{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ksachdeva/rethinking-tensorflow-probability/blob/master/notebooks/13_models_with_memory.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 13. Models with Memory" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Install packages that are not installed in colab\n", "try:\n", " import google.colab\n", " %pip install -q watermark\n", " %pip install git+https://github.com/ksachdeva/rethinking-tensorflow-probability.git \n", "except:\n", " pass" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%load_ext watermark" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Core\n", "import numpy as np\n", "import arviz as az\n", "import pandas as pd\n", "import xarray as xr\n", "import tensorflow as tf\n", "import tensorflow_probability as tfp\n", "\n", "# visualization\n", "import matplotlib.pyplot as plt\n", "\n", "from rethinking.data import RethinkingDataset\n", "from rethinking.data import dataframe_to_tensors\n", "from rethinking.mcmc import sample_posterior\n", "\n", "\n", "# aliases\n", "tfd = tfp.distributions\n", "tfb = tfp.bijectors\n", "Root = tfd.JointDistributionCoroutine.Root\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "numpy : 1.21.5\n", "tensorflow : 2.7.0\n", "tensorflow_probability: 0.15.0\n", "arviz : 0.11.4\n", "scipy : 1.7.3\n", "pandas : 1.3.5\n", "rethinking : 0.1.0\n", "\n" ] } ], "source": [ "%watermark -p numpy,tensorflow,tensorflow_probability,arviz,scipy,pandas,rethinking" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# config of various plotting libraries\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 13.1 Example: Multilevel tadpoles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.1\n", "\n", "\n", "Reedfrogs dataset is about the tadpole mortality. The objective will be determine the `surv` out of an initial count, `density`.\n", "\n", "Author explains that within each tank there are things that go unmeasured and these unmeasured factors create variation in survival across tanks.\n", "\n", "These tanks are an example of **cluster** variable\n", "\n", "He argues that both of the approaches - \n", " * treat the tanks independetly i.e. each of them have their unique intecepts \n", " * treat them togather \n", "\n", "have issues. \n", "\n", "for e.g.\n", "\n", " - unique intecepts will imply that we are not using information from other tanks.\n", " - all togather will have the problem ignoring varations in baseline survival \n", " \n", "A multilevel model, in which we simultaneously estimate both an intercept for each tank and the variation among tanks, is what we want !\n", "\n", "This type of a model is called **Varying intercepts** model.\n", " \n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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densitypredsizesurvpropsurv
010nobig90.9
110nobig101.0
210nobig70.7
310nobig101.0
410nosmall90.9
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" ], "text/plain": [ " density pred size surv propsurv\n", "0 10 no big 9 0.9\n", "1 10 no big 10 1.0\n", "2 10 no big 7 0.7\n", "3 10 no big 10 1.0\n", "4 10 no small 9 0.9" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = RethinkingDataset.ReedFrogs.get_dataset()\n", "d.head()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.2\n", "\n", "Our simple model. This will give us 48 different intercepts. This means that it does not use the information available between each tank" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "d[\"tank\"] = np.arange(d.shape[0])\n", "alpha_sample_shape = d[\"tank\"].shape[0]\n", "\n", "# dat = dict(\n", "# S=tf.cast(d.surv.values, dtype=tf.float32),\n", "# N=tf.cast(d.density.values, dtype=tf.float32),\n", "# tank=d.tank.values)\n", "\n", "tdf = dataframe_to_tensors(\n", " \"ReedFrogs\", d, {\"tank\": tf.int32, \"surv\": tf.float32, \"density\": tf.float32}\n", ")\n", "\n", "\n", "def model_13_1(tid, density):\n", " def _generator():\n", " alpha = yield Root(\n", " tfd.Sample(tfd.Normal(loc=0.0, scale=1.5), sample_shape=alpha_sample_shape)\n", " )\n", " p = tf.sigmoid(tf.squeeze(tf.gather(alpha, tid, axis=-1)))\n", "\n", " S = yield tfd.Independent(\n", " tfd.Binomial(total_count=density, probs=p), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_1 = model_13_1(tdf.tank, tdf.density)\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:@custom_gradient grad_fn has 'variables' in signature, but no ResourceVariables were used on the forward pass.\n" ] }, { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%mcse_meanmcse_sdess_bulkess_tailr_hat
alpha[0]1.690.750.552.840.030.02549.08558.531.00
alpha[1]2.390.891.093.910.040.03589.34601.981.01
alpha[2]0.760.66-0.151.880.020.021014.27463.771.00
alpha[3]2.450.930.813.670.040.03449.24280.361.00
alpha[4]1.730.750.522.890.030.02896.25507.451.00
alpha[5]1.730.790.472.960.030.02593.25311.351.00
alpha[6]2.420.930.893.700.050.03425.15442.051.00
alpha[7]1.690.800.362.850.030.02611.75290.201.00
alpha[8]-0.380.64-1.370.600.020.021381.54535.611.00
alpha[9]1.720.790.362.840.030.02727.57265.941.00
alpha[10]0.780.64-0.181.940.020.021020.11495.851.01
alpha[11]0.360.60-0.571.290.020.021113.89446.641.00
alpha[12]0.740.61-0.081.750.020.021389.83518.751.01
alpha[13]0.030.58-0.880.900.020.021359.70492.521.00
alpha[14]1.740.780.633.010.030.02661.56712.141.00
alpha[15]1.720.770.713.160.030.03597.52448.201.01
alpha[16]2.590.691.453.650.020.02903.16457.621.00
alpha[17]2.150.581.273.090.020.021155.85236.471.01
alpha[18]1.830.541.012.750.020.021294.17179.771.01
alpha[19]3.110.831.944.490.030.03672.14389.571.00
alpha[20]2.130.631.073.020.020.021430.89381.101.00
alpha[21]2.150.571.303.000.020.011052.10458.961.00
alpha[22]2.150.611.243.100.020.011353.80360.771.01
alpha[23]1.530.520.612.270.010.011707.99252.961.01
alpha[24]-1.090.41-1.75-0.430.010.011539.39112.991.11
alpha[25]0.080.33-0.460.610.010.021433.46425.861.01
alpha[26]-1.530.41-2.15-0.850.010.011549.91291.661.01
alpha[27]-0.560.41-1.300.010.010.021206.49152.901.06
alpha[28]0.090.38-0.490.710.010.021942.36323.141.01
alpha[29]1.300.430.642.010.010.011928.74145.811.05
alpha[30]-0.730.46-1.38-0.070.010.032107.0435.901.14
alpha[31]-0.380.41-1.030.210.010.031244.35111.141.03
alpha[32]2.840.671.763.870.020.02826.42314.811.02
alpha[33]2.460.571.453.210.010.011578.30413.481.00
alpha[34]2.430.541.653.380.020.011129.76273.621.00
alpha[35]1.930.551.182.750.020.021242.6344.871.09
alpha[36]1.920.451.132.550.010.011527.36203.491.06
alpha[37]3.360.772.144.520.030.02526.90415.481.00
alpha[38]2.460.601.543.460.020.02932.69236.871.01
alpha[39]2.150.511.232.790.010.011427.04192.951.02
alpha[40]-1.910.45-2.60-1.090.010.01968.7873.511.03
alpha[41]-0.630.37-1.20-0.080.010.01818.55624.931.00
alpha[42]-0.500.33-1.05-0.020.010.011075.22689.031.00
alpha[43]-0.380.33-0.920.140.010.011002.48648.041.00
alpha[44]0.510.340.011.060.010.011042.91517.721.00
alpha[45]-0.620.34-1.15-0.090.010.01940.65692.341.00
alpha[46]1.870.461.222.640.010.011356.98118.921.06
alpha[47]-0.050.34-0.620.430.010.01869.65740.921.00
\n", "
" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5% mcse_mean mcse_sd ess_bulk \\\n", "alpha[0] 1.69 0.75 0.55 2.84 0.03 0.02 549.08 \n", "alpha[1] 2.39 0.89 1.09 3.91 0.04 0.03 589.34 \n", "alpha[2] 0.76 0.66 -0.15 1.88 0.02 0.02 1014.27 \n", "alpha[3] 2.45 0.93 0.81 3.67 0.04 0.03 449.24 \n", "alpha[4] 1.73 0.75 0.52 2.89 0.03 0.02 896.25 \n", "alpha[5] 1.73 0.79 0.47 2.96 0.03 0.02 593.25 \n", "alpha[6] 2.42 0.93 0.89 3.70 0.05 0.03 425.15 \n", "alpha[7] 1.69 0.80 0.36 2.85 0.03 0.02 611.75 \n", "alpha[8] -0.38 0.64 -1.37 0.60 0.02 0.02 1381.54 \n", "alpha[9] 1.72 0.79 0.36 2.84 0.03 0.02 727.57 \n", "alpha[10] 0.78 0.64 -0.18 1.94 0.02 0.02 1020.11 \n", "alpha[11] 0.36 0.60 -0.57 1.29 0.02 0.02 1113.89 \n", "alpha[12] 0.74 0.61 -0.08 1.75 0.02 0.02 1389.83 \n", "alpha[13] 0.03 0.58 -0.88 0.90 0.02 0.02 1359.70 \n", "alpha[14] 1.74 0.78 0.63 3.01 0.03 0.02 661.56 \n", "alpha[15] 1.72 0.77 0.71 3.16 0.03 0.03 597.52 \n", "alpha[16] 2.59 0.69 1.45 3.65 0.02 0.02 903.16 \n", "alpha[17] 2.15 0.58 1.27 3.09 0.02 0.02 1155.85 \n", "alpha[18] 1.83 0.54 1.01 2.75 0.02 0.02 1294.17 \n", "alpha[19] 3.11 0.83 1.94 4.49 0.03 0.03 672.14 \n", "alpha[20] 2.13 0.63 1.07 3.02 0.02 0.02 1430.89 \n", "alpha[21] 2.15 0.57 1.30 3.00 0.02 0.01 1052.10 \n", "alpha[22] 2.15 0.61 1.24 3.10 0.02 0.01 1353.80 \n", "alpha[23] 1.53 0.52 0.61 2.27 0.01 0.01 1707.99 \n", "alpha[24] -1.09 0.41 -1.75 -0.43 0.01 0.01 1539.39 \n", "alpha[25] 0.08 0.33 -0.46 0.61 0.01 0.02 1433.46 \n", "alpha[26] -1.53 0.41 -2.15 -0.85 0.01 0.01 1549.91 \n", "alpha[27] -0.56 0.41 -1.30 0.01 0.01 0.02 1206.49 \n", "alpha[28] 0.09 0.38 -0.49 0.71 0.01 0.02 1942.36 \n", "alpha[29] 1.30 0.43 0.64 2.01 0.01 0.01 1928.74 \n", "alpha[30] -0.73 0.46 -1.38 -0.07 0.01 0.03 2107.04 \n", "alpha[31] -0.38 0.41 -1.03 0.21 0.01 0.03 1244.35 \n", "alpha[32] 2.84 0.67 1.76 3.87 0.02 0.02 826.42 \n", "alpha[33] 2.46 0.57 1.45 3.21 0.01 0.01 1578.30 \n", "alpha[34] 2.43 0.54 1.65 3.38 0.02 0.01 1129.76 \n", "alpha[35] 1.93 0.55 1.18 2.75 0.02 0.02 1242.63 \n", "alpha[36] 1.92 0.45 1.13 2.55 0.01 0.01 1527.36 \n", "alpha[37] 3.36 0.77 2.14 4.52 0.03 0.02 526.90 \n", "alpha[38] 2.46 0.60 1.54 3.46 0.02 0.02 932.69 \n", "alpha[39] 2.15 0.51 1.23 2.79 0.01 0.01 1427.04 \n", "alpha[40] -1.91 0.45 -2.60 -1.09 0.01 0.01 968.78 \n", "alpha[41] -0.63 0.37 -1.20 -0.08 0.01 0.01 818.55 \n", "alpha[42] -0.50 0.33 -1.05 -0.02 0.01 0.01 1075.22 \n", "alpha[43] -0.38 0.33 -0.92 0.14 0.01 0.01 1002.48 \n", "alpha[44] 0.51 0.34 0.01 1.06 0.01 0.01 1042.91 \n", "alpha[45] -0.62 0.34 -1.15 -0.09 0.01 0.01 940.65 \n", "alpha[46] 1.87 0.46 1.22 2.64 0.01 0.01 1356.98 \n", "alpha[47] -0.05 0.34 -0.62 0.43 0.01 0.01 869.65 \n", "\n", " ess_tail r_hat \n", "alpha[0] 558.53 1.00 \n", "alpha[1] 601.98 1.01 \n", "alpha[2] 463.77 1.00 \n", "alpha[3] 280.36 1.00 \n", "alpha[4] 507.45 1.00 \n", "alpha[5] 311.35 1.00 \n", "alpha[6] 442.05 1.00 \n", "alpha[7] 290.20 1.00 \n", "alpha[8] 535.61 1.00 \n", "alpha[9] 265.94 1.00 \n", "alpha[10] 495.85 1.01 \n", "alpha[11] 446.64 1.00 \n", "alpha[12] 518.75 1.01 \n", "alpha[13] 492.52 1.00 \n", "alpha[14] 712.14 1.00 \n", "alpha[15] 448.20 1.01 \n", "alpha[16] 457.62 1.00 \n", "alpha[17] 236.47 1.01 \n", "alpha[18] 179.77 1.01 \n", "alpha[19] 389.57 1.00 \n", "alpha[20] 381.10 1.00 \n", "alpha[21] 458.96 1.00 \n", "alpha[22] 360.77 1.01 \n", "alpha[23] 252.96 1.01 \n", "alpha[24] 112.99 1.11 \n", "alpha[25] 425.86 1.01 \n", "alpha[26] 291.66 1.01 \n", "alpha[27] 152.90 1.06 \n", "alpha[28] 323.14 1.01 \n", "alpha[29] 145.81 1.05 \n", "alpha[30] 35.90 1.14 \n", "alpha[31] 111.14 1.03 \n", "alpha[32] 314.81 1.02 \n", "alpha[33] 413.48 1.00 \n", "alpha[34] 273.62 1.00 \n", "alpha[35] 44.87 1.09 \n", "alpha[36] 203.49 1.06 \n", "alpha[37] 415.48 1.00 \n", "alpha[38] 236.87 1.01 \n", "alpha[39] 192.95 1.02 \n", "alpha[40] 73.51 1.03 \n", "alpha[41] 624.93 1.00 \n", "alpha[42] 689.03 1.00 \n", "alpha[43] 648.04 1.00 \n", "alpha[44] 517.72 1.00 \n", "alpha[45] 692.34 1.00 \n", "alpha[46] 118.92 1.06 \n", "alpha[47] 740.92 1.00 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NUM_CHAINS_FOR_13_1 = 2\n", "\n", "init_state = [tf.zeros([NUM_CHAINS_FOR_13_1, alpha_sample_shape])]\n", "\n", "bijectors = [tfb.Identity()]\n", "\n", "posterior_13_1, trace_13_1 = sample_posterior(\n", " jdc_13_1,\n", " observed_data=(tdf.surv,),\n", " params=[\"alpha\"],\n", " num_chains=NUM_CHAINS_FOR_13_1,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n", "\n", "az.summary(trace_13_1, round_to=2, kind=\"all\", hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.3\n", "\n", "We now build a multilevel model, which adaptively pools information across tanks.\n", "\n", "In order to do so, we must make the prior for the parameter **alpha** a function of some new parameters.\n", "\n", "Prior itself has priors !\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def model_13_2(tid, density):\n", " def _generator():\n", " a_bar = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=1.5), sample_shape=1))\n", " sigma = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " alpha = yield tfd.Sample(\n", " tfd.Normal(loc=a_bar, scale=sigma), sample_shape=alpha_sample_shape\n", " )\n", " p = tf.sigmoid(tf.squeeze(tf.gather(alpha, tid, axis=-1)))\n", "\n", " S = yield tfd.Independent(\n", " tfd.Binomial(total_count=density, probs=p), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_2 = model_13_2(tdf.tank, tdf.density)\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "NUM_CHAINS_FOR_13_2 = 2\n", "\n", "init_state = [\n", " tf.zeros([NUM_CHAINS_FOR_13_2]),\n", " tf.ones([NUM_CHAINS_FOR_13_2]),\n", " tf.zeros([NUM_CHAINS_FOR_13_2, alpha_sample_shape]),\n", "]\n", "\n", "bijectors = [tfb.Identity(), tfb.Exp(), tfb.Identity()]\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%mcse_meanmcse_sdess_bulkess_tailr_hat
a_bar1.360.270.921.760.020.01246.09141.341.01
sigma1.630.191.331.920.020.0192.70203.421.02
alpha[0]2.200.850.763.250.110.0866.95184.571.03
alpha[1]2.840.891.374.260.110.0866.38115.341.04
alpha[2]1.000.64-0.081.870.060.04120.36349.001.02
alpha[3]3.061.101.274.660.150.1155.44101.041.04
alpha[4]2.240.890.863.580.090.0699.44155.051.02
alpha[5]2.100.910.773.520.120.0973.2081.461.02
alpha[6]3.311.111.735.100.130.0978.86108.231.01
alpha[7]2.270.900.893.800.090.0797.13173.721.04
alpha[8]-0.170.59-1.080.750.040.03177.96250.451.01
alpha[9]2.201.030.633.850.140.1051.2982.841.02
alpha[10]0.990.69-0.112.010.070.05107.70235.441.02
alpha[11]0.520.63-0.491.450.060.04130.30204.021.02
alpha[12]1.050.68-0.062.100.060.05118.30162.211.01
alpha[13]0.210.64-0.941.140.050.03176.85150.611.01
alpha[14]1.990.800.713.220.080.0695.43135.631.01
alpha[15]2.230.960.743.720.170.1233.13116.411.07
alpha[16]2.910.801.574.000.080.06122.6982.091.01
alpha[17]2.350.641.263.230.050.04169.26375.771.02
alpha[18]1.910.541.212.900.050.04111.54290.941.01
alpha[19]3.881.012.365.280.170.1348.2973.891.08
alpha[20]2.430.701.343.510.070.05108.59232.921.00
alpha[21]2.390.681.393.420.060.04131.49150.861.02
alpha[22]2.410.691.273.420.070.05127.38114.061.01
alpha[23]1.690.520.852.510.040.03215.23335.731.01
alpha[24]-0.990.44-1.61-0.200.020.02373.94355.071.01
alpha[25]0.150.41-0.500.780.020.01428.57183.621.00
alpha[26]-1.410.50-2.25-0.740.030.02256.64400.711.00
alpha[27]-0.460.39-1.130.080.020.01427.54485.251.00
alpha[28]0.150.40-0.430.800.020.02309.25332.081.00
alpha[29]1.470.540.672.360.040.03190.29201.581.01
alpha[30]-0.640.44-1.260.100.020.02425.36459.301.00
alpha[31]-0.290.40-0.890.380.020.01383.48384.371.00
alpha[32]3.260.812.064.350.090.0779.0289.161.03
alpha[33]2.610.611.703.530.050.03169.95285.471.01
alpha[34]2.800.631.753.650.070.0573.29172.661.02
alpha[35]2.070.501.282.860.030.02258.99182.421.00
alpha[36]2.090.531.272.870.040.03198.06224.071.00
alpha[37]3.920.982.545.680.120.0970.54104.011.03
alpha[38]2.710.691.783.870.060.04125.98225.001.01
alpha[39]2.380.601.473.290.040.03207.69184.391.00
alpha[40]-1.820.49-2.69-1.120.030.02271.10205.991.00
alpha[41]-0.610.35-1.16-0.120.010.01556.46302.481.00
alpha[42]-0.430.33-0.880.180.010.01685.73574.271.00
alpha[43]-0.330.34-0.800.260.020.01349.55407.171.02
alpha[44]0.620.34-0.001.050.020.01515.33275.381.00
alpha[45]-0.600.35-1.16-0.070.010.01579.76526.521.00
alpha[46]2.030.511.212.770.030.02225.41328.641.01
alpha[47]0.010.32-0.460.530.010.01560.10568.561.00
\n", "
" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5% mcse_mean mcse_sd ess_bulk \\\n", "a_bar 1.36 0.27 0.92 1.76 0.02 0.01 246.09 \n", "sigma 1.63 0.19 1.33 1.92 0.02 0.01 92.70 \n", "alpha[0] 2.20 0.85 0.76 3.25 0.11 0.08 66.95 \n", "alpha[1] 2.84 0.89 1.37 4.26 0.11 0.08 66.38 \n", "alpha[2] 1.00 0.64 -0.08 1.87 0.06 0.04 120.36 \n", "alpha[3] 3.06 1.10 1.27 4.66 0.15 0.11 55.44 \n", "alpha[4] 2.24 0.89 0.86 3.58 0.09 0.06 99.44 \n", "alpha[5] 2.10 0.91 0.77 3.52 0.12 0.09 73.20 \n", "alpha[6] 3.31 1.11 1.73 5.10 0.13 0.09 78.86 \n", "alpha[7] 2.27 0.90 0.89 3.80 0.09 0.07 97.13 \n", "alpha[8] -0.17 0.59 -1.08 0.75 0.04 0.03 177.96 \n", "alpha[9] 2.20 1.03 0.63 3.85 0.14 0.10 51.29 \n", "alpha[10] 0.99 0.69 -0.11 2.01 0.07 0.05 107.70 \n", "alpha[11] 0.52 0.63 -0.49 1.45 0.06 0.04 130.30 \n", "alpha[12] 1.05 0.68 -0.06 2.10 0.06 0.05 118.30 \n", "alpha[13] 0.21 0.64 -0.94 1.14 0.05 0.03 176.85 \n", "alpha[14] 1.99 0.80 0.71 3.22 0.08 0.06 95.43 \n", "alpha[15] 2.23 0.96 0.74 3.72 0.17 0.12 33.13 \n", "alpha[16] 2.91 0.80 1.57 4.00 0.08 0.06 122.69 \n", "alpha[17] 2.35 0.64 1.26 3.23 0.05 0.04 169.26 \n", "alpha[18] 1.91 0.54 1.21 2.90 0.05 0.04 111.54 \n", "alpha[19] 3.88 1.01 2.36 5.28 0.17 0.13 48.29 \n", "alpha[20] 2.43 0.70 1.34 3.51 0.07 0.05 108.59 \n", "alpha[21] 2.39 0.68 1.39 3.42 0.06 0.04 131.49 \n", "alpha[22] 2.41 0.69 1.27 3.42 0.07 0.05 127.38 \n", "alpha[23] 1.69 0.52 0.85 2.51 0.04 0.03 215.23 \n", "alpha[24] -0.99 0.44 -1.61 -0.20 0.02 0.02 373.94 \n", "alpha[25] 0.15 0.41 -0.50 0.78 0.02 0.01 428.57 \n", "alpha[26] -1.41 0.50 -2.25 -0.74 0.03 0.02 256.64 \n", "alpha[27] -0.46 0.39 -1.13 0.08 0.02 0.01 427.54 \n", "alpha[28] 0.15 0.40 -0.43 0.80 0.02 0.02 309.25 \n", "alpha[29] 1.47 0.54 0.67 2.36 0.04 0.03 190.29 \n", "alpha[30] -0.64 0.44 -1.26 0.10 0.02 0.02 425.36 \n", "alpha[31] -0.29 0.40 -0.89 0.38 0.02 0.01 383.48 \n", "alpha[32] 3.26 0.81 2.06 4.35 0.09 0.07 79.02 \n", "alpha[33] 2.61 0.61 1.70 3.53 0.05 0.03 169.95 \n", "alpha[34] 2.80 0.63 1.75 3.65 0.07 0.05 73.29 \n", "alpha[35] 2.07 0.50 1.28 2.86 0.03 0.02 258.99 \n", "alpha[36] 2.09 0.53 1.27 2.87 0.04 0.03 198.06 \n", "alpha[37] 3.92 0.98 2.54 5.68 0.12 0.09 70.54 \n", "alpha[38] 2.71 0.69 1.78 3.87 0.06 0.04 125.98 \n", "alpha[39] 2.38 0.60 1.47 3.29 0.04 0.03 207.69 \n", "alpha[40] -1.82 0.49 -2.69 -1.12 0.03 0.02 271.10 \n", "alpha[41] -0.61 0.35 -1.16 -0.12 0.01 0.01 556.46 \n", "alpha[42] -0.43 0.33 -0.88 0.18 0.01 0.01 685.73 \n", "alpha[43] -0.33 0.34 -0.80 0.26 0.02 0.01 349.55 \n", "alpha[44] 0.62 0.34 -0.00 1.05 0.02 0.01 515.33 \n", "alpha[45] -0.60 0.35 -1.16 -0.07 0.01 0.01 579.76 \n", "alpha[46] 2.03 0.51 1.21 2.77 0.03 0.02 225.41 \n", "alpha[47] 0.01 0.32 -0.46 0.53 0.01 0.01 560.10 \n", "\n", " ess_tail r_hat \n", "a_bar 141.34 1.01 \n", "sigma 203.42 1.02 \n", "alpha[0] 184.57 1.03 \n", "alpha[1] 115.34 1.04 \n", "alpha[2] 349.00 1.02 \n", "alpha[3] 101.04 1.04 \n", "alpha[4] 155.05 1.02 \n", "alpha[5] 81.46 1.02 \n", "alpha[6] 108.23 1.01 \n", "alpha[7] 173.72 1.04 \n", "alpha[8] 250.45 1.01 \n", "alpha[9] 82.84 1.02 \n", "alpha[10] 235.44 1.02 \n", "alpha[11] 204.02 1.02 \n", "alpha[12] 162.21 1.01 \n", "alpha[13] 150.61 1.01 \n", "alpha[14] 135.63 1.01 \n", "alpha[15] 116.41 1.07 \n", "alpha[16] 82.09 1.01 \n", "alpha[17] 375.77 1.02 \n", "alpha[18] 290.94 1.01 \n", "alpha[19] 73.89 1.08 \n", "alpha[20] 232.92 1.00 \n", "alpha[21] 150.86 1.02 \n", "alpha[22] 114.06 1.01 \n", "alpha[23] 335.73 1.01 \n", "alpha[24] 355.07 1.01 \n", "alpha[25] 183.62 1.00 \n", "alpha[26] 400.71 1.00 \n", "alpha[27] 485.25 1.00 \n", "alpha[28] 332.08 1.00 \n", "alpha[29] 201.58 1.01 \n", "alpha[30] 459.30 1.00 \n", "alpha[31] 384.37 1.00 \n", "alpha[32] 89.16 1.03 \n", "alpha[33] 285.47 1.01 \n", "alpha[34] 172.66 1.02 \n", "alpha[35] 182.42 1.00 \n", "alpha[36] 224.07 1.00 \n", "alpha[37] 104.01 1.03 \n", "alpha[38] 225.00 1.01 \n", "alpha[39] 184.39 1.00 \n", "alpha[40] 205.99 1.00 \n", "alpha[41] 302.48 1.00 \n", "alpha[42] 574.27 1.00 \n", "alpha[43] 407.17 1.02 \n", "alpha[44] 275.38 1.00 \n", "alpha[45] 526.52 1.00 \n", "alpha[46] 328.64 1.01 \n", "alpha[47] 568.56 1.00 " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "posterior_13_2, trace_13_2 = sample_posterior(\n", " jdc_13_2,\n", " observed_data=(tdf.surv,),\n", " params=[\"a_bar\", \"sigma\", \"alpha\"],\n", " num_chains=NUM_CHAINS_FOR_13_2,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n", "\n", "az.summary(trace_13_2, round_to=2, kind=\"all\", hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.4" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# we must compute the likelhood before using arviz to do comparison\n", "def compute_and_store_log_likelihood_for_model_13_1():\n", "\n", " sample_alpha = posterior_13_1[\"alpha\"]\n", "\n", " ds, _ = jdc_13_1.sample_distributions(value=[sample_alpha, None])\n", "\n", " log_likelihood_13_1 = ds[-1].distribution.log_prob(tdf.surv).numpy()\n", "\n", " # we need to insert this in the sampler_stats\n", " sample_stats_13_1 = trace_13_1.sample_stats\n", "\n", " coords = [\n", " sample_stats_13_1.coords[\"chain\"],\n", " sample_stats_13_1.coords[\"draw\"],\n", " np.arange(48),\n", " ]\n", "\n", " sample_stats_13_1[\"log_likelihood\"] = xr.DataArray(\n", " log_likelihood_13_1,\n", " coords=coords,\n", " dims=[\"chain\", \"draw\", \"log_likelihood_dim_0\"],\n", " )\n", "\n", "\n", "compute_and_store_log_likelihood_for_model_13_1()\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def compute_and_store_log_likelihood_for_model_13_2():\n", "\n", " sample_abar = posterior_13_2[\"a_bar\"]\n", " sample_sigma = posterior_13_2[\"sigma\"]\n", " sample_alpha = posterior_13_2[\"alpha\"]\n", "\n", " ds, _ = jdc_13_2.sample_distributions(\n", " value=[sample_abar, sample_sigma, sample_alpha, None]\n", " )\n", "\n", " log_likelihood_13_2 = ds[-1].distribution.log_prob(tdf.surv).numpy()\n", "\n", " # we need to insert this in the sampler_stats\n", " sample_stats_13_2 = trace_13_2.sample_stats\n", "\n", " coords = [\n", " sample_stats_13_2.coords[\"chain\"],\n", " sample_stats_13_2.coords[\"draw\"],\n", " np.arange(48),\n", " ]\n", "\n", " sample_stats_13_2[\"log_likelihood\"] = xr.DataArray(\n", " log_likelihood_13_2,\n", " coords=coords,\n", " dims=[\"chain\", \"draw\", \"log_likelihood_dim_0\"],\n", " )\n", "\n", "\n", "compute_and_store_log_likelihood_for_model_13_2()\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ksachdeva/rethinkingtfp/lib/python3.7/site-packages/arviz/stats/stats.py:695: UserWarning: Estimated shape parameter of Pareto distribution is greater than 0.7 for one or more samples. You should consider using a more robust model, this is because importance sampling is less likely to work well if the marginal posterior and LOO posterior are very different. This is more likely to happen with a non-robust model and highly influential observations.\n", " \"Estimated shape parameter of Pareto distribution is greater than 0.7 for \"\n", "/Users/ksachdeva/rethinkingtfp/lib/python3.7/site-packages/arviz/stats/stats.py:695: UserWarning: Estimated shape parameter of Pareto distribution is greater than 0.7 for one or more samples. You should consider using a more robust model, this is because importance sampling is less likely to work well if the marginal posterior and LOO posterior are very different. This is more likely to happen with a non-robust model and highly influential observations.\n", " \"Estimated shape parameter of Pareto distribution is greater than 0.7 for \"\n" ] }, { "data": { "text/html": [ "
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rankloop_lood_looweightsedsewarningloo_scale
m13.20-106.47693827.1653710.0000001.000000e+004.1618540.000000Truelog
m13.11-116.73384935.37708910.2569111.634248e-133.2196803.786033Truelog
\n", "
" ], "text/plain": [ " rank loo p_loo d_loo weight se \\\n", "m13.2 0 -106.476938 27.165371 0.000000 1.000000e+00 4.161854 \n", "m13.1 1 -116.733849 35.377089 10.256911 1.634248e-13 3.219680 \n", "\n", " dse warning loo_scale \n", "m13.2 0.000000 True log \n", "m13.1 3.786033 True log " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.compare({\"m13.1\": trace_13_1, \"m13.2\": trace_13_2})\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.5" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 261, "width": 385 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compute median intercept for each tank\n", "# also transform to probability with logistic\n", "\n", "sample_alpha = trace_13_2.posterior[\"alpha\"].values[0]\n", "d[\"propsurv.est\"] = tf.sigmoid(np.mean(sample_alpha, 0)).numpy()\n", "\n", "# display raw proportions surviving in each tank\n", "plt.plot(np.arange(1, 49), d.propsurv, \"o\", alpha=0.5, zorder=3)\n", "plt.gca().set(ylim=(-0.05, 1.05), xlabel=\"tank\", ylabel=\"proportion survival\")\n", "plt.gca().set(xticks=[1, 16, 32, 48], xticklabels=[1, 16, 32, 48])\n", "\n", "# overlay posterior means\n", "plt.plot(np.arange(1, 49), d[\"propsurv.est\"], \"ko\", mfc=\"w\")\n", "\n", "sample_a_bar = trace_13_2.posterior[\"a_bar\"].values[0]\n", "\n", "# mark posterior mean probability across tanks\n", "plt.gca().axhline(\n", " y=tf.reduce_mean(tf.sigmoid(sample_a_bar)).numpy(), c=\"k\", ls=\"--\", lw=1\n", ")\n", "\n", "# draw vertical dividers between tank densities\n", "plt.gca().axvline(x=16.5, c=\"k\", lw=0.5)\n", "plt.gca().axvline(x=32.5, c=\"k\", lw=0.5)\n", "plt.annotate(\"small tanks\", (8, 0), ha=\"center\")\n", "plt.annotate(\"medium tanks\", (16 + 8, 0), ha=\"center\")\n", "plt.annotate(\"large tanks\", (32 + 8, 0), ha=\"center\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is how to read above plot -\n", "\n", "* The dashed line locates the average proportion of survivors across all tanks\n", "* The vertical lines divide tanks with different initial densities of tadpoles: small tanks (10 tad- poles), medium tanks (25), and large tanks (35).\n", "* Empirical proportions of survivors in each tadpole tank, shown by the filled blue points, plotted with the 48 per-tank parameters from the multilevel model, shown by the black circles\n", "\n", "In every tank, the posterior mean from the multilevel model is closer to the dashed line than the empir- ical proportion is." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.6" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 252, "width": 387 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sample_sigma = trace_13_2.posterior[\"sigma\"].values[0]\n", "\n", "# show first 100 populations in the posterior\n", "plt.subplot(xlim=(-3, 4), ylim=(0, 0.35), xlabel=\"log-odds survive\", ylabel=\"Density\")\n", "for i in range(100):\n", " x = np.linspace(-3, 4, 101)\n", " plt.plot(\n", " x,\n", " tf.exp(tfd.Normal(sample_a_bar[i], sample_sigma[i]).log_prob(x)),\n", " \"k\",\n", " alpha=0.2,\n", " )\n", "plt.show()\n", "\n", "# sample 8000 imaginary tanks from the posterior distribution\n", "idxs = np.random.randint(size=(8000,), low=0, high=499)\n", "\n", "sim_tanks = tfd.Normal(sample_a_bar[idxs], sample_sigma[idxs]).sample()\n", "\n", "# transform to probability and visualize\n", "az.plot_kde(tf.sigmoid(sim_tanks).numpy(), bw=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 13.2 Varying effects and the underlying/overfitting trade-off" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.2.1 The model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.2.2 Assign values to the parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.7" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "a_bar = 1.5\n", "sigma = 1.5\n", "nponds = 60\n", "Ni = np.repeat(np.array([5, 10, 25, 35]), repeats=15)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.8" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "a_pond = tfd.Normal(a_bar, sigma).sample((nponds,))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.9" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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pondNitrue_a
count60.00000060.00000060.000000
mean30.50000018.7500001.432340
std17.46424912.0248681.396624
min1.0000005.000000-1.580498
25%15.7500008.7500000.393558
50%30.50000017.5000001.443768
75%45.25000027.5000002.262524
max60.00000035.0000004.542233
\n", "
" ], "text/plain": [ " pond Ni true_a\n", "count 60.000000 60.000000 60.000000\n", "mean 30.500000 18.750000 1.432340\n", "std 17.464249 12.024868 1.396624\n", "min 1.000000 5.000000 -1.580498\n", "25% 15.750000 8.750000 0.393558\n", "50% 30.500000 17.500000 1.443768\n", "75% 45.250000 27.500000 2.262524\n", "max 60.000000 35.000000 4.542233" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dsim = pd.DataFrame(dict(pond=range(1, nponds + 1), Ni=Ni, true_a=a_pond))\n", "\n", "dsim.describe()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.10" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n" ] } ], "source": [ "print(type(range(3)))\n", "print(type(np.arange(3)))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.2.3 Simulate survivors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.11" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "dsim[\"Si\"] = tfd.Binomial(\n", " tf.cast(dsim.Ni.values, dtype=tf.float32), logits=dsim.true_a.values\n", ").sample()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.2.4 Compute the no-pooling estimates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.12" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "dsim[\"p_nopool\"] = dsim.Si / dsim.Ni\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.2.5 Compute partial pooling estimates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.13" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "alpha_sample_shape = dsim.pond.shape[0]\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "dsim[\"pond_adj\"] = dsim.pond.values - 1\n", "\n", "tdf = dataframe_to_tensors(\n", " \"SimulatedPonds\",\n", " dsim,\n", " {\"Si\": tf.float32, \"true_a\": tf.float32, \"Ni\": tf.float32, \"pond_adj\": tf.int32},\n", ")\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "def model_13_3(pid, N):\n", " def _generator():\n", " a_bar = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=1.5), sample_shape=1))\n", " sigma = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " alpha = yield tfd.Sample(\n", " tfd.Normal(loc=a_bar, scale=sigma), sample_shape=alpha_sample_shape\n", " )\n", " p = tf.sigmoid(tf.squeeze(tf.gather(alpha, pid, axis=-1)))\n", "\n", " Si = yield tfd.Independent(\n", " tfd.Binomial(total_count=N, probs=p), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_3 = model_13_3(tdf.pond_adj, tdf.Ni)\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "NUM_CHAINS_FOR_13_3 = 2\n", "\n", "init_state = [\n", " tf.zeros([NUM_CHAINS_FOR_13_3]),\n", " tf.ones([NUM_CHAINS_FOR_13_3]),\n", " tf.zeros([NUM_CHAINS_FOR_13_3, alpha_sample_shape]),\n", "]\n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "bijectors = [tfb.Identity(), tfb.Exp(), tfb.Identity()]\n" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:@custom_gradient grad_fn has 'variables' in signature, but no ResourceVariables were used on the forward pass.\n" ] } ], "source": [ "posterior_13_3, trace_13_3 = sample_posterior(\n", " jdc_13_3,\n", " observed_data=(tdf.Si,),\n", " params=[\"a_bar\", \"sigma\", \"alpha\"],\n", " num_chains=NUM_CHAINS_FOR_13_3,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.14" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%mcse_meanmcse_sdess_bulkess_tailr_hat
a_bar1.340.211.051.690.020.01161.19116.981.05
sigma1.370.161.121.620.020.0176.50149.511.03
alpha[0]0.150.74-0.901.430.070.05120.84219.441.00
alpha[1]0.230.80-0.951.580.090.0688.87192.831.01
alpha[2]1.530.880.262.990.100.0774.60112.711.01
..............................
alpha[55]1.830.471.082.530.030.02245.42300.101.01
alpha[56]1.820.471.102.550.030.02309.98387.491.00
alpha[57]0.600.340.081.170.020.01466.81346.491.00
alpha[58]-0.300.36-0.890.230.010.01631.71445.501.00
alpha[59]0.740.360.231.390.020.01388.83395.291.00
\n", "

62 rows × 9 columns

\n", "
" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5% mcse_mean mcse_sd ess_bulk \\\n", "a_bar 1.34 0.21 1.05 1.69 0.02 0.01 161.19 \n", "sigma 1.37 0.16 1.12 1.62 0.02 0.01 76.50 \n", "alpha[0] 0.15 0.74 -0.90 1.43 0.07 0.05 120.84 \n", "alpha[1] 0.23 0.80 -0.95 1.58 0.09 0.06 88.87 \n", "alpha[2] 1.53 0.88 0.26 2.99 0.10 0.07 74.60 \n", "... ... ... ... ... ... ... ... \n", "alpha[55] 1.83 0.47 1.08 2.53 0.03 0.02 245.42 \n", "alpha[56] 1.82 0.47 1.10 2.55 0.03 0.02 309.98 \n", "alpha[57] 0.60 0.34 0.08 1.17 0.02 0.01 466.81 \n", "alpha[58] -0.30 0.36 -0.89 0.23 0.01 0.01 631.71 \n", "alpha[59] 0.74 0.36 0.23 1.39 0.02 0.01 388.83 \n", "\n", " ess_tail r_hat \n", "a_bar 116.98 1.05 \n", "sigma 149.51 1.03 \n", "alpha[0] 219.44 1.00 \n", "alpha[1] 192.83 1.01 \n", "alpha[2] 112.71 1.01 \n", "... ... ... \n", "alpha[55] 300.10 1.01 \n", "alpha[56] 387.49 1.00 \n", "alpha[57] 346.49 1.00 \n", "alpha[58] 445.50 1.00 \n", "alpha[59] 395.29 1.00 \n", "\n", "[62 rows x 9 columns]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(trace_13_3, round_to=2, kind=\"all\", hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.15" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "sample_alpha = trace_13_3.posterior[\"alpha\"].values[0]\n", "dsim[\"p_partpool\"] = tf.reduce_mean(tf.sigmoid(sample_alpha)).numpy()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.16" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "dsim[\"p_true\"] = tf.sigmoid(dsim.true_a.values).numpy()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.17" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "nopool_error = (dsim.p_nopool - dsim.p_true).abs()\n", "partpool_error = (dsim.p_partpool - dsim.p_true).abs()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.18" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 261, "width": 385 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(range(1, 61), nopool_error, label=\"nopool\", alpha=0.8)\n", "plt.gca().set(xlabel=\"pond\", ylabel=\"absolute error\")\n", "plt.scatter(range(1, 61), partpool_error, label=\"partpool\", alpha=0.8)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.19" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "dsim[\"nopool_error\"] = nopool_error\n", "dsim[\"partpool_error\"] = partpool_error\n", "nopool_avg = dsim.groupby(\"Ni\")[\"nopool_error\"].mean()\n", "partpool_avg = dsim.groupby(\"Ni\")[\"partpool_error\"].mean()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Overthiking: Repeating the pond simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.20" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "a_bar = 1.5\n", "sigma = 1.5\n", "nponds = 60\n", "Ni = np.repeat(np.array([5, 10, 25, 35]), repeats=15)\n", "a_pond = tfd.Normal(a_bar, sigma).sample((nponds,)).numpy()\n", "dsim = pd.DataFrame(dict(pond=range(1, nponds + 1), Ni=Ni, true_a=a_pond))\n", "dsim[\"Si\"] = tfd.Binomial(\n", " tf.cast(dsim.Ni.values, dtype=tf.float32), logits=dsim.true_a.values\n", ").sample()\n", "dsim[\"p_nopool\"] = dsim.Si / dsim.Ni\n", "\n", "newdat = dict(\n", " Si=tf.cast(dsim.Si.values, dtype=tf.float32),\n", " Ni=tf.cast(dsim.Ni.values, dtype=tf.float32),\n", " pond=dsim.pond.values - 1,\n", ")\n", "\n", "jdc_13_3new = model_13_3(newdat[\"pond\"], newdat[\"Ni\"])\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "posterior_13_3new, trace_13_3new = sample_posterior(\n", " jdc_13_3new,\n", " observed_data=(newdat[\"Si\"],),\n", " params=[\"a_bar\", \"sigma\", \"alpha\"],\n", " num_chains=NUM_CHAINS_FOR_13_3,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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dtLW1ceaZZ3LnnXceUn7fvn186Utf4iUveQnz588nlUpx5JFH8vKXv5z77rtv1NcwM1auXMnOnTt529vexrx582hoaOD666/HzLjhhhsAWLx4MWaGmbFo0aIDz1+5ciVmxuDgIB//+MdZvHgxTU1NHHvssVx55ZVkMqMnj7zrrru44IIL6OzspKmpiSVLlvCRj3yEffv2jVr+8ccf541vfCPz5s0jlUrxnOc8hze+8Y08/vjjk3hnq0stAyIiIiJhsH0trPkCdG/xrQDTjgEbVm/r8pDe49evuQra54SihWDTpk288IUv5MQTT+Qd73gHO3bs4KabbuLCCy/kv/7rv1i1ahUAjz76KB/72Mc466yzuPjii5k5cyZbt27lJz/5Cbfffjs//elPueCCCw7bfldXF6effjrt7e286lWvIpFIMGfOHD71qU/x4x//mD/96U+8733vo6OjA+DA43Cvfe1ruf/++7n00ktpbGzk1ltv5dOf/jQPPPAAP/nJTzA7mHzyG9/4Bv/wD/9AW1sbr3nNa5g9ezZr1qzhi1/8Ij/96U+55557DnmN+++/n3PPPZeenh5e/vKX87znPY8NGzbwne98h1tvvZVf/epXnHLKKYG+50FSMCAiIiISButugN6dPhBoO/Lw9ZY4uLx3py8fgmDgt7/9LR/84Af50pe+dGDZe97zHl74whfyzne+kwsvvJDp06dzwgkn8PTTT3PEEUcc8vzt27dz6qmn8v73v3/UYODhhx/msssu47rrriOZPHjreuGFF7J582b+9Kc/cfnllx/SIjDSo48+yv/8z/8wc+ZMAD7/+c9z9tln87Of/YzvfOc7XHbZZQBs2bKF9773vbS3t/PHP/6RpUuXHtjGu971Lv7P//k/fPjDH+b//t//C4Bzjje+8Y3s37+f73znO7z+9a8/UP6mm27ida97HZdddhmPPPIIiUQ4O+SEc69ERERE4qQ4WDiThtZZ45dt6fTlnlrrn1djM2bM4JOf/OQhy04++WRe//rX093dzS233HKg3MhAAGD+/PlceumlbNiwga1btx62PpVK8eUvf/mQQKBcn/jEJw4EAgDNzc1cddVVAFx33XUHln/nO98hk8nwnve855BAAHwAMW3aNL797W8zODgIwL333suGDRt44QtfeEggALBq1SrOPPNMHnvsMX73u99Net8rTcGAiIiISK0VBwun2g/tGjSaRAOk2nz5p9ZWZ//GsXz5cqZNm3bY8pUrVwLw4IMPHlh2zz338NrXvpYFCxbQ1NR0oJ//tddeC8BTTz112HYWLVrE7Nmzp7SPL37xiw9bduaZZ9LQ0HDI/q1btw6Al7zkJYeVnzlzJieddBIDAwNs2LBhwvLDlw9/jbBRNyEREakPSsMoUTaULmQNKvHWLJH05YfSld2vEsyZM2fU5XPnzgU4MOj2lltu4dJLL6W5uZmXvvSlHHvssbS1tZFIJFizZg2/+c1vDtS4j7adoPcxmUxyxBFHsGvXrgPLivt61FFHjbqd4vLu7u5JlQ8jBQMiIhJtSsMo9aCx1Z+3QwOllc9nobHFP6/GnnnmmVGX79y5E/Ddg8B31UmlUjzwwAOccMIJh5R9xzvewW9+85tRtzN8cO9U9nHhwoWHLMtms+zevZvp06cfWFbc1507d/L85z//sO3s2LHjkHLDy49mZPkwUjchERGJrgilYRQZ17wVPoDN9PqsQePJ5yDTdzDgrbF169bR09Nz2PI1a9YAcNJJJwHwxBNP8LznPe+wQCCfz0+6T31DQwMAuVxu3HKjBRq/+93vyOVyB/Zv+L4W93247u5u1q9fT3Nz84H/YbzyAHfffTfgu1KFlYIBERGJpuFpGBsaofMYmDYX2o7wj53HQKLxYBrG7bXvWy0yps7FhYCg1acPHU9/ly8Xkq5w+/bt4zOf+cwhyx544AFuvPFGZsyYwStf+UrA9/1//PHHefrppw+Uc87x6U9/mkceeWRSrz1rlh9sPdrA4+E++9nPsnfv3gN/DwwMcMUVVwDw5je/+cDyN7zhDTQ2NnLttdfyxBNPHLKNT3ziE+zfv583vOENNDU1AXDGGWdw/PHH87vf/Y4f/OAHh5T/wQ9+wH//93+zZMkSzjzzzEn9f9WgbkIiIhJNEU3DKDKm5avh6Qd9AAs+a1Ci4eD6fM4HAple6Djalw+Bs846i29+85v84Q9/4Iwzzjgwz0A+n+cb3/jGgW4473//+3nnO9/JSSedxKtf/WoaGxu55557eOSRR/jbv/1bfvrTn5b92ueccw5f+tKXePvb386rX/1qpk2bRkdHB+95z3sOKXfCCSfw/Oc//5B5Bp588kkuvvjiA2lFwQcsV199Ne9+97tZvnw5r33taznyyCP5zW9+w3333cfSpUv54he/eKB8ceKzl770paxatYpXvOIVLF26lMcee4wf//jHTJs2jW9961uhTSsKahkQEZEoinAaRpExzV8BKz/ib/TzQ7B3E/TsgL5n/ePeTX55x9Gw8orQBLeLFy/m3nvvZebMmXz961/n5ptvZvny5dx2220HJhwDPy7gP//zPznqqKO44YYbuPHGG1mwYAF/+MMfJt2N5vzzz+crX/kKjY2NXH311XziE5/gy1/+8mHlbr75Zt7ylrfw05/+lH/9138ln8/z6U9/mh/+8IeHjUl417vexR133MHpp5/OD3/4Q7761a+ya9cuPvShD3HffffR2dl5SPnTTjuN+++/n7/7u7/jvvvu40tf+hL33nsv/+t//S/uv/9+TjvttEn9b9Vizrla70NdMrO1y5cvX752rZqlRUQC9/AP4Nef9WMDppWQaaRnhx9s+ZJPwImXVn7/pG49+uijAIf1ew9URAbFb968mcWLF7N69Wquv/76Wu/OqFauXMlvfvMbonq/W+r5tmLFCtatW7fOOVf2iaFuQiIiEj0RTsMoMqH5K/yP0uVKFSgYEBGR6IlwGkaRknUu1s2/VJzGDIiISPREOA2jiEiYqGVARESip5iGsW+XT8M4WjahopClYRSpF4sWLQp9X/yx8v/LQWoZEBGRaFq+Gtrn+taBvmd9C8Bw+Zxfnun15UKShlFEJEwUDIiISDRFNA2jiEiYqJuQiIhE19KLfa3/yDSMjS2+61CI0jCKiJSjWl2wFAyIiEi0KQ2jVJGZ4Zwjn8+HelZZib5iMDByUrSgKRgQEZH6oDSMUgVNTU0MDAzQ19fHtGnTar07Usf6+voAf85VkkJaERERkRIVA4CdO3fS09NDPp8PfUYdiY5iq1NPTw87d+4EqHjQqZYBERERkRJ1dnbS19dHOp1m+/bttd4dqXOtra10dnZW9DUUDIiIiIiUKJFIsGDBArq6uujp6WFwcFAtAxIoM6OpqYlp06bR2dlZ8bEpCgZEREREypBIJDjiiCM44ogjar0rIlOmMQMiIiIiIjGlYEBEREREJKYUDIiIiIiIxJSCARERERGRmFIwICIiIiISUwoGRERERERiSsGAiIiIiEhMKRgQEREREYkpBQMiIiIiIjGlYEBEREREJKYUDIiIiIiIxJSCARERERGRmFIwICIiIiISUwoGRERERERiSsGAiIiIiEhMKRgQEREREYkpBQMiIiIiIjGlYEBEREREJKYUDIiIiIiIxJSCARERERGRmFIwICIiIiISUwoGRERERERiSsGAiIiIiEhMKRgQEREREYkpBQMiIiIiIjGlYEBEREREJKYUDIiIiIiIxJSCARERERGRmFIwICIiIiISUwoGRERERERiSsGAiIiIiEhMRTIYMLP5ZnadmT1tZoNmttnMrjazmVPY5llmljMzZ2afC3J/RURERETCKFnrHSiXmR0L3AvMBm4FNgCnAu8DLjCzM5xze8rc5jTgBiANtAe7xyIiIiIi4RTFloF/xwcC73XOXeKc+4hz7iXAvwDHA5+fxDavAWYAVwW3myIiIiIi4RapYKDQKnAesBn4txGrPwX0AZeZWVsZ23wF8GbgvcDTweypiIiIiEj4RSoYAM4uPN7pnMsPX+Gc6wHuAVqB00vZmJnNBv4f8GPn3HeC3FERERERkbCL2piB4wuPG8dY/zi+5WAJcFcJ2/t/+IDonZPdITNbO8aqpZPdpoiIiIhINUQtGJhReNw3xvri8o6JNmRmbwFeDqxyzj0z9V0TEREREYmWqAUDgTCzRcDVwPedczdPZVvOuRVjvMZaYPlUti0iEjldm+CptTCUhsZWmLcCOhfXeq9ERGQMUQsGijX/M8ZYX1zePcF2rgP6gXcFsE8iIrJ9Lay7wQcCmV7I5yDRAKl2HxAsXw3zR607EaksBagi44paMPBY4XHJGOuPKzyONaagaDk+cHjWzEZb/zEz+xhwq3PuknJ3UkQkVjb8HNZ8AXp2+huuVDskkjA0AH27oW8XPP0grLwCll5U672VuFCAKlKSqAUDdxcezzOzxPCMQoWJw87ATxz2+wm28y181qGRjgPOAtYDa4EHp7rDIiJ1bftaHwh0b/E3WdOOARuWqM7lIb3Hr19zFbTP0Q2YVJ4CVJGSRSoYcM49aWZ34jMGvRu4dtjqK4E24BvOub7iQjNbWnjuhmHbee9o2zezN+GDgZ875z4e+D8gIlJv1t0AvTv9zVbbkYevt8TB5b07fXkFA1JJClBFyhK1eQbA9/PfBXzNzH5sZleZ2a+B9+O7B31sRPlHCz8iIhKkYl/sTBpaZ41ftqXTl3tqrX+eSKWMDFBtxK1OMUBNtR8MUEViLHLBgHPuSeBk4HrgNOADwLHANcDpzrk9tds7EZEYKfbFTrUffsM1UqIBUm2+/FNjTc8iMkUKUEXKFqluQkXOuW3Am0ssO+oI4THKXo8PMkREZCJD6cKgzBK/ShJJX34oXdn9kviaSoCqDEMSU5FrGRARkZBobPU3VPlsaeXzWV++cbT8DSIBUIAqUjYFAyIiMjnzVvga2EyvH5Q5nnwOMn0H0zqKVIICVJGyKRgQEZHJ6VxcCAhafXaW8fR3+XKa8EkqSQGqSNkUDIiIyOQtXw3tc/3NV9+z/gZruHzOL8/0+nLLV9dmPyUeFKCKlE3BgIiITN78FbDyI9BxNOSHYO8m6NnhA4CeHf7v/JBfv/IK5XOXylOAKlKWSGYTEhGREFl6sb+pWnfDwWwu+Rw0tvh87vNW+BsuBQJSDcUAdc0X/DwCezf5rEGJpB8jkOnzLQIKUEUABQMiIhKE+Sv8TzHP+1DaD8pUFwypBQWoIiVTMCAiIsHpXKybfwkHBagiJVEwICIiIvVLAarIuDSAWEREREQkphQMiIiIiIjElIIBEREREZGYUjAgIiIiIhJTCgZERERERGJKwYCIiIiISEwpGBARERERiSkFAyIiIiIiMaVgQEREREQkphQMiIiIiIjElIIBEREREZGYUjAgIiIiIhJTCgZERERERGJKwYCIiIiISEwpGBARERERiSkFAyIiIiIiMaVgQEREREQkpgIJBszsjWZ2fhDbEhERERGR6giqZeA64IKAtiUiIiIiIlUQVDCwM8BtiYiIiIhIFQR1A/8L4GwzU0AgIiIiIhIRQd28fwyYBvyHmR0R0DZFRERERKSCkgFt57vAPuCNwOvMbDO+65AbUc45584J6DVFRERERGQKggoGVg77vQk4vvAz0sjgQKS6ujbBU2thKA2NrTBvBXQurvVeiYiIiNREIMGAc05jBSTctq+FdTf4QCDTC/kcJBog1e4DguWrYf6KWu+liIiISFUF1TIgEl4bfg5rvgA9O32LQKodEkkYGoC+3dC3C55+EFZeAUsvqvXeioiIiFSNggGpb9vX+kCge4sPAqYdA8OTXrk8pPf49WuugvY5aiEQERGR2Ai0e4+Zvc7MfmVme8wsa2ZdZvZLM3tdkK8jUrJ1N0DvTh8ItB15aCAA/u+2I/363p2+vIiIiEhMBBIMmPdt4EbgJcB04Fl8utFzgBvN7MYgXkukZMXBwpk0tM4av2xLpy/31Fr/PBEREZEYCKpl4B3A64F1wLlAs3PuKKC58PdafMrRdwb0eiITKw4WTrUf3iIwUqIBUm2+/FNrq7N/IiIiIjUWVDDwFmAzcJZz7tfOuRyAcy7nnPs18OLC+rcG9HoiExtKF7IGlTg0JpH05YfSld0vERERkZAIagDx84BvOOf6R1vpnOs3sx/jWxBEqqOx1df4Dw2UVj6fhcYW/7yI2Lonzfrt3fRnsrSkkiyb38HCWdHZfxEREamtoIIBB9gEZSZaLxKseSt8F6G+3T5r0HhdhfI5yPT5wcTzwp9NaP22bm66fyvrt3XTN5gjl3c0JIy2pgaWLehg1SkLWbago9a7KSIiIiEXVDDwKPAqM/vYaK0DZtYCXAI8EtDriUysc7G/se/b5dOHth05dtn+LkhFY0biO/9nJ9fc9Ti79g+SHsrSlkqSTBgDQ3n29A2yuyfDQ9v3cfm5S3jp8+bUendFREQkxIIaM3AdsBD4rZmdY2ZJADNrMLOzgbuBowvlRKpn+Wpon+sHBvc961sAhsvn/PJMry+3fHVt9rNE67d1c81dj7OtK01jg7Gos40505uZ1d7EnOnNLOpso7HB2NaV5upfbWT9tu5a77KIiIiEWFDBwDeA7wIrgDuBfjN7BhgAfgWcCnzfOff1gF5PpDTzV8DKj0DH0ZAfgr2boGeHDwB6dvi/80N+/corQj/h2E33b2XX/kHam5LMam8ikTi0910iYcxqb6K9Kcmu/YPcdP/WGu2piIiIREEg3YSccw54vZn9DJ9Z6CSgE9gHPAhc55z7bhCvJVK2pRf7Wv91NxxMN5rP+cHCxTECy1eHPhDYuifN+m3dpIeyLJrWNm7Zma0pNnf1sX5bN1v3pDWoWEREREYVSDBgZmcB+ws3/Lrpl/CZv8L/FCciG0r7rEERGCNQtH67Hyzclkoe1iIwUiJhtKWS9A3mWL+9W8GAiIiIjCqoAcR347sKvSug7YlURufiyNz8j9SfyZLLO5ITBAJFyYSRyzv6M9kK75mIiIhEVVBjBnYDo84xICLBaEklaUgY2bwrqXy2kG60JRVUzC8iIiL1JqhgYA3wooC2JSKjWDa/g7amBvoyWfITBAT5vKMvk/XzDszvqM4OioiISOQEFQx8HDjezD5rZo0BbVNEhlk4q5VlCzpobUyyN50Zt+zedIbWxiTLFmhGYhERERlbUP0HrgD+DHwUeKuZ/QnYiZ+ZeDjnnHtrQK8pEjurTlnIQ9v3sa0rDfisQcMHE+fzjr3pDL2DWRZ0trLqlIW12lURERGJgKCCgTcN+31u4Wc0DlAwIDJJyxZ08L5zjjswA/Hmrr4DMxBnC12DWhuTLOhs5fJzl7BsQUetd1lERERCLKhgIJrpWUQi6Lznz2X29GZuun8r67f5dKO5vKO5McGs9hTLFnSw6pSFCgRERERkQkEFA0fj5xlYH9D2RGQcyxZ0sGxBh5+IbHs3/ZksLakky+ZrjICIiIiUTvMMiETYwlmtuvkXERGRSdM8AyIiIiIiMaV5BkREREREYkrzDIiIiIiIxJTmGRARERERiSnNMyAiIiIiElORnGfAzOYDnwEuAGYBO4AfA1c65/aWuI0PAWcDzwOOAPLAFuCXwFedc9uD33MRERERkfAIJBhwzm0JYjulMLNjgXuB2cCtwAbgVOB9wAVmdoZzbk8Jm3oH0Av8BngGaAROAt6P7+q00jn3YAX+BRERERGRUAiqZaCa/h0fCLzXOXdtcaGZfRV/I/954J0lbOcFzrmBkQvN7O3A/y1s56JA9lhEREREJISCyiYEgJn9rZl9z8z+ZGZPDFt+gpl92MzmTXH7xwLnAZuBfxux+lNAH3CZmbVNtK3RAoGCmwuPx01yN0VERESC17UJHv4BrPuWf+zaVOs9kjoQSMuAmRlwPfCGwqJ+oGVYkb3A/wYM+OIUXurswuOdzrn88BXOuR4zuwcfLJwO3DXJ1/jbwuNDk3y+iIiISHC2r4V1N8BTayHTC/kcJBog1Q7zVsDy1TB/Ra33UiIqqG5C7wIuA64DPoDvrvOJ4krn3M7CjfrFTC0YOL7wuHGM9Y/jg4EllBgMmNnbgPlAO3AicC5+IPFHSnz+2jFWLS3l+SIiIiJj2vBzWPMF6NkJQ2kfACSSMDQAfbuhbxc8/SCsvAKWqnezlC+oYOCtwJ+AtzvnnJmNnF8A/I36+VN8nRmFx31jrC8u7yhjm28DThv29/3A3znnnhijvIiIiEjlbV/rA4HuLT4ImHYM2LAe3i4P6T1+/ZqroH2OWgikbEGNGTgeuNs5N1oQULQLODKg1wuMc+5055zh04ueV1i81sxKClyccytG+8FnORIRERGZnHU3QO9OHwi0HXloIAD+77Yj/frenb68SJmCCgayQPMEZebhU3lORbHmf8YY64vLu8vdsHNuj3Pul/iAoB/4tpm1TPA0ERERkeB1bSqMEUhD66zxy7Z0+nJPrdWgYilbUMHAI8DKwkDiw5hZM/ASYKp5+x8rPC4ZY30xA9BYYwom5JzrBu7Dt2I8f7LbEREREZm04mDhVPvhLQIjJRog1ebLPzXWUEaR0QU1ZuDbwL8C/2Jm/zR8hZk1AF8FnkOJg3LHcXfh8TwzSwzPKGRm04AzgDTw+ym+TjEFanaK2xEREamsYg3yUBoaW312mc7Ftd4rmaqhdCFrUIm3aomkLz+Urux+Sd0JKhj4BvBy4L3Aa4AeADP7AT7N53OAW51zN07lRZxzT5rZnfiuPO8Grh22+kqgDfiGc66vuNDMlhaeu2HYsoXAoHPumZGvYWbvAE4BtgEPT2V/RUREKkbpJutbY6s/nkNjTYs0Qj4LjS3+eSJlCCQYcM7lzOxlwMeB9wBHFVa9Ct9//7OFnyC8C7gX+JqZnQM8is8GdDa+e9DHRpR/tPA4vAvTcuD7ZnYf8ATwDDALH7iciB/bcJlzLhfQPouIiARH6Sbr37wV/rj27fZZg8brKpTPQabPDyaepwBQyhNUywDOuSzwaTO7Et+nfxZ+wO+GIG+qC60DJwOfAS4ALgJ2ANcAVzrn9pawmXWF8n+Dn/ugExgA/gJ8BbjGObctqH0WEREJjNJNxkPnYn9j37fLH8+2cRIy9ndBSl3EZHICCwaKCulFH5uw4NReYxvw5hLLHjao2Tm3Ffhg0PslIiJScSPTTY5UTDcJB9NNKhiIpuWrfQtP9xb/d0un7zpUlM/5QCDTCx1H+/IiZQoqm5CIiIhUmtJNxsv8FbDyI/5GPz8EezdBzw7oe9Y/7t3kl3cc7buEKeiTSQi8ZUBEREQqZCrpJtV9JJqWXgztcw8fLN7YcnCMgAaLyxQoGBAREYkKpZuMp/kr/I/SyEoFKBgQERGJCqWbjLfOxbr5l8BpzICIiEhUFNNNZnp91qDxFNNNFucdEBEZhYIBERGRqCimm0y1+nST41G6SREpQUWCATObaWYLKrFtERGRWFu+2g8ozfT6rDL5EVP55HN+eabXl1O6SREZR2DBgJm1m9lXzGwnsBvYNGzdaWZ2m5ktD+r1REREYknpJkUkQIEMIDazGcDvgOcD6/HBwAnDijyMn+33f+Fn/xUREZHJUrpJEQlIUNmEPoYPBN7knPuWmX0K+GRxpXMubWa/Ac4J6PVERETiTekmRSQAQQUDrwLucM59a5wyW4BTAno9ERERAaWbFJEpCWrMwHzgoQnK9AIzAno9ERERERGZoqCCgR5g9gRlFuPHEoiIiIiISAgE1U3ofuBlZjbNOdczcqWZHQVcBPwsoNcTkXKoT7GIiIiMIqhg4BrgduA2M/v74SvM7ATg/wHNwNcCej0RKcX2tYdnG0k0HJyRVNlGREREYi2QYMA5d4eZXQl8CvgzMARgZruBmYAB/59z7t4gXk9ESrDh57DmC9Cz07cIpNohkYShAejbDX274OkHfR7ypRfVem9FwkctaiISA0G1DOCcu9LMfgu8FzgdmAU44DbgX5xzvw7qtURkAtvX+kCge4sPAqYdAzZsiJDLQ3qPX7/mKmifoxYCkSK1qIlIjAQWDAA45+4G7g5ymyIyCetugN6d/ual7cjD11vi4PLenb68bm6kmsJa664WNRGJmaBmIH4jsN45N2Z6UTM7EThpgrkIRGSqijdZmTR0HjN+2ZZO2Fso37UpHDdjUt/CXOuuFjURiaGgUoteD1wyQZmXA/8Z0OuJyFiKN1mp9kNvZEaTaIBUmy//1Nrq7J/E14afw88uh8duh72bfW27c/5x72bYeLtfv+G22uzfyBa1kZ+fYotaqv1gi5qISMQFFQyUogE/hkBEKmkoXahtLbHhL5H05YfSld0vibfhte4Njb7VatpcaDvCP3YeA4nGg7Xu26scnA5vUWudNX7Zlk5frtiiJiISYdUMBpYAe6v4eiLx1Njqa/zz2dLK57O+fGNrZfdL4i3ste5qURORmJr0mAEzu27EokvMbNEoRRuAhcDfAD+f7OuJSInmrfA3NH27fR/n8W5s8jnI9PmbsHnq+ywVEoVxLGpRE5GYmsoA4jcN+90Bywo/o3HAH4D3T+H1RKQUnYv9jX3fLj/YcbRsQkX9XZAKUSYXqU9TqXWv1nlZbFEbGiitfD4LjS1qURORyJtKMFC8QhvwF+Bq/EzEI+WAvc65vim8loiUY/lqn/6we4v/u6XT3+gU5XM+EMj0QsfRvrxIpUSh1l0taiISU5MOBpxzW4q/F2Yfvnv4MhGpofkrYOVH/IDN3p2+20WqrXCTlfU3MqlWHwisvELpEaWyolDrrhY1EYmpQOYZcM5dGcR2RCRASy+G9rmH53RvbDlYo6mZVKUaolLrrhY1EYmhoCYdW1hqWefc1iBeU0RKMH+F/wnrbK8SD1GpdVeLmojEUCDBALCZ0uYQcAG+poiUqnOxbv6ltqJS664WNRGJmaBuzL/F6MFABz7D0NHAGkBjCkRE4ihKte5qURORGAlqzMCbxlpnZgngE8A7AXWwFBGJq6jVuqtFTURioOJddpxzeeBKM7sA+ALw+kq/poiIhJRq3UVEQqWa/ffvBd5YxdcTEZGwUq27iEgoTDAVZKA6gbYqvp6IiIiIiIyjKsGAmZ0LrAL+XI3XExERERGRiQU1z8Cvx9n+AqA4D8Fngng9ERERERGZuqDGDKwcY7kD9gJ3AF92zo0VNIiIiIiISJUFlVq0mmMPRMJFWVFEREQkojQbsMhkbV97eL70RAOk2sOXL11ERERkFAoGRCZjw8/9TKo9O32LQKrdz6Q6NAB9u6FvFzz9oJ9JdelFtd5bERERkVFNKhgws0nPF+Cc+9ZknysSCtvX+kCge4sPAqYdAzasp5zLQ3qPX7/mKmifoxYCERERCaXJtgxcjx8cXA4rPEfBQCWp/3rlrbsBenf6QKDtyMPXW+Lg8t6dvryCgfqhz5iIxJGufXVrssHAmwPdC5k69V+vjuLFMJOGzmPGL9vSCXsL5bs26aIZdfqMiUgc6dpX9yYVDDjnbgh6R2QK1H+9eooXw1T7oV2DRpNogFSbL//UWgUDUabPmIjEka59saABxFGn/uvVNZQu1IqU+NFJJH35oXRl90sqR58xEYkjXftiI9BgwMxagVcBJwEdwD5gHXCLc64vyNeSgjD1X49Df8LGVl/jPzRQWvl8Fhpb/PMkmsL0GRMRqRZd+2IjsGDAzC4CbgA68YOFixzwL2b2Zufcz4J6PSE8/dfj1J9w3gr/f/Xt9rUi43UVyucg0+cvlvPq5P+Pm7B8xkREqknXvlgJZOZgM1sO/AjfGnAj8BbgwsLjjYXlPzAz3REFaSr914Oy4efws8vhsdth72ZfY+6cf9y7GTbe7tdvuC2416ylzsWFgKDVN4+Op7/Ll6vHFpK4CMNnTESk2nTti5WgWgY+hm8B+Bvn3O9HrLvezP4NWAN8FHh1QK8p1ei/Pl7Xn7j2J1y+2g+Y6t7i/27p9BfDonzOBwKZXug42peXaNIYERGJI137YiWoYOBvgO+PEggA4Jz7g5n9ADg/oNcTqGz/9VK6/sS1P+H8FbDyIz4Q6t3pm0dTbYWLYdZ3DUq1+kBg5RX18T/HlcaIiEgc6doXK0EFAzOAbROU2QpMD+j1BCrXf72UVGJbfw/Z/vj2J1x6MbTPPTxgamw5+B7X01iJuNIYERGJI137YiWoYOBp4NQJypwM7Ajo9QQO9l/v2+W744xWO19Uav/1Urv+7NvqLwBN0+Kbb3/+Cv8ThyxKcVWJz5iISNjp2hcrgQwgBm4DXmJmHzGzhuErzCxhZh8Azi2UkyAtX+1rqDO90Pesv0EfLp/zyzO9vtxE/ddHdv0ZeaNf7PrT0OSbBUttQqzn/oSdi+HES2H5G/2jLob1JejPmIhIFOjaFxtBBQOfBXYCnweeMLNvmdkXzewG4HHgnwvrPxfQ60lRsf96x9GQH/LdcXp2+A9ozw7/d36otP7rw1OJtc4a/3WbpvmsQblByGUm3s981rcQqD+hRE2QnzERkajQtS82Aukm5JzbaWZnAN8AXgocPaLIL4F3OufUTagSguq/Xk4qsVS7v7nP52CwZ/zgQf0JJeo0RkRE4kjXvlgIbNIx59xm4Hwzm4efgXgGfgbiB51zTwX1OjKGIPqvl5NKLNkEDSlwAxMHA+pPKPVAY0REJI507at7gQUDRYUbf93810rn4sl/OMtNJZZs9t1/coO+2VD59iUOpvIZExGJKl376lbgwcBwZrYUPxNxGviec25fJV9PpqjcVGK5jG8+TLX6m37l2xcRERGJlEAGEJvZJ81sh5l1Dlt2LvAg8GXg34F1ZjbBqFSpqWIqsVSrTyU2nmLXn2PPhlf8Oyy5EGYu8v0ILeEfZy7yy192NSy9qAr/gIiIiIiUI6iWgQuBDc65rmHLrgIc8ClgLvAu4H3AJwN6TamE5avh6Qf9PANQWtcf9ScUERERiaSggoFFwC3FPwqDiFcAX3XOfa6wbClwCQoGwq2YSmzNF/x8A+V0/VF/QhEREZFICSoYmAkMbxU4A98q8LNhy9YC7wjixcxsPvAZ4AJgFn5m4x8DVzrn9pbw/DZ8YHIxsBxYAOSBx4DvAtc650pInl+n6jiV2NY9adZv76Y/k6UllWTZ/A4WztLcByIiIhJPQQUDzwLzhv19NjAE/GHYshQBjFEws2OBe4HZwK3ABuBUfBekC8zsDOfcBB3e+RvgO/gA5m58IDETeDl+jMOrzOwc51yJaXXqUJ11/Vm/rZub7t/K+m3d9A3myOUdDQmjramBZQs6WHXKQpYt6Kj1boqIiIhUVVDBwHrg5Wb2AmAAWAX8zjnXP6zMInwN/lT9Oz4QeK9z7triQjP7KvB+/CzI75xgGzuBNwDfH94CYGYfBNYALwLeDXwlgP2Ntjro+nPn/+zkmrseZ9f+QdJDWdpSSZIJY2Aoz56+QXb3ZHho+z4uP3cJL33enFrvroiIiEjVBJJNCPhn/CRjf8J3tZnBsBtpM2vAdx16YCovUmgVOA/YDPzbiNWfAvqAywrdgMbknFvvnLtxZFcg51zPsP1eOZV9lXBYv62ba+56nG1daRobjEWdbcyZ3sys9ibmTG9mUWcbjQ3Gtq40V/9qI+u3ddd6l0VERESqJpCWAefcf5vZy4C348cK3Oicu31YkRfhJyK7ZbTnl+HswuOdzrn8iH3oMbN78MHC6cBdk3yNocJjdpLPlxC56f6t7No/SHtTklntTYetTyTswPJd+we56f6tvrtQnXSPEhERERlPYJOOOed+AfxijHX/DZwUwMscX3jcOMb6x/HBwBImHwy8pfA46v8ykpmtHWPV0km+vgRk654067d1kx7KsmjauI1FzGxNsbmrj/SmP9L7/a/TvvtPBwdOJxr8ZGwRHjgtIiIiMpqKzkBcATMKj2PNZFxc3jGZjZvZe/AZitYD101mGxIe67f7wcJtqSSJhI1bNpEwLkyu4+293yf5xH5wAz4ASCRhaMDPyty3y8/BsPIKTaImE1PrkoiIRECgwYCZvR5fs34SMB3YD6wD/tM5d2OQrxU0M3sVcDV+cPGrnXND4z/Dc86NWk1caDFYHtgOStn6M1lyeUdygkAA4Lihx3h7/mae43aRs2kw8xg/k3KRy/tZmbu3wJqroH2OWghkdNvXHp6WV61LIiISUoEEA2bWCPwAeBlgQA6fbvQI4CXA2Wb2WuDSUm+yx1Cs+Z8xxvri8u5yNmpmlwDfA3YBZzvn/jKZnZNwaUklaShkDZrIeYN3MMvtpc9aaG6edWggAP7vtiP97707/c2ebuhkpA0/9xP29ez0LQJqXRIRkZALKpvQFcDf4ucVOBtods4dBTTjg4E/4gOF/2+Kr/NY4XHJGOuPKzyONabgMGb2GuD7wDPAi51zj03wFImIZfM7aGtqoC+TJZ93Y5abk9vBkuxGmt0APTadllTD2Btt6YRM2tf6dm2qwF5LZG1f6wOB7i3Q0Aidx8C0udB2hH/sPAYSjQdbl7aPNdxIRESkeoIKBt4IPAGsdM79xjmXA3DO5Zxza/BpOv8CvGmKr3N34fE8s0Orbs1sGj59aRr4fSkbK3Rr+i7wND4QeHyK+ychsnBWK8sWdNDamGRveuwJpZdkN9KUS5O2FlqaGmlqGOdjkWiAVJvv/vGUbuZkmHU3+FajVLtvRRqrdSnVfrB1SUREpMaCCgbmA7eOzNtf5JwbxM8WPG+09aVyzj0J3ImfwOzdI1ZfCbQB33bO9RUXmtlSMzsss4+ZrQa+BWwFzlLXoPq06pSFzJ7eRO9glj29g4e1EOTzjuxAL5AHS9LZlpp4o4mk7wc+lK7MTkv0FAcLZ9LQOmv8smpdEhGREAlqAPHTQOMEZRoL5abqXcC9wNfM7BzgUeA0fPekjcDHRpR/tPB4YBSpmZ2NzxaUwLc2vNnssEGm3c65qwPYX6mhZQs6eN85xx2YgXhzV9+BGYizeUdfJstfNzSRSDQwPZWnuXGcLkJF+Sw0tvgMMSJwcLBwqv3wFoGRRrYuKcOQiIjUUFDBwH8BbzKzTzrn9o9caWYdwKXAf0z1hZxzT5rZycBn8GlALwJ2ANcAVzrn9pawmaM52CryljHKbMFnF5KIO+/5c5k9vZmb7t/K+m0+3Wgu72huTDCrPUXH7NOZ8ewvaO7d5rMGjXczl89Bps9395inAcRSMJQuZA0q8ZKq1iUREQmJoIKBzwAvAP5oZp8BfosfkDsHeDHwCfwg4s8G8WLOuW3Am0sse1iVv3PueuD6IPZFomHZgg6WLejwE5Ft76Y/k6UllWTZ/A4WzmqFn9wGG/f49KHFrEGj6e+ClHLGV0SU8/I3tvoa/6GB0sqrdUlEREJiUsGAmeWB0dKzGPDtMZYfB/RP9jUlYFG+8ZqChbNa/c3/SMtX+5SP3Vv83y2d/uauKJ/zgUCmFzqO9uUlGJXMy1+t83zeCr+/fbvVuiQiIpEy2Rvz3zJ6MCBhV6cTIo1Z41+q+Stg5Ud8asjenbB3k+/XnUj6WtxMn28R6Dja54iP4HsUSpXKy1/t87xzsd9u3y61LomIBC2mFZjVMqlgwDm3MuD9kGqowwmR1m/rPmwsQEPCaGtqYNmCDladspBlCzpK29jSi6F97uE3kY0tB2txIxoshdLwvPypdpgW0KzPtTrP1bokIhKsOq3ADBt12YmLSt141dCd/7PzQJag9FD2QJaggaE8e/oG2d2T4aHt+7j83CW89HlzStvo/BX+R7UQlTcyL/9Ik5n1uZbn+WRblyJwrk255U1EpFx1WIEZVgoG4qISN141tH5bN9fc9TjbutK0NyVZNK2NROLgWPF83rE3nWFbV5qrf7WRI6c1ld5CAP5mLGQ3ZHVleF7+zmPGL9vS6W+si3n5xzsutT7Py2ldikCNV6Atb5MVgWBJ6oTOtfCowwrMMAs0GDCzo4Bz8JOLNY1SxDnnAskoJGWo1I1XDd10/1Z27R+kvSnJrPbDT7VEwg4s37V/kJvu31r5mxYpXSXy8oflPC+ldSkCNV4VaXkrRwSCJakTOtfCp9YVOzETWDBgZlcCHxmxTePgQOPi7woGqq3OJkTauifN+m3dpIeyLJrWNm7Zma0pNnf1sX5bN1v3pNW1ISymmpd/tBvtsJ3nY7UuRaDGq+ItbxOJQLAkdULnWviEpWInRgIJBszs9fi5BH4N/BvwQ3we/zuBlcBbge8D3wji9aRMdTYh0vrtvstCWyp5yA3KaBIJoy2VpG8wx/rt3QoGwmKyefl7dsJP3jt6DV7TdBjqh8REk6EX1Oo8j0CNV01b3iIQLEmd0LkWTmGr2ImBoFoG/gHYDlzgnMuaGcBm59z3gO+Z2S3Az4HvBvR6Uo46mxCpP5Mll3ckJwgEipIJI5d39GeyFd4zKdlk8vI3NMGffwjprtFr8CwB2QF/3rYdMfE+1OI8j0CNV81b3iIQLI1K/c2jJ6rnWr2rswrMKAgqGDgR+K5zbvjd1oGces65O8zsDuBDwE8Dek0pVZ1NiNSSStJQ6Ltcimze0dyYoCWl8fKhUW5e/oZGX/MzuG/sGrzeZwpl9h+sVRpLrc7zCNR41bTlLQLB0mHU3zyaoniuxUWdVWBGwQTfRiVrBPYM+7sfmDGizJ+Bvw7o9aQcxRuvVKu/8RpPBCZEWja/g7amBvoyWfL58ee+y+cdfZmsz34yv6M6OyilWb7aZ97J9ELfs/4marh8zi/P9OKHHHGwBm/kjbQlYNpRkGz2f+/fMf5r1+o8j0CNV01b3qYSLNXChp/Dzy6Hx26HvZv9zYtz/nHvZth4u1+/4bba7J+MLWrnWpwUKzAzvb6iZzzFip1i8C2TElRV6Q7gqGF/bwX+akSZ5wDqp1ErdTQh0sJZrSxb0MHungx705lR+zQX7U1naG1MsmyB8qKHTql5+dvnQrbfdw+aMX/8bU47ym8n2+/HF7QdGa7zPAI1XjVteYtAsHRApfubq9vR+Kb6/kTpXIsbzehedUEFAw8CLxj296+Bvzezy4Af4QcRXwrcE9DrSbkmOyFSJQTwJbfqlIU8tH0f27r8hXlma2rUbCe9g1kWdLay6pSFgf4LEpBS8vLPWADrv1NaDV7TNP8z1O/Pr1qe56OJQJe9Ysvbnr5B8nk3blehYsvbrPZUMC1vEQiWDqhUf3N1OxpfUO9PlM61OKqjCswoCCoY+Bnw72a22Dm3CfgCsAqfUej6Qpkh4OMBvZ5MRjkTIlVCgF9yyxZ08L5zjjuQB31zV9+BPOjZwg1Ka2OSBZ2tXH7uEs0xEGYT5eVf963yavBS7X6w8RHPhYH91T/PxxOBGq+atrxFIFgCKtffXGkuxxfk+xOVcy2uwlSBGQOBBAPOues5eNOPc26bmZ0CfAA4FtgM/Ltz7uEgXk+moJQJkSqhAl9y5z1/LrOnNx82Q2pzY8LXVFZrhlQJxlh5+SdTg5dqhZPfenD+gTB1tYhAjVfNWt4iECwBlRkIrjSX4wv6/YnKuRZnta7AjJGKpVcptBC8p1Lblyka68arEir4JbdsQQfLFnT4dIjbu+nPZGlJJVk2X2ME6sZUavCqeZ6XKgI1XjVteYtAsFSR/uZKczm+Srw/UTjX4q5WFZgxo1yLUnlV+JJbOKtVN//1qh5r8CJQ41WzlrcIBEuB9zdXmsvxVer9icK5Jl4YK3bqiIIBqSx9yUkQ6rEGLwI1XjVreQtJsDTm/x10f/MIzD9RU5V8f0JyronUkoIBCcyoX5xP60tOAlDPNXgRqPGqSctbDYOl9du6D2sRaUiYn6+k2CISZGuV0lyOr9LvTwQCc5FKUjAgUzbeF+fb2jbysqEhmvQlJ1OlGrx4qnKwdOf/7DwwViI9lD0wVmJgKM+evkF292R4aPs+PnnSyzitPaDWKqW5HF+13p8IBOYilaBgQKZkoi/OtfsyvIgcM1N5mttK2GDcvuSkPKrBkwpav62ba+56nG1dadqbkiya1jZqFqVtXWk+82Ar1y7/R47587VTb61SmsvxRfn90bVKIkDBgExaKV+cG/uOY1+miRkDu0hnhmhNNY69wbBdxCW8VIMnFXDT/VvZtX+Q9qbkqPMrJBJ2YPmu/YP8v11LueplV0+9taoeB8kHKYrvjyaPkwhRMCCTVsoX5+C0o3ls7xKOyO+jYf+ztB7xnLE3GJaLuIjEztY9adZv6yY9lGXRtPGbMWe2ptjc1cf6bd1sffHJLHz516ZeA1yPg+SDFKX3R5PHScQoGJBJKeeLc03bBRy3/wkWZncx1LOLxrZZ4b2Ii0gsrd/uxzy1pZKHtHCOJpEw2lJJ+gZzrN/e7QdXT7W1qp4HyQchKu+PJo+TCFIwIJNSzhfnE6mlXJd8LW/Pf5+jh/bTGNaLuIjEVn8mSy7vSE5wPStKJoxc3tGfyQa3ExokP74ovD+aPE4iSMGATEq5X5z3Jk+j23Vyxew/cmzmsXBexEVkyqI6G3hLKklDIflBKbKFCdhaUgF/jWqQ/PjC/P5oXh2JKAUDMimT+eLc2Hg8/3Pyyzl2wWD4LuIiMiUl5eYPerbiAC2b30FbUwN7+gbJ5924LZ75vKMvk/UzMc/vqMwOaZD8+ML4/mjyOIkoBQMyKVP64uxs1YVPpI6Umpv/8nOX8NLnzan17o5q4axWli3oYHdPhr3pzKhJEYr2pjO0NiZZtuBgq0dUW0QkQJo8TiJKwYBMylS/OEWkPpSTm//qX23kyGlNoW0hWHXKQh7avo9tXf7mbGZratT/pXcwy4LOVladsjDyLSISIE0eJxE1QTuWyNhWnbKQ2dOb6B3MsqfXtxAMl8879vQO0juYZfb0JladsrBGeyoilTIyxfDIVsJibv72piS79g9y0/1ba7SnE1u2oIP3nXMcCzpbGco5Nnf18cz+Afb0DvLM/gE2d/UxlHMs6Gzl8nOXsGv/AB+75WF+9cgutnalGRjK4ZxjYCjH1q40v3pkFx+75WF++cgztf7XpBqKk6Nlen3WoPEU59UpzjsgUkNqGZBJK35xFrsHbO7qO9A9IFvoGtTamDzwxanaMZH6Munc/HvSoW0lPO/5c5k9vfmw2v7mxoTv6lio7Qf42C0PR6tFJIyDbutJFCdHE0HBgExRqV+cNf8SFJHATTk3f0gtW9DBsgUd444DuOJHD5U1W/FN92+t3XVQs+FWT5QmRxMpUDAgU1bKF6eUQbV3EhGhyM1fQQtntY56DYtUi4hmw62uqEyOJjKMggEJzFhfnFIi1d5JxIQmN3+VRaZFRLPh1kYUJkcTGSbaV2SReqHaO4mg0OXmr5LItIhoNtzaCfPkaCIjKBgQqTXV3klExTXFcCRaRDQbbjiEcXI0kRGUWlSk1kbW3o2cubJYe5dqP1h7JxIScUwxXGwR6ctkD/t/Ryq2iLQ1NVS3RWQqs+GKSKyoZUCkllR7JxEXxxTDkWgR0Wy4dUmJOqQSFAyI1NIotXeDuTz9mRx550iY0ZJqoKkhcXjtnYIBCYk4phiezGzFVaXZcOuKZrqWSlIwIFJLw2rv0kM5uvoypAuBAA4wSJjRmmqgsy1Fq2rvJKTilmI49C0ixdlw+3b7cUfjdRUqzoZbzHQjoXLn/+w8cJ6lh7IHzrOBoTx7+gbZ3ZPhoe37uPzcJbz0eXNqvbsSQQoGRGqpUHs30N/HU339DOUceedrfABwkMnlyeYc/ZkcCxszNLW0qfZOQitOKYZD3SKi2XDrwvpt3Vxz1+PRmulaIkfBgEgtzVtB2lpg4BmGaMOs0CVomGJN41AuSy7XS7r1CFpVeycSCmW3iFQz1aRmw428m+7fGp2ZriWyFAyI1FLnYv7MczmGHXTSS0+iY9RiyYQxLddLmib+wnM5VbV3IqEyYYtILSYVnOxsuMqNP74qvT+RmulaIk3BgEgNbd2T5sahlbzD/ZmFiV0k8rDfpuOG9e81l2e620+r9bM1P5sbh1YyVxd7keio5aSC5cyGq1nQx1fl9ycyM11PhQLPUFAwIKEVh4GI67d382DuWK5LvpZ38gM68108J7+DfmsmRwMN5GhxAwxYMzsTc/mPxGt4MHdstC72InEWhkkFS5kNV7Ogj68G709kZrqeDAWeoaJgQEInTinUihf7e5OnkW+aw3mDd7Aku5EW10+CPBmS7Et0sDG5hDubzuf3g4uwqFzsC+IQ1ImMaeSkgiMVJxWEg5MKVuomaKzZcMMQsIRZjd6fSMx0PRkKPEMn5GeMxE3cUqgNv9g/3ng8jzcez5zcDpZkN9JcaBHYmFzCMw1HAZDtH4jGxZ54BXUio4rKpIJhCljCqEbvT3Gm6z19fmbv8boKFWe6ntWequ5M1+VS4BlK4b+jkNiIYwq10S72zzQcdeDmf7jIXOw5NKjrHHqKv0luos0G6XNNPNC3mF/1zKuroE5kVKNMKjimWk0qGJWApVZq+P5EYqbrcinwDCUFAxIacUyhVo8X+2JQN6PrIf4+cTcnJp/w3Z5cnjwJ+pMtPJx/Ljd1nc3Vv6IugjqRUQ2bVLAktZhUMAoBSy3V+P0J/UzX5VDgGVoKBiQU4pxCra4u9vigbmn3f/P3djNHum6a8wP0Wws5GkiRYUZ+Hx3WzVJ7gv/bvYqb7p+hYECqq1oZTAqTCjI0UFr5fNZn+anmpIJRCFhqqcbvT+hnui6HAs/QUjAgoRCLFGpjqKeL/dY9adKb/sg7cjczL7GLNC08nThq1FSp89jFW3M38Y1NR7J1z3MjfxwlAqqdwWTeCr/tvt2+L/R4N0D5nM/7X0z3WS1RCFhqKQTvT6hnui6HAs/QUjAgoVDXKdRKUC8X+/Xbuzkn/Qtm217StLBvlEnUnCXYZx2Qh9m2l3PSv2D99osUDEhl1SKDSedif2Pft8sPihytj3RRf5efAKzaedajELDUUkjen7Jnug6jEARWMjoFAxIKdZtCrQz1cLFPdG/i+PzjtDDADnvOuGX323SOck9zQv5xHuveBIxfXmTSapnBZPlqH2R0b/F/t3T6G6KifM4HAplePxPw8tXBvG6pphiwRPl6VZKQBXQTznQdZiEJrORw9XMnJZFWlynUJinKF/u5vY/QSj9pWg7pGjQaZwnStNBKP3N7HwHOqM5OSvzUMoPJ/BWw8iM+GOnd6QdFptoKXSCy/oYn1eoDgZVX1CZzyiQCllilDg57QBcVIQus5CAFAxIK9ZhVJ44WTzOy5hjKTzA4rGDIJUgmHIunldY9TKRsYchgsvRiaJ97+HiFxpaDNZ+1nHG1zIDlzn3zuOauhyMzH8yUWy+iENBFhQKrUFIwIKFRb1l14mjWzA72JJNYfojsBGNAsnlHo+VJJJuYNbOjrNep+64JEpywZDCZv8L/VCuTUblKDFjWu2O55paHD8wHc3prD8fnD06S+FjLEh4d7AzFfDCBtl6EPaCLijAFVmH9LNaAggEJjXrKqhNb81bQ0j4Duvay2+XI5htGDQiyeYdzOdoY8F+wJfYJjVXXBAlG2DKYdC4O7w1HCQHLTT96iF37BzmlcROv4dcs6dvo5xGhMI+ItbAxuYTvN76Eh/Y/t2bzwVRkNvuwB3RRUevAqtpZxSJAwYCESr1k1YmtzsW0LjqVwfSzHDHYy243g8FsnoZhAUEu70iYcYT10tDURtOiU0v6Iq3Il7vUP2UwKd8YAUtxPpjThu7j8uQtdGa7aHajzCOS7+a5iSe4Ovsq1m87q+rzwVR8NvswB3RRUavAqhZZxSJAwYBU3URdPOohq05UBfKeL19N09MP0tm1mUbXw+5cOzkABxg0NcARDT1MswzJjkUl9Qmt+Je71C9lMCnbWNeB9du7WZh+lPfYD5mbH38ekbn5nbzHfsC/pI9k/fbqziMSx9nsI6uagVUts4qFnIIBqZpyu3hEOatO1ATa/abQJzS55gvM7N3JjMFnyCRayVkDDS5HKp8m0dQG7YtK7hOqL3eZNGUwKdlE14HOtiYuyv6SIyhtHpEj2MtF2V/Sn7mwav9DnGezlwnUMqtYyCkYkKpQF4/wqsixGdYnNPHUWpoP9MtshtScsvpl6stdpkwZTCZUynVgccMuXp7bWNY8Is/LP86WoR1AdRI+xHk2exlHGLKKhVgkgwEzmw98BrgAmAXsAH4MXOmc21viNl5aeP6ywk8ncI9z7szg9zje1MUjvKZ0bCbq6xlQn1B9ucuUhSmDSQiVeh04uv9RWqyf3hLnEelzzbQnBlhmTwKnVfi/8OI+m72MISxZxUIqcsGAmR0L3AvMBm4FNgCnAu8DLjCzM5xze0rY1LuBVwADwBP4YEAqQF08vDCOgZjUsbEny8vEMMU+ofpyl0DUOoNJiJV6HZiZy9IwlCdHoqTUwTlL0tQAnU3V+yxqNnsZVdiyioVMFM/+f8cHAu91zl1bXGhmXwXeD3weeGcJ2/ki8DF8MLEA2BT8roq6eIQ3HeZkjk3zk78gs+MnpNLPVC0Tg77cJTBKDXmYcq4DDU1t5IYSNDFEPu/Iwpipg/POkbIcbc2tVc3MpNnsZVTKKjauSH1bFloFzgM2A/82YvWngL8HLjOzDzjn+sbblnPuvmHbDXhPpSjuXTzCPFai3GNzSnITr0t/FzLPQsv0qmVi0Je7BE6pIQ8o5zrweOPxDFgLs9hPNx3knI2ZOrgpATMSGZKt06uamUmz2cuolFVsXBN0nAqdswuPdzrnDqkmdM71APcArcDp1dohM1s72g+wtFr7EGZx7uIxvB9uY4OxqLONOdObmdXexJzpzSzqbKOxwQ70x1+/rbuq+1fusXmlu4sjXBdDDW3+IjnyYlrMxJBqP5iJIQDFL/fWxiR705lxy+rLXaQ85VwHnmk4ikcTSxigmaNSaaa3JEklE5iBAWaQSiaY3pJkYcsAyea2mrS6rDplIbOnN9E7mGVPr69EGC6fd+zpHaR3MMvs6U2azT4OilnFUq2+0mo8McwqFrVg4PjC48Yx1j9eeFxShX2REhS7eGRHXIzHki10oamHLh4j++GOrHUr9sNtb0oe6I9fTeUcmzm5HZyQ30gzAww1zZxgw50+Y0MxE0MA9OUuUhnlXqNvsXPYbZ00uzTzG3s5urOZudObmT29ibnTmzm6s5n5jb2kcn1+jEYNMjMVZ7Nf0NnKUM6xuauPZ/YPsKd3kGf2D7C5q4+hnNNs9nGzfLU/JzO90PesbwEYLp/zyzO9NTt3ayVqd1wzCo/7xlhfXN5R+V3xnHOjtiEVWgeWV2s/wiquXTyiMFainGNz3NBjtLh++hOtTGtqHH/DFcjEUPxyL3a52tzVd6DLVbZw3rQ2JiP55R7GgeVRVep7qff8oHKv0fdnF/O99v/FFa0/gf5naNq3maZiZqZcFtLhyMyk2ezlMMoqNqaoBQMSMXHtvxmFsRLlHJvcYB8N5mhIJmlqKKFBsQKZGOrty72SA8vjdrNb6nsZ1sH8tTSZa/TAsReQOvWc0Gdm0mz2chhlFRtV1IKBYs3/jDHWF5d3V35XpFSrTlnIQ9v3sa3L3xjObE2NmsO6dzDLgs7WyXXxCFl2kKiMlSj12HRnG7FEA22NpWX0qVQmhop9uVf5/KnUwPI43uyW+l6uXHIkazY+G8rB/LU2qWv0/I7IZGbSbPZyCGUVO0zUgoHHCo9jjQk4rvA41pgCKahmTUlFu3hsX1tezvsqiUo6zFKPzZ4ZJ9LOHaT6t4ciE0NgX+41OH8qNQlfmDNXVUqp7+Xm3X38x7O9NJgxo6VREx+OMKVrdMCZmVSLHyDd7I5PWcUOiFowcHfh8TwzSwzPKGRm04AzgDTw+1rsXBTUquawIl08Nvzc9/3r2Vm1nPelitJYidKOzclMe/C/YWOXz8TQduTYG5xkJoaq3wTU6PypxCR8cZ3lu9T3sjs9xGA2T0syEeuJD8dT6254cWzVqpiQVpJJeEUqGHDOPWlmd+LnGng3cO2w1VcCbcA3hs8xYGZLC8/dUM19DaNa1xwG2sVj+1p/I9e9xV/gqpTzvlRRGytR0rGx1f7muHuL/7ul03/BFOVzPhDI9PoBWCVmYqjJTUCNzp9KDSyP4yzfpb6XmWyenHM4BznnyGTzpJKjt2zV68SHpapVH/tafzfVlRBXkkl4RSoYKHgXcC/wNTM7B3gUOA0/B8FG/KzCwz1aeDykatbMzgTeVvizvfB4nJldXyzjnHtTkDteS2GqOQyki8e6G3w2gFT76LXUxZz3cDDnfZVrQqoyViJg4x6bCmRiqNlNQI3On0oMLI9C5qpKKPW9TGeyOAcJA+eM9FCWVDI1atl6nPhwMqrZxz5M302RF/JKMgmvqM0zgHPuSeBk4Hp8EPAB4FjgGuB059wEs0kc8FxgdeHn1YVls4ctq6sEs2HPeV+WYj/ITBpaZ41ftgI570tVl7mul14ML7sallwIMxf5QcKW8I8zF/nlL7u6pBqnmk3KVsPzpxIDy6cSYERZqe9l3oHD59B3OPITDOOpp4kPo6CuvptqbWQlR5UmhpToi2LLAM65bcCbSyw76jeFc+56fEBR9+qu5rDYDzLVPv5AVqhIzvty1LofbkUElImhZl1banj+VGJgeVQyVwWt1PcyYWAY4DCMxASHvFaD+eOo7r6baml4JUfnMeOXben0LbvFSg4Noo09Xe1iIAo578sylC4MiCrx9K1Azvty1G2u6ylkYqjpTUANz59KDCyPSuaqoJX6XramkpgNkndg5mhtHPv/rvVg/ripu++mWopQJZmET7S/DaQkdVdz2NjqL2ZDA6WVr1DO+3Ip1/VBNb0JqOH5U4mB5VHKXBWkUt/LVDJBgxlm0GA25uBhCMdg/jipu++mWopYJZmES+TGDEj5ijWH2bwrqXy2kM0ltDWH81b42o9Mrx8QNZ5izvtiSjUJhZreBNT4/Fl1ykJmT2+idzDLnl5/A3/IS+Yde3oH6R3MMnt604QDy4s3xa2NSfamM+OWrbeb3VLfSzNoSiYws0DecwlG3X031VKxkiNf4jUyn/Xla1xJJuGgYCAGijWHfZnsYV+CIxVrDtuaGsJbc9i5uHBD1+ozI4xnkjnvpbJqehNQpfNn6540P/nT09x0/1Z+8qen2brH18BVYmB50AFGVJT6Xi46oo23nrGYRUe01c9g/jpQd99NtaRKMpkChdcxELWc9yVZXpmc91IdNe/aUsHzp5R5E4IeWF7RWb5Drpz38qXPn1tfg/kjri6/m2qlWMnRt6tiE0NK/VIwEBNRzHk/rgrkvB+u7gb7hkzNbwIqdP6UO29CkAPL6zJzVYlKHaRft4P5I6zuvptqSZVkMknmXGnN9FIeM1u7fPny5WvXrq31rhww1o3K8JrD2dObojXLY8DTrtdkNtyYWr+tm4/d8vCByYYmugn4/CtPrMxMxAGdP6H4fwpKvtmdYnpYkSDU5XdTrRRnIO7d6dOMjlbJ0T5XMxDXoRUrVrBu3bp1zrmy+36pZSBG6rLmMKCc91DD2XBjKhRdWwI8f2o2b8IoJsxcFXAQLTIVk/luUuvOGJZe7G/2R36+G1t81yF9vmUUCgZipm6byaeQ8x4OnQ23vSnJomlto9bqFmfDPXJaU7SCppAKTYA6xfMnUpMnFWsOe3b64CfV7msOhwagb7fvc/z0g6o5lKoq9btJrbclCLCSQ+JBwUBMKef9ocJUqxs39RCgVmPehEDen+1rfSDQvcUHAdOOOXSCIpf3gw+7t8Caq6B9jmoQparG+25S622ZpljJIfGhYEBiL1K1unUsygFqJedNCLQmdN0Nvi9xqn30bCOWOLi8d6cvr2BAQkCttyKVo2BAYq+ms+FKXSjOmzAwNEF+74JsoSvURPMmBFoTWuwykElD5zET/EOdPsPSU2v981S7KDWm1lupmRh0t1IwILFX09lwpS5UYt6EwGtCi4MJU+2Hdg0aTaLBZyHJ9Prn1dkXn0SLWm+jJ8rdPg+IUaIFBQMSe5Wq1a2KGNRYREEl5k0IvCZ0KF34MivxvE0kffmhdGnlRSpErbfRUTcDvGOWaCEEdzMitVXz2XAnI0Y1FmEzVo1XkJMnVaQmtLHVnyNDA6X9o/msT0fYqJupINVFjWmVqfW2wgKqVKqbAd4xTLSgYEBir+az4ZYrZjUWYVFKjVdQ8yZUpCZ03gp/rvTt9l9m43UVyuf8BEXFvOQyZXVTY1oDkW69DbOAJ12smwHeMUy0oE+KCARaq1tRMayxmIqgamHLqfH6/CtPnPK8CRWpCe1c7L/g+3b5c2S0L7kDO9DlZypVt7NA1E2NaY1EsvU27AKuVKqbAd4xTbSgYECEkMyGW4oY1lhMRpC1sOXWeH3+lSdy1av+akqBSMVqQpev9l/w3VsKL9TpawIP/DM5HwhkeqHjaF9epqSuakxrJGytt5Hv6hVwpVJdDfCOaaIFBQMiBaGZDXcsMa2xKFfQtbCTrfGayrwJFasJnb8CVn7E3wj07vTnSKqtMFg467sGpVp9ILDyilgGkkGrmxrTGgtD623ddPUKuFKprgZ4xzTRgoIBkWFCPRtuTGssyhF0LWytarwqWhO69GJon3t4X+HGloNjBDQAPRB1VWNaY7Vuva2brl4VqFSqqwHeMU20oGBAZBShnA03pjUW5ZhsLexYwV8ta7wqWhM6f4X/UWraiqqrGtMQqFXrbV119apApVJdDfCOaaKFEB4JERlVTGssSjWZWtj7ntzDP/7XOp54tnfUZv/Otqaa1XhVpSa0c7Fu/iuormpMQ6IWrbd11dWrApVKdTXAO6aJFhQMyLhC2V0mrmJaY1Gqcmthk2Y81d3Pnr4MeedGbfZvakwwmM2RsNJu5oKu8Qr9OBYZV13VmIZMtVpv666rVwUqlcI2wHvKYphoQVccGVXdDJSqJzGtsShVObWw6UyWdCZH1jkSZiyc2Tpqs393X4ahvMMMjmxvqkmNV6jHsci46qrGNKbqrqtXhSqVwjDAOzAxTLSgYEAOUzcDpepRDGssSlVOLWxXX4accyQwprcc/iU/vNm/qy8DUPMar1COY5Fx1V2NaQzVXVevClUq1XqAd+BilmhBwYAcoq4GStWjGNZYlKrUWthMNk86kyPvoCkJrY1jXwZntqboSmdwDvYPZA8si2yNl1RdXdWYxlBddvWqUKVS3XVrjFGihRCfrVILdTVQql7FrMaiVKXWwqYzWbJ5R8KgLZUklRy7mTyRMKY3N5J3jubGBgaH8tGv8ZKqqrsa05ipVlevqnYDrGClUl12a4xBogUFA3JA3Q2UqmcxqrEoRym1sPsHhsgXxsDMbEtNuM1kwjBLcMmy57CnL1MfNV5SVXVXYxojle7qVbPxeRWuVFK3xmhRMCAH1N1AqTiIQY1FOUqphU1gJBuM1lSS1hKa8ovN/kvmTuflf/2c+qrxkqqpyxrTmKhUV6+aj8+LeaWSPosHKRioM1M5uetuoJTE0kS1sM89sp2Hn9rHs72Ta/ZXjZdMhc6f6KlEV69Qjc+LWaWSsiUeTsFAnQji5K7LgVISSxPVwl7xo4f41SO7lOGlVDGtORQpCrqrl8bn1UbNW2NCSndxdSCok1s5saWcm74oNLGOVQurDC8l2r728D7FiQafpzymA9UlvoLq6qXxebURqtaYkFEwEHFBntzKiR1jZdz01UMTqzK8lGDDz322kZ6dPjhMtftsI0MDfsKivl0+PeHKK2DpRbXeW5GqmWpXL43Pqw21xoxNwUDEBX1yq8a0fFGoIR9XGTd9d+aW100TqzK8jGP7Wn9OdG/x58O0Yw6dqdTl/YRF3VtgzVXQPkctBCIlGm183pzcDpZkN9LsBhiwZjYml/BMw1GAxucFQa0x41MwEGGVOLlVY1q6eqghL+emL/3Lz3H70FvYtn9B3TSxKsPLGNbd4POPp9pHn6HUEgeX9+705RUMiJRk+Pi844Ye47zBO1iS3UiL6ydBnjwJ+q2Fjckl3Nl0Ps/kj9b4vClSa8z4dGZFWKVObtWYTmxS4zTCOAizjJu+3L4dnJW7nT80vavumliV4WWY4nmaSUPnMeOXben0ExY9tdY/r9bns4SWAu6DiuPz/qrvd7wrfwud+S6a3QD91kKOBlJkmJHfR0e+m+dmnyCTfRVPtp+l8XlToGyJ41MwEGGVPLlVYzq2csdpHD3wKEu2/yh8gzDLuOkbbJpJw/4uTnCPc0JTF7s4asyycWxirSvF8zTVfmgr0WgSDX7m0kyvf56CgZoI83W6LlpQp2CsY/OyWU9zzt4fMif3DP3WytOJo3DDPm/m8kx3+5mT28F77AfcNeu5oTmmJQm48muq57iyJY4vHv9lnarGya0a08OVM05jafd/03bnLdDQHb5BmGXc9PUPObI0024DHJ/fOG4wEMcm1roylC4ErCVeJxJJX34oXdn9ksOE/UY7zmkcJzo2b8v8kpnWTa9roZsZJO3QSj1nCfa4GXTgmG3drGpYA7yuFv9KecrMQDbRTX5Q57iyJY5PwUCE6eSuvnLGaZyW2sRbB25mxuAuhtpm0NgZskGYZdz05Z0jSwMN5Gl2AxOWj1sTa11pbPVf3kMTH2cA8llobPHPk6oJ+412nNM4TnRsmvZvxVhLmw3SZXNxeRjM5mkY9v7k8o6EGX2JGRyZeIZk98Ph74pXRjKK9W0vmvAmf9f+gcDOcWVLHJ+CgQjTyV195YzTOD9zJ7NtL720kE3OpGNk7XutB2GWcdOXMCNJjgFSDFjzhOXj1sRaV+at8F/ifbt9wDpeq1E+B5k+fx7P0wDiaonCjXZc0ziWcmz+qucPNGb76LVmOqc3k87kSGdy5J0DBxikkglaUw10tqVIDrSHvyteGcko9v/is9yQfyu/Sy8a8yb/93/pIpd3dKczgZ3jypY4tgk6hErYrTplIbOnN9E7mGVPr28hGC6fd+zpHaR3MMvs6U2xOrkrodRxGsU0cS0MsM9N8xf5sbR0+n77xUGY1VK86cv0+gv1OFoajVYG6HXNPJZYMm7ZYitUW1ODWqGiqHNx4dxo9V/e4+nv8uXCMBg+RkbeaI+smCjeaLc3JQ/caFfT8BbUma2pccvObE2RHsoeGGMUdaUcmyOasiRxZFyCdCbH/I4Wjp7Vytzpzcye3sTc6c0cPauV+R0ttDY2RKMr3shkFGNUfmUa2sju28EZ+2+jscFY1NnGnOnNzGpvYs70ZhZ1ttHYYGzfm+bp7n5SyURg53gxW+KCzlaGco7NXX08s3+APb2DPLN/gM1dfQzlXCyzJSoYiDid3NVVHKeRzY9zcw8H0sSlacElEiRsnOBh5CDMainjpq9pcC+5ZAuPJo7j0cHOccuqFaoOLF8N7XP9Odn3rL8RGS6f88szvb7c8tW12c8YisKN9lQy3UVZqcdmwJoh0UDC+RaBwVyepoYEHS2NdLam6GhppKlh2O1ZPuu/JyrUFW/rnjQ/+dPT3HT/Vn7yp6fLP1eGJ6NonTVu0WdzbTS5fv7KnuR5LV2j3uRPa27EOd/CnMuNX1FV7jl+3vPn8vlXnsi5z5vNws5WmhsbMDOaGxtY2NnKuc+bzedfeWLdjWGZiNrw64BSgVZPqeM0mt0ACfIMOR8ItKQaxt9wrWp+lq/2fTi7t/i/Wzr9l05RPudrfzO9NMyYz2+HLqR3vx8HoCbWOjZ/Baz8iG/2793p04em2grnadZ3DUq1QsfRfvC75hiomijkS49rGsdSj83G5BL6rYU51k13Pkd/JkdTyxh1sxXsihfYAPQSk1EM5vL0DTkaXTPTEgMsyW48MLHacOlMFjMwoD+bJ5PNk0qOvt3JnOMVzZYYxhTiJVAwUCeUCrQ6Sh2nMWDNZPNGo+VpTTUcWsszmloNwizjpq915RVcmFvORk1IFw9LL/a1/iMzgzS2HLwxqVVa3BiLwo12XNM4lnpsnmk4io3JJUzP7WWG6yHvWsbZaGW64gU6AL3EZBT9hXEReUuSGCcZRbHh3QzyeUgPZUklx25pmew5Hmi2xDKzKIVNtD95chilAq28UgYh/TGziJfTzEL2Q+sEH7NaD8Is46bvPFArVJzMX+F/IlrbVY+icKMd10x35RybO5vOZ9HgRuaxi4ZMFzQfOWarLB1HB9oVL/AB6CUmoygOkG4gR5bkmMkoEgaGAQ6HIz/B21nzYLKMLEpVTyFeIgUDImUqjtO4Ztwa8jlsblrKYuujaagbUqPM7lsUhkGYZdz0qRUqhjoX6+Y/JKJwox3XTHflHJvHGpbwr+7VXJ78EYusp6pd8QLP9FRiBrKEGUaeVvp5xjrYmBw9GUVrKknCBsk7aHCQGC+hWa2DyTKyKNUkhXiJFAyITEIp4zSOWfQumv74iZL64wdd8zNpZdz0qRVKpPqicqMdxzSO5R6bXY0v5I5Fx/Hu6fdWrSteOXPllDybfDEZRd8uf+PbNnrlV0uqgQ56SLsmNjYsGXW8APi0qi2NDQxm8zigtXHsW9WaB5MjsyiNVOsU4iVSMCAySSXVkLdqEKaIBCsKN9ojW1CzXX/h5OQm2myQPtfEA9nFDDXOq7sxRuUemzNefAEseF3VuuJVbAB6Cckomga6mG4DbLEj+b57ybiv3ZAwEgnDDHoGhkJ5jh+SRanzmPHLtnT6e4BiCvGQtbQqGJDwikg/5XFryDUIU0QCVlpXxdoP5j/v+XNZNLiB7t9dz6x9f6Y5nybh8uQtwUCylT3TX0DHmW9jSR2lcZz0salSV7yKDUAvMRmFm3k0Nw++ivt7F9PeOzjmTX4ml+c5M5ppbEjQM5Ct6Tk+ZoXfKFmUBnP5AwOli5kEmxoSh6cQD9m9jIIBCZ+Ij8o/jAZhikjAIpFSesPPWfLHL8DgTvKJPgYbW8nTQIIcTbldHJv5A/xxC7SGd2DlZIT52FR0AHoJlV+ty1dz+r55/KHEYOnIaU1lv49BjWebKPXqP0zfzcJCFqX0UI6uvsxhM0knzA7MJN0a4snjFAxIuNTBqPwxaRCmiAQo1IP5RwysTMw6lpYIDqycrLAem4oPQC+h8uu8+eVlpSv1fQxs3gRKS73a0bSbfwQSuUGe6utnKOfIO/+aADjI5PJkc47+TI6FjRmaWtqqn0K8BAoGJDzqZFS+iAQnbDdT1VLO/x3Kwfx1MrByqsJ2bKYyAL2sz+IElV/lBksTvY9BzptQaurVNX0LeXWigefkexiiDbPD5xQqtngM5bLkcr2kW4+gtRYpxCegYEDCQ18eIlIQZC1flNTF/z2VgZWg7pQVVu4g55MWzuSKHz1UkXMyiGAp6HkTSk29uod5rOs/hhm2l07rpScx+jaTCWNarpc0TfyF53JqCM9nBQMSDnU0Kl9EJjZejWCgs6NGSN3836MMrBxTcWBleg/85L0H0y1HfaxYCIz1GStnkPPKJUdyw72bQ31OBjlvQjmpV9tSSf6rZyXPS/6Fo+1ZEnnYb9Nxw855c3mmu/20Wj9b87O5cWglc8dL01ojCgYkHCbz5RHSUfkiMraJar5PWjiTG+7dHNzsqBER+KywtTSULtzMl3iLkRuCwR5/TXeuvsaK1UAprUulDHKOwmdxtJv3ObkdLMlupNkNMGDNbEz6OQ1KmTehnNSrA9kcT7rncm3u1fxTwy0cyV6ek99BvzWTo4EGcrQU9mFnYi7/kXgND+aOnThNaw0oGJBwKPfLI8Sj8kWiotr98Uup+f7Fn3eSy7vgZkeNiMBnha2lxlZfaTM0MHHZTB8M7vdjwhKNMGN+zcaK1cP4lHJbl8brt3/Fjx4K/Tk5/Ob9+NxGzkvfwZLsRlpcPwny5EnQby1sTC7hzqbzeTZ19LjzJpSTejXvwIBf5leQa5zNpfbrQ147Q5J9iY4Dr/37wUVYKWlaa0DBgIRDOV8e4PMWN7aEclS+SNjVol96KTXfz/YOsK9/CIBZ7alxt1fy7KgRUJFZYWtp3gpfu9+329/Mj9fam959sEvQtLmHl63CWLG6GKfB5FuXRuu3H5Vzsnjzfra7n7f3fZ/OfBfNboB+ayFHAykyzMjvoyPfzXOzT5C013BP/rQxb8jLSb2asGIGUeOx5BL+reUFY7ZKAGT7B0pP01pl4dsjiadyvjzyOV+bVJy0SyZUDzVeEoxa9Usvpea7KdmAmeGcY196iPamxjG3V9bsqCFXsVlhR6jadaBzsb829+3ytfqjJYQAyA767kE4aJoODeMEgBUaK1Y34zQItnWpWufkVLWkkrzAPc6bszcx13aRpoWnE0eN2m9/bn4nb3E3sa+hk5bU0lG3V07q1eakn2E5jzvw+zMNRx24+R9uUmlaq0jBgIRDqV8e4AeYpZRlohT1UuMlBDJpXa36pZday5h3vrYtm4f0UI5MNk8qOXbFQMmzo4ZcxWaFLajJdWD5at/Pv3uL/7ul09f+F+Vzvqbf5X23z7Yjxt9eBcaK1dM4jaBr8it9TgZl2fwOGt1dzHJdpK2FfaNk9HGWYJ91QB5muS4ucXfx/PmXjbq9clKv9mWypBoSYNA3mKW5sWHMsiPTtIaNggEJj1K+PIqZJjqO9uVlTPVU4xVrAc7IXat+6aXWMibMN7mbOfJ5SA9lSSXHri0ua3bUEKvkrLA1uw7MXwErP+Lnjund6Wv1U22F8V5Z37prBtbgWwVK6fIZ8FixehqnEXRNfkVnKg7QQnuGZOJJWm2Qba6TsW/HoctNY4Ht4K8TT/IcewYYPaAsJ/XqUR0tGLC7d3DCsgs6W1l1ysKp/ssVMUHalnAys/lmdp2ZPW1mg2a22cyuNrOZZW6ns/C8zYXtPF3Y7vxK7buMo/jl0XE05If8l0fPDuh71j/u3eSXdxzts0oozdyYhtd4NTYYizrbmDO9mVntTcyZ3syizjYaG+xAjdf6bd213mUZzYafw88uh8duh72b/Zga5/zj3s2w8Xa/fsNtE25qeM3hzNaJ++Onh7IHag6nqtRaxtZU0vfDdZB3efLj3IcUm93bmhpC2exejmLXhL5MlnzejVu2nP+75teBpRfDy66GJRfCzEV+nJcl/OPMRXDUSb5FoGHs7mCHyGd9IBzAWLFafh4qIeia/Eqdk4F7ai2zGjMMWCs5fGrU0WTzjhzGgLUwqzHjK1fGUEy9uqCzlaGcY3NXH8/sH2BP7yDP7B9gc1cfQznHgs5WPnrRCXzkwqUllb383CWhDSYjV51iZscC9wKzgVuBDcCpwPuAC8zsDOfcnhK2M6uwnSXAr4HvAUuBNwMXm9kLnXN/qcx/IWNaejG0zz28JrSx5eAYAeWbnlA91XjFVsAzcteyD3CptYypZIKWVAOZXB7njMQ41VVhb3Yvx1RmhR1PKK4D81f4n9G6uQHc9AYf2FZ5rFhU+sSXKuia/Eqdk4EbStOUcOSbm0hlEgzlHIPZPA3Djmku70iYkWpI0JpqpinhJmxdKiX16vDudeWUDaPIBQPAv+MDgfc6564tLjSzrwLvBz4PvLOE7fxvfCDwVefcB4Zt573ANYXXuSDA/ZZSjffloTECE4pKFgiZQMAzcteyD3A5g/I6WlLs6x/C4RgcypNvcpFsdi9XubPCTvR/h+460Ll49Ot3jcaKRaVPfKnK+YyVOpg16HOyIgqZCFsahpg3s4WuvgzpTI68c8VUP6SSCVpTDXS2pWgZ6Cm5dWnZgo5xU69OtmwYRSoYKLQKnAdsBv5txOpPAX8PXGZmH3DO9Y2znXbgMqAP+PSI1f8K/BNwvpkdo9aBGhrry0PGVW81XrFUgRm5a9kHuJxaxsFsjvYmv6/OMe7sqGFudi9XObPClvJ/R+Y6UKOxYlHpE1+qStTkB31OVsSwTISt7bNp7WhhMJenvxAQJMxoSTXQ1JCYdOvSaKlXgygbJuE8q8d2duHxTufcIZ9g51yPmd2DDxZOB+4aZzunAy2F7fSM2E7ezO7ABxZnAwoGJFLqrcYrliowI3clag7LUW4t4+oXLeLBrXsj2+w+GeV2TRhPZK4DpQw0TrUGPlas1p+HSqhETX6Q52RFjJKJsKkhQVPLKNdNZSIcU9SCgeMLjxvHWP84PhhYwvjBQCnbobCdcZnZWKNQRk9iK1Jh9VbjFUsVmJG71n2Ay61lfOnz5vDakxdEttl9soLqbhCp60ANxorV+vNQCZWqyQ99FxhlIpyyqH37zyg87htjfXF5R5W2IxI69VjjFTsVmpG71n2AJ1PLGNVm96ma6v8duetADcaK1frzUAmVrMkP7WexRq1L9SRqwUDoOOdGPasKLQbLq7w7InVZ4xU7FZqROwx9gENfy1gnInsdqOJYsTB8Hiohlp8xZSKckqgFA8Ua+xljrC8u767SdkRCqR5rvGKlgjNyh6UPcGhrGeuIrgMTC8vnoRJi9xlTJsJJi1ow8Fjhcay+/McVHscaCxD0dkRCqV5rvGKlgv1gY1lzGEO6DpRGn4c6o0yEZYtaMHB34fE8M0sMzyhkZtOAM4A08PsJtvN7oB84w8ymDc8oZGYJ/CDk4a8nEjn1XOMVC1XoBxu7msMY0nWgdPo8SFxFKhhwzj1pZnfib9bfDVw7bPWVQBvwjeFzDJjZ0sJzNwzbTq+ZfRufPvTTwAeGbec9wCLgDs0xIFGnGq+IUz9YCYCuAyIynkgFAwXvAu4FvmZm5wCPAqfh5wTYCHxsRPlHC48jUyl8FFgJ/JOZLQP+CJwAvALYhQ82ROqCarwiTP1gJSC6DojIaCIXDBRaB04GPgNcAFwE7ACuAa50zu0tcTt7zOyF+JmLLwH+BtgD/CfwSefc9grsvojI5KgfrIiIVEDkggEA59w24M0llh0zubJzrgt4X+FHRERERCRWJpjnXkRERERE6pWCARERERGRmFIwICIiIiISUwoGRERERERiSsGAiIiIiEhMKRgQEREREYkpBQMiIiIiIjGlYEBEREREJKYUDIiIiIiIxJQ552q9D3XJzPa0tLR0nnDCCbXeFRERERGpY48++ij9/f1dzrlZ5T5XwUCFmNkmYDqwOcDNLi08bghwmxIMHZvw0rEJLx2b8NKxCS8dm3Cr1fFZBOx3zi0u94kKBiLEzNYCOOdW1Hpf5FA6NuGlYxNeOjbhpWMTXjo24RbF46MxAyIiIiIiMaVgQEREREQkphQMiIiIiIjElIIBEREREZGYUjAgIiIiIhJTyiYkIiIiIhJTahkQEREREYkpBQMiIiIiIjGlYEBEREREJKYUDIiIiIiIxJSCARERERGRmFIwICIiIiISUwoGRERERERiSsFAyJnZfDO7zsyeNrNBM9tsZleb2cxa71scmNmlZnatmf23me03M2dm35ngOS8ys9vMrMvM+s3sITO73MwaqrXfcWBms8zsbWZ2i5k9UXiv95nZ78zsrWY26vVNx6c6zOyLZnaXmW0rvM9dZvagmX3KzGaN8RwdmxowszcUrm3OzN42RpmXmdmawmes18z+YGarq72v9a7wHe/G+Nk5xnP0uakiMzun8L2zs3Bf9rSZ3WFmF41SNhLHRpOOhZiZHQvcC8wGbgU2AKcCZwOPAWc45/bUbg/rn5mtB/4a6AW2A0uBG51zbxij/CuAHwIDwE1AF/C3wPHAD5xzr6nCbseCmb0T+D/ADuBuYCswB3gVMAN/HF7jhl3kdHyqx8wywDrgEWAX0AacDpwMPA2c7pzbNqy8jk0NmNkC4GGgAWgH3u6c++aIMu8BrgX24I9NBrgUmA98xTn3warudB0zs81AB3D1KKt7nXNfHlFen5sqMrN/Bj6Evx+4HdgNHAmsAH7lnPvwsLLROTbOOf2E9Ae4A3DAP45Y/tXC8q/Xeh/r/QcfeB0HGLCy8L5/Z4yy0/E3PYPAycOWN+ODOge8rtb/U738AC/BX1gTI5bPxQcGDni1jk/Njk/zGMs/X3iv/13HpubHyIBfAU8CXyq8z28bUWYR/mZmD7Bo2PKZwBOF57yw1v9LvfwAm4HNJZbV56a6x+bthff0eiA1yvrGqB4bdRMKqUKrwHn4C8O/jVj9KaAPuMzM2qq8a7HinLvbOfe4K3yKJ3Apvobge865B4ZtYwD4eOHPf6jAbsaSc+7XzrmfOufyI5bvBL5e+HPlsFU6PlVUeF9Hc3Ph8bhhy3RsauO9+KD6zfjvlNG8BWgC/tU5t7m40Dm3F/jfhT/fWcF9lLHpc1MlZtaEr8jYCvy9cy4zsoxzbmjYn5E6Nsla74CM6ezC452j3Oz0mNk9+GDhdOCuau+cjOolhcdfjLLut0AaeJGZNTnnBqu3W7FUvChnhy3T8QmHvy08PjRsmY5NlZnZCcAXgGucc781s5eMUXS8Y3P7iDISjCYzewOwEB+kPQT81jmXG1FOn5vqeSn+5v5qIG9mFwMvwLea/dE5d9+I8pE6NgoGwuv4wuPGMdY/jg8GlqBgICzGPGbOuayZbQKeDxwDPFrNHYsTM0sCbyz8OfxCrONTA2b2QXxf9Bn48QJn4m9uvjCsmI5NFRU+I9/G13J+dILi4x2bHWbWB8w3s1bnXDrYPY2tufjjM9wmM3uzc+43w5bpc1M9pxQeB4AH8YHAAWb2W+BS59yzhUWROjbqJhReMwqP+8ZYX1zeUfldkRLpmIXDF/AX6tucc3cMW67jUxsfxHdtvBwfCPwCOG/Ylybo2FTbJ4GTgDc55/onKFvqsZkxxnopz38C5+ADgjbgROAb+LEbt5vZXw8rq89N9cwuPH4I39//b4BpwF8BdwJnAd8fVj5Sx0bBgIjUDTN7L/ABfOaty2q8OwI45+Y65wx/c/MqfE3Yg2a2vLZ7Fk9mdhq+NeAro3RtkBpzzl1ZGA/1jHMu7Zz7s3PunfjEIS3Ap2u7h7FVvF/OAi93zv3OOdfrnHsYeCU+u9CLzeyFNdvDKVAwEF4T1bYUl3dXflekRDpmNVRIf3gNPpXl2c65rhFFdHxqqHBzcwu+e+Ms4FvDVuvYVEGhe9C38F0XPlHi00o9NmPVgEowikkRzhq2TJ+b6ukuPD44fCA9QKF7XLEV+tTCY6SOjYKB8Hqs8LhkjPXFTBxjjSmQ6hvzmBW+hBfjaxX+Us2digMzuxyfB/3P+EBgtMl5dHxCwDm3BR+wPd/Mjigs1rGpjnb8e3wCMDB8Qit8Vy6A/1dYdnXh7/GOzVH4rizbNV6g4ord6oZnENTnpnqK73X3GOv3Fh5bRpSPxLFRMBBedxcezxs5k6qZTQPOwI9G/321d0zG9OvC4wWjrDsLaAXuDUPmgHpiZv8f8C/AenwgsGuMojo+4fGcwmMxO4qOTXUMAv8xxs+DhTK/K/xd7EI03rG5cEQZqZzTC4/Dbx71uameu/BjBZ43xuz2xQHFmwqP0To2tZ7oQD9j/6BJx0L1Q2mTjj1LRCYZqYcffFcHBzwAdE5QVsenesdlCTBjlOUJDk46do+OTXh+8H3RR5t0bDGadKxax+AEoG2U5YvwGQQd8NFhy/W5qe7xubXwnr5/xPLzgDy+dWBGFI+NFXZOQqgw8di9+FHst+LTT52Gn4NgI/Ai59ye2u1h/TOzS4BLCn/OBc7H18z8d2HZbufcB0eU/wH+y/N7+OnHX05h+nHgtU4fukCY2Wr8TJA5fBeh0fosb3bOXT/sOZeg41NxhW5bV+FrmTfhbyTnAC/GDyDeCZzjnHtk2HMuQcemZszs0/iuQm93zn1zxLp/BL6GP443ARn8pErz8QORP4hMWeEYfACfh34L0AMcC1yMv4m8DXilGzbhlT431WNm8/H3ZAvwLQUP4oPlSzh4c//DYeUvISrHptbRiH7G/8GfdP8J7MBfgLfgJ72YWet9i8MPB2vLxvrZPMpzzsBftPcC/cDDwPuBhlr/P/X0U8KxccAaHZ+aHJsXAP+K77q1G983dh9wf+G4jdqKo2NT02NW/Dy9bYz1fwv8Bn+D2lc4lqtrvd/19IMPlr+Lz4bWjZ888Vngl/i5U2yM5+lzU71jdCS+8mlL4Z5sN3ALcGqUj41aBkREREREYkoDiEVEREREYkrBgIiIiIhITCkYEBERERGJKQUDIiIiIiIxpWBARERERCSmFAyIiIiIiMSUggERERERkZhSMCAiIiIiElMKBkREREREYkrBgIiIiIhITCkYEBERERGJKQUDIiJS98xskZk5M7u+1vsiIhImCgZERERERGJKwYCIiIiISEwpGBARERERiSkFAyIiUrbhffDNbKmZ/djMusysz8x+Z2bnjfKcJjP7iJk9bGZpM9tvZv9tZq+dYPuLzOx7ZrbbzAbM7AEze9kY+zXNzL5qZtsLZTeY2T+h7zsRkVEla70DIiISaYuB+4CHgW8ARwGrgNvN7O+cczcBmFkKuAN4MbAB+DegFbgUuMnMljnnPjrK9o8G/gj8Bfg20FnY/q1mdq5z7u5iQTNrAu4CTgH+BNwIdACfKLyuiIiMYM65Wu+DiIhEjJktAjYV/vyyc+5Dw9adjA8QeoGjnXP7zewK4H8DtwMvd85lC2Vn42/2jwbOcM7dO8r2P+2cu3LY9s8HfgHc7py7aNjyjwKfB34EvMY5ly8sXwysBWYCNzjn3hTcOyEiEm1qNhURkanYB3xm+ALn3AMcrJV/ZWHxWwAH/FMxECiU3QV8tvDn20bZ/hbgcyO2fwewFTh1RNk3A3ngw8VAoFB+E/C1cv4pEZG4UDAgIiJTsc451zPK8jWFx5PMbBrwXOBp59yGUcr+ulh2lHXrnXO5UZZvw9f0A36sQOE1nnLOPTnO/oiIyDAKBkREZCqeGWP5zsLjjMIPwI4xyhaXd4yyrnuM52Q59Dus+BoT7Y+IiAyjYEBERKZizhjL5xYe9xV+hi8b6ahhZSer+NyJ9kdERIZRMCAiIlOxvNBFZ6SVhccHC92IngTmmdlxo5Q9u/C4brI7UXiNJwqvcew4+yMiIsMoGBARkamYAXxy+IJCNqHX42vrbyksvg4w4Etm1jCs7BH41J/FMlPxn/jvtS+a2YHvt0I2ofdOcdsiInVJ8wyIiMhU/BZ4m5mdBtzDwXkGEsA7nHP7C+W+DFwIvAL4k5ndhp9n4DXAbOCfnXO/m+K+fAW4BHg1sM7M7sCPQ3htYT9fPsXti4jUHbUMiIjIVGwCXgTsBd6Jv/FeB1xUnHAMwDmXAV4KfKyw6B+B1cDjwN855/6/qe6Ic24QOBf4F+BI4H34ycY+B7x/qtsXEalHmnRMRETKNmxSME3iJSISYWoZEBERERGJKQUDIiIiIiIxpWBARERERCSmNGZARERERCSm1DIgIiIiIhJTCgZERERERGJKwYCIiIiISEwpGBARERERiSkFAyIiIiIiMaVgQEREREQkphQMiIiIiIjElIIBEREREZGYUjAgIiIiIhJTCgZERERERGJKwYCIiIiISEwpGBARERERiSkFAyIiIiIiMfX/Aw+uoDLKD5O6AAAAAElFTkSuQmCC", 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" ] }, "metadata": { "image/png": { "height": 261, "width": 385 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sample_alpha = trace_13_3new.posterior[\"alpha\"].values[0]\n", "dsim[\"p_partpool\"] = tf.reduce_mean(tf.sigmoid(sample_alpha)).numpy()\n", "dsim[\"p_true\"] = tf.sigmoid(dsim.true_a.values).numpy()\n", "nopool_error = (dsim.p_nopool - dsim.p_true).abs()\n", "partpool_error = (dsim.p_partpool - dsim.p_true).abs()\n", "plt.scatter(range(1, 61), nopool_error, label=\"nopool\", alpha=0.8)\n", "plt.gca().set(xlabel=\"pond\", ylabel=\"absolute error\")\n", "plt.scatter(range(1, 61), partpool_error, label=\"partpool\", alpha=0.8)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 13.3 More than one type of cluster" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.3.1 Multilevel chimpanzees" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.21" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "d = RethinkingDataset.Chimpanzees.get_dataset()\n", "\n", "d[\"treatment\"] = 1 + d.prosoc_left + 2 * d.condition - 1\n", "d[\"block_id\"] = d.block.values - 1\n", "d[\"actor_id\"] = d.actor.values - 1\n", "\n", "tdf = dataframe_to_tensors(\n", " \"Chimpanzee\",\n", " d,\n", " {\n", " \"treatment\": tf.int32,\n", " \"block_id\": tf.int32,\n", " \"actor_id\": tf.int32,\n", " \"pulled_left\": tf.float32,\n", " },\n", ")\n", "\n", "\n", "def model_13_4(actor, block_id, treatment):\n", " def _generator():\n", " # hyper-priors\n", " a_bar = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=1.5), sample_shape=1))\n", " sigma_a = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " sigma_g = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " # adaptive priors\n", " alpha = yield tfd.Sample(tfd.Normal(loc=a_bar, scale=sigma_a), sample_shape=7)\n", " gamma = yield tfd.Sample(tfd.Normal(loc=0.0, scale=sigma_g), sample_shape=6)\n", " beta = yield tfd.Sample(tfd.Normal(loc=0.0, scale=0.5), sample_shape=4)\n", "\n", " # three terms\n", " term1 = tf.squeeze(tf.gather(alpha, actor, axis=-1))\n", " term2 = tf.squeeze(tf.gather(gamma, block_id, axis=-1))\n", " term3 = tf.squeeze(tf.gather(beta, treatment, axis=-1))\n", "\n", " p = tf.sigmoid(term1 + term2 + term3)\n", "\n", " PL = yield tfd.Independent(\n", " tfd.Binomial(total_count=1, probs=p), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_4 = model_13_4(tdf.actor_id, tdf.block_id, tdf.treatment)\n" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:@custom_gradient grad_fn has 'variables' in signature, but no ResourceVariables were used on the forward pass.\n", "WARNING:tensorflow:5 out of the last 5 calls to triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/guide/function#controlling_retracing and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n" ] } ], "source": [ "NUM_CHAINS_FOR_13_4 = 2\n", "\n", "init_state = [\n", " tf.zeros([NUM_CHAINS_FOR_13_4]),\n", " tf.ones([NUM_CHAINS_FOR_13_4]),\n", " tf.ones([NUM_CHAINS_FOR_13_4]),\n", " tf.zeros([NUM_CHAINS_FOR_13_4, 7]),\n", " tf.zeros([NUM_CHAINS_FOR_13_4, 6]),\n", " tf.zeros([NUM_CHAINS_FOR_13_4, 4]),\n", "]\n", "\n", "bijectors = [\n", " tfb.Identity(),\n", " tfb.Exp(),\n", " tfb.Exp(),\n", " tfb.Identity(),\n", " tfb.Identity(),\n", " tfb.Identity(),\n", "]\n", "\n", "posterior_13_4, trace_13_4 = sample_posterior(\n", " jdc_13_4,\n", " observed_data=(tdf.pulled_left,),\n", " params=[\"a_bar\", \"sigma_a\", \"sigma_g\", \"alpha\", \"gamma\", \"beta\"],\n", " num_chains=NUM_CHAINS_FOR_13_4,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.22" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%mcse_meanmcse_sdess_bulkess_tailr_hat
a_bar0.460.55-0.391.300.070.0565.1796.201.04
sigma_a1.840.580.932.650.070.0586.62111.081.04
sigma_g0.220.140.050.390.020.0162.65120.611.03
alpha[0]-0.440.35-1.000.100.050.0359.58107.401.07
alpha[1]4.091.072.205.490.230.1616.5839.701.13
alpha[2]-0.750.37-1.34-0.210.050.0456.1586.511.05
alpha[3]-0.720.34-1.24-0.190.050.0357.5880.371.06
alpha[4]-0.430.34-1.000.020.040.0356.9698.261.06
alpha[5]0.490.33-0.030.960.050.0454.5265.711.07
alpha[6]1.980.431.202.600.050.0387.2490.551.02
gamma[0]-0.170.19-0.440.110.010.01165.71295.531.01
gamma[1]0.040.18-0.240.280.010.01278.49211.421.01
gamma[2]0.060.18-0.220.330.010.01317.40355.381.01
gamma[3]0.020.16-0.230.270.010.01268.85368.281.00
gamma[4]-0.020.17-0.320.190.010.01339.06270.311.00
gamma[5]0.120.20-0.150.430.020.01165.21111.831.02
beta[0]-0.050.30-0.490.440.040.0368.9260.011.05
beta[1]0.460.30-0.040.930.040.0353.2561.771.08
beta[2]-0.400.29-0.820.080.040.0359.15169.731.06
beta[3]0.350.29-0.080.820.050.0428.16113.631.09
\n", "
" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5% mcse_mean mcse_sd ess_bulk \\\n", "a_bar 0.46 0.55 -0.39 1.30 0.07 0.05 65.17 \n", "sigma_a 1.84 0.58 0.93 2.65 0.07 0.05 86.62 \n", "sigma_g 0.22 0.14 0.05 0.39 0.02 0.01 62.65 \n", "alpha[0] -0.44 0.35 -1.00 0.10 0.05 0.03 59.58 \n", "alpha[1] 4.09 1.07 2.20 5.49 0.23 0.16 16.58 \n", "alpha[2] -0.75 0.37 -1.34 -0.21 0.05 0.04 56.15 \n", "alpha[3] -0.72 0.34 -1.24 -0.19 0.05 0.03 57.58 \n", "alpha[4] -0.43 0.34 -1.00 0.02 0.04 0.03 56.96 \n", "alpha[5] 0.49 0.33 -0.03 0.96 0.05 0.04 54.52 \n", "alpha[6] 1.98 0.43 1.20 2.60 0.05 0.03 87.24 \n", "gamma[0] -0.17 0.19 -0.44 0.11 0.01 0.01 165.71 \n", "gamma[1] 0.04 0.18 -0.24 0.28 0.01 0.01 278.49 \n", "gamma[2] 0.06 0.18 -0.22 0.33 0.01 0.01 317.40 \n", "gamma[3] 0.02 0.16 -0.23 0.27 0.01 0.01 268.85 \n", "gamma[4] -0.02 0.17 -0.32 0.19 0.01 0.01 339.06 \n", "gamma[5] 0.12 0.20 -0.15 0.43 0.02 0.01 165.21 \n", "beta[0] -0.05 0.30 -0.49 0.44 0.04 0.03 68.92 \n", "beta[1] 0.46 0.30 -0.04 0.93 0.04 0.03 53.25 \n", "beta[2] -0.40 0.29 -0.82 0.08 0.04 0.03 59.15 \n", "beta[3] 0.35 0.29 -0.08 0.82 0.05 0.04 28.16 \n", "\n", " ess_tail r_hat \n", "a_bar 96.20 1.04 \n", "sigma_a 111.08 1.04 \n", "sigma_g 120.61 1.03 \n", "alpha[0] 107.40 1.07 \n", "alpha[1] 39.70 1.13 \n", "alpha[2] 86.51 1.05 \n", "alpha[3] 80.37 1.06 \n", "alpha[4] 98.26 1.06 \n", "alpha[5] 65.71 1.07 \n", "alpha[6] 90.55 1.02 \n", "gamma[0] 295.53 1.01 \n", "gamma[1] 211.42 1.01 \n", "gamma[2] 355.38 1.01 \n", "gamma[3] 368.28 1.00 \n", "gamma[4] 270.31 1.00 \n", "gamma[5] 111.83 1.02 \n", "beta[0] 60.01 1.05 \n", "beta[1] 61.77 1.08 \n", "beta[2] 169.73 1.06 \n", "beta[3] 113.63 1.09 " ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(trace_13_4, round_to=2, kind=\"all\", hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that there is variation across parameters when it comes to effective sample size (ess_mean). This is because some parameters spends a lot of time near a boundary. " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 651, "width": 428 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_forest(trace_13_4, combined=True, hdi_prob=0.89)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.23\n", "\n", "Build a model that ignores block so that we can then compare it with the above model" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:6 out of the last 6 calls to triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/guide/function#controlling_retracing and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n" ] } ], "source": [ "def model_13_5(actor, treatment):\n", " def _generator():\n", " # hyper-priors\n", " a_bar = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=1.5), sample_shape=1))\n", " sigma_a = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " # adaptive priors\n", " alpha = yield tfd.Sample(tfd.Normal(loc=a_bar, scale=sigma_a), sample_shape=7)\n", " beta = yield tfd.Sample(tfd.Normal(loc=0.0, scale=0.5), sample_shape=4)\n", "\n", " # two terms\n", " term1 = tf.squeeze(tf.gather(alpha, actor, axis=-1))\n", " term2 = tf.squeeze(tf.gather(beta, treatment, axis=-1))\n", "\n", " p = tf.sigmoid(term1 + term2)\n", "\n", " PL = yield tfd.Independent(\n", " tfd.Binomial(total_count=1, probs=p), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_5 = model_13_5(tdf.actor_id, tdf.treatment)\n", "\n", "\n", "NUM_CHAINS_FOR_13_5 = 2\n", "\n", "init_state = [\n", " tf.zeros([NUM_CHAINS_FOR_13_5]),\n", " tf.ones([NUM_CHAINS_FOR_13_5]),\n", " tf.zeros([NUM_CHAINS_FOR_13_5, 7]),\n", " tf.zeros([NUM_CHAINS_FOR_13_5, 4]),\n", "]\n", "\n", "bijectors = [tfb.Identity(), tfb.Exp(), tfb.Identity(), tfb.Identity()]\n", "\n", "posterior_13_5, trace_13_5 = sample_posterior(\n", " jdc_13_5,\n", " observed_data=(tdf.pulled_left,),\n", " params=[\"a_bar\", \"sigma_a\", \"alpha\", \"beta\"],\n", " num_chains=NUM_CHAINS_FOR_13_5,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.24" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "def compute_and_store_log_likelihood_for_model_13_4():\n", "\n", " sample_a_bar = posterior_13_4[\"a_bar\"]\n", " sample_sigma_a = posterior_13_4[\"sigma_a\"]\n", " sample_sigma_g = posterior_13_4[\"sigma_g\"]\n", "\n", " sample_alpha = posterior_13_4[\"alpha\"]\n", " sample_gamma = posterior_13_4[\"gamma\"]\n", " sample_beta = posterior_13_4[\"beta\"]\n", "\n", " ds, _ = jdc_13_4.sample_distributions(\n", " value=[\n", " sample_a_bar,\n", " sample_sigma_a,\n", " sample_sigma_g,\n", " sample_alpha,\n", " sample_gamma,\n", " sample_beta,\n", " None,\n", " ]\n", " )\n", "\n", " log_likelihood_13_4 = ds[-1].distribution.log_prob(tdf.pulled_left).numpy()\n", "\n", " # we need to insert this in the sampler_stats\n", " sample_stats_13_4 = trace_13_4.sample_stats\n", "\n", " coords = [\n", " sample_stats_13_4.coords[\"chain\"],\n", " sample_stats_13_4.coords[\"draw\"],\n", " np.arange(504),\n", " ]\n", "\n", " sample_stats_13_4[\"log_likelihood\"] = xr.DataArray(\n", " log_likelihood_13_4,\n", " coords=coords,\n", " dims=[\"chain\", \"draw\", \"log_likelihood_dim_0\"],\n", " )\n", "\n", "\n", "compute_and_store_log_likelihood_for_model_13_4()\n" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "def compute_and_store_log_likelihood_for_model_13_5():\n", "\n", " sample_a_bar = posterior_13_5[\"a_bar\"]\n", " sample_sigma_a = posterior_13_5[\"sigma_a\"]\n", "\n", " sample_alpha = posterior_13_5[\"alpha\"]\n", " sample_beta = posterior_13_5[\"beta\"]\n", "\n", " ds, _ = jdc_13_5.sample_distributions(\n", " value=[sample_a_bar, sample_sigma_a, sample_alpha, sample_beta, None]\n", " )\n", "\n", " log_likelihood_13_5 = ds[-1].distribution.log_prob(tdf.pulled_left).numpy()\n", "\n", " # we need to insert this in the sampler_stats\n", " sample_stats_13_5 = trace_13_5.sample_stats\n", "\n", " coords = [\n", " sample_stats_13_5.coords[\"chain\"],\n", " sample_stats_13_5.coords[\"draw\"],\n", " np.arange(504),\n", " ]\n", "\n", " sample_stats_13_5[\"log_likelihood\"] = xr.DataArray(\n", " log_likelihood_13_5,\n", " coords=coords,\n", " dims=[\"chain\", \"draw\", \"log_likelihood_dim_0\"],\n", " )\n", "\n", "\n", "compute_and_store_log_likelihood_for_model_13_5()\n" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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rankloop_lood_looweightsedsewarningloo_scale
m13.50-265.6311938.5637210.0000001.09.6294050.000000Falselog
m13.41-266.57428610.4490640.9430920.09.5170210.895458Falselog
\n", "
" ], "text/plain": [ " rank loo p_loo d_loo weight se dse \\\n", "m13.5 0 -265.631193 8.563721 0.000000 1.0 9.629405 0.000000 \n", "m13.4 1 -266.574286 10.449064 0.943092 0.0 9.517021 0.895458 \n", "\n", " warning loo_scale \n", "m13.5 False log \n", "m13.4 False log " ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.compare({\"m13.4\": trace_13_4, \"m13.5\": trace_13_5})\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above 2 models seem to imply nearly identical predictions. Should we select m13.4 as it is simpler among the two ?. Author here suggests that to select a model, we should rather want to test conditional independencies of different causal models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.3.2 Even more clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.25\n", "\n", "m13.4 with partial pooling on the treatments" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "def model_13_6(actor, block_id, treatment):\n", " def _generator():\n", " # hyper-priors\n", " a_bar = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=1.5), sample_shape=1))\n", " sigma_a = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " sigma_g = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " sigma_b = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " # adaptive priors\n", " alpha = yield tfd.Sample(tfd.Normal(loc=a_bar, scale=sigma_a), sample_shape=7)\n", " gamma = yield tfd.Sample(tfd.Normal(loc=0.0, scale=sigma_g), sample_shape=6)\n", " beta = yield tfd.Sample(tfd.Normal(loc=0.0, scale=sigma_b), sample_shape=4)\n", "\n", " # three terms\n", " term1 = tf.squeeze(tf.gather(alpha, actor, axis=-1))\n", " term2 = tf.squeeze(tf.gather(gamma, block_id, axis=-1))\n", " term3 = tf.squeeze(tf.gather(beta, treatment, axis=-1))\n", "\n", " p = tf.sigmoid(term1 + term2 + term3)\n", "\n", " PL = yield tfd.Independent(\n", " tfd.Binomial(total_count=1, probs=p), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_6 = model_13_6(tdf.actor_id, tdf.block_id, tdf.treatment)\n" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "NUM_CHAINS_FOR_13_6 = 2\n", "\n", "init_state = [\n", " tf.zeros([NUM_CHAINS_FOR_13_6]),\n", " tf.ones([NUM_CHAINS_FOR_13_6]),\n", " tf.ones([NUM_CHAINS_FOR_13_6]),\n", " tf.ones([NUM_CHAINS_FOR_13_6]),\n", " tf.zeros([NUM_CHAINS_FOR_13_6, 7]),\n", " tf.zeros([NUM_CHAINS_FOR_13_6, 6]),\n", " tf.zeros([NUM_CHAINS_FOR_13_6, 4]),\n", "]\n", "\n", "bijectors = [\n", " tfb.Identity(),\n", " tfb.Exp(),\n", " tfb.Exp(),\n", " tfb.Exp(),\n", " tfb.Identity(),\n", " tfb.Identity(),\n", " tfb.Identity(),\n", "]\n", "\n", "posterior_13_6, trace_13_6 = sample_posterior(\n", " jdc_13_6,\n", " observed_data=(tdf.pulled_left,),\n", " params=[\"a_bar\", \"sigma_a\", \"sigma_g\", \"sigma_b\", \"alpha\", \"gamma\", \"beta\"],\n", " num_chains=NUM_CHAINS_FOR_13_6,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'m13.4': array([ 0.00434399, 0.5309277 , -0.33237955, 0.42425317], dtype=float32),\n", " 'm13.6': array([-0.14902338, 0.3988284 , -0.48576328, 0.27334246], dtype=float32)}" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "{\n", " \"m13.4\": np.mean(trace_13_4.posterior[\"beta\"].values[1], 0),\n", " \"m13.6\": np.mean(trace_13_6.posterior[\"beta\"].values[1], 0),\n", "}\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 13.4 Divergent transitions and non-centered priors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.4.1 The Devil's Funnel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.26 (TODO - add notes on divergence)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "def model_13_7():\n", " def _generator():\n", " v = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=3.0), sample_shape=1))\n", " x = yield tfd.Sample(tfd.Normal(loc=0.0, scale=tf.exp(v)), sample_shape=1)\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_7 = model_13_7()\n" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "NUM_CHAINS_FOR_13_7 = 2\n", "\n", "init_state = [tf.zeros([NUM_CHAINS_FOR_13_7]), tf.zeros([NUM_CHAINS_FOR_13_7])]\n", "\n", "bijectors = [tfb.Identity(), tfb.Identity()]\n", "\n", "posterior_13_7, trace_13_7 = sample_posterior(\n", " jdc_13_7,\n", " observed_data=(),\n", " params=[\"v\", \"x\"],\n", " num_chains=NUM_CHAINS_FOR_13_7,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%mcse_meanmcse_sdess_bulkess_tailr_hat
v-1.4880.485-2.075-0.8230.3360.2842.03.03.20
x-0.2380.206-0.5090.0340.1360.1123.011.02.36
\n", "
" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5% mcse_mean mcse_sd ess_bulk ess_tail \\\n", "v -1.488 0.485 -2.075 -0.823 0.336 0.284 2.0 3.0 \n", "x -0.238 0.206 -0.509 0.034 0.136 0.112 3.0 11.0 \n", "\n", " r_hat \n", "v 3.20 \n", "x 2.36 " ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(trace_13_7, hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.27" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%mcse_meanmcse_sdess_bulkess_tailr_hat
v-0.0803.014-4.9094.8260.1040.115828.0448.01.01
z-0.0490.904-1.4431.4790.0550.039276.0398.01.00
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" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5% mcse_mean mcse_sd ess_bulk ess_tail \\\n", "v -0.080 3.014 -4.909 4.826 0.104 0.115 828.0 448.0 \n", "z -0.049 0.904 -1.443 1.479 0.055 0.039 276.0 398.0 \n", "\n", " r_hat \n", "v 1.01 \n", "z 1.00 " ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def model_13_7nc():\n", " def _generator():\n", " v = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=3.0), sample_shape=1))\n", " z = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=1.0), sample_shape=1))\n", " x = z * tf.exp(v)\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_7nc = model_13_7nc()\n", "\n", "NUM_CHAINS_FOR_13_7nc = 2\n", "\n", "init_state = [tf.zeros([NUM_CHAINS_FOR_13_7nc]), tf.zeros([NUM_CHAINS_FOR_13_7nc])]\n", "\n", "bijectors = [tfb.Identity(), tfb.Identity()]\n", "\n", "posterior_13_7nc, trace_13_7nc = sample_posterior(\n", " jdc_13_7nc,\n", " observed_data=(),\n", " params=[\"v\", \"z\"],\n", " num_chains=NUM_CHAINS_FOR_13_7nc,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n", "\n", "az.summary(trace_13_7nc, hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.4.2 Non-centered chimpanzees" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.28 [TODO - parameterize the target accept prob]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.29" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "def model_13_4nc(actor, block_id, treatment):\n", " def _generator():\n", " # hyper-priors\n", " a_bar = yield Root(tfd.Sample(tfd.Normal(loc=0.0, scale=1.5), sample_shape=1))\n", " sigma_a = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " sigma_g = yield Root(tfd.Sample(tfd.Exponential(rate=1.0), sample_shape=1))\n", " # adaptive priors\n", " z = yield tfd.Sample(tfd.Normal(loc=0.0, scale=1.0), sample_shape=7)\n", " x = yield tfd.Sample(tfd.Normal(loc=0.0, scale=1.0), sample_shape=6)\n", " b = yield tfd.Sample(tfd.Normal(loc=0.0, scale=0.5), sample_shape=4)\n", "\n", " # three terms\n", " term1 = tf.squeeze(tf.gather(z, actor, axis=-1))\n", " term2 = tf.squeeze(tf.gather(x, block_id, axis=-1))\n", " term3 = tf.squeeze(tf.gather(b, treatment, axis=-1))\n", "\n", " # reparamertization\n", " r = (\n", " a_bar[..., tf.newaxis]\n", " + sigma_a[..., tf.newaxis] * term1\n", " + sigma_g[..., tf.newaxis] * term2\n", " + term3\n", " )\n", "\n", " p = tf.sigmoid(r)\n", "\n", " PL = yield tfd.Independent(\n", " tfd.Binomial(total_count=1, probs=p), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_13_4nc = model_13_4nc(tdf.actor_id, tdf.block_id, tdf.treatment)\n" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:5 out of the last 11 calls to triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/guide/function#controlling_retracing and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n", "WARNING:tensorflow:@custom_gradient grad_fn has 'variables' in signature, but no ResourceVariables were used on the forward pass.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s = jdc_13_4nc.sample(2)\n", "\n", "jdc_13_4nc.log_prob(s)\n" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "NUM_CHAINS_FOR_13_4 = 2\n", "\n", "init_state = [\n", " tf.zeros([NUM_CHAINS_FOR_13_4]),\n", " tf.ones([NUM_CHAINS_FOR_13_4]),\n", " tf.ones([NUM_CHAINS_FOR_13_4]),\n", " tf.zeros([NUM_CHAINS_FOR_13_4, 7]),\n", " tf.zeros([NUM_CHAINS_FOR_13_4, 6]),\n", " tf.zeros([NUM_CHAINS_FOR_13_4, 4]),\n", "]\n", "\n", "bijectors = [\n", " tfb.Identity(),\n", " tfb.Exp(),\n", " tfb.Exp(),\n", " tfb.Identity(),\n", " tfb.Identity(),\n", " tfb.Identity(),\n", "]\n", "\n", "posterior_13_4nc, trace_13_4nc = sample_posterior(\n", " jdc_13_4nc,\n", " observed_data=(tdf.pulled_left,),\n", " params=[\"a_bar\", \"sigma_a\", \"sigma_g\", \"z\", \"x\", \"b\"],\n", " num_chains=NUM_CHAINS_FOR_13_4,\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%mcse_meanmcse_sdess_bulkess_tailr_hat
a_bar0.9630.637-0.0481.7670.2240.1649.041.01.22
sigma_a2.1450.6041.0882.8590.1950.14310.093.01.14
sigma_g0.2120.1840.0050.4940.0420.03018.053.01.04
z[0]-0.5830.297-1.078-0.1410.0930.06810.049.01.16
z[1]1.9560.5651.1952.9070.1530.11113.056.01.11
z[2]-0.7370.316-1.266-0.2670.1010.07610.027.01.15
z[3]-0.7310.313-1.134-0.2110.1090.0808.047.01.18
z[4]-0.5870.298-0.966-0.0940.0880.06411.058.01.15
z[5]-0.0930.278-0.4240.3730.0820.06012.071.01.15
z[6]0.6490.3600.1891.2220.1180.08610.012.01.16
x[0]-0.4261.017-1.9351.0420.2450.17618.037.01.07
x[1]-0.0310.443-0.6930.6850.0480.03488.0107.01.04
x[2]-0.2040.783-1.2551.2630.2070.14915.020.01.13
x[3]-0.3760.732-1.5920.6650.1530.18025.08.01.18
x[4]0.1281.161-1.1992.4640.4730.4029.066.01.22
x[5]0.4690.822-0.7251.7190.1530.10930.056.01.04
b[0]-0.2150.288-0.6670.2910.0500.04036.042.01.06
b[1]0.3280.291-0.1750.7550.0520.03734.049.01.05
b[2]-0.5660.291-1.125-0.1930.0620.04723.037.01.07
b[3]0.2030.287-0.1840.7340.0490.03537.043.01.06
\n", "
" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5% mcse_mean mcse_sd ess_bulk \\\n", "a_bar 0.963 0.637 -0.048 1.767 0.224 0.164 9.0 \n", "sigma_a 2.145 0.604 1.088 2.859 0.195 0.143 10.0 \n", "sigma_g 0.212 0.184 0.005 0.494 0.042 0.030 18.0 \n", "z[0] -0.583 0.297 -1.078 -0.141 0.093 0.068 10.0 \n", "z[1] 1.956 0.565 1.195 2.907 0.153 0.111 13.0 \n", "z[2] -0.737 0.316 -1.266 -0.267 0.101 0.076 10.0 \n", "z[3] -0.731 0.313 -1.134 -0.211 0.109 0.080 8.0 \n", "z[4] -0.587 0.298 -0.966 -0.094 0.088 0.064 11.0 \n", "z[5] -0.093 0.278 -0.424 0.373 0.082 0.060 12.0 \n", "z[6] 0.649 0.360 0.189 1.222 0.118 0.086 10.0 \n", "x[0] -0.426 1.017 -1.935 1.042 0.245 0.176 18.0 \n", "x[1] -0.031 0.443 -0.693 0.685 0.048 0.034 88.0 \n", "x[2] -0.204 0.783 -1.255 1.263 0.207 0.149 15.0 \n", "x[3] -0.376 0.732 -1.592 0.665 0.153 0.180 25.0 \n", "x[4] 0.128 1.161 -1.199 2.464 0.473 0.402 9.0 \n", "x[5] 0.469 0.822 -0.725 1.719 0.153 0.109 30.0 \n", "b[0] -0.215 0.288 -0.667 0.291 0.050 0.040 36.0 \n", "b[1] 0.328 0.291 -0.175 0.755 0.052 0.037 34.0 \n", "b[2] -0.566 0.291 -1.125 -0.193 0.062 0.047 23.0 \n", "b[3] 0.203 0.287 -0.184 0.734 0.049 0.035 37.0 \n", "\n", " ess_tail r_hat \n", "a_bar 41.0 1.22 \n", "sigma_a 93.0 1.14 \n", "sigma_g 53.0 1.04 \n", "z[0] 49.0 1.16 \n", "z[1] 56.0 1.11 \n", "z[2] 27.0 1.15 \n", "z[3] 47.0 1.18 \n", "z[4] 58.0 1.15 \n", "z[5] 71.0 1.15 \n", "z[6] 12.0 1.16 \n", "x[0] 37.0 1.07 \n", "x[1] 107.0 1.04 \n", "x[2] 20.0 1.13 \n", "x[3] 8.0 1.18 \n", "x[4] 66.0 1.22 \n", "x[5] 56.0 1.04 \n", "b[0] 42.0 1.06 \n", "b[1] 49.0 1.05 \n", "b[2] 37.0 1.07 \n", "b[3] 43.0 1.06 " ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(trace_13_4nc, hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.30 [TODO - do not how to compute ess]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 13.5 Multilevel posterior predictions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.5.1 Posterior prediction for same clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.31" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chimp = 2\n", "d_pred = dict(\n", " actor=np.repeat(chimp, 4) - 1, treatment=np.arange(4), block_id=np.repeat(1, 4) - 1\n", ")\n", "\n", "# we want to calculate the p using the posterior\n", "\n", "sample_alpha = posterior_13_4[\"alpha\"][0]\n", "sample_gamma = posterior_13_4[\"gamma\"][0]\n", "sample_beta = posterior_13_4[\"beta\"][0]\n", "\n", "term1 = tf.squeeze(tf.gather(sample_alpha, d_pred[\"actor\"], axis=-1))\n", "term2 = tf.squeeze(tf.gather(sample_gamma, d_pred[\"block_id\"], axis=-1))\n", "term3 = tf.squeeze(tf.gather(sample_beta, d_pred[\"treatment\"], axis=-1))\n", "\n", "p = tf.sigmoid(term1 + term2 + term3)\n", "\n", "p_mu = tf.reduce_mean(p, 0)\n", "p_ci = tfp.stats.percentile(p, q=(5.5, 94.5), axis=0)\n", "\n", "p_mu, p_ci\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.32" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'a_bar': array([1.2144496, 1.2144496, 1.2144496, 0.7774378, 0.7774378],\n", " dtype=float32),\n", " 'sigma_a': array([2.6957283, 2.6957283, 2.6957283, 1.6031085, 1.6031085],\n", " dtype=float32),\n", " 'sigma_g': array([0.09348813, 0.09348813, 0.09348813, 0.0743173 , 0.0743173 ],\n", " dtype=float32),\n", " 'alpha': array([-0.09618345, 4.9709835 , -0.4608547 , -0.502425 , -0.12726118],\n", " dtype=float32),\n", " 'gamma': array([-0.05436656, 0.11756001, 0.14606996, -0.02094996, -0.00536197],\n", " dtype=float32),\n", " 'beta': array([-0.3286823 , -0.21637423, -1.078766 , -0.00502408, -0.3286823 ],\n", " dtype=float32)}" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "{k: v.values[0].reshape(-1)[:5] for k, v in