXV2d5s2bp5KSEu51BmGJR9KgQYPUp0+fc6oampqaVFxc7NCo0sfcuXO1Zs0avfXWWxo2bFjweHFxsU6fPq3W1taQ87nv1mzbtk1HjhzR17/+dfXt21d9+/ZVdXW1li9frr59+8rn83GfbTBkyBBdfPHFIcfGjRunffv2SVLwXvLvSPzuueceLVq0SDNnztSll16qf/zHf9Tdd9+tqqoqSdzrRDBzT4uLi3XkyJGQ98+cOaPm5uaE3HcCFEnZ2dm64oortH79+uCxrq4urV+/XmVlZQ6OLLUZhqG5c+dq1apV2rBhg0pLS0Pev+KKK9SvX7+Q+15fX699+/Zx3y24/vrr9cEHH6iuri74mjhxoiorK4P/zX2O3zXXXHNOmfzu3bs1cuRISVJpaamKi4tD7rPf79fmzZu5zxZ98cUXysoKfTz16dNHXV1dkrjXiWDmnpaVlam1tVXbtm0LnrNhwwZ1dXVp8uTJ9g/K9rTbFPXyyy8bXq/XeP75542PPvrIuPPOO438/HyjsbHR6aGlrJ/85CdGXl6e8T//8z/G4cOHg68vvvgieM6Pf/xjY8SIEcaGDRuMrVu3GmVlZUZZWZmDo04P3at4DIP7bIctW7YYffv2NR588EGjoaHBePHFF43zzjvP+MMf/hA8Z9myZUZ+fr7xpz/9yXj//feNb33rW5S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cQSEiIrJjpBb1rs5GWITADn0jHqutQuOlviT/GhuPLTl5yB0XJsmYne134g99URigEBER2eHKbMS8mNhhz3XQaMDq6gp8ZWwHAEwIDcWW7DzcFJcAlYRLLc72O/GHvigMUIiIiC5jTTb9oNn+/nCDDTcbca7HhA111Xiz8SwEgDC1GmvHT8B9aRnQBEifZWHti9JgMtmd+VGhv7TZH/qiMEAhIiK6xF5C7EjszUb0WizYfvY0Np6shaGvDwCwRJuETVm5SNaEDDleKta+KEuOlUEFDAhSrPM0W3Lyhl2SkrNiyRUMUIiIiPBtQqyzvTcczUb8vfU81lRXoOJCFwBgRngktubk4RovzVpYm8INrTxyr5+Kr/qnMEAhIqIxb7iEWHvszUbUXbyAtTWV+Ov5/g1x44OC8MsJuViWlOL1GYiFCVosiE90aSbEUYBmrVjydv8UBihERDTmjZQQO9jlsxFd5j48e+oEflN/EiaLBWqVCr9IScejGVmIdmETQKmpVaoRk3etpK5YkgIDFCIikoxS8hdc5WzZ7d0pafhhgg5zo2MQAODP+kasq63CWVM3AOB7MXHYkpOHSWHhMo5WelJWLEmFAQoREUlCSfkLrnK27PaHCTrMi4nFkQ4jiqor8IWhv+HZ+JBQPJc9EQviEyUtG/YWJfZPYYBCREQeU1r+givMQsAsBGICg9DW12v3GGtCbH5YGO6rPI7fN9TDAiA0IAAPjp+AB9IyEKpWe3XcUlJi/xQGKERE5BFv5C/ItXTkTFmxtVz3X2LjMG3fXrRdKhv+SaIOm7JykR4S6vE4fE2J/VMYoBARkUfkzl+Qa+nI2bLiuKAgjAtQ4w+NZwEAU8PCsTUnH9d7KRfDG6TonyI1bhZIREQekTN/QY7N+gDnyoqj1IG4LioG53t7cdrUjdjAIDyfm4+SWQWjKjixsvZPSdYMXMZJ0YT4ZImOMyhEROQRufIXRlo6AoCVld/gotmM5EvLD85+w3emrNhg7sPnhjYEAFiekoYNmdmICwp26TP4G3f6p8iFAQoREXlErvwFZ4KI8729uL38KADXln2cnc3JGxeG/548DVPDI5w6fjRwpX+KnLjEQ0REHrHmLwDf5itYeZK/4OqSkL1lH7MQKG5rxbv6RhS3tcIs+kMoZ2dzfpOTP6aCEyXhDAoREXnMk/1fHHF1SWhwxdCH5885TK5dEJ+IFI1m2BmaVE0IrlPATMJYpRJCOLv1gGIYjUZERUXBYDAgMjLS18MhIqJLpCwHNguB3JJih0tHw1mfkYWNJ2uHvM46krcmT8Oethb8vuHMkNdaj1Fy7xZ/5cr9mwEKEREplrWKB4BLQcpwTdcAIEilQu+l21+gSoW+y26FqR7M+tDwXLl/c4mHiIgUy9HS0UiGC04AoFcIhAWo8cusHNyZlIp9RoPPq1a8wZ/2SmKAQkREinZ56WuDqRsP1lSgpbfXYcVQTGAQWkcIUADgmeyJWJ6SBgCKqFqRm7/tlcQqHiIiUjxr6esSXTJenDgZgOOKoRWp6U6dM3dcmHQDVDi5Gt7JiQEKERH5lZE6nq7NyEJiUJDD16vQn2fizX1lfMmZhndrqitsJdhKwSUeIiLyO446nnaZzXi0tgotvY53JQa8v6+ML8m9V5JcGKAQEZFbfJ1weXnHU4sQ+O+mBqyvrcK53h4AwMyISJwxdUPf02N7jSd9WfyVnHslyYkBChERuUxJCZf7De0oqi7HgQ4jACAndBy25ORhflyCz4MoJZBrryS5MUAhIiKXWBMuB2csWBMuvdXgrNFkwvq6KvypqQEAEKFW49GMbPwiNR3BAf0plkrZV8aX5NorSW5MkiUiIqcpIeGyx2LBttMncMW+z23ByW26ZBydcx1WpWfYghPqJ9deSXLjP0UiInKaKwmXcvikpRkz93+BR2qr0GE2Y3ZEFD67cg5ey58KnUZZSxRKMlLlkxJzcrjEQ0RETjELgX+0tTh1rDXhUqockJoLXXiophJ/a2kGAGiDg/HUhFz8TJeMAIV981cqR5VPSps5sWKAQkREI7KXFDscXbBGkkTajr4+/OpUHZ6vP4leIRCoUuHe1PFYl5GFyEDewlzlTzk5/KdLRETDcpQUa4814bKltwdLvznidiKtEAI79I14tLYKjZdmY/41Nh5bcvLGVAfYsYwBChEROTRcUuxg1oWCZ7Mn4sGaCoeJtCr0J9IuiE+0u7xw0GjA6uoKfGVsBwBMCA3Fluw83BSXAJVClyNIegxQiGhY7CMxto2UFHs5axO0mMAgtzqXnusxYUNdNd5sPAsBIEytxsPjJ+D+tAxoWJkz5jBAISKHlNSMi3zD2e6ia8dPwPrMbKhVKryrb3Tp3L0WC7afPY2NJ2th6OsDACzWJmFTVi5SNCHuDdwBBtz+gwEKEdmllGZc5FvOdhf9bkyc7UbvSufSv7eex5rqClRc6AIAzAiPxNacPFwjQ9MwBtz+hXNmRDSEEppxkTJYu5A6mmOwtzOwM6/RBQfjxTOn8G9HDqLiQhfig4Lw4sRJ2DvralwTHQOzEChua8W7+kYUt7V6/O+aNeAevPRkDbh3Nus9Oj9JjwEKEQ3h62ZcpBzudCEd7jVA/78/Lb29+PD8OahVKqxMTcfROdfh/yWnQa1SYWezHrklxZhfVoplx7/G/LJS5JYUux1E+CrgljrIGmsYoBDREP66+ynJw50upI5eo770v71C4LsxsSidfQ225OQjJigIgDwzHb4IuKUOssYiyQMUs9mM9evXIzMzE6GhocjKysJTTz0FcVnkKITAhg0bkJSUhNDQUBQWFqK6ulrqoRCRm/x191OSz8IELaoK5uGT6bPx5qQr8Mn02agsuH7Y3A3ra16eOBkTL/UuMQMYHxKKd6dMx9+mzcKksHDb8XLNdMgRcA83O8LlJGlIniT7q1/9Cq+88grefPNNTJ48GQcOHMDtt9+OqKgo3HfffQCAZ599Fi+88ALefPNNZGZmYv369Zg/fz6OHz+OkBBpM7aJyHX+uvspycvVLqQtvT14sq4Gv2+ohwVAaEAAHhw/AQ+kZSBUrR5yvCszHa6MQ+qAe7hk2wXxicMGWSP1gKFvSR6gfPnll/jBD36AW265BQCQkZGBHTt2YP/+/QD6Z09+85vf4LHHHsMPfvADAMAf//hHaLVa7Ny5E4sXL5Z6SETkImsOwZJjZVABA/7YKnn3U1KGPosFv284gydPVKPtUtnwjxN1eDorF+khoQ5fJ9fSopQB90jVbY9lZMkSZI1Fki/xXHPNNdi9ezeqqqoAAEeOHMHevXtx0003AQBOnDiBpqYmFBYW2l4TFRWFOXPmoKSkxO45TSYTjEbjgB8ikpc/7n5Kvlfc1oqrD5RgVXU52vr6MDUsHP83fTb+NHnasMEJIN/SojuJvvY4swT10pnTTo2J+Vsjk3wGZe3atTAajcjLy4NarYbZbMamTZuwdOlSAEBTUxMAQKsd+MdNq9Xanhts8+bNePLJJ6UeKhGNwN92PyXfOd19EetqKvE/l/IrYgOD8MSEbNyRlIpAJ7vAyrm0aA24hy7N9He/dSbgdmYJqrWv16nxMH9rZJIHKH/+85/x1ltv4e2338bkyZNRVlaGVatWITk5GcuWLXPrnOvWrUNRUZHtd6PRiLS0NKmGTETD8KfdT8n7LprN2Hb6BLacPoGLFgsCACxPScOGzGzEBQW7dC65lxY9DbidnfWICQxCe18v87c8JHmA8uCDD2Lt2rW2XJKpU6fi1KlT2Lx5M5YtWwadTgcA0Ov1SEpKsr1Or9dj+vTpds+p0Wig0TDaJCJSCiEEdjbr8XBtJU53dwMA5kbFYFtuHq4Ij3T7vFLMdAzHk4Db2VmPlanp2HiylvlbHpI8QLlw4QICBk3nqdVqWCwWAEBmZiZ0Oh12795tC0iMRiP27duHe+65R+rhEBGRxI53daKoqhz/bG8F0B88/Cp7IhYlaCXZbVipS4vOLkGtzcjC5PAI2YKssULyAGXBggXYtGkT0tPTMXnyZBw+fBjbtm3DHXfcAQBQqVRYtWoVNm7ciJycHFuZcXJyMhYuXCj1cIiISCLtvb146mQNtp+th1kIaAICUJSWgTXjMxGmlvZ2osSlRVeWoJQaZPkTlRDS9t7t6OjA+vXr8cEHH+DcuXNITk7GkiVLsGHDBgQH969HCiHw+OOP49VXX0V7ezvmzp2Ll19+Gbm5uU69h9FoRFRUFAwGAyIj3Z9KJCKikZmFwBuNZ/B4XTXO9/YngS5MSMTmrInIDB3n49F5n70+KKmcHXGKK/dvyQMUb2CAQkTkHV+2t6GouhxlnR0AgPxxYdiSk48bYuN8PDLfMgvB2RE3uHL/lnyJh4iI/N9ZUzcera3CO/pGAEBUYCDWZ2TjP1PSEORk2fBopsQlqNGGAQoREdl0m8144cwp/OpUHbrMZqgA3J6Uiicn5CAh2LWyYSJPMEAhIlIAXy8ZCCHwvy3NeKimAnUXLwIAJoWF46eJOhRExSD20m7DRN7CAIWIyMeG23zOG0mXlV2dWFNTgU9bWwD0NxoDBI53deKJEzVeHw8RIMNePERE5Dzr5nODW6hbN5/beal1vBwMfb1YW1OJmaVf4tPWFgSrVPhBfCLa+nptm/x5czxEl2OAQkTkgFkIFLe14l19I4rbWmGWuOjRmc3n1lRXSP6+FiHwZuNZXLFvL35TfxJ9QuCWuAQcmH0tDnQY7L5GzvEQ2cMlHqIxzNd5D0rmjWUXZzafO2Pqxt72NskqRvYb2lFUXY4DHf27wueEjsOWnDzMj0tAcVur18dD5AgDFKIxytd5D0pmXXYZPE9gXebYMWW6JNfI2c3nnD1uOI0mE9bXVeFPTQ0AgAi1GusysrAydTyCL5UNe