{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "absksbh717w", "metadata": {}, "outputs": [], "source": [ "import os\n", "os.environ[\"CUDA_DEVICE_ORDER\"] = \"PCI_BUS_ID\"\n", "os.environ[\"CUDA_VISIBLE_DEVICES\"] = \"\"\n", "os.environ[\"XLA_PYTHON_CLIENT_PREALLOCATE\"] = \"false\"\n", "os.environ[\"XLA_PYTHON_CLIENT_ALLOCATOR\"] = \"platform\"\n", "\n", "import jax\n", "jax.config.update('jax_default_device', 'cpu')\n", "jax.config.update('jax_default_matmul_precision', 'highest')" ] }, { "cell_type": "markdown", "id": "9klkg5i0xmi", "metadata": {}, "source": [ "# Testing Observation Masking\n", "\n", "This notebook tests that the observation masking feature works correctly for both Factor Analysis (FA, static mode) and Dynamic Factor Analysis (DFA) across all training methods: EM, VBEM, and Blocked Gibbs.\n", "\n", "**Key tests:**\n", "- FA: mask=None vs mask=all-True produce identical results; masked training matches subset training\n", "- DFA: random masking and partial time-varying masking with all methods\n", "- All tests use full settings: ARD priors, PX, and BMR" ] }, { "cell_type": "code", "execution_count": 2, "id": "1alpt26qvtx", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "ERROR:2026-03-16 17:53:22,702:jax._src.xla_bridge:473: Jax plugin configuration error: Exception when calling jax_plugins.xla_cuda12.initialize()\n", "Traceback (most recent call last):\n", " File \"/home/dima/.conda/envs/sppcax/lib/python3.13/site-packages/jax/_src/xla_bridge.py\", line 471, in discover_pjrt_plugins\n", " plugin_module.initialize()\n", " ~~~~~~~~~~~~~~~~~~~~~~~~^^\n", " File \"/home/dima/.conda/envs/sppcax/lib/python3.13/site-packages/jax_plugins/xla_cuda12/__init__.py\", line 328, in initialize\n", " _check_cuda_versions(raise_on_first_error=True)\n", " ~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^\n", " File \"/home/dima/.conda/envs/sppcax/lib/python3.13/site-packages/jax_plugins/xla_cuda12/__init__.py\", line 285, in _check_cuda_versions\n", " local_device_count = cuda_versions.cuda_device_count()\n", "RuntimeError: jaxlib/cuda/versions_helpers.cc:113: operation cuInit(0) failed: CUDA_ERROR_NO_DEVICE\n", "WARNING:2026-03-16 17:53:22,710:jax._src.xla_bridge:850: An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" ] } ], "source": [ "import jax.numpy as jnp\n", "import jax.random as jr\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "from sppcax.models import BayesianDynamicFactorAnalysis as BDFA, BayesianFactorAnalysis as BFA" ] }, { "cell_type": "markdown", "id": "gge6kjeclp", "metadata": {}, "source": [ "# Part 1: Factor Analysis (Static Mode)\n", "\n", "Generate synthetic FA data: N samples, D dimensions, K factors." ] }, { "cell_type": "code", "execution_count": 3, "id": "ft095v5d1qf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FA data shape: (200, 10)\n", "Mask shape: (200, 10), fraction observed: 0.70\n" ] } ], "source": [ "key = jr.PRNGKey(0)\n", "K = 3 # latent factors\n", "D = 10 # observation dimensions\n", "N = 200 # number of samples\n", "\n", "# True parameters\n", "key, *subkeys = jr.split(key, 4)\n", "C_true = jr.normal(subkeys[0], (D, K))\n", "R_true_diag = jr.uniform(subkeys[1], (D,), minval=0.3, maxval=1.0)\n", "\n", "# Generate data: y = C @ z + noise\n", "key, subkey = jr.split(key)\n", "z_true = jr.normal(subkey, (N, K))\n", "key, subkey = jr.split(key)\n", "Y_fa = z_true @ C_true.T + jr.normal(subkey, (N, D)) * jnp.sqrt(R_true_diag)\n", "\n", "print(f\"FA data shape: {Y_fa.shape}\")\n", "\n", "# Create a random mask: 30% missing\n", "key, subkey = jr.split(key)\n", "mask_fa = jr.bernoulli(subkey, p=0.7, shape=(N, D))\n", "print(f\"Mask shape: {mask_fa.shape}, fraction observed: {mask_fa.mean():.2f}\")" ] }, { "cell_type": "markdown", "id": "5inun3z7vlc", "metadata": {}, "source": [ "## 1.1 Regression test: mask=None vs mask=all-True\n", "\n", "These should produce identical results." ] }, { "cell_type": "code", "execution_count": 4, "id": "pple0q0revd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EM regression test:\n", " ELBO diff (last): 0.002441\n", " Max ELBO diff: 0.076416\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_iters = 20\n", "\n", "# FA model with full settings: ARD, PX, BMR\n", "\n", "# --- EM ---\n", "fa_model = BFA(K, D)\n", "key, subkey = jr.split(key)\n", "init_params_em, props_em = fa_model.initialize(subkey, variational_bayes=False)\n", "\n", "key, subkey = jr.split(key)\n", "params_no_mask, elbos_no_mask = fa_model.fit_em(\n", " init_params_em, props_em, Y_fa, subkey, num_iters=num_iters\n", ")\n", "\n", "fa_model = BFA(K, D)\n", "params_all_mask, elbos_all_mask = fa_model.fit_em(\n", " init_params_em, props_em, Y_fa, subkey, mask=jnp.ones((N, D), dtype=bool), num_iters=num_iters\n", ")\n", "\n", "print(\"EM regression test:\")\n", "print(f\" ELBO diff (last): {abs(elbos_no_mask[-1] - elbos_all_mask[-1]):.6f}\")\n", "print(f\" Max ELBO diff: {jnp.max(jnp.abs(elbos_no_mask - elbos_all_mask)):.6f}\")\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n", "ax.plot(elbos_no_mask, label=\"no mask\")\n", "ax.plot(elbos_all_mask, '--', label=\"all-True mask\")\n", "ax.set_title(\"EM: mask=None vs mask=all-True\")\n", "ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 5, "id": "2iga3imbaiq", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VBEM regression test:\n", " ELBO diff (last): 0.000488\n", " Max ELBO diff: 0.239746\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- VBEM ---\n", "key, subkey = jr.split(key)\n", "init_params_vb, props_vb = fa_model.initialize(subkey, variational_bayes=True)\n", "\n", "\n", "fa_model = BFA(K, D)\n", "key, subkey = jr.split(key)\n", "params_vb_no_mask, elbos_vb_no_mask = fa_model.fit_vbem(\n", " init_params_vb, props_vb, Y_fa, subkey, num_iters=num_iters\n", ")\n", "\n", "fa_model = BFA(K, D)\n", "params_vb_all_mask, elbos_vb_all_mask = fa_model.fit_vbem(\n", " init_params_vb, props_vb, Y_fa, subkey, mask=jnp.ones((N, D), dtype=bool), num_iters=num_iters\n", ")\n", "\n", "print(\"VBEM regression test:\")\n", "print(f\" ELBO diff (last): {abs(elbos_vb_no_mask[-1] - elbos_vb_all_mask[-1]):.6f}\")\n", "print(f\" Max ELBO diff: {jnp.max(jnp.abs(elbos_vb_no_mask - elbos_vb_all_mask)):.6f}\")\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n", "ax.plot(elbos_vb_no_mask, label=\"no mask\")\n", "ax.plot(elbos_vb_all_mask, '--', label=\"all-True mask\")\n", "ax.set_title(\"VBEM: mask=None vs mask=all-True\")\n", "ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 6, "id": "yj5tn68di1o", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gibbs regression test:\n", " ELBO diff (last): 0.006836\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- Gibbs ---\n", "key, subkey = jr.split(key)\n", "init_params_gibbs, props_gibbs = fa_model.initialize(subkey)\n", "\n", "key, subkey = jr.split(key)\n", "fa_model = BFA(K, D)\n", "params_gibbs_no_mask, elbos_gibbs_no_mask = fa_model.fit_blocked_gibbs(\n", " subkey, init_params_gibbs, props_gibbs, sample_size=50, emissions=Y_fa\n", ")\n", "\n", "\n", "fa_model = BFA(K, D)\n", "params_gibbs_all_mask, elbos_gibbs_all_mask = fa_model.fit_blocked_gibbs(\n", " subkey, init_params_gibbs, props_gibbs, sample_size=50, emissions=Y_fa,\n", " mask=jnp.ones((N, D), dtype=bool)\n", ")\n", "\n", "print(\"Gibbs regression test:\")\n", "print(f\" ELBO diff (last): {abs(elbos_gibbs_no_mask[-1] - elbos_gibbs_all_mask[-1]):.6f}\")\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n", "ax.plot(elbos_gibbs_no_mask[1:], label=\"no mask\")\n", "ax.plot(elbos_gibbs_all_mask[1:], '--', label=\"all-True mask\")\n", "ax.set_title(\"Gibbs: mask=None vs mask=all-True\")\n", "ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "egk2dx8ycwc", "metadata": {}, "source": [ "## 1.2 FA: Masked training vs subset training\n", "\n", "For FA (static mode), masking certain dimensions for certain samples should give similar results to training only on the observed entries. We compare by masking a subset of dimensions and training with the mask vs training on only the fully-observed subset." ] }, { "cell_type": "code", "execution_count": 7, "id": "0adp52o9e62q", "metadata": {}, "outputs": [ { "data": { "image/png": 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cc8Jzzz0nPu/bt6/QtGlTg/E5ODgIo0ePNlhm2LBhgpeXl/h806ZNAgDhk08+0SrXv39/QSKRCCkpKeI6AIJcLtda9++//+p8b3jc7NmzBZlMJmRnZwuCIAjz588XvLy8hPbt2wsffPCBIAiCoFKphJo1awrjx48X93v++eeF5s2ba10btVotBAUFCfXr1xfXad6zNe8PSqVScHR0FNq1a6d1rVesWCEA0Lq2mn0bN24sKJVKcf1XX30lABBOnjwpruvZs6fW9dMw5vXRZdmyZQIAYe7cucW2ad5zSvsaKRQK4cKFC+K6xYsXCwAENzc38foLwsP78dGyzz33nABAmDNnjrhOqVSKnyny8/MFQSj6LPLotRIEQbh9+7bg6uqq9T6r+V2wt7cXrl+/rlVes2358uXi/gCE2bNn671e169fF+RyudC9e3et9+ivv/5aACAsW7as2LmsWrVK61zc3NyEl156Se8xBEEQCgoKBIlEIkyYMKHYNs3fgcOHD2utf/x3y9C5G3O/zJ49u9jrUxoTJkwQAAinTp0qsWxCQoIAQHj77be11g8ZMqTY52vN+T8al+bz3L59+8R1f//9twBAsLa2FlJTU8X1mvtR87tqzOv+KLlcLrz11ltGlaXKgd27iKqQhQsXIj4+Xmv566+/dJatVasWwsLC8OOPPwIoap4aFBQELy8vneU7d+4MQRCMbuVjZWVVLJb4+Hh8/vnnT3Ruffv2Fev49ddfMXnyZMTFxWHIkCFi0+ucnBwAQI0aNfTWo9mWnZ2tt8zx48dx4cIFjBs3rlh/ck3/5mvXriEhIQERERGoXbu2uL1Fixbo1q0b/vzzz2L1vvnmm1rPO3bsiJs3b4qxNGjQAK1atcK6devEMiqVCj///DN69+4tjsOzfv16ODg4oFu3brhx44a4BAQEwM7OrlhrHR8fH4SGhmqti4uLQ506ddCnTx9xnZWVFSIjI7XKJSQk4OzZsxgyZAhu3rwpHis3NxfPP/88/vnnn2LfJJZ0nps2bYJarcbUqVPFb6Aev77x8fG4c+cOBg8erHWOMpkMgYGBOlskEVHVYez72YABA+Dg4CA+DwwMBAC8+uqrYitQzfr8/HykpaXpPWbNmjVx5coVHD582GCZgwcP4urVq0afy59//gmZTIZ3331Xa/2ECRMgCEKx8woJCdFq2dCiRQvY29vj/PnzBo/TsWNHqFQq7Nu3D0BRa5SOHTuiY8eO2L17NwAgMTERd+7cQceOHQEAt27dwvbt2zFw4EDk5OSIf2tv3ryJ0NBQnD17Vu81O3LkCG7evInIyEita/3KK6+gVq1aOvcZPny41lgrmjhKOjfAuNdHlw0bNsDJyQnvvPNOsW2a95zSvkbPP/+8VusIzX330ksvaX0G0ax//PwsLCwwatQo8blcLseoUaNw/fp1HD16FEDRuC6aa6VWq3Hr1i0UFhaibdu2Wt0JNV566aUSW6lYW1tDLpdj586dxbqDa2zduhX5+fkYN26c1nt0ZGQk7O3tsXnzZq3ydnZ2WmMuyuVytG/fvsTX9NatWxAEQe+9Uhq6zv1J7xdjqdVqrF27Fq1bt0bjxo1LLK/5XPj4PVaaAcubNGmCDh06iM8191fXrl1Rr169Yus1r4Exr/ujatWqZVbDOdDTY/cuoiqkffv2pRr4csiQIXjttddw6dIlbNq0yeg+2MaQyWRaMy48rbp162rV16dPHzg6OmLixIn4448/0Lt3b/GDlib5o4sxiSFNH39dYxtppKamAgAaNmxYbFvjxo3x999/Izc3V2uWsEffkAGIH3Ru374tdnkbNGgQ/ve//yEtLQ116tTBzp07cf36dQwaNEjc7+zZs8jKyoKLi4vO2DQDIGromgEnNTUVfn5+xQbpe3xmnLNnzwKA2L9el6ysLK0PbSWd57lz5yCVStGkSRO9dWqO27VrV53bn6SLIBFVHsa+nz3+90aTAPL09NS53tA/PB988AG2bt2K9u3bw9/fH927d8eQIUMQHBwslvniiy8wbNgweHp6IiAgAC+88AKGDh0KX19fvfWmpqbCw8Oj2PuO5h9FzfuJvnMCiv6OlvTPWps2bWBjY4Pdu3cjNDQUu3fvxowZM+Dm5oYFCxYgLy9PTP48++yzAIq6iwiCgI8++ggfffSRznqvX7+OOnXq6DwvoPj7hoWFhd7ut4beH0pizOujy7lz59CwYUOtxNTjnvY1Ku195+HhUWwW0QYNGgAoGqfmmWeeAQCsXLkSc+bMQVJSEgoKCsSyut7Xda17nEKhwKxZszBhwgS4urrimWeeQa9evTB06FCxW7m+zzdyuRy+vr7FrkXdunWLfZaoVasWTpw4UWI8AIqNmfQkdJ37k94vxtq1axfS0tIwfvx4o8qnpqZCKpUW66qm63OkPk963xnzuj9KEAQO4lzFMOlDVI316dMHCoUCw4YNg1KpLDZ7grl7/vnnAQD//PMPevfuLX44O3HiRLG+7hqaDyGGEg7lRd9MDI9+4Bk0aBAmT56M9evXY9y4cfjpp5/g4OCAsLAwsYxarYaLiwtWr16ts77Hv+16mpm6NK14Zs+erfeaasZb0DDmPI097vfff6/zA4mhD+9EVH3o+3vzJH+HGjdujOTkZPzxxx+Ii4vDhg0b8M0332Dq1KmYMWMGgKIxyzp27IhffvkFW7ZswezZszFr1ixs3LixxPFLjPWkf0MtLS0RGBiIf/75BykpKUhPT0fHjh3h6uqKgoICHDx4ELt370ajRo3E9wnN39qJEycWaxGq8XhS52k8zfuDMa9PRSnL+06fH374AREREQgPD8d7770HFxcXyGQyREdHaw1ArWHse/24cePQu3dvbNq0CX///Tc++ugjREdHY/v27U80hsuTnnPt2rUhkUiMSviVRNe5l/f9snr1akilUgwePPip6zLW09x3pXnd79y5I45xRFUDu3cRVWPW1tYIDw/Hzp070a1bt0r3B76wsBAAxBlIevToAZlMhu+//17vPqtWrYKFhYVWEuVxmm9hEhMT9ZbRdINLTk4uti0pKQlOTk7FvsUzho+PD9q3b49169ahsLAQGzduRHh4OBQKhVZ8N2/eRHBwMEJCQootLVu2LPE4Xl5eOHfuXLEPZY/OoqI5FlDUskbXsUJCQko9PbGfnx/UarU4u4a+MgDg4uKi85i6ZoUhInpatra2GDRoEJYvX45Lly6hZ8+e+PTTT7UmOHB3d8fbb7+NTZs24cKFC3B0dMSnn36qt04vLy9cvXq1WCvUpKQkcXtZ6dixIw4dOoStW7fCyckJjRo1Qu3atdG0aVPs3r0bu3fvRqdOncTymhZKlpaWev/G62sZq4n78feNwsLCUs+A9ChDLQyMeX0e5+fnh+TkZK2WMo+ryNcIAK5evYrc3FytdWfOnAEAsZXUzz//DF9fX2zcuBGvvfYaQkNDERISYvBcjeXn54cJEyZgy5YtSExMRH5+PubMmQNA/+eb/Px8XLhwocyuhYWFBfz8/HDhwoUyqU+Xku6XJ23NolQqsWHDBnTu3BkeHh5G7ePl5QW1Wl0sYafrc2R5MfS6a6SlpSE/P9+oLmtUeTDpQ1TNTZw4EdOmTdPbrFvDHKds//333wFATHJ4enpi+PDh2Lp1K2JjY4uVX7RoEbZv346RI0fqnFVEo02bNvDx8cG8efOKTU+qSZK4u7ujVatWWLlypVaZxMREbNmyBS+88MITn9egQYNw4MABLFu2DDdu3NDq2gUUfdOsUqkwc+bMYvsWFhYWi1mX0NBQpKWlaU3Jm5eXh2+//VarXEBAAPz8/BATE6M1va9GZmamkWf1UHh4OKRSKT7++ONi4wFprm9oaCjs7e3x2Wef6fyg/iTHJSIy5ObNm1rP5XI5mjRpAkEQUFBQAJVKhaysLK0yLi4u8PDwgFKp1FvvCy+8AJVKha+//lpr/ZdffgmJRFJmLYSAoqSPUqnEvHnz8Oyzz4r/1Hbs2BHff/89rl69Ko6jo4m/c+fOWLx4Ma5du1asPkN/a9u2bQtHR0d8++234pcwQFELiKdpvWFra1vsOgMlvz76vPTSS7hx40ax6w88fM+pyNcIKHqvXrx4sfg8Pz8fixcvhrOzszh7kqb1xqNfzhw8eBD79+9/4uPeu3evWNLIz88PNWrUEO/hkJAQyOVyzJ8/X+vYS5cuRVZWVqlmmypJhw4dcOTIkTKr71HG3C+aL+eM+dz0qD///BN37tzBK6+8YvQ+mnto/vz5WuvnzZtXqmM/CWNedw3NmFLGTEFPlQfbxxNVIX/99Zf4rdSjgoKC9I430LJlS6NahpR2yvbCwkL88MMPOre9+OKLWq1gNmzYoDNuzbgJQNE3YJr67t27hwMHDmDlypXw9/fHa6+9Ju7z5ZdfIikpCW+//Tbi4uLEFj1///03fv31Vzz33HPFvtV4nFQqRWxsLHr37o1WrVph+PDhcHd3R1JSEv777z/8/fffAIq6PPXo0QMdOnTAyJEjxSnbHRwcjB7wWpeBAwdi4sSJmDhxImrXrl1sbKTnnnsOo0aNQnR0NBISEtC9e3dYWlri7NmzWL9+Pb766iv079/f4DFGjRqFr7/+GoMHD8bYsWPh7u6O1atXw8rKCsDDb7+kUim+++479OjRA02bNsXw4cNRp04dpKWlYceOHbC3txeTb8by9/fHlClTMHPmTHTs2BH9+vWDQqHA4cOH4eHhgejoaNjb2yM2NhavvfYa2rRpg5dffhnOzs64dOkSNm/ejODgYJ0f4ImoaniS97On1b17d7i5uSE4OBiurq44ffo0vv76a/Ts2RM1atTAnTt3ULduXfTv3x8tW7aEnZ0dtm7disOHDxt8X+nduze6dOmCKVOm4OLFi2jZsiW2bNmCX3/9FePGjStxOurS6NChAywsLJCcnIw33nhDXN+pUyfxy5BHkz5A0aDZzz77LJo3b47IyEj4+voiIyMD+/fvx5UrV/Dvv//qPJZcLsf06dPxzjvvoGvXrhg4cCAuXryIFStW6BwzzlgBAQFYt24doqKi0K5dO9jZ2aF3794lvj76DB06FKtWrUJUVBQOHTqEjh07Ijc3F1u3bsXbb7+Nvn37VuhrBBSN6TNr1ixcvHgRDRo0wLp165CQkIAlS5aIrWd79eqFjRs34sUXX0TPnj1x4cIFLFq0CE2aNNH5JYwxzpw5g+effx4DBw5EkyZNYGFhgV9++QUZGRl4+eWXARR1EZ88eTJmzJiBsLAw9OnTB8nJyfjmm2/Qrl07rUGbn1bfvn3x/fff48yZM+KYRmXFmPtFk2CbMmUKXn75ZVhaWqJ3794lttRevXo1FAoFXnrpJaPjadWqFQYPHoxvvvkGWVlZCAoKwrZt24q1lCsPxrzuGvHx8ahXrx6na69qKmyeMCIqN4amuMUjU3UKwsMp2w0pzynb8cgUlJo69S27d+8WY350kclkQt26dYU33nhDyMjIKHZ8pVIpfPnll0JAQIBga2sr2NjYCG3atBHmzZsnToVqjD179gjdunUTatSoIdja2gotWrQoNmXu1q1bheDgYMHa2lqwt7cXevfuXWzqTl3XUxB0T8mpERwcLAAQXn/9db3xLVmyRAgICBCsra2FGjVqCM2bNxfef/994erVq2IZLy8voWfPnjr3P3/+vNCzZ0/B2tpacHZ2FiZMmCBs2LBBACAcOHBAq+zx48eFfv36CY6OjoJCoRC8vLyEgQMHCtu2bXvi81y2bJnQunVrQaFQCLVq1RKee+45IT4+XqvMjh07hNDQUMHBwUGwsrIS/Pz8hIiICOHIkSN6rwsRVV7Gvp9ppmp+fApizfvK+vXrddb76BTQj0/ZvnjxYqFTp07i3zk/Pz/hvffeE7KysgRBKHpvee+994SWLVuK7wstW7YUvvnmG61jPT6ttCAIQk5OjjB+/HjBw8NDsLS0FOrXry/Mnj1bnDJcQ997tJeXlzBs2DBjLqHQrl07AYBw8OBBcd2VK1cEAIKnp6fOfc6dOycMHTpUcHNzEywtLYU6deoIvXr1En7++WexzONTtmtopoZXKBRC+/bthb179woBAQFCWFhYsX0ff10en1JcEATh7t27wpAhQ4SaNWsKAMRrWdLrY8i9e/eEKVOmCD4+PoKlpaXg5uYm9O/fXzh37pxY5mleo9Lcj88995zQtGlT4ciRI0KHDh0EKysrwcvLS/j666+19lWr1cJnn30mXtvWrVsLf/zxh95py3VNx/349b1x44YwevRooVGjRoKtra3g4OAgBAYGCj/99FOxfb/++muhUaNGgqWlpeDq6iq89dZbwu3bt7XKaM7lcbp+B3RRKpWCk5OTMHPmTK31pZ2yXde5G3u/zJw5U6hTp44glUqNmr49KytLsLKyEvr161fi+T3u/v37wrvvvis4OjoKtra2Qu/evYXLly8bPWW7rs9zxtyPxr7uKpVKcHd3Fz788MNSnxuZN4kglMGQ6UREVCXMmzcP48ePx5UrV3TO1kJERGSIWq2Gs7Mz+vXrV6zLMAGdO3fGjRs3DI4bWJ3MnDkTy5cvx9mzZ/UOSEwVY9OmTRgyZAjOnTsHd3d3U4dDZYhj+hARVVP379/Xep6Xl4fFixejfv36TPgQEVGJ8vLyik0IsGrVKty6dYsD7pNRxo8fj7t372Lt2rWmDqXamzVrFsaMGcOETxXEMX2IiKqpfv36oV69emjVqhWysrLwww8/ICkpSe9U8ERERI86cOAAxo8fjwEDBsDR0RHHjh3D0qVL0axZMwwYMMDU4VElYGdnh+vXr5s6DAKeapBwMm9M+hARVVOhoaH47rvvsHr1aqhUKjRp0gRr164tNlsYERGRLt7e3vD09MT8+fNx69Yt1K5dG0OHDsXnn38OuVxu6vCIiAgAx/QhIiIiIiIiIqqCOKYPEREREREREVEVxKQPEREREREREVEVxDF9HlCr1bh69Spq1KgBiURi6nCIiIioChIEATk5OfDw8IBUaprv3viZh4iIKqOKfg/Ny8tDfn5+ieXkcjmsrKzKPZ4nJpSTCxcuCCNGjBC8vb0FKysrwdfXV5g6daqgVCq1ygAotuzfv19nnT/++KMAQOjbt6/WerVaLXz00UeCm5ubYGVlJTz//PPCmTNnShXv5cuXdcbChQsXLly4cOFS1svly5dL/dmqrPAzDxcuXLhwqcxLRbyH3r9/X7CBzKh43NzchPv375d7TE+q3Fr6JCUlQa1WY/HixfD390diYiIiIyORm5uLmJgYrbJbt25F06ZNxeeOjo7F6rt48SImTpyIjh07Ftv2xRdfYP78+Vi5ciV8fHzw0UcfITQ0FKdOnTI641ajRg0AwOXLl2Fvb1+aUyUiIiIySnZ2Njw9PcXPHaagOfbKHcdgY2e6OMzZkNc/NnUIZm1v00xTh2DWrr/3jalDMGsFarWpQzBrAyKmmToEsyWoCqA69VOFvIfm5+fjHlQYijqQGxgVJx9qrEpPQ35+vtm29im3pE9YWBjCwsLE576+vkhOTkZsbGyxpI+joyPc3Nz01qVSqfDKK69gxowZ2L17N+7cuSNuEwQB8+bNw4cffoi+ffsCAFatWgVXV1ds2rQJL7/8slHxapo329vbM+lDRERE5cqU3ao0x7axq8Gkjx4SGacbN8RObmnqEMxargmTupVBgYpJH0P496dkFfkeai2RQS7Rn/SRCZKi9j5mrEI7k2dlZaF27drF1vfp0wcuLi549tln8dtvvxXb/vHHH8PFxQUjR44stu3ChQtIT09HSEiIuM7BwQGBgYHYv39/2Z4AEREREREREVULUgkgM7BIK8HQeBU2kHNKSgoWLFig1crHzs4Oc+bMQXBwMKRSKTZs2IDw8HBs2rQJffr0AQDs2bMHS5cuRUJCgs5609PTAQCurq5a611dXcVtuiiVSiiVSvF5dnb2k54aEREREREREVUxcqkEcgMtiwRBAph547VSt/SZNGkSJBKJwSUpKUlrn7S0NISFhWHAgAGIjIwU1zs5OSEqKgqBgYFo164dPv/8c7z66quYPXs2ACAnJwevvfYavv32Wzg5OT3lqWqLjo6Gg4ODuHh6epZp/URERERERERUeckkkhIXc1fqlj4TJkxARESEwTK+vr7i46tXr6JLly4ICgrCkiVLSqw/MDAQ8fHxAIBz587h4sWL6N27t7hd/WDgLwsLCyQnJ4tjAWVkZMDd3V0sl5GRgVatWuk9zuTJkxEVFSU+1wysSERERERERESk6cald3vFhfLESp30cXZ2hrOzs1Fl09LS0KVLFwQEBGD58uWQSktuWJSQkCAmbxo1aoSTJ09qbf/www+Rk5ODr776Cp6enrC0tISbmxu2bdsmJnmys7Nx8OBBvPXWW3qPo1AooFAojDoPIiIiIiIiIqpeSmrNI0MVbOljrLS0NHTu3BleXl6IiYlBZubDqR01rXNWrlwJuVyO1q1bAwA2btyIZcuW4bvvvgMAWFlZoVmzZlr11qxZEwC01o8bNw6ffPIJ6tevL07Z7uHhgfDw8PI6PSJ6UoIACOqiRa16+NiYRSwvPLbt8XpQ9BNCUVnNT6PXCY+tUxtYh0fWP3KOmvXic32PH9+/hH2KHQMlbDO0XlfMeuo0qj6dhYwoU9GMeHM2qqnu09ZjYNuTNhXWu9+THqs0++koq7NuSRmV0XNMY+s0VLbFQD3HIyIiourEQiKBpYHPSqrqnPSJj49HSkoKUlJSULduXa1twiP/KMycOROpqamwsLBAo0aNsG7dOvTv379Ux3r//feRm5uLN954A3fu3MGzzz6LuLg4WFlZlcm5EJmMIACqAkCVX7QUKh8+fvx5oWa9UvuxquCxcg/WqQuKkijqwkd+FhYlUB59Lm7XsU5QPVZG189C7aQMEZG5Y9KHiIiIUE27dxkrIiKixLF/hg0bhmHDhpWq3hUrVhRbJ5FI8PHHH+Pjjz8uVV1EZUJVCBTkAvkPFmXOw8f5d/X8fLzcg21aCZwHiZpqSg0J1JBAgARqQSo+V0FatA7SR8pIoXrwXIAEgiApauyjea712Jh1eHAMCfDYNvUj5fFgHQDxmHikDjxyDDzy3FAZ4ZEyMFCPpuzj9Za8rTR1lP6bC3Ns1/OoJ/0uRvIEZ2ZoH8NxGNqvdHXqK29s2dLsry9u3fXq9vQxlK4Offt3NLq0aS1cuBCzZ89Geno6WrZsiQULFqB9+/amDouIiKjKKEr6GOreZf4qbMp2IrOXlw1kpz1YrhYtuZn6EzSan4V5FRejRAbI5ICFvOinTPHI4weLhUJ8rJJaIh8WUAoWyBMskKeW4Z5ahvuFMuSppVCqpchXS6BUS6FUAUq1BHkqKe6rJMhTSZCnAu4XSnBfBeSpihIrhZBBDSkKIYUKMhQKD34+sr4QsodlBU1C5mGSRi0mbiTiNuGRbZpkizEspBJYyqSwkEkgl0khk0ogk0oglUgeeQxxnWa9VCop+iMuLZp1UGbkeqlE81gCqbTouUQCSFB0HMmDNwXNes06CR781KzDg/0ebHtYDyCVatdRtG/Rc63b4cG+eLBd8sj6x9fhsbLAwxiAh8fQrBdXPno8Xbfk4zHpLGP4udYxS6EiJ0t4kmTWkybAjOo1p/N4pd/xiY9lTO8/o+opuZTRIRoVkxHHM/fM5QPr1q1DVFQUFi1ahMDAQMybNw+hoaFITk6Gi4uLqcMjIiKqEkqasl0tVOPuXURmQxCAvDtFSZysx5I6jz7Oz3m640hkgMIOkNcA5LaPLHZFPxV2Dx+Ly2NlH0nYPPpYkFnibqEMd/LUuH0vH7dy83HnXgFu38vH7XsFuPPg5+3cfNzOebjtXr6qTC6h1mlKAGtLWdEif/jT5rHnmjI2chnkFlJYyjSLJklT9Fj+yGNNGQtx/YN1UiksLbQfW0iL9nk86UBEVB3MnTsXkZGRGD58OABg0aJF2Lx5M5YtW4ZJkyaZODoiIqKqQVpC966Sp6oyPSZ9qHITBODerUeSN2mPPX6Q0Cm4Z1x9VjUB+zqAvUfRYuf6IFnzeIJGRyJHJi9104NcZSFSb95D6s1cXEm7j5u5+Q8SOLliMudWbgGy7uejQPVkXz/LpBLUtLZELVs5atlYoqZN0U87hSWs5dIHSRqLBz+lsLa0EJM2NnIZrB5L6igspEy0EBGZUH5+Po4ePYrJkyeL66RSKUJCQrB//34TRkZERFS1cPYuoop04yxw+jcgM1m7xY5Kadz+No4PkjmPJHXEx3UBe/ei5E0Zu3MvHxcfJHZSb97DxZu5uHTzHi7evIcbd42M/QGFhRS1beVi4qaWjRw1bSyLrXs0wVNDYSF2FyIiosrvxo0bUKlUcHV11Vrv6uqKpKSkYuWVSiWUyofvN9nZ2eUeIxERUVXAgZyJyltmMvDfJuDUr8D1//SXs3UxkNB5sFhal0uIgiAgM0eJ1Fv3cPFGUWIn9dbDJE/W/QKD+9eysYSXoy08a9vAyU5elLQRW+TIUcv2QSLHRg5reWX4s0JEROYkOjoaM2bMMHUYRERElU5JY/qoOKYPUSkJAnD9dFGS59QmIPORbyylFoBvZ8D7WcDB82Eyp4Z70fg35UilFnAt6/6DrlhFCZ2LD5I6l27dK3HsHFd7Bbxq28LL0QbeTraoV9sG3o62qOdoAwdry3KNnYiIqhYnJyfIZDJkZGRorc/IyICbm1ux8pMnT0ZUVJT4PDs7G56enuUeJxERUWUnQwktfSrBBBBM+pDpCQKQ8V9RkufUr8CNMw+3SS0Bv65Ak75AoxcA61rlHk6BSo1/L9/B7rM3cDItCxdv5uLKrfvIV6n17iOVAHVqWT9M7DxI6Hg7FiV42EKHiIjKilwuR0BAALZt24bw8HAAgFqtxrZt2zBmzJhi5RUKBRSK8v1yhIiIqCqSljCmz+Oz65ojJn3INAQBSD/5MNFzM+XhNpkc8Hu+KNHTsAdgXbOcQxFw8eY97D6bid1nb2D/uZu4qywsVk4uk8KztjW8HIsSO161beDlZAtvR1vUqWkNuUVlGLudiIiqgqioKAwbNgxt27ZF+/btMW/ePOTm5oqzeREREdHTK3FMH/PP+TDpQxVIEIBrCQ+6bv0K3Dr/cJtMAfiHAE3DgQahgJVDuYZy514+9qbcxJ6UTPxz5gbS7tzX2l7LxhJB/k54xtcRfk5FrXbcHawh44DIRERkBgYNGoTMzExMnToV6enpaNWqFeLi4ooN7kxERERPTi6VQG7gf8BCzt5F1Z4gAFePPRyM+U7qw20WVg8SPS8WJXoUNcotjPxCNY5duo09Z29g99lMnEjLgvBI/0tLmQRtvWrj2fpO6FTfGU097DnjFRERmbUxY8bo7M5FREREZaPEKdvZvYuqJUEArhx50HXrNyDr0sNtFtZAg+5FXbfqhwIKu3IKQcC5zLvYffYGdp+9gQPnbxYbbLmBqx2e9XdGxwZOCPSpDRs5fx2IiIiIiIioiFQiMThuD8f0oepDrQauHH7YdSv7ysNtljZFLXmahAP1uwFy23IJ4eZdJfaeu4ndZzKxJ+UGrmXlaW13tJXj2fpO6FjfGc/6O8HNwapc4iAiIiIiIqLKTyKTQGKgB4iESR+q8pQ5wM7PgcSNQM7Vh+vldg8TPf4hgNym7A9dqMLRi7fxz9kb2JOSicS0bK3tcgsp2nvXfpDocUJjN3bZIiIiIiIiIuNI5TLIpPpnYpbqn+DZbDDpQ0+uUAmsfQW4sKvoubxG0WxbTfoC/s8DltZlfsiLN3Kx9XQGdp+9gYMXbiKvQPu3rJFbDXR80JqnvU9tWFlyqnQiIiIiIiIqPYlUAomBKbokHMiZqiy1Ctj4RlHCx9IWCF8INOgBWJZPl6kbd5WYs+UM1h2+BPUjAzA711Cgo78TOjZwQrC/E1xqsMsWERERERERPT2pTAKpgaSPlEkfqpIEAfjr/aKBmqWWwMurAb8u5XKovAIVlu+9iIU7UnBXWQgACPJzRNdGLni2vhMautaoFP0oiYiIiIiIqHKRSKWQSKX6tz86JbSZYtKHSm/XF8Dh7wBIgH6LyyXhIwgC/jyZjs/jTuPyrfsAgOZ1HPBRryZo71O7zI9HRERERERE9CiZXAqZTH/SR6Zi0oeqmsNLgZ2fFT3u8QXQ7KUyP8S/l+/gk82ncPjibQCAq70C74c2wout63AgZiIiIiIiIqoQEpkEEgNJHwnMfyRnJn3IeP9tAjZPKHrc6X0g8I0yrf5a1n3MjkvGxuNpAAArSylGdfLDqOd8YSPnrUpERFSW2sTPRQ0rhanDMEu/rP7U1CGYtfqqU6YOwazV/mWmqUMwa44vv2nqEMza72ujTR2C2cq9m4OX2q6u0GNWhTF99KesntLFixcxcuRI+Pj4wNraGn5+fpg2bRry8/O1ykgkkmLLgQMHtOq6c+cORo8eDXd3dygUCjRo0AB//vmnVpmFCxfC29sbVlZWCAwMxKFDh8rr1Kqn87uAjZEABCAgAujyvzKr+l5+IebGn0GXmJ1iwqdfmzrYMbEzxndrwIQPERERERERVTiJRFI0g5e+pRKML1tu/00nJSVBrVZj8eLF8Pf3R2JiIiIjI5Gbm4uYmBitslu3bkXTpk3F546OjuLj/Px8dOvWDS4uLvj5559Rp04dpKamombNmmKZdevWISoqCosWLUJgYCDmzZuH0NBQJCcnw8XFpbxOsfq4mgCsHQKo8oHGvYGec4EyuLnVagEbj6dh9t9JyMhWAgDaedfCR72aoEXdmk9dPxEREREREdGTksllkFnI9G+XVuMxfcLCwhAWFiY+9/X1RXJyMmJjY4slfRwdHeHm5qaznmXLluHWrVvYt28fLC0tAQDe3t5aZebOnYvIyEgMHz4cALBo0SJs3rwZy5Ytw6RJk8rwrKqhm+eA1f2B/LuAd0eg33eAVP9Nb6yD529i5uZTSEzLBgB41rbG5B6N0aOZW6XIlhIREREREVHVVjSmj/7/TyWC+f/vWm7du3TJyspC7drFZ17q06cPXFxc8Oyzz+K3337T2vbbb7+hQ4cOGD16NFxdXdGsWTN89tlnUKlUAIpaAh09ehQhISHiPlKpFCEhIdi/f3/5nlBVl5MOfP8ikJsJuLUAXl4DWFo9VZWpN3Px5vdHMWjJASSmZcNOYYFJPRohfvxzeKG5OxM+REREREREZBakMmmJi7mrsMFSUlJSsGDBAq1WPnZ2dpgzZw6Cg4MhlUqxYcMGhIeHY9OmTejTpw8A4Pz589i+fTteeeUV/Pnnn0hJScHbb7+NgoICTJs2DTdu3IBKpYKrq6vW8VxdXZGUlKQ3HqVSCaVSKT7Pzs4u4zOu5O7fAX54CbiTCtTyAV7dAFjZP3F12XkF+Hp7ClbsvYh8lRpSCfBy+3qI6tYATnYcRJKIiIiIiIjMTAktfVAJWvqUOukzadIkzJo1y2CZ06dPo1GjRuLztLQ0hIWFYcCAAYiMjBTXOzk5ISoqSnzerl07XL16FbNnzxaTPmq1Gi4uLliyZAlkMhkCAgKQlpaG2bNnY9q0aaUNXxQdHY0ZM2Y88f5VWsH9ojF8MhIBWxfgtV8AuycbG6lQpcaPhy/jy/gzuJVbNIh3x/pOmNKzMRq5PXkSiYiIiIiIiKg8ySxkkFkaGNMHVXBMnwkTJiAiIsJgGV9fX/Hx1atX0aVLFwQFBWHJkiUl1h8YGIj4+Hjxubu7OywtLSGTPbzQjRs3Rnp6OvLz8+Hk5ASZTIaMjAytejIyMvSOEwQAkydP1ko4ZWdnw9PTs8T4qjxVIbDhdSB1L6CwL2rhU9vniaradSYTn24+hTMZdwEAfs62+LBnE3Ru6MxuXERERERERGTWSpyyXV26/2v/+ecfzJ49G0ePHsW1a9fwyy+/IDw8/CmjNKzUSR9nZ2c4OzsbVTYtLQ1dunRBQEAAli9fDqm05P5uCQkJcHd3F58HBwdjzZo1UKvV4v5nzpyBu7s75HI5ACAgIADbtm0TL5Zarca2bdswZswYvcdRKBRQKNitSIsgAH+MA5L+AGQKYPCPgHuLUldzNiMHn2w+jV1nMgEANW0sMT6kAYYE1oNlJejzSERERERERFTiQM6lTPrk5uaiZcuWGDFiBPr16/e04Rml3Mb0SUtLQ+fOneHl5YWYmBhkZmaK2zQtcFauXAm5XI7WrVsDADZu3Ihly5bhu+++E8u+9dZb+PrrrzF27Fi88847OHv2LD777DO8++67YpmoqCgMGzYMbdu2Rfv27TFv3jzk5uaKs3mRkbbPBI5/D0ikQP+lgPezpdr9Vm4+vow/gzWHLkGlFmAhlWBYkDfe7VofDjaW5RQ0ERERERERUdmTyKSQGGi4IFGXrlFDjx490KNHj6cNq1TKLekTHx+PlJQUpKSkoG7dulrbBOFhv7eZM2ciNTUVFhYWaNSoEdatW4f+/fuL2z09PfH3339j/PjxaNGiBerUqYOxY8figw8+EMsMGjQImZmZmDp1KtLT09GqVSvExcUVG9yZDDgQC+yeU/S415dA495G76osVGHVvlTM334WOXmFAIBuTVzxvxcaw8fJtjyiJSIiIiIiIipXMksJZJb6EzsyFLX0eXxiKHPqWVRuSZ+IiIgSx/4ZNmwYhg0bVmJdHTp0wIEDBwyWGTNmjMHuXGTAifVA3KSix10/BAIijN419WYuhi07hIs37wEAGrvb46NejRHk51QOgRIREZEpxgMgIiKqjqRSw9OyS1VF2x4fH3jatGmYPn16eYZmtAqbsp3MVMpWYNObRY8D3wQ6TjR61/xCNcasOY6LN+/ByU6B90IboH+AJ2RSDtJMRERUXkwxHgAREVF1VOKYPg+2Xb58Gfb2D2enNpdWPgCTPtXblSPAuqGAuhBo1h8IjQZKMavWnC3JOJmWBQdrS/w2JhgeNa3LMVgiIiICTDMeABERUXVU4pg+D7bZ29trJX3MCZM+1VXmGWD1AKAgF/DrCoTHAkbMrqax+2wmFv9zHgAw66UWTPgQERGZKaVSCaVSKT5/fNwBIiIi0k1maQGZpf60ieyR8YrNFZM+1VFWGvD9i8D9W0CdAGDg94CF3Ojdb95VIuqnfwEAQwLrIayZW3lFSkRERE8pOjoaM2bMMHUYRERElU8JLX1gaJsOd+/eRUpKivj8woULSEhIQO3atVGvXr0njdKg0kVIld+9W8AP/YDsK4BjfWDIekBhZ/TugiDgvZ9PIDNHifoudvioZ5NyDJaIiIie1uTJk5GVlSUuly9fNnVIRERElYJEKhW7eOlcStFbBgCOHDmC1q1bo3Xr1gCAqKgotG7dGlOnTi2P8AGwpU/1kn8PWDMIyEwCangAr20EbB1LVcXKfRexPek65BZSzB/cGtZyWTkFS0RERGXBnKaNJSIiqkwkUsOJndImfTp37gyhgruEMelTXagKgPXDgCuHAKuaRQmfmqVrPnb6WjY++ysJADC5RyM0djfPgaqIiIiIiIiInpZUbgGp3FL/do7pQ2ZBrQZ+HQOc3QJYWANDfgJcGpeqivv5Krz743HkF6rRtZELIoK8yydWIiIiMsgU4wEQERFVR1KpFFIDrXkMbTMXTPpUB/EfASfWAhIZMHAlUC+w1FV8svkUzl6/C+caCszu3wKSUkztTkRERGXnyJEj6NKli/g8KioKADBs2DCsWLHCRFERERFVPcZO2W7OmPSp6vZ+Bez/uuhx34VAg9BSVxGXmI7VBy8BAOYObAlHO44LQEREZCqmGA+AiIioOmLSh8zb8dVA/INRwLvNBFoNLnUV17LuY9LGEwCANzr5omN957KMkIiIiIiIiMgsSS0sILXUnzaRqtQVGM2TYdKnqkr+C/jtnaLHQe8Cwe+WugqVWsD4dQm4c68Azes4YGL3hmUcJBEREREREZF5YksfMk9XjgDrIwBBBbQcAnT7+ImqWbTrHA6cvwUbuQzzB7eG3ML8b2giIiIiIiKisiCVSSE1kNgxtM1cMOlTFe2aBRTmAfVDgT7zgScYdPnYpduYG38GADCjT1P4ONmWdZREREREREREZktqKSuhe5eqAqN5Mkz6VDUFecCF3UWPn58KyCxLXUVOXgHGrj0OlVpArxbu6B9Qt4yDJCIiIiIiIjJv7N5F5ufSfqDwPmDnBrg2faIqPtqUiMu37qNOTWt8+mJzTs9ORERERERE1Y5EIoVEaiDpI2HShyrauW1FP/2ff6JuXRuPXcGmhKuQSSWYP7gVHKxL31KIiIiIiIiIqLKTyGSQymQGt5s7Jn2qmpQHSR+/rqXeNfVmLj7alAgAGPt8fQR41S7LyIiIiMiMWLvUho2NlanDMEsXb983dQhmbVvtJqYOwaw9W2evqUMwayffHWfqEMzaufcWmzoEs3U/t+L/NkvlFpDKOaYPmYvsq8D1UwAkpU76FKjUeHdtAnLzVWjvXRuju/iXT4xERERERERElYBEWkL3LgPbzAWTPlXJue1FP+u0AWxK10pnbvwZ/Hv5DuytLPDly60gk3IcHyIiIiIiIqq+qsJAzuUW4cWLFzFy5Ej4+PjA2toafn5+mDZtGvLz87XKSCSSYsuBAwe06po3bx4aNmwIa2treHp6Yvz48cjLy9Mqs3DhQnh7e8PKygqBgYE4dOhQeZ2a+UrZWvTT7/lS7bYv5QYW7ToHAJj1UgvUqWld1pERERERERERVSoSqURM/OhcKkFjiXJr6ZOUlAS1Wo3FixfD398fiYmJiIyMRG5uLmJiYrTKbt26FU2bPpxpytHRUXy8Zs0aTJo0CcuWLUNQUBDOnDmDiIgISCQSzJ07FwCwbt06REVFYdGiRQgMDMS8efMQGhqK5ORkuLi4lNcpmhe1Cji3o+ixf4jRu93Kzcf4nxIgCMDg9p7o0dy9nAIkIiIiIiIiqjykFpaQWuif3EhqUY3H9AkLC0NYWJj43NfXF8nJyYiNjS2W9HF0dISbm5vOevbt24fg4GAMGTIEAODt7Y3Bgwfj4MGDYpm5c+ciMjISw4cPBwAsWrQImzdvxrJlyzBp0qSyPjXzdPU4kHcHUDgAdQKM2kUQBLz/8wlkZCvh52yLj3pxUD4iIiIiIiIiAIBUVrQY2m7mKrQDWlZWFmrXLj7WTJ8+feDi4oJnn30Wv/32m9a2oKAgHD16VOyudf78efz555944YUXAAD5+fk4evQoQkIetm6RSqUICQnB/v379caiVCqRnZ2ttVRqmq5dvs8BMuNyeT8cSMXW0xmQy6SYP7g1bAyMSk5ERERERERUrUilJS9mrsL+y09JScGCBQu0WvnY2dlhzpw5CA4OhlQqxYYNGxAeHo5NmzahT58+AIAhQ4bgxo0bePbZZyEIAgoLC/Hmm2/if//7HwDgxo0bUKlUcHV11Tqeq6srkpKS9MYTHR2NGTNmlMOZmohmqnYju3Ylp+fgk82nAQAf9GiEph4O5RUZERERERERUaUjkckgkelvzWNom7kodVpq0qRJOgdffnR5PNmSlpaGsLAwDBgwAJGRkeJ6JycnREVFITAwEO3atcPnn3+OV199FbNnzxbL7Ny5E5999hm++eYbHDt2DBs3bsTmzZsxc+bMpzhtYPLkycjKyhKXy5cvP1V9JnX/NpB2pOixf8mDOOcVqPDuj8ehLFSjc0NnjAj2Lt/4iIiIiIiIiCobC0vAQm5g0T/ej7kodUufCRMmICIiwmAZX19f8fHVq1fRpUsXBAUFYcmSJSXWHxgYiPj4ePH5Rx99hNdeew2vv/46AKB58+bIzc3FG2+8gSlTpsDJyQkymQwZGRla9WRkZOgdJwgAFAoFFApFifFUCud3AoIacGoIONQtsfhnf55GckYOnOwUmN2/JSQS8x9xnIiIiIiIiKgiSaRSSAx04TK0zVyUOunj7OwMZ2dno8qmpaWhS5cuCAgIwPLlyyE14oIkJCTA3f3hDFL37t0rtp/sQRMqQRAgl8sREBCAbdu2ITw8HACgVquxbds2jBkzxsizquRK0bUr/lQGVu1PBQDMGdgSzjWqSOKLiIiIiIiIqCxJShjIWWL+3bvKbUyftLQ0dO7cGV5eXoiJiUFmZqa4TdMCZ+XKlZDL5WjdujUAYOPGjVi2bBm+++47sWzv3r0xd+5ctG7dGoGBgUhJScFHH32E3r17i8mfqKgoDBs2DG3btkX79u0xb9485ObmirN5VWmCAJzbXvTYv6vBohnZeXj/538BAK8/64PnGhiXvCMiIiLzER0djY0bNyIpKQnW1tYICgrCrFmz0LBhQ1OHRkREVLVUgdm7yi3pEx8fj5SUFKSkpKBuXe0uR4IgiI9nzpyJ1NRUWFhYoFGjRli3bh369+8vbv/www8hkUjw4YcfIi0tDc7Ozujduzc+/fRTscygQYOQmZmJqVOnIj09Ha1atUJcXFyxwZ2rpMwkIDsNsLACvIL1FlOrBUT9lIDb9wrQ1MMe74XxgyEREVFltGvXLowePRrt2rVDYWEh/ve//6F79+44deoUbG1tTR0eERFRlSGxsITEwLg9EovCCozmyZRb0iciIqLEsX+GDRuGYcOGGSxjYWGBadOmYdq0aQbLjRkzpvp053qUpmuXVzBgaa232OJ/zmNvyk1YW8owf3BrKCzMPyNJRERExcXFxWk9X7FiBVxcXHD06FF06tTJRFERERFVQVJpCS19quCYPmRmzmnG89E/a9e/l+9gzpZkAMD0Pk3g52xXEZERERFRBcjKygIA1K5dW+d2pVIJpVIpPs/Ozq6QuIiIiCq7ajllO5mR/HvAxb1Fj/10J33uKgvx7trjKFQL6NncHQPbelZggERERFSe1Go1xo0bh+DgYDRr1kxnmejoaDg4OIiLpyc/CxARERlFKi15MXPmHyHpl7oPUCkB+7qAs+4xeqb+mojUm/dQp6Y1PnuxOadnJyIiqkJGjx6NxMRErF27Vm+ZyZMnIysrS1wuX75cgRESERFVXhILeYmLuWP3rspM7NrVFdCRzPk1IQ0bj6VBKgHmvdwKDjb6B6AiIiKiymXMmDH4448/8M8//xSbNONRCoUCCoWiAiMjIiKqIiQltOaRmH87GiZ9KrOUrUU/dXTtunzrHj78JREA8E7X+mjnrbufPxEREVUugiDgnXfewS+//IKdO3fCx8fH1CERERFVSRKpDBIDAzkb2mYumPSprO5cBm6cASQywLez1qYClRrvrj2OHGUh2nrVwjtd/U0TIxEREZW50aNHY82aNfj1119Ro0YNpKenAwAcHBxgba1/Jk8iIiIqJc7eRSaj6dpVty1gXVNr09I9F3D80h3UsLLAvJdbwUJm/jciERERGSc2NhYA0LlzZ631y5cvR0RERMUHREREVEVJLC0hsdQ/TIqhbeaCSZ/KykDXrr8Si77xez+sEerWsqnIqIiIiKicCYJg6hCIiIiqB6mshJY+5t+9i01AKiNVIXD+n6LH/iFam+7lF+K/tCwAQJeGzhUdGREREREREVHVoEn6GFqewMKFC+Ht7Q0rKysEBgbi0KFDZRz4Q0z6VEZpRwBlFmBdC/BopbUp4fIdFKoFuDtYoU5N9usnIiIiIiIiehISqbTEpbTWrVuHqKgoTJs2DceOHUPLli0RGhqK69evl8MZMOlTOWm6dvl2KZZZPHLxNgCgrXdtSHRM405ERERERERERpBaADJL/Yu09CPmzJ07F5GRkRg+fDiaNGmCRYsWwcbGBsuWLSuHE2DSp3JKeTCI82NduwDg8MVbAIB23rUqMiIiIiIiIiKiqkUiLXkBkJ2drbUolUqd1eXn5+Po0aMICXn4v7xUKkVISAj2799fLqfApE9lk3sTuHq86LFfV61NhSo1jqU+aOnjVbuiIyMiIiIiIiKqMgSJtMQFADw9PeHg4CAu0dHROuu7ceMGVCoVXF1dtda7uroiPT29XM6Bs3dVNud3ABAAl6aAvbvWpqT0HOTmq1DDygIN3WqYJj4iIiIiIiKiquCR1jx6twO4fPky7O3txdUKhaK8IzMakz6Vjdi1q/hU7ZquXQFetSCTcjwfIiIiIiIioicmkxUthrYDsLe310r66OPk5ASZTIaMjAyt9RkZGXBzc3uqUPVh0qcyEQTgnP6kj2YQ53be7NpFREREhsn9W0JuZ2PqMMzSibadTR2CWWvVydPUIZg1+dxJpg7BrCVPHW7qEMzaidbBpg7BbOVDXeHHfLQLl77tpSGXyxEQEIBt27YhPDwcAKBWq7Ft2zaMGTPmaULVi0mfyiQjEbibAVjaAPU6aG0SBEFs6dPWi4M4ExERERERET0VI7t3lUZUVBSGDRuGtm3bon379pg3bx5yc3MxfHj5JESZ9KlMNF27vDsCFtp9BC/duofrOUpYyiRo6Vmz4mMjIiIiIiIiqkrKIekzaNAgZGZmYurUqUhPT0erVq0QFxdXbHDnssKkT2VioGvX4Qddu1rUrQkrSwN9DomIiIiIiIioRIJUBkGqP20iSJ/sf+8xY8aUW3eux5XblO0XL17EyJEj4ePjA2tra/j5+WHatGnIz8/XKicIAmJiYtCgQQMoFArUqVMHn376qVaZnTt3ok2bNlAoFPD398eKFSuKHW/hwoXw9vaGlZUVAgMDcejQofI6NdNQ3gVS9xc99tM1ns+Drl3e7NpFRERERERE9NQ0LX0MLWau3Fr6JCUlQa1WY/HixfD390diYiIiIyORm5uLmJgYsdzYsWOxZcsWxMTEoHnz5rh16xZu3bolbr9w4QJ69uyJN998E6tXr8a2bdvw+uuvw93dHaGhoQCAdevWISoqCosWLUJgYCDmzZuH0NBQJCcnw8XFpbxOsWJd3AOoC4CaXoCjX7HNmvF82nlxEGciIiIiIiKipyaRFC2Gtpu5ckv6hIWFISwsTHzu6+uL5ORkxMbGikmf06dPIzY2FomJiWjYsCEAwMfHR6ueRYsWwcfHB3PmzAEANG7cGHv27MGXX34pJn3mzp2LyMhIceCjRYsWYfPmzVi2bBkmTaoio+c/2rXrsRvr5l0lzmXmAiiarp2IiIiIiIiInlI5jOlT0So0wqysLNSu/bAlyu+//w5fX1/88ccf8PHxgbe3N15//XWtlj779+9HSEiIVj2hoaHYv7+oq1N+fj6OHj2qVUYqlSIkJEQso4tSqUR2drbWYtZSthb91NW1K7VoPJ/6LnaoZSuvyKiIiIiIiIiIqiRBagFBZmAxMN6PuaiwpE9KSgoWLFiAUaNGievOnz+P1NRUrF+/HqtWrcKKFStw9OhR9O/fXyyTnp5ebBRrV1dXZGdn4/79+7hx4wZUKpXOMunp6XrjiY6OhoODg7h4enqW0ZmWg1sXgFvnAakF4NOp2GbNeD7tfNi1i4iIiIiIiKhMVIExfUod4aRJkyCRSAwuSUlJWvukpaUhLCwMAwYMQGRkpLherVZDqVRi1apV6NixIzp37oylS5dix44dSE5OfvqzM2Dy5MnIysoSl8uXL5fr8Z6KpmuXZyBgZV9ss2bmrnYcxJmIiIiIiIiobFSBpE+p2yJNmDABERERBsv4+vqKj69evYouXbogKCgIS5Ys0Srn7u4OCwsLNGjQQFzXuHFjAMClS5fQsGFDuLm5ISMjQ2u/jIwM2Nvbw9raGjKZDDKZTGcZNzc3vTEqFAooFAqD52E2Uh4kffy6Ftt0P1+FxLQsAEBbDuJMREREREREVCbKa8r2ilTqtJSzszMaNWpkcJHLi8aVSUtLQ+fOnREQEIDly5dDKtU+XHBwMAoLC3Hu3Dlx3ZkzZwAAXl5eAIAOHTpg27ZtWvvFx8ejQ4cOAAC5XI6AgACtMmq1Gtu2bRPLVGqF+cCFf4oe+4cU25xw+Q4K1QLc7K1Qt5Z1BQdHREREFS02NhYtWrSAvb097O3t0aFDB/z111+mDouIiKjqqQItfcotQk3Cp169eoiJiUFmZibS09O1xtkJCQlBmzZtMGLECBw/fhxHjx7FqFGj0K1bN7H1z5tvvonz58/j/fffR1JSEr755hv89NNPGD9+vFhPVFQUvv32W6xcuRKnT5/GW2+9hdzcXHE2r0rtyiEg/y5g4wS4tSi2WTNVe1vvWpBUguniiIiI6OnUrVsXn3/+OY4ePYojR46ga9eu6Nu3L/777z9Th0ZERFS1aKZsN7SYuXIbajo+Ph4pKSlISUlB3bp1tbYJggCgaJat33//He+88w46deoEW1tb9OjRQ5yeHSiawn3z5s0YP348vvrqK9StWxffffedOF07AAwaNAiZmZmYOnUq0tPT0apVK8TFxRUb3LlSEmft6gpIi+foNEmf9hzEmYiIqFro3bu31vNPP/0UsbGxOHDgAJo2bWqiqIiIiKqgKjBle7klfSIiIkoc+wcAPDw8sGHDBoNlOnfujOPHjxssM2bMGIwZM6Y0IVYOmvF8dHTtKlSpcezBdO0cz4eIiKj6UalUWL9+PXJzc/V2a1cqlVAqleLz7OzsigqPiIioUhOkhqdl55Tt9HTuXgfSTxQ91jGIc1J6DnLzVaihsEBDtxoVHBwRERGZysmTJ2FnZweFQoE333wTv/zyC5o0aaKzbHR0NBwcHMTF09OzgqMlIiKqnASJpMTF3DHpY87ObS/66dYCsHMutvnIg65dbbxqQSY1/5uNiIiIykbDhg2RkJCAgwcP4q233sKwYcNw6tQpnWUnT56MrKwscbl8+XIFR0tERFQ5CULJi7kz/7ZI1ZmBrl0AcPhiUdeudt61KioiIiIiMgNyuRz+/v4AgICAABw+fBhfffUVFi9eXKysQqGAQqGo6BCJiIgqPbUgQG0gs2Nom7lg0sdcqdUPW/r4P19ssyAI4iDO7bw5ng8REVF1plartcbtISIioqenEooWQ9vNHZM+5ir9X+DeDUBuB9RtX2zz5Vv3cT1HCUuZBC09a1Z8fERERGQSkydPRo8ePVCvXj3k5ORgzZo12LlzJ/7++29Th0ZERFSlCIIgzj6ub7u5Y9LHXGm6dvk8B1jIi23WtPJpXscBVpayioyMiIiITOj69esYOnQorl27BgcHB7Ro0QJ///03unXrZurQiIiIqhS1ULQY2m7umPQxV2LXruKzdgHAkVR27SIiIqqOli5dauoQiIiIqo1KkNcxiEkfc5SXDVw+WPTYr/h4PgBw6AKTPkRERERERETlRaUWoDLQnMfQNnPBpI85uvAPoC4EavsBtX2Kbb55V4lzmbkAgAAvztxFREREREREVNbUDxZD280dkz7m6JxmqnbdrXyOphZN1V7fxQ61bIuP90NERERERERET0cQihZD280dkz7mRhCAlK1Fj/V07TryIOnTll27iIiIiIiIiMoFB3KmsnfzHHDnEiCTA97P6iyimbmrnTe7dhERERERERGVB5UgQGWgOY+hbeaCSR9zo+naVe8ZQGFXbPP9fBVOXskCwEGciYiIiIiIiMqLgBK6d1VYJE+OSR9zU0LXroTLd1CoFuBmb4W6tawrMDAiIiIiIiKi6kMtCFAbyPoY2mYumPQxJ4VK4OKeosf+ITqLHHnQtautdy1IJJKKioyIiIiIiIioWhFguDWP+ad8mPQxL5f2AwX3ADs3wLWpziKHHwzizK5dRERE9DQEr1YQ7GuYOgyz5BIXZ+oQzFr7utdMHYJZU7vWN3UIZu2l/FxTh2DWTvHvj17K3LvAS+0q9JhqNaAyMC+7uhLM2c6kjzkRu3Z1BXS04lGpBRwTZ+7iIM5ERERERERE5UUNAWoD7XkMbTMXTPqYk5TtRT/9dY/nc/paNu4qC1FDYYFGbvYVGBgRERERERFR9SIIJQzkbP45HyZ9zEb2NeD6fwAkRS19dNCM59PGqxZkUo7nQ0RERERERFRe1ELRYmi7uZOWV8UXL17EyJEj4ePjA2tra/j5+WHatGnIz8/XKicIAmJiYtCgQQMoFArUqVMHn376qbh948aN6NatG5ydnWFvb48OHTrg77//Lna8hQsXwtvbG1ZWVggMDMShQ4fK69TKh2aqdo/WgI3u8XoejufDrl1ERERERERE5UklCCUu5q7cWvokJSVBrVZj8eLF8Pf3R2JiIiIjI5Gbm4uYmBix3NixY7FlyxbExMSgefPmuHXrFm7duiVu/+eff9CtWzd89tlnqFmzJpYvX47evXvj4MGDaN26NQBg3bp1iIqKwqJFixAYGIh58+YhNDQUycnJcHFxKa9TLFspD5I+embtEgThkZm7OIgzERERERERUXli9y4DwsLCEBYWJj739fVFcnIyYmNjxaTP6dOnERsbi8TERDRs2BAA4OPjo1XPvHnztJ5/9tln+PXXX/H777+LSZ+5c+ciMjISw4cPBwAsWrQImzdvxrJlyzBp0qTyOsWyo1YB53cUPdYzns+V2/eRka2EpUyCVp41Ky42IiIiIiIiompILQhQG8jsGNpmLsqte5cuWVlZqF37YSuV33//Hb6+vvjjjz/g4+MDb29vvP7661otfR6nVquRk5Mj1pOfn4+jR48iJORhCxmpVIqQkBDs37+//E6mLF09Dty/DSgcgDptdRY5dKHomjSv4wArS1lFRkdERERERERU7ajUJS/l5dNPP0VQUBBsbGxQs2bNJ66nwpI+KSkpWLBgAUaNGiWuO3/+PFJTU7F+/XqsWrUKK1aswNGjR9G/f3+99cTExODu3bsYOHAgAODGjRtQqVRwdXXVKufq6or09HS99SiVSmRnZ2stJqPp2uX7HCDT3fjqSGpR0qcdu3YRERERERERlbtCtRoFBpZCdfllffLz8zFgwAC89dZbT1VPqZM+kyZNgkQiMbgkJSVp7ZOWloawsDAMGDAAkZGR4nq1Wg2lUolVq1ahY8eO6Ny5M5YuXYodO3YgOTm52LHXrFmDGTNm4KeffnrqsXqio6Ph4OAgLp6enk9V31PRDOKsp2sXABy+WDSIM8fzISIiIiIiIip/RbN3CQaW8jv2jBkzMH78eDRv3vyp6il10mfChAk4ffq0wcXX11csf/XqVXTp0gVBQUFYsmSJVl3u7u6wsLBAgwYNxHWNGzcGAFy6dEmr7Nq1a/H666/jp59+0urK5eTkBJlMhoyMDK3yGRkZcHNz03sekydPRlZWlrhcvny5tJeibNy/DVw5XPTYT3fS51ZuPlKu3wUABHhx5i4iIiIq8vnnn0MikWDcuHGmDoWIiKjKMbZ71+O9iJRKpWkDf0SpB3J2dnaGs7OzUWXT0tLQpUsXBAQEYPny5ZBKtXNMwcHBKCwsxLlz5+Dn5wcAOHPmDADAy8tLLPfjjz9ixIgRWLt2LXr27KlVh1wuR0BAALZt24bw8HAARS2Itm3bhjFjxuiNTaFQQKFQGHUe5er8LkBQA04NgZq6WxsdfTBVu7+LHWrbyisyOiIiIjJThw8fxuLFi9GiRQtTh0JERFQlGTuQ8+M9h6ZNm4bp06eXZ2hGK7cxfdLS0tC5c2fUq1cPMTExyMzMRHp6utY4OyEhIWjTpg1GjBiB48eP4+jRoxg1ahS6desmtv5Zs2YNhg4dijlz5iAwMFCsIysrS6wnKioK3377LVauXInTp0/jrbfeQm5urjibl1kzqmsXx/MhIiKih+7evYtXXnkF3377LWrVYitgIiKi8lAgCChQG1geJH0uX76s1ZNo8uTJOut7kuFynla5TdkeHx+PlJQUpKSkoG7dulrbhAcXRiqV4vfff8c777yDTp06wdbWFj169MCcOXPEskuWLEFhYSFGjx6N0aNHi+uHDRuGFStWAAAGDRqEzMxMTJ06Fenp6WjVqhXi4uKKDe5sdgTh4SDOerp2AY8mffihjoiIiIDRo0ejZ8+eCAkJwSeffGKwrFKp1GpmbtLJK4iIiCoRlVqAysDAPZpt9vb2sLe3L7G+CRMmICIiwmCZR4fLKQvllvSJiIgo8WQAwMPDAxs2bNC7fefOnUYdb8yYMQa7c5mlzGQgOw2wsAK8g3UWuZ+vQmJaUasmtvQhIiKitWvX4tixYzh8+LBR5aOjozFjxoxyjoqIiKjqEUro3iUY2KZLaYbLKSsVNmU76aDp2uUVBFha6yzy75U7KFAJcLVXoG4t3WWIiIioerh8+TLGjh2L1atXw8rKyqh9zGbyCiIiokpGJZS8lJdLly4hISEBly5dgkqlQkJCAhISEnD37t1S1VNuLX3ICClbi34a6Np15EHXrrbetSGRSCoiKiIiIjJTR48exfXr19GmTRtxnUqlwj///IOvv/4aSqUSMplMax+zmbyCiIiokilQqVGgmaJLz/byMnXqVKxcuVJ83rp1awDAjh070LlzZ6PrYdLHVAruA6n7ih77h+gtduhi0cxd7dm1i4iIqNp7/vnncfLkSa11w4cPR6NGjfDBBx8US/gQERHRkzN29q7ysGLFCnEc46fBpI+ppO4FCvMA+zqAc0OdRVRqAcceTNfeloM4ExERVXs1atRAs2bNtNbZ2trC0dGx2HoiIiJ6OiV14SrP7l1lhUkfUxFn7eoK6Om2lZSejbvKQtgpLNDIreSRwImIiIiIiIiobJiypU9ZYdLHVDRJHwNdu4486NrVxqsWZFKO50NERETFGTvTKREREZVOoUpAgYHmPIWVoKkPkz6mcOcycCMZkEgB3+f0Fjv8YBDndl7s2kVERERERERUkdjSh56MZqr2Om0Ba90JHUEQHiZ9fDiIMxEREREREVFFUgkCVAYSO4a2mQsmfUzBiK5dV27fR0a2EpYyCVrWrVkxcRERERERERERAECtFqBWG2jpY2CbuWDSp6KpCoHzu4oe+z+vt5imlU+zOg6wlnP6VSIiIiIiIqKKVCAIsDCQ2ClgSx8qJu0IoMwq6tbl0VpvscMPBnFu582uXUREREREREQVjd27qPQ0Xbt8uwBS/S14jjxo6dOWgzgTERERERERVTi1WoCK3buoVDSDOBvo2nU7Nx9nr98FALRlSx8iIiIiIiKiCpdfqIa0UG1wu7lj0qci5d4E0o4VPfbrqrfYkdSirl3+LnaobSuviMiIiIiIiIiI6BEqNQy29FGZf86HSZ8KdX4HAAFwaQrYe+gtpuna1c6bXbuIiIiofAgnt0OwtTZ1GGbpf8F9TR2CWft38BhTh2DWmo4eaOoQzNrfnr1NHYJZmxJkZeoQzFZ2tjW+qOBjqkro3mVom7lg0qcindte9NNffysf4OHMXW292LWLiIiIiIiIyBSY9CHjCcLDQZz99I/nk1egwsm0LACcuYuIiIiIiIjIVApUhsf0KagE/buY9KkoGf8Bd9MBSxugXge9xRIu30GBSoCrvQKetdnkmoiIiIiIiMgU2NKHjKeZtcv7WcBSfz9Ncap279qQSCQVERkRVTIqlQoFBQWmDoOIdLC0tIRMJjN1GERERFQGmPQx4OLFi5g5cya2b9+O9PR0eHh44NVXX8WUKVMglz+ckUoQBMyZMwdLlixBamoqnJyc8Pbbb2PKlCnF6ty7dy+ee+45NGvWDAkJCVrbFi5ciNmzZyM9PR0tW7bEggUL0L59+/I6vdJL2Vr000DXLgA4fLFo5q52XhzEmYi0CYKA9PR03Llzx9ShEJEBNWvWhJubG7+8ISIiquQK1QJkBhI7hdU56ZOUlAS1Wo3FixfD398fiYmJiIyMRG5uLmJiYsRyY8eOxZYtWxATE4PmzZvj1q1buHXrVrH67ty5g6FDh+L5559HRkaG1rZ169YhKioKixYtQmBgIObNm4fQ0FAkJyfDxcWlvE7RePm5wKUDRY/9Q/QWU6kFHHswXXtbjudDRI/RJHxcXFxgY2PDfyiJzIwgCLh37x6uX78OAHB3dzdxRERERPQ0CgrVkBga08fANnNRbkmfsLAwhIWFic99fX2RnJyM2NhYMelz+vRpxMbGIjExEQ0bNgQA+Pj46KzvzTffxJAhQyCTybBp0yatbXPnzkVkZCSGDx8OAFi0aBE2b96MZcuWYdKkSeVwdqVkaQO8tQ9I3Qs4+uktlpyegxxlIewUFmjsbl+BARKRuVOpVGLCx9HR0dThEJEe1tZF4/Fdv34dLi4u7OpFRERUiakEASrBQPcuA9vMhbQiD5aVlYXatR+2YPn999/h6+uLP/74Az4+PvD29sbrr79erKXP8uXLcf78eUybNq1Ynfn5+Th69ChCQh62oJFKpQgJCcH+/fvL72RKQyIBnOoDARFFj/XQTNXexqsWZFJ+g09ED2nG8LGxsTFxJERUEs3vKcfeIiIiqtw0Y/oYWsxdhQ3knJKSggULFmh17Tp//jxSU1Oxfv16rFq1CiqVCuPHj0f//v2xfft2AMDZs2cxadIk7N69GxYWxcO9ceMGVCoVXF1dtda7uroiKSlJbzxKpRJKpVJ8np2d/bSn+NQ0SR+O50NE+rBLF5H54+8pERFR1VAVBnIudUufSZMmQSKRGFweT7akpaUhLCwMAwYMQGRkpLherVZDqVRi1apV6NixIzp37oylS5dix44dSE5OhkqlwpAhQzBjxgw0aNDg6c/2EdHR0XBwcBAXT0/PMq2/tARBEJM+HM+HiIiI9Jk+fXqxz16NGjUydVhERERVTr5KhfxCA4tKZeoQS1TqpM+ECRNw+vRpg4uvr69Y/urVq+jSpQuCgoKwZMkSrbrc3d1hYWGhldBp3LgxAODSpUvIycnBkSNHMGbMGFhYWMDCwgIff/wx/v33X1hYWGD79u1wcnKCTCYrNrhzRkYG3Nzc9J7H5MmTkZWVJS6XL18u7aUoU1du30dGthIWUglaedY0aSxERJXZ9OnT0apVqzKtc8WKFahZs2aJ5ZYuXYru3buX6bHJOBXxui9atAi9e/cu02M8qaZNm+LatWvismfPHlOHREREVOWoS+japa6KLX2cnZ3RqFEjg4tmSva0tDR07twZAQEBWL58OaRS7cMFBwejsLAQ586dE9edOXMGAODl5QV7e3ucPHkSCQkJ4vLmm2+iYcOGSEhIQGBgIORyOQICArBt2zaxDrVajW3btqFDhw56z0OhUMDe3l5rMaUjqUWtfJrVcYC1nIM+EhFVNnl5efjoo4+0xp97tEWGhYUFnJyc0KlTJ8ybN0+ri/GTePfddxEQEACFQqE32XHixAl07NgRVlZW8PT0xBdffFHq40yfPh2NGjWCra0tatWqhZCQEBw8ePCpYq+sRowYgWPHjmH37t2mDgUWFhZwc3MTFycnJ1OHREREVOVUhTF9ym0gZ03Cp169eoiJiUFmZibS09ORnp4ulgkJCUGbNm0wYsQIHD9+HEePHsWoUaPQrVs3NGjQAFKpFM2aNdNaXFxcYGVlhWbNmsHW1hYAEBUVhW+//RYrV67E6dOn8dZbbyE3N1eczasyOHShaKr29j7s2kVEVBn9/PPPsLe3R3BwsNZ6TYuMS5cuYceOHRgwYACio6MRFBSEnJycpzrmiBEjMGjQIJ3bsrOz0b17d3h5eeHo0aOYPXs2pk+fXqzVbUkaNGiAr7/+GidPnsSePXvg7e2N7t27IzMz86lir4zkcjmGDBmC+fPnmzoUnD17Fh4eHvD19cUrr7yCS5cumTokIiKiKqdQDRSqBQOLqSMsWbklfeLj45GSkoJt27ahbt26cHd3Fxfx4FIpfv/9d/Gbz549e6Jx48ZYu3ZtqY41aNAgxMTEYOrUqWjVqhUSEhIQFxdXbHBnc3ZEM54PB3Emoiqkc+fOeOeddzBu3DjUqlULrq6u+Pbbb8XEfI0aNeDv74+//vpL3EelUmHkyJHw8fGBtbU1GjZsiK+++kqr3p07d6J9+/awtbVFzZo1ERwcjNTUVJ0xnDt3Dr6+vhgzZgwEQYBSqcTEiRNRp04d2NraIjAwEDt37tTaZ8WKFahXrx5sbGzw4osv4ubNmyWe69q1a3V2/dG0yPDw8EDz5s3xzjvvYNeuXUhMTMSsWbOMuIq6zZ8/H6NHj9bqUv2o1atXIz8/H8uWLUPTpk3x8ssv491338XcuXNLdZwhQ4YgJCQEvr6+aNq0KebOnYvs7GycOHFC7z5V+XXv3bs3fvvtN9y/f78UV7FsBQYGYsWKFYiLi0NsbCwuXLiAjh076k0iKpVKZGdnay1ERERUsvxCdYmLuSu3pE9ERAQEQdC5PMrDwwMbNmxATk4O0tPTsXz5cq1p3R83ffp0JCQkFFs/ZswYpKamQqlU4uDBgwgMDCzrUyo3t3Pzcfb6XQBAAJM+RGQEQRBwL7/QJMvjf8dLsnLlSjg5OeHQoUN455138NZbb2HAgAEICgrCsWPH0L17d7z22mu4d+8egKIuunXr1sX69etx6tQpTJ06Ff/73//w008/AQAKCwsRHh6O5557DidOnMD+/fvxxhtv6Jwx6cSJE3j22WcxZMgQfP3115BIJBgzZgz279+PtWvX4sSJExgwYADCwsJw9uxZAMDBgwcxcuRIjBkzBgkJCejSpQs++eSTEs9zz549aNu2rVHXpFGjRujRowc2btwornvzzTdhZ2dncCmN/fv3o1OnTmKXawAIDQ1FcnIybt++Xaq6NPLz87FkyRI4ODigZcuWBstW1de9bdu2KCwsNGkXtx49emDAgAFo0aIFQkND8eeff+LOnTvitXqcuU1eQUREVFlUhe5dFTZlO+l3NLXow7efsy0c7RQmjoaIKoP7BSo0mfq3SY596uNQ2MiNf/to2bIlPvzwQwBFg+h//vnncHJyEmdznDp1KmJjY3HixAk888wzsLS0xIwZM8T9fXx8sH//fvz0008YOHAgsrOzkZWVhV69esHPzw/Aw0kAHrVv3z706tULU6ZMwYQJEwAUTRKwfPlyXLp0CR4eHgCAiRMnIi4uDsuXL8dnn32Gr776CmFhYXj//fcBFHVv2rdvH+Li4vSe4507d5CVlSXWaYxGjRphy5Yt4vOPP/4YEydONHr/kqSnp8PHx0drnaYFbHp6OmrVMv5Lhj/++AMvv/wy7t27B3d3d8THx5c4hkxVfd1tbGzg4OCgt4WRKdSsWRMNGjRASkqKzu2TJ09GVFSU+Dw7O5uJHyIiIiOoS0jsVIaBnJn0MQOHHwzi3I5TtRNRFdSiRQvxsUwmg6OjI5o3by6u0yQirl+/Lq5buHAhli1bhkuXLuH+/fvIz88XByuuXbs2IiIiEBoaim7duiEkJAQDBw7U6j586dIldOvWDZ9++inGjRsnrj958iRUKpXWrJFAUfcXR0dHAMDp06fx4osvam3v0KGDwaSPpquPlZWVMZcEQFFrrUdbqbi4uMDFxcXo/StSly5dkJCQgBs3buDbb7/FwIEDcfDgQYPxVuXX3draWmyhZA7u3r2Lc+fO4bXXXtO5XaFQQKHgl0pERESlpVILkBhI7LClDxnl8AUmfYiodKwtZTj1cajJjl0alpaWWs8lEonWOk3iQ60u6hO9du1aTJw4EXPmzEGHDh1Qo0YNzJ49W6s7zfLly/Huu+8iLi4O69atw4cffoj4+Hg888wzAIpmmvTw8MCPP/6IESNGiDM03r17FzKZDEePHoVMpn0epe0+9ShHR0dIJJJSdZs6ffq0VkucN998Ez/88IPBfe7evWt0/W5ubsjIyNBap3nu5uZmdD0AYGtrC39/f/j7++OZZ55B/fr1sXTpUkyePFnvPlX5db916xacnZ1LvV9ZmThxInr37g0vLy9cvXoV06ZNg0wmw+DBg00WExERUVWkUqkhMTBuj0pl/mP6MOljYnkFKpxMywLApA8RGU8ikZSqi1VlsnfvXgQFBeHtt98W1507d65YudatW6N169aYPHkyOnTogDVr1oj//FtbW+OPP/7ACy+8gNDQUGzZsgU1atRA69atoVKpcP36dXTs2FHn8Rs3blxsvJYDBw4YjFkul6NJkyY4deoUunfvXuI5JiUlIS4uTitpUtbduzp06IApU6agoKBATLbEx8ejYcOGperapYtarX7qKecfV1le93PnziEvLw+tW7d+mtN9KleuXMHgwYNx8+ZNODs749lnn8WBAwdMmogiIiKqinSNS/z4dnNXbgM5k3H+vXwHBSoBLjUU8KxtbepwiIhMrn79+jhy5Aj+/vtvnDlzBh999BEOHz4sbr9w4QImT56M/fv3IzU1FVu2bMHZs2eLje9ia2uLzZs3w8LCAj169MDdu3fRoEEDvPLKKxg6dCg2btyICxcu4NChQ4iOjsbmzZsBQGxJEhMTg7Nnz+Lrr7822LVLIzQ0FHv27Cm2vrCwEOnp6bh69SpOnjyJBQsW4LnnnkOrVq3w3nvvieVcXFzE1jT6lkelpKQgISEB6enpuH//PhISEpCQkID8/HwARbNuyeVyjBw5Ev/99x/WrVuHr776Smtsl5Lk5ubif//7Hw4cOIDU1FQcPXoUI0aMQFpaGgYMGGB0PcaoLK/77t274evrK44rZApr167F1atXoVQqceXKFaxdu9ak8RAREVVVgloocTF3TPqY2JEHgzi3866tcwYSIqLqZtSoUejXrx8GDRqEwMBA3Lx5U6v1h42NDZKSkvDSSy+hQYMGeOONNzB69GiMGjWqWF12dnb466+/IAgCevbsidzcXCxfvhxDhw7FhAkT0LBhQ4SHh+Pw4cOoV68eAOCZZ57Bt99+i6+++gotW7bEli1bxAGJDRk5ciT+/PNPZGVlaa3/77//4O7ujnr16qFz58746aefMHnyZOzevfupupS9/vrraN26NRYvXowzZ86ILWCuXr0KAHBwcMCWLVtw4cIFBAQEYMKECZg6dSreeOMNsY6dO3dCIpHg4sWLOo8hk8m0rnXv3r1x8+ZN7N69G02bNn3i2HWpLK/7jz/+KA5GTURERFWbWi2UuJg7iVAZ2iNVgOzsbDg4OCArK0scA6AiRCw/hJ3JmZjWuwmGB/uUvAMRVUt5eXm4cOECfHx8SjVYMFWsAQMGoE2bNgbHujEnmpmrTp06VWwMHiruv//+Q9euXXHmzBk4ODjoLWfo99VUnzd0xXD9t0Wwt2UrY12E9n1NHYJZ+2/wS6YOwaw1HT3Q1CGYtb89e5s6BLMWVo+f8/TJzs6GS13vCnkP1bxXtp/2GyysbPWWK8zLxaEZfco8posXL2LmzJnYvn070tPT4eHhgVdffRVTpkyBXC4vVV1Vc0CISkKlFnD04sOWPkREVLnNnj0bv//+u6nDMNqff/6Jzz77jAkfI127dg2rVq0ymPAhIiKiqqOk1jzl1dInKSkJarUaixcvhr+/PxITExEZGYnc3FzExMSUqi4mfUwoOT0HOcpC2Cks0MithqnDISKip+Tt7Y133nnH1GEYbf369aYOoVIJCQkxdQhERERUgUoat6e8xvQJCwtDWFiY+NzX1xfJycmIjY1l0qcyOZJaNFV763o1YSHj8EpEREREREREZqOkwZofbMvOztZarVAooFAoyjSUrKws1K5d+h5CzDSY0GF27SIiIiIiIiIySyq1GiqVgUWtBgB4enrCwcFBXKKjo8s0jpSUFCxYsEDnBBYlYUsfExEEAYcvFLX0aetdy8TREBEREREREdGjjO3edfnyZa2BnPW18pk0aRJmzZpl8JinT59Go0aNxOdpaWkICwvDgAEDnmgGUSZ9TOTK7ftIz86DhVSC1p5M+hARERERERGZE7UakBgcyLnop729vVGzd02YMAEREREGy/j6+oqPr169ii5duiAoKAhLliwxKubHMeljIprxfJrVcYC1XGbiaIiIiKi6uXvqJCRWZTveQFXRdnXppsOtbjbX4pTShtz596SpQzBrtRv0M3UIZq1R1FZTh2C21Pn3KvyYgiBAEAy09DGwTRdnZ2c4OzsbVTYtLQ1dunRBQEAAli9fDqn0yUbnYdLHRB6O58NWPkRERERERETmRlUoADL9iR1VYfnM3pWWlobOnTvDy8sLMTExyMzMFLe5ubmVqi4mfUzkyEXNeD4cxJmIiIiIiIjI3Jhqyvb4+HikpKQgJSUFdevW1T5mKVsXcfYuE7hzLx9nMu4CANp6saUPEZE+3t7emDdvnqnDEHXq1Alr1qwxdRgAgGeeeQYbNmwwdRhEREREVZYm6WNoKQ8RERFi17LHl9Ji0scEjjzo2uXnbAtHO/alJyIylRUrVqBmzZpGlf3tt9+QkZGBl19+WVzn7e0NiUQCiUQCa2treHt7Y+DAgdi+fftTxdW5c2ex3keXnj17imU+/PBDTJo0CWrNCIJEREREVKbUglDiYu6Y9DGBww8GcW7Hrl1ERJXG/PnzMXz48GKD6H388ce4du0akpOTsWrVKtSsWRMhISH49NNPn/hYGzduxLVr18QlMTERMpkMAwYMEMv06NEDOTk5+Ouvv574OERERESkn1qlhrrQwKIy/y/fmPQxAU1LH47nQ0RV3c8//4zmzZvD2toajo6OCAkJQW5uLoCi1izjxo3TKh8eHl5sGsucnBwMHjwYtra2qFOnDhYuXChuEwQB06dPR7169aBQKODh4YF3331X3K5UKjFx4kTUqVMHtra2CAwMxM6dOwEAO3fuxPDhw5GVlSW2pJk+fbrO88jMzMT27dvRu3fvYttq1KgBNzc31KtXD506dcKSJUvw0UcfYerUqUhOTi79RQNQu3ZtuLm5iUt8fDxsbGy0kj4ymQwvvPAC1q5d+0THICIiIiLDBLUAtYGlvLp3laVySfpcvHgRI0eOhI+PD6ytreHn54dp06YhPz9fq5wgCIiJiUGDBg2gUChQp06dYt+MKpVKTJkyBV5eXlAoFPD29sayZcu0yqxfvx6NGjWClZUVmjdvjj///LM8TqtM5BWocOLKHQCcuYuInoIgAPm5plmMbMZ67do1DB48GCNGjMDp06exc+dO9OvXr9R9kWfPno2WLVvi+PHjmDRpEsaOHYv4+HgAwIYNG/Dll19i8eLFOHv2LDZt2oTmzZuL+44ZMwb79+/H2rVrceLECQwYMABhYWE4e/YsgoKCMG/ePNjb24staiZOnKgzhj179sDGxgaNGzc2KuaxY8dCEAT8+uuv4jo7OzuDy5tvvqm3vqVLl+Lll1+Gra2t1vr27dtj9+7dRsVERERERKWjb1ydpxljp6KVy+xdSUlJUKvVWLx4Mfz9/ZGYmIjIyEjk5uYiJiZGLDd27Fhs2bIFMTExaN68OW7duoVbt25p1TVw4EBkZGRg6dKl8Pf3x7Vr17TGL9i3bx8GDx6M6Oho9OrVC2vWrEF4eDiOHTuGZs2alcfpPZUTV7JQoBLgXEOBerVtTB0OEVVWBfeAzzxMc+z/XQXktiUWu3btGgoLC9GvXz94eXkBgFZCxljBwcGYNGkSAKBBgwbYu3cvvvzyS3Tr1g2XLl2Cm5sbQkJCYGlpiXr16qF9+/YAgEuXLmH58uW4dOkSPDyKrtXEiRMRFxeH5cuX47PPPoODgwMkEkmJU1+mpqbC1dW1WNcufWrXrg0XFxdcvHhRXJeQkGBwH3t7e53rDx06hMTERCxdurTYNg8PD1y+fBlqtdro2IiIiIjIOKaavasslUvSJywsDGFhYeJzX19fJCcnIzY2Vkz6nD59GrGxsUhMTETDhg0BAD4+Plr1xMXFYdeuXTh//jxq1y7qCuXt7a1V5quvvkJYWBjee+89AMDMmTMRHx+Pr7/+GosWLSqP03sqhx9M1d7euzYkEomJoyEiKj8tW7bE888/j+bNmyM0NBTdu3dH//79UatW6Vo5dujQodhzzYxeAwYMwLx58+Dr64uwsDC88MIL6N27NywsLHDy5EmoVCo0aNBAa3+lUglHR8dSxXD//n1YWVmVah9BELT+zvv7+5dqf42lS5eiefPmYjLrUdbW1lCr1VAqlbC2tn6i+omIiIhIN1VhIQRpod7t6kL928xFuSR9dMnKyhITNwDw+++/w9fXF3/88QfCwsIgCAJCQkLwxRdfiOV+++03tG3bFl988QW+//572Nraok+fPpg5c6b44Xb//v2IiorSOlZoaCg2bdpkMB6lUgmlUik+z87OLqMzNUyT9GnLrl1E9DQsbYpa3Jjq2EaQyWSIj4/Hvn37sGXLFixYsABTpkzBwYMH4ePjA6lUWqxJbEFBQalC8fT0RHJyMrZu3Yr4+Hi8/fbbmD17Nnbt2oW7d+9CJpPh6NGjkMlkWvvZ2dmV6jhOTk64ffu20eVv3ryJzMxMrS8zSjrmq6++WuzLitzcXKxduxYff/yxzn1u3boFW1tbJnyqobS0NHzwwQf466+/cO/ePfj7+2P58uVo27atqUMjIiKqMgS1CoJaZXC7uauQpE9KSgoWLFig1bXr/PnzSE1Nxfr167Fq1SqoVCqMHz8e/fv3F6e6PX/+PPbs2QMrKyv88ssvuHHjBt5++23cvHkTy5cvBwCkp6fD1dVV63iurq5IT083GFN0dDRmzJhRxmdqmEot4Ghq0T8NnLmLiJ6KRGJUFytTk0gkCA4ORnBwMKZOnQovLy/88ssviIqKgrOzM65duyaWValUSExMRJcuXbTqOHDgQLHnj46tY21tjd69e6N3794YPXo0GjVqhJMnT6J169ZQqVS4fv06OnbsqDM+uVwOlarkN+vWrVsjPT0dt2/fNqql0ldffQWpVIrw8HBx3ZN071q/fj2USiVeffVVnfskJiaidevWJcZDVcvt27cRHByMLl264K+//oKzszPOnj1b6lZ0REREZJigVpeQ9DH/2btKlfSZNGkSZs2aZbDM6dOn0ahRI/F5WloawsLCMGDAAERGRorrNc3RV61aJTa9X7p0KQICApCcnIyGDRtCrVZDIpFg9erVcHBwAADMnTsX/fv3xzfffPNU32xOnjxZq4VQdnY2PD09n7g+Y5zJyEFOXiFs5TI0cqtRrsciIjK1gwcPYtu2bejevTtcXFxw8OBBZGZmigmbrl27IioqCps3b4afnx/mzp2LO3fuFKtn7969+OKLLxAeHo74+HisX78emzdvBgCsWLECKpUKgYGBsLGxwQ8//ABra2t4eXnB0dERr7zyCoYOHYo5c+agdevWyMzMxLZt29CiRQv07NkT3t7euHv3LrZt24aWLVvCxsYGNjbFWzK1bt0aTk5O2Lt3L3r16qW1LScnB+np6SgoKMCFCxfwww8/4LvvvkN0dLRWl64n6d61dOlShIeH6+2Otnv3bnTv3r3U9VLlNmvWLHh6eopfgAHFu8gTERHR01MX5gMSmeHtZq5USZ8JEyYUm0r3cb6+vuLjq1evokuXLggKCsKSJUu0yrm7u8PCwkJrrAXNPwKXLl1Cw4YN4e7ujjp16ogJH00ZQRBw5coV1K9fH25ubsjIyNCqOyMjo8RBORUKBRQKhcEyZe3Ig65dbbxqwULGATeJqGqzt7fHP//8g3nz5iE7OxteXl6YM2cOevToAQAYMWIE/v33XwwdOhQWFhYYP358sVY+QNF7z5EjRzBjxgzY29tj7ty5CA0NBQDUrFkTn3/+OaKioqBSqdC8eXP8/vvvYpJk+fLl+OSTTzBhwgSkpaXByckJzzzzjJi4CQoKwptvvolBgwbh5s2bmDZtms5p22UyGYYPH47Vq1cXS/pMnToVU6dOhVwuh5ubG5555hls27ZN57mURnJyMvbs2YMtW7bo3J6WloZ9+/bhhx9+eKrjUOXz22+/ITQ0FAMGDMCuXbtQp04dvP3221pfrhEREdHTq3bdu5ydneHs7GxU2bS0NHTp0gUBAQFYvnx5sVlFgoODUVhYiHPnzsHPzw8AcObMGQAQZ3kJDg7G+vXrcffuXXEshDNnzkAqlaJu3boAigb03LZtG8aNGyfWHR8fX2zgT3Nw6CK7dhFR9dG4cWPExcXp3W5paYlvvvkG33zzjd4yj85+pUt4eLhWFypdx5gxY4bB7ryxsbGIjY01eBwAGD9+PJo2bYrU1FTxfaqk+J5Gw4YNDU4DOn/+fERERIjvh1R9nD9/HrGxsYiKisL//vc/HD58GO+++y7kcjmGDRtWrLypxjEkIiKq7KpC0qdcmpukpaWhc+fOqFevHmJiYpCZmYn09HStcXZCQkLQpk0bjBgxAsePH8fRo0cxatQodOvWTWz9M2TIEDg6OmL48OE4deoU/vnnH7z33nsYMWKE2LVr7NixiIuLw5w5c5CUlITp06fjyJEjGDNmTHmc2hMTBAGHL3AQZyKiysrNzQ1Lly7FpUuXTB0KAMDFxQUzZ840dRhkAmq1Gm3atMFnn32G1q1b44033kBkZKTeWUujo6Ph4OAgLuXdnZ2IiKiq0CR9DC3mrlySPvHx8UhJScG2bdtQt25duLu7i4t4YKkUv//+O5ycnNCpUyf07NkTjRs3xtq1a8UydnZ2iI+Px507d9C2bVu88sor6N27N+bPny+WCQoKwpo1a7BkyRK0bNkSP//8MzZt2oRmzZqVx6k9sbQ795GenQcLqQStPGuaOhwiInoC4eHhegeFrmgTJkwoNpEBVQ/u7u5o0qSJ1rrGjRvrTUhOnjwZWVlZ4nL58uWKCJOIiKjSUxUWQFWYb2Ap3cyzplAus3dFRESUOPYPAHh4eGDDhg0GyzRq1Ajx8fEGywwYMAADBgwoTYgV7siDrl1N6zjARl4hk6YRERFRFRQcHIzk5GStdWfOnBG7HT7OFOMYEhERVQVVoXsXsw8V5PCDQZzbebFrFxERET258ePHIygoCJ999hkGDhyIQ4cOYcmSJcUmzSAiIqKnUxWSPpxCqoKISR8fDuJMRERET65du3b45Zdf8OOPP6JZs2aYOXMm5s2bh1deecXUoREREVUtKhUEAwtU5p/0YUufCpBXoML9gqKboS1b+hDRU1Cr1aYOgYhKUBG/p7169UKvXr3K/ThERETVmVpVAIlEf1sZQVVNx/QhbVaWMux+vyuuZ+fB0Y596omo9ORyOaRSKa5evQpnZ2fI5XJIJBJTh0VEjxAEAfn5+cjMzIRUKoVcLjd1SERERPQUBLUKqOTdu5j0qUAu9lamDoGIKimpVAofHx9cu3YNV69eNXU4RGSAjY0N6tWrB6mUveiJiIgqM0GtBgy04BUqQSt8Jn2IiCoJuVyOevXqobCwEKpK0H+YqDqSyWSwsLBgSzwiIqIqgC19iIioQkkkElhaWsLS0tLUoRARERERVWmqwnxIoP+LHKEwvwKjeTJM+hARERERERERPUZQqQGJgZY+KnbvIiIiIiIiIiKqdAShhO5dArt3ERERERERERFVOoJaZbilD8f0qTwEQQAAZGdnmzgSIiIiqqo0nzM0nztMQXPsnDzzH4fAVNT590wdglm7W1Bg6hDMmpy/Wwbl5uSYOgSzxr8/+qnz7wOo2PdQtTIXkBn4nVaZ/99DiWDKTx1m5MqVK/D09DR1GERERFQNXL58GXXr1jXJsfmZh4iIKrOKeA/Ny8uDj48P0tPTSyzr5uaGCxcuwMrKqlxjelJM+jygVqtx9epV1KhRo1ymWc3OzoanpycuX74Me3v7Mq+/suH10MbrURyviTZeD228Htp4PbSZ8/UQBAE5OTnw8PCAVCo1SQzl/ZmntMz59TIHvD6G8foYxutjGK+PYeZ2fSr6PTQvLw/5+SW33JPL5Wab8AHYvUsklUor5Bs3e3t7s/iFMRe8Htp4PYrjNdHG66GN10Mbr4c2c70eDg4OJj1+RX3mKS1zfb3MBa+PYbw+hvH6GMbrY5g5XZ+KfA+1srIy62SOsUzzFRMREREREREREZUrJn2IiIiIiIiIiKogJn0qiEKhwLRp06BQKEwdilng9dDG61Ecr4k2Xg9tvB7aeD208XpULny9DOP1MYzXxzBeH8N4fQzj9akaOJAzEREREREREVEVxJY+RERERERERERVEJM+RERERERERERVEJM+RERERERERERVEJM+RERERERERERVEJM+ZWjhwoXw9vaGlZUVAgMDcejQIYPl169fj0aNGsHKygrNmzfHn3/+WUGRlq/o6Gi0a9cONWrUgIuLC8LDw5GcnGxwnxUrVkAikWgtVlZWFRRx+Zs+fXqx82vUqJHBfarq/QEA3t7exa6HRCLB6NGjdZavavfHP//8g969e8PDwwMSiQSbNm3S2i4IAqZOnQp3d3dYW1sjJCQEZ8+eLbHe0v4NMheGrkdBQQE++OADNG/eHLa2tvDw8MDQoUNx9epVg3U+ye+cuSjp/oiIiCh2bmFhYSXWW1nvD6Dka6Lr74lEIsHs2bP11lmZ75GqpjLfm+WppPu+unuSz5vVSWxsLFq0aAF7e3vY29ujQ4cO+Ouvv0wdlln6/PPPIZFIMG7cOFOHYjb4Hlm1MOlTRtatW4eoqChMmzYNx44dQ8uWLREaGorr16/rLL9v3z4MHjwYI0eOxPHjxxEeHo7w8HAkJiZWcORlb9euXRg9ejQOHDiA+Ph4FBQUoHv37sjNzTW4n729Pa5duyYuqampFRRxxWjatKnW+e3Zs0dv2ap8fwDA4cOHta5FfHw8AGDAgAF696lK90dubi5atmyJhQsX6tz+xRdfYP78+Vi0aBEOHjwIW1tbhIaGIi8vT2+dpf0bZE4MXY979+7h2LFj+Oijj3Ds2DFs3LgRycnJ6NOnT4n1luZ3zpyUdH8AQFhYmNa5/fjjjwbrrMz3B1DyNXn0Wly7dg3Lli2DRCLBSy+9ZLDeynqPVCWV/d4sT8b8LajOnvTzZnVRt25dfP755zh69CiOHDmCrl27om/fvvjvv/9MHZpZOXz4MBYvXowWLVqYOhSzw/fIKkSgMtG+fXth9OjR4nOVSiV4eHgI0dHROssPHDhQ6Nmzp9a6wMBAYdSoUeUapylcv35dACDs2rVLb5nly5cLDg4OFRdUBZs2bZrQsmVLo8tXp/tDEARh7Nixgp+fn6BWq3Vur8r3BwDhl19+EZ+r1WrBzc1NmD17trjuzp07gkKhEH788Ue99ZT2b5C5evx66HLo0CEBgJCamqq3TGl/58yVrusxbNgwoW/fvqWqp6rcH4Jg3D3St29foWvXrgbLVJV7pLKrSvdmeTLmvq/ujPm8Wd3VqlVL+O6770wdhtnIyckR6tevL8THxwvPPfecMHbsWFOHZDb4Hlm1sKVPGcjPz8fRo0cREhIirpNKpQgJCcH+/ft17rN//36t8gAQGhqqt3xllpWVBQCoXbu2wXJ3796Fl5cXPD09q+Q3EWfPnoWHhwd8fX3xyiuv4NKlS3rLVqf7Iz8/Hz/88ANGjBgBiUSit1xVvz80Lly4gPT0dK3X38HBAYGBgXpf/yf5G1SZZWVlQSKRoGbNmgbLleZ3rrLZuXMnXFxc0LBhQ7z11lu4efOm3rLV7f7IyMjA5s2bMXLkyBLLVuV7pDKobvcmlS9jP29WRyqVCmvXrkVubi46dOhg6nDMxujRo9GzZ89in7mpCN8jqw4mfcrAjRs3oFKp4OrqqrXe1dUV6enpOvdJT08vVfnKSq1WY9y4cQgODkazZs30lmvYsCGWLVuGX3/9FT/88APUajWCgoJw5cqVCoy2/AQGBmLFihWIi4tDbGwsLly4gI4dOyInJ0dn+epyfwDApk2bcOfOHUREROgtU9Xvj0dpXuPSvP5P8jeossrLy8MHH3yAwYMHw97eXm+50v7OVSZhYWFYtWoVtm3bhlmzZmHXrl3o0aMHVCqVzvLV6f4AgJUrV6JGjRro16+fwXJV+R6pLKrbvUnlx9jPm9XNyZMnYWdnB4VCgTfffBO//PILmjRpYuqwzMLatWtx7NgxREdHmzoUs8T3yKrFwtQBUNU2evRoJCYmltgHtEOHDlrfPAQFBaFx48ZYvHgxZs6cWd5hlrsePXqIj1u0aIHAwEB4eXnhp59+Murb6Kps6dKl6NGjBzw8PPSWqer3BxmnoKAAAwcOhCAIiI2NNVi2Kv/Ovfzyy+Lj5s2bo0WLFvDz88POnTvx/PPPmzAy87Bs2TK88sorJQ72XpXvEaLqxtjPm9VNw4YNkZCQgKysLPz8888YNmwYdu3aVe0TP5cvX8bYsWMRHx9fqScGKU98j6xa2NKnDDg5OUEmkyEjI0NrfUZGBtzc3HTu4+bmVqryldGYMWPwxx9/YMeOHahbt26p9rW0tETr1q2RkpJSTtGZVs2aNdGgQQO951cd7g8ASE1NxdatW/H666+Xar+qfH9oXuPSvP5P8jeostEkfFJTUxEfH2+wlY8u/2/v7oOiqt44gH/3B6y8WauyISqv4RKZEkK86aRJIqYUZULlYJipKWjMQAWVoOUINebMCuUUk9AfJeKk0wsKJAE1gIjotqgoRAtMMxgjhoAa5nJ+fzjecUV8CeTl8v3M3Bn2nnvPPefw3Lu7z9xz907n3Ejm5uYGOzu7Pvs2GuLjul9//RVnzpy552sKIO8YGa5GU2zS/dOfz5typ1Qq4e7uDh8fH6SmpsLLywtarXaomzXkqqur0draipkzZ8Lc3Bzm5uYoLS3Fjh07YG5u3ueds6MZ3yNHNiZ9BoBSqYSPjw+KioqkdT09PSgqKupz3mxgYKDJ9gDw008/yWKerRACsbGx2L9/P37++We4urrecx1GoxE1NTVwcHC4Dy0cel1dXWhoaOizf3KOjxtlZWXhoYcewqJFi+5pPznHh6urKyZOnGjy/+/o6EBlZWWf////cg0aSa4nfOrr63Ho0CFMmDDhnuu40zk3kv35559oa2vrs29yj48bffnll/Dx8YGXl9c97yvnGBmuRlNs0sAbiM+bo01PTw+6u7uHuhlDLjg4GDU1NdDpdNLi6+uLZcuWQafTwczMbKibOOzwPXKEG+IHSctGTk6OGDNmjMjOzhanTp0Sq1evFiqVSpw9e1YIIURUVJRITEyUti8rKxPm5uZi27Ztora2VqSkpAgLCwtRU1MzVF0YMGvXrhUPPvigKCkpES0tLdJy6dIlaZubx2Pz5s2ioKBANDQ0iOrqavHSSy8JS0tLcfLkyaHowoCLj48XJSUlwmAwiLKyMvH0008LOzs70draKoQYXfFxndFoFE5OTuKdd97pVSb3+Ojs7BTHjx8Xx48fFwDE9u3bxfHjx6Vfo0pLSxMqlUp89913Qq/Xi+eee064urqKy5cvS3XMmzdPpKenS6/vdA0azm43HleuXBHPPvusmDJlitDpdCbXlO7ubqmOm8fjTufccHa78ejs7BQJCQmioqJCGAwGcejQITFz5kwxdepU8c8//0h1yCk+hLjzOSOEEBcuXBDW1tZi586dt6xDTjEiJyM9Nu+nu4n70exuPm+OZomJiaK0tFQYDAah1+tFYmKiUCgUorCwcKibNizx17tM8T1SXpj0GUDp6enCyclJKJVK4efnJw4fPiyVzZkzR7z66qsm2+fm5gqNRiOUSqWYNm2ayMvLG+QW3x8AbrlkZWVJ29w8HnFxcdLY2dvbi2eeeUYcO3Zs8Bt/n0RGRgoHBwehVCrF5MmTRWRkpPj999+l8tEUH9cVFBQIAOLMmTO9yuQeH8XFxbc8R673uaenR2zcuFHY29uLMWPGiODg4F7j5OzsLFJSUkzW3e4aNJzdbjwMBkOf15Ti4mKpjpvH407n3HB2u/G4dOmSCAkJEWq1WlhYWAhnZ2exatWqXl+Q5RQfQtz5nBFCiM8//1xYWVmJ9vb2W9YhpxiRm5Ecm/fT3cT9aHY3nzdHs9dee004OzsLpVIp1Gq1CA4OZsLnNpj0McX3SHlRCCHEgN8+REREREREREREQ4rP9CEiIiIiIiIikiEmfYiIiIiIiIiIZIhJHyIiIiIiIiIiGWLSh4iIiIiIiIhIhpj0ISIiIiIiIiKSISZ9iIiIiIiIiIhkiEkfIiIiIiIiIiIZYtKHiIiIiIiIiEiGmPQhIiIiIiJZ27RpEx5//PEBrTM7Oxsqleq220RHR2PTpk0DetwblZSUQKFQoL29/b4dg4hGNiZ9iIiIiIiI6Jbmzp2LuLi4oW4GEf1HTPoQEREREREREckQkz5ERERERDRo5s6di/Xr1yMuLg7jxo2Dvb09MjMzcfHiRaxYsQJjx46Fu7s7Dh48KO1jNBqxcuVKuLq6wsrKCh4eHtBqtSb1lpSUwM/PDzY2NlCpVJg1axaamppu2YaGhga4ubkhNjYWQgh0d3cjISEBkydPho2NDfz9/VFSUmKyT3Z2NpycnGBtbY3nn38ebW1t/R6LK1euIDY2Fg4ODrC0tISzszNSU1MBAI2NjVAoFNDpdNL27e3tUCgUvdpWVlaGGTNmwNLSEgEBAThx4oRU1tTUhLCwMIwbNw42NjaYNm0aDhw4IJWfOHECCxcuhK2tLezt7REVFYVz584BuDY9rbS0FFqtFgqFAgqFAo2Njf3uNxENHiZ9iIiIiIhoUH311Vews7PDkSNHsH79eqxduxZLly5FUFAQjh07hpCQEERFReHSpUsAgJ6eHkyZMgV79+7FqVOnkJycjHfffRe5ubkAgKtXryI8PBxz5syBXq9HRUUFVq9eDYVC0evYer0es2fPxiuvvIKMjAwoFArExsaioqICOTk50Ov1WLp0KUJDQ1FfXw8AqKysxMqVKxEbGwudToennnoKW7Zs6fc47NixA99//z1yc3Nx5swZfP3113Bxcbnnet566y188sknqKqqglqtRlhYGP79918AQExMDLq7u/HLL7+gpqYGH330EWxtbQFcSyLNmzcP3t7eOHr0KPLz8/HXX38hIiICAKDVahEYGIhVq1ahpaUFLS0tcHR07He/iWjwmA91A4iIiIiIaHTx8vLC+++/DwBISkpCWloa7OzssGrVKgBAcnIydu7cCb1ej4CAAFhYWGDz5s3S/q6urqioqEBubi4iIiLQ0dGBCxcuYPHixXj44YcBAJ6enr2OW15ejsWLF+O9995DfHw8AKC5uRlZWVlobm7GpEmTAAAJCQnIz89HVlYWtm7dCq1Wi9DQULz99tsAAI1Gg/LycuTn5/drHJqbmzF16lTMnj0bCoUCzs7O/6melJQUzJ8/H8C1hNqUKVOwf/9+REREoLm5GUuWLMH06dMBAG5ubtJ+GRkZ8Pb2xtatW6V1u3btgqOjI+rq6qDRaKBUKmFtbY2JEyf2o6dENFR4pw8REREREQ2qGTNmSH+bmZlhwoQJUlICAOzt7QEAra2t0rpPP/0UPj4+UKvVsLW1xRdffIHm5mYAwPjx4xEdHY0FCxYgLCwMWq0WLS0tJsdsbm7G/PnzkZycLCV8AKCmpgZGoxEajQa2trbSUlpaioaGBgBAbW0t/P39TeoLDAzs9zhER0dDp9PBw8MDGzZsQGFh4X+q58a2jB8/Hh4eHqitrQUAbNiwAVu2bMGsWbOQkpICvV4vbfvbb7+huLjYpN+PPPIIAEh9J6KRjUkfIiIiIiIaVBYWFiavFQqFybrr07J6enoAADk5OUhISMDKlStRWFgInU6HFStW4MqVK9I+WVlZqKioQFBQEPbs2QONRoPDhw9L5Wq1Gn5+fti9ezc6Ojqk9V1dXTAzM0N1dTV0Op201NbW9npu0ECbOXMmDAYDPvzwQ1y+fBkRERF48cUXAQD/+9+1r2pCCGn761O27sXrr7+OP/74A1FRUaipqYGvry/S09MBXOt7WFiYSb91Oh3q6+vx5JNPDkAPiWioMelDRERERETDWllZGYKCgrBu3Tp4e3vD3d39lneieHt7IykpCeXl5XjsscfwzTffSGVWVlb48ccfYWlpiQULFqCzs1Pax2g0orW1Fe7u7ibL9SlNnp6eqKysNDnWjQml/njggQcQGRmJzMxM7NmzB99++y3Onz8PtVoNACZ3LN34UOe+2vL333+jrq7OZHqbo6Mj3njjDezbtw/x8fHIzMwEcC3pdPLkSbi4uPTqu42NDQBAqVTCaDQOSF+JaPAx6UNERERERMPa1KlTcfToURQUFKCurg4bN25EVVWVVG4wGJCUlISKigo0NTWhsLAQ9fX1vZ7rY2Njg7y8PJibm2PhwoXo6uqCRqPBsmXLsHz5cuzbtw8GgwFHjhxBamoq8vLyAFybIpWfn49t27ahvr4eGRkZ/X6eDwBs374du3fvxunTp1FXV4e9e/di4sSJUKlUsLKyQkBAANLS0lBbW4vS0lLpOUg3++CDD1BUVIQTJ04gOjoadnZ2CA8PBwDExcWhoKAABoMBx44dQ3FxsTQuMTExOH/+PF5++WVUVVWhoaEBBQUFWLFihZTocXFxQWVlJRobG3Hu3Dnp7isiGhmY9CEiIiIiomFtzZo1eOGFFxAZGQl/f3+0tbVh3bp1Urm1tTVOnz6NJUuWQKPRYPXq1YiJicGaNWt61WVra4uDBw9CCIFFixbh4sWLyMrKwvLlyxEfHw8PDw+Eh4ejqqoKTk5OAICAgABkZmZCq9XCy8sLhYWFfSZg7sXYsWPx8ccfw9fXF0888QQaGxtx4MABaWrXrl27cPXqVfj4+CAuLq7PXwxLS0vDm2++CR8fH5w9exY//PADlEolgGs/dx8TEwNPT0+EhoZCo9Hgs88+AwBMmjQJZWVlMBqNCAkJwfTp0xEXFweVSiW1ISEhAWZmZnj00UehVqul5ygR0cigEDdOEiUiIiIiIqIBER0dDRcXF2zatGmom0JEoxTv9CEiIiIiIiIikiEmfYiIiIiIiIiIZMh8qBtAREREREQkR+Hh4VCpVEPdDCIaxfhMHyIiIiIiIiIiGeL0LiIiIiIiIiIiGWLSh4iIiIiIiIhIhpj0ISIiIiIiIiKSISZ9iIiIiIiIiIhkiEkfIiIiIiIiIiIZYtKHiIiIiIiIiEiGmPQhIiIiIiIiIpIhJn2IiIiIiIiIiGTo/+dzs1q97bsTAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Strategy: mask the last 3 dimensions for the first 250 samples\n", "# Then the \"subset\" training uses only the first 7 dims for those samples\n", "# and all 10 dims for the remaining 250\n", "\n", "num_iters = 20\n", "\n", "\n", "# Let's mask dims 7,8,9 for all samples → equivalent to training on dims 0-6 only\n", "mask_partial = jnp.ones((N, D), dtype=bool)\n", "mask_partial = mask_partial.at[:, 7:].set(False)\n", "\n", "# Subset: only use first 7 dimensions\n", "Y_subset = Y_fa[:, :7]\n", "Y_masked = Y_fa * mask_partial\n", "\n", "fa_model_full = BFA(K, D, use_ard=True, use_px=True)\n", "fa_model_sub = BFA(K, 7, use_ard=True, use_px=True)\n", "\n", "# --- EM with mask ---\n", "key, subkey = jr.split(key)\n", "init_full, props_full = fa_model_full.initialize(subkey, variational_bayes=False)\n", "\n", "key, subkey = jr.split(key)\n", "params_masked, elbos_masked = fa_model_full.fit_em(\n", " init_full, props_full, Y_masked, subkey, mask=mask_partial, num_iters=num_iters\n", ")\n", "\n", "# --- EM with subset ---\n", "key, subkey = jr.split(key)\n", "init_sub, props_sub = fa_model_sub.initialize(subkey, variational_bayes=False)\n", "\n", "key, subkey = jr.split(key)\n", "params_subset, elbos_subset = fa_model_sub.fit_em(\n", " init_sub, props_sub, Y_subset, subkey, num_iters=num_iters\n", ")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 3))\n", "axes[0].plot(elbos_masked, label=\"masked (D=10, 3 masked)\")\n", "axes[0].plot(elbos_subset, label=\"subset (D=7)\")\n", "axes[0].set_title(\"EM: ELBO convergence\")\n", "axes[0].legend()\n", "\n", "# Compare learned emission weights for the observed dims\n", "H_masked = params_masked.emissions.weights[:7, :K]\n", "H_subset = params_subset.emissions.weights[:, :K]\n", "axes[1].set_title(\"Emission weights comparison (first 7 dims)\")\n", "im = axes[1].imshow(jnp.concatenate([H_masked, H_subset], axis=1), aspect='auto', cmap='RdBu_r')\n", "axes[1].set_xlabel(\"masked | subset\")\n", "plt.colorbar(im, ax=axes[1])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "mmacqyddnop", "metadata": {}, "source": [ "## 1.3 FA with random masking (30% missing)\n", "\n", "Train FA with all three methods using random per-sample masking." ] }, { "cell_type": "code", "execution_count": 8, "id": "stlxzhzqeld", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "use_bmr = True\n", "\n", "fa_model = BFA(K, D, use_bmr=use_bmr)\n", "\n", "# EM\n", "key, subkey = jr.split(key)\n", "init_em, props_em = fa_model.initialize(subkey, variational_bayes=False)\n", "key, subkey = jr.split(key)\n", "params_em_masked, elbos_em_masked = fa_model.fit_em(\n", " init_em, props_em, Y_fa, subkey, mask=mask_fa, num_iters=num_iters, bmr_start_iter=8\n", ")\n", "\n", "fa_model = BFA(K, D, use_bmr=use_bmr)\n", "\n", "# VBEM\n", "key, subkey = jr.split(key)\n", "init_vb, props_vb = fa_model.initialize(subkey, variational_bayes=True)\n", "key, subkey = jr.split(key)\n", "params_vb_masked, elbos_vb_masked = fa_model.fit_vbem(\n", " init_vb, props_vb, Y_fa, subkey, mask=mask_fa, num_iters=num_iters, bmr_start_iter=8\n", ")\n", "\n", "fa_model = BFA(K, D, use_bmr=use_bmr)\n", "\n", "# Gibbs\n", "key, subkey = jr.split(key)\n", "init_gibbs, props_gibbs = fa_model.initialize(subkey)\n", "key, subkey = jr.split(key)\n", "params_gibbs_masked, elbos_gibbs_masked = fa_model.fit_blocked_gibbs(\n", " subkey, init_gibbs, props_gibbs, sample_size=20, emissions=Y_fa, mask=mask_fa, burn_in=1\n", ")\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 3), sharey=True)\n", "axes[0].plot(elbos_em_masked)\n", "axes[0].set_title(\"EM (30% masked)\")\n", "axes[1].plot(elbos_vb_masked)\n", "axes[1].set_title(\"VBEM (30% masked)\")\n", "axes[2].plot(elbos_gibbs_masked)\n", "axes[2].set_title(\"Gibbs (30% masked)\")\n", "for ax in axes:\n", " ax.set_xlabel(\"iteration\")\n", " ax.set_ylabel(\"ELBO\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "fz39a7olndr", "metadata": {}, "source": [ "# Part 2: Dynamic Factor Analysis (DFA)\n", "\n", "Generate synthetic DFA time series data." ] }, { "cell_type": "code", "execution_count": 9, "id": "cct78qjasip", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DFA data shape: (200, 10)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "key = jr.PRNGKey(42)\n", "K_dfa = 2 # latent factors\n", "D_dfa = 10 # observation dimensions\n", "T = 200 # timesteps\n", "\n", "# True DFA parameters\n", "A_true = jnp.array([[0.9, 0.0], [0.0, 0.85]])\n", "Q_true = jnp.eye(K_dfa)\n", "\n", "key, subkey, subkey2 = jr.split(key, 3)\n", "C_true_dfa = jr.normal(subkey, (D_dfa, K_dfa)) * jr.bernoulli(subkey2, p=0.3, shape=(D_dfa, K_dfa))\n", "\n", "key, subkey = jr.split(key)\n", "R_true_dfa = jr.uniform(subkey, (D_dfa,), minval=0.3, maxval=1.0)\n", "\n", "# Generate latent states and observations\n", "z = jnp.zeros((T, K_dfa))\n", "Y_dfa = jnp.zeros((T, D_dfa))\n", "\n", "key, subkey1, subkey2 = jr.split(key, 3)\n", "z_curr = jr.normal(subkey1, (K_dfa,))\n", "z = z.at[0].set(z_curr)\n", "Y_dfa = Y_dfa.at[0].set(C_true_dfa @ z_curr + jr.normal(subkey2, (D_dfa,)) * jnp.sqrt(R_true_dfa))\n", "\n", "for t in range(1, T):\n", " key, subkey1, subkey2 = jr.split(key, 3)\n", " z_curr = A_true @ z_curr + jr.normal(subkey1, (K_dfa,))\n", " z = z.at[t].set(z_curr)\n", " Y_dfa = Y_dfa.at[t].set(C_true_dfa @ z_curr + jr.normal(subkey2, (D_dfa,)) * jnp.sqrt(R_true_dfa))\n", "\n", "print(f\"DFA data shape: {Y_dfa.shape}\")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 3))\n", "axes[0].plot(z)\n", "axes[0].set_title(\"Latent states\")\n", "sns.heatmap(Y_dfa.T, ax=axes[1], cbar=True)\n", "axes[1].set_title(\"Observations\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "75inhhzeq5u", "metadata": {}, "source": [ "## 2.1 DFA regression test: mask=None vs mask=all-True" ] }, { "cell_type": "code", "execution_count": 10, "id": "qswn9xrtihf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EM: max ELBO diff = 0.000732\n", "VBEM: max ELBO diff = 