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@rkube
Created August 24, 2022 17:15
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "06beeb51",
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "df82c87a",
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"# USe the D3D loader to fetch and prepare data\n",
"# https://github.com/PlasmaControl/d3d_loaders\n",
"sys.path.append(\"/home/rkube/repos/d3d_loaders\")\n",
"\n",
"from os.path import join\n",
"\n",
"import numpy as np\n",
"import torch\n",
"import torch.nn as nn\n",
"import torch.nn.functional as F\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from matplotlib.ticker import MultipleLocator\n",
"import logging"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "3a471c95",
"metadata": {},
"outputs": [],
"source": [
"from d3d_loaders.d3d_loaders import D3D_dataset"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "782efdc9",
"metadata": {},
"outputs": [],
"source": [
"from d3d_loaders.signal2d import signal_ece, signal_ae_prob"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1bc4610a",
"metadata": {},
"outputs": [],
"source": [
"# Set up a shot and define the time-interval for prediction\n",
"\n",
"shotnr = 172337\n",
"tstart = 110.0 # Time of first sample for upper triangularity is 100.0\n",
"tend = 1000.0\n",
"# Define re-sampling paramters\n",
"t_params = {\"tstart\": tstart, \"tend\": tend, \"tsample\": 1.0}\n",
"\n",
"device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "1e7629f4",
"metadata": {},
"outputs": [],
"source": [
"# Define ML Hyperparameters\n",
"batch_size = 64\n",
"lr = 1e-3\n",
"num_epochs = 100\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "868f7993",
"metadata": {},
"outputs": [],
"source": [
"# Create exhaustive list of predictors, as in https://doi.org/10.1088/1741-4326/abe08d\n",
"# In that paper, there are 5 profiles\n",
"# and 10 scalars defined\n",
"# We have 13-1 scalars\n",
"# 10 + neutronsrate + ae_prob + echpwrc - doutl (not available)\n",
"pred_list = [\"pinj\", # Injected power\n",
" \"tinj\", # Injected torque\n",
" \"neutronsrate\", # MEasured neutron rate\n",
" \"iptipp\", # Target current\n",
" \"dstdenp\", # Target density\n",
" \"doutu\", # Top triangularity\n",
" # \"doutl\", # Bottom triangularity not available\n",
" # \"elongm\", # Plasma elongation - data not available\n",
" #\"vout\", # Plasma volume - data not available\n",
" # \"ali\", # Internal inductance - THis data is just zero\n",
" # \"echpwrc\", # Total ECH power - No ECH in this show\n",
" \"dssdenest\", # Line-averaged density\n",
" \"ae_prob\"] # AE mode probability\n",
"\n",
"# Set the list of targets, see \n",
"targ_list = [\"ae_prob_delta\"]\n",
"\n",
"# Instantiate a dataset. For multiple shots, use https://pytorch.org/docs/stable/data.html#torch.utils.data.ConcatDataset\n",
"# At this stage, the data needs to be downloaded using https://github.com/PlasmaControl/d3d_loaders/blob/main/d3d_loaders/downloading.py\n",
"ds = D3D_dataset(shotnr, {\"tstart\": tstart, \"tend\": tend, \"tsample\": 1.0},\n",
" predictors=pred_list,\n",
" targets=targ_list,\n",
" shift_targets={\"ae_prob_delta\": 100.0},\n",
" datapath=\"/projects/EKOLEMEN/d3dloader/test\",\n",
" device=device)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "6bf126ec",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pinj, mean = 4.0873e+06, std = 2.492e+06\n",
"tinj, mean = 4.0873e+06, std = 2.492e+06\n",
"neut, mean = 1.6585e+14, std = 1.372e+14\n",
"iptipp, mean = 6.8616e+05, std = 1.355e+05\n",
"dstdenp, mean = 2.1020e+00, std = 6.856e-01\n",
"tri_u, mean = 1.4963e+00, std = 2.315e-02\n",
"dssdenest, mean = 1.3535e+00, std = 5.515e-01\n",
"ae_prob, mean = 1.3504e-01, std = 2.455e-01\n"
]
}
],
"source": [
"# Data in the dataset has been standardized, each channel individually to its mean and standard deviation. \n",
"# Print them to assure that none of them are zero. \n",
"for p in ds.predictors:\n",
" print(f\"{p}, mean = {ds.predictors[p].data_mean.item():6.4e}, std = {ds.predictors[p].data_std:6.3e}\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "b304791b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Predictor')"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot time-trae of the predictor\n",
"plt.plot(ds[:][0].cpu());\n",
"plt.xlabel(\"time / ms\")\n",
"plt.ylabel(\"Predictor\")"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "f95e98be",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot time trace of the target\n",
"plt.plot(ds[:][1].cpu());"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "43376da4",
"metadata": {},
"outputs": [],
"source": [
"# Set up train/validation split\n",
"\n",
"split = 0.8\n",
"num_samples = len(ds)\n",
"num_train = int(num_samples * split)\n",
"num_val = num_samples - num_train\n",
"\n",
"ds_train, ds_val = torch.utils.data.random_split(ds, [num_train, num_val])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "78d667f1",
"metadata": {},
"outputs": [],
"source": [
"# Instantiate training and validation loader\n",
"loader_train = torch.utils.data.DataLoader(ds_train, batch_size=batch_size, num_workers=0, shuffle=True)\n",
"loader_valid = torch.utils.data.DataLoader(ds_val, batch_size=batch_size, num_workers=0, shuffle=True)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "4410f740",
"metadata": {},
"outputs": [],
"source": [
"def make_pred_plots(ae_prob_dt_pred, ae_prob_dt_true, epoch):\n",
" \"\"\"Plots predicted vs true change in AE probability.\"\"\"\n",
" ax_dx, ax_dy = 0.15, 0.15\n",
"\n",
" fig_vs = plt.figure(figsize=(12, 6))\n",
" ax_list = []\n",
" # Plot\n",
" for i in range(5):\n",
" ax_list.append(fig_vs.add_axes([0.1 + i * ax_dx, 0.1, ax_dx, ax_dy]))\n",
" ax_list[i].plot(ae_prob_dt_pred[:, i].cpu(), ae_prob_dt_true[:, i].cpu(), '.', ms=1)\n",
" ax_list[i].set_xlim((0.0, 1.0))\n",
" ax_list[i].set_ylim((0.0, 1.0))\n",
"\n",
" # Pretty-fy\n",
" for i, ax in enumerate(ax_list):\n",
" ax.xaxis.set_major_locator(MultipleLocator(0.25))\n",
" ax.xaxis.set_minor_locator(MultipleLocator(0.05))\n",
" \n",
" ax.yaxis.set_major_locator(MultipleLocator(0.25))\n",
" ax.yaxis.set_minor_locator(MultipleLocator(0.05))\n",
" \n",
" ax.set_xlabel(\"predicted\")\n",
" ax.set_title(f\"AE mode {i}\")\n",
" \n",
" for ax in ax_list[1:4]:\n",
" ax.yaxis.set_ticklabels([])\n",
"\n",
" ax_list[0].set_ylabel(\"True\")\n",
" ax_list[4].yaxis.tick_right()\n",
"\n",
" fig_vs.text(0.5, 0.3, f\"epoch {epoch:03d}: d(Probability of AE modes) / dt\", ha=\"center\")\n",
"\n",
" return fig_vs"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "dfab9cda",
"metadata": {},
"outputs": [],
"source": [
"# Define a simple MLP model\n",
"class my_mlp(nn.Module):\n",
" \"\"\"MLP that maps final_output[0] to final_output[1].\"\"\"\n",
" def __init__(self, nlin=\"ReLU\", layer_sizes=[256, 256], dropout=0.0):\n",
" \"\"\"Initializes the MLP with non-linearity, layer sizes, and dropout\n",
" \n",
" args:\n",
" layer_sizes: list of ints, which define the hidden size. Must be at least 2.\n",
" dropout: Probability for dropout after each linear layer\n",
" \"\"\"\n",
" super(my_mlp, self).__init__()\n",
" \n",
" assert(len(layer_sizes) >= 2) # At least 2 hidden layers\n",
" self.dropout = dropout # Store droput parameter\n",
" if nlin == \"ReLU\": # Store nonlinear activation function. default to ReLU\n",
" self.act = nn.ReLU()\n",
" elif nlin == \"Sigmoid\":\n",
" self.act = nn.Sigmoid()\n",
" elif nlin == \"tanh\":\n",
" self.act = nn.tanh()\n",
" else: # Default to ReLU\n",
" self.act = nn.ReLU()\n",
"\n",
" # Create hidden layers\n",
" self.linears = nn.ModuleList([nn.Linear(layer_sizes[0], layer_sizes[1])] +\n",
" [nn.Linear(layer_sizes[l], layer_sizes[l + 1]) for l in range(1, len(layer_sizes) - 1)] +\n",
" [nn.Linear(layer_sizes[-1], 5)])\n",
"\n",
" def forward(self, x):\n",
" for i, l in enumerate(self.linears[:-1]):\n",
" x = l(x)\n",
" if self.dropout > 0:\n",
" x = F.dropout(x, p=self.dropout)\n",
" x = self.act(x)\n",
"\n",
" # Apply final layer without dropout\n",
" x = self.linears[-1](x)\n",
"\n",
" return x"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "cb4d5fc9",
"metadata": {},
"outputs": [],
"source": [
"# Instantiate the model\n",
"model = my_mlp(nlin=\"ReLU\", layer_sizes=[12, 256,1024, 1024, 32], dropout=0.1).to(device)\n",
"# Define a simple Mean-squared error loss function\n",
"loss_fn = nn.MSELoss()\n",
"# Set up optimizer\n",
"optimizer = torch.optim.Adam(model.parameters(), lr=lr)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "de7d8196",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epoch: 1, train loss : 0.01069, valid loss: 0.00632\n",
"epoch: 11, train loss : 0.00122, valid loss: 0.00094\n",
"epoch: 21, train loss : 0.00082, valid loss: 0.00084\n",
"epoch: 31, train loss : 0.00094, valid loss: 0.00059\n",
"epoch: 41, train loss : 0.00068, valid loss: 0.00065\n",
"epoch: 51, train loss : 0.00058, valid loss: 0.00062\n",
"epoch: 61, train loss : 0.00066, valid loss: 0.00058\n",
"epoch: 71, train loss : 0.00059, valid loss: 0.00062\n",
"epoch: 81, train loss : 0.00052, valid loss: 0.00043\n",
"epoch: 91, train loss : 0.00064, valid loss: 0.00068\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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NwzAMwzCM5CbWPms0e77nAOOryL8CZ1L3PsB03KVoRSQF+KObPxC4QUQGRtFOwzAMwzAMI3mZQwx91qg536q6mKqnGLoKeF4dluBMu9MRZ/WljapapKqngJfdsoZhGIZhGIZRp8TaZ43nPN+dgG2e79vdtFDp54TbiYhMx3kKoUWLFqP69+9f95YaCc3evXvZt88ZGC4imAaSE9OBYRowgtm8eTPdu3ePtxlGnFm2bFkpsM6TNEtVZ9VgF3XiswaIp/MtIdK0ivSQuCdvFkBOTo7m5eXVjXVGvSQnJwfTgGE6MEwDBpgODAcRWaeqOWezixBpNfZZA8TT+d5O5ZWVOuOsutQ4TLphGIZhGIZhxJo69VnjOdXg68At7gjSc4ESVd0JfAr0EZEeItIYuN4tGxYRmSwis0pKSqJvtZGQ5ObmMn36dEwDyY3pwDANGIYRgkwRmSUik2tZv858VojiIjsiMh+4CGgL7MZZtrQRgKrOFBHBWeFpPHAMuFVV89y6E3BWXUoBnlXVRyNp08JODHvFaIDpwDANGA6mAwNARJZVFXYSa581amEnqnpDNfkKfDtM3pvAm9GwyzAMwzAMwzACxNpnjWfMd53hvkaY3Lt373ibYsSJ3NxccnNz7VVzkmM6MEwDhmGEIFNEZgG5qpobb2OiFnYSDyzsxLBXjAaYDgzTgOFgOjCg+rCTWBPPAZeGYRiGYRiGkVSY820YhmEYhmEYMcJivo0GgcV5GmA6MEwDhlEVqkrhzsMM7JiBM4FH7fdTUFyCIAzMdvalqhTsKGHT3lJ6tm2BiOBXP5v3H2fC4A68sWoX5eXlLN96kA7pTejSOo1e7dPwq5/F6/exq+QYbVs0Ztm2w8y+eQSL1u6jZ9s0BnXKPCtbXSzmO1pYzLdh8X0GmA4M04DhYDqoTEFxCXe+uJynbhrJoOzMiOupKoXFh/GrH5/4UJQ75i4D4JlpOQzKzqSguIRbnlnK/qOn8AHNG6fgV+XEaT8Th2WRu3LXF/ab6hPK/F/0Q7u0asz2g6fIaJrKvG+ew+BOLWt7yIDFfBuGYRiGYRhxYGDHDJ66aSQDO2bUqF7hzsPcPjePac/lcfvcPARh9tRRzL5lFKqKqjKwYwZzbx3NiC6Z+IHSU+Wk+ISbz+vKiq0l3HJuV9KapFTabyjHG2DvkVPcfG4XmjVOQUKu4F6/iWrYiYiMB36LM/H4bFX9ZVD+fcAUjy0DgHaqekBENgNHgHKgrJrJ0S3sJMmxV80GmA4M04BhVIWIhO3xDhWSEkgbkJXOM1NzKnq+A6EmwT3pgzu35JXp53D3Kyu5pF87+mZl0j8rjbZpjfGX+xnWKYOhHZvx1IeVV2A/v0cm6U1SKD3l58OiQzRplMq1OV25bky3Gj8ohKHKsJNY+asV+4viCpcpwHrgUmA7zhKcN6hqYZjyk4F7VPXL7vfNQI6q7ou0TQs7MewVowGmA8M0YDiYDiInVEhKdWEqVcWQ+/1+FqzaiZYr331lZUV6RhMfh0/6K7438sHf7zwfX4qP/h3SWLBqJ73qLtYbqDrsJB7+ajTDTsYAG1W1SFVPAS8DV1VR/gZgfhTtMQzDMAzDMEIQKiQlOC0w0DLQcRvoSfc6yarKyq37ufqP7/Pf81fwVv6OSu0EHO8+bZsC0CTVR9H+o9z54nLW7i7lquGdGdy5ZZ053hEQc381ms53J2Cb5/t2N+0LiEhzYDzwN0+yAotEZJmITA/XiIhMF5E8Ecnbu3dvHZht1DdmzZpFTk4OOTk5mAaSF9OBYRo4Q7CTVF16JPupaV2jfhHKkfaGqRQUl1BYfJg7X1xO4c7D+P1+Xl+5A7/fcaZVldU7DpG7spgbZn9K/o5SABaudTqEUz2+9ITB7Xnzu+P43fXDmT/9XCYPza5VLHoNaBvwFd3N61fGxF/1Ek3nO9QjS7hf7GTgQ1U94Em7QFVHAlcA3xaRcaEqquosVc1R1Zx27dqdncVGvWT69Onk5eWRl5eHaSB5MR0YpoEzFO484yRFku7F61R5y3s/B8qUl5dTUFyC3+83x7yB4X3YKiw+zO1z8lBVnrppJAOy0pn53ibueXkFC1YWVzjmd8xdxs8WFHJhn9Zf2F9qijN0ctKQLFbtOML6Pcfo1T6NwZ1a4vP5vuD41zH7Ar6iu83y5MXEX/USTed7O9DF870zUBym7PUEdeGrarH7dw/wKs5rAcMwDMMwqiHcrBaRzHaxYNVO7vnzSmYu3kT/Dmnce3lf+ndIQ/3KvZf1YUBWOrn5xdw9fwWPLChkxgvLWLBqZ7VOvRE7avOWIvgtR+7KHdw+J4+CHSVs3HsERUFgUHYma3YdYc6Hm2neyEfelgNMnb2EfxYW06tNU0Z1zWBp0QEEaNvccTN9wMky5eZzu/KtcT15csoINu09wowXliWCZmLur0ZztpNPgT4i0gPYgWPwjcGFRCQTuBC4yZPWAvCp6hH382XAT8I1ZLOdGDbDgQGmA8M0ECAQLhBwqAID4qqb7aJgRwn+cj/3XNKL594vYlfJcd4t3MO2A0eZ9Z9NnCzzU1ZWDqr4gec/3spX+rRk6cZ93HNJL/p3SKvUnhEfAm8pIpnPOzBoEoU75y3nyRtHsHjjXuZ8sJlyhU37Snni7fU8MHFAhabUrzw4cQDbDh7jiUUbSPXB/71bVLHP7m2asf/4cfplZXJ8WwlXD+vIvLwddEhvwrfnr+Dey/vy+KL13De+XzRDTbxUNdtJzPzVinrRfEUkIhOA3+BM3fKsqj4qIjMAVHWmW2YaMF5Vr/fU64nz9ADOA8JLqvpode3ZbCeGjWw3wHRgmAYCVMxWMWUkCJWcYr/fz4L8nfRo25xB2Znk5hfz0D8KOHKijHsv78vM94o4fKKMSYM78GHRfo4cK6OMM+/og72HRgL3XNaX+Uu3MfPmUTVaxCVaJKsOarKSZUAjT04ZgYiwcc8RvvfnlXzvsj5c1LcDAzqms2an0/M9sGMGuSt38KPXCmkkysRhndh35DgLC/Zyfq9WLNtyiK+N7MSDE/px36sF/OprQ9iw7zjl5eXcOmcZz00bRUpKCgOy0lmz60jMHtKqW2Qn1v6qrXBpNCiS9UZrVMZ0YCSzBryOFzi9oKrKXfM+q9QT+vqKHdz95xW0bN6Ih68cxKML1lDmV24b250Z43oy870innhnPemNUzhd7ud4WdX+QmMftEprwgMTBzB5aHZC9Hw3ZB1U5WDXxPkOLhuYInDSkI74fE7YSP62A0yZvZQrh3Xg9fzdHDlRztierfig6CDNUqB/pwyKD53kgQn9mTys01nZEw1shUvDMAzDMKKGd2BkIMxkUHYmT00ZWRHPC9CjbXMym6Vy2wXdmDg4i2em5vDjyQO488JepKSk8K1xPZgyOpturZpU63inCvzv14fw7NTRCeN4N3SqGjwbycDacPh8PiYPzaZw52EKdjgx4B9s2M+Rk+XMW1rMaVcLY3q0olmjFC7u357Pth7m8PEyerRpUfGw5yXUTCrJTINwvkVksojMSvYYv2QmNzeX6dOnJ32cZ7JjOjBMA6EHVYoICNw177MKh2xwp5Y8cuVgXvh4G2t3lSI+4YlFG1iz6wiqysz/FPHi0mJW7ToWtq02zVMR4O6v9OHqEV3qdGEUo2qqGjxbVd4XBlbmFzPjxWWVZrFZveMQd8xdxm1zPiU3v5hze2SSKtBYQFCuGNSWPUdOcuJ0OZf0b8fY3q1omgL/Xrebm2d/wuodh2JwBmpEpojMcscIxp1qw07E+RVNAXqq6k9EpCuQpapLY2FgTbCwE6Mhv2I0Isd0YJgGvkioV/8BJ2v2VCdGO7CU+IJVO/nBn1dwwh96XwKM7dWG2beM4O21+yqFKCQSpoMv4l21UlW5bc6nTD2/G3de2Jvc/GK+9+eV/PraYfRql8Z76/fw/MdbuXxQe55fso0v9W7N+xsPVNrfLed24cVPttG8cSopAkdOlPGb64dz5fCQU2XHhUQLO4lktpMnAT/wZZwRnEdwJhcfHUW7DMMwDMOIMoOyM3lmWs6ZHlKF3Pxifr5gNR1aNmXLgROVyjdJFf7r4l5c2K89gzs5qxBeOSxxnCwjPIGHrwFZ6RW94oXFhykrV555fzPj+rTDX1ZOqg8+2bSHvM37+duy7SA+vjoim6yWzfjmBd15a/VuTpeXsbPkFJ1bNWXS0GxGdW9NzzYtACjaf5RJQzvG+WgTm0geU89R1W8DJwBU9SDQOKpW1RALOzHsVbMBpgPDNBBMpYVSQsQBqyqb9pbi9/vJzS/m1ueW8uCrq8ls3oQtB07Qr30L2rRozBWD2tGyaQqPfW0I3/5yX4Z0bmXhJVGmqrm6azOPd+D6r9l1pCL+emB2Bj+ePBBQ3lu3lwdeK+RkObyUt5MXPtnOsTI4dtrPR0UHufPC3jRq1IgrR3Smf3YrXlm2gz5ZmaSmpnLV8M4M6dKKIV1acdXwzon4FqTehZ18ApwPfKqqI0WkHbBIVUfEwsCaYGEnhr1iNMB0YJgGAhTsKOH2uXnMvmUUivL5vmNMHJJFwY4SXsnbyqY9pXy8uYQerRqz4+ApOmQ2ZlvJKdIaCWUIL98xhkaNUp2p4dzp5urTwLn6rANveEjwtI1V5XkJNfNN8Iwjq7cfYsrsT0jxOeMCJg3JolXTFJZtLWHF9hIu7NuOFdsOMWvq6Iq24j17SU2pj2Env8OZw7C9iDwKfB14MKpWGYZhGIYRkZMTXCbQK+ov9/PX5c4y8Zv2lfKLN9ehqmw7eJTf/3MDJ8rP7OPzg6cA2Fbi/L2wX3vuvKh35QGUAne9+FlEC7cYZ8/ZDKgM6KFw52FmvLiM+y7vx+Sh2WGd52aNU/h/4/uBQM+2aSzeuI+Pig7SvEkqeVsO8cCkAV8YwGsaqD3VvhdQ1XnAD4BfADuBq1X1L5HsXETGi8g6EdkoIj8MkX+RiJSIyAp3eyjSukH7sbCTJMdeNRtgOjAangaqmzIueLaKQJ075i7jxtlLeX7JVsb0bEW3Vs24dEBbpozuxB/+tRERSHF96hQfpAZ5Ax9/fgDxSSWHP5Kl6Y2qqUm4SFXT8wXnhQsvGpCVzg1juvDYW2srachbZmB2Bs9MG03vDhn8/M113PTMUp7/aDP3Xt6X+XeM4ZlpOQ1h+sgqw05i5a9W1Ikg7KRrqHRV3VpNvRRgPXApsB1n+c4bVLXQezDAvao6qaZ1Q2FhJ0Z9fsVo1B2mA6M+aiBUL3d1Pd8FxSXMeMHp2ezZrkVFb2TBjhI27D7Mim0lLCzYzdFT5ZSeLKNxinCqXGmW6qN5k1Smnd+Vrq1a4NdyfvxaAUM7t+Sakdn0y2rZIKYNTDQdRBouEgnBPdyB/Q7ISq9YudQnPmbMW8b3L+2DT3xMGurMShNOa7krd/DzN9dy/4QBTB5W7x3uCqoKO4mHvxpJRPwbwAL377tAEfBWBPXGABtVtUhVTwEvA1dFUO9s6xqGYRhGvSNUL3dVvZ+BeZpn3jSKnu1aVMzhLSKIT/j1uxsZ2b0Vz0zN4aU7RnPLuV1o1bwxE4d0YP4do/nx5IFc3K8Dv/rnBvpmteRnXxvGlkMn6J/disGdWzYYxyuRqMu3BwG9rN5xiE27j/C9S3vTv0MaufnFPJJbyB1zl+FXP/dd3g8U7vnzCnLzi4HQuhIRJg/rxDPTRjcoxzsCYu6vRhJ2MkRVh7p/+7gNfRCBQZ2AbZ7v2920YM4TkZUi8paIDKphXURkuojkiUje3r17IzDLaGjMmjWLnJwccnJyMA0kL6YDo75rIJxjFi5UoXDnYe6a9xmIM2Wgt25FuMHCtRTtP8qQzq14+MrBTL2gGyu3lbC15CRPLFqPiDj1sjOYPDSbmTeNsrCSKFKXKz0G9PL5vmPc80o+P12wljdW7+Lnb6wF4ObzuvL53qM8vnAdPhFaNm9MzzYtqgx7acArUbYN+IruNt2TFxN/1UskAy4roarLRSSSOb5DXbngq70c6KaqpSIyAfgH0CfCugF7ZgGzwAk7icAuo4Exffp0pk93fkc5OQkzmNmIMaYDo75rINwgNm9IgXfAnN/v597L+jIgK92ZNs4NPxjYMYM1u44wf+k2bjynK48uWEPPti0QEeYv3cYPrujPpCEd6dUu7QvhLDaILjEJFSYS0MuArHQAerRtzqDsTHq0ac7i9XuZ/f7nNE71MfWC7kwc2pFeHdJRv3L7nDxmTx3F4E4t43hEMWdfFbOdxMRf9VJtz7eIfM+z3SsiLwGRdClsB7p4vncGiitZp3pYVUvdz28CjUSkbSR1DcMwDCMZ8PaIB3rBC4sP883nl/PzN9dWLAefm1/Mt17IIze/mAFZ6cy8aRQX9mnvhKHgOOczbxrF5KHZ+Hy+htrD2SCpauCtiNCrXRoAa3YeQUSY+/EW/Aq3nNeN+Z9sY+3u0krXW0L6jElLzP3VSHq+0z2fy3Biv/8WQb1PgT4i0gPYAVwP3OgtICJZwG5VVREZg/MwsB84VF1dwzAMw6hP1HZuZG+PeEFxCTNeXMa9l/Vl9i2jKvV4P7ZwLZcMaM9jbzlhB5OHZgNUrGBp08PFh7qYEzv4Acy7v8Kdh7ltzqecOF1O00YpPDttNA9OHMDP31zHhX3bc1H/DhWhRM7MJjkWWlSZmPurVfZ8u6M401T1EXd7VFXnqeqJquoBqGoZ8B3gbWAN8IqqFojIDBGZ4Rb7OrBaRFbizCd+vTqErFuFnTbVYJLT0KYXM2qH6cBIZA1UN21gMKFivQOx3I8vXIf4pGJGkoEdM/jB+P78s2A3lwxsz2ML11YMvrQe7vhS0+seCu+DU+7KYm59dim5K3aweschBmSl88DEATRtnMIDEwcwMDuDSUOzuX9ifwZmZ1Tu8U5ePYSdajCW/mqAsFMNikiqqpaJyLuqekktDjTm2FSDRqJNK2XEB9OBkYgaqGkP6Orth7jl2aX8eNJAerZvAQqLN+7jxY8/59KBWYzs0pKe7dPYtKeU4pKTfGtcD94s2M3jC9dx3/h+Vc7NXN9WKKwtiaCDujjXgX2gcNucpRw9WU7jVB8iwvO3jWFgdkalNrxTGnrHAjTka10VVU01GA+qCjtZCowEVojI68BfgKOBTFX9e5RtMwzDMIwGQW0csE37Sjl47DQPvFZAoxQ4XaYcO1XOBX1a88KSbTy/ZBtNU32cKPO7bfjp2iaNJ6eMYHCnqqcKDDWI04gOkYb7BN50oFTMYANOqNHG3Ud4ZEEhP5rYn6nndee5jz7nisEdWbh6F4p+oQ1vmIpd68Qjkpjv1jhxLV+mQhIokDDOt/saYXLv3r3jbYoRJ3Jzc8nNzU3IV81G7DAdGImqgUgcIFWlsPiwM383Ss82Lfj+pb155oPN3HZBd15YspWL+rdjyca9tGiSwqnT5Zwo8zM0O4384lJ2lZzgN+9u4tfXDWNI51ZV2mOrVSYehTsPc/vcPE6c9iNazpXDOzOiSwY/fWMd5aqUHC/jwX8Ukt40lVvH9mD+J9t4cPLAkHryOuN2rQE37ATIVdXceBtTVdjJduDXnHG2vY/Qqqq/jr55NcPCToxEeMVoxB/TgZFoGqiu5zswW8nP31jL6XI/ioLCHWN7MPfjLTwzNYei/c6czfdd3peebdPYsPswP3p9DY1SwO+HF24bzeaDx5k0xFnF0Eg8HQRT8cCFMrBjBrn5xTz8WgHHTpVxshxaNPLh8wnXjOjEq5/toFGKjzu+1INvjevJ2t2lSR1KUhPqU9hJCpBGLecwNAzDMAzDIdATGQgtCPRCepcHf3zhOu6f0I+ebdPYuPcIP8ldw9wlW3hg0gAGdcpkUKdMerVLY0BWOmt2HaFPhwzSmqRy/xX96Nk+jUHZmQzt2jrOR2pEiqry2ort/Pi1Qpqk+njutjFcOawTvduls27XIX702hq+OiKLBfm7ebtwNz+7ehA7Dp1g3idb6Ny6eZUx/UZiU5XzvVNVfxIzS84CCzsxEvVVsxFbTAdGImigql5ub/gJUGlQ3MybRqEoA7LSKdpXytxbR+Pz+RiYfWY/g7IzzwymmzKy0jSCRuIRTguBNx2P5BZScqKMyUOz6N8hzZm5JjuDTXuOkCLwZv4uxvZpxx0XdGfLwRO8tHSrs3DSG87CSYM7tazUBpD0gyvDkFBhJ1W9l6o3V01Vc1V1emamDSRIViZPnsysWbMwDSQ3pgMjETQQcLALiksoKC7B7/ezeschVm8/hPqVJ6eMYGDHjEqxuCICAnfN+4yn3y/ie6/k8/mBYxVTCXqpqBc0jZyReISbZrCguIRHF6zhoUkDmHpuV97I38XTi4vw+/28vnIHD+cWkuITBnVuSW7+Lv6+spjHF63jB+P7Owsnuf+C2ygoLuH2OXnOwE3DS4mqTk8Exxuq7vmuF9MLGoZhGEYiEXCOUadn+97L+/LogjUVi6A8MGnAFwbJqSqqylNTRtI/K43OrZozaUjHkPu3xXISj3A93AEt9O+QxmsrttO9dTM+2Lif7IwmnC7306d9Br3bp/PqimJmv/85AM99+Dll5X6uGp7NwtW7mDS0Aw9e0Z9rc7pW9G57F8qpNLNJsePk2wqWiU3Ynm9VPXC2OxeR8SKyTkQ2isgPQ+RPEZF8d/tIRIZ58jaLyCoRWSEiVY6WsEV2jEReWMOIHaYDIxE0EFj0BuDJKSOYNKQjD0zsT5NGPkb3aMX/vrmG3PxiCosPM+PFZRWf75r3GQikpKRw5bBONmiyHhGuh1tV2bS3lNyVxdzz8kqum/UJjy/awP2vrqbc7wyfG5SdyTe/1J3jp8p4+j8bOadHa1J8wpurd3GqXPn080O8VbgnbCiJd+GcihUss5N6ZpNQhF1kB2LnrwaI2i/bXR3zj8AVwEDgBhEZGFTsc+BCVR0K/BSYFZR/saoOr26EqoWdGInwqtmIP6YDI1E0ULjzMHfOW17hLKlfGdO9NW+t3sVXBnXgsbfWsmnvEe69rC+PL1yHol+YDs67wmWo1S6NxCF4Oj9VZfWOQzz1n43cPX8F2w8eJ7NZKpcMaIcA3xjdlaaNfBTtO0rhzsPM+WgrJ8uVU37hrdW7+ea4nsyZNpqfXjWI+yf05/G311U49lWtmJnEK1hWR9iwk1j6qwEimee7towBNqpqEYCIvAxcBRQGCqjqR57yS4DOUbTHMAzDMKKO3+9n454jPHnjiIrp4+75Sz5+hVvO7cKIzi0Z2aUVjy9az8wpo5h586iwgzNnvLCM+8b3o2fbFtw17zNbKCVBCQ4FKtx5mDvmLuNUeTnpzRpxYd92dG3bgscXruP7l/WmS8sWjOzakkffKOSBCQOYMy2Hon1H6d66GR8WHaiYSvCJdzbw1JSRzLxpVMgwE6NOiLm/Gs13Wp2AbZ7v2920cNwOvOX5rsAiEVkmItOjYJ9hGIZhnDWBXmm/309BcQkL8nfy/VfyK3o1Jw7O4jfXDuM31w1lVLfW3PvXVYBy72V9UdWw4QQDO2Zw3/h+PP72OgQxh6ueoKqoX/nB5b257fzu/HhiXzbtKaW8rJzrR3emc8vm3P3KSv7+2Q6OnzzNj14rQFF6d0gnJTWFlz/dXjGHd6iBtda7XefE3F+NZs93xPODi8jFOAcz1pN8gaoWi0h74B0RWauqi0PUnQ5MB+jatevZW23UO2bNmsWsWc4boL1798bZGiNemA6MeGmgcKcTu33DmC689MlW7rusH7/6xlDK/eXcNudTnpmaw5UjnI4yv9+P+IQerZszbU4eqT7h2VtHh12lcPLQbHq1S7Op4xKcwGI5fr+fxRv3MueDzRw9WcaxMqVZChwvP1P2+5f0ZnjXDBZv2M+43m34YNN+Ptiwn5fztvPUlJGVZsCxtxx1RtugeOxZqhoIHYmJv+olms73dqCL53tnoDi4kIgMBWYDV6jq/kC6qha7f/eIyKs4rwW+cDDuyZsFzgqXdXkARv1g+vTpTJ/uPGzm5CTMAlZGjDEdGNHQQIVTpX5UlffW7QGBLi2b06t9OuITBmSlc8OYLsxbsoUp53bj8UXruGFMV2YvLkJEKs08ISL0apeG+pVGKcL9EwZU2ZttDlhiETyrid/v57XPtvNO4W7eXbMHnziO9rg+bVi2+QACXNivDR9sPMQFvVqyeOMBZn3wOcdOlTN5WBa3n9+Ngp1HGNunDRf2b28PWdFjXxXx2DHxV71E0/n+FOgjIj2AHcD1wI3eAiLSFfg7cLOqrvektwB8qnrE/XwZUC8W/DEMwzDqL8HO1erth7jhT5+Q6oNTfjh26kwXZvNGwuky5ZyerSjae5SbzuvO+T1asfvQCf703ibK/PCzqwdWmnmiYpGdKSN5ZtroWjtb1S1Xb5wdwedXVSnYUcK/1+5i9gdbeHjyAMrLy5n1/mbW7z1WUa9JqjBhcDveWr2Hsb3b8NnWgyzecJDjp/18VHSI5o0b8dDEAYhPmDS0IyLC87ePsesYX2Lur0bN+VbVMhH5DvA2zlL1z6pqgYjMcPNnAg8BbYAnXdGVuU8mHYBX3bRU4CVVXRiuLVvh0kiEVe2M+GM6MM5WA94VKAdlZ7J4w15KT5VzQc+WrC4+zNCOLcjfeZQmqT5OlvkpV/hg00GGd8lgzoebefLfmzh6qpxGKcLpcsXn84Wc9zmwRHxtCbbTqFsCg11vOKcLM8b1orD4MNf/6RNKT5YBcM9fVoWsd7JM6deuBb6hHXhz1W5uPrcrCwt2852LuzG2Txt84quYEtC7aqkRdcKucBlLfzWANKRpi3JycjQvL6IpFo0GSk5ODqYBw3Rg1FYDgcGTKCjKpj2lPPhaIanip0x9pAiUnCijWaoPnygny5QyhcymPr51YW/mfLSZKwZlsbBwN1PP68aMC3uFnK+7Yon4WjrP1vMdGWejg6f+s5En3l7P9y/rg6ryxDsb6ZLZmG0lp6qs26xRChlNUxk/pAM/mjCAdXuOVlyns73uRu0QkWWRTgMYC6IZdmIYhmEY9YpAXPfT7xUB0KxxKj+/ZhB+VR5dsIap53djV8kJ3li9i4cnDaRnuzQ+33eUHu1aMCg7kwv7tWdAVjrXjulapWN8ttPFWSx4dPA+1Hypd1v++K+N/P5fG/D7nfxtJafo264Z6/ceD1l/bK9W3Hd5PzYfOM4Tb6/n2pyula6TTRNoQANxvi3sxLBwAwNMB0bVGvA6VuD0PgtnQgD8fj8Pv17AC0u2okAjgayMxhTtLqFbu3QenDSQn7+5lmOnyxCFnu3S8KX4mDzcmZXM2xNdnWMcWAXTeq8TC29MftH+o4CfE2Vn8m8+pwsPTRrAk//eyGsrdtA+vQnn9WpLl9bNSU1JYdKwbHw+H0O7KL3bp3/BybaHprgRNuwkHljYidGgsHADA0wHRmgNFBSXVFq05o65yygvL+eKoR35xsjObNhzhO+FieUV4P+uHcqOQyd4+r1NlPuVR68ZzK//uZEnp4ygaN9RHl+4jpk3j4rYubIQhOgT6b3A7/eTm19Mt1bN+Ovy7aDKPz7bQYsmqewudbzvxj547GtD6Z2VbvNs1zMs7MQwDMMw4oB30ZqnbhzJ/RP6sbRoH89/vJX5S7bSP6tF2LrNGgk+EV5YshU/wrHT5fjEWfgGhcffXsd94/vVKJzAQhDiS2AGkw27D/POmt28uXoPQuUJnktPn+n2Tk1N4advrqVRio9npuXYA5NRaxqE821hJ4aFGxhgOjCq1kDFojVt09i09wiPLVzH8C6OA3VaYdXOo5XKZ6enMqxLKxYW7uXbF/WmR9sW3H9FP7q3ac7nB44xaagTYqCqFct/16Q31EIQ4kvhzsNMfe5T9h89M4AyOBagcYrw9ZFZZGe2YFy/dvjEB4I9MNU/LOwkWljYiWHhBgaYDozwGigvL+eRBYW8mV9Mvw5pfFh0CB/QtWUKmw+V4wPO79Wa+y7rS0pKCrc+9wn9szO49yt9+eYLyzlZ5ueF20eT4kvBr3584qs0bZyRWFR1L1BVVm07yFPvbeStAmdFVB+Q4gOfz8c3RmZz3eiuDO7c0q5vPcfCTgzDMAwjRgQcrJc/3cLKLQco2HOiIm9f0SEA/MDmQ2cWz/lw0wHOKzpA58ymHDnp5/0NBziv5wGmXdCdXy3awAcb9/P8x1s5Xe63EIR6QEFxCf07pLEgvxi/X9m6v5S1u0pJbwzvrNnHwZNnOiH9gN8PLVLg+nO6MbhTy7jZbTRczPk2GhR+v5+eP3wDP3BZ35b88eYxNGrUKN5mGYYRJwp3Hubapz/mRHn1ZQGuGNKegdkteeHjLZwuV5o3SeHa0Z351rieiAidWzdn4uAsLuzb/kzPt4UgJCzHT5cz44VlXNy/Lc9/vC2iOhMHd+BbF/a0ByojakTV+RaR8cBvcVYMmq2qvwzKFzd/AnAMmKaqyyOpG7SfycDkXr1681/zl/Hrrw81hyvJCMR5Fuw8Qkc3bdH6Q/T50SIAfjG5D9ed1zvkYhdGwyGgg1U7Suj+wzcq0hsDY3tnMHlkN64c1om1u0ttercGSkADew6U8Pe8zSzZuDdix7tfhxb89roRpKSkcFHf9qgqCJVmtrhymDOt4KBO5pjVC1QZ16sVL32y7QuDKYMZ1KEpt57fk/6dWjEwO4PC4sMoajObNAyqjPmOlb9asb9oxXyLSAqwHrgU2A58CtygqoWeMhOA/8I5mHOA36rqOZHUDUWTjn2049TfAJB37zm0bdu2rg/LSHCadOxDQAPBfP/S3ny5f5bFZyYBVengpnM6807hXp6ZlmOvlBswVWkAYFR2M/pkZXDg6GnapjchJSWFH08eRGqqvRBuSFSng2Cmnt+Vf6/dx72X9+Xnb6wFsLCiBkBVMd/x8FejeZcZA2xU1SLX8JeBqwCvQVcBz6vzBLBERFqKSEegewR1qyTniU/Y/MuJdXIgRsNg9vubmffJdruRJjmvLi+maeNUBHsAS1Z+/fXBfDWnW7zNMGJEm2bC/uNOR2ObppDZvDHt05twTvc2pKT62H3kJPuOHGdwp9bceVEvrs05yoCsdHq1TUNRCytq+MTcX42m890J8AZYbcd5WqiuTKcI6wIgItOB6QC+ZhnsnHs3AKf3by+U/z0RWP81Ewg391i4vJqmA7QF9tWwTm3aCZcXrv26bifRzkFboB2Ar1lG84AGAqjfX+4/dmjn1pNHFeTI4AdOBK8LXB/PQbzbryovXjoMqwM9fbK07PDerb4mzTv4Tx7bDTD4oYh1UJ/OQSQ2NGQdVtbAnO8qSMVzlpaXnSovPbD9a/972H+W7URaJ1l/i5HYEBMdStO0UcsfnrhMGjVtJqmNm245fvhgoM6fQ9T571q2U0VeslyDqvIS4RwMFhHvtDezVHWW+zkm/molVDUqG/ANnNiXwPebgd8HlXkDGOv5/i4wKpK6YdrMC5M+q4o6IfNqmh6r9qupE7L9KLSTyOfgaDKcg3i3X02dRNBhSB0k2TlIdh0mxb2gmjqmQ7sXmA6rtyHm/mo0e763A1083zsDxRGWaRxB3ZpQ1YTq4fJqmh6r9uvahrq2rab7qm07yX4O4t1+XdtQH69BXdtQH89BvNuvaxvq4zWoaxvq4zmId/t1bUN9vAZ1bUOszgHEw1+tzjuv7YYT0lIE9HCNWwkMCiozEXgLEOBcYGmkdWv6ZBOLLdnbTwQbqKK3K4nOQVK3nwg6SJBzkNQ6iLcGEuQcmA7tXhB3G+LdfnU2xMNfjVrPt6qWich3gLdxpl95VlULRGSGmz8TeBNn5OhGnKlbbq2qbgTNzqq+SFRJ9vYh/jb8Pc7tQ/zPQbK3D/HXQSKcg3jbEO/2460BiP85iHf7EH8b4q2DeB8/xN+GeLcPVdgQD3+1QS0vbxiGYRiGYRiJjK04YhiGYRiGYRgxwpxvwzAMwzAMw4gR9cL5FpHxIrJORDaKyA9D5IuI/M7NzxeRkZHWraP2p7jt5ovIRyIyzJO3WURWiciKoDkm69qGi0SkxG1nhYg8FGndOmr/Pk/bq0WkXERau3lnfQ5E5FkROSQiJ0PZ4NFAoMz6gA5c27eJyCkR2VdfdRBvDURoQ7R18LaIlLnXONy9YIV7rY+LyI2evAfc9FMi8lZt2nf3k9Q6SAANJP29IEIbGroO7F5g/ycE7gd7RGR1mPzA/SAq/mGtifcI1AhGqKYAm4CenBlJOjCozAQqj0L9JNK6ddT++UAr9/MVgfbd75uBtjE4BxcBC2pTty7aDyo/GfhXHZ+Di3Amsl8XygZXA3muDs4FCoBPPLZvAfoB+cDa+qaDeGsgEXTgtr/D3W9BmHPwELAX515wO1DqpjcCTgMXAi2A48DkKF2HBquDeGvAc3xJey8wHdi9IBE0kAg6cPcxDhgJrA6THzX/8Gy2+tDzXbHsp6qeAgJLd3q5CnfZT1VdAgSW/Yyk7lm3r6ofqepB9+sSnHke65KzOY6YnIMgbgDm17CN6jiJM53P6TA2XAUcwtHBEpzpf9rg3PD2AmtVdZ1r1+Zq7A9FvHUQbw3UZj91rYMxwGpgFaBh2r8eeNm9FzwDNHZ7m6YBJar6nqoeBd4Dvl1LG5JZB/HWANi9ICIbolS3tvuwe0HDuxfUZj91fj9Q1cXAgSqKRNM/rDX1wfkOt6RnJGUiqVsX7Xu5HecpK4ACi0RkmYhMr2HbNbXhPBFZKSJvicigGtati/YRkebAeOBvnuS6Ogc7q7ChE9DMY+d2nB/kQKA0KD0lnP3VtB9PHcRbAzXaT5R0EEn7bYBCz/dSYChOT6d3eePNQHaUbPDS0HQQbw0EbEjme0FNbGioOrB7Qfw1UKP9RPF+UFsb6+oc1IpornBZV0iItOD5EcOViaRuXbTvFBS5GOcHNtaTfIGqFotIe+AdEVnrPqnVtQ3LgW6qWioiE4B/AH1qYv9Zth9gMvChqnqfRGNxDiRMmVDpSv3TQbw1EKkNAaKhg9reC/wR1q0rG5yCDVMH8dZAJDY09HtBpDY0ZB3YvSD+GojUhgDRuh/U1sa6Oge1oj70fJ/Nsp+R1K2L9hGRocBs4CpV3R9IV9Vi9+8e4FWcVx01pVobVPWwqpa6n98EGolI20jtP9v2PVxP0GulOjwHHauwYTvOxPddPPmtceIBWwSl+6uwv6r246mDeGsgIhs8REMHkbS/D6eHM0AazuvptUBbT3p3Kvee1qUNDVkH8dZAwIZkvhdEZEMD14HdC+KvgYhs8BCt+0Ftbayrc1A7NEbB5bXdiMOyn7VovyvOqkfnB6W3ANI9nz8CxkfpHGRBxaJJY4Ct7vmIyTlwy2XivN5tEaVzsJXKg6wGefIn8sVBVks9tm8F+nJmkFW90kG8NZAIOvC0P5Yzg6yCz8HDhB5k1QRnkNWXODPI6soo/RYbrA7irQGPDUl7LzAd2L0gETSQCDrw7Ks74QdcRs0/PJstJo2ctZHOaNX1OCNTH3DTZgAz3M8C/NHNXwXkVFU3Cu3PBg4CK9wtz03v6V7QlTg3iFq1H6EN3+HMTWiJ98cei3Pgfp+GM8DFW69OzgHOE/MBnNdCZThLBs8A5rl/AxoowRmQtTGgA9f27cApYH991UG8NZAgOviPe/3Vvda3uxqY5+YLzj3gNHACuNlT9yFXA6eBRVH8LTZoHSSABpL+XmA6sHtBImggQXQwH+fNxWmc3/btQecgqv5hbTdbXt4wDMMwDMMwYkR9iPk2DMMwDMMwjAaBOd+GYRiGYRiGESPM+TYMwzAMwzCMGGHOt2EYhmEYhmHECHO+DcMwDMMwDCNGmPNdzxGRi0Rkgfv5ShH5YRVlW4rIXbVo42ERufds7DSih2nAANOBYRowHEwHiY853wmKiKTUtI6qvq6qv6yiSEugxj8yIz6YBgwwHRimAcPBdNBwMOc7DohIdxFZKyJzRSRfRP4qIs1FZLOIPCQiHwDfEJHLRORjEVkuIn8RkTS3/ni3/gfAVz37nSYif3A/dxCRV0VkpbudD/wS6CUiK0TkcbfcfSLyqWvHI559PSAi60Tkn0C/GJ6epMA0YIDpwDANGA6mg+QiNd4GJDH9gNtV9UMReZYzT54nVHWsiLTFWbntK6p6VET+B/ieiDwG/An4Ms7KbX8Os//fAe+p6jXiPC2nAT8EBqvqcAARuQzog7PsrACvi8g44ChwPTACRyPLgWV1e/gGpgHDwXRgmAYMMB0kDeZ8x49tqvqh+/lF4L/dz4EfzbnAQOBDEQFoDHwM9Ac+V9UNACLyIjA9xP6/DNwCoKrlQImItAoqc5m7feZ+T8P50aUDr6rqMbeN12t/mEYVmAYMMB0YpgHDwXSQJJjzHT80zPej7l8B3lHVG7yFRGR4iLq1RYBfqOrTQW3cXYdtGOExDRhgOjBMA4aD6SBJsJjv+NFVRM5zP98AfBCUvwS4QER6A7ixX32BtUAPEenlqRuKd4E73bopIpIBHMF5eg3wNnCbJ2ask4i0BxYD14hIMxFJByafzYEaYTENGGA6MEwDhoPpIEkw5zt+rAGmikg+0Bp4ypupqnuBacB8t8wSoL+qnsB5nfSGOAMrtoTZ/3eBi0VkFU5c1iBV3Y/zumq1iDyuqouAl4CP3XJ/BdJVdTnOa64VwN+A9+vwuI0zmAYMMB0YpgHDwXSQJIiqvUWINSLSHVigqoPjbYsRH0wDBpgODNOA4WA6SC6s59swDMMwDMMwYoT1fBuGYRiGYRhGjLCeb8MwDMMwDMOIEeZ8G4ZhGIZhGEaMMOfbMAzDMAzDMGKEOd+GYRiGYRiGESPM+TYMwzAMwzCMGPH/Ae00lDAfLVRMAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 864x432 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"\n",
"# Define a simple Mean-squared error loss function\n",
"loss_fn = nn.MSELoss()\n",
"# Set up optimizer\n",
"optimizer = torch.optim.Adam(model.parameters(), lr=lr)\n",
"\n",
"losses_train_epoch = np.zeros(num_epochs)\n",
"losses_valid_epoch = np.zeros(num_epochs)\n",
"\n",
"total_batch_tr = 0\n",
"total_batch_val = 0\n",
"for epoch in range(num_epochs):\n",
" model.train()\n",
"\n",
" loss_train = 0.0\n",
" loss_valid = 0.0\n",
" for i, (data, target) in enumerate(loader_train):\n",
" optimizer.zero_grad()\n",
"\n",
" outputs = model(data)\n",
"\n",
" loss = loss_fn(outputs, target)\n",
" loss.backward()\n",
" optimizer.step()\n",
"\n",
" loss_train += loss.item()\n",
" #print(f\"batch {i}: loss = {loss.item()}\")\n",
"\n",
" model.eval()\n",
" with torch.no_grad():\n",
" for i, (data, target) in enumerate(loader_valid):\n",
" outputs = model(data)\n",
" loss = loss_fn(outputs, target)\n",
" loss_valid += loss.item()\n",
"\n",
" losses_train_epoch[epoch] = loss_train / len(loader_train) / batch_size\n",
" losses_valid_epoch[epoch] = loss_valid / len(loader_valid) / batch_size\n",
"\n",
" if epoch % 10 == 0:\n",
" # Make output plots\n",
" # Un-normalize the true delta of the AE probability\n",
" ae_prob = ds.predictors[\"ae_prob\"].data * ds.predictors[\"ae_prob\"].data_std + ds.predictors[\"ae_prob\"].data_mean\n",
" # Un-normalize the delta from the RC model\n",
" ae_prob_delta = ds.targets[\"ae_prob_delta\"].data * ds.targets[\"ae_prob_delta\"].data_std + ds.targets[\"ae_prob_delta\"].data_mean\n",
" # Calculate the true new value of the AE probabilities\n",
" ae_prob_dt_true = ae_prob + ae_prob_delta\n",
" # Use the model to get the predicted delta of AE probability\n",
" ae_prob_dt_pred = torch.zeros_like(ae_prob_dt_true)\n",
" with torch.no_grad():\n",
" ae_prob_delta_pred = model(ds[:][0]) * ds.targets[\"ae_prob_delta\"].data_std + ds.targets[\"ae_prob_delta\"].data_mean\n",
" # Add predicted delta to AE mode probablity\n",
" ae_prob_dt_pred = ae_prob + ae_prob_delta_pred\n",
"\n",
" pred_fig = make_pred_plots(ae_prob_dt_pred, ae_prob_dt_true, epoch)\n",
" #pred_fig.savefig(f\"prediction_epoch{epoch:03d}.png\")\n",
" #wandb.log({\"Prediction accuracy\": wandb.Image(plt)}, commit=False)\n",
" #plt.close(pred_fig)\n",
"\n",
" print(f\"epoch: {epoch+1:2d}, train loss : {losses_train_epoch[epoch]:7.5f}, valid loss: {losses_valid_epoch[epoch]:7.5f}\")\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "b4167e4e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'MSE loss per sample')"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(losses_train_epoch)\n",
"plt.plot(losses_valid_epoch)\n",
"plt.xlabel(\"Epoch\")\n",
"plt.ylabel(\"MSE loss per sample\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "7b2e1dd3",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "8ac71ba9",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.10.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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