3M8RCNhgEI0BnnrBqxkjmaPRlp2UaF/mWNBfKLHs03Obj7n7HH29FgseOnMKTx9shYdZjMA4DZdMp6akAvdoE1YvTEeImcxQCEaY7x5A1aq4WaPYgKDvLbM4ezmc3OjY9w6/yctzVhTXYHqixcAALMiIrEtJx9XRUX7ZDxErmCSLNEY40rew2g0UtXMrvPnnDqPFMsc1s3ngG83m7MavPmcK2ovdOFHXx/CD74+hOqLF5AYFIzf5U3BZzOvdhicyDkeIncwQCEaY8ZynoEzVTM79A1OnUuqZY6FCVrsmDIdyYOWW1I0IS4vtXX29eGx2irM2P8F/tbSjECVCqvSMnD06rlYlpSCgEuBxXDVSVKOh8gTXOIhGmN8lWeghIohZ2aPzvf2Ij4oCC29vV5b5liYoMWC+ES3r48QAjv0jXistgoNlwLLf4mNw5bsPEwMCx9wrDPJ0Z6Oh0gKDFCIxhhf5BkopWLI2VmhJdpkvHjmFFTAgGsk5zKHu5vPHeowoKiqAl8Z2wEAE0JD8Vx2Hm6OS4Bq0BhdSY7mZnjka1ziIRpjvJ1n4MtOqYM5Oyv0b/GJil/maO7pwS8qvsG1B77CV8Z2hKnVeGpCDg5fNRe3xCcOCU581RSOyF2cQSEag6x5BkNnNUKwJSdPshuw0iqGXJk9UqtUilzm6LVYsP3saWw8WQvDpXb034uJxYJ4LSaFhSPQwfh80RSOyBMMUIjGKG/kGSjtpmidPVpyrMyp5RulLXPsbm3BmupylF/oAgBkhoSiw9yHPW2t2NPWCsDx0tlYTo4m/8QlHqIxzHoDvlWbhHkxsZLPDijxpuiPVSonLl7ArUcP45YjB1B+oQvxQUFYnpyGE90Xcb63d8CxjpbO2ISN/A1nUIhINkq9KXq7SsXdCqYucx+eO3UCv64/CZPFArVKhbtT0rBufBbmHPjS7mscLZ2xCRv5GwYoRCQbJd8UvbV8404FkxAC/9+5JqytrcJZUzcA4DvRsdiWm49JYeFubern6vIWka9xiYeIZDPWO5O6U8H0dacR/3K4FLcd/xpnTd1IDwnBjsnT8NH0WZh0qaeJu0tnSl3eGq5xHI1dnEEhIll5q2JIaVytYGrp7cGTdTX4fUM9LABCAwLw4PgJeCAtA6Fq9YDXe7J0prQmbErpkUPKwwCFiGSntJuiI1J2u3W2gqm4rRXVF7vwRF012i6VDf84UYens3KRHhJq97WeLp3ZW97yRadf7qpNw2GAQkReobSS3cGk/ibv7DLMf1YcQ/2lPJMpYeHYmpM/4nWSOp/EF7MYSuuRQ8rDHBQiGvPk6Hbr7DJMvakbMYGBeD43H1/NKnA6iJMqn8RXnX7H+q7aNDLOoBDRmCbXN/mRlmGs/l9yKp6ckIO4oGAXR+750pkvZzGU2COHlIUzKEQ0psn1Tf7yCiZHfpU1ES9OnOxWcHL5+7jbbM+XsxhK7ZFDysEAhYjGNDm/yS9M0OLZ7InQDAoaYgODsGPyNNyfnuHyOaXky1kM6wyTo3BKBSCVjePGNC7xENGYJtc3+bbeXmw8WYPtZ+thFgJBKhVuikvAnUmpKIyLV0Tipy9nMdg4jkbCAIWIxjSpu92ahcAfGs7g0doqGMz9ZcM/iE/EM9kTkRk6zqWxyV366+tOv2O1Rw45hwEKEY1pUn6T/7K9DXeUH8XJ7osDHj/QYcCRzg6XAhRvlP4qYRbDX3rkkPephPC/nsJGoxFRUVEwGAyIjIz09XCIaBSwFxCkOvlN/qypG4/WVuEdfaPd5623WmfLfx01MHP1PM7y5LMTucKV+zcDFCKiS1xdUjFZLHi+/iR+daoOXWbzsOe2LpdUFlw/7DnNQiC3pNhhdY2z53GVLzrJ0tjjyv2bSzxERJc42+1WCIG/tTTjwZoK1F3sX87JHxeG8gtdjl+DoTsM2+NK6a+UnXmV3umXxh4GKESkaEr7Zl/e1Ynl5cdwoMMAoL/C5emsXAQA+I/yoyO+fqSSXTYwI+rHAIWIFEtJO90a+/pwR/nX2HW+ecDjKgiMU6sRExjk1HlGKtllAzOifmzURkSKYRYCxW2teFffiE0nanyyR8xgFiHwx8azyCkpHhKcAEBTTw+WHCtDS2+PJI3H2MCMqB9nUIhIEezNltjjzZ1uS43tKKqqQOml5ZzhxvNQTSWey87D0m+OeFSyq4TSXyIl4AwKEfmcox11HZF7p9smkwnLy4/iuoP7UNphwLiA4f9UWscTFxQsyQ7DUu1UTOTPOINCRD413I66I5E6UbTHYsHLZ05j08kadFwqG75Nl4xZkVG4v6rcqfHcqk2SpPEYG5jRWMcAhYh8aqSy2uFImSj6fy3NWFNTiapLpcKzIiKxLScfV0VFo7it1aXxSFWyy9JfGssYoBCRT7kzCyLlHjG1F7rwUE0l/relPwE2MSgYv8zKwc91KQi4NFvh6z1riMYiWXJQzp49i5/97GeIi4tDaGgopk6digMHDtieF0Jgw4YNSEpKQmhoKAoLC1FdXS3HUIhI4VydBZEqUbSzrw+P1VZhxv4v8L8tzQhUqbAqLQNHr56L/0hKtQUnwLeJq5e/v9TjIaKBJA9Q2tracO211yIoKAgfffQRjh8/jq1btyIm5ttvFs8++yxeeOEFbN++Hfv27UNYWBjmz5+P7u5uqYdDRAo3UlntYJ4migoh8HZTA67YtxdbTp9AjxD4l9g4HJx9DZ7JnogoB/1MlJC4enkZdnFbK8z+t1MJkdMk34tn7dq1+OKLL/D555/bfV4IgeTkZKxevRpr1qwBABgMBmi1WrzxxhtYvHjxiO/BvXiIRhdrFQ8wtKxWAFifkYXscWEeJ4oe6jCgqKoCXxnbAQCZIaF4NjsP/xafAJWT5/RVZ1slNa0jcpdPNwucNGkS5s+fjzNnzqC4uBgpKSn4xS9+geXLlwMA6urqkJWVhcOHD2P69Om2182bNw/Tp0/H888/P+ScJpMJpsv+ozQajUhLS2OAQjSKyLmjbnNPDx6vq8YfGs9AABgXoMbajAm4L3U8QtRqD0cuP2/vbkwkF59uFlhXV4dXXnkFRUVFeOSRR1BaWor77rsPwcHBWLZsGZqamgAAWu3A/5i0Wq3tucE2b96MJ598UuqhEpGb5JhFkKOsttdiwasN9fjliRoY+voAAD9N1OHprIlIDQnxaLzeMlwZtjeb1hF5m+QBisViwaxZs/D0008DAGbMmIFjx45h+/btWLZsmVvnXLduHYqKimy/W2dQiMj75FxqcKas1tngaE9rC9bUVOB4VycAYHp4BLbm5ONaP6u08dXuxkS+JnmAkpSUhEmTJg14LD8/H//zP/8DANDpdAAAvV6PpKQk2zF6vX7Aks/lNBoNNBpujEXka46WGqz748i91OBMcHTy4kWsra3AzuZzAIC4oCA8OSEHtyel+uUMA3c3prFK8iqea6+9FpWVlQMeq6qqwvjx4wEAmZmZ0Ol02L17t+15o9GIffv2oaCgQOrhEJFERlpqAPqXGuSqLHHUDt8aHL2rb8STddWYvn8vdjafg1qlwi9S0nFsznX4f8lpfhmcANzdmMYuyWdQHnjgAVxzzTV4+umn8dOf/hT79+/Hq6++ildffRUAoFKpsGrVKmzcuBE5OTnIzMzE+vXrkZycjIULF0o9HCKSiC+XGpwJju44/jXMl/7/d6JjsTUnD5PDIyQdh6OxyVnVwyZxNFZJHqDMnj0bH3zwAdatW4df/vKXyMzMxG9+8xssXbrUdsxDDz2Erq4u3HXXXWhvb8fcuXPx8ccfI8RPktaIxiJfLjU40w7fDEAbFIzf5PYv9zhbNuwJb5T+cndjGqskLzP2BvZBIfK+4rZWzC8rHfG4T6bPlnwG5V19I5Yd/3rE417Lm4LbklIkfW9HvF3662wZtq/6tBA5w6dlxkQ0OvlyqcHZ/Ir0kFDJ39seX5T+OlOGzWZuNJowQCEip/hyqWFudAzig4JwvrfX7vPezsOQIh/HnZmO4cqwh6uwWnysTLJuvETewgCFiJxm3Y9m6Ld0aTq+2lPffRGP1FYNG5wA3s3D8DQfR+qZDmeSiJ86WSvJexF5CwMUInKJHB1f7bloNuPX9Sfx3Kk6XLRYEADghtg4HO3sQFNPj+04OYMjRzwp/ZWjl4wzScRSvReRtzBAISKXOdPx1V1CCPzl/Dk8XFOJU90XAQDXRsVgW04epkVEKiIJ1N18HLlyV1ytnGKLfPIHDFCISDGOd3VidXU5/tHWCqB/KWJz1kT8JFFnKxuWMzhylrv5OHL1knGnSRtb5JPSMUAhUhglzBB4W1tvLzaerMH2s/UwCwFNQAAeSMvAg+MzEaaW5s+U1NfVnXwcuXrJjDSjI+V7EXkLAxQiBRlrZaJmIfBm41lsqPs2Cfb78Yl4JnsiJoSOk+x95LqurubjyNW2frgZHanfi8hb2KiNSCG83fjL10oMbSiqqsDhTiMAIG9cGLbk5KEwNl7S91HSdTULgdyS4hFzVyoLrndrdsdeIOaIp+9F5A5X7t+SbxZIRK7z9UZ83tRg6sbtx7/Gdw/tx+FOI6ICA/Fc9kSUzr5G8uBEadfVOtMBfBsgWUlRLr0wQYuqgnn4ZPpsvDnpCqzPyIJKpvcikhuXeIgUwJcb8XmLyWLBC/Un8cypOnSZzVAB+I+kFDw5IQeJMi0zKPG6yt1LZnAS8eTwCK/2rSGSCgMUIgXw5UZ8chNC4G8tzXiwpgJ1F/vLhq+OjMa23DxcGREl63sr9bp6q5eMt9+LSEoMUIgUQI7kSSVUA1Vd6MKa6gr8X+t5AEBSsAYbs3Lx79okWXcbtn728q5Op473RaKoN8ullVCaTeQqBihECiD1Rny+rgYy9vXh6ZO1ePHMKfQJgSCVCvenZeDh8RMQESjvnx13EkW9tYcPETmPAQqRAki5EZ+nrdQ9mXmxCIE/NTVgfV0V9Jfa0d8Ul4Dnsicie1yYU+fwhKPPbg8TRYmUjQEKkUJIkTzpaSt1T2ZeSo3tKKqqQGmHAQCQHToOW3LycGNcwojjlsJwn90eJooSKRsDFCIF8TSh0ZOqFXdnXppMJqyvq8J/NzUAAMLVajySkYWVqeMRHOC9TgbObpi3dvwEfDcmjomiRArHAIXIi5xZPhmc0GgWAsVtrQNeA8DuedytWnFn5qXHYsHLZ05j08kadJjNAIClumRsnJCLJI1zSadSJvI6+9nzw8KZMErkBxigELnBnRurO8sn9l4TGxgIQIXWvt4h53G3GsjVmZdPW85jTU0FKi90AQBmRkRiW04+5kRFO/X+jj6bJ4m8crWRJyLfYIBC5CJ3Aw1Xl08cvaa1r2/I+a3neWvyNLeqgZydfTjSacRvz5zErvPNAIDEoGA8lZWL23TJCHBh5sPTRF57pK6EIiLfYqt7IhdYb6yDZxusN9adzfohr3Gn3bqrCZ/W4x6qqcRz2XkAXGtv7uyswqO1Vdh1vhmBKhXuTxuPo1fPxbKkFJeCE7naz8vdRp6IvIsBCpGT3L2xurJ84uxrhjtPXFAwdkyZjuRBeSApmhCHMxPW2YeRbt29QqAwJg4HZl+DX2XnISowyKUxAu5dD2dZK6Fc+exEpExc4iFykrsVMu4krnrSer2px4RbtUkuVQMN14fFKjEoGC/nTcYtcQkedYGVu/08W7sTjQ4MUIic5O6N1Z3kTU8SOa2vdbW9uXX2YVXVcTRdarIG9C+P3KpNwvaJkxGiVrs9rsHjk+o4e9jancj/MUAhcpK7N1Z3kjdHeo09niaB9losOGvqxkWzxfbYd2Ni8buJU5AeGurWOe1hMisROYM5KEROGilPQwUg1c6N1Z3kzeFe4+i97Z3HWXtaWzDnQAlWV1fAYO7D9PAI7J5xFT6aPlvS4ARgMisROYcBCpGTPLmxupO86eg1cYFBiB2UnOpuEujJixex+Nhh3HzkAI53dSIuKAgvTpyEL2YV4FoZZzCYzEpEI1EJ4WItnwIYjUZERUXBYDAgMjLS18OhMcZeH5RUJ/d1cafBm73XAPY7yTrrgtmM507V4df1J9FtsUCtUuE/k9OwPjMbMUGuV+a4S8pOskSkfK7cvxmgELnBX2+sQgj8T7Mea2sqccbUDQCYFx2LrTl5mBIe4ePREdFo58r9m0myRG7wxyqRrzuNKKqqwF5Df3+RNE0Ins2eiIUJWo/KhomI5MAAhWiUa+ntwS9P1OC1s/WwAAgJCMDq9EysTs/EOAnKhgH/nVEiIuVigEI0SpmFwH811OOJuhrbxoKLErR4OnsixodIV5kj9aZ/REQAAxSiUenz9lasrq7A150dAIDJYeHYmpOH66Jjsbe9DV8Z2iWZ6ZBj0z8iIoABCtGoUt99EY/UVuG9c00AgJjAQGzIzMby5DTsamlGbkmxZDMdI+1NpEL/3kQL4hO53ENELmMfFKJRoNtsxuaTtbhi3168d64JAQDuSk7D0TnX4Z7U8djV0uzyLswjkXPTPyIizqAQ+ZCnyaVCCPz1/Dk8XFOJk90XAQDXRsVgW04epkVE2t5DjpkOuTf9I6KxjQEKycofqjt8NUZPk0vLuzqxuroCe9pabK/dnDURP0nUDSgbdncX5pF4Y9M/Ihq7GKCQbPyhukPKMboS6HiSXNre24uNJ2vwytl6mIWAJiAAD6Rl4MHxmQhTD/1PWq6ZDiVt+ucPgTARuYYBCsnCH6o7pByjK4GOu0suZiHwRuMZPF5XjfO9/WXDC+IT8avsiZgQOs7h2OSa6bDuTbTkWBlUl8Zu5c1N//whECYi1zFJliQ30g0Y6L8Bm32wy4JZCBS3tWJHUwNWVn4jyRitgY6zCajuJJeWGNow98BXWFF5HOd7e5E3Lgy7ps3Ee1NnDBucAO7vwuwMX2/65+q1JyL/wRkUkpxcOQ+DuTqtb++btqdjdCYY+0XFN4hSB+L6mFioVSqXllwaTN14tLYKO/SNAIBIdSDWZ2bh7pR0BAU49/1C7pmOhQlaLIhPtLuhYXFbq2zLLixzJhrdGKCQ5LxR3eHqtL6j5RxPxzhSMAYArX29uOnIAdv4nF1KKW5rxS8qv0GX2QwVgGVJKXhyQg60biSdWmc6hl4z53ZhHsngvYm8sezirUCYiHxD9iWeZ555BiqVCqtWrbI91t3djRUrViAuLg7h4eFYtGgR9HpOxY4Wcld3uDqtP9w3bU/H6EqQZR1fS2/PsEsuABCoUuH1xjPoMpsxJzIKe2deje15U9wKTqwWJmhRVTAPn0yfjTcnXYFPps9GZcH1ki/DeGvZhWXORKObrAFKaWkpfve73+GKK64Y8PgDDzyADz/8EO+99x6Ki4vR0NCAH/3oR3IOhbxIzpwHd/JbnJnlcHeMrgRZ1hE9VFOJ57LzbO9jT58Q0AUH47/yp+IfV87BzMgop99nONaZjlu1SZh3aclJSt7MP2KZM9HoJluA0tnZiaVLl+K1115DTMy3f+QNBgP+67/+C9u2bcP3vvc9zJw5E3/4wx/w5Zdf4quvvpJrOGOaNTH0XX0jittaZU9OteY8AENvwJ7mPLiTYOrqN2hXxjhSMOZofHFBwXaTS4H+67cmPRNH51yHpbpkBPhR/oQ3u8vKGQgTke/JFqCsWLECt9xyCwoLCwc8fvDgQfT29g54PC8vD+np6SgpKbF7LpPJBKPROOCHnLOzWY/ckmLMLyvFsuNfY35ZKXJLimWvbpCrusOdaX1Xv0EnB2vwWEYWTBbLiAHdcMHYSOP7fnwiNmRmIybw21SwG2PjceSqa7ExKxcRgf6XIubNZRc5A2Ei8j1Z/gK+8847OHToEEpLS4c819TUhODgYERHRw94XKvVoqmpye75Nm/ejCeffFKOoY5qvu5F4qi6w5MbhjvT+iM1FAOA+KAgPJedh7qLF/B64xk8dbLW9txIyZ2OElCHY+jrxXcO7cN+owEAkB06Ds9l5+Gm+ASnXq9U3l52kTv5l4h8R/IApb6+Hvfffz8+/fRThISESHLOdevWoaioyPa70WhEWlqaJOcerZRSgjm4usNT7nQvdabM9sWJkwEAG0/WuhXQWYOx4rZWLP3mCNr6eh1+hnEBatxXVQ4ACFer8UhGFlamjkewk2XDSuaL7rJyBMJE5HuS/0U8ePAgzp07hyuvvBKBgYEIDAxEcXExXnjhBQQGBkKr1aKnpwft7e0DXqfX66HT6eyeU6PRIDIycsAPDW+07jTr7rT+SEtOC+ITPU7uVKtU+F5sHF7JmwyVnfFZXbCYAQA/0yXj6JzrUJSeOSqCE8B3yy5yJ/8SkfdJPoNyww034OjRowMeu/3225GXl4eHH34YaWlpCAoKwu7du7Fo0SIAQGVlJU6fPo2CggKphzNmjeYSTHen9Yf7pl3c1ipZT42RlnxmRkRiW04+5kRFO/V5/Q2XXYhICpIHKBEREZgyZcqAx8LCwhAXF2d7/M4770RRURFiY2MRGRmJe++9FwUFBbj66qulHs6YNdpLMN2d1ne05CR1QLcwQYvJYeFYXn4MXxnbAQAJQcHYmJWL2/ysMscdXHYhIk/5pEzg17/+NQICArBo0SKYTCbMnz8fL7/8si+GMmopaadZuUiZ3yJlQNfZ14dfnarD8/Un0SMEAlUqrEhNxyMZWYgKDPJ0qH5D6vwjIhpbVEL4YMc2DxmNRkRFRcFgMDAfZRjWKh7AfmKoEnYUVgqzEMgtKR4xoKssuN7hLIAQAu/oG/FobRUaLs20FMbEYUtOHvLCwuUbPBGRn3Dl/j06MvPILl/vNOtPPE3uPNxhxPcO78ft5UfR0GNCRkgo3psyAx9Om8nghIjIDZxBGQNc3fV3LLO3yV2qJgTPZk9EXFDwkGvY3NODJ05U4/WGMxDoLyF+aHwmVqVlIESt9t0HISJSIFfu3/7XqpJcxlwA59lL7mzp7cGDNRUDgpbk4GD8a1wCdjbr0d7XBwD4aaIOT2dNRKpE/X+IiMYyBihEg1we0O1s1mPpN0eGNm/r6cEbjWcBANPCI7A1J9+vE46JiJSGAQqRA8N147WKDgzE5zOv9nmjNS7jEdFowwCFyIGRuvECQHtfH0oM7T5dQrOXNzPS/kFERErHKh4iBxpN3U4d58tuvNZS8sGBlHX/ILl3rSYikgsDFCI7jnZ2YNvpk04d66tuvCNtCAmMvH8QEZFSMUAhukxLbw/urzqOOaVf4uuujmGPVaG/BNlXybGjdUNIIiKAOShEAPpnI/6roR5P1NWgta8XAPCjBC2+GxOH+6qOA7DfjVeOnXmdNZo3hCQiYoBCY97n7a1YXV2Brzv7Z0wmh4Vja04evhMTBwBICA5W5M68o31DSCIa2xigkM/5qkS2vvsiHqmtwnvnmgAAMYGB2JCZjeXJaQi8rGxYqTvzjoUNIYlo7GKAQl53eUBSc6ELrzee8WqJbLfZjF/Xn8Szp+pw0WKBCsCdyal4IjMH8cHBdl+jxG681v2DlhwrgwrKW4IiIvIE9+Ihr7LXs2MwuXZbFkLgr+fP4eGaSpzsvggAuCYqGtty8jE9wn//PXK0f5Cvl6CIiAbjXjykSNaeHSNFxAL9Qcqa6gosiE+UZAagvKsTq6srsKetBUD/LM3TWRPx00QdVH4+w6DUJSgiIk8wQBlllNry3Jm28Ze7vETWk6WV9t5ebDpZi5fPnoZZCASrVHggPRMPjc9EmHr0/OuvxCUoIiJPjJ6/0KTolufOtI23x90SWbMQeLPxLB6vq0Zzbw8AYEF8Ip7Jnois0HFunZOIiLyHAcoo4Wj5xNryXOp8Dle5G2i4UyJbYmjD6uoKHOowAgAmjgvDlpw8/EtsvFtjICIi72OAMgw5l0ukPPdILc+lzudwh6uBhjslsg2mbjxWW4239Q0AgEh1INZnZuHulHQE+Xi3YSIicg0DFAfkXC6R+tyutDz3VZ7CSD07LudqiazJYsFv609i86k6dJnNUAFYlpSCX07IQSKblBER+SV+rbRDzh1i5Ti3P7Q8t/bsAL4NQBxJ0YQ4vST10flmXLn/CzxWV40usxlXR0Zj78yrsT1vCoMTIiI/xhmUQeRcLpHr3P7S8nxhghY7pkwfOnsUrMEdyanIHhfm9HJX1YUuPFhdgU9azwMAdMHB2JQ1EUu0SQhQQNUSERF5hgHKIHIul8hxbrMQMAuBmMAgtF3a5G4wJbU897Rnh7GvD5tP1uLFM6fQKwSCVCrclzYea8dnISKQ/zoTEY0W/Is+iJzLJVKf25WurEpqee5Ozw6LEHirqQGP1VVB39NfNnxTXAKey56I7HFhcgyTiIh8iAHKIHIul0h5bme7siph111PlRrbUVRVgdIOAwAgO3QcnsvOw03xCT4eGRERyYUByiBy7hAr1bmd6coaGxiEtyZPw/UxsYqZOXGVvseE9bXV+GPTWQBAuFqNteMn4N60DGhYNkxENKrxr/wgw1WbeLpcItW5nenK2trXiwCVyi+Dkx6LBc+fPompX+21BSf/rk3G13PmYs34CQxOiIjGAP6lt8NabZKsGbjU4kr5q5znVnJZsVkIFLe14l19I4rbWmF2cbPsT1vPY3bpl3i4thJGcx8yQkLx65x8vJY/BcmaEJlGTURESqMSwsU7iAK4sl2zJ5TaSba4rRXzy0pHPO6T6bO92pjNkwZ0dRcv4OGaSnx4/hyA/sjZctnzStlTiIiI3OfK/ZsBih8yC4HckuIRc1kqC6732hKPo6Rd67s7mh3q7OvDs6dP4DenT6BHCKgBmO2cf6TzEBGR8rly/+YSjx+SM0/GHSM1oAP6G9BdvtwjhMA7+gZcsW8vnj1Vhx4h8L2YOMQFBdl9D0fncWZsniw5ERGRb7CKx0857Mrqg7JiVxvQlXUYUVRdji8N7QCAjJBQPJedhwi1GjceOeD0eUYi535KREQkLwYoLpIzL8VVnnZllYqzybhVF7rw53ONeL3hDASAcQFqPDx+Au5PG48QtRrv6hslez9HS07WPY+4VEREpGwMUFygxG/k7nRllZqzDejW1Vai09yfYfLTRB2ezpqI1JBvK3OkamQn535KRETkHcxBcZKcOxz7O2sDupFu9Z1mM6aFR+DvM67CHydPGxCcOHMeFYBUJxrZubLkREREysQAxQnuJIH6G0+SSYdL2rWKUKvx29xJ+HJWgcMAQ6rkXyX3iSEiIucwQHHCaP9GvrNZj9ySYswvK8Wy419jflkpckuKXZoVsibt6oKDhzx3Y2w8qgrmYXlK2ojBhRSN7OTcT4mIiLyDOShOGM3fyKVKJhVCwCwE1KpvY95p4RF4NW8KpkW41qvG0+RfOfdTIiIi72CA4oTR+o1cqmTSo50dKKoux+eXZpDSNCF4JnsifpSghcrNJFRPkn+tS0VLjpVBBQz4fL7oE0NERK7jEo8TpEreVBpPl65ae3uwquo45pR+ic/b2xASEIBHM7JwZM5cLErUuR2cSEHO/ZSIiEh+nEFxwmj9Ru7u0pVZCLzecAaP11Wjta8XAPCjBC02Z0/E+JBQycfpLqX0iSEiItdJPoOyefNmzJ49GxEREUhMTMTChQtRWVk54Jju7m6sWLECcXFxCA8Px6JFi6DXK7tMdzR+I3dn6WpvexsKDpTg3qrjaO3rxaSwcHw0fRbenjJdUcGJlXWp6FZtEubFxDI4ISLyE5JvFnjjjTdi8eLFmD17Nvr6+vDII4/g2LFjOH78OMLCwgAA99xzD/73f/8Xb7zxBqKiorBy5UoEBATgiy++cOo9fLlZoJI6yXrKlU0HG0zdeKS2Cu+dawIARAcG4vHMbCxPTkNggDJWCkfTPxsiotFIUbsZNzc3IzExEcXFxbj++uthMBiQkJCAt99+Gz/+8Y8BABUVFcjPz0dJSQmuvvrqEc851nczlpK1igewv3T15qQrUHfxAp49dQIXLGaoANyZnIonMnMQb6ek2FeU2OWXiIgGUtRuxgaDAQAQG9tfkXHw4EH09vaisLDQdkxeXh7S09NRUlJi9xwmkwlGo3HAD0nD0dJVUlAwfpygw+rqCjxxogYXLGZcExWNklkFeHHiZMUFJ+zyS0Q0usgaoFgsFqxatQrXXnstpkyZAgBoampCcHAwoqOjBxyr1WrR1NRk9zybN29GVFSU7SctLU3OYY85CxO0qCqYh0+mz8abk67A3clpaOnrxXvNTWju7QEAxAQG4t7U8ZjuYk8TuY2FLr9ERGORrAHKihUrcOzYMbzzzjsenWfdunUwGAy2n/r6eolGSFZqlQrTwiPwjr4R2xvqYRp0Q2/v68O/f3NEcbMRo73LLxHRWCVbmfHKlSuxa9cufPbZZ0hNTbU9rtPp0NPTg/b29gGzKHq9Hjqdzu65NBoNNBr/aoLmT8xC4M3Gs9hQV4Xzvb12j1HqLsCjucsvEdFYJnmAIoTAvffeiw8++AD//Oc/kZmZOeD5mTNnIigoCLt378aiRYsAAJWVlTh9+jQKCgqkHg7ZcXm1S0tvD/67sQGHO0fO67l8NsLdLq9SG61dfomIxjrJA5QVK1bg7bffxl/+8hdERETY8kqioqIQGhqKqKgo3HnnnSgqKkJsbCwiIyNx7733oqCgwKkKHvKMvWoXAAgNCOhPmNU3jngOJc1GcN8dIqLRSfIclFdeeQUGgwHf+c53kJSUZPt59913bcf8+te/xr/9279h0aJFuP7666HT6fD+++9LPRQaZGezHovtVLsAwEWLBdmh45w6j5JmI6xdfgEM2YrAn7v8EhGNdbL3QZGDv/VBUUIDMbMQSN+7By19fXafVwFIDtYAKjjVuE1pN3x7M0OpmhBsycljHxQiIoVw5f7NvXhkpoQGYtUXunBn+VGHwQnQn19ytseE9RlZ2Hiy1u/2HOK+O0REowtnUGRkbSA2+AJbb5ly7+HT0deHZ07V4oX6U+h18h/zm5OugCYgwO5sxLPZExEXFMwAgIiI3MIZFAUYqYGYOyW7zi4VWYTA2/oGPFZbhaae/kZrV0VGYb/RMOJ76II1mBcTO2Q2oqW3Bw/WVLCVPBEReQUDFJm40kDMmZJdZ5eKDhgNKKoutwUj2aHj8Fx2Hv41Lt6pjQGt1S7WXYCt7730myNDXmdtJe+vuzkTEZFyKWMb2lHI1QZiZiFQ3NaKd/WNKG5rHdCa3Zm9ZvQ9JvxnxTHMPfgV9hsNCFersWlCLg5edS1uik9wu9qFreSJiMgXOIMiE1caiA03O7IgPnHEAOE/y49BADCa+5Ng/12bjI1ZOUjWhAw43rox4ND3clztIvVMEBERkTMYoMjE2QZiLb09wy6fPJaRNWyAAACGS4HJlRGR2JaTj6ujoh0e62q1i1JaySuhVJuIiLyHAYpMrEsqS46VOSzZfTZ7Ih6sqRg2kfalM6eder87klLx4sRJCHDipn15fslIlNBKXgml2kRE5F3MQZGRdUkledBGhymaEOyYMh1xQcEjLp+09tnfvG+wW7VJTgUnrrLOBDk6swr9JchytZJ3Jv+GiIhGH86gyGy4JZV3ndj3BgCi1YFoNzvuACvnXjPOzATJ1bxNjlJtIiLyD5xB8QLrksqt2iTMi4m13UydXRaJCLQfR3qru+tIM0FyLbO4kqBLRESjC2dQfGikRFqrelM3NKoAaAJUMJrNtseHq76Rmi9aySslQZeIiLyPAYoPDbd8crmfJOrwdFYukjUhPq1kcSW5VgpKSNAlIiLfYIDiY456kwDA+JAQ/D5/Kq6L/jYoGEu9Rpwt1ZYr/4aIiHyHOSgKMCMiEldFRtt+j1QH4vmcfBy/+voBwclY4273WyIi8n+cQfGhC2Yztp4+ga2nT6DbYkEAgLtS0rAhMxuxQcG+Hp4iuNP9loiI/B8DFB8QQuCDZj0erqlEvakbADAvOhZbc/IwJTzCx6NTHl8k6BIRkW8xQPGyY50dKKoux2eXSmPTNCH4VfZE/DBBCxVvuA55O0GXiIh8iwGKl7T29uCpE7X43dnTsAAICQjA6vRMrE7PxDi12tfDIyIiUhQGKDIzC4HXG87giRPVaOntb1v/owQtNmdPxPiQUB+PjoiISJkYoMhob3sbVleX40hnBwBgUlg4tubk4bsxcT4eGRERkbIxQJHBme5uPFJbiT+fawIARAcG4vHMbCxPTkNgACu7iYiIRsIARULdZjN+U38Sz546gQsWM1QA7kxOxeOZOUgIZtkwERGRsxigSEAIgQ/Pn8NDNZU42X0RAFAQFY1tOfmYERHp49HJxywES3+JiEgWDFA8VNHViTXVFfh7WwsAIEWjwdNZE/HTRN2oLhve2ay30zxNg605+WyeRkREHmOA4iZDXy82najFy2dPo08IBKtUWJWeiYfSMxGqVuOzUTyzsLNZjyXHyobsj9NgMmHJsTLsmDKdQQoREXmEAYqLLELgj01nsaG2Gud6ewAAC+IT8Uz2RGSFjhv1MwtmIbC6utzu5n0C/XvkrKmuwIL4xFEVlBERkXexpMQFXxnacd3Br3B3xTc419uD3HFh+PCKmXhv6gxbcLLkWNmQXYmtMws7m/U+Grl09ra3Dfl8lxMAzpi6sfdSp1wiIiJ3cAbFCY0mEx6rq8JbTQ0A+ncbfjQjC/ekpiP4UtnwWJlZaOpxHJy4cxwREZE9DFCGYbJY8GL9KWw+VYtOsxkAsCwpBb+ckANtsGbAsa7MLPjznjK6QZ/b0+OIiIjsYYDiwMctzVhTXYGaixcAAHMio7A1Jx+zIqPsHj9WZhbmRscgRaNBg8lkd7ZIBSBFE4K50THeHhoREY0iDFAGqb7QhQerK/Bx63kAgC44GE9NyMVSXTIChlmaGSszC2qVCltz8rHkWBlUwIAgxXp1tuTk+fUyFhER+R6TZC/z0plTuHL/F/i49TyCVCqsTs/A0TnX4baklGGDE+DbmQVHR6kApI6SmYWFCVrsmDIdyZqBwVaKJoQlxkREJAnOoFwmJ3QceoXAjbHxeC4nDznjwpx+7VibWViYoMWC+ER2kiUiIlmohBD2UgkUzWg0IioqCgaDAZGR0raS329ox1VR0W6/3l4flFRNCLbk5HFmgYiIxjRX7t+cQRnEk+AE4MwCERGRFBigyECtUvl1KTEREZGvMUmWiIiIFIcBChERESkOAxQiIiJSHAYoREREpDhMkr2MWQhW3xARESmAT2dQXnrpJWRkZCAkJARz5szB/v37fTaWnc165JYUY35ZKZYd/xrzy0qRW1KMnc16n42JiIhorPJZgPLuu++iqKgIjz/+OA4dOoRp06Zh/vz5OHfunNfHsrNZjyXHyobsRtxgMmHJsTIGKURERF7mswBl27ZtWL58OW6//XZMmjQJ27dvx7hx4/D66697dRxmIbC6utzuzrzWx9ZUV8Dsfw13iYiI/JZPApSenh4cPHgQhYWF3w4kIACFhYUoKSkZcrzJZILRaBzwI5W97W1DZk4uJwCcMXVjb3ubZO9JREREw/NJgHL+/HmYzWZotQP3ptFqtWhqahpy/ObNmxEVFWX7SUtLk2wsTT2OgxN3jiMiIiLP+UWZ8bp162AwGGw/9fX1kp1bF6yR9DgiIiLynE/KjOPj46FWq6HXD0w+1ev10Ol0Q47XaDTQaOQJEOZGxyBFo0GDyWQ3D0UFIEUTgrnRMbK8PxEREQ3lkxmU4OBgzJw5E7t377Y9ZrFYsHv3bhQUFHh1LGqVCltz8gH0ByOXs/6+JSeP/VCIiIi8yGdLPEVFRXjttdfw5ptvory8HPfccw+6urpw++23e30sCxO02DFlOpIHzdKkaEKwY8p0LEzQOnglERERycFnnWRvvfVWNDc3Y8OGDWhqasL06dPx8ccfD0mc9ZaFCVosiE90uZMsu88SERFJTyWE/zX4MBqNiIqKgsFgQGRkpM/GsbNZj9XV5QPKlFM0GmzNyeesCxER0SCu3L/9oopHidh9loiISD4MUNzgre6zZiFQ3NaKd/WNKG5rZTdbIiIaM7ibsRtc6T47LybWrffg8hEREY1lnEFxg9zdZ7l8REREYx0DFDfI2X2WmxcSERExQHGLtfuso2JiFYBUN7vPcvNCIiIiBihukbP7LDcvJCIiYoDiNrm6z3LzQiIiIlbxeMTd7rPD4eaFREREDFA8plap3C4ldnS+rTn5WHKsDCpgQJDCzQuJiGis4BKPAnHzQiIiGus4g6JQciwfERER+QsGKAom9fIRERGRv+ASDxERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESmOX3aSFaJ/Cz2j0ejjkRAREZGzrPdt6318OH4ZoHR0dAAA0tLSfDwSIiIiclVHRweioqKGPUYlnAljFMZisaChoQERERFQSbx5ntFoRFpaGurr6xEZGSnpuelbvM7ewevsHbzO3sHr7D1yXWshBDo6OpCcnIyAgOGzTPxyBiUgIACpqamyvkdkZCT/A/ACXmfv4HX2Dl5n7+B19h45rvVIMydWTJIlIiIixWGAQkRERIrDAGUQjUaDxx9/HBqNxtdDGdV4nb2D19k7eJ29g9fZe5Rwrf0ySZaIiIhGN86gEBERkeIwQCEiIiLFYYBCREREisMAhYiIiBSHAcplXnrpJWRkZCAkJARz5szB/v37fT0kv7Z582bMnj0bERERSExMxMKFC1FZWTngmO7ubqxYsQJxcXEIDw/HokWLoNfrfTTi0eGZZ56BSqXCqlWrbI/xOkvj7Nmz+NnPfoa4uDiEhoZi6tSpOHDggO15IQQ2bNiApKQkhIaGorCwENXV1T4csX8ym81Yv349MjMzERoaiqysLDz11FMD9m/htXbdZ599hgULFiA5ORkqlQo7d+4c8Lwz17S1tRVLly5FZGQkoqOjceedd6Kzs1OeAQsSQgjxzjvviODgYPH666+Lb775RixfvlxER0cLvV7v66H5rfnz54s//OEP4tixY6KsrEzcfPPNIj09XXR2dtqOufvuu0VaWprYvXu3OHDggLj66qvFNddc48NR+7f9+/eLjIwMccUVV4j777/f9jivs+daW1vF+PHjxX/8x3+Iffv2ibq6OvHJJ5+Impoa2zHPPPOMiIqKEjt37hRHjhwR3//+90VmZqa4ePGiD0fufzZt2iTi4uLErl27xIkTJ8R7770nwsPDxfPPP287htfadX/729/Eo48+Kt5//30BQHzwwQcDnnfmmt54441i2rRp4quvvhKff/65yM7OFkuWLJFlvAxQLrnqqqvEihUrbL+bzWaRnJwsNm/e7MNRjS7nzp0TAERxcbEQQoj29nYRFBQk3nvvPdsx5eXlAoAoKSnx1TD9VkdHh8jJyRGffvqpmDdvni1A4XWWxsMPPyzmzp3r8HmLxSJ0Op147rnnbI+1t7cLjUYjduzY4Y0hjhq33HKLuOOOOwY89qMf/UgsXbpUCMFrLYXBAYoz1/T48eMCgCgtLbUd89FHHwmVSiXOnj0r+Ri5xAOgp6cHBw8eRGFhoe2xgIAAFBYWoqSkxIcjG10MBgMAIDY2FgBw8OBB9Pb2DrjueXl5SE9P53V3w4oVK3DLLbcMuJ4Ar7NU/vrXv2LWrFn4yU9+gsTERMyYMQOvvfaa7fkTJ06gqalpwHWOiorCnDlzeJ1ddM0112D37t2oqqoCABw5cgR79+7FTTfdBIDXWg7OXNOSkhJER0dj1qxZtmMKCwsREBCAffv2ST4mv9wsUGrnz5+H2WyGVqsd8LhWq0VFRYWPRjW6WCwWrFq1Ctdeey2mTJkCAGhqakJwcDCio6MHHKvVatHU1OSDUfqvd955B4cOHUJpaemQ53idpVFXV4dXXnkFRUVFeOSRR1BaWor77rsPwcHBWLZsme1a2vs7wuvsmrVr18JoNCIvLw9qtRpmsxmbNm3C0qVLAYDXWgbOXNOmpiYkJiYOeD4wMBCxsbGyXHcGKOQVK1aswLFjx7B3715fD2XUqa+vx/33349PP/0UISEhvh7OqGWxWDBr1iw8/fTTAIAZM2bg2LFj2L59O5YtW+bj0Y0uf/7zn/HWW2/h7bffxuTJk1FWVoZVq1YhOTmZ13oM4RIPgPj4eKjV6iFVDXq9HjqdzkejGj1WrlyJXbt24R//+AdSU1Ntj+t0OvT09KC9vX3A8bzurjl48CDOnTuHK6+8EoGBgQgMDERxcTFeeOEFBAYGQqvV8jpLICkpCZMmTRrwWH5+Pk6fPg0AtmvJvyOee/DBB7F27VosXrwYU6dOxW233YYHHngAmzdvBsBrLQdnrqlOp8O5c+cGPN/X14fW1lZZrjsDFADBwcGYOXMmdu/ebXvMYrFg9+7dKCgo8OHI/JsQAitXrsQHH3yAPXv2IDMzc8DzM2fORFBQ0IDrXllZidOnT/O6u+CGG27A0aNHUVZWZvuZNWsWli5davv/vM6eu/baa4eUyVdVVWH8+PEAgMzMTOh0ugHX2Wg0Yt++fbzOLrpw4QICAgbentRqNSwWCwBeazk4c00LCgrQ3t6OgwcP2o7Zs2cPLBYL5syZI/2gJE+79VPvvPOO0Gg04o033hDHjx8Xd911l4iOjhZNTU2+Hprfuueee0RUVJT45z//KRobG20/Fy5csB1z9913i/T0dLFnzx5x4MABUVBQIAoKCnw46tHh8ioeIXidpbB//34RGBgoNm3aJKqrq8Vbb70lxo0bJ/70pz/ZjnnmmWdEdHS0+Mtf/iK+/vpr8YMf/IClr25YtmyZSElJsZUZv//++yI+Pl489NBDtmN4rV3X0dEhDh8+LA4fPiwAiG3btonDhw+LU6dOCSGcu6Y33nijmDFjhti3b5/Yu3evyMnJYZmxN/z2t78V6enpIjg4WFx11VXiq6++8vWQ/BoAuz9/+MMfbMdcvHhR/OIXvxAxMTFi3Lhx4oc//KFobGz03aBHicEBCq+zND788EMxZcoUodFoRF5ennj11VcHPG+xWMT69euFVqsVGo1G3HDDDaKystJHo/VfRqNR3H///SI9PV2EhISICRMmiEcffVSYTCbbMbzWrvvHP/5h92/ysmXLhBDOXdOWlhaxZMkSER4eLiIjI8Xtt98uOjo6ZBmvSojLWvMRERERKQBzUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESK8/8DQnnJg+PfGCoAAAAASUVORK5CYII=", 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" ] @@ -298,27 +310,30 @@ ], "source": [ "# generate a true dataset\n", - "theta_true = [1, 5, 8]\n", + "theta_true = [1, 5]\n", "y_true = simulator(theta_true)\n", + "y_true_no_noise = simulator_no_noise(theta_true)\n", "\n", "# and visualize it\n", "plt.clf()\n", "plt.scatter(np.linspace(0, 100, 101),\n", " y_true, color = '#07BEB8')\n", + "plt.plot(np.linspace(0, 100, 101),\n", + " y_true_no_noise, color = '#07BEB8')\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 33, "id": "03afb5e3-e60c-465c-99d6-ed07b3904427", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "46082bb434aa4bcd9b5f7adb533fd93a", + "model_id": "2f31cdff92374946bf8519ac901b54ab", "version_major": 2, "version_minor": 0 }, @@ -331,9 +346,19 @@ }, { "data": { - "image/png": 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", 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" + "[]" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" ] }, "metadata": {}, @@ -345,55 +370,35 @@ "posterior_samples_1 = posterior.sample((10000,), x = y_true)\n", "\n", "# plot posterior samples\n", - "_ = analysis.pairplot(\n", + "fig, axes = analysis.pairplot(\n", " posterior_samples_1, \n", - " labels = ['m', 'b', '$\\sigma$'],\n", + " labels = ['m', 'b'],\n", " #limits = [[0,10],[-10,10],[0,10]],\n", " truths = theta_true,\n", " figsize=(5, 5)\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "id": "c8e8e157-0ce3-4126-ac10-3f5425a8542b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.hist(posterior_samples_1[:,2])\n", - "plt.axvline(x = theta_true[2], color = 'black')\n", - "plt.show()" + ")\n", + "axes[0, 1].plot([theta_true[1]], [theta_true[0]], marker=\"o\", color=\"r\")" ] }, { "cell_type": "markdown", - "id": "c1a17eee-0c6c-48e0-a222-7722bd8a9999", + "id": "65e06fc8-fe43-469b-8793-37fd770876f2", "metadata": {}, "source": [ - "Now plot the true sigma value (black lines) compared to the one sigma value from the posterior distribution." + "Okay but these are just the parameters. What we really want is the posterior predictive check, which is built by running draws from the posterior through the simulator again.\n", + "\n", + "With or without noise in the simulator? I think without." ] }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 73, "id": "5ba2e8ba-c69b-4cb0-8f6c-f39043933da0", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -408,20 +413,28 @@ "plt.clf()\n", "xs_sim = np.linspace(0, 100, 101)\n", "ys_sim = np.zeros((np.shape(posterior_samples_1)[0], len(xs_sim)))\n", + "ys_sim_no_noise = np.zeros((np.shape(posterior_samples_1)[0], len(xs_sim)))\n", + "# for every posterior sample, run it through the no noise and the noisy simulator\n", "for j in range(np.shape(posterior_samples_1)[0]):\n", + " ys_sim_no_noise[j,:] = simulator_no_noise(posterior_samples_1[j,:])\n", " ys_sim[j,:] = simulator(posterior_samples_1[j,:])\n", "\n", "plt.fill_between(xs_sim,\n", " np.mean(ys_sim, axis = 0) - 1 * np.std(ys_sim, axis = 0),\n", " np.mean(ys_sim, axis = 0) + 1 * np.std(ys_sim, axis = 0),\n", - " color = '#98DFEA', label = 'error from posterior')\n", - "plt.plot(xs_sim, np.mean(ys_sim, axis = 0) + theta_true[2],\n", - " color = '#25283D', label = 'true error')\n", - "plt.plot(xs_sim, np.mean(ys_sim, axis = 0) - theta_true[2],\n", + " color = '#FF495C', label = 'posterior predictive check with