trace_13_4.posterior.items()}\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.33" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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Sgl5b75zb3lA/EfHWH9/eTlGZ78O3YenJfGzGYI8jEq+dO7ovVwRtkv7ei+uprK7xMCIRkcgRNkm9mQ01M+f/WtRIt4eBE/7jn5tZRgN9fg2k+Y8fDHGYIhIC+46X8Nj7dZshv3nJGOJjw+bHkXjoe1eMJ9l/U6pteSf557u7PI5IRCQyhKwQtJlNBaY28nJ/M7ur3nMLnHOHWjOGcy7fzL4B/APfZtkPzex/gdVAX+DTwNX+7ouBJ1rz/iLSOX75+hYq/DOw0wb35NKJ/T2OSMJF/7QkvnLRaH7q30D927e2cdWUTDJ7tuiWIyIiXVYo7+5yLfCDRl4bAzxS77k5QKuSegDn3MNm1h/4MTAU+FsD3ZYC1zvn9LmtSJhZt7+Al1YfCLS/ffk4lbCUU9x51lCezdnP5kNFlFRU85N5G/nz7dlehyUiEtYi8vNu59zPgDOBx4A9+O4gexTf7Px9wLnOuePeRSgijXnw9S2B40sm9OP0ob09jEbCUXxsDD+5dmKg/er6QyzakudhRCIi4S9kM/XOuR8CP2zH+buBFk/XOeeWUVcNR0QiwIrdx1my9QgAMQbfuGRsM2dIVzV9aG9uzM7i2RzfLUp+Mm8j54zqS2yMPtUREWlIRM7Ui0hk+vUbWwPH104dyMiM5m4OLV3Z/7tsLKmJvrmnHUeKeX7l/mbOEBHpupTUi0ineH/HMZbu8NUdj40xvnjBKI8jknDXJyWR+84dHmj/5s1tlFdVexiRiEj4UlIvIh3OOcev36hbS3/jtCyG+u8eKtKUe2YNo3ey716DufmlPPXhXo8jEhEJT0rqRaTDvbv9KMt3+24xER9rfP78kR5HJJEiJTGOz84eEWj/4e3tlFRUeRiRiEh4UlIvIh3KOcevXq9bS3/z6YMY1Lu7hxFJpLl95hAGpCUBcPRkBf/SbL2IyEcoqReRDvX2ljxW78sHICEuRrP00mpJ8bF8dk7ddfPXJTspq9TaehGRYErqRaTD+NbS183Sf3zGYAak6c6g0no3ZWfRr0ciAEeKynl6+T6PIxIRCS9K6kWkw7y5KY/1uYUAJMXH8Nk5I5o5Q6RhSfGxfPrcuuvnL4t3qBKOiEgQJfUi0iGcc/zh7e2B9u1nDCEjNcnDiCTSfWzGYNJTfJVwDhaU8fzKXI8jEhEJH0rqRaRDvL/jGGuC1tJ/KqjeuEhbdEuI5b5z6q6jPy3aTmV1jYcRiYiEDyX1ItIh/riobpb+5tOzyOihWXppv9tnDqFX93gA9h0v5aXVBzyOSEQkPCipF5GQW7X3BO9tr7t7bPBaaJH2SE6M495ZwwLtvy3ZgXPOw4hERMKDknoRCbk/LdoROL5mSqbq0ktI3XHWULonxAKw9fBJ3t9xzOOIRES8p6ReREJqy6Ei3th4ONC+f7Zm6SW0eiTFc2N2VqD9yNLd3gUjIhImlNSLSEj9OWgt/SUT+jGqX6qH0Ui0uvOsoYHjNzcdZt/xEu+CEREJA0rqRSRk9h4r4eU1dRsXPztbd4+VjjGibwrnje4LgHPwqGbrRaSLU1IvIiHzlyU7qPHvWTxnVDpTBvX0NB6JbnedPTRw/PSKfRSXV3kXjIiIx5TUi0hIHC4s49kV+wNtzdJLRztvVF+GpScDUFRWxfOrdDMqEem6lNSLSEj8452dVPhvBDRtcE9mDu/tcUQS7WJijDvPHBJoz31vl8pbikiXpaReRNrtRHEFT364N9D+3JyRmJmHEUlXcUN2FimJcQDsOFLMu9uPehyRiIg3lNSLSLs9snQ3JRXVAIztn8r5YzM8jki6itR65S3nvrfbu2BERDykpF5E2uVkeRVz39sVaH9Ws/TSye46ayi1l9zCLXnsPlrsbUAiIh5QUi8i7fLkB3soLPNVHRnapztXTBrgcUTS1QxNT2bOGN+nQ87Bo+/v9jYgEREPKKkXkTYrq6zm7+/UzdJ/5rwRxMZoll46311BN6N6ZsV+Tqq8pYh0MUrqRaTNnsnZz9GT5QD075HEddMGehyRdFXnjEpnRF9fecuT5VU8l7O/mTNERKKLknoRaZPqGsffl+wMtO87dziJcbEeRiRdmZmdMlv/6NLd1NSovKWIdB1K6kWkTd7YeIi9x0sASOsWz63TB3kckXR110/LItVf3nLn0WKWbDvicUQiIp1HSb2ItMnfgmbpb585mGR/MiXileTEOG4O+uNy7tLd3gUjItLJlNSLSKvl7DnOyr35ACTExnDnmUM9jUek1p1n1pW3XLz1CPtPlHgbkIhIJ1FSLyKtFjxLf+1pmWT0SPIwGpE6g/t0Z9bIdMBX3vJZbZgVkS5CSb2ItMquo8W8vvFwoP3Jc4Z7GI3IR918et0SnGdW7NeGWRHpEpTUi0irPPzuTpw/R5o9pi+j+6V6G5BIPRdP6EfP7vEA5OaX8t6Oox5HJCLS8ZTUi0iLHS+u4JkVdcsZPqVZeglDiXGxXDu17p4JTy/f52E0IiKdQ0m9iLTYEx/sobyqBoAJmT04c0QfjyMSadgtQVVwXt9wmBPFFR5GIyLS8ZTUi0iLlFVW82hQicBPnTscqy0zIhJmxg3oweSsNAAqqmt4cXWuxxGJiHQsJfUi0iIvrMrlmH+2MzMticsnDfA4IpGmBW+YfXr5PpzThlkRiV5K6kWkWTU1joff3RVo3332MOJj9eNDwtvVUzNJivddp5sPFbEut8DjiEREOo5+K4tIsxZvO8L2vJMApCTGccuMQc2cIeK9Hknxp3yi9J8V2jArItFLSb2INOufQbP0t0wfRI+keA+jEWm54CU4L60+QFlltYfRiIh0HCX1ItKkzYcKeWebr853jMFdZw31NiCRVjhjWG+G9OkOQFFZFa9tOORxRCIiHUNJvYg06eF36mbpL53Yn0G9u3sYjUjrmBk3ZWcF2sH3WRARiSZK6kWkUXlFZby0+kCgfe8s3WxKIs/107Korb763o6j7Dte4m1AIiIdQEm9iDTqiff3UFHtu9nUaYN7kj2kl8cRibReZs9unDOqLwDOwXMrNVsvItFHSb2INKissprHP9gTaH9Ss/QSwW4+/dQlODU1qlkvItFFSb2INOj5lbmcKKkEYGDPblwyoZ/HEYm03YXj+pHWzVe1KTe/lA92HvM4IhGR0FJSLyIf4bvZ1M5A++6zhxKnm01JBEuKj+XaqZmBtmrWi0i00W9pEfmIxduOsONIMeC/2dR03WxKIt9NQTXrX11/iKKySg+jEREJLSX1IvIRwWUsb50+iFTdbEqiwMSBaYztnwpAeVUNC9arZr2IRA8l9SJyik0HC3l3e93Npu7UzaYkilx32sDA8Yurcz2MREQktJTUi8gp5r63O3Csm01JtLl6amagZv3SHcc4XFjmbUAiIiGipF5EAk4UV5wye3nP2cM8jEYk9AakdWPmsD6Ar2b9y0E3VxMRiWQhT+rNLMvMHjCzjWZ20szyzWyVmX3fzEJy5xozSzez75jZu2Z2zMwqzazQzNaY2e/MbHwoxhHpap5esY/yKt/NpiZk9tDNpiQqaQmOiESjkCb1ZnYpsA74JjAOSAbSgKnAj4B1ZpbdzjEuADYDPwXOBnoDcUAqMBn4ArDGzL7ennFEuprqGsfj79fdbOrOs4ZitesURKLIpZP6kxDn+/W34UAh2w4XeRyRiEj7hSypN7PJwLNAT6AE+AEwC5gNPARUAwOBeWaW2fC7NDvGMOBloI//qfnATcAM4Crgj0AVviT/QTO7uW3fjUjX8+amw+TmlwLQq3s8V09p0/+mImGvR1I8F47LCLQ1Wy8i0SCUM/W/wTczXw1c5pz7sXPuPefcYufcV4G7/P3645tlb4uvAbW79n7tnLvSOfesc265c26ec+7zQHAi/702jiPS5Ty6dHfg+NYZg0mKj/UuGJEOdu3UoCU4qw5QU+M8jEZEpP1CktT7l9TM8TfnOueW1O/jnHsCWOhv3mFmGfX7tMBZtW+HbznPRzjnXgBW+5sTzSy1DeOIdClbDxexdMcxwFfG8vaZQzyOSKRjzR6TQVo33/0XcvNLWbHnhMcRiYi0T6hm6q8POn64iX7/9D/GAle3YZwE/+Mx51xhE/22N3COiDQieJb+kgn9Gdizm3fBiHSChLgYrpg8INDWEhwRiXShSupn+R9LgOVN9Hu7gXNaY4v/sY+Z9Wii3wj/4zHn3LE2jCPSZRSUVvL8yrqERjebkq4iuArO/LUHqfBXfhIRiUShSuprS0huc85VNdbJOXcAqC0z0Jayk3/xPxqNrJc3s6uB0/zNP7ZhDJEu5ZkV+yitrAZgbP9UzhjW2+OIRDpH9uBegU+lCkorWbQlz+OIRETart1JvZklAun+5v4WnLLP/ziotWM5596gbpPt183sRTO7wcymm9kVZvY7fBV4AF4BHmjpe5tZTkNfwNjWxikSKaprHI+pjKV0UTExxrWn1VV50hIcEYlkoZipD96IerIF/Wv7pLRlMOfc94ALgDeAa/Al8cuAefhq1O8G7gauds6VtGUMka5i0ZY89h73/W+S1i3+lIogIl1B8DX/5qY8CssqPYxGRKTtQpHUB++oq2hB//IGzmsxM+uPL2lvbE3+SOAO4IzWvK9zLruhL3w3uhKJSnODNsjeMn0Q3RJUxlK6llH9UpmQ6duiVVFVw4J1hzyOSESkbUKR1JcGHbek0kxiA+e1iJmNw7cR93agDN/M/BD/uH2BG/El4XOAt3XzKZHG7Thykne2HQXADD6hMpbSRQVvmH1hlZbgiEhkCkVSH3x/7ZYsqant05KlOvU9BmTh+4PgHOfcH5xze51zlc65o86554CZ+BL7BOARM+vXhnFEot5jQbP0F4ztx6De3RvvLBLFrpqSSYx/K8kHu45xuLDM24BERNqg3Um9c64cOOpvZrXglNo++5rsVY+ZTQFO9zefdM5taCSeQuBn/mZ34NbWjCPSFRSVVfJsTt2+9rtUxlK6sH49kjhjWB8AnINX1x30OCIRkdYLVUnLjf7HUWYW11gnM8sEauvLb2ysXyPGBR3nNNM3+HVVrxGp57mc/RRX+MpYjsxI4eyRfTyOSMRbV06puxHVvLVK6kUk8oQqqX/X/9gdmN5Ev9kNnNNSwfXv45vpG/x6o3XzRbqimvplLM8cojKW0uVdOqE/sf41OCv2nOBAfqu3fYmIeCpUSf3zQcf3NtHvHv9jNfByK8fYGXR8TjN9z2vkPJEu753tR9l5tBiA1MQ4rp/WklVzItGtT0oiZ42o+8TqFS3BEZEIE5Kk3jmXAyzyN+8ys48k3WZ2G7768gCPOefy6r0+1Myc/2tR/fOB1dTd3Op6M7u4oVjMbBjwHX+zBpjfim9FJOo9GrRB9sbTs0hObHTFnEiXcuVkLcERkcgVqpl6gC8BxUAssMDMvmdmZ5nZuWb2K+BRf79DwHdb++bOuRrgW/5mLDDfzP5kZpeZ2VQzO8/MfoBvPX1txZuHnXNb2/NNiUSTPceKeXuL7+9pM7jzzKHeBiQSRi6Z0J84/xKc1fvy2Xdc9y8UkcgRsqTeObcWX534fHxr638MvAcsBr6KLxHPBa50zh1o4xhP+t+rEogD7gdeAVbh+6Tgh0Avf/cngc+3ZRyRaPXY+3twznc8e3RfhqYnexuQSBjp2T2BWaPSA20twRGRSBLKmXqccwuAScCDwCZ8M/eFwBp8Cfck/1Kd9ozxEDDeP8YK4AS+Nfon/WM+ApznnLvdOdeSO9yKdAnF5VX8Z0VdJdk7VcZS5COunJwZONYSHBGJJCFfTOuc2w980//VmvN2Ay0qweGc297a9xfp6l5YlUtRma8Y1LD0ZM4d1dfjiETCz0Xj+5EQG0NFdQ3rcgvYfbRYn2iJSEQI6Uy9iIQn5xyPvb870L7jzCHExKiMpUh9ad3iOXd03RKc+VqCIyIRQkm9SBfw/o5jbD18EoDkhFhuzFYZS5HGaAmOiEQiJfUiXcAjQWUsb8jOIjWpufu3iXRdF4zLICHO9+tx08FCdhw56XFEIiLNU1IvEuX2HS/hrU2HA+07VMZSpEmpSfHMGVO352TeGs3Wi0j4U1IvEuWe+GAPNf4ylueMSmdkRoq3AYlEgOAlOPPXtakKs4hIp1JSLxLFSiuq+ffyoDKWmqUXaZHzx2aQFO/7Fbn18Em2Hi7yOCIRkaYpqReJYi+tzqWgtBKAQb27MWdshscRiUSG5MQ4LhjbL9Cet0az9SIS3pTUi0Qp5xxzgzbI3jFzKLEqYynSYldOHhA4nrfuIK72dswiImFISb1IlFq26zibD/mWDHSLj+Xm0wd5HJFIZJk9JoPuCbEA7DxSzKaDWoIjIuFLSb1IlHo06GZT100bSFp3lbEUaY1uCbFcOC5oCc5aLcERkfClpF4kCh3IL+W1DXVlLLVBVqRtgpfgzNcSHBEJY0rqRaLQkx/uodpfx/LM4X0Y0z/V44hEItO5o/uSmhgHwJ5jJazPLfQ4IhGRhimpF4kyZZXVPLUsqIzlWUO9C0YkwiXFx3LReC3BEZHwp6ReJMrMW3uQ48UVAAzs2Y0Lx6mMpUh7XDklqArOWi3BEZHwpKReJIo453g0qIzl7TOHEBer/81F2mPWyL70SPItwcnNL2X1vnxvAxIRaYB+24tEkdX78lmXWwBAYlwMt05XGUuR9kqIi+GSCf0D7XlrD3oYjYhIw5TUi0SRxz/YEzi+akomvZITPIxGJHpcOSUzcDx/7UFqarQER0TCi5J6kShxvLjilBnEO84c4mE0ItHlrBF96OW/18OhwjJW7j3hcUQiIqdSUi8SJZ5ZsY+KqhoApmSlMTmrp7cBiUSR+NgYLp2oJTgiEr6U1ItEgZoax5Mf7g20b5upWXqRULtyct0SnFfWHQzcC0JEJBwoqReJAku2HWHv8RIA0rrFc1VQ8iEioXHGsN708e9TySsqZ8Xu4x5HJCJSR0m9SBR4ImiD7E3ZWXRLiPUwGpHoFFdvCc78dVqCIyLhQ0m9SITbd7yEtzbnBdpaeiPSca6YXHcjqlfWHdISHBEJG0rqRSLcU8v2UnuDy3NGpTMsPdnbgESi2BnD+pCe4luCc/RkOct2aQmOiIQHJfUiEay8qpqnl+8LtG/XLL1Ih4qNMS6bWDdbP3/dAQ+jERGpo6ReJIItWH+IY8UVAAxIS+KCsRkeRyQS/a4MWoKzYP0hqqprPIxGRMRHSb1IBAveIPvxGYOJi9X/0iId7fShvclITQTg6MkKLcERkbCgDEAkQm09XMTy3b67WsbFGLfMGORxRCJdQ2yMcfmkutn6/+pGVCISBpTUi0Sop5bV3Wzq4gn9yEhN8jAaka7lilOW4BzUEhwR8ZySepEIVFZZzXM5+wPtj80Y7GE0Il1P9uBe9OvhW4JzoqSS93ce8zgiEenqlNSLRKBX1h2ksKwKgMG9u3P2iHSPIxLpWmLqLcGZryU4IuIxJfUiEehfH9Ytvbl1xiBiYszDaES6plOq4Gw4RKWW4IiIh5TUi0SYrYeLWLGnboPsjdlZHkck0jWdNqgXA9J8e1nySypZukNLcETEO0rqRSJM8Cy9NsiKeCcmxrjilCU4uhGViHhHSb1IBCmrrOb5ldogKxIugqvgvLbhMBVVWoIjIt5QUi8SQeav1QZZkXAydVBPBvbsBkBBaSXv7TjqcUQi0lUpqReJIMG16bVBVsR7ZnbKbP28NaqCIyLeUFIvEiHqb5C9KVt3kBUJB8Hr6l/feIjyqmoPoxGRrkpJvUiEqL9Btm9qoofRiEityVlpZPXyLcEpKqvi3W1agiMinU9JvUgEqL9B9uMzhngYjYgEq78ERzeiEhEvKKkXiQD1N8ieNaKPxxGJSLArJ2UGjt/YeJiySi3BEZHOpaReJAL8K2iD7MdmDNYGWZEwM3FgD4b06Q5AUXkV72gJjoh0MiX1ImFuy6EicnQHWZGwZqYbUYmIt5TUi4S54DKWl0zorw2yImEqeF29luCISGdTUi8SxkordAdZkUgxfkAPhqUnA1BcUc3irUc8jkhEuhIl9SJhbP66ug2yQ/pog6xIOKu/BGeequCISCdSUi8Sxk65g+x0bZAVCXfBS3De2nSY0gotwRGRzqGkXiRMBW+QjY81bjpdG2RFwt3Y/qkM7+tbglNSUc2iLXkeRyQiXYWSepEwFTxLf/H4/qSnaIOsSLgzM64MXoKzTktwRKRzKKkXCUOlFdU8F3wH2TO0QVYkUlw5pe5GVAs35VFSUeVhNCLSVSipFwlD89cdpChog+yZw7VBViRSjO6XyqiMFABKK6t5e7Oq4IhIxwt5Um9mWWb2gJltNLOTZpZvZqvM7Ptm1ivEY40ys5+b2WozO2ZmZWa218yWmNmPzWxiKMcT6Sz/+nBP4Fh3kBWJPMEbZuev042oRKTjxYXyzczsUuApoGe9l6b6vz5lZtc453LaOY4B3wO+AyTUe3mQ/+scoAfw5faMJdLZNh8qZOXefMC3QVZ3kBWJPFdMGsBv3twGwMLNeRSXV5GcGNJfuSIipwjZTL2ZTQaexZfQlwA/AGYBs4GHgGpgIDDPzDIbfpcW+yPwI3wJ/Rp8ift5wGnARcA3gfeBmnaOI9LpnvowaIPsBG2QFYlEo/qlMqZfKgBllTUs3KwqOCLSsUI5bfAbIBlf8n6Zc25J0GuLzWwl8DjQH/gpcE9bBjGzO4H7/c0HgW855+on728CD5pZ/Vl8kbBWWlHN86tyA+2P6w6yIhHriskD2PJGEQDz1h7gqintnc8SEWlcSGbqzSwbmONvzq2X0APgnHsCWOhv3mFmGW0YJwX4tb+5wDn3zQYS+uAxK1o7hoiX5q09ENggO1QbZEUi2uVBpS3f3nKEk+WqgiMiHSdUy2+uDzp+uIl+//Q/xgJXt2GcjwO9/cc/acP5ImHtlDvIaoOsSEQbmZHC2P6+JTgVVTW8temwxxGJSDQLVVI/y/9YAixvot/bDZzTGrf4H48555bWPmlm6WY20sx6tuE9RcKCNsiKRJ/gJTfz1upGVCLScUKV1I/3P25zzjX6+aJz7gBQVO+cFjGzGGC6v7nWfD5nZtuAI8A24IS/lOaXtZ5eIo02yIpEn+AlOIu3HKGorNLDaEQkmrU7qTezRCDd39zfVF+/ff7HQa0cahCQ6j8+jq/Szh+AkfX6jcNXbedNM0tr6ZubWU5DX8DYVsYp0mr1N8jepg2yIlFhWHoyEzJ7AFBRXcObWoIjIh0kFDP1qUHHJ1vQv7ZPSivH6R10fAW+dfy7gBuBNHyVdy6gbvnPOcA/WjmGiCfqb5CdqQ2yIlHjlBtRaQmOiHSQUCT13YKOW1JtpryB81oiOeg4Cd+Sm7Odc8855wqdcyXOuYX46uKv8/e70cym0wLOueyGvoDNrYxTpNX+FbRBVneQFYkuVwQtwVmy9SgFpVqCIyKhF4qkvjTouCXr2GsXCpc22eujyuq1/88595EpD+dcCb47zda6tZXjiHSqLYeKWBW0QfYGbZAViSpD+iQzaaBvNWhFdQ1vbtQSHBEJvVAk9UVBxy1ZUlPbpyVLdRobB+DVJvq+CdRu2G3RTL2IV55ZsS9wfNH4ftogKxKFgpfgzFt7wMNIRCRatTupd86VA0f9zZZMMdb22ddkr4/aD7igdqPnO+dKg2Lq28pxRDpNZXUNLwRtkL359NbuHxeRSBC8BOedbUcpKNESHBEJrVCVtNzofxxlZnGNdTKzTKBHvXNaxDlXDOwOeiq2mVNqX69uzTginWnh5jyOFfu2ovTvkcQ5o/Q3qEg0GtS7O1MG9QSgqsbx2sZD3gYkIlEnVEn9u/7H7jS93GV2A+e0xpKg4xGNdfKXsqwts5nbWD8RrwUvvbkheyCx2iArErWunKQqOCLScUKV1D8fdHxvE/3u8T9WAy+3YZxngo5vaKLfdUBtdrSkiX4inskrKuPtLUcC7ZuytfRGJJpdNql/4Pi97Uc5UdySgnEiIi0TkqTeOZcDLPI37zKzc+r3MbPb8NWRB3jMOZdX7/WhZub8X4vqn+/3KrDGf/wlMzutgXEGAj/zN8uBR1rzvYh0lhdW5lJd49smMmNYb4amJzdzhohEsqxe3TltcE/AtwRn3jrN1otI6IRqph7gS0AxvrXsC8zse2Z2lpmda2a/Ah719zsEfLctAzjnaoD78SXr3YDFZvZ9/zgzzOwLwDIg03/Kd5xzKjMgYcc5x3+Clt7cpDKWIl3CtVMHBo5fWNmSm7CLiLRMyJJ659xafHd3zce3tv7HwHvAYuCr+JL9XODK9iTazrn3gZuBAnx3s/2Rf5wPgd/hS+gd8EPn3K/aOo5IR1q1L58dR4oBSE6I5fKgtbYiEr2umpJJnH/vzMq9+ew+WuxxRCISLUI5U49zbgEwCXgQ2IRv5r4Q35KZHwKT/Et12jvOy8AE4AFgA74a9qXADuAfwFTn3I/aO45IRwneIHvF5AEkJzZaNEpEokjv5ARmj6mrcvXiatVyEJHQCHkm4ZzbD3zT/9Wa83ZTt7m1Jf1zgW/5v0QiRklFFf9dU7eWVrXpRbqW607L4s1Nvm1lL6zK5UsXjMJMla9EpH1COlMvIs1bsP4QJ8t9Nzwenp5M9pBeHkckIp3pgnEZpPo/ndtzrISVe/O9DUhEooKSepFOFrxB9sbTszRDJ9LFJMWfuo/mhVXaMCsi7aekXqQT7T1Wwgc7jwMQY3DDNFW9EemKrptWVwVn3tqDVFTVeBiNiEQDJfUinejZnLpZ+tljMujXI8nDaETEKzOG9mZgz24A5JdUsmhLXjNniIg0TUm9SCeprnE8m1P3Mbtq04t0XTExxrWnZQbaL6xSFRwRaR8l9SKdZOmOoxwoKAN8Ze0uGNfP44hExEvXnVa3BOetTXkUlFR6GI2IRDol9SKd5D8r6mbpr5maSUKc/vcT6cpGZqQyaWAaABXVNcxfd7CZM0REGqesQqQTFJRU8tqGQ4H2TdmqTS8ip87WqwqOiLSHknqRTvDymtxAdYtJA9MYn9nD44hEJBxcPTWT2BhfWdvlu0+w73iJxxGJSKRSUi/SCZ4J3iB7ujbIiohPekoi545KD7Rf1IZZEWkjJfUiHWzTwULW7i8AICEuhqunZDZzhoh0JdeesgQnF+ech9GISKRSUi/SwZ4J2iB78fh+9Oye4GE0IhJuLh7fn5TEOAB2Hi1mjX8SQESkNZTUi3SgiqoaXlxd93H6zadrg6yInKpbQiyXTuwfaL+wUhtmRaT1lNSLdKCFmw9zvLgCgMy0JM4emd7MGSLSFV0ftATnv2sPUlld42E0IhKJlNSLdKDgpTc3ZGcFqlyIiASbObwPA9KSADheXMHiLUc8jkhEIo2SepEOcriwjLe35AXaN2ar6o2INCwmxrh6at0m+hdWqwqOiLSOknqRDvL8ylxq/EUsZg7vzZA+yd4GJCJh7frT6v7wf2PjYQrLKj2MRkQijZJ6kQ7gnOOZnH2Btu4gKyLNGdM/lfEDfDemq6iq4dV1Bz2OSEQiiZJ6kQ6wcu8Jdh4pBiAlMY7LJvVv5gwREbh+Wt2G2edXagmOiLScknqRDhC8QfbKyQPonhDnYTQiEimunpJJ7X76D3cdZ/+JEm8DEpGIoaReJMRKKqqYt7buY/ObVJteRFooo8eppW9fWn3Aw2hEJJIoqRcJsdc3HOZkeRUAw/smM21wT28DEpGIcuoSnP045zyMRkQihZJ6kRB7LuhukDdMy8JMtelFpOUumdCf7gmxAOw4Usz63EKPIxKRSKCkXiSEDhWU8d72owCYwbVBd4kUEWmJ7glxXDqhbnP986v2N9FbRMRHSb1ICL24uq42/ZnD+zCwZzdvAxKRiHRd0BKcl1cfoLK6xsNoRCQSKKkXCRHnHM/l1M2oXT9Nd5AVkbY5a0Q6/XskAXCsuIK3NuU1c4aIdHVK6kVCZMOBQrblnQSgW3wsl05UbXoRaZvYGOOG7LrZ+v+s2NdEbxERJfUiIRO8Qfayif1JSVRtehFpu5uDyuEu2pLHoYIyD6MRkXCnpF4kBCqra3g5qJ60lt6ISHsN6ZPMzOG9Aahxp04ciIjUp6ReJAQWbznCseIKAPr3SOLMEX08jkhEosEt0+tm6/+zYh81NapZLyINU1IvEgLBJeeuPW0gsTGqTS8i7XfZxAGkJvmW8u05VsKy3cc9jkhEwpWSepF2yi+p4M2NdZUpgu8GKSLSHknxsVwzNTPQ/s9ybZgVkYYpqRdpp3lrD1LhryE9aWAao/ulehyRiEST4A2zr6w/SGFZpYfRiEi4UlIv0k7PB21eu0Gz9CISYpMGpjG2v2+yoKzy1E35IiK1lNSLtMPOIydZuTcfgLgY46opmU2fICLSSmb2kQ2zIiL1KakXaYcXVuUGjueMzaBPSqKH0YhItLp26kASYn2/stfuL2DTwUKPIxKRcKOkXqSNamocz6+sS+q19EZEOkqv5AQuntAv0NZsvYjUp6RepI0+3HWc3PxSAHp2j2fO2AyPIxKRaBa8BOeFVbmUV1V7GI2IhBsl9SJtFHx3x6smZ5IYF+thNCIS7c4ekc7Ant0AyC+p5I2Nhz2OSETCiZJ6kTYoqaji1XUHA+0bsrM8jEZEuoKYGOPGoJ81T6tmvYgEUVIv0gavbThEcYXvo+/hfZOZkpXmcUQi0hXcdHoW5r9h9TvbjrLraLG3AYlI2FBSL9IGp26QzcJqf8uKiHSgrF7dmTOmbv/OEx/s8TAaEQknSupFWulgQSnvbj8KgBlcd5qq3ohI57njzCGB4/+s2EdJRZWH0YhIuFBSL9JKL646gHO+47NG9CHTv3FNRKQznDuqL0P7dAegqKyKl3SHWRFBSb1IqzjneD6o6s31p2mDrIh0rpgY4/aZdbP1j72/B1c70yAiXZaSepFWWJdbwLa8kwB0T4jl0on9PY5IRLqim7IHkRTv+xW+6WAhOXtOeByRiHhNSb1IKwRvkL10Yn+SE+M8jEZEuqq07vFcO7VuP8+j72vDrEhXp6RepIUqqmp4aXVdUn/jNC29ERHvfCJow+yC9QfJKyrzMBoR8ZqSepEWWrQljxMllQBkpiUxc3gfjyMSka5sQmYapw/pBUBltePfy3QzKpGuTEm9SAs9F7RB9rppA4mJUW16EfFW8Gz9kx/uobK6xsNoRMRLSupFWuBEcQULN+cF2tep6o2IhIHLJg4gPSURgMOF5byx8bDHEYmIV0Ke1JtZlpk9YGYbzeykmeWb2Soz+76Z9Qr1eP4xY8zsfTNztV8dMY50Xf9de4DKat9lNWVQT0ZmpHgckYgIJMTF8PEZgwLtue/t9i4YEfFUSJN6M7sUWAd8ExgHJANpwFTgR8A6M8sO5Zh+nwNmdsD7igDw3MrgDbK6g6yIhI/bZg4hPta3HHDZ7uOs2ZfvbUAi4omQJfVmNhl4FugJlAA/AGYBs4GHgGpgIDDPzDJDOO4g4GeAA46E6n1Fam3POxn4JRkfa1w5OWSXr4hIu/XrkXTKz6WH393lYTQi4pVQztT/Bt/MfDVwmXPux86595xzi51zXwXu8vfrD/w0hOP+CUgFHgY2hvB9RQBOuYPsBWP70Ss5wcNoREQ+6t5ZwwLHr6w7yIH8Ug+jEREvhCSp9y+pmeNvznXOLanfxzn3BLDQ37zDzDJCMO4twJX4Zuj/p73vJ1JfTY3jhVV1S2+u19IbEQlDEwemMXN4bwCqahyPvr/b24BEpNOFaqb++qDjh5vo90//YyxwdXsG9G+6/a2/+TXn3PH2vJ9IQ97feYyDBb4buvROTmD2mHb/LSoi0iHunTU8cPyvD/dSXF7lYTQi0tlCldTP8j+WAMub6Pd2A+e01S+BfsDbzrnH2/leIg0Krk1/9ZRMEuJUBVZEwtMFYzMY2qc7AEVlVTybs7+ZM0QkmoQqQxnvf9zmnGt0asA5dwAoqndOq5nZHOAeoBz4TFvfR6QpxeVVLFh/KNC+YZpq04tI+IqJsVPW1v/zvV1U16jCs0hX0e6k3swSgXR/syXTArX3sR7UZK/Gx0sC/uZv/tw5t7Ut79PA++Y09AWMDcX7S+R5df0hSiqqARiVkcLEgT08jkhEpGk3ZGeR1i0egD3HSnhzk25GJdJVhGKmPjXo+GQL+tf2aevde34AjAS2Ar9o43uINOu5oI+ub8jOwsw8jEZEpHndE+L4+BmDA22VtxTpOkKR1HcLOq5oQf/yBs5rEX8t/K/7m/c758qb6t8azrnshr6AzaEaQyLHvuMlvL/zGAAxBtedpqo3IhIZ7jxzKHEx/ptR7TrO2v353gYkIp0iFEl9cDHclhTwTmzgvGaZWQzwDyAOeNw5t7CZU0TaLLiM5Tmj+tKvR5KH0YiItFz/tCSunDwg0P7L4h0eRiMinSUUSX1R0HFLltTU9mnJUp1gXwKmA8eBr7XyXJEWc86dUvXmxmxtkBWRyPKpc0cEjl9df4jtea39lSsikSauvW/gnCs3s6P4Nsu2JPup7bOvyV4f9S3/49vABY2sbw4UETezW/2HFc6551s5lnRhK/acYM+xEgBSk+K4aHw/jyMSEWmd8Zk9OH9sBgs35+Ec/HXxDh68aYrXYYlIB2p3Uu+3ETgXGGVmcY2VtTSzTKBH0DmtUbts5wb/V3Oe8j8WAErqpcWeXVE3S3/VlEyS4mM9jEZEpG0+O3sECzfnAb4lhV++aDQDe7Z6O5uIRIhQ1al/1//YHd8SmcbMbuAckbBRWlHN/HUHA23VpheRSHX60N7MGNobgKoax9+X7PQ4IhHpSKFK6oNnwu9tot89/sdq4OXWDOCc6+mcs6a+gMVB/Wuf79macaRre23DIU76b60+PD2ZaYN7ehuQiEg7fHZO3dr6fy/fy7GTISsaJyJhJiRJvXMuB1jkb95lZufU72NmtwEX+JuPOefy6r0+1Myc/2tR/fNFOsOzqk0vIlHkvNF9mZDpW/VaVlnDI+/t9jYgEekwoZqpB191mmIgFlhgZt8zs7PM7Fwz+xXwqL/fIeC7IRxXJCQO5Jfy3o6jAJhq04tIFDAz7p9dN1v/6NLdnChuyS1lRCTShCypd86tBW4E8vGtrf8x8B6+JTFfxZfs5wJXOucOhGpckVB5YVUuzvmOzx6RTqY2lIlIFLhs4gCG900GoKi8SnXrRaJUKGfqcc4tACYBDwKb8M3cFwJrgB8Ck/xLdUTCinPulKU3qk0vItEiNsb4+sVjAu25S3dzqKDMw4hEpCOENKkHcM7td8590zk33jmX4pxLc85Ndc79yDl3oonzdgdtbp3dxrFnB22aFWmxlXvz2XW0GICUxDgumdDf44hERELnson9mTQwDYDyqhp++9Y2jyMSkVALeVIvEomCZ+mvmDSAbgmqTS8i0cPM+J9Lxwba/1mxj51HdJdZkWiipF66vLLKauatrdvmcePpWnojItFn1qh0zh7ZB4DqGsev3tjqcUQiEkpK6qXLe23DIYrKfLXph/TpzulDenkckYhIx/jmJXWz9fPXHmTd/gIPoxGRUFJSL13e08v3BY5vmKba9CISvaYM6sllE+v2DP3fa5s9jEZEQklJvXRpe44Vs3THMQBiDG7S0hsRiXJfu3g0Mf65i3e2HWXp9qPeBiQiIaGkXrq04Fn62WMyGJCm2vQiEt1GZqSeUrb3gde24Gpv0iEiEUtJvXRZVdU1PBNU9eaW6YM8jEZEpPN86cLRJMT5UoA1+/J5bcNhjyMSkfZSUi9d1ttbjnCkqByAvqmJnD82w+OIREQ6x8Ce3bhj5pBA+/9e20xFVY2HEYlIeymply7r6eV7A8c3ZmcRH6v/HUSk6/jsnJGkJsYBsPNIMY8u3e1tQCLSLspipEs6VFDGws15gfbNp2vpjYh0Lb2TE/jShaMC7d++tY28wjIPIxKR9lBSL13Scyv3U+PfFzZzeG+GpSd7G5CIiAfuPGsoIzNSADhZXsUvXlWJS5FIpaReupyaGndK1Ztbpw/2MBoREe/Ex8bww6smBNrPr8olZ89xDyMSkbZSUi9dzgc7j7H3eAkAPZLiuDToRiwiIl3NrFHpp9yQ6vsvbaC6RiUuRSKNknrpcp4KmqW/7rSBJMXHehiNiIj3vnPFOJLifSnBhgOFPLVsbzNniEi4UVIvXcqJ4gpeW38o0L5FS29ERMjq1Z3Pzh4ZaP/y9S2cKK7wMCIRaS0l9dKlvLAql4pqXy3mKVlpjM/s4XFEIiLh4VPnDmdQb99dtfNLKrVpViTCKKmXLsO5UzfIapZeRKROUnws37+ybtPs0yv2sXCz7jQrEimU1EuXsWpfPlsOFwHQLT6Wq6YM8DgiEZHwctH4flwxue5n4/88t07LcEQihJJ66TL+9WHdxq8rJw8gNSnew2hERMLTT66ZSHpKIgBHisr57kvrcU7VcETCnZJ66RIKSir575oDgfZtM4d4GI2ISPjqnZzAL66fFGjPX3uQp5bta+IMEQkHSuqlS3hu5X7Kq3wbZCdk9mBKVprHEYmIhK8Lx/fj1umDAu0fvryB9bkFHkYkIs1RUi9RzznHkx/uCbRvO2MIZuZhRCIi4e+HV09gbP9UACqqa7j/yRwKSio9jkpEGqOkXqLeh7uOs+NIMQApiXFcPTXT44hERMJfUnwsf749m5TEOAD2HS/l68+u0fp6kTClpF6i3pNBG2SvPS0z8AtKRESaNiw9mQdvnBxov7HxMH9evMPDiESkMUrqJaodPVnOgvUHA+2Pz9AGWRGR1rhs0gDuOXtYoP3ga1t4Y6Pq14uEGyX1EtWeWbGfymrfR8XTBvfUHWRFRNrgW5eNZcaw3gA4B1/+9yo2Hyr0OCoRCaakXqJWdc1HN8iKiEjrJcTF8Jfbs8nq1Q2A4opq7p27gkMFZR5HJiK1lNRL1Hpz02H2nygFoFf3+FPukigiIq3TOzmBh++cTnJCLAC5+aXc+c9lFJSqIo5IOFBSL1Hrkfd2BY4/NmMwSfGxHkYjIhL5xvRP5Y+3TSMuxlcWeMvhIu57dAVlldUeRyYiSuolKm06WMgHO48DEBtj3K47yIqIhMTsMRn8X1BFnGW7j3PfY0rsRbympF6i0tz3dgeOL53Yn8ye3bwLRkQkylw/LYvvXD4u0H5n21E+/XgO5VVK7EW8oqReos7x4gpeXJ0baN9z9lDvghERiVL3nTucr1w4OtBevPUI9z+xUom9iEeU1EvUeWrZXsqragCYNDCNaYN7eRyRiEh0+tKFo/jiBaMC7YWb87j/iZVaiiPiASX1ElUqq2t4/P26MpZ3nz0UM/MwIhGR6PaVC0fx+TkjA+2Fm/O44+Fl5BWp3KVIZ1JSL1HltQ2HOFTo+0WSnpKoMpYiIh3MzPjaxaNPSeyX7T7O5b99l/e2H/UwMpGuRUm9RJVHgjbI3nbGYBLjVMZSRKSjmRlfv2QM37l8HLUfjh49Wc7tD3/Ib97cSnWN8zZAkS5ASb1EjbX788nZcwKA+FjjtpmDPY5IRKRrue/c4Txx7xmkpyQA4Bz85s1t3PSXpWzPO+lxdCLRTUm9RI3gMpZXTs4kIzXJu2BERLqos0em88oXz2Hm8N6B51buzefy373DH9/eTlV1jYfRiUQvJfUSFfKKyvjv2gOB9l1nDfUuGBGRLi6jRxJPfnImX7lwdODusxVVNTz42hau+sN7LNl6BOe0JEcklJTUS1T414d7qaz2/YKYNrgnUwb19DYgEZEuLjbG+NKFo/jvF2YxaWBa4PlNBwu545/L+PjfP2TV3hMeRigSXZTUS8Qrrag+pYzlXWcP8zAaEREJNm5AD1747Fl867KxJMbVpR3v7zzGdX9ayj1zlyu5FwkBJfUS8Z7J2cex4goAMtOSuGxif48jEhGRYHGxMXzmvBEs/sYcPn7GYGJj6u4fsnBzHtf9aSkf+9sHvLLuIJVacy/SJnFeByDSHlXVNfxtyc5A+75zhxMfq79VRUTCUf+0JP73ukncd85wfv3GVuatPUDt0vr3dx7j/Z3H6JuayK3TB3HrjMEM7NnN24BFIoiyH4lo89cdZP+JUgB6dY/nlumDPI5IRESaMyw9md9/7DTe+Mq5XHfaQIIm7jlSVM7vF27nnAcW8slHl/PquoMUlVV6F6xIhNBMvUQs5xx/WVw3S3/nWUPpnqBLWkQkUozMSOWhW6byjUvG8O/l+/j3sr3kFZUDUOPgzU15vLkpj7gYY9qQXswc1pvpw3ozbXAvkhP1814kmP6PkIi1eOsRNh0sBKBbfCx3njnU24BERKRNMnt246sXjeYL54/krU2HeeKDvby7/Wjg9aoax7Jdx1m26zjgq6wzMbMHM4b1ZvpQ31ev5ASvwhcJC0rqJWL9edGOwPGtMwbpB7qISISLj43h0okDuHTiAHYdLea5nP28vSWPDQcKT+lXXeNYs7+ANfsL+Ps7uwAY3S+F6UN7M2NYb84c3oeMHroBoXQtSuolIq3ce4IP/TM2cTHGJ88Z7nFEIiISSsPSk/n6JWP4+iVjyCsq48Odx1m+2zdbv+VwEfXvXbX18Em2Hj7Jkx/uBWBCZg/mjMng/HEZTMnqeUrFHZFopKReItLv3toWOL56SqYqJIiIRLGM1CSumpLJVVMyASgoqWTFHl+Cv2z3cdbtL6Cq5tQsf8OBQjYcKOQPb2+nd3ICs0f35fxxGZwzqi9p3eK9+DZEOpSSeok4q/aeYNGWIwDEGHx2zkiPIxIRkc6U1j2eC8b144Jx/QAoqahi9d58lu0+zgc7j7Fi94lTkvzjxRU8vyqX51flEhtjnD6kFxeMy+DSCQMY3Ke7V9+GSEgpqZeI89t6s/QjM1I8jEZERLzWPSGOs0amc9bIdACKyip5d9tR3t6Sx8LNRzh6sjzQt7rG8eGu43y46zj/+8pmJmelccWkAVwxeQBZvZTgS+QKeVJvZlnAF4CrgMFAFbALeAH4vXOuzfeCNrN44HzgImAmMAboCZQAe4DFwF+dc+vb8S1IGKs/S//580d5HJGIiISb1KR4Lps0gMsmDaCmxrH+QAELN+excHMea/cXnNJ37f4C1u4v4Oevbua0wT25MTuLq6dkkpqkJToSWczV32nSnjczuxR4Cl+i3ZBc4BrnXE4b3rsvsAno00zXGuAXzrnvtHaMRsbNmTZt2rScnFaHLB3grkeWBZL6a6Zm8ttbT/M4IhERiSR5RWUs2nyE1zYcYsm2I1RWfzQPSoqP4fJJA/j4jMFkD+mFmTbZSufIzs5m5cqVK51z2a09N2Qz9WY2GXgWSMY3c/4A8JZ/jGuALwIDgXlmlu2cO9DKIRKpS+jXAy8B7wOH/GOeD3wZSAO+bWY1zrnvted7kvCyel9+IKE3gy9oll5ERFopIzWJm6cP4ubpgygoreT1DYeYv+4g7247GliHX1ZZw/Mrc3l+ZS6Ts9K45+xhXD5pAAlxMR5HL9K4kM3Um9lCYA5QDZzvnFtS7/Xbgcf9zUecc/e08v0HAnOBHzjnljbSZxSwFEjHt+xntHNuV2vGaeA9NVMfJu5+ZBlva5ZeREQ6wIniCl5cncvTy/ex+VDRR17PSE3kEzOH8PEzBtMnJdGDCKUraM9MfUj+5DSzbHwJPcDc+gk9gHPuCWChv3mHmWW0ZgznXK5z7qLGEnp/n23Aj/3NOODa1owh4Wv1vvxAQq9ZehERCbVeyQncffYwXv3SObz8+bO55fRBp8zM5xWV86s3tnLmLxbyrefWsudYsYfRinxUqD5Huj7o+OEm+v3T/xgLXB2iset7O+hYtQ6jxG/f3Bo4vmqyKt6IiEjHMDMmZ/XkgRsn8/63zufrF48mI7VuZr6iqoZ/L9/HnF8u4sv/XsW2wx+d1RfxQqiS+ln+xxJgeRP9ghPuWY32ap+EoOPqDhpDOtGHO4+dMkv/xQv0t5qIiHS8PimJfP78Ubz7P+fz21unMjkrLfBajYMXVx/gooeW8JnHc9h0sNDDSEVCl9SP9z9uc85VNdbJvzm29k/a8Y31a6fzgo43ddAY0klqahw/nV/3z3jNlExGZqR6GJGIiHQ1CXExXDN1IC997mz+/amZnDMq/ZTXF2w4xOW/e4evP7OGgwWlHkUpXV27q9+YWSK+jakA+1twyj58Cf2g9o7dQCzJ+CrgAJTjq5DT0nMb2wk7tp1hSTs8vyqXdbm+msKJcTF841L9c4iIiDfMjJnD+zBzeB9W7T3BH9/ezpub8gBwDp7N2c9/1xzgnlnDuH/2CHqo1r10olDM1AdPm55sQf/aPh2xKPqX+G54BfCHNpTNlDBSUlHFg69tDrTvO2c4A3t28zAiERERn9MG9+Ifd07nlS+ew5wxfQPPl1fV8OdFOzjv/97mkfd2UVFV42GU0pWEIqkPzrIqWtC/9l7NIc3OzOwe4DP+5gagVTXqnXPZDX0Bm5s9WTrEXxfv5HCh73Lpm5rI/bNHeByRiIjIqcZn9uCRu2fwr0+ewcSBPQLPnyip5Ef/3cilv13CO9uOeBihdBWhSOqDF48lNNqrTu0W8pAtOjOzy4C/+JtHgeudc1rUFsEOFpTy1yU7Au1vXDyG5MSQ3StNREQkpM4amc7Ln5vFb2+desqnyjuPFPOJh5fx2SdzOJCv1EQ6TiiS+uBaTi1ZUlPbpyVLdZplZucCzwHxQAFwiXNua9NnSbh7cMEWyip9H1mOH9CDG7KzPI5IRESkaTExxjVTB7Lw6+fxncvHkRI0GfXKukNc8KvF/PHt7ZRXqTifhF67k3rnXDm+2XGAlmRetX32tXdsM5sBzMO3lKcYuMI5t7K97yveWrMvn+dX5Qba371yHLEx5mFEIiIiLZcYF8t95w5n4dfO47rTBgaeL62s5sHXtnDZb95hyVYtyZHQClVJy43+x1Fm1ugaCTPLBGoXnG1srF9LmNkUYAG+jbrlwLXOuffa857iPeccP5lXd2lcNL4fZ41Ib+IMERGR8JTRI4mHbpnKfz59JmP719UV2Xm0mDv+uYzPPJ5DrpbkSIiEKql/1//YHZjeRL/ZDZzTamY2DngD6AVUAjc5595s6/tJ+Hhl3SFW7DkBQHys8e3Lx3kckYiISPvMGNabeV+YxfevHE9q0JKcBRsOccGvFmlJjoREqJL654OO722i3z3+x2rg5bYMZGYjgDeBvv73ud0599+2vJeEl7LKan7+at2Npu44cyjD0pM9jEhERCQ04mJjuGfWMN76+nlcP61uSU5ZZQ0PvraFS3/zDou25HkYoUS6kCT1zrkcYJG/eZeZnVO/j5ndBlzgbz7mnMur9/pQM3P+r0X1z/f3GQS8BWQCDrjXOfefUHwP4r25S3ez/4TvY8ie3eP54vmjPI5IREQktDJSk/j1zVN55jOnLsnZdbSYux5ZzqcfX8H+EyUeRiiRKpQ1Ar8ELAWSgQVm9gt8CXgccI3/dYBDwHdb++Zm1gffDP0Q/1N/BHLMbGITpxU753a1dizpfHmFZfxh4fZA+8sXjCKtu+7EJyIi0Wn6UN+SnCc+2MOv3thKUVkVAK9tOMySrUf52sWjueusocTFhmpRhUS7kF0pzrm1wI1APr619T8G3gMWA18FYoFc4Mo23ul1EjA6qP15YF0zX4+0YRzpZM45/t/z6zhZ7vuBNqJvMrfNHNLMWSIiIpEtLjaGu84exsKvzebGoNLNpZXV/HT+Jq7701LW5xZ4GKFEkpD++eecW4Av+X4Q2ISvzGQhsAb4ITDJv1RHJODZnP28tbluNdZPrplIvGYmRESki+ibmsgvb5rCs585kzH96pbkrMst4Oo/vMvPX91EWaU20krTzDnndQxhzcxypk2bNi0nR3+LdITc/FIufWgJRf5Z+jvPHMKPrmlqRZWIiEj0qqiq4e/v7OS3b22joqom8Pyw9GR+fv0kZg7v42F00tGys7NZuXLlSudcdmvP1XSoeMY5x/88uzaQ0A/t053/uWysx1GJiIh4JyEuhs/NGcnrXz6Xs0bUJfC7jhZz698+4DsvrKOorNLDCCVcKakXzzzxwR7e3e67GXGMwa9unkL3hFDu3RYREYlMQ9OTefKTZ/CL6yedUtv+yQ/3cvFDS1i4+bCH0Uk4UlIvnth6uIifzq+rSX/fucPJHtLbw4hERETCi5lx64zBvPHV87hwXL/A8wcLyrhn7gq+9O9VHDtZ7mGEEk6U1EunK62o5vP/Wkm5f63gmH6pfOXC0c2cJSIi0jX1T0vi73dk84ePn0af5ITA8y+tPsBFDy3h5TUH0B5JUVIvne4n8zey9fBJAJLiY/j9x08jKT7W46hERETCl5lx5eRM3vzqeVx/Wt0daY8XV/DFp1Zx/xMrOVKkWfuuTEm9dKrncvbzrw/3Bto/uGoCo4PKd4mIiEjjeiUn8OtbpvLI3dPJTEsKPL9gwyEufmgx/9WsfZelpF46zdr9+fy/F9YF2ldMHsCt0wd5GJGIiEhkmjMmg9e+ci4fmzE48NyJkkq+oFn7LktJvXSKI0XlfPrxnEDN3VEZKTxww2TMzOPIREREIlNqUjw/v34Sj987Q7P2oqReOl5ldQ2f+9dKDhaUAZCaFMff7jidlESVrxQREWmvc0b19c/a1336rVn7rkdJvXQo5xzff2kDy3YdB8AMfvex0xiWnuxxZCIiItHDN2s/mcfu+eis/SW/WcIbG1XXPtopqZcO9es3tvLUsrqNsV+/eAxzxmR4GJGIiEj0Onf0R2ftjxdXcN9jK/j2C+so9t/FXaKPknrpMP98dxe/X7g90L52aiafnT3Cw4hERESiX/Csff8edbP2//pwL5f8ZgnvbDviYXTSUZTUS4d4YdV+fjxvY6A9e0xfHrxpijbGioiIdJJzR/dlwZfP4bKJ/QPP7T9RyiceXsbXn1lDfkmFh9FJqCmpl5B7e3Me33hmbaCdPaQXf74tm/hYXW4iIiKdqWf3BP502zR+ffMUenaPDzz/bM5+Lvz1El5Zd1AVcqKEsiwJqRW7j3P/kzlU1fh+QIzpl8o/75xOtwTdMVZERMQLZsb107J44yvnccXkAYHnj54s57NPruQzT+SQV1jmYYQSCkrqJWQ2HijknrnLKav01aLP6tWNx+6dQVrQzICIiIh4o29qIn/8+DT+9ols+vVIDDz/2obDXPDrxTy9fK9m7SOYknoJiSVbj3DLX9+nsMy3qz49JYEn7j2DfkEbdERERMR7F0/oz+tfOe+UCjlFZVX8z3Pr+NjfP2B7XpGH0UlbKamXdvv3sr3cPXc5Rf4yWamJccy9ewZDVYteREQkLKV181XI+dd9ZzCkT/fA8x/sPM5lv32HX762hbLKag8jlNZSUi9tVl3jeGDBZr71/Dqq/WvoB6Ql8Z/PnMnEgWkeRyciIiLNOWtEOgu+dC6fPnc4sTG+CnWV1Y4/vL2dix5azNub8zyOUFpKSb20ydGT5dz5z2X8edGOwHMTMnvw4ufOZtyAHh5GJiIiIq3RLSGW/3f5OOZ9YRbTBvcMPL/veCl3z13O/U/kcLCg1LsApUWU1EurLdt1nCt+9w7vbj8aeO6CsRn859Nnag29iIhIhBo3oAfPfuYsfnH9JNK61RW5eHX9IS781WL+tmQH5VVakhOulNRLi1VV1/CHhdv42N8/4HBhOQBm8MXzR/K3O04nOTHO4whFRESkPWJijFtnDGbh187jxuyswPPFFdX87yubuUi17cOWknppke15Rdzw56X88vWtgfXzvbrH88hd0/nqxWMC6/BEREQk8vVJSeSXN03h6U/NZFRGSuD5vcdL+OyTK7npL++zau8JDyOU+pTUS5Mqq2v46+IdXP67d1mzvyDw/LTBPZn/xXOYPSbDw+hERESkI50xvA/zv3gO379y/ClLclbsOcF1f1rKF59axb7jJR5GKLW0XkIa5JzjtQ2HeGDBFnYdLQ48nxAbw5cvGsWnzhlOXKz+JhQREYl2CXEx3DNrGNdPG8jvF27nsfd3U1nt+9T+5TUHeHX9QW47YwifnTOCjFTtrfOKkno5RU2NY+mOYzz05lZy9pz6sdqEzB78+uapjOmf6lF0IiIi4pWe3RP43pXj+cTMITywYDOvrj8E+Epgzl26m6eX7+POs4Zyz6yhSu49oKReADhRXMGzOfv517K9p8zMA6QmxfH5OSO5Z9Yw4jU7LyIi0qUNTU/mz7dns3z3cX7x6ubAJGBpZTV/WbyDf767i6umZHLPrKFMyNR9azqLkvouzDnHyr35PPnBHuatO0hFVc0pr8fHGnecOZTPzxlJr+QEj6IUERGRcDR9aG+e/cyZLNpyhAdf28LGg4UAVFTX8NzK/Ty3cj8zh/fmrrOGccG4DE0MdjAl9V1QUVklL60+wBMf7GHzoaKPvJ6aFMcN07K45+xhDA66dbSIiIhIMDNjztgMzhvdlwUbDvH3d3ayam9+4PUPdh7ng53HSU9J5Ibsgdx8+iBG9E1p/A2lzZTUdwFFZZWs3V/A+zuO8cHOY6zZnx/Y4BJsclYat50xmKumZNI9QZeGiIiItExMjHH5pAFcPmkAK/ee4J/v7uLV9YcCZbCPniznr4t38tfFO5k+tBfXTB3IBeMyGJDWzePIo4cytyhzvLiCbYeLWJdbwPrcAtbmFrDraDGN3SMiKT6Ga6YM5LaZg5mc1bNTYxUREZHoM21wL6Z9vBcH8kt54oM9PJuzn7yi8sDry3efYPnuE3z3RRg/oAcXjMtgztgMJg9MU2W9djDdEaxpZpYzbdq0aTk5OZ02pnOOkopqKqtrqKiuobLaUVnlOy6tqCa/tJL8kgoKSis5XFjGoYJy9h4vZnveSU6UVLZojHEDenDL6VlcNy3rlLqzIiIiIqFUVV3Doi1HeHrFPhZuzgvM3teXnBDLaYN7kT2kF9OH9mbq4J6kdLG71WdnZ7Ny5cqVzrns1p7btf5LRYjCsiqm/Oj1kL1fbIwxKiOF6UN7c+aIPswY1pv0lMSQvb+IiIhIY+JiY7hwfD8uHN+PvKIy5q89yMLNeXyw89gpy4GLK6p5d/tR3t1+NPDcwJ7dGJGRwoi+yYzMSGFE3xSGpyfTJyVRd7OvR0l9GEpox0dP3eJjGZGRzJh+PZiclcakrDTGD+hBUnxsCCMUERERab2M1CTuPnsYd589jJPlVby77QhvbcrjnW1HOVRY9pH+ufml5OaXsmTrkVOej40x+qYk0q9HIhk9kkhPSaBHt3jSusXTs1sCaf7jpHhfTmVmJMbFkBQfQ2JcLPGxMcTEQIwZsWbExBixMUaM+Z+LqXs+UiipD0PxsUb3BN8FFx8bQ0KsER/nO06Mi6Fnd/8F2z2evimJDEhLItP/l+yAHkkRdQGKiIhI15SSGMelEwdw6cQBOOfIzS8lZ88JVuw+wfLdx9mWd7LRpTrVNY5DhWX+PwQKOiS+C8dl8I87p3fIe3cEJfVhKC42ho0/vtTrMEREREQ6hZmR1as7Wb26c83UgQBUVNUE9gzuOOJ73J53kv0nSlq8h7C9MUUSJfUiIiIiEnYS4mIYmZHKyIzUj7xWVlnNkaJy8op8BUOOl1RQWFpJQWklBSWV5Jf6CorUrtmvrnGUV9VQXlVNeWUNldU11DiocY7qGkdNjfMdO0dNDVQ7R1yErXxQUi8iIiIiESUpPpZBvbszqLdukllLxUBFRERERCKcknoRERERkQinpF5EREREJMIpqRcRERERiXBK6kVEREREIpySehERERGRCKekXkREREQkwimpFxERERGJcErqRUREREQinJJ6EREREZEIp6ReRERERCTCKakXEREREYlwSupFRERERCJcyJN6M8syswfMbKOZnTSzfDNbZWbfN7NeIRxnhpnNNbNdZlZmZnlm9raZfdLMYkM1joiIiIhIuIsL5ZuZ2aXAU0DPei9N9X99ysyucc7ltHOcbwM/4dQ/SvoCs/1fd5vZlc65E+0ZR0REREQkEoRspt7MJgPP4kvoS4AfALPwJdkPAdXAQGCemWW2Y5x7gJ/hi30P8GlgBnAl8F9/t7OAF8xMy4tEREREJOqFcqb+N0AyvuT9MufckqDXFpvZSuBxoD/wU+Ce1g5gZj2BX/qbucAZzrnDQV3mm9nfgU8C5wG3A4+1dhwRERERkUgSkplsM8sG5vibc+sl9AA4554AFvqbd5hZRhuGuheoXZf/rXoJfa2vAAX+42+0YQwRERERkYgSquUp1wcdP9xEv3/6H2OBq9sxThHwTEMdnHMng16baGYj2zCOiIiIiEjECFVSP8v/WAIsb6Lf2w2c0yJmFo9v7TzAB8658o4YR0REREQk0oQqqR/vf9zmnKtqrJNz7gC+Wfbgc1pqNHV7ADY203dzA7GJiIiIiESldm+UNbNEIN3f3N+CU/bhS7QHtXKorKDj5sbZF3TconHMrLEym2Nbcr6IiIiIiFdCMVOfGnR8sgX9a/ukdOA4wa+3dhwRERERkYgSipKW3YKOK1rQv3YtfLcme7VvnOD19i0axzmX3dDz/hn8aS15DxERERERL4Ripr406DihBf0TGzgv1OMkBh23dhwRERERkYgSiqS+KOi4JUtdavu0ZKlOW8cJfr2144iIiIiIRJR2J/X+0pJH/c2spvrW67OvyV4fFbw5trlxgjfHtnYcEREREZGIEqqSlrUlJkeZWaPr9M0sE+hR75yW2grUlstsrkxlcMWa1o4jIiIiIhJRQpXUv+t/7A5Mb6Lf7AbOaRHnXCWwzN+caWZNratv8zgiIiIiIpEmVEn980HH9zbR7x7/YzXwcjvGSQVubqiDmaUEvbbeObe9DeOIiIiIiESMkCT1zrkcYJG/eZeZnVO/j5ndBlzgbz7mnMur9/pQM3P+r0X1z/d7GDjhP/65mWU00OfXQJr/+MGWfxciIiIiIpEpVDP1AF8CioFYYIGZfc/MzjKzc83sV8Cj/n6HgO+2ZQDnXD7wDX8zC/jQzO4zs+lmdrmZvQTc5399MfBEG78XEREREZGIEYqbTwHgnFtrZjcCTwE9gR/7v4LlAtc45w60Y5yHzay//72HAn9roNtS4HrnXE1bxxERERERiRShnKnHObcAmIRv2csmfDP3hcAa4IfAJP9SnfaO8zPgTOAxYA++O8gexTc7fx9wrnPueHvHERERERGJBCGbqa/lnNsPfNP/1ZrzdgPWiv7LqKuGIyIiIiLSZYV0pl5ERERERDqfknoRERERkQinpF5EREREJMIpqRcRERERiXBK6kVEREREIpySehERERGRCGfOOa9jCGtmdqxbt269x40b53UoIiIiIhLFNm3aRGlp6XHnXJ/WnqukvhlmtgvoAez2OJSuYKz/cbOnUUhXoetNOpuuOelsuuYiz1Cg0Dk3rLUnKqmXsGFmOQDOuWyvY5Hop+tNOpuuOelsuua6Fq2pFxERERGJcErqRUREREQinJJ6EREREZEIp6ReRERERCTCKakXEREREYlwqn4jIiIiIhLhNFMvIiIiIhLhlNSLiIiIiEQ4JfUiIiIiIhFOSb2IiIiISIRTUi8iIiIiEuGU1IuIiIiIRDgl9SIiIiIiEU5JvXQaM4sxs/FmdpeZ/cnMlptZuZk5/9fsDhgzycy+YmYfmNkxMysxs21m9kczGxvq8SR8mdlNZvaKmR3wX3f7zOwZM7soRO+/KOhabu5raCjGlM5nZllm9oCZbTSzk2aWb2arzOz7ZtYrhOPMMLO5ZrbLzMrMLM/M3jazT5pZbKjGkfDXkdecmc1uxc+tuSH6lqSD6OZT0mnM7E5gbhNd5jjnFoVwvGHAfGBcI13KgPudc03FJBHOzBKBp4Frmuj2Z+Bzrh0/EM1sEXBeC7sPc87tbutY4g0zuxR4CujZSJdc4BrnXE47x/k28BMan3hbClzpnDvRnnEk/HX0NeefTHu7hd0fdc7d1ZZxpHPEeR2AdCkWdFwJrAPigUkhH8gshVMT+rnAk8BJ4Czg20Af4B9mdsA593qoY5Cw8Q/qEvp3gYeAvcBY4Jv4rr/7gaPA90Mw3grg7mb65IZgHOlEZjYZeBZIBkqAB4C38P0evQb4IjAQmGdm2c65A20c5x7gZ/7mHuB/gVVABvBp4Cp8P8NeMLPznXM1bf6mJKx11jUX5B5geROv64/IMKeZeuk0ZjYDOAPfD43VzrkyM/sh8AN/l5DN1JvZD4Af+pvfdc79rN7rY/ElX8nAVmCCc64qFGNL+DCzc4HF/uarwNXB/87+P/7eBabg+0NznHNuRxvHWoRvpn6xc252O8KWMGRmC4E5QDVwvnNuSb3Xbwce9zcfcc7d04YxegI7gV74/vDLds4drtfn78An/c07nXOPtXYciQyddM3Npm6mPqSflkvn05p66TTOuWXOud875z5wzpV11DhmFg98yd/cCvy8gVg245v1ABhN00szJHJ9w/9YjW+p1Sl/uDnnTgJf8DfjgS93XmgSKcwsG19yBTC3fnIF4Jx7Aljob95hZhltGOpefAk9wLfqJ/R+XwEK/MffaOB1iQKdeM1JFFFSL9FoNnW/GOc28fH0P4OOr+vQiKTT+WfhazfBvuWc29NQP+fcO8A2f/NaM7OG+kmXdn3Q8cNN9Kv9mRILXN2OcYqAZxrq4P9DtPa1iWY2sg3jSPjrrGtOooiSeolGs4KOFzfWyTmXS10yN6uxfhKxpgOJ/uNGrwO/Rf7HLGBIRwUkEav250MJTa85Dt5w2KqfKf5PGGf4mx8458o7YhyJGB1+zUn0UVIv0Wh80PHGZvpu9j8ONrPkDopHvNGW66D+eW0x1l9CNd9fOjPXzOab2afNLKmd7y3eqL0mtjW198a/UbGo3jktNZq64hWdeb1KeOqMa66+n5nZbv/PrRNmttbM/mBmIS9mIR1DSb1Eoyz/Y7FzLr+Zvvv8jxZ0nkSH4H/P/c303Rd0PKid4/bDtyE8DUgAMoHLgb8Am81sejvfXzqRvyRqur/Z3HUEdddSa68jr65XCTOdeM3Vdxa+TyoT8JXQnAR8DlhrZr/1f5okYUwlLSUapfofT7agb3CflA6IRbyTGnTc3LUQiuugBt+mtVeB1cAxoBu+yjr3Atn4fmG+ZWZnO+fWtXEc6VytuY6C+7T2Ours61XCV2ddc7UOAc/jqwS2E18lsEzgEnxlLrvjK5+ZBtzVxjGkEyipl2jUzf9Y0YK+wetWuzXaSyJR8L9nc9dCKK6D6xv5ZGipmf0F+AW+uvip+Da+zWigr4Sf1lxHUHcttfY66uzrVcJXZ11z4FuvP9g5V1nv+ZX46t//AXgT3ydJd5rZM865+W0YRzqBlt/IKcwsqRW3jG7q64cefhul/seEFvRNDDoubbSXdJgOvOaC/z2buxbafR00tdTL+fwPdZvappvZmW0ZRzpda64jqLuWWnsdder1KmGts645nHPFDST0wa9vAW4PeuqLrR1DOo+SeolGtZuGWvJRZHCflnzMKZGjKOi4uWuhs66DvwQdz+7AcSR0WnMdBfdp7XUUjtereKOzrrkWcc4tBjb5m+eamXLHMKXlN1JfOTAuBO9zNATv0Va1G4uSzaxnM5tlazcWOVq2IUlCr6OuueB/zyx8dxBuTPAGs32N9mq/DUHH2pgdAZxz5WZ2FN/GxZb8m9X2ae11VP96bUpnXa/igU685lpjA76f00lAH+BIB44lbaSkXk7hnHOcWi4tEgWXgxsPLG2i71j/417nXHHHhSSN6cBrrv518GITfccGHTdXTrA9XAe+t3ScjcC5wCgzi2usxKCZZQI9gs5pja1AFb7fy82VJuys61W80xnXXGvoZ1cE0EcoEo3eDTo+r7FOZjYQGNXAORIdllO3gazR68Bvtv9xP9DgnWdDZELQ8YEOHEdCq/bnQ3d8NzVrzOwGzmkR/7rmZf7mTDNrai11m8eRiNHh11wr1f7sKsdX2UvCkJJ6iUaLgBP+47uaWP93d9DxCx0akXQ659xJ4A1/8wIza/BOsWY2i7o/7l70f3LQUT4TdNzcXW4lfDwfdHxvE/3u8T9WAy+3Y5xU4OaGOphZStBr651z29swjoS/zrrmmmVm51D36dG7zrmajhhH2k9JvUQcM5sbVPFkdv3X/TNev/U3RwPfauA9xgD/429uBV7qmGjFY7/0P8YCfzazU5Yc+u8i/Ht/sxL4TUNv0tw1Z2ZzzKxXY0GYzy+A8/1PrQbea/m3IV5yzuXgmywA30TBOfX7mNltwAX+5mPOubx6rw8NuoYW1T/f72HqJiR+bmYZDfT5Nb564QAPtvy7kEjSGdecmfUyszlNxeH/Xflk0FN/bPl3IZ1Na+qlU5nZXfWemhp0fKmZDQ1qH3LOLWjjUL8CbsG3sednZjYS3w+mk8CZwHfxVQyoBr7Q1G24JXI55xab2RP4SrJdBiw0s4fwbSir/cOu9hbov3DO7WjjUHcC/zWzefjKVm4GCvB9dB588ymAYuCTHfyJgITel/Dtz0kGFvj/SHsL3+/Ra/yvg+9GPt9tywDOuXwz+wbwD3ybHz80s//F90dgX+DTwNX+7ouBJ9r0nUik6OhrLg3fz8T1+PYc5eBbFlgJDOTUm08B/Ns5p0+1w5jp94p0JjNrzQW32Dk3u4H3mIsviQKY45xb1MhYw4D5NF5ZpQy43zk3txUxSYTx33L9aXy/BBvzZ+BzjSXazV1z9V5vyi7g4865D1rQV8KMmV0KPAX0bKRLLnCNf5a1/rlD8f37QyM/24L6fgf4MY1/mr4UuMo5d7xFgUvE6shrrt7rTXHAH4CvO+dacjMs8Yhm6iVqOed2mVk2cD++Naij8d1xLxd4Hfidcy7SK/1IM5xz5cC1ZnYTvlmnqUBvfCXZPgD+6px7o/F3aJEH8M2mzsS3oSzdP0alf5yV+JZ4Pe2PRyKQc26BmU3CdwOeK4HB+D7t24VvX87vnHMnmniLlo7zMzN7A/gcvk3e/fHVLt+Ab3b+EedcdXvHkfDXwdfcAeAmfD+3puP7dCgd3+/JQmA7vs23DzvnNjX2JhI+NFMvIiIiIhLhtFFWRERERCTCKakXEREREYlwSupFRERERCKcknoRERERkQinpF5EREREJMIpqRcRERERiXBK6kVEREREIpySehERERGRCKekXkREREQkwimpFxERERGJcErqRUREREQinJJ6EREREZEIp6ReRERERCTCKakXEREREYlwSupFRERERCKcknoRERERkQinpF5EREREJMIpqRcRERERiXBK6kVEREREItz/B5xKwEWO1zafAAAAAElFTkSuQmCC", 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" ] }, "metadata": { "image/png": { "height": 252, "width": 378 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_kde(trace_13_4.posterior[\"alpha\"].values[0][:, 4])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.34" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "post = trace_13_4.posterior\n" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "def p_link(treatment, actor=0, block_id=0):\n", " a, g, b = post[\"alpha\"].values[0], post[\"gamma\"].values[0], post[\"beta\"].values[0]\n", " logodds = a[:, actor] + g[:, block_id] + b[:, treatment]\n", " return tf.sigmoid(logodds)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.35" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "p_raw = list(map(lambda i: p_link(i, actor=1, block_id=0), np.arange(4)))\n", "p_mu = np.mean(p_raw, 0)\n", "p_ci = np.percentile(p_raw, (5.5, 94.5), 0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 13.5.2 Posterior prediction for new clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.36" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "def p_link_abar(treatment):\n", " logodds = post[\"a_bar\"].values[0] + post[\"beta\"].values[0][:, treatment]\n", " return tf.sigmoid(logodds)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.37" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 265, "width": 385 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p_raw = list(map(p_link_abar, np.arange(4)))\n", "p_mu = np.mean(p_raw, 1)\n", "p_ci = np.percentile(p_raw, (5.5, 94.5), 1)\n", "\n", "plt.subplot(\n", " xlabel=\"treatment\", ylabel=\"proportion pulled left\", ylim=(0, 1), xlim=(0.9, 4.1)\n", ")\n", "plt.gca().set(xticks=range(1, 5), xticklabels=[\"R/N\", \"L/N\", \"R/P\", \"L/P\"])\n", "plt.plot(range(1, 5), p_mu)\n", "plt.fill_between(range(1, 5), p_ci[0], p_ci[1], color=\"k\", alpha=0.2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.38" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "a_sim = tfd.Normal(\n", " loc=post[\"a_bar\"].values[0], scale=post[\"sigma_a\"].values[0]\n", ").sample()\n", "\n", "\n", "def p_link_asim(treatment):\n", " logodds = a_sim + post[\"beta\"].values[0][:, treatment]\n", " return tf.sigmoid(logodds)\n", "\n", "\n", "p_raw_asim = np.array(list(map(p_link_asim, np.arange(4))))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 13.39" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 265, "width": 385 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.subplot(\n", " xlabel=\"treatment\", ylabel=\"proportion pulled left\", ylim=(0, 1), xlim=(0.9, 4.1)\n", ")\n", "plt.gca().set(xticks=range(1, 5), xticklabels=[\"R/N\", \"L/N\", \"R/P\", \"L/P\"])\n", "for i in range(100):\n", " plt.plot(range(1, 5), p_raw_asim[:, i], color=\"k\", alpha=0.25)\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.12" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }