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@floringogianu
Created May 27, 2020 18:58
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Some small experiment.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MSE vs MLE with a Beta distribution\n",
"\n",
"\n",
"In which we look at which of these two is more efficient in learning a beta distribution:\n",
"\n",
"- A simple MSE loss function\n",
"- Or MLE on the Beta log prob of some samples"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import torch\n",
"from torch import nn\n",
"from torch.distributions import Beta, Normal\n",
"from matplotlib import pyplot as plt\n",
"import seaborn as sns\n",
"sns.set()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We first generate some data. Assume we have 10 sensors, each measuring the normalized distance from the vehicle to an object. We will model these sensory readings as coming from independent Beta distributions with different concentration parameters for each sensor. This is consistent with the measurements being close to 1.0 on the right side of the vehicle (few objects) and many more close objects on the left side.\n",
"\n",
"Then we use a non-linear function with random weigths to project the labels to some other space so that we get our inputs $X$. While we won't learn to predict a sequence from a history of sensory readings, we are still required to learn this non-linear function $y = f(x; \\omega)$, which makes the problem at least as difficult."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# generate some targets from a Beta distribution\n",
"concentrations = [2.0, 1.9, 1.8, 1.7, 1.3, 1.0, 0.8, 0.5, 0.4, 0.3]\n",
"Ys = torch.cat([Beta(5.0, β).sample((60000,1)) for β in concentrations], 1)\n",
"# use a non-liniar random function to generate some Xs\n",
"mock_dynamics = nn.Sequential(nn.Linear(10, 32), nn.ReLU(), nn.Linear(32, 5), nn.Linear(5, 10))\n",
"Xs = mock_dynamics(Ys).detach()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(18, 5))\n",
"for ax, dset, title in zip(axes, [Ys, Xs], [\"Y density for each sensor\", \"X density for each sensor\"]):\n",
" for sensor in range(len(concentrations)):\n",
" sns.kdeplot(dset[:, sensor].numpy(), ax=ax)\n",
" ax.set_title(title)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Train some models"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from torch.utils.data.dataset import TensorDataset\n",
"from torch.utils.data import DataLoader\n",
"from torch.nn import functional as F\n",
"from torch.optim import Adam"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"train_set = TensorDataset(Xs, Ys)\n",
"train_loader = DataLoader(train_set, batch_size=32, shuffle=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First, with the classic MSE loss "
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"model = nn.Sequential(nn.Linear(10, 128), nn.ReLU(), nn.Linear(128, 128), nn.ReLU(), nn.Linear(128, 10))\n",
"optim = Adam(model.parameters())"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"err0, preds = [], []\n",
"for i, (xs, ys) in enumerate(train_loader):\n",
" optim.zero_grad()\n",
" \n",
" pred = model(xs)\n",
" loss = F.mse_loss(pred, ys)\n",
" \n",
" loss.backward()\n",
" optim.step()\n",
" \n",
" err0.append(loss.item())\n",
" preds.append(pred.detach())"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f81329b6d60>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=list(range(len(err0))), y=err0)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"preds = torch.cat(preds)\n",
"for sensor in range(len(concentrations)):\n",
" sns.kdeplot(preds[:, sensor].numpy())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Second, maximizing the probability of a Beta distribution\n",
"\n",
"The general idea is we assume the sensory data is coming from a Beta distribution with unknown parameters.\n",
"\n",
"Therefore we parametrize a Beta distribution with a neural network and try to learn the parameters of the Beta distribution by maximizing the log_probability of a sample comming from the parametrized distibution."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"prob_model = nn.Sequential(nn.Linear(10, 128), nn.ReLU(), nn.Linear(128, 128), nn.ReLU(), nn.Linear(128, 20))\n",
"optim = Adam(prob_model.parameters(), lr=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"err1, preds = [], []\n",
"\n",
"for i, (xs, ys) in enumerate(train_loader):\n",
" optim.zero_grad()\n",
" \n",
" θ = prob_model(xs).view(ys.shape[0], 2, 10)\n",
" β = Beta(θ[:, 0], θ[:, 1])\n",
" \n",
" loss = -β.log_prob(ys).sum(1).mean(0)\n",
" \n",
" loss.backward()\n",
" optim.step()\n",
" \n",
" ys_ = β.sample()\n",
" err1.append(F.mse_loss(ys_, ys).item())\n",
" preds.append(ys_)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f81325406a0>"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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EGQ49/Pz8fMTGxiIsLAwKhQKJiYnIzc3l9+t0OixduhQREREAgH79+uHKlSsAgGPHjiErKwtqtRoLFy7kPX+vwzCk9wRBEGY4FPySkhIolUp+W6VSQaPR8NudO3fG2LFjAQB1dXVYv3497rvvPgCAUqnEvHnzsGPHDnTr1g3Lly/3tP1WoeJpBEEQljgM6RgMBlExMpZlrRYnq6qqwvz589G/f3/cf//9AIC1a9fy+2fNmsVfGJzFXjNee/j5ycDC2FhYykjdPkD6NkrdPoBs9ARStw9oGzY6FPzIyEgUFhby21qtFiqVSjSmpKQEjz/+OGJjY/HCCy8AMF4Atm3bhhkzZgAwXijkcrlLxpWVVcNgcN1T1+sNAAtJdJG3hVS63NtD6jZK3T6AbPQEUrcPkI6NMhlj11F2GNKJi4tDQUEBysvLUVtbi7y8PMTHx/P79Xo9nnzySYwfPx5LlizhvX+FQoGNGzfiyJEjAIDNmze77OG7C8MwlKVDEARhhkMPPyIiAmlpaUhNTYVOp8OUKVMQHR2N2bNnY8GCBbh69Sp+//136PV67Nq1CwAwcOBAvPrqq1i9ejWWLVuGuro69O7dGytXrvT6GwJcK55WeKIEt3TviPCOQV61iSAIorVxKPgAoFaroVarRY9t2LABADBo0CCcOHHC6nExMTHIyspqpolu4GTtNAPLYl12Ebp0DMIb8+K8axNBEEQr46MrbZ3L0uHmB8qu1+HrgnNetYkgCKK18UnBh5OlFYQXha/yz3vRHoIgiNbHJwXf2Za2BoPpf8rbJwjC1/FNwYdzk7YGwSADCT5BED6OTwq+s8XThCKvdyPfnyAIoi3hk4LvbHlk4aIucvAJgvB1fFLwnU/L9K4ZBEEQUsInBd/VtEyCIIj2gG8KPuNcOXwSfIIg2hM+KfhNs7YOocwcgiDaEz4p+AzjZEiHBJ8giHaEbwo+KKRDEARhjk8KvrOKT3pPEER7wicFn4Fz9fDZNqD4mvIb0DUaHA8kCIJwgE8KPhjXSytIkdr6Rjy//hd89M3x1jaFIAgfwCcF38l1V5IX/LoGPQCg4DcNVm093MrWEATR1nFK8HNycpCUlISEhARkZmZa7P/uu++QkpKCiRMnYt68eaisrAQAFBcXY/r06Rg3bhzmzp2Lmpoaz1pvA6eLp7WhSMlvZ8tb2wSCINo4DgVfo9EgIyMDW7ZsQXZ2NrZu3YrTp0/z+6urq7Fs2TKsX78eO3bsQL9+/bBmzRoAwEsvvYRp06YhNzcXAwcOxLp167z3ToQ42dNW6h6+J7he04Dfz5XjsrYaAFByrRYlFTda2SqCIFoDh4Kfn5+P2NhYhIWFQaFQIDExEbm5ufx+nU6HpUuXIiIiAgDQr18/XLlyBTqdDvv370diYiIA4IEHHhAd502c9/ClLfieqNH/7Jr/4s1PD+OfH/wKAEh/rwDp7//S7OclCKLt4VDwS0pKoFQq+W2VSgWNRsNvd+7cGWPHjgUA1NXVYf369bjvvvtQUVGBkJAQ+PkZ2+YqlUrRcd7E2QYovt70xNffH0EQruGwibnBYAAjUFCWZUXbHFVVVZg/fz769++P+++/HxqNxmKctePs0aVLiEvjOQIC/NCoN0CpDLU7rvhanWi7a9cQl21sDo7sK63WuTTenEa9eJKiQ2iQy8/l6mu2NFK3DyAbPYHU7QPaho0OBT8yMhKFhYX8tlarhUqlEo0pKSnB448/jtjYWLzwwgsAgPDwcFRVVUGv10Mul1s9zhFlZdVuhV10Oj3AMNBqq+yO++bnP0XbVzXX4SdvmcQlpTLUoX1vbi4UbTsab059U5YPx0NLdrr0XM7Y2JpI3T6AbPQEUrcPkI6NMhlj11F2qG5xcXEoKChAeXk5amtrkZeXh/j4eH6/Xq/Hk08+ifHjx2PJkiW8h+zv74+YmBjs3GkUmezsbNFxUuDnY1dF21LrelWv0zseZIfGtpSGRBCE13Ho4UdERCAtLQ2pqanQ6XSYMmUKoqOjMXv2bCxYsABXr17F77//Dr1ej127dgEABg4ciFdffRVLly5Feno63n33XXTr1g1vvfWW198QYIzhu5OBo9ezgL8XDHIT85CMq5Rfr/eQJQRB+AIOBR8A1Go11Gq16LENGzYAAAYNGoQTJ05YPS4qKgqffPJJM010HWeLp5kjpTRNXaMeNXWNzXqOVZ8e8pA1BEH4Aj650tbpDihm6JvpUXuS/SdKmv0c12/oHA8iCKLd4JOCb/TwHSt+qEIcv/mz+LqXLCIIgmh9fFLwnS2edlOEOI1qzfZjXjLIdVoyPZQgiPaBTwq+sTyyY8xDOOYef2tiTe/z9l9seUMIgvAZfFPwnaytYJ6GGT+4u5csch2ZFcX/9PtTHnt+TcUNlF+vczyQIAifwScFH3C+xWGUsgPkMqO4SilLp7kUl9qvTPr8+79g4bp8AFSCgSDaCz4p+M4WT2s0sOjSMQgbFo8GAHxfeMm7hrmANQ/fFW44mdK5ZttRPLX6x2a9FkEQbQPfFHwn0zINBlYkrA2NBlwpa5ma/Y6orGlo1vHO3q0cOlWK2vrmreglCKJt4JOCDziXlmkwsHw4R2pkfnuyWcefu+JaiqmeyjAQhM/jk4LPuNDTljETfHkLFU/zJkdOl+LT3acdDxTQ2EhxfILwddq+ujUDqx6+CxOYBb9dxcwVu1Fb37wSCJ7mvEZcta9bF4XDY3QSWmVMEIR38EnBZxjGqcwTvYEFp/chwf78Y87y2Q9GL3pLM8Mv3mZsTE+HY3SNJPgE4ev4puDDubRMljVN2v5Pwm0AAFcqJFfVGGvV/Fx01cFI9/nHtKHw92vex+RMwg95+ATh+/ik4DtbWsHAGhsGAKY0SNYFxZcJwkEHT2pds9FJOocGNrv3rjNlGsjDlw5llXV803mC8CQ+KfhN0u1wnN7A8qLNiaIri6+EmS3rd/zmiolO4yeXNasxyz+mDXVqXCMJvmRY9G4+33SeIDyJTwo+GMY5D1+Qhy9rOhPb9v5p5wgxwtdo8JJg+vnJ0JzE0X43dXbqePLwncPAsvjXB/tw4I/ml68miJbGKcHPyclBUlISEhISkJmZaXPc4sWLsX37dn47KysLI0aMQEpKClJSUpCRkdF8i53A2ZW2whg+9/fYn2W4Vi2dTlH+chmapfhwNqRDi6+cob5Bj0vaGnzw9fHWNoUgXMZhxyuNRoOMjAxs374dAQEBmDp1KoYPH46+ffuKxixduhQFBQWIjY3lHy8qKkJ6ejqSk5O9Y70NjPrmWkhHmJ7Z3LIGnsRRU/WZK3bjnkGReHzCHfxj2T+dFY1x5u146w7F1+Cyv6h8NdEWcejh5+fnIzY2FmFhYVAoFEhMTERubq5oTE5ODu69916MHz9e9PixY8eQlZUFtVqNhQsXorKy0rPW28HZhVdcKEe4AMudYmJBAXKXj3EGPznj8AJk3ozdHLncuUlbXaOeCqk5gJtOIbkn2iIOBb+kpARKpZLfVqlU0Gg0ojGzZs3Cgw8+aHGsUqnEvHnzsGPHDnTr1g3Lly/3gMmOYRjn6uEbDCZvXngi3JkjHXqr0vEgF+AWS3nCk4zpp8L42Jvsjvnh0GXMeXMvvtl3odmv58sYeA+/lQ0hCDdwGNIxGAwi0WFZ1mkRWrt2Lf//rFmzMHbsWJeM69IlxKXxHEGB/gALKJWhdsexLIuQkEAolaEorjDVhg8P74CuYcEuvaa/v9zh65ljb3x4p2B0CQuGUhmKuOju+OnwZbvHOHp83oND8c0vRjFfNjsWH331u6jezvHzFQCMvXQfVQ90ykYp0JL2nS2uRH1T5Esulzn92u7a2JLvjT7n5tMWbHQo+JGRkSgsLOS3tVotVCqVwyeuqqrCtm3bMGPGDABGcZXLXQt7lJVVu5WDXt+gAwsWWm2V3XF6A4u6Wh202irU1pomaktLq8HqXCuXUFPb4PD1hCiVoXbH6xoaIZMx0GqrMPmvN/OCb+sY7nHzap/C8S/PGg693oCbuijQtWMgzl2xfB693sAf48jG1qal7Vuwao9pg3X8/QKaZ2NLvTf6nJuPVGyUyRi7jrLDkE5cXBwKCgpQXl6O2tpa5OXlIT4+3uELKxQKbNy4EUeOHAEAbN682WUP312cydLhbs25SVuVwKN3J46t17PI/PYkXtt8wOVjrdoHUzinY4cAdOwQYDlGcDH87Ww5AOD1zIM2nzOqawe+j69MglVCfzpajOpaXWubAQA4eqYMM1fsxvmrVdAbDCg8IU7DbIlJ2yUbfsHV8htefx2i/eBQ8CMiIpCWlobU1FRMmjQJycnJiI6OxuzZs3HsmO2m33K5HKtXr8ayZcswfvx4/Pbbb1i0aJFHjbeN4xg+J5ac8IUqApCa2M+4z41XbDQY8P2BSzh1yTMT08bQmWn7r9HdLCZvdx80NWz58mdjZk69zjnrbQn+JW3r9AO4UlaDTTtP4P0vi1rl9c3Zc8h4R/XSR/vx4dcnsC5bbFdLxPCvlN3Arl9pToXwHA5DOgCgVquhVqtFj23YsMFi3IoVK0TbMTExyMrKaoZ57uFMT1te8AU/3EB/Y8jJlfIKHHq96RhX5jlswoq9SONEtNiuCsF6AWtXbntVMrlnju7TBUfPlDXHUo/Anb9r1c1r/OIpAvxNZ7TgN8ssqJZKy9x7uBhnLl/H8sf/0iKvR/g2PrnS1pniaeYhHcDktTlbXqGH0hgru6V7R1H5g0YPFCIzsGIv0to1bPfBy/z/3PsQlntY8kiMnVcwjr+rvwq9IsWTTZdKWr6Oi6vn3tv8etz+SlpnI2InzpU3uy7OJaqrQ3gInxR8Z4qnnTh/DQBQes2UncOJprOa4+/HYOAt4QgOkEMvEHlPLGJiWRYMLC9GQuob9IL9TYIvuNNQBNm+gTO/mAgRhopaCs5+iei9EzDI/ulP5OSfw0ffnEDptVqroxat+Ynq4hCSwamQTluDcULxfzpaDAA4eema6bgm0fm56AoeHNXX6nFCWLYpj1/OoKHRNNnYoDOgQ5A7lgueG9ZF3la46Pj5CjTqDU6tPxA/n+XrtIbmcja0lYVfcjmDHT+f47e112qx6GHnCtURRGvhux6+gyGcrsiFcfKmv9/8cgEFTtS4559DxuCiIAziidrywjo/gKB8s51jGnTO18Phntk4LyCdjB0p6L0zqcDmE+ht5UJFtG98UvCdScvUG6zF8E3//3D4ssUx5rAwivKhU6Wix384eAkzV+xG1Q33JyAt7HfKA3ZeuCfE9UYPZQcMvVVp4eG3hvxzIiuFGH5xmeNMpeakS1bX6uxWJw1V+Fs8pml6vf/NPYGVW2yn3hKEPXxT8JuKpxWeKLHZb9bQNLkpLppm2u9MfXhb2rTr14sAgGfe/i+K/nQvA8Y81MIIHrd5jAvBmMhwBZY/Phwhwf64e0CkWzZ6Es6p9obeN+j0KKusczyQH+/eHdolbbVTnv6C//yEt784YnN/JytrLj7fcwbl1+uw93AxTly4htr6Ro8kBxDtC58UfIBB+fV6rMsuwoc2ythyHj5jI92iUe/4h2st/m3Oth+dr68vem6IQzrOJH672xlrzJ1RWPnk3fx2nQuhIU/B2e7KRctZ1mUXYdG7+XbF+MT5CmibJl7dKRV94sI1/OuDX5G3/yI27TzuMNPpt3MV/P81dTr8fMy07NmamQdParFwXT6/PT/jRzzxxh5J3BERbQffnLQVaGPZdeueXVCA8a13Czflqgt/PH5OVJhkYZxAfWLiHVi/43c3rbXx3GahdRkjeNwG5qElZ2EYRlQ76JffNHhCPcCt53KHPYcu4+NdfwDwrIe/5duTOHRKi7LrxvUKDY0GVNY0iFZVA8aWgiv/7xAAIOPpEXi/Gd3Lfj1egrNXruOPC9fwWFJ/0b4rZTVYsmGfxTEffHUch0+XIlThj+BAP5dEfM+hyxhzZw+37SXaFz7p4Qul2lZp4O5dOwAApo+9jX9M6CA7qkMPoGlxFNAhyDLmas2W+gY9Pt71B27UOS4fUN+gR4CV5uX2Sg989M0Jh8/rLJUt2ATmp6Mm79aTHut3By7xYg8Az/znJ6S/V4BDZv2H9wvKJmzfe6ZZi79qmj5bhoHowmFgWUP46QEAACAASURBVHz5X3GfgroGY7ixospo4+rPj+K1zQddqtZ65vJ1x4MIogmfFHyhiy+3EQqp1+mhCPRDgL+poJvwlj8y3PYqVQ4Dy4KB/UnOc1erMHPFbnxbeBEZnx3GnkOX8VXBeYfPff1Gg6h+ztkrxsJMm77xXqelv402paK++olnagK5SqUXV9py6yM2f3sSFzSmQldCp8BayYkP08c4/RolFcawkKaiVnTh+Dj3hMVirnlv/YgPvrK8M3Ql48faKmCCsIVPCr7wJ2urZkx9gx6BZk1LhBO4gf62K3tqr9Vi3++aphg+A7kTdwP/990pnGyqs5O77wLUz32JmSt249+fHMCZy5W4XmMSB4OBha7RgOAAU8SNm6CruuFccbF73bjNHzfcVDO/1IVJzrZGRVU9lm3az28L9XXv4WKrx6yYE2u1gJ2z/HjESmlSAD9bSf81GFjEDohw+7UIwhY+KfhCxZfbEnyd3kLUe6pMZUXtLWF6adN+vL/jN35xVL+bwtw29fTlSrz6yQE8u+a/AIwZJbNW/mC0Xeh5cnn43OSmAy8wOKj5Hbg83ef2upU0VYOBxdkrng9LuOIlWwudAcDCqUPw9ORBAABVZwVu6+n+5+wKLGv7ztQaT765hw8LEYQ9fFLwhT+V2gbrolWvs/TwVZ1NYRx7enGjKdWTW/UqYxiLejTukLf/Ip5ctZfflstMHw9XzKu+KYPGkZ6p43q7ZcPAW8L5/zebzQmcKa7EJ3l/uJUOeOrSNTz79n/5MsPXaxqwIvMgf3EzH1taWYvi0hpR9oornNc4rk3OZQZxee8dzEpR3NE7XNTJLDw00C1bHGKx0tm14nsNjQYc+MN+7R+CAHxW8E0/Fq2NGid1DXoE2QnbOJXiKEjLfO6hIXhu6hB+l6OWgtb49PtTom1hphA318CtK7A3uXnPwEj4+7nn4QszWPb9ZhLbgqKrePXjA/jh4GUUuiEu55rmINZlF+HUpWv4Yu8ZnLx4zerY1zYfxOJ3C/Dixn34wEZarSMYJ5aPcRdPLkXX34anzzF5ZB/MTr5D9Fj84G5u2Sfk/FXxxclgYJ3JwhVR8JsGLMvi7S+OUkllwiY+KfjC3/o9A63/IK15+EKcCQlwk7YAEBLsjwG9w9ErIhT3xfRwqhaPI66UmVZzKgKN3icXw+fsmzzyFoy+M0psezNeU3iscC3CZz+c5v93Jd8/d98FzFyxW+Spv7b5oNPVJgHgg6+NE5vl1+tEK3LLKmtRWV2PmSt2Y9/v4j7LzjRu5z5iruCcowVX/n4y3D1QvEite1fL7kLPPjjY4Ws7ssvVBjVnr1zH0TNlOHy6FFt3n3Z8ANEu8UnBF/5UhHXNhdQ3WMbwAeDeYcbJTmfSA7lJWyFLH7sL0+67zcYRriFcQ5Ay4mYAwB29OzfZZ3zcvKYLZ5fbCI7VlN/gF64Jz4cz3jMAVN1o4C8UF8wWIlmz2xY/H7uK/KIrWLguH7NW/oBGvQE7/nsWM5bn4fDp0qYxV2AwsPwFwdad3W09OvH/c4u8GptWXd8QrMqeOsa5C/Z9MT0Q3lEc6rFWGsEVDG72U7A2AUwQQpwS/JycHCQlJSEhIQGZmZk2xy1evBjbt2/nt4uLizF9+nSMGzcOc+fORU1NC3VTEi1Qtf7DuVp+w+ot/PSxt6FLxyCnRFPo4btDVNNaAFsIL0jBgX64uVsovzKY8/AZhrFo2NKc1armnuV/mzxza159o95g0UNXyLa9Z5x+HUds/MoU2tm6+zRfqfJ/c40LtgL95Zi98gesaKozs2ab9W5s08behmn33QrAdGG09t7MPXkhLzwyDAAQP7g7ZAyDFXPuxltP3cPvd6WInTWMVViB+fcPtAgh2UPYhrG5NfgJ38Sh4Gs0GmRkZGDLli3Izs7G1q1bcfr0aYsxTz75JHbt2iV6/KWXXsK0adOQm5uLgQMHYt26dZ613gbCRVPW9J5bVJRvwyOSyVwI6djxxN5fOBIx/W03fJ//wCC7z3+X2bEygbifLTZmtjCMeLIZQLNiOrbubMw18fj5Cjzxxh4s2bAPlTXWc+dv1HunRMP3Byzr9R84qQUL4LSVFpNzJw3EgJuNk9FBgX78Z8YJvd6K4Nu7IPWN6oQP08dgxnjjSlo/uQxhISYvP0oZYjdc6AguGWBYP5XdC489/vnBr2jUG/h5CoIAnBD8/Px8xMbGIiwsDAqFAomJicjNzRWNycnJwb333ovx48fzj+l0Ouzfvx+JiYkAgAceeMDiOG/x52XTj97az5arFTPGLPbNH8MwTq12ZA2s3VVX/n5yzJl4B1Y/PQI9lCZvfuI9vQGIi2Stmn8Plj12F+5p+oG/95zlxUJo1xufHgZgvAgk3NVTbJdj021yS7eOVh8XdtJqNBjw1tbD/LbOhqgE2RC9Pt07Ws30EYZbmoNGUMky9o4IDOunxNQxfTF55C3o2ilI0OimSfCt1E1yJeRkTkiwP5KGuz5pz9HQaHBq0ravg/OVtua/mCvI+uIwGFh8+v0pXBOspv7h4CWcvuyZfsyEdHEo+CUlJVAqTalpKpUKGo14gmzWrFl48MEHRY9VVFQgJCQEfn7GyUalUmlxnLc4K8x6sPLL4X7gt/awnlctYxinPHy9gXU4+SiXydCxQwCWzTT1JE0ZcTO+WJGM4EA/bFg8ChsXj0bn0EDcFBGKx5PvwIfpY0QrgE12Wd55+PnJLLzR5tRmjxsYiV4R4hRT8+5begMr8or9bGS3cBPNQrp0DAIL8OWBhVlBQYF+GDmku9u2czy//hf+/1FDoyBjGEQpQzDh7t6QMYygnaLxrzUPv7kVHpLdTIsFjOfmoFn5B2s81LQy2lYZkJo665Vij5+vQN7+i6JSHJ/kncS/PzmAGzaOIXwDh8XTDAaDKGzhbINua+NcnYjq0sUyA8IZ/OQyXlA6dAiAUikWsOqmbIzOnRUW+wDA318Gf38/q/uE6PQsOoYEORxnjkpl9KJdPS4g0A8sKz6uc6dgKJWhuL13OI6fKwcAMDKZy88t5KZuHUV57Pv+KBWFBhTB4hWn4eEd0KWTuCAZAHQxCzW9+NhfsLPgHKpqGhDRNQSABoNvU+LbpjTCoEB/LHzkLuw9/KXbtpsToQy1OBcdQ422du7cAcrOwQgKFk+yRoQr0CMqzOaiPUdwr7dtRTImp38FAHjj6b/i0B8l2JL3h1PPUX693upn6Cdn+Oypfn26AgBmTRyA97Ksz1kAQNeuIaLfXmhT9pdcLsO1ukZcPWMquvfdoct4fOJAp2zUG1hU32hApxAvrU8Q0Jzvc0vRFmx0KPiRkZEoLCzkt7VaLVQq23FpjvDwcFRVVUGv10Mulzt9nJCysmq3Sv4Kf6fV1fXQasV5zqVlxgmtmuo6i30AYNCzqKvTWd0npEGnR2Oj3uE4joynR8BgYKHVVkGpDHX6OA59owE6vQHnL5pK61Y1vYfJ8bfglSbBr6isdfm5hcTersJPggYwJ86Ka/pfq6xFWEgAXyumrKwGhgZLz7DWbGWtMjQAjTo9dDo9wpvCWffeGcULvivn0lmqq2qh1YrvlmpqjNlPpWVVQGMjrleJy0gsm3EXystcn/RUx/VGRZXl941hgC4d/DFmaHfE3aHCP94rsOl9CzF/nidTBmDgzeF4avVPAIDGOh02LB4FGcPgPTvPM3HhDsT0VyE4QI7Ucf1QWdlUBlqnx99X/ygam733DAbfHI5ekaGoa2hEda0OXc0u5odPl+LtL45i1JDu2HO4GG8/81eEBDcvM8ke7vxWWhqp2CiTMXYdZYeCHxcXhzVr1qC8vBzBwcHIy8vDyy+/7PCF/f39ERMTg507d0KtViM7Oxvx8fGuWe8mHYL9TT8oK9cLLqRj61bYGCt37kJja1m+Naw1tnAFLqTz6iemCzAXahGmnzojJva4vVdn0fbFEvEXWW9gMaRvV+xpqjtjK4TEncO5kwYipp9S1KicO0ZYQoC7UK9+egROXKjAe1+6X6aYw1q4SSawA7CM4TtagGWL++NvsXjs8YkDcFNTNpaMYaAI8rd5p9s5NJAvkWBtyF9ut6yvw63GfmXWcLy40bL0MgeXwVNZ0+CwDMNLHxnrDHXtFITSyjqL4nE7mqp+cp9/ftFVJNzVEyzL4vfzFbi9V+dmzYF4i5o6HZ5e/RNmJt2OEdHNXzDXFnH4zY6IiEBaWhpSU1MxadIkJCcnIzo6GrNnz8axY7ZvIwFg6dKl+Oyzz5CUlITCwkI8++yzHjPcHnNTTLek1qToxAWjh2zrll0uZ5xOrXNXHNyBYRg0NrKiBVnc7ypUYbqY2Cuh7CzDbjPN23CVOjkaze66bF0c2aY57bv6q3iRkzEMWEHiqLjHi3GjY4cAC3ETpj0KWfPsX+2+D2vlEEwxfOtZOq6mjNpj0si+ohpNADD01q5WxwqFWFg4z5z06Xci7W/ixV3dHaT4chw9U8b3X7Y2dyGEK6B39EwpVmQexNcF5wDAYsKdWyF++FQpVn16GN8XWmZRSYH8Y8asvK9/OY8SG+s0fB2nGqCo1Wqo1WrRYxs2bLAYt2LFCtF2VFQUPvnkk2aY5x5dw4L4/615n9v2GrtQ2Wp/2CsiFD8eKcZbnx3G3/82xOoYjgA3Sxi4g0zG2GyQHiq4pZ4zsfnNSx4d3x8HbEwc6vUGsVLb0A1rNWEYxnghMAjWEXCYC22viFD0jAjB+OE3ISwkEC88Mgz/FpRtXjh9mM1eBJNH3oKk2F5WvWnG3MM3tGyrwEcS+4l6AADA2rR4zM8whVeWpA6zebynirg5W3Bt9edHAQAnL17DkFuVuKS1vvaioinr50oz+v16k/9rujBpym8g/b0C/vHX5sQiwjy1WYDeYMCBP7Qix6Wt4pMdr4ShGnuRmW5drHtFEZ2NMcuiP8sdvpa/jZW83oCBZa9dznuUyRi8v3AU/OSMR76Utu5+GKZJrAUn1pZc2moBybIsf7hwv/lLLn3sLtF236hOWDR1CJ+S+tchUSgrq0ZggBz1ZkXyJtzd24ZVwpCO7bRMb+Inl+HNeXG4UdeI+kY9jp+rQLBZRpPwu7nssbs8etfB4U4j9tczrTdQr67VYXPeSQDGLlwDbw6HjGGQu+887o3pabGmxB1q6nS4WnYDfaI8k77LsSLzIDKeGmFzf+6+C9i2908wDGP3fbzycSEqquqxar71u1Ep4JOlFfyFgm9nXLcu1q/q1lIibeFuJoc7WPPwbxKkUPr7ybzugcgYBgaD2UIsOzF8c3uMIR3xSmEOZ2y/vXc4/nK78UfHiWBSbC8X3oEwpGP82+BEw3pPE94xCD1UIejTvZNFCmefKPFaiJsiQtFD6ThjjbtoTB5pOZfgKWyFCxf85yfR9jvbj+HtbUdx8lIl3s0ucvv1Lmiq+O/KW1uP4NVPDrjVFc3eMVzTnW17z+D4+QqL/dydkLBnxeHTpXjm7Z9Eod8/i69Lvky1T3r4Qm/IXk66LYFxJS7fkoLPMIzoC9Wc1ZyOCPSXQ9U5mO/gxCGTGSe0hefV1inmSgSIYLhJ26ZNkYfv3Lmcrb4Dj44z9YtVx/XG7Td1RmVNA85dvY4aB3MY5r0FdI16foKyNeFsmDH+dreOf/3Ju9GoN6D6ho4PW7ZlDp3UYs32Y0h7+E4M6hXG903QNRoQ6C9HaWUt1m4vwrN/G4z/Hi3G4L5dbV4Yr5TaL+tSUVWPrwvO4+uC8xaT1Nyd/gVNFbZ8dxLfCeYoyq7X2YwUSBGfFPzmYqvgmjWENeu9jflinI7NLNJlD5mMwQcvJkD9nDgn3ujhsyKRtz1pa30tBiu4YMhEMXznbJPLZAgOFA/mVp0O66e0doiFDUK7dY2GFp18twVnT6CbYUIuNTIsJBAfpo/Bpp3HLeYKWguDgXUpLMWyLNZsNyaFnC2uxKBepnkLrvDht/sv4bymCmlNzYO27/0THwjEWm8w4LPdZ/DDocsOezg8t/Znq48fP1/BT/BaO5dcldZZ90c7/d5ak9b/lnsZd1ZMujIR61Szcy8hzMxpKWQyozA5U6CNZWFReoKBbQ/ffndgz8HpDisI6bTk5LstuDUnnnIinP3q9zNLw318gnt3GPYoOluOmSt2W+2BoL1WC02FeD7huqCV5878c1glKOXx708O4MAfWhw5XSo6hgWwcstBbNp5HEfPlOI/nx/Ft4UXXW7YM3PFblwqqUZ+0RW88X+H7I7d8fM57Pj5nNVQV6Pe2Jhm5ord+OYXx32sW4J2IPimr32j3oCzV66jo8Ifo4Zar6MDWHr49Tq9zdicK3cDnqZjCwi+eZTFuodv/VgDa1l6gmEg8vCFJRtaKgHC3MM3eoyt/1OYmXQ7ekWGomMHz9y5de0U5HgQjCuLhdwzyPM56qs/PwIAOPanaRHfBU0VDCyLf7xXgOff/wXlgnLgPx0x9RZu0Onx21lTAkXJtVqszTpmNbXyxIVr+OnoFaz+/CiKzjpOurDFvz78VVSh1RE6s3mgkoob+Ps7P2NtlnH+4vM9Z3C5tAZfF5zDzBW70aDT42r5DVHhwRt1On61vLfw2ZDO4kdisPKTQnyz7wLkchkS/9IT2T+dNVVatOP6C7293Qcv4fDpUhT9WY5nHxyM6D5dRGPt5Ut7m/7N6KXrLKOHRmH3QeOq29nqO/Dp96dgYGEWw7eZl2lRO5+btDVY8fBbKuWN6yTG5aHX1jcivKNz4uhNBt7SBQNv6eJ4oJNMuLsXeqpC0CHIHytsZNcAQFCAHz5MH4OZK3Z77LVtwYXwTl+qxL83HxD1Dli4Lh+AsYuYrabvUkWY4v3rcY3VRYP/3LiPD7vV1jfihaaaTxsXj4beYED6+7+gulaHfz4ag5ttFDFsLq3v1niJvw4xefBf5Z/D06t/wp/FpmbZew8XWzsMgNhr35x3kp+04bwUIeYZFd7k+f+5U7Q91qxKpjeYNtbUzEUuY0wevnCQnUlbCw3nPHxwWTqiXS0CF6/nvLIb9Y0IDpQjKEDuVmtKqSKXyTD0VqUob3/JI5b5/X1bqDk7APx+vhz1Oj0+yjUWbqu6YRkKaWtiDxhLUnDkNPVqsAYX+im7booYvLP9GOa8uZff9/L/FjarAKI9fFbwrSGsy2PvdFrrhGWLllyIYT6x2BKvLZxU1TUaUFnTgB+PFDs1aWuwtvAKjPFY3sNvecXnyi1s+e4kPsn7A7X1jQj0l2Pd30d6pDWllLmle0dMH3sbFj08FBGdg/HCI8MwzsW0ViFvzosTbTu6YJ65fB3LP9qPYgdZM22N3IJz/P+XnXhvr3xsKo9y2GwuAoAohOVJ2pXgNwpWVApLB5hjL82q6ob1Zh8tQa2gRo4nFrK4ijDn2NGyfMB6Wqb5SlvhflkLKT63TuOytgY/HLyMmrpGt5u+txXmThqIx8b3B8MwuHdYD9zeqzNem3M3+kZ14i+6UcoOuLUp2ynGiWwnwLie4G+jTRdJZZhl1VRzhKVBWovOVkpu3DPIvWYz3kBYrdaT+GwM3xqXBUvCrRW6EnJzt4583q+QT79vvQbRvQVxvbmTnCth60mEGi+6W7IZ0rFeWgFgBTH8lp+0tZaC2ZqT7y2BMw7Cy48P5/+fd/8gXCqpxu/nyvGpWVP0eZMGYl12Efp0N34fxw2/CX17dEKHID+bvYSlhnD9DFe0rl/Pzvj5mDT6Amf9eNbuanF38e1vuR0c+ae26qsU/NZ6Xwjz5fctBZfjLvTq9YJUN/t5+OLHuK5dukY9GJgtXGshwbeWgimFPHyp0UMVgoS/3ITEvxjnipLjemPNs39FTH8VHp9wO56abMo97xvVCd26dEB0n65Y/vhf+DuFCXe7Hy5yhnfsFM/jvrdD+nbF/PsHokOQ8ffz8L23QtH0/zNTovHGvDhkPD0CnUKsZ729+9xIfqK/pXBnNbEz+LSHv+7v8dh/ogSbdp6w2Bdm48PlceJ83xfTw03L3OflWcMdriT1NLd064jTlypFXr15xUxrGFjLeQYGxlWNX+WfR6C/XOzht1RIx4q4k+DbZuI9N0NvYKGO68WHvuylbvZQhmDxtKEwGFgU/Na8Lnf/mhGDqnoDPtxRhB6qEDQ2GvBHUy5/amI/KGwUzwOAv/RX8T2Oh/VToaKqHlu+O4V7BnVD/16dceiUFtF9uoBhGHTqEGDx7QsOlGNt2kgARiehUd9y3cAiw20Xc2sOPv0tDwrwQ5BZ2mRE52B8mD7GZpVFjicmDsDgPvZT5Ab0Dm+2ja4S1bWDx6olOsugpvMg7KHaHA+fwzz3vTVDOueutH7zCqkSHOiHaffd5tI8h1wmg7+f3O5nunLu3Q7r/vSO7IgxMT3x1lP34LmHhuDpyYP4fdxamr8/ZCoVPTv5DgDAc1OH8Km2nA33xfTEh+ljoAjyQ09VCCbec7PdxIfHBCUu/jH9zmb3s3CFxdOGeuV5fVrwASAkSCz4tzsp0t27dsAzD5q+SNYKrXm6ap9UGdA7HO8vHIW+UZ0wNsZ4e693IoZvMLAWtYaE5SG41ZTT7rsVQMvF0a0JfkvWRGpP2KuP1Dk00G6cWhgO4oRZEeSPZx+MxtvPmEI5A2/ugvn3D8ILjwzD3QMjse7v8RjQO5z/nBVBrgUyBtwcjg/TxyBGMO/RUxWCBxzM+9lCOKntDB0V/gjzUttInxf8W3uGYbRgVe35q5YTsc5grSKjN9u6SQ3ux6NqKh19qulWGQDQtBDrt7Pl2Jz3B2au2I2qGw1o1LMWpSesLUEfOSQKE+7u5ZVJKmtYE3cK6XgHTu+tLRI0LyHhJ5fhlVmmieM+3a07VNF9ulr89ob1U6JvkwPG3dUPuDkcfxvdF9Puu83iOazBrTi+01YGn+BrI5cxeHB0H5vPtfEfozG9aQ1L/GDXVi6/Nudul8a7glOXvpycHLz77rtobGzEo48+iunTp4v2Hz9+HEuWLEFNTQ1iYmLw0ksvwc/PD1lZWVi1ahW6dDGGBEaNGoW0tDTPvws7+MlleCSxH344dNnxYDsMvyMCkV0UePVjYwOOkUO6e8K8Noc1sdxz+DI2fXNclG538uI1HD9fYfeiyHlw/n4yTB5p+8fjaRiGQYCfTFQW2ZuVR9sznGgn3HUTbooIxcgh3bFkg/VWjC/NvAvdunQwLu5jWfSKbF5TcBnDYNxw5xfSKcOC8e7fR9q80xTOMS2cOgS39QzDd4WXMHJId8jkcvTr0RG//l6C/Sc0kDWlv947zDjPt+bZv+KF9b9g6K1dETewm2jl8/z7B0ERKOf7PHgzOcPhM2s0GmRkZGD79u0ICAjA1KlTMXz4cPTta7pNWbRoEV555RUMGTIEL7zwAj777DNMmzYNRUVFSE9PR3JystfegLNMvKc3dvx8zq1iaoDxwtGneydkPHUPvio4j4fG+PYCHVtYq3iYX2SZucTVEDH36Afd0oWvp9KSIm/OewtHoVFvwD8/+BWa8htIGXFzq9niy0SEK/hyw0NstHYceHM4is6W8+tfNv5jdIvZZ469Cz93t3L3gEj0u8lYcI5rdsI1Mb+1RximJ1jeUXQI8sd/FhjDUMJibm89dQ8fvokf3A0hwd6dJ3B4H5ufn4/Y2FiEhYVBoVAgMTERubm5/P7Lly+jrq4OQ4YYWwE+8MAD/P5jx44hKysLarUaCxcuRGVlpdXXaAmG3mq8TTMvcuQIcw+1U0ggpo+9rVWrZLYmzZ1Y5dovCiffWgs/uQyvPRHr1CQ+4T0WTIm2m14pFbjMmeaWU+Hukv3kjChWP2P87ZgyyrtOkEPVKikpgVJpimmpVCpoNBqb+5VKJb9fqVRi3rx52LFjB7p164bly5d70naX4K7crgr+qvn34L3nRnrDpDZJhaAGyNIZd2FA7852RluiCDIW6uIuwET7wzye7yeX2U2vlAp9ojrhtTmxojlBd2AYBlPH9MW/ZtzleLCHcRjSMRgMotQl89WT9vavXbuWf3zWrFkYO3asS8Z16eK4rZs9lEpTDJDxN77VRgMrerw1kYod9jC38bignnnMoO74qegqfjtn2RZu1J09sOfgJavP4U37pAjZKOb1p+PBsizkLtwlS+Uc2rPDFRunTxjgCXNcxqHgR0ZGorDQVOhHq9VCpVKJ9mu1plS70tJSqFQqVFVVYdu2bZgxYwYANH3Ark2MlZVVixb7uAIXU+PgmlxH9+kiery1MLdPilizcdI9vfF6U99PrbYK4+/qCVWnIHz6/SkwDLDssb/wjdXv6qeEv5/Ma++zrZ5DqSF1G6VuHyAdG2Uyxq6j7FDw4+LisGbNGpSXlyM4OBh5eXl4+eWX+f1RUVEIDAzEgQMHMGzYMHz55ZeIj4+HQqHAxo0bMXToUAwePBibN2922cP3JIEBcmQ8PQIhwT69uNjrcGLOzWF06RSEhLt64s7buqKjIkDUAP72Xq6FewiC8C4O1S8iIgJpaWlITU2FTqfDlClTEB0djdmzZ2PBggUYNGgQ3nzzTbz44ouorq7GgAEDkJqaCrlcjtWrV2PZsmWoq6tD7969sXLlypZ4TzZpyZVyvgo3F2KeW9y1k+MqiQRBtC4M661K+x7AkyEdqSF1+wDbNtY1NCLAT+5SU2pv0JbPoZSQuo1Stw+Qjo3NDukQhDnm9YkIgmgbtM9kcoIgiHYICT5BEEQ7gQSfIAiinUCCTxAE0U4gwScIgmgnkOATBEG0EySdX9fcPO/WzhN3hNTtA6Rvo9TtA8hGTyB1+wBp2OjIBkkvvCIIgiA8B4V0CIIg2gkk+ARBEO0EEnyCIIh2Agk+QRBEO4EEnyAIop1Agk8QBNFOIMEnCIJoJ5DgEwRBtBNI8AmCINoJPif4OTk5SEpKQkJCAjIzM1vNjnfeeQcTJkzAhAkT+F6+zz//PBISEpCSkoKUlBR8++23AID8/Hyo1WokJCQgIyOjxWx85JFHMGHCBN6eI0eO2Dx/rWHjNb1mNgAABrxJREFU559/ztuWkpKCYcOGYfny5ZI4j9XV1UhOTsalS5fsvvbx48fxwAMPIDExEUuWLEFjYyMAoLi4GNOnT8e4ceMwd+5c1NTUeN3GrVu3Ijk5GWq1Gs8//zwaGhoAGL+ro0eP5s8n97nbst1b9rn6uXrbPnMb9+7dK/o+xsbGYs6cOQBa7xy6DOtDXL16lR09ejRbUVHB1tTUsGq1mj116lSL2/Hzzz+zDz30EFtfX882NDSwqampbF5eHpucnMxqNBrR2NraWnbkyJHshQsXWJ1Ox86cOZPds2eP1200GAzsiBEjWJ1Oxz9m6/y1lo1CTp48yY4dO5YtKytr9fN4+PBhNjk5mR0wYAB78eJFu689YcIE9tChQyzLsuzzzz/PZmZmsizLsk888QT71VdfsSzLsu+88w67cuVKr9r4559/smPHjmWrqqpYg8HALl68mN20aRPLsiw7Z84c9uDBgxbPYct2b9jHsqzLn6s37bNlI0dJSQl77733smfPnmVZtnXOoTv4lIefn5+P2NhYhIWFQaFQIDExEbm5uS1uh1KpRHp6OgICAuDv748+ffqguLgYxcXFeOGFF6BWq/H222/DYDDg6NGj6NWrF3r27Ak/Pz+o1eoWsfnPP/8EAMycORMTJ07E5s2bbZ6/1rJRyLJly5CWlobg4OBWP4+fffYZli5dCpVKBQA2X/vy5cuoq6vDkCFDAAAPPPAAcnNzodPpsH//fiQmJooe96aNAQEBWLp0KUJCQsAwDG677TYUFxcDAIqKivD+++9DrVZj+fLlqK+vt2m7t+yrra116XP1tn3WbBSycuVKTJ06Fb179wbQOufQHSRdLdNVSkpKoFQq+W2VSoWjR4+2uB233nor//+5c+fwzTffIDMzE7/++iuWLl2K0NBQzJkzB1988QUUCoWFzRqNxus2Xr9+HXfffTf++c9/QqfTITU1FePHj7d6/qyd15awkSM/Px91dXUYP348Ll68iNjY2FY9j6+++qpo29b5MX9cqVRCo9GgoqICISEh8PPzEz3uTRujoqIQFRUFACgvL0dmZiZee+011NTU4Pbbb8eiRYvQq1cvpKenY926dRg1apRV271lX2lpqUufq61z60nMbeQ4d+4cfv31V35/a51Dd/ApD99gMIBhTOVBWZYVbbc0p06dwsyZM7F48WLccsstWLt2LVQqFYKDg/HII49g7969rWbz0KFDsXLlSoSGhiI8PBxTpkzB22+/bdWW1j6vn376KR577DEAQM+ePSV1HgHb3ztbj1uzraVs1Wg0ePTRRzF58mQMHz4cHTp0wIYNG9CnTx/4+flh5syZrXI+Xf1cW/Pz3rp1K6ZNm4aAgAAAkMw5dAafEvzIyEhotVp+W6vVWr0dawkOHDiAGTNm4LnnnsP999+PP/74A7t27eL3sywLPz+/VrO5sLAQBQUFInuioqKs2tKa57WhoQH79+/HmDFjAEBy5xGw/b0zf7y0tBQqlQrh4eGoqqqCXq9vUVvPnDmDqVOn4v7778f8+fMBGCePv/jiC36MrfPJ2e4tXP1cW9o+Id9//z2SkpL4bamcQ2fwKcGPi4tDQUEBysvLUVtbi7y8PMTHx7e4HVeuXMH8+fPx5ptvYsKECQCMX4J///vfqKyshE6nw9atWzF27FgMHjwYZ8+exfnz56HX6/HVV1+1iM1VVVVYuXIl6uvrUV1djaysLLzxxhtWz19r2QgYhaB3795QKBQApHceAdh87aioKAQGBuLAgQMAgC+//BLx8fHw9/dHTEwMdu7cCQDIzs72uq3V1dV4/PHH8cwzz2DmzJn840FBQXjjjTdw8eJFsCyLzMxMjB071qbt3sLVz7Wl7eMoLy9HXV0devbsyT8mlXPoDD4Vw4+IiEBaWhpSU1Oh0+kwZcoUREdHt7gdH3zwAerr67FixQr+salTp+KJJ57Aww8/jMbGRiQkJCA5ORkAsGLFCjz99NOor6/HyJEjMW7cOK/bOHr0aBw5cgSTJk2CwWDAtGnTMGzYMJvnrzVsBICLFy8iMjKS3+7fv7+kziMABAYG2nztN998Ey+++CKqq6sxYMAApKamAgCWLl2K9PR0vPvuu+jWrRveeustr9r4xRdfoLS0FJs2bcKmTZsAAGPGjMEzzzyD5cuXY+7cudDpdLjzzjv58Jkt272BO59rS9rHcenSJdH3EQDCw8MlcQ6dgTpeEQRBtBN8KqRDEARB2IYEnyAIop1Agk8QBNFOIMEnCIJoJ5DgEwRBtBNI8AmCINoJJPgEQRDtBBJ8giCIdsL/A/j0YuxNs0ecAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=list(range(len(err1))), y=err1)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"preds = torch.cat(preds)\n",
"for sensor in range(len(concentrations)):\n",
" sns.kdeplot(preds[:, sensor].numpy())"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.8.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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