noise')\n", + "plt.fill_between(xs_sim,\n", + " np.mean(ys_sim_no_noise, axis = 0) - 1 * np.std(ys_sim_no_noise, axis = 0),\n", + " np.mean(ys_sim_no_noise, axis = 0) + 1 * np.std(ys_sim_no_noise, axis = 0),\n", + " color = '#98DFEA', label = 'posterior predictive check no noise')\n", + "\n", + "plt.plot(xs_sim, np.mean(ys_sim, axis = 0) + true_sigma,\n", + " color = '#25283D', label = 'true input error')\n", + "plt.plot(xs_sim, np.mean(ys_sim, axis = 0) - true_sigma,\n", " color = '#25283D')\n", "plt.scatter(xs_sim,\n", " y_true, \n", - " color = '#EFD9CE') \n", + " color = 'black')#'#EFD9CE') \n", "plt.legend()\n", "\n", "plt.show()" @@ -429,13 +442,13 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 52, "id": "1305ae72-1147-4105-8231-9e0489c6b412", "metadata": {}, "outputs": [ { "data": { - "image/png": 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BAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKQSHwBAKvEBAKTqs/iYN29ejBo1Kg4//PCYOHFiPPfcc311KACghPRJfPz4xz+OpqamuOOOO+KFF16IcePGxbRp0+KNN97oi8MBACWkT+LjnnvuiS984Qtx9dVXxymnnBL3339/HHHEEfGDH/ygLw4HAJSQ8kLvcPfu3bFmzZpobm7uXnfYYYfF1KlTY+XKlXtt39HRER0dHd2v29raIiKivb29oHP9c/c70dnxz+59v1NR8D86QEG8+3cV9JVCf4/99312dXX9120L/h34b3/7W+zZsyeGDRvWY/2wYcPij3/8417bt7S0xOzZs/daP3LkyEKP1m343D7bNQAc9Grm9t2+d+zYETU1Ne+7TdH/97+5uTmampq6X3d2dsbf//73GDJkSJSVlRX0WO3t7TFy5MjYuHFjVFdXF3TfhyLns3Ccy8JyPgvHuSys/nw+u7q6YseOHVFfX/9fty14fBx99NExYMCA2Lp1a4/1W7dujbq6ur22r6ysjMrKyh7rBg0aVOixeqiuru53/9KLyfksHOeysJzPwnEuC6u/ns//dsXjXQV/4LSioiLOOuusWL58efe6zs7OWL58eUyaNKnQhwMASkyf3HZpamqKmTNnxvjx4+MjH/lIzJ07N3bt2hVXX311XxwOACghfRIfn/70p+PNN9+M22+/PbZs2RJnnHFGPPHEE3s9hJqtsrIy7rjjjr1u87B/nM/CcS4Ly/ksHOeysJzPfynr+l9+JgYAoEB8tgsAkEp8AACpxAcAkEp8AACpDon4aGlpiQkTJkRVVVXU1tbGpZdeGi+//HKxxypJ8+fPj7Fjx3b/gpxJkybF448/Xuyx+oU5c+ZEWVlZzJo1q9ijlKQ777wzysrKeixjxowp9lgl7a9//Wt85jOfiSFDhsTAgQPj9NNPj+eff77YY5WkUaNG7fXfZ1lZWTQ2NhZ7tKIo+q9Xz9Da2hqNjY0xYcKEeOedd+K2226LCy+8MP7whz/EkUceWezxSsqIESNizpw5ccIJJ0RXV1c8+OCDcckll8Tvfve7OPXUU4s9XslavXp1fOc734mxY8cWe5SSduqpp8ayZcu6X5eXHxJ/xfWJf/zjHzF58uQ477zz4vHHH4+hQ4fGunXr4oMf/GCxRytJq1evjj179nS/Xrt2bVxwwQVx+eWXF3Gq4jkkf9T2zTffjNra2mhtbY1zzz232OOUvMGDB8c3v/nNuPbaa4s9SknauXNnnHnmmXHffffF3XffHWeccUbMnTu32GOVnDvvvDOWLl0aL774YrFH6RduvfXW+O1vfxu//vWviz1KvzRr1qx49NFHY926dQX/HLNScEjcdvlPbW1tEfGvb5rsvz179sTixYtj165dfnX+AWhsbIzp06fH1KlTiz1KyVu3bl3U19fHcccdF1deeWVs2LCh2COVrJ///Ocxfvz4uPzyy6O2tjY+/OEPx3e/+91ij9Uv7N69O374wx/GNddcc0iGR8Qhctvl33V2dsasWbNi8uTJcdpppxV7nJL00ksvxaRJk+Ktt96Ko446KpYsWRKnnHJKsccqSYsXL44XXnghVq9eXexRSt7EiRNj4cKFcdJJJ8XmzZtj9uzZcc4558TatWujqqqq2OOVnD//+c8xf/78aGpqittuuy1Wr14dN954Y1RUVMTMmTOLPV5JW7p0aWzfvj2uuuqqYo9SNIfcbZfrrrsuHn/88fjNb34TI0aMKPY4JWn37t2xYcOGaGtri5/97Gfxve99L1pbWwVIL23cuDHGjx8fTz31VPezHlOmTHHbpUC2b98exx57bNxzzz1uCe6HioqKGD9+fDzzzDPd62688cZYvXp1rFy5soiTlb5p06ZFRUVFPPLII8UepWgOqdsu119/fTz66KPxq1/9SngcgIqKijj++OPjrLPOipaWlhg3blx8+9vfLvZYJWfNmjXxxhtvxJlnnhnl5eVRXl4era2tce+990Z5eXmPh9PovUGDBsWJJ54Y69evL/YoJWn48OF7/Q/FySef7FbWAfrLX/4Sy5Yti89//vPFHqWoDonbLl1dXXHDDTfEkiVLYsWKFTF69Ohij9SvdHZ2RkdHR7HHKDnnn39+vPTSSz3WXX311TFmzJj40pe+FAMGDCjSZP3Dzp0745VXXonPfvazxR6lJE2ePHmvX0nwpz/9KY499tgiTdQ/LFiwIGpra2P69OnFHqWoDon4aGxsjEWLFsXDDz8cVVVVsWXLloiIqKmpiYEDBxZ5utLS3NwcDQ0Nccwxx8SOHTti0aJFsWLFinjyySeLPVrJqaqq2uu5oyOPPDKGDBnieaT9cPPNN8fFF18cxx57bGzatCnuuOOOGDBgQMyYMaPYo5Wkm266KT72sY/F1772tfjUpz4Vzz33XDzwwAPxwAMPFHu0ktXZ2RkLFiyImTNnHvI/Bn5I/Onnz58fEf+6n/7vFixYcEg/8LM/3njjjfjc5z4Xmzdvjpqamhg7dmw8+eSTccEFFxR7NA5xr7/+esyYMSO2bdsWQ4cOjbPPPjtWrVoVQ4cOLfZoJWnChAmxZMmSaG5ujrvuuitGjx4dc+fOjSuvvLLYo5WsZcuWxYYNG+Kaa64p9ihFd8g9cAoAFNch9cApAFB84gMASCU+AIBU4gMASCU+AIBU4gMASCU+AIBU4gMASCU+AIBU4gMASCU+AIBU4gMASPX/ALBtvxDWHlz2AAAAAElFTkSuQmCC", + "image/png": 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", "text/plain": [ "
" ] @@ -446,8 +459,18 @@ ], "source": [ "# Another way to look at this would be to plop it on its side and look at the sigma values at each x\n", - "plt.hist(np.std(ys_sim, axis = 0))\n", - "plt.axvline(x = theta_true[2])\n", + "plt.hist(np.std(ys_sim, axis = 0),\n", + " label = 'posterior predictive check with noise',\n", + " color = '#FF495C',\n", + " bins = 10)\n", + "plt.hist(np.std(ys_sim_no_noise, axis = 0),\n", + " label = 'posterior predictive check no noise',\n", + " color = '#98DFEA',\n", + " bins = 10)\n", + "plt.axvline(x = true_sigma,\n", + " color = 'black',\n", + " label = 'true injected error')\n", + "plt.legend()\n", "plt.show()" ] }, diff --git a/notebooks/numpyro_linefit.ipynb b/notebooks/numpyro_linefit.ipynb index bbbc971..6263991 100644 --- a/notebooks/numpyro_linefit.ipynb +++ b/notebooks/numpyro_linefit.ipynb @@ -18,7 +18,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "id": "5e8c8f57", "metadata": {}, "outputs": [], @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 30, "id": "2fa611df", "metadata": {}, "outputs": [], @@ -63,14 +63,14 @@ "numpyro.set_host_device_count(core_num)\n", "\n", "import numpyro.distributions as dist\n", - "from numpyro.infer import MCMC, NUTS\n", + "from numpyro.infer import MCMC, NUTS, Predictive\n", "import pandas as pd\n", "from sklearn.preprocessing import LabelEncoder" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 5, "id": "df535a12-c8bf-46eb-a575-12deafb1109b", "metadata": {}, "outputs": [], @@ -82,81 +82,71 @@ }, { "cell_type": "markdown", - "id": "b6015d5b-45be-45eb-b1eb-e3502e1ed7f6", + "id": "7b2c52f8-d577-48a4-ad64-479868f3ca2f", "metadata": {}, "source": [ - "## 2 Make the data" + "## 2 Define the simulator\n", + "This will be used to generate and visualize the true data." ] }, { "cell_type": "code", - "execution_count": 7, - "id": "836e5e3d-1daf-44ff-9639-c776d1b9cb14", + "execution_count": 66, + "id": "cac844d9-0579-432a-a799-45ca30388368", "metadata": {}, "outputs": [], "source": [ + "true_sigma = 10\n", "def simulator(thetas):#, percent_errors):\n", " # just plop the pendulum within here\n", - " m, b, sigma = thetas\n", + " m, b = thetas\n", " x = np.linspace(0, 100, 101)\n", " rs = np.random.RandomState()#2147483648)# \n", + " # I'm thinking sigma could actually be a function of x\n", + " # if we want to get fancy down the road\n", + " sigma = 10\n", " ε = rs.normal(loc=0, scale=sigma, size = len(x)) \n", - " return m * x + b + ε" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "44803dbf-a597-4a5b-8f22-7ec2f9f4ac77", - "metadata": {}, - "outputs": [], - "source": [ - "length_df = 1000\n", - "xs = np.zeros((length_df, 3))\n", - "ys = []\n", - "#true_sigmas = []\n", + " return m * x + b + ε\n", "\n", - "for r in range(length_df):\n", - " rs = np.random.RandomState()#2147483648)# \n", - " m = rs.normal(loc=1, scale=1)\n", - " b = rs.normal(loc=0, scale=10)\n", - " sigma = abs(rs.normal(loc=0, scale=10))\n", - " thetas = [m, b, sigma]\n", - " xs[r,:] = thetas\n", - " ys.append(simulator(thetas))" + "def simulator_no_noise(thetas):#, percent_errors):\n", + " # just plop the pendulum within here\n", + " m, b = thetas\n", + " x = np.linspace(0, 100, 101)\n", + " return m * x + b" ] }, - { - "cell_type": "code", - "execution_count": null, - "id": "3e1fa82c-b539-4861-9482-f73bf405d5c4", - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "markdown", "id": "10fdf711-938f-4435-8e4b-cf7d233088f7", "metadata": {}, "source": [ - "## 3 Define the model" + "## 3 Define the numpyro model" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 62, "id": "26d55129-a7d1-414d-85db-ed0d4a142f29", "metadata": {}, "outputs": [], "source": [ - "def linefit_model(xs,\n", - " exponential,\n", - " y=None):\n", + "def linefit_model(x_data,\n", + " y_data=None):\n", " m = numpyro.sample(\"m\", dist.TruncatedNormal(5, 2, low = 0.01))\n", " b = numpyro.sample(\"b\", dist.Normal(0, 5))\n", - " σ = numpyro.sample(\"σ\", dist.Exponential(exponential))\n", - " modelx = m * xs + b \n", - " pos = numpyro.sample(\"obs\", dist.Normal(modelx, σ), obs=y)\n", + " σ = 10\n", + " #numpyro.sample(\"σ\", dist.Exponential(exponential))\n", + " modelx = m * x_data + b \n", + " pos = numpyro.sample(\"obs\", dist.Normal(modelx, σ), obs=y_data)\n", + "\n", + "def linefit_model_no_noise(x_data,\n", + " y_data=None):\n", + " m = numpyro.sample(\"m\", dist.TruncatedNormal(5, 2, low = 0.01))\n", + " b = numpyro.sample(\"b\", dist.Normal(0, 5))\n", + " σ = 0\n", + " #numpyro.sample(\"σ\", dist.Exponential(exponential))\n", + " modelx = m * x_data + b \n", + " pos = numpyro.sample(\"obs\", dist.Normal(modelx, σ), obs=y_data)\n", "\n", "def hierarchical_model(planet_code,\n", " pendulum_code,\n", @@ -232,7 +222,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 45, "id": "6da1775e-d630-4150-b419-1592eaa7e753", "metadata": {}, "outputs": [ @@ -245,79 +235,67 @@ "\n", "\n", - "\n", - "\n", - "\n", + "\n", + "\n", + "\n", "\n", "\n", "m\n", - "\n", - "m\n", + "\n", + "m\n", "\n", "\n", - "\n", + "\n", "obs\n", - "\n", - "obs\n", + "\n", + "obs\n", "\n", "\n", "\n", "m->obs\n", - "\n", - "\n", + "\n", + "\n", "\n", "\n", "\n", "b\n", - "\n", - "b\n", + "\n", + "b\n", "\n", "\n", "\n", "b->obs\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "σ\n", - "\n", - "σ\n", - "\n", - "\n", - "\n", - "σ->obs\n", - "\n", - "\n", + "\n", + "\n", "\n", "\n", - "\n", + "\n", "distribution_description_node\n", - "m ~ LeftTruncatedDistribution\n", - "b ~ Normal\n", - "σ ~ Exponential\n", - "obs ~ Normal\n", + "m ~ LeftTruncatedDistribution\n", + "b ~ Normal\n", + "obs ~ Normal\n", "\n", "\n", "\n" ], "text/plain": [ - "" + "" ] }, - "execution_count": 10, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "exponential = 100\n", + "x_data = np.linspace(0, 100, 101)\n", + "\n", "numpyro.render_model(\n", " model=linefit_model,\n", - " model_args=(xs,exponential),\n", - " render_distributions=True,\n", + " model_args=(x_data,),\n", " render_params=True,\n", + " render_distributions=True,\n", ")" ] }, @@ -332,26 +310,26 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 67, "id": "db72ad72-6f89-4c71-a1cd-fcbe502b73bd", "metadata": {}, "outputs": [], "source": [ - "true_thetas = [1, 0, 2]\n", - "xs = np.linspace(0, 100, 101)\n", - "ys = simulator(true_thetas)" + "true_thetas = [1, 5]\n", + "y_true = simulator(true_thetas)\n", + "y_true_no_noise = simulator_no_noise(true_thetas)" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 48, "id": "8dc505c7-61d3-45a6-9768-b26faaf8acec", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "39e12c2e586e4d91918a4163bd2d07e3", + "model_id": "4eff6b74f40d454ea622b638024ab3f0", "version_major": 2, "version_minor": 0 }, @@ -365,7 +343,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "0f83943730fa41a3906c89163a0b45eb", + "model_id": "01baeeb8f7d1439d91139573b650006d", "version_major": 2, "version_minor": 0 }, @@ -379,7 +357,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "2bc11f0b23154ac7b5c7293672e5a9c6", + "model_id": "68dc615aa9c64c2a9dc86fc30943ce91", "version_major": 2, "version_minor": 0 }, @@ -393,7 +371,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "f048854a41ab40479d666f29d29f1418", + "model_id": "af7339b7a1db4ecf9d8739a4e3f73ee9", "version_major": 2, "version_minor": 0 }, @@ -414,15 +392,14 @@ "# default is 0.8 80% \n", "mcmc = MCMC(nuts_kernel, num_samples=5000, num_warmup=100, num_chains = 4)\n", "rng_key = jax.random.PRNGKey(0)\n", - "mcmc.run(rng_key, xs,\n", - " exponential, y = ys)\n", + "mcmc.run(rng_key, x_data, y_data = y_true)\n", "\n", "posterior_samples = mcmc.get_samples()" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 49, "id": "3a603bb4-bff6-49c6-be0f-f51cf12540c5", "metadata": {}, "outputs": [ @@ -468,38 +445,26 @@ " \n", "
\n", " b\n", - " -0.130\n", - " 0.323\n", - " -0.614\n", - " 0.293\n", - " 0.012\n", - " 0.011\n", - " 1648.0\n", - " 1377.0\n", + " 3.652\n", + " 1.830\n", + " -0.013\n", + " 6.871\n", + " 0.025\n", + " 0.018\n", + " 5286.0\n", + " 7057.0\n", " 1.0\n", "
\n", "
\n", " m\n", - " 0.996\n", - " 0.005\n", - " 0.988\n", - " 1.004\n", + " 1.013\n", + " 0.032\n", + " 0.953\n", + " 1.074\n", " 0.000\n", " 0.000\n", - " 1974.0\n", - " 1897.0\n", - " 1.0\n", - "
\n", - "
\n", - " σ\n", - " 1.193\n", - " 0.055\n", - " 1.098\n", - " 1.289\n", - " 0.001\n", - " 0.001\n", - " 9495.0\n", - " 4218.0\n", + " 5384.0\n", + " 6837.0\n", " 1.0\n", "
\n", "
\n", @@ -508,17 +473,15 @@ ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n", - "b -0.130 0.323 -0.614 0.293 0.012 0.011 1648.0 1377.0 \n", - "m 0.996 0.005 0.988 1.004 0.000 0.000 1974.0 1897.0 \n", - "σ 1.193 0.055 1.098 1.289 0.001 0.001 9495.0 4218.0 \n", + "b 3.652 1.830 -0.013 6.871 0.025 0.018 5286.0 7057.0 \n", + "m 1.013 0.032 0.953 1.074 0.000 0.000 5384.0 6837.0 \n", "\n", " r_hat \n", "b 1.0 \n", - "m 1.0 \n", - "σ 1.0 " + "m 1.0 " ] }, - "execution_count": 28, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -530,19 +493,10 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 50, "id": "4a511b34-98f6-4182-b02b-bc1de6aeaac4", "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING:root:Too few points to create valid contours\n", - "WARNING:root:Too few points to create valid contours\n", - "WARNING:root:Too few points to create valid contours\n" - ] - }, { "data": { "text/plain": [ @@ -554,9 +508,9 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] }, "metadata": {}, @@ -566,8 +520,7 @@ "source": [ "# take a look at the posterior\n", "data = az.from_dict(\n", - " posterior={\"m\": posterior_samples[\"m\"][:], \"b\": posterior_samples[\"b\"][:],\n", - " \"σ\": posterior_samples[\"σ\"][:]},\n", + " posterior={\"m\": posterior_samples[\"m\"][:], \"b\": posterior_samples[\"b\"][:]},\n", "# sample_stats={\"diverging\": posterior[\"L\"][:,0] < 9.0},\n", ")\n", "plt.clf()\n", @@ -576,10 +529,111 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "id": "34c80304-7eea-44a0-8549-fb7aa2511726", + "metadata": {}, + "source": [ + "Time to do the posterior predictive check. For numpyro models, this is a little different and requires using the Predictive class with the model and posterior samples." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "bb156a1c-be56-42fb-8807-bd99dc8a7417", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "predictive = Predictive(linefit_model, posterior_samples)\n", + "posterior_predictive_samples = predictive(rng_key, x_data=x_data)['obs'].T\n", + "\n", + "predictive_no_noise = Predictive(linefit_model_no_noise, posterior_samples)\n", + "posterior_predictive_samples_no_noise = predictive_no_noise(rng_key, x_data=x_data)['obs'].T\n", + "\n", + "\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "'''\n", + "# plotting the individual points\n", + "# but this takes too long so commented out\n", + "for j in range(np.shape(posterior_predictive_samples)[1]):\n", + " \n", + " plt.scatter(x_data, posterior_predictive_samples[:,j], color=\"blue\", alpha=0.1, label = \"PPC\")\n", + " plt.scatter(x_data, posterior_predictive_samples_no_noise[:,j], color=\"pink\", alpha=0.1, label = \"PPC no noise\")\n", + " if j > 2:\n", + " break\n", + "'''\n", + "plt.fill_between(x_data,\n", + " np.mean(posterior_predictive_samples, axis = 1) - 1 * np.std(posterior_predictive_samples, axis = 1),\n", + " np.mean(posterior_predictive_samples, axis = 1) + 1 * np.std(posterior_predictive_samples, axis = 1),\n", + " color = '#FF495C', label = 'posterior predictive check with noise')\n", + "plt.fill_between(x_data,\n", + " np.mean(posterior_predictive_samples_no_noise, axis = 1) - 1 * np.std(posterior_predictive_samples_no_noise, axis = 1),\n", + " np.mean(posterior_predictive_samples_no_noise, axis = 1) + 1 * np.std(posterior_predictive_samples_no_noise, axis = 1),\n", + " color = '#98DFEA', label = 'posterior predictive check no noise')\n", + "\n", + "plt.scatter(x_data, y_true, label=\"Observed, True Data\", color=\"black\")\n", + "plt.plot(x_data, y_true_no_noise + true_sigma,\n", + " color = '#25283D', label = 'true input error std')\n", + "plt.plot(x_data, y_true_no_noise - true_sigma,\n", + " color = '#25283D')\n", + "\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"y\")\n", + "plt.title(\"Posterior Predictive Samples\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "id": "ea5171ea-1df2-4ffa-88ba-791d6f881691", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Another way to look at this would be to plop it on its side and look at the sigma values at each x\n", + "plt.hist(np.std(posterior_predictive_samples, axis = 1),\n", + " label = 'posterior predictive check with noise',\n", + " color = '#FF495C',\n", + " bins = 10)\n", + "plt.hist(np.std(posterior_predictive_samples_no_noise, axis = 1),\n", + " label = 'posterior predictive check no noise',\n", + " color = '#98DFEA',\n", + " bins = 10)\n", + "plt.axvline(x = true_sigma,\n", + " color = 'black',\n", + " label = 'true injected error')\n", + "plt.legend()\n", + "plt.show()" + ] + }, { "cell_type": "code", "execution_count": null, - "id": "ea355bad-561a-4564-9242-9491c7021aac", + "id": "60348ec4-2ff9-41c7-938a-50f6cbd53f3b", "metadata": {}, "outputs": [], "source": []