19.935547\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_iters_dfa = 20\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "all_true_mask = jnp.ones((T, D_dfa), dtype=bool)\n", "\n", "# --- EM ---\n", "key, subkey = jr.split(key)\n", "init_em, props_em = dfa_model.initialize(subkey, variational_bayes=False)\n", "\n", "key, subkey = jr.split(key)\n", "p_em_none, e_em_none = dfa_model.fit_em(init_em, props_em, Y_dfa, subkey, num_iters=num_iters_dfa)\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "p_em_all, e_em_all = dfa_model.fit_em(init_em, props_em, Y_dfa, subkey, mask=all_true_mask, num_iters=num_iters_dfa)\n", "\n", "print(f\"EM: max ELBO diff = {jnp.max(jnp.abs(e_em_none - e_em_all)):.6f}\")\n", "\n", "# --- VBEM ---\n", "key, subkey = jr.split(key)\n", "init_vb, props_vb = dfa_model.initialize(subkey, variational_bayes=True)\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "key, subkey = jr.split(key)\n", "p_vb_none, e_vb_none = dfa_model.fit_vbem(init_vb, props_vb, Y_dfa, subkey, num_iters=num_iters_dfa)\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "p_vb_all, e_vb_all = dfa_model.fit_vbem(init_vb, props_vb, Y_dfa, subkey, mask=all_true_mask, num_iters=num_iters_dfa)\n", "\n", "print(f\"VBEM: max ELBO diff = {jnp.max(jnp.abs(e_vb_none - e_vb_all)):.6f}\")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 3))\n", "axes[0].plot(e_em_none, label=\"no mask\")\n", "axes[0].plot(e_em_all, '--', label=\"all-True\")\n", "axes[0].set_title(\"DFA EM regression\")\n", "axes[0].legend()\n", "\n", "axes[1].plot(e_vb_none, label=\"no mask\")\n", "axes[1].plot(e_vb_all, '--', label=\"all-True\")\n", "axes[1].set_title(\"DFA VBEM regression\")\n", "axes[1].legend()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "8mdh2i7o80y", "metadata": {}, "source": [ "## 2.2 DFA with random masking (70% missing)\n", "\n", "Train DFA with all three methods using random time-varying masking." ] }, { "cell_type": "code", "execution_count": 11, "id": "7xk3z5evu8q", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DFA mask shape: (200, 10), fraction observed: 0.30\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Random mask: 30% of entries missing\n", "key, subkey = jr.split(key)\n", "mask_dfa = jr.bernoulli(subkey, p=0.3, shape=(T, D_dfa))\n", "print(f\"DFA mask shape: {mask_dfa.shape}, fraction observed: {mask_dfa.mean():.2f}\")\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n", "ax.imshow(mask_dfa.T, aspect='auto', cmap='gray', interpolation='none')\n", "ax.set_xlabel(\"time\")\n", "ax.set_ylabel(\"dimension\")\n", "ax.set_title(\"Observation mask (white=observed, black=missing)\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 12, "id": "8v83xm3yd8r", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_iters_dfa = 50\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "\n", "# EM with mask\n", "key, subkey = jr.split(key)\n", "init_em, props_em = dfa_model.initialize(subkey, variational_bayes=False)\n", "key, subkey = jr.split(key)\n", "params_dfa_em, elbos_dfa_em = dfa_model.fit_em(\n", " init_em, props_em, Y_dfa, subkey, mask=mask_dfa, num_iters=num_iters_dfa, bmr_start_iter=8\n", ")\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "\n", "# VBEM with mask\n", "key, subkey = jr.split(key)\n", "init_vb, props_vb = dfa_model.initialize(subkey, variational_bayes=True)\n", "key, subkey = jr.split(key)\n", "params_dfa_vb, elbos_dfa_vb = dfa_model.fit_vbem(\n", " init_vb, props_vb, Y_dfa, subkey, mask=mask_dfa, num_iters=num_iters_dfa, bmr_start_iter=8\n", ")\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "\n", "# Gibbs with mask\n", "key, subkey = jr.split(key)\n", "init_gibbs, props_gibbs = dfa_model.initialize(subkey)\n", "key, subkey = jr.split(key)\n", "params_dfa_gibbs, elbos_dfa_gibbs = dfa_model.fit_blocked_gibbs(\n", " subkey, init_gibbs, props_gibbs, sample_size=num_iters_dfa + 1, emissions=Y_dfa, mask=mask_dfa, burn_in=1, bmr_start_iter=9\n", ")\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 3), sharey=True)\n", "axes[0].plot(elbos_dfa_em)\n", "axes[0].set_title(\"DFA EM (70% masked)\")\n", "axes[1].plot(elbos_dfa_vb)\n", "axes[1].set_title(\"DFA VBEM (70% masked)\")\n", "axes[2].plot(elbos_dfa_gibbs)\n", "axes[2].set_title(\"DFA Gibbs (70% masked)\")\n", "for ax in axes:\n", " ax.set_xlabel(\"iteration\")\n", " ax.set_ylabel(\"ELBO\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "joena5mvekr", "metadata": {}, "source": [ "## 2.3 DFA with partial time-varying masking\n", "\n", "First half of time: only dims 0-4 observed. Second half: only dims 5-9 observed.\n", "This tests that the model can maintain temporal continuity through the latent states even when observation dimensions change completely over time." ] }, { "cell_type": "code", "execution_count": 13, "id": "clf2kwontnm", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Partial time-varying mask: first half dims 0-4, second half dims 5-9\n", "mask_partial_tv = jnp.zeros((T, D_dfa), dtype=bool)\n", "mask_partial_tv = mask_partial_tv.at[:T//2, :5].set(True) # first half: dims 0-4\n", "mask_partial_tv = mask_partial_tv.at[T//2:, 5:].set(True) # second half: dims 5-9\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n", "ax.imshow(mask_partial_tv.T, aspect='auto', cmap='gray', interpolation='none')\n", "ax.set_xlabel(\"time\")\n", "ax.set_ylabel(\"dimension\")\n", "ax.set_title(\"Partial mask: dims 0-4 first half, dims 5-9 second half\")\n", "ax.axvline(T//2, color='red', linestyle='--', lw=2)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 14, "id": "gmsrz6lc7dd", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "\n", "# EM\n", "key, subkey = jr.split(key)\n", "init_em, props_em = dfa_model.initialize(subkey, variational_bayes=False)\n", "key, subkey = jr.split(key)\n", "params_ptv_em, elbos_ptv_em = dfa_model.fit_em(\n", " init_em, props_em, Y_dfa, subkey, mask=mask_partial_tv, num_iters=num_iters_dfa, bmr_start_iter=8\n", ")\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "\n", "# VBEM\n", "key, subkey = jr.split(key)\n", "init_vb, props_vb = dfa_model.initialize(subkey, variational_bayes=True)\n", "key, subkey = jr.split(key)\n", "params_ptv_vb, elbos_ptv_vb = dfa_model.fit_vbem(\n", " init_vb, props_vb, Y_dfa, subkey, mask=mask_partial_tv, num_iters=num_iters_dfa, bmr_start_iter=8\n", ")\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "\n", "# Gibbs\n", "key, subkey = jr.split(key)\n", "init_gibbs, props_gibbs = dfa_model.initialize(subkey)\n", "key, subkey = jr.split(key)\n", "params_ptv_gibbs, elbos_ptv_gibbs = dfa_model.fit_blocked_gibbs(\n", " subkey, init_gibbs, props_gibbs, sample_size=num_iters + 1, emissions=Y_dfa, mask=mask_partial_tv, burn_in=1, bmr_start_iter=8\n", ")\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 3), sharey=True)\n", "axes[0].plot(elbos_ptv_em)\n", "axes[0].set_title(\"EM (partial time-varying mask)\")\n", "axes[1].plot(elbos_ptv_vb)\n", "axes[1].set_title(\"VBEM (partial time-varying mask)\")\n", "axes[2].plot(elbos_ptv_gibbs)\n", "axes[2].set_title(\"Gibbs (partial time-varying mask)\")\n", "for ax in axes:\n", " ax.set_xlabel(\"iteration\")\n", " ax.set_ylabel(\"ELBO\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "i8gfumywsoe", "metadata": {}, "source": [ "## 2.4 Compare masked vs full DFA training\n", "\n", "Show that random masking degrades gracefully compared to full data." ] }, { "cell_type": "code", "execution_count": 15, "id": "bwjzfd8ajqn", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from dynamax.linear_gaussian_ssm import lgssm_smoother\n", "\n", "dfa_model = BDFA(K_dfa, D_dfa, use_bmr=True)\n", "\n", "# Train full model without mask for comparison\n", "key, subkey = jr.split(key)\n", "init_em_full, props_em_full = dfa_model.initialize(subkey, variational_bayes=True)\n", "key, subkey = jr.split(key)\n", "params_full, elbos_full = dfa_model.fit_vbem(\n", " init_em_full, props_em_full, Y_dfa, subkey, num_iters=num_iters_dfa, bmr_start_iter=8\n", ")\n", "\n", "fig, axes = plt.subplots(K_dfa, 1, figsize=(12, 3 * K_dfa), sharex=True)\n", "post_full = lgssm_smoother(params_full, Y_dfa)\n", "post_masked_em = lgssm_smoother(params_dfa_vb, Y_dfa)\n", "\n", "for i in range(K_dfa):\n", " axes[i].plot(z[:, i], '--k', alpha=0.5, label='true')\n", " axes[i].plot(post_full.smoothed_means[:, i], label='full data')\n", " axes[i].plot(post_masked_em.smoothed_means[:, i], label='70% masked')\n", " axes[i].set_ylabel(f'z_{i}')\n", " axes[i].legend()\n", "axes[-1].set_xlabel('time')\n", "fig.suptitle(\"Smoothed states: full data vs 70% masked (EM)\")\n", "plt.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "sppcax", "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }