{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# VEP SDE CDE Example (84 Regions)
\n",
"This notebook demonstrates simulation and inference for the VEP (Virtual Epileptic Patient) stochastic differential equation (SDE) model with 84 brain regions. It covers:
\n",
"- Setting up the model and parameters for healthy, propagation, and epileptic zones.
\n",
"- Running simulations and extracting features from the generated time series.
\n",
"- Performing parameter inference using a conditional density estimator (MAF).
\n",
"- Visualizing posterior samples and comparing observed vs predicted dynamics.
\n",
"
\n",
"The workflow is suitable for large-scale brain network modeling and probabilistic parameter estimation.\n",
"\n",
"
\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Install VBI package in Google Colab (lightweight, CPU-only version)\n",
"print(\"Setting up VBI for Google Colab...\")\n",
"\n",
"# Skip C++ compilation for faster installation in Colab\n",
"%env SKIP_CPP=1\n",
"\n",
"# Install the package\n",
"# !pip install vbi\n",
"\n",
"print(\"VBI package installed successfully! Ready to proceed.\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Optional to limit CPU usage for some numpy core operations"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"NUM_CPU_CORES = 2\n",
"os.environ[\"OMP_NUM_THREADS\"] = str(NUM_CPU_CORES)\n",
"os.environ[\"MKL_NUM_THREADS\"] = str(NUM_CPU_CORES)\n",
"os.environ[\"OPENBLAS_NUM_THREADS\"] = str(NUM_CPU_CORES)\n",
"os.environ[\"NUMEXPR_NUM_THREADS\"] = str(NUM_CPU_CORES)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import tqdm\n",
"import pickle\n",
"import numpy as np\n",
"import networkx as nx\n",
"from os.path import join\n",
"from vbi import report_cfg\n",
"import matplotlib.pyplot as plt\n",
"from vbi.cde import MAFEstimator\n",
"from vbi.plot import pairplot_numpy\n",
"from vbi.models.numba.vep import VEP_sde"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"seed = 2\n",
"np.random.seed(seed)\n",
"path = \"output/vep_sde_numba_cde_84_\"\n",
"os.makedirs(path, exist_ok=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Download the weights file\n",
"# !mkdir -p data\n",
"# !wget https://raw.githubusercontent.com/ins-amu/vbi/main/docs/examples/data/weights1.txt -O data/weights1.txt"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"weights = np.loadtxt(\"data/weights1.txt\")\n",
"nn = weights.shape[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"healthy zone, propagation zone, epileptic zone eta values"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"hz_val = -3.65\n",
"pz_val = -2.4\n",
"ez_val = -1.6"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"ez_idx = np.array([6, 34], dtype=np.int32)\n",
"pz_wplng_idx = np.array([5, 11], dtype=np.int32)\n",
"pz_kplng_idx = np.array([27], dtype=np.int32)\n",
"pz_idx = np.append(pz_kplng_idx, pz_wplng_idx)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"initial_state = np.zeros(2 * nn)\n",
"initial_state[:nn] = -2.5\n",
"initial_state[nn:] = 3.5"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"params = {\n",
" \"G\": 1.0,\n",
" \"seed\": seed,\n",
" \"initial_state\": initial_state,\n",
" \"weights\": weights,\n",
" \"tau\": 90.0,\n",
" \"eta\": -3.5,\n",
" \"sigma\": 0.0,\n",
" \"iext\": 3.1,\n",
" \"dt\": 0.1,\n",
" \"t_end\": 80.0,\n",
" \"t_cut\": 1.0,\n",
" \"record_step\": 1,\n",
" \"method\": \"heun\",\n",
" \"output\": \"output\",\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(85,)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"obj = VEP_sde(params)\n",
"g_true = 1.0\n",
"eta_true = np.ones(nn) * hz_val\n",
"eta_true[pz_idx] = pz_val\n",
"eta_true[ez_idx] = ez_val\n",
"control_true = {\"eta\": eta_true, \"G\": g_true}\n",
"theta_true = np.hstack(([g_true], eta_true))\n",
"theta_true.shape"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((790,), (84, 790))"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = obj.run(par=control_true)\n",
"ts = data[\"x\"]\n",
"t = data[\"t\"]\n",
"t.shape, ts.shape"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(5, 8))\n",
"for i in range(0, nn):\n",
" if i in ez_idx:\n",
" plt.plot(t, ts[i, :] + i, \"r\", lw=3)\n",
" elif i in pz_idx:\n",
" plt.plot(t, ts[i, :] + i, \"orange\", lw=3)\n",
" else:\n",
" plt.plot(t, ts[i, :] + i, \"g\")\n",
"plt.yticks(np.r_[0:nn] - 2, np.r_[0:nn], fontsize=8)\n",
"plt.title(\"Source brain activity\", fontsize=12)\n",
"plt.xlabel(\"Time\", fontsize=12)\n",
"plt.ylabel(\"Brain Regions#\", fontsize=12)\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"from vbi.feature_extraction.features_settings import *\n",
"from vbi.feature_extraction.calc_features import *"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Selected features:\n",
"------------------\n",
"■ Domain: statistical\n",
" ▢ Function: auc\n",
" ▫ description: Computes the area under the curve of the signal computed with trapezoid rule.\n",
" ▫ function : vbi.feature_extraction.features.auc\n",
" ▫ parameters : {'dx': None, 'x': None, 'indices': None, 'verbose': False}\n",
" ▫ tag : all\n",
" ▫ use : yes\n"
]
}
],
"source": [
"fs = 1 / (params[\"dt\"]) / 1000\n",
"cfg = get_features_by_domain(domain=\"statistical\")\n",
"# cfg = get_features_by_given_names(cfg, names=[\"calc_moments\"])\n",
"cfg = get_features_by_given_names(cfg, names=[\"auc\"])\n",
"report_cfg(cfg)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1/1 [00:00<00:00, 1095.98it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1, 84)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"data = extract_features_df([ts], fs, cfg=cfg, n_workers=1)\n",
"print(data.values.shape)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"def wrapper(params, control, x0, cfg, verbose=False):\n",
" vep_obj = VEP_sde(params)\n",
" sol = vep_obj.run(control, x0=x0)\n",
"\n",
" # extract features\n",
" fs = 1.0 / params[\"dt\"] * 1000 # [Hz]\n",
" stat_vec = extract_features(\n",
" ts=[sol[\"x\"]], cfg=cfg, fs=fs, n_workers=1, verbose=verbose\n",
" ).values[0]\n",
" return stat_vec"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"def batch_run(params, control_list, x0, cfg, n_workers=1):\n",
" n = len(control_list)\n",
" def update_bar(_):\n",
" pbar.update()\n",
" with Pool(processes=n_workers) as pool:\n",
" with tqdm.tqdm(total=n) as pbar:\n",
" async_results = [\n",
" pool.apply_async(\n",
" wrapper,\n",
" args=(params, control_list[i], x0, cfg, False),\n",
" callback=update_bar,\n",
" )\n",
" for i in range(n)\n",
" ]\n",
" stat_vec = [res.get() for res in async_results]\n",
" return stat_vec"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(84,)\n"
]
}
],
"source": [
"x_ = wrapper(params, control_true, initial_state, cfg)\n",
"print(x_.shape)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"num_sim = 10_000\n",
"num_workers = 10\n",
"eta_min, eta_max = -5.0, -1.0\n",
"gmin, gmax = 0.0, 2.0"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"from vbi.utils import BoxUniform"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"prior_min = [gmin] + [eta_min] * nn\n",
"prior_max = [gmax] + [eta_max] * nn\n",
"prior = BoxUniform(low=prior_min, high=prior_max, seed=seed)\n",
"theta = prior.sample((num_sim))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"control_list = [{'eta': theta[i, 1:], \"G\": theta[i, 0]} for i in range(num_sim)]"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [00:29<00:00, 343.79it/s]\n"
]
}
],
"source": [
"stat_vec = batch_run(params, control_list, initial_state, cfg, num_workers)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"scalar = StandardScaler()\n",
"stat_vec = scalar.fit_transform(np.array(stat_vec))\n",
"np.savez(join(path, \"data.npz\"), theta=theta, stat_vec=stat_vec)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(85,) (1, 84)\n"
]
}
],
"source": [
"xo = wrapper(params, control_true, initial_state, cfg)\n",
"xo = scalar.transform(xo.reshape(1, -1))\n",
"print(theta_true.shape, xo.shape)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"np.savez(join(path, \"data_xo.npz\"), theta=theta_true, xo=xo)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Inferred dimensions: param_dim=85, feature_dim=84\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Training: 0%| | 0/1000 [00:00, ?it/s]Training: 51%|█████▏ | 514/1000 [21:25<20:15, 2.50s/it, patience=20/20, train=-117.6100, val=-65.5378]\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"best epoch: 494 best val: -66.05994788316926\n"
]
}
],
"source": [
"import autograd.numpy as anp\n",
"rng = anp.random.RandomState(seed)\n",
"maf_estimator = MAFEstimator(n_flows=10, hidden_units=128)\n",
"maf_estimator.train(theta, stat_vec, n_iter=1000, learning_rate=2e-4)\n",
"print(\"best epoch:\", maf_estimator.best_epoch, \"best val:\", maf_estimator.best_val_loss)\n",
"samples = maf_estimator.sample(xo, n_samples=5000, rng=rng)[0]"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"with open(join(path, \"posterior.pkl\"), \"wb\") as f:\n",
" pickle.dump(maf_estimator, f)\n",
"# with open(join(path, \"posterior.pkl\"), \"rb\") as f:\n",
"# maf_estimator = pickle.load(f)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"limits = [[i, j] for i, j in zip(prior_min[:10], prior_max[:10])]\n",
"points = np.array([[g_true] + eta_true[:10].tolist()])\n",
"fig, ax = pairplot_numpy(\n",
" samples[:, :10],\n",
" limits=limits,\n",
" figsize=(10, 10),\n",
" points=points.reshape(1, -1),\n",
" labels=[\"G\"]+ [f\"eta_{i}\" for i in range(9)],\n",
" offdiag=\"kde\",\n",
" diag=\"kde\",\n",
" points_colors=\"r\",\n",
" samples_colors=\"k\",\n",
" points_offdiag={\"markersize\": 10},\n",
")\n",
"ax[0, 0].tick_params(labelsize=14)\n",
"ax[0, 0].margins(y=0)\n",
"fig.savefig(join(path, \"triangleplot.jpeg\"), dpi=300)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"def plot_eta(samples, eta_true, ax):\n",
" prior = np.random.uniform(-5, -1, size=(10000, 1))\n",
" positions = np.arange(1, eta_true.shape[0]+1)\n",
" parts = ax.violinplot(samples, positions=positions, widths=0.7, showmeans=1, showextrema=1)\n",
" ax.plot(np.r_[1:eta_true.shape[0]+1], eta_true, 'o', color='g', alpha=0.9, ms=6)\n",
" parts_prior = ax.violinplot(prior, positions=[0], widths=0.7, showmeans=1, showextrema=1)\n",
" ax.set_ylabel('Density ' + r'${\\eta_i}$', fontsize=18)\n",
" ax.set_xlabel('Regions', fontsize=18)\n",
" ax.tick_params(labelsize=14)\n",
" \n",
" for pc in parts['bodies']:\n",
" pc.set_facecolor('red')\n",
" pc.set_edgecolor('k')\n",
" pc.set_alpha(0.5)\n",
" pc.set_linewidth(0.5)\n",
" for pc in parts_prior['bodies']:\n",
" pc.set_facecolor('blue')\n",
" pc.set_edgecolor('k')\n",
" pc.set_alpha(0.5)\n",
" pc.set_linewidth(0.5)\n",
" parts['cbars'].set_color('k')\n",
" parts['cbars'].set_linewidth(1)\n",
" parts_prior['cbars'].set_color('k')\n",
" parts_prior['cbars'].set_linewidth(1)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, figsize=(12, 2.5))\n",
"plot_eta(samples[:, 1:], eta_true, ax)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"from vbi.utils import posterior_peaks_numpy"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"peaks = posterior_peaks_numpy(samples)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"c_obs = {\"eta\": eta_true, \"G\": g_true}\n",
"c_ppc = {\"eta\": peaks[1:], \"G\": peaks[0]}"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"obj = VEP_sde(params)\n",
"data_obs = obj.run(par=c_obs)\n",
"data_ppc = obj.run(par=c_ppc)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2, figsize=(8, 3.5), sharex=True)\n",
"ax[0].plot(data_obs[\"t\"], data_obs[\"x\"].T, \"g\", lw=0.1)\n",
"ax[0].plot(data_obs[\"t\"], data_obs['x'][ez_idx].T, \"r\", lw=0.3)\n",
"ax[0].plot(data_obs[\"t\"], data_obs['x'][pz_idx].T, \"orange\", lw=0.3)\n",
"ax[1].plot(data_ppc[\"t\"], data_ppc[\"x\"].T, \"r\", lw=0.1);\n",
"ax[1].plot(data_ppc[\"t\"], data_ppc['x'][ez_idx].T, \"r\", lw=0.3)\n",
"ax[1].plot(data_ppc[\"t\"], data_ppc['x'][pz_idx].T, \"orange\", lw=0.3)\n",
"ax[0].legend(['Observed'], loc=\"upper right\", fontsize=12, frameon=False)\n",
"ax[1].legend(['Predicted'], loc=\"upper right\", fontsize=12, frameon=False)\n",
"ax[1].set_xlabel(\"Time [s]\");\n",
"ax[0].set_ylabel(r\"x\");\n",
"ax[1].set_ylabel(r\"x\");\n",
"ax[0].margins(x=0)\n",
"fig.tight_layout()\n",
"plt.savefig(join(path, \"observed_vs_predicted.png\"), dpi=300);"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"np.savez(join(path, \"data_ppc.npz\"), \n",
" peaks=peaks,\n",
" t=data_obs[\"t\"], \n",
" x_obs=data_obs[\"x\"], x_ppc=data_ppc[\"x\"], \n",
" eta_true=[g_true] + eta_true.tolist()\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"from vbi.utils import posterior_shrinkage_numpy, posterior_zscore_numpy"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"sh = posterior_shrinkage_numpy(theta, samples)\n",
"zs = posterior_zscore_numpy(np.array([g_true] + eta_true.tolist()), samples)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"np.savez(join(path, \"shrinkage_zscore.npz\"), sh=sh, zs=zs)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1/1 [00:00<00:00, 1399.50it/s]\n",
"100%|██████████| 1/1 [00:00<00:00, 1334.92it/s]\n"
]
}
],
"source": [
"auc_obs = wrapper(params, c_obs, initial_state, cfg, verbose=True)\n",
"auc_ppc = wrapper(params, c_ppc, initial_state, cfg, verbose=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"bar plot auc_obs "
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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27asFCxbI3d1dknT58mX9/e9/V0JCgvbv3294kQAAAIBRHP4S3LFjxzRq1Chr+JUkd3d3JSYm6tixY4YWBwAAABjN4QB86623Wtf+/t7hw4fVsWNHQ4oCAAAAnMWuJRAZGRnWn5999lkNHz5cx44d0+233y5J2rFjh5KTkzV16lTnVAkAAAAYxK4AfMstt8hkMtk8tGLs2LGlxj3xxBPq27evcdWhUivrS0F8IQgAAFR2dgXgzMxMZ9cBAAAAlAu7AnCTJk2cXQcAAABQLhz+Etzq1avVu3dv3Xzzzbr55pvVu3dvffzxx86oDQAAADCc3QG4pKREffv2Vd++fXXo0CE1b95czZs318GDB9W3b1/169fPZo0wAAAAUBnZ/SCMOXPm6Msvv9TatWv14IMP2vStXbtW/fv315w5czRixAijawQAAAAMY/cV4CVLluj1118vFX4l6aGHHtL06dO1ePFiQ4sDAAAAjGZ3AD569KiioqKu2h8VFaWjR48aUhQAAADgLHYHYG9vb+Xm5l6132w2y8vLy4iaAAAAAKexOwBHRkZqwYIFV+1PTk5WZGSkIUUBAAAAzmL3l+BefPFF3XPPPfrll180evRotW7dWhaLRYcPH9Ybb7yhf/7zn/r666+dWSsAAABw3ewOwHfccYdWrVqlwYMH65NPPrHpq1Onjj788EN16dLF8AIBAAAAI9kdgCXpkUceUXR0tP71r39Zv/DWsmVLde/eXTVq1HBKgQAAAICRHArAklSjRg098sgjzqgFAAAAcDqHH4UMAAAA3MgIwAAAAHApBGAAAAC4lEodgF966SWZTCabrXXr1tb+ixcvKiEhQXXr1lWtWrXUp08f5eTk2BzjxIkTeuCBB1SjRg0FBARozJgxunTpUnm/FQAAAFQSdgfgrKwsjR49WmazuVRfXl6exowZUyp8GqFdu3Y6ffq0ddu6dau1b+TIkVq3bp1Wr16tzZs3KysrS71797b2X758WQ888ICKioq0fft2vffee1q6dKkmTpxoeJ0AAAC4MdgdgGfOnCmz2SwfH59Sfb6+vsrPz9fMmTMNLU6SqlWrpqCgIOtWr149Sb+F7kWLFmnmzJm67777FB4eriVLlmj79u3asWOHJGnjxo06dOiQPvjgA91yyy2KjY3Vyy+/rOTkZBUVFV31nIWFhTKbzTYbAAAAqga7A/CGDRv05JNPXrX/ySef1Pr16w0p6veOHj2q4OBgNWvWTHFxcTpx4oQkKS0tTcXFxYqKirKObd26tRo3bqzU1FRJUmpqqtq3b6/AwEDrmOjoaJnNZh08ePCq50xKSpKvr691CwkJMfx9AQAAoGLYHYAzMzPVuHHjq/Y3atRIx48fN6Imq4iICC1dulQbNmzQggULlJmZqTvvvFP5+fnKzs6Wh4eH/Pz8bF4TGBio7OxsSVJ2drZN+L3Sf6XvasaNG6e8vDzrdvLkSUPfFwAAACqO3Q/C8Pb21vHjx68ago8fPy5vb2/DCpOk2NhY688dOnRQRESEmjRpoo8++sjwc/2ep6enPD09nXZ8AAAAVBy7rwBHRETo/fffv2r/smXL1LlzZ0OKuho/Pz+1bNlSx44dU1BQkIqKipSbm2szJicnR0FBQZKkoKCgUl/Mu7J/ZQwAAABci90BePTo0VqyZIlGjx5tEypzcnI0atQoLV26VKNHj3ZKkVcUFBTo+++/V4MGDRQeHq7q1atr06ZN1v4jR47oxIkTioyMlCRFRkZq//79OnPmjHVMSkqKfHx81LZtW6fWCgAAgMrJ7iUQ9957r5KTkzV8+HDNmjVLPj4+MplMysvLU/Xq1TVv3jzdd999hhY3evRo9ezZU02aNFFWVpYmTZokd3d3Pf744/L19dXAgQOVmJgof39/+fj46JlnnlFkZKRuv/12SVL37t3Vtm1b/e1vf9P06dOVnZ2t8ePHKyEhgSUOAAAALsruACxJQ4YM0YMPPqiPPvpIx44dk8ViUcuWLfXoo4+qUaNGhhd36tQpPf744/rll19Uv359de3aVTt27FD9+vUlSbNmzZKbm5v69OmjwsJCRUdHa/78+dbXu7u7a/369Ro6dKgiIyNVs2ZNxcfHa8qUKYbXCgAAgBuDQwFYkho2bKiRI0c6o5ZSVq5cec1+Ly8vJScnKzk5+apjmjRpos8//9zo0gAAAHCDsjsAz507t8x2X19ftWzZ0rruFgAAAKjM7A7As2bNKrM9NzdXeXl5uuOOO7R27Vr5+/sbVhwAAABgNIcehFHWdu7cOR07dkwlJSUaP368M2sFAAAArpvdAfhamjVrpqlTp2rjxo1GHA4AAABwGkMCsCQ1btz4mo8XBgAAACoDwwLw/v371aRJE6MOBwAAADiF3V+CM5vNZbbn5eUpLS1No0aNUnx8vGGFAQAAAM5gdwD28/OTyWQqs89kMunpp5/W888/b1hhAAAAgDPYHYC//vrrMtt9fHzUokUL1apVy7CiAAAAAGexOwDffffdfzjmwIEDuvnmm6+rIAAAAMCZrvtLcPn5+Xr77bfVuXNndezY0YiaAAAAAKf50wF4y5Ytio+PV4MGDTRjxgzdd9992rFjh5G1AQAAAIazewmEJGVnZ2vp0qVatGiRzGazHnvsMRUWFmrNmjVq27ats2oEAAAADGP3FeCePXuqVatWysjI0OzZs5WVlaV58+Y5szYAAADAcHZfAf7iiy/07LPPaujQoWrRooUzawIAAACcxu4rwFu3blV+fr7Cw8MVERGhN998Uz///LMzawMAAAAMZ3cAvv322/XOO+/o9OnTGjJkiFauXKng4GCVlJQoJSVF+fn5zqwTAAAAMITDd4GoWbOmBgwYoK1bt2r//v0aNWqUpk6dqoCAAD300EPOqBEAAAAwzHXdB7hVq1aaPn26Tp06pQ8//NComgAAAACnue4HYUiSu7u7evXqpbVr1xpxOAAAAMBpDAnAAAAAwI2CAAwAAACXQgAGAACASyEAAwAAwKW4VABOTk5W06ZN5eXlpYiICO3atauiSwIAAEA5c5kAvGrVKiUmJmrSpEnau3evOnbsqOjoaJ05c6aiSwMAAEA5cpkAPHPmTA0aNEj9+/dX27ZttXDhQtWoUUOLFy+u6NIAAABQjqpVdAHloaioSGlpaRo3bpy1zc3NTVFRUUpNTS01vrCwUIWFhdb9vLw8SZLZbHZ+sb9TdKGoVJvZbC6z/Vp9V+o26njlea4/Ol55novPyTnHK89z8TkZc7zyPBefk3OOV57nupFrL89zVeXay8uVc1kslj8ca7LYM+oGl5WVpYYNG2r79u2KjIy0to8dO1abN2/Wzp07bca/9NJLmjx5cnmXCQAAgOt08uRJNWrU6JpjXOIKsKPGjRunxMRE635JSYnOnj2runXrymQylWstZrNZISEhOnnypHx8fMr13KjcmBsoC/MCV8PcQFmq0rywWCzKz89XcHDwH451iQBcr149ubu7Kycnx6Y9JydHQUFBpcZ7enrK09PTps3Pz8+ZJf4hHx+fG35iwjmYGygL8wJXw9xAWarKvPD19bVrnEt8Cc7Dw0Ph4eHatGmTta2kpESbNm2yWRIBAACAqs8lrgBLUmJiouLj49WpUyd17txZs2fP1vnz59W/f/+KLg0AAADlyGUCcN++ffXTTz9p4sSJys7O1i233KINGzYoMDCwoku7Jk9PT02aNKnUkgyAuYGyMC9wNcwNlMVV54VL3AUCAAAAuMIl1gADAAAAVxCAAQAA4FIIwAAAAHApBGAAAAC4FAIwAAAAXAoBGAAAAC6FAAwAAACXQgAGAACASyEAAwAAwKUQgAEAAOBSCMAAAABwKQRgAAAAuBQCMAAAAFwKARgAAAAuhQAMAAAAl0IABgAAgEupVtEF3AhKSkqUlZWl2rVry2QyVXQ5AAAA+B8Wi0X5+fkKDg6Wm9u1r/ESgO2QlZWlkJCQii4DAAAAf+DkyZNq1KjRNccQgO1Qu3ZtSb99oD4+PhVcDQAAAP6X2WxWSEiINbddCwHYDleWPfj4+BCAAQAAKjF7lqvyJTgAAAC4FAIwAAAAXAoBGAAAAC6FNcBAZTRkSNntb71VvnXg+pX1Z+mqf458FgAqCQIwnBO2Kvs/dH+mvj/7OVWWz8Ko93zlNZXlfRmtqr6vP6M8f09cjdGfkzP+fjL67wxHXmPP68pTZficytON8GdynQjAldnVfkGuNTEre2ApzxBZnr/AFf2+jP6L2J7XGX08o2svz9+F8qj9Wn1/9L7+7PEqO6PflzM+J37Hr/268v4d/7O/d3+G0Z+TM/7O+DNu5L8zfocAjMqjsvxSVZY6gMqsvP5RvRH+h4q/M3CjcuHfBQIwgMrvBvpLFQBQ+XEXCAAAALgUAjAAAABcCgEYAAAALqVCA/CWLVvUs2dPBQcHy2Qyac2aNTb9Tz31lEwmk80WExNjM+bs2bOKi4uTj4+P/Pz8NHDgQBUUFNiMycjI0J133ikvLy+FhIRo+vTpzn5rAAAAqKTs+hJcWFiYTCaTXQfcu3ev3Sc/f/68OnbsqAEDBqh3795ljomJidGSJUus+56enjb9cXFxOn36tFJSUlRcXKz+/ftr8ODBWrFihSTJbDare/fuioqK0sKFC7V//34NGDBAfn5+Gjx4sN21AgAAoGqwKwD36tXL+vPFixc1f/58tW3bVpGRkZKkHTt26ODBg/r73//u0MljY2MVGxt7zTGenp4KCgoqs+/w4cPasGGDdu/erU6dOkmS5s2bpx49emjGjBkKDg7W8uXLVVRUpMWLF8vDw0Pt2rVTenq6Zs6cedUAXFhYqMLCQuu+2Wx26H0BAACg8rIrAE+aNMn689NPP61nn31WL7/8cqkxJ0+eNLY6Sd98840CAgJUp04d3XfffXrllVdUt25dSVJqaqr8/Pys4VeSoqKi5Obmpp07d+qRRx5Ramqq7rrrLnl4eFjHREdHa9q0aTp37pzq1KlT6pxJSUmaPHmy4e8FAAAAFc/hNcCrV6/Wk08+War9r3/9qz755BNDiroiJiZGy5Yt06ZNmzRt2jRt3rxZsbGxunz5siQpOztbAQEBNq+pVq2a/P39lZ2dbR0TGBhoM+bK/pUx/2vcuHHKy8uzbs4I9gAAAKgYDj8Iw9vbW9u2bVOLFi1s2rdt2yYvLy/DCpOkfv36WX9u3769OnTooJtuuknffPONunXrZui5fs/T07PUWmMAAABUDQ4H4BEjRmjo0KHau3evOnfuLEnauXOnFi9erAkTJhhe4O81a9ZM9erV07Fjx9StWzcFBQXpzJkzNmMuXbqks2fPWtcNBwUFKScnx2bMlf2rrS0GAABA1eVwAH7++efVrFkzzZkzRx988IEkqU2bNlqyZIkee+wxwwv8vVOnTumXX35RgwYNJEmRkZHKzc1VWlqawsPDJUlfffWVSkpKFBERYR3z4osvqri4WNWrV5ckpaSkqFWrVmWu/wUAAEDV5nAAlqTHHnvMkLBbUFCgY8eOWfczMzOVnp4uf39/+fv7a/LkyerTp4+CgoL0/fffa+zYsWrevLmio6Ml/Ra8Y2JiNGjQIC1cuFDFxcUaNmyY+vXrp+DgYEnSE088ocmTJ2vgwIF67rnndODAAc2ZM0ezZs267voBAABw4/lTD8LIzc3Vu+++qxdeeEFnz56V9Nv9f3/88UeHjrNnzx6FhYUpLCxMkpSYmKiwsDBNnDhR7u7uysjI0EMPPaSWLVtq4MCBCg8P17fffmuzPnf58uVq3bq1unXrph49eqhr1656++23rf2+vr7auHGjMjMzFR4erlGjRmnixIncAxgAAMBFOXwFOCMjQ1FRUfL19dXx48f19NNPy9/fX59++qlOnDihZcuW2X2se+65RxaL5ar9//rXv/7wGP7+/taHXlxNhw4d9O2339pdFwAAAKouh68AJyYm6qmnntLRo0dt7vrQo0cPbdmyxdDiAAAAAKM5HIB3796tIUOGlGpv2LDhVe+rCwAAAFQWDgdgT0/PMh8N/N1336l+/fqGFAUAAAA4i8MB+KGHHtKUKVNUXFwsSTKZTDpx4oSee+459enTx/ACAQAAACM5HIDfeOMNFRQUKCAgQL/++qvuvvtuNW/eXLVr19arr77qjBoBAAAAwzh8FwhfX1+lpKRo27Zt2rdvnwoKCnTrrbcqKirKGfUBAAAAhnI4AC9btkx9+/ZVly5d1KVLF2t7UVGRVq5cqSeffNLQAgEAAAAjObwEon///srLyyvVnp+fr/79+xtSFAAAAOAsDgdgi8Uik8lUqv3UqVPy9fU1pCgAAADAWexeAhEWFiaTySSTyaRu3bqpWrX/e+nly5eVmZmpmJgYpxQJAAAAGMXuANyrVy9JUnp6uqKjo1WrVi1rn4eHh5o2bcpt0AAAAFDp2R2AJ02aJElq2rSp+vXrJ09PT6cVBQAAADiLw2uA27Ztq/T09FLtO3fu1J49e4yoCQAAAHAahwNwQkKCTp48War9xx9/VEJCgiFFAQAAAM7icAA+dOiQbr311lLtYWFhOnTokCFFAQAAAM7icAD29PRUTk5OqfbTp0/b3BkCAAAAqIwcDsDdu3fXuHHjbB6GkZubqxdeeEH333+/ocUBAAAARnP4ku2MGTN01113qUmTJgoLC5P0263RAgMD9f777xteIAAAAGAkhwNww4YNlZGRoeXLl2vfvn3y9vZW//799fjjj6t69erOqBEAAAAwzJ9atFuzZk0NHjzY6FoAAAAAp7MrAK9du1axsbGqXr261q5de82xDz30kCGFAQAAAM5gVwDu1auXsrOzFRAQYH0kcllMJpMuX75sVG0AAACA4ewKwCUlJWX+DAAAANxouHEvrm3IkLLb33qrfOtA1cB8AgBUAnYF4Llz59p9wGeffdbusVu2bNHrr7+utLQ0nT59Wv/4xz9sllhYLBZNmjRJ77zzjnJzc9WlSxctWLBALVq0sI45e/asnnnmGa1bt05ubm7q06eP5syZo1q1alnHZGRkKCEhQbt371b9+vX1zDPPaOzYsXbXCQAAgKrDrgA8a9Ysm/2ffvpJFy5ckJ+fn6TfHoRRo0YNBQQEOBSAz58/r44dO2rAgAHq3bt3qf7p06dr7ty5eu+99xQaGqoJEyYoOjpahw4dkpeXlyQpLi5Op0+fVkpKioqLi9W/f38NHjxYK1askCSZzWZ1795dUVFRWrhwofbv368BAwbIz8+PO1kAAAC4ILsCcGZmpvXnFStWaP78+Vq0aJFatWolSTpy5IgGDRqkIVf7782riI2NVWxsbJl9FotFs2fP1vjx4/Xwww9LkpYtW6bAwECtWbNG/fr10+HDh7Vhwwbt3r1bnTp1kiTNmzdPPXr00IwZMxQcHKzly5erqKhIixcvloeHh9q1a6f09HTNnDmTAFxVlDXv+C91AABwFQ4/CnnChAmaN2+eNfxKUqtWrTRr1iyNHz/esMIyMzOVnZ2tqKgoa5uvr68iIiKUmpoqSUpNTZWfn581/EpSVFSU3NzctHPnTuuYu+66Sx4eHtYx0dHROnLkiM6dO1fmuQsLC2U2m202AAAAVA0OB+DTp0/r0qVLpdovX76snJwcQ4qSpOzsbElSYGCgTXtgYKC178qt2X6vWrVq8vf3txlT1jF+f47/lZSUJF9fX+sWEhJy/W8IAAAAlYLDAbhbt24aMmSI9u7da21LS0vT0KFDba7W3sjGjRunvLw863by5MmKLgkAAAAGcTgAL168WEFBQerUqZM8PT3l6empzp07KzAwUO+++65hhQUFBUlSqavKOTk51r6goCCdOXPGpv/SpUs6e/aszZiyjvH7c/wvT09P+fj42GwAAACoGhwOwPXr19fnn3+u//znP1q9erVWr16tw4cP6/PPPy+1HOF6hIaGKigoSJs2bbK2mc1m7dy5U5GRkZKkyMhI5ebmKi0tzTrmq6++UklJiSIiIqxjtmzZouLiYuuYlJQUtWrVSnXq1DGsXgAAANwY/vSDMJo2bSqLxaKbbrpJ1ar9ucMUFBTo2LFj1v3MzEylp6fL399fjRs31ogRI/TKK6+oRYsW1tugBQcHW+8V3KZNG8XExGjQoEFauHChiouLNWzYMPXr10/BwcGSpCeeeEKTJ0/WwIED9dxzz+nAgQOaM2dOqVu7AcA18RAPAKgyHL4CfOHCBQ0cOFA1atRQu3btdOLECUnSM888o6lTpzp0rD179igsLExhYWGSpMTERIWFhWnixImSpLFjx+qZZ57R4MGDddttt6mgoEAbNmyw3gNYkpYvX67WrVurW7du6tGjh7p27aq3337b2u/r66uNGzcqMzNT4eHhGjVqlCZOnMgt0AAAAFyUw5dux40bp3379umbb75RTEyMtT0qKkovvfSSnn/+ebuPdc8998hisVy132QyacqUKZoyZcpVx/j7+1sfenE1HTp00Lfffmt3XQAAAKi6HA7Aa9as0apVq3T77bfLZDJZ29u1a6fvv//e0OIAAAAAozm8BOKnn34q88tu58+ftwnEAAAAQGXkcADu1KmTPvvsM+v+ldD77rvvWu/OAAAAAFRWDi+BeO211xQbG6tDhw7p0qVLmjNnjg4dOqTt27dr8+bNzqgRAAAAMIzDV4C7du2qffv26dKlS2rfvr02btyogIAApaamKjw83Bk1AgAAAIZx6ApwcXGxhgwZogkTJuidd95xVk0AAACA0zgUgKtXr65PPvlEEyZMcFY9uJGU9WAAHgoAAAAqOYeXQPTq1Utr1qxxQikAAACA8zn8JbgWLVpoypQp2rZtm8LDw1WzZk2b/meffdaw4gAAAACjORyAFy1aJD8/P6WlpSktLc2mz2QyEYABAABQqTkcgDMzM51RBwAAAFAuHArAO3bs0Lp161RUVKRu3bopJibGWXUBAAAATmF3AP7444/Vt29feXt7q3r16po5c6amTZum0aNHO7M+AAAAwFB23wUiKSlJgwYNUl5ens6dO6dXXnlFr732mjNrAwAAAAxndwA+cuSIRo8eLXd3d0nSqFGjlJ+frzNnzjitOAAAAMBodgfgCxcuyMfHx7rv4eEhLy8vFRQUOKUwAAAAwBkc+hLcu+++q1q1aln3L126pKVLl6pevXrWNm6DBgAAgMrM7gDcuHFjvfPOOzZtQUFBev/996373AcYAAAAlZ3dAfj48eNOLAMAAAAoH3avAQYAAACqAgIwAAAAXAoBGAAAAC6FAAwAAACXQgAGAACAS7E7AGdlZWn06NEym82l+vLy8jRmzBjl5OQYWtxLL70kk8lks7Vu3draf/HiRSUkJKhu3bqqVauW+vTpU6qGEydO6IEHHlCNGjUUEBCgMWPG6NKlS4bWCQAAgBuH3QF45syZMpvNNk+Du8LX11f5+fmaOXOmocVJUrt27XT69GnrtnXrVmvfyJEjtW7dOq1evVqbN29WVlaWevfube2/fPmyHnjgARUVFWn79u167733tHTpUk2cONHwOgEAAHBjsDsAb9iwQU8++eRV+5988kmtX7/ekKJ+r1q1agoKCrJuV546l5eXp0WLFmnmzJm67777FB4eriVLlmj79u3asWOHJGnjxo06dOiQPvjgA91yyy2KjY3Vyy+/rOTkZBUVFRleKwAAACo/uwNwZmamGjdufNX+Ro0aOeVhGUePHlVwcLCaNWumuLg4nThxQpKUlpam4uJiRUVFWce2bt1ajRs3VmpqqiQpNTVV7du3V2BgoHVMdHS0zGazDh48eNVzFhYWymw222wAAACoGuwOwN7e3tcMuMePH5e3t7cRNVlFRERo6dKl2rBhgxYsWKDMzEzdeeedys/PV3Z2tjw8POTn52fzmsDAQGVnZ0uSsrOzbcLvlf4rfVeTlJQkX19f6xYSEmLo+wIAAEDFsftRyBEREXr//fd11113ldm/bNkyde7c2bDCJCk2Ntb6c4cOHRQREaEmTZroo48+Mjxs/964ceOUmJho3TebzYRgAACAKsLuADx69Gjdf//98vX11ZgxY6xXUnNycjR9+nQtXbpUGzdudFqhkuTn56eWLVvq2LFjuv/++1VUVKTc3Fybq8A5OTkKCgqSJAUFBWnXrl02x7hyl4grY8ri6ekpT09P498AAAAAKpzdSyDuvfdeJScn680331RwcLDq1Kkjf39/BQcHKzk5WfPmzdN9993nzFpVUFCg77//Xg0aNFB4eLiqV6+uTZs2WfuPHDmiEydOKDIyUpIUGRmp/fv368yZM9YxKSkp8vHxUdu2bZ1aKwAAAConu68AS9KQIUP04IMP6qOPPtKxY8dksVjUsmVLPfroo2rUqJHhxY0ePVo9e/ZUkyZNlJWVpUmTJsnd3V2PP/64fH19NXDgQCUmJsrf318+Pj565plnFBkZqdtvv12S1L17d7Vt21Z/+9vfNH36dGVnZ2v8+PFKSEjgCi8AAICLcigAS1LDhg01cuRIZ9RSyqlTp/T444/rl19+Uf369dW1a1ft2LFD9evXlyTNmjVLbm5u6tOnjwoLCxUdHa358+dbX+/u7q7169dr6NChioyMVM2aNRUfH68pU6aUS/0AAACofOwOwHPnzi2z3dfXVy1btrQuOzDSypUrr9nv5eWl5ORkJScnX3VMkyZN9PnnnxtdGgAAAG5QdgfgWbNmldmem5urvLw83XHHHVq7dq38/f0NKw4AAAAwmkMPwihrO3funI4dO6aSkhKNHz/embUCAAAA183uAHwtzZo109SpU51+GzQAAADgehkSgCWpcePG13y6GgAAAFAZGBaA9+/fryZNmhh1OAAAAMAp7P4SnNlsLrM9Ly9PaWlpGjVqlOLj4w0rDAAAAHAGuwOwn5+fTCZTmX0mk0lPP/20nn/+ecMKAwAAAJzB7gD89ddfl9nu4+OjFi1aqFatWoYVBQAAADiL3QH47rvv/sMxBw4c0M0333xdBQEAAADOdN1fgsvPz9fbb7+tzp07q2PHjkbUBAAAADjNnw7AW7ZsUXx8vBo0aKAZM2bovvvu044dO4ysDQAAADCc3UsgJCk7O1tLly7VokWLZDab9dhjj6mwsFBr1qxR27ZtnVUjAAAAYBi7rwD37NlTrVq1UkZGhmbPnq2srCzNmzfPmbUBAAAAhrP7CvAXX3yhZ599VkOHDlWLFi2cWRMAAADgNHZfAd66davy8/MVHh6uiIgIvfnmm/r555+dWRsAAABgOLsD8O2336533nlHp0+f1pAhQ7Ry5UoFBwerpKREKSkpys/Pd2adAAAAgCEcvgtEzZo1NWDAAG3dulX79+/XqFGjNHXqVAUEBOihhx5yRo0AAACAYa7rPsCtWrXS9OnTderUKX344YdG1QQAAAA4zXU/CEOS3N3d1atXL61du9aIwwEAAABOY0gABgAAAG4UBGAAAAC4FAIwAAAAXAoBGAAAAC6FAAwAAACX4lIBODk5WU2bNpWXl5ciIiK0a9euii4JAAAA5cxlAvCqVauUmJioSZMmae/everYsaOio6N15syZii4NAAAA5chlAvDMmTM1aNAg9e/fX23bttXChQtVo0YNLV68uKJLAwAAQDmqVtEFlIeioiKlpaVp3Lhx1jY3NzdFRUUpNTW11PjCwkIVFhZa9/Py8iRJZrPZ+cX+XlFR6Tazuez2a/Vdqduo45Xnuf7oeOV5Lj4n5xyvPM/F52TM8crzXHxOzjleeZ7rRq69PM9VlWsvJ1dymsVi+cOxJos9o25wWVlZatiwobZv367IyEhr+9ixY7V582bt3LnTZvxLL72kyZMnl3eZAAAAuE4nT55Uo0aNrjnGJa4AO2rcuHFKTEy07peUlOjs2bOqW7euTCZTudZiNpsVEhKikydPysfHp1zPjcqNuYGyMC9wNcwNlKUqzQuLxaL8/HwFBwf/4ViXCMD16tWTu7u7cnJybNpzcnIUFBRUarynp6c8PT1t2vz8/JxZ4h/y8fG54ScmnIO5gbIwL3A1zA2UparMC19fX7vGucSX4Dw8PBQeHq5NmzZZ20pKSrRp0yabJREAAACo+lziCrAkJSYmKj4+Xp06dVLnzp01e/ZsnT9/Xv3796/o0gAAAFCOXCYA9+3bVz/99JMmTpyo7Oxs3XLLLdqwYYMCAwMrurRr8vT01KRJk0otyQCYGygL8wJXw9xAWVx1XrjEXSAAAACAK1xiDTAAAABwBQEYAAAALoUADAAAAJdCAAYAAIBLIQBXcsnJyWratKm8vLwUERGhXbt2VXRJKEdJSUm67bbbVLt2bQUEBKhXr146cuSIzZiLFy8qISFBdevWVa1atdSnT59SD31B1TZ16lSZTCaNGDHC2sa8cF0//vij/vrXv6pu3bry9vZW+/bttWfPHmu/xWLRxIkT1aBBA3l7eysqKkpHjx6twIpRHi5fvqwJEyYoNDRU3t7euummm/Tyyy/r9/dCcKW5QQCuxFatWqXExERNmjRJe/fuVceOHRUdHa0zZ85UdGkoJ5s3b1ZCQoJ27NihlJQUFRcXq3v37jp//rx1zMiRI7Vu3TqtXr1amzdvVlZWlnr37l2BVaM87d69W2+99ZY6dOhg0868cE3nzp1Tly5dVL16dX3xxRc6dOiQ3njjDdWpU8c6Zvr06Zo7d64WLlyonTt3qmbNmoqOjtbFixcrsHI427Rp07RgwQK9+eabOnz4sKZNm6bp06dr3rx51jEuNTcsqLQ6d+5sSUhIsO5fvnzZEhwcbElKSqrAqlCRzpw5Y5Fk2bx5s8VisVhyc3Mt1atXt6xevdo65vDhwxZJltTU1IoqE+UkPz/f0qJFC0tKSorl7rvvtgwfPtxisTAvXNlzzz1n6dq161X7S0pKLEFBQZbXX3/d2pabm2vx9PS0fPjhh+VRIirIAw88YBkwYIBNW+/evS1xcXEWi8X15gZXgCupoqIipaWlKSoqytrm5uamqKgopaamVmBlqEh5eXmSJH9/f0lSWlqaiouLbeZJ69at1bhxY+aJC0hISNADDzxg8+cvMS9c2dq1a9WpUyf95S9/UUBAgMLCwvTOO+9Y+zMzM5WdnW0zN3x9fRUREcHcqOLuuOMObdq0Sd99950kad++fdq6datiY2Mlud7ccJknwd1ofv75Z12+fLnUk+oCAwP1n//8p4KqQkUqKSnRiBEj1KVLF918882SpOzsbHl4eMjPz89mbGBgoLKzsyugSpSXlStXau/evdq9e3epPuaF6/rhhx+0YMECJSYm6oUXXtDu3bv17LPPysPDQ/Hx8dY//7L+bWFuVG3PP/+8zGazWrduLXd3d12+fFmvvvqq4uLiJMnl5gYBGLhBJCQk6MCBA9q6dWtFl4IKdvLkSQ0fPlwpKSny8vKq6HJQiZSUlKhTp0567bXXJElhYWE6cOCAFi5cqPj4+AquDhXpo48+0vLly7VixQq1a9dO6enpGjFihIKDg11ybrAEopKqV6+e3N3dS31rOycnR0FBQRVUFSrKsGHDtH79en399ddq1KiRtT0oKEhFRUXKzc21Gc88qdrS0tJ05swZ3XrrrapWrZqqVaumzZs3a+7cuapWrZoCAwOZFy6qQYMGatu2rU1bmzZtdOLECUmy/vnzb4vrGTNmjJ5//nn169dP7du319/+9jeNHDlSSUlJklxvbhCAKykPDw+Fh4dr06ZN1raSkhJt2rRJkZGRFVgZypPFYtGwYcP0j3/8Q1999ZVCQ0Nt+sPDw1W9enWbeXLkyBGdOHGCeVKFdevWTfv371d6erp169Spk+Li4qw/My9cU5cuXUrdKvG7775TkyZNJEmhoaEKCgqymRtms1k7d+5kblRxFy5ckJubbexzd3dXSUmJJBecGxX9LTxc3cqVKy2enp6WpUuXWg4dOmQZPHiwxc/Pz5KdnV3RpaGcDB061OLr62v55ptvLKdPn7ZuFy5csI75f//v/1kaN25s+eqrryx79uyxREZGWiIjIyuwalSE398FwmJhXriqXbt2WapVq2Z59dVXLUePHrUsX77cUqNGDcsHH3xgHTN16lSLn5+f5Z///KclIyPD8vDDD1tCQ0Mtv/76awVWDmeLj4+3NGzY0LJ+/XpLZmam5dNPP7XUq1fPMnbsWOsYV5obBOBKbt68eZbGjRtbPDw8LJ07d7bs2LGjoktCOZJU5rZkyRLrmF9//dXy97//3VKnTh1LjRo1LI888ojl9OnTFVc0KsT/BmDmhetat26d5eabb7Z4enpaWrdubXn77bdt+ktKSiwTJkywBAYGWjw9PS3dunWzHDlypIKqRXkxm82W4cOHWxo3bmzx8vKyNGvWzPLiiy9aCgsLrWNcaW6YLJbfPQIEAAAAqOJYAwwAAACXQgAGAACASyEAAwAAwKUQgAEAAOBSCMAAAABwKQRgAAAAuBQCMAAAAFwKARgAAAAuhQAMAC5o6dKl8vPzq+gyAKBCEIABoJJ56qmnZDKZZDKZVL16dYWGhmrs2LG6ePGiYefo27evvvvuO8OOBwA3kmoVXQAAoLSYmBgtWbJExcXFSktLU3x8vEwmk6ZNm2bI8b29veXt7W3IsQDgRsMVYACohDw9PRUUFKSQkBD16tVLUVFRSklJkSSVlJQoKSlJoaGh8vb2VseOHfXxxx/bvH7t2rVq0aKFvLy8dO+99+q9996TyWRSbm6upLKXQCxYsEA33XSTPDw81KpVK73//vs2/SaTSe+++64eeeQR1ahRQy1atNDatWut/efOnVNcXJzq168vb29vtWjRQkuWLDH+wwGA60QABoBK7sCBA9q+fbs8PDwkSUlJSVq2bJkWLlyogwcPauTIkfrrX/+qzZs3S5IyMzP16KOPqlevXtq3b5+GDBmiF1988Zrn+Mc//qHhw4dr1KhROnDggIYMGaL+/fvr66+/thk3efJkPfbYY8rIyFCPHj0UFxens2fPSpImTJigQ4cO6YsvvtDhw4e1YMEC1atXzwmfCABcH5PFYrFUdBEAgP/z1FNP6YMPPpCXl5cuXbqkwsJCubm56aOPPtKDDz4of39/ffnll4qMjLS+5umnn9aFCxe0YsUKPf/88/rss8+0f/9+a//48eP16quv6ty5c/Lz89PSpUs1YsQI6xXhLl26qF27dnr77betr3nsscd0/vx5ffbZZ5J+uwI8fvx4vfzyy5Kk8+fPq1atWvriiy8UExOjhx56SPXq1dPixYvL4VMCgD+PNcAAUAnde++9WrBggc6fP69Zs2apWrVq6tOnjw4ePKgLFy7o/vvvtxlfVFSksLAwSdKRI0d022232fR37tz5muc7fPiwBg8ebNPWpUsXzZkzx6atQ4cO1p9r1qwpHx8fnTlzRpI0dOhQ9enTR3v37lX37t3Vq1cv3XHHHY69cQAoBwRgAKiEatasqebNm0uSFi9erI4dO2rRokW6+eabJUmfffaZGjZsaPMaT09Pp9dVvXp1m32TyaSSkhJJUmxsrP773//q888/V0pKirp166aEhATNmDHD6XUBgCNYAwwAlZybm5teeOEFjR8/Xm3btpWnp6dOnDih5s2b22whISGSpFatWmnPnj02x9i9e/c1z9GmTRtt27bNpm3btm1q27atQ7XWr19f8fHx+uCDDzR79mybJRUAUFlwBRgAbgB/+ctfNGbMGL311lsaPXq0Ro4cqZKSEnXt2lV5eXnatm2bfHx8FB8fryFDhmjmzJl67rnnNHDgQKWnp2vp0qWSfrtiW5YxY8boscceU1hYmKKiorRu3Tp9+umn+vLLL+2uceLEiQoPD1e7du1UWFio9evXq02bNka8fQAwFAEYAG4A1apV07BhwzR9+nRlZmaqfv36SkpK0g8//CA/Pz/deuuteuGFFyRJoaGh+vjjjzVq1CjNmTNHkZGRevHFFzV06NCrLpPo1auX5syZoxkzZmj48OEKDQ3VkiVLdM8999hdo4eHh8aNG6fjx4/L29tbd955p1auXGnE2wcAQ3EXCABwAa+++qoWLlyokydPVnQpAFDhuAIMAFXQ/Pnzddttt6lu3bratm2bXn/9dQ0bNqyiywKASoEADABV0NGjR/XKK6/o7Nmzaty4sUaNGqVx48ZVdFkAUCmwBAIAAAAuhdugAQAAwKUQgAEAAOBSCMAAAABwKQRgAAAAuBQCMAAAAFwKARgAAAAuhQAMAAAAl0IABgAAgEv5/46DcIMEMlsDAAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2, figsize=(8, 3.5), sharex=True)\n",
"ax[0].bar(np.arange(auc_obs.shape[0]), -auc_obs, color='g', alpha=0.6)\n",
"ax[1].bar(np.arange(auc_ppc.shape[0]), -auc_ppc, color='r', alpha=0.6);\n",
"ax[1].set_xlabel(\"Regions\");\n",
"ax[0].set_ylabel(r\"AUC Observed\");\n",
"ax[1].set_ylabel(r\"AUC Predicted\");\n",
"plt.savefig(join(path, \"auc_observed_vs_predicted.png\"), dpi=300);"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"np.savez(join(path, \"auc.npz\"), auc_obs=auc_obs, auc_ppc=auc_ppc)"
]
}
],
"metadata": {
"language_info": {
"name": "python"
}
},
"nbformat": 4,
"nbformat_minor": 2
}