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@MaverickMeerkat
Created October 31, 2023 16:25
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Different ways to preform quantile-regression in Python (using linear programming, IRLS and gradient descent)
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "803aff9d-6c86-4fb3-90db-4dd85dfe04c2",
"metadata": {},
"outputs": [],
"source": [
"import statsmodels.api as sm # for IRLS\n",
"from sklearn.linear_model import QuantileRegressor # for Linear-Programming \n",
"import cvxpy as cp # for Linear-Programming\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt # for plotting\n",
"\n",
"import torch # for \"NN\" (gradient descent)\n",
"import torch.nn as nn # for NN stuff\n",
"import torch.distributions as D # for distributions"
]
},
{
"cell_type": "markdown",
"id": "27ea327c-0e4e-4bd4-b5d2-1186c78a4bb8",
"metadata": {},
"source": [
"# Data - 1D example"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "27ddf23f-a854-495d-b67c-60696a54d65e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x2329cbf17c0>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(42)\n",
"n = 1000\n",
"x = np.random.rand(n) * 10\n",
"x_ = np.concatenate((np.ones((n, 1)), x[:,None]), axis=1)\n",
"\n",
"# Generate y values using a gamma distribution\n",
"y = np.random.gamma(shape=2*x, scale=1)\n",
"\n",
"# Plot the data\n",
"plt.scatter(x, y, alpha=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "ba0acd88-69ca-4f8e-8a0c-935889129cfa",
"metadata": {},
"outputs": [],
"source": [
"quantile = tau = 0.25"
]
},
{
"cell_type": "markdown",
"id": "3dc9b471-ff67-46e1-86ce-3893b0bf7509",
"metadata": {},
"source": [
"## Linear Programming "
]
},
{
"cell_type": "markdown",
"id": "4f990fe9-c0e2-4a51-bdf2-2375026cb1e8",
"metadata": {},
"source": [
"### `sklearn`(HiGHS)"
]
},
{
"cell_type": "markdown",
"id": "c623b0aa-27c7-4235-ac15-649f99459fdd",
"metadata": {},
"source": [
"`sklearn` uses the [HiGHS](https://en.wikipedia.org/wiki/HiGHS_optimization_solver) solver - which chooses automatically between a dual-simplex (`highs-ds`) and an interior-point-method (`highs-ipm`). "
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "bc7979e4-caf3-48a9-9788-e60fe34e8914",
"metadata": {},
"outputs": [],
"source": [
"solver = \"highs\" \n",
"qr = QuantileRegressor(quantile=quantile, alpha=0, solver=solver) # alpha=0 means no regularization"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "86700ed1-341e-4046-8fdb-b3c6e74fb1d5",
"metadata": {},
"outputs": [],
"source": [
"fit_skl_1D = qr.fit(x[:,None], y)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "e919a878-8fb6-4405-8df6-2f2c4e0ac16b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1.76263035])"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit_skl_1D.coef_"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "29cc82d8-45f9-4101-a1f4-60c129e4e660",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.6908857808534332"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit_skl_1D.intercept_"
]
},
{
"cell_type": "markdown",
"id": "3909519f-dc74-43da-9ed9-b93ced56f117",
"metadata": {},
"source": [
"### `cvxpy` (ECOS)"
]
},
{
"cell_type": "markdown",
"id": "38a17d15-2c6e-4883-afb0-10768106380d",
"metadata": {
"scrolled": true
},
"source": [
"Another way is to use `cvxpy` - which uses the [ECOS](https://web.stanford.edu/~boyd/papers/ecos.html) solver. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "f0316f1e-d205-48ed-b2fc-7cffcce08ddc",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"836.7625473946587"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Define variables\n",
"beta1 = cp.Variable(x_.shape[1])\n",
"errors = y.squeeze() - x_ @ beta1\n",
"\n",
"# Define the quantile loss\n",
"quantile_loss = cp.sum(cp.pos(errors) * quantile + cp.pos(-errors) * (1 - quantile))\n",
"\n",
"# Define the optimization problem\n",
"problem = cp.Problem(cp.Minimize(quantile_loss))\n",
"\n",
"# Solve the problem\n",
"problem.solve(solver=cp.ECOS)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "a10adaad-4f43-402b-bd74-de844bfb21e0",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Beta: [-0.69088578 1.76263035]\n"
]
}
],
"source": [
"print(\"Beta:\", beta1.value)"
]
},
{
"cell_type": "markdown",
"id": "cc1b5a41-d4ff-4a3d-8c25-cd234e40a953",
"metadata": {},
"source": [
"## Iterated Reweighted Least Squares (IRLS)"
]
},
{
"cell_type": "markdown",
"id": "0046f8d9-fe1e-4510-81eb-76e4d2e4c969",
"metadata": {},
"source": [
"`statsmodels` uses IRLS."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "d5e45e3f-c319-4816-bd60-84a976ecd3d9",
"metadata": {},
"outputs": [],
"source": [
"# Fit quantile regression model (e.g., for the tau'th quantile)\n",
"quant_reg = sm.QuantReg(y, x_)\n",
"fit_sm_1D = quant_reg.fit(q=quantile)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "abc5705f-e728-492f-9142-83a1914b374c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.69088492, 1.76263027])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit_sm_1D.params"
]
},
{
"cell_type": "markdown",
"id": "3b593071-139f-4a83-8e6f-603110857e36",
"metadata": {},
"source": [
"## Gradient Descent"
]
},
{
"cell_type": "markdown",
"id": "c5575f7c-3281-4805-8e1f-859ea91bb3d6",
"metadata": {},
"source": [
"`PyTorch` allows us to build a graph representation (\"Neural Network\") which we can then optimize with a variant of Gradient Descent. "
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "e0a2dd0f-bbc8-4cca-acb4-6adba56b03e2",
"metadata": {},
"outputs": [],
"source": [
"def quant_loss(y_hat, y):\n",
" e = y - y_hat\n",
" loss = (tau-1)*e*(e<0) + tau*e*(e>=0)\n",
" return loss.sum()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "27337a46-26f8-48a6-9465-b19491b5a0b3",
"metadata": {},
"outputs": [],
"source": [
"x_t = torch.tensor(x, dtype=torch.float32)[:,None]\n",
"y_t = torch.tensor(y, dtype=torch.float32)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "9e5dc84c-eeb4-4ad1-86ec-6975f430b4f8",
"metadata": {},
"outputs": [],
"source": [
"class Net1(nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
" self.linear = nn.Linear(1, 1)\n",
"\n",
" def forward(self, x):\n",
" y_hat = self.linear(x)\n",
" return y_hat"
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "bed5df70-48fe-4e61-95e3-064d034ac882",
"metadata": {},
"outputs": [],
"source": [
"torch.manual_seed(42)\n",
"net1 = Net1()"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "c706d454-01ef-43e8-96fd-0154eb8863bc",
"metadata": {},
"outputs": [],
"source": [
"# optimizer (GD)\n",
"learning_rate = 0.01\n",
"optimizer = torch.optim.Adam(net1.parameters(), lr=learning_rate)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "fa428073-d049-4167-8956-65f777d4bcae",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([1000])"
]
},
"execution_count": 66,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_t.shape"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "b37e7cfa-28ac-4016-9e8e-114e8ec27085",
"metadata": {},
"outputs": [],
"source": [
"# \"Training\" (optimizing)\n",
"losses = []\n",
"for i in range(500):\n",
" net1.zero_grad() # zero out the gradients\n",
" output = net1(x_t) # forward propogation\n",
" current_loss = quant_loss(output, y_t[:,None]) # computing the quant loss \n",
" losses.append(current_loss.detach().numpy())\n",
" current_loss.backward() # backpropogation\n",
" optimizer.step() # optimizing (GD)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "ce85d353-b409-4aae-a1ab-18a29e4fb214",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x232a3173100>]"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(losses)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "ccbef936-33c7-42ce-ba50-af74ddd6ae35",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[Parameter containing:\n",
" tensor([[1.7589]], requires_grad=True),\n",
" Parameter containing:\n",
" tensor([-0.6666], requires_grad=True)]"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(net1.parameters())"
]
},
{
"cell_type": "markdown",
"id": "152394ba-b1b8-4249-ba68-eee1fa85744c",
"metadata": {},
"source": [
"# Data - 4D example"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "1f9b77e6-032c-4e06-911d-264939328896",
"metadata": {},
"outputs": [],
"source": [
"# Generate some sample data\n",
"np.random.seed(42)\n",
"N = 4000\n",
"X = np.random.rand(N, 4)*10\n",
"X_ = np.concatenate((np.ones((N, 1)), X), axis=1)\n",
"beta4 = np.array([[0.7, 2, -1, 0.5, 1]]).T\n",
"Y = X_ @ beta4 + np.random.randn(N,1) * np.abs(X_[:,1][:, np.newaxis])"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "974318b8-31f0-442a-8006-f4c90df49155",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x232a1717b20>"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X_[:,1], Y, alpha=0.5)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "27ec83ac-3234-4ace-bb6e-0a332ae1ad40",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "a12c6ebf-2a00-4bd5-8152-b72fe0b0a857",
"metadata": {},
"source": [
"## Linear Programming "
]
},
{
"cell_type": "markdown",
"id": "b314a5e8-30da-4dbc-bcb6-22b255589fbb",
"metadata": {},
"source": [
"### `sklearn` (HiGHS)"
]
},
{
"cell_type": "markdown",
"id": "c45bba55-a86f-4ccd-bf61-2b172df5b19e",
"metadata": {},
"source": [
"`sklearn` uses the [HiGHS](https://en.wikipedia.org/wiki/HiGHS_optimization_solver) solver - which chooses automatically between a dual-simplex (`highs-ds`) and an interior-point-method (`highs-ipm`). "
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "efd71147-6f36-4e46-9a2b-1fa16c57069f",
"metadata": {},
"outputs": [],
"source": [
"solver = \"highs\" \n",
"qr = QuantileRegressor(quantile=quantile, alpha=0, solver=solver) # alpha=0 means no regularization"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "335b3a0d-cd0e-4c23-9c32-1f9be25f1997",
"metadata": {},
"outputs": [],
"source": [
"fit_skl_4D = qr.fit(X, Y.squeeze())"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "ffb1e417-48bc-4f7c-b004-acddcf49d52d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.30334605, -1.00669675, 0.47740648, 0.98255556])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit_skl_4D.coef_"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "b654a393-2647-48ea-b1ff-b8866186658f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9829571052570741"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit_skl_4D.intercept_"
]
},
{
"cell_type": "markdown",
"id": "4a9eff22-85ca-4227-b533-0b27040215ff",
"metadata": {},
"source": [
"### `cvxpy` (ECOS)"
]
},
{
"cell_type": "markdown",
"id": "2802ec33-b11d-4b39-9ea1-d52267f5c484",
"metadata": {
"scrolled": true
},
"source": [
"Another way is to use `cvxpy` - which uses the [ECOS](https://web.stanford.edu/~boyd/papers/ecos.html) solver. "
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "1c3adf90-8ad7-4e9d-a1d7-f370ac23eb5c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6487.02711861981"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Define variables\n",
"beta1 = cp.Variable(X_.shape[1])\n",
"errors = Y.squeeze() - X_ @ beta1\n",
"\n",
"# Define the quantile loss\n",
"quantile_loss = cp.sum(cp.pos(errors) * quantile + cp.pos(-errors) * (1 - quantile))\n",
"\n",
"# Define the optimization problem\n",
"problem = cp.Problem(cp.Minimize(quantile_loss))\n",
"\n",
"# Solve the problem\n",
"problem.solve(solver=cp.ECOS)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "d31e27de-09cf-4e98-b204-767e082de569",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.98295718, 1.30334605, -1.00669675, 0.47740647, 0.98255556])"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"beta1.value"
]
},
{
"cell_type": "markdown",
"id": "250521ed-bff2-4549-afa6-c5bcac33a62e",
"metadata": {},
"source": [
"## Iterated Reweighted Least Squares (IRLS)"
]
},
{
"cell_type": "markdown",
"id": "2914f18a-b02f-4a00-ab09-13ca82fb214f",
"metadata": {},
"source": [
"`statsmodels` uses IRLS."
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "6e67c329-0b7f-4ca2-88e8-2f141419bbd3",
"metadata": {},
"outputs": [],
"source": [
"# Fit quantile regression model (e.g., for the tau'th quantile)\n",
"quant_reg = sm.QuantReg(Y, X_)\n",
"fit_sm_4D = quant_reg.fit(q=quantile)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "b708ba11-e105-4da5-a9fa-d69d31e5528f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.98296545, 1.30335098, -1.00669704, 0.47740471, 0.98255568])"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit_sm_4D.params"
]
},
{
"cell_type": "markdown",
"id": "c7b7f619-61f5-4274-9a18-9aef36bf0fae",
"metadata": {},
"source": [
"## Gradient Descent"
]
},
{
"cell_type": "markdown",
"id": "3212e006-2e86-4918-9a79-8e546bb69cee",
"metadata": {},
"source": [
"`PyTorch` allows us to build a graph representation (\"Neural Network\") which we can then optimize with a variant of Gradient Descent. "
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "e2f2968f-c852-4912-84e1-e923763bd7c1",
"metadata": {},
"outputs": [],
"source": [
"def quant_loss(y_hat, y):\n",
" e = y - y_hat\n",
" loss = (tau-1)*e*(e<0) + tau*e*(e>=0)\n",
" return loss.sum()"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "50496e15-c8b2-454c-a1c5-e6a0d50f3ec2",
"metadata": {},
"outputs": [],
"source": [
"X_t = torch.tensor(X, dtype=torch.float32)\n",
"Y_t = torch.tensor(Y, dtype=torch.float32)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "ae02ee7a-cdfd-42cb-813b-4a123f175532",
"metadata": {},
"outputs": [],
"source": [
"class Net4(nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
" self.linear = nn.Linear(4, 1)\n",
"\n",
" def forward(self, x):\n",
" y_hat = self.linear(x)\n",
" return y_hat"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "9d0fe3cf-48b0-465d-b315-cbdf8fb11763",
"metadata": {},
"outputs": [],
"source": [
"torch.manual_seed(42)\n",
"net4 = Net4()"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "7c003d41-63f5-454c-ab2f-7494ac2dcf57",
"metadata": {},
"outputs": [],
"source": [
"# optimizer (GD)\n",
"learning_rate = 0.01\n",
"optimizer = torch.optim.Adam(net4.parameters(), lr=learning_rate)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "a043dabe-c1f2-4d5c-b81e-f5b68146f59d",
"metadata": {},
"outputs": [],
"source": [
"# \"Training\" (optimizing)\n",
"losses = []\n",
"for i in range(2000):\n",
" net4.zero_grad() # zero out the gradients\n",
" output = net4(X_t) # forward propogation\n",
" current_loss = quant_loss(output, Y_t) # computing the quant loss\n",
" losses.append(current_loss.detach().numpy())\n",
" current_loss.backward() # backpropogation\n",
" optimizer.step() # optimizing (GD)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "e13f4a37-9db9-4f95-8fe1-e1e57615c868",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x232a34fd130>]"
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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jRkVFqW3btiovL7fKpKSk+JTxvveW+a6pU6cqISHBeqWnp/u17afi7ck5SE8OAABBFZA5Oa+//rqMMerYsaMcDodmzpypwYMHKyKi6XSDBg3Srbfeqp49e2rgwIGaP3++1qxZo+XLlweiOpZJkybJ5XJZr927dwf0fJLUmp4cAABCIiAhp0uXLvr4449VU1Oj3bt3a/Xq1aqvr1fnzp1PWb5z585q3769tm7dKklyOp2qrKz0KdPQ0KCqqiprHo/T6VRFRYVPGe/70831cTgcio+P93kFWitvyKmtD/i5AADAcQFdJ6dVq1ZKTU3VgQMHtGjRIg0YMOCU5b799lvt379fqampkqScnBxVV1ertLTUKrN06VJ5PB5lZ2dbZVasWKH6+uPhoaioSFlZWUpKSgpgq85NmxhvyKEnBwCAYApIyFm0aJEWLlyo7du3q6ioSDfddJO6deumESNGqKamRhMmTNBnn32mHTt2aMmSJRowYIC6du2qvLw8SVL37t2Vn5+vUaNGafXq1Vq5cqXGjh2rQYMGKS0tTZI0ZMgQ2e12FRYWatOmTXrrrbf03HPPafz48YFo0nnzDlcdZLgKAICgCkjIcblcGjNmjLp166ahQ4fq+uuv16JFixQdHa3IyEitX79et956qy677DIVFhaqV69e+uSTT+RwOKxjzJkzR926dVOfPn1088036/rrr/dZAychIUEfffSRtm/frl69eumBBx7Q5MmTw+r2cemEOTn05AAAEFQ2Y4wJdSVCxe12KyEhQS6XK2Dzc1Zt+5eG/L8S/SC5tYrG3xiQcwAAcDE52+9vnl0VYG0c0ZLoyQEAINgIOQHmXSeHW8gBAAguQk6AWXNy6hrk8Vy0I4MAAAQdISfAvLeQGyMdruchnQAABAshJ8AcURGKirBJYsgKAIBgIuQEmM1mOz4vh1WPAQAIGkJOELAgIAAAwUfICQIWBAQAIPgIOUHQhtvIAQAIOkJOEFjDVfTkAAAQNIScIGjloCcHAIBgI+QEgTVcRU8OAABBQ8gJAiYeAwAQfIScIGh97CGd3EIOAEDwEHKCoDXDVQAABB0hJwjaWIsBsuIxAADBQsgJgvhYVjwGACDYCDlBEB/TNCfHfYSeHAAAgoWQEwTxscdCDsNVAAAEDSEnCI735DBcBQBAsBBygsA7J+dIfaPqGjwhrg0AABcHQk4QeBcDlLjDCgCAYCHkBEFUZIQVdNzcYQUAQFAQcoIk/tiCgNxhBQBAcBBygoQ7rAAACC5CTpBwhxUAAMFFyAkS7x1W9OQAABAchJwgYdVjAACCi5ATJMzJAQAguAg5QXL87irm5AAAEAyEnCDx9uSwGCAAAMFByAkSa04OiwECABAUAQk5Bw8e1Lhx45SRkaHY2Fhdd911WrNmjbXfGKPJkycrNTVVsbGxys3N1ZYtW3yOUVVVpYKCAsXHxysxMVGFhYWqqanxKbN+/XrdcMMNiomJUXp6uqZPnx6I5viFdXcVE48BAAiKgIScO++8U0VFRXr99de1YcMG9e3bV7m5udqzZ48kafr06Zo5c6ZmzZqlkpIStWrVSnl5eTp69Kh1jIKCAm3atElFRUWaP3++VqxYodGjR1v73W63+vbtq4yMDJWWlmrGjBmaMmWKXnrppUA06YId78kh5AAAEBTGzw4fPmwiIyPN/PnzfbZfc8015uGHHzYej8c4nU4zY8YMa191dbVxOBxm7ty5xhhjNm/ebCSZNWvWWGU+/PBDY7PZzJ49e4wxxrzwwgsmKSnJ1NbWWmUmTpxosrKyzrquLpfLSDIul+u82nouNnxbbTImzjfZTy4O+LkAAGjJzvb72+89OQ0NDWpsbFRMTIzP9tjYWH366afavn27ysvLlZuba+1LSEhQdna2iouLJUnFxcVKTEzUtddea5XJzc1VRESESkpKrDK9e/eW3W63yuTl5amsrEwHDhzwd7MuGD05AAAEl99DTps2bZSTk6PHH39ce/fuVWNjo9544w0VFxdr3759Ki8vlySlpKT4fC4lJcXaV15eruTkZJ/9UVFRatu2rU+ZUx3Du+9Uamtr5Xa7fV7B4p2Tc7iuUfWNnqCdFwCAi1VA5uS8/vrrMsaoY8eOcjgcmjlzpgYPHqyIiNDezDV16lQlJCRYr/T09KCdu7Ujyvr5IHdYAQAQcAFJHV26dNHHH3+smpoa7d69W6tXr1Z9fb06d+4sp9MpSaqoqPD5TEVFhbXP6XSqsrLSZ39DQ4Oqqqp8ypzqGN59pzJp0iS5XC7rtXv37gtv7FmKioxQK3ukJO6wAgAgGALatdKqVSulpqbqwIEDWrRokQYMGKDMzEw5nU4tWbLEKud2u1VSUqKcnBxJUk5Ojqqrq1VaWmqVWbp0qTwej7Kzs60yK1asUH398cBQVFSkrKwsJSUlnbI+DodD8fHxPq9g4tEOAAAET0BCzqJFi7Rw4UJt375dRUVFuummm9StWzeNGDFCNptN48aN0xNPPKH3339fGzZs0NChQ5WWlqaBAwdKkrp37678/HyNGjVKq1ev1sqVKzV27FgNGjRIaWlpkqQhQ4bIbrersLBQmzZt0ltvvaXnnntO48ePD0ST/OL4QzoZrgIAINCizlzk3LlcLk2aNEnffvut2rZtqzvuuENPPvmkoqObvuQffPBBHTp0SKNHj1Z1dbWuv/56LVy40OeOrDlz5mjs2LHq06ePIiIidMcdd2jmzJnW/oSEBH300UcaM2aMevXqpfbt22vy5Mk+a+mEG2tBQHpyAAAIOJsxxoS6EqHidruVkJAgl8sVlKGrwlfXaMlXlZp2e08N+lGngJ8PAICW6Gy/v3l2VRAxJwcAgOAh5ARRfIz3+VXMyQEAINAIOUHk7ck5SE8OAAABR8gJouOPdqAnBwCAQCPkBJH37ioXiwECABBwhJwg8vbkEHIAAAg8Qk4QJcQRcgAACBZCThAlxBJyAAAIFkJOEFkh53C9LuI1GAEACApCThAlxtklSXWNHh2t94S4NgAAtGyEnCBqZY9UZIRNEkNWAAAEGiEniGw2G/NyAAAIEkJOkCUeCznVh+tCXBMAAFo2Qk6QxdOTAwBAUBBygozhKgAAgoOQE2SJLAgIAEBQEHKCjJ4cAACCg5ATZIQcAACCg5ATZAnW3VWEHAAAAomQE2T05AAAEByEnCAj5AAAEByEnCDzPr+KkAMAQGARcoKMnhwAAIKDkBNkJ4YcY0yIawMAQMtFyAky72KAjR6jmtqGENcGAICWi5ATZDHRkbJHNf2xM2QFAEDgEHJCgHk5AAAEHiEnBKyQw4KAAAAEDCEnBBLpyQEAIOAIOSHAcBUAAIFHyAkB6/lVhBwAAAKGkBMCCXH05AAAEGiEnBBguAoAgMDze8hpbGzUI488oszMTMXGxqpLly56/PHHfVb3HT58uGw2m88rPz/f5zhVVVUqKChQfHy8EhMTVVhYqJqaGp8y69ev1w033KCYmBilp6dr+vTp/m5OQHB3FQAAgRfl7wM+/fTTevHFF/Xaa6/p8ssv1+eff64RI0YoISFB9913n1UuPz9fs2fPtt47HA6f4xQUFGjfvn0qKipSfX29RowYodGjR+vNN9+UJLndbvXt21e5ubmaNWuWNmzYoJEjRyoxMVGjR4/2d7P8KpHhKgAAAs7vIWfVqlUaMGCA+vfvL0m69NJLNXfuXK1evdqnnMPhkNPpPOUxvvzySy1cuFBr1qzRtddeK0l6/vnndfPNN+sPf/iD0tLSNGfOHNXV1emVV16R3W7X5ZdfrrVr1+qZZ54J+5DDcBUAAIHn9+Gq6667TkuWLNHXX38tSVq3bp0+/fRT9evXz6fc8uXLlZycrKysLN1zzz3av3+/ta+4uFiJiYlWwJGk3NxcRUREqKSkxCrTu3dv2e12q0xeXp7Kysp04MCBU9attrZWbrfb5xUKx++uqgvJ+QEAuBj4vSfnoYcektvtVrdu3RQZGanGxkY9+eSTKigosMrk5+fr9ttvV2ZmprZt26bf/e536tevn4qLixUZGany8nIlJyf7VjQqSm3btlV5ebkkqby8XJmZmT5lUlJSrH1JSUkn1W3q1Kl69NFH/d3kc5YQ2xTMmJMDAEDg+D3kvP3225ozZ47efPNNawhp3LhxSktL07BhwyRJgwYNssr37NlTV155pbp06aLly5erT58+/q6SZdKkSRo/frz13u12Kz09PWDnOx1vT87B2gZ5PEYREbag1wEAgJbO7yFnwoQJeuihh6wg07NnT+3cuVNTp061Qs53de7cWe3bt9fWrVvVp08fOZ1OVVZW+pRpaGhQVVWVNY/H6XSqoqLCp4z3/enm+jgcjpMmOIeCN+QYIx082mCtmwMAAPzH73NyDh8+rIgI38NGRkbK4/Gc9jPffvut9u/fr9TUVElSTk6OqqurVVpaapVZunSpPB6PsrOzrTIrVqxQff3xIZ+ioiJlZWWdcqgqnNijIhRnj5TEvBwAAALF7yHnlltu0ZNPPqkFCxZox44deu+99/TMM8/otttukyTV1NRowoQJ+uyzz7Rjxw4tWbJEAwYMUNeuXZWXlydJ6t69u/Lz8zVq1CitXr1aK1eu1NixYzVo0CClpaVJkoYMGSK73a7CwkJt2rRJb731lp577jmf4ahwxh1WAAAElt+Hq55//nk98sgjuvfee1VZWam0tDTdddddmjx5sqSmXp3169frtddeU3V1tdLS0tS3b189/vjjPkNJc+bM0dixY9WnTx9FRETojjvu0MyZM639CQkJ+uijjzRmzBj16tVL7du31+TJk8P+9nGvhNho7XMdJeQAABAgNnPiUsQXGbfbrYSEBLlcLsXHxwf13L/6c7FKtlfp+cFX65ar0oJ6bgAAmrOz/f7m2VUhwpPIAQAILEJOiFiPdjjMxGMAAAKBkBMiSXFNCwIeYEFAAAACgpATIolWyKEnBwCAQCDkhEjSseGqanpyAAAICEJOiNCTAwBAYBFyQoSeHAAAAouQEyJJrejJAQAgkAg5IWLdQn6kXh7PRbseIwAAAUPICZHE2KaeHGMk91GGrAAA8DdCTojYoyLU2tH06DDWygEAwP8IOSHkHbJiXg4AAP5HyAkh76rH1YQcAAD8jpATQlZPziGGqwAA8DdCTgixICAAAIFDyAkhFgQEACBwCDkhRE8OAACBQ8gJIXpyAAAIHEJOCCXRkwMAQMAQckLo+Do59OQAAOBvhJwQYp0cAAACh5ATQgxXAQAQOIScEEps1TRcdbTeo6P1jSGuDQAALQshJ4TaOKIUFWGTRG8OAAD+RsgJIZvNxqMdAAAIEEJOiCUy+RgAgIAg5IRYEreRAwAQEIScEOPRDgAABAYhJ8SOP9qBkAMAgD8RckLs+Fo5DFcBAOBPhJwQY7gKAIDAIOSEGE8iBwAgMPwechobG/XII48oMzNTsbGx6tKlix5//HEZY6wyxhhNnjxZqampio2NVW5urrZs2eJznKqqKhUUFCg+Pl6JiYkqLCxUTU2NT5n169frhhtuUExMjNLT0zV9+nR/Nyfg6MkBACAw/B5ynn76ab344ov6n//5H3355Zd6+umnNX36dD3//PNWmenTp2vmzJmaNWuWSkpK1KpVK+Xl5eno0aNWmYKCAm3atElFRUWaP3++VqxYodGjR1v73W63+vbtq4yMDJWWlmrGjBmaMmWKXnrpJX83KaDoyQEAIECMn/Xv39+MHDnSZ9vtt99uCgoKjDHGeDwe43Q6zYwZM6z91dXVxuFwmLlz5xpjjNm8ebORZNasWWOV+fDDD43NZjN79uwxxhjzwgsvmKSkJFNbW2uVmThxosnKyjrrurpcLiPJuFyuc2+on5SVu03GxPnmyimLQlYHAACak7P9/vZ7T851112nJUuW6Ouvv5YkrVu3Tp9++qn69esnSdq+fbvKy8uVm5trfSYhIUHZ2dkqLi6WJBUXFysxMVHXXnutVSY3N1cREREqKSmxyvTu3Vt2u90qk5eXp7KyMh04cOCUdautrZXb7fZ5hVrbVk31dx2pV0OjJ8S1AQCg5Yjy9wEfeughud1udevWTZGRkWpsbNSTTz6pgoICSVJ5ebkkKSUlxedzKSkp1r7y8nIlJyf7VjQqSm3btvUpk5mZedIxvPuSkpJOqtvUqVP16KOP+qGV/pMUZ5fNJhnTdBt5hzaOUFcJAIAWwe89OW+//bbmzJmjN998U//3f/+n1157TX/4wx/02muv+ftU52zSpElyuVzWa/fu3aGukiIjbEqMbZqXU3WIyccAAPiL33tyJkyYoIceekiDBg2SJPXs2VM7d+7U1KlTNWzYMDmdTklSRUWFUlNTrc9VVFTohz/8oSTJ6XSqsrLS57gNDQ2qqqqyPu90OlVRUeFTxvveW+a7HA6HHI7w6ylp28quA4frtf9QraQ2oa4OAAAtgt97cg4fPqyICN/DRkZGyuNpmm+SmZkpp9OpJUuWWPvdbrdKSkqUk5MjScrJyVF1dbVKS0utMkuXLpXH41F2drZVZsWKFaqvP35XUlFRkbKysk45VBXO2rVqCl705AAA4D9+Dzm33HKLnnzySS1YsEA7duzQe++9p2eeeUa33XabJMlms2ncuHF64okn9P7772vDhg0aOnSo0tLSNHDgQElS9+7dlZ+fr1GjRmn16tVauXKlxo4dq0GDBiktLU2SNGTIENntdhUWFmrTpk1666239Nxzz2n8+PH+blLAeScfE3IAAPAfvw9XPf/883rkkUd07733qrKyUmlpabrrrrs0efJkq8yDDz6oQ4cOafTo0aqurtb111+vhQsXKiYmxiozZ84cjR07Vn369FFERITuuOMOzZw509qfkJCgjz76SGPGjFGvXr3Uvn17TZ482WctneYi6VjI2V9DyAEAwF9sxpywFPFFxu12KyEhQS6XS/Hx8SGrxx8Wlel/lm3Vb36coccHXhGyegAA0Byc7fc3z64KAwxXAQDgf4ScMNCu9bHhqkO1Ia4JAAAtByEnDNCTAwCA/xFywgAhBwAA/yPkhAHvOjkHDtfL47lo54EDAOBXhJwwkNSq6bEOjR4j99H6M5QGAABng5ATBhxRkWrjaFqyaD9DVgAA+AUhJ0y0bc28HAAA/ImQEybasuoxAAB+RcgJE+24wwoAAL8i5ISJ47eRsyAgAAD+QMgJE9ZDOunJAQDALwg5YYLhKgAA/IuQEybaHlsQkJADAIB/EHLCRDvurgIAwK8IOWGC51cBAOBfhJww0a61d+JxrYzh+VUAAFwoQk6YaN+6aU5OfaOR+0hDiGsDAEDzR8gJEzHRkWoT0/T8qn/WsFYOAAAXipATRjoc683550FCDgAAF4qQE0bat2kKOf+iJwcAgAtGyAkj9OQAAOA/hJww0oGeHAAA/IaQE0baH7uNnJ4cAAAuHCEnjNCTAwCA/xBywog35HALOQAAF46QE0a8CwL+6yCPdgAA4EIRcsKItydn/6FaeTw82gEAgAtByAkj7Vodf7SD60h9iGsDAEDzRsgJI/aoCCXGRUti8jEAABeKkBNm2rMgIAAAfkHICTPWqsf05AAAcEH8HnIuvfRS2Wy2k15jxoyRJP30pz89ad/dd9/tc4xdu3apf//+iouLU3JysiZMmKCGhgafMsuXL9c111wjh8Ohrl276tVXX/V3U0LC+/wqenIAALgwUf4+4Jo1a9TY2Gi937hxo/793/9dv/jFL6xto0aN0mOPPWa9j4uLs35ubGxU//795XQ6tWrVKu3bt09Dhw5VdHS0nnrqKUnS9u3b1b9/f919992aM2eOlixZojvvvFOpqanKy8vzd5OCytuT868abiMHAOBC+D3kdOjQwef9tGnT1KVLF914443Wtri4ODmdzlN+/qOPPtLmzZu1ePFipaSk6Ic//KEef/xxTZw4UVOmTJHdbtesWbOUmZmpP/7xj5Kk7t2769NPP9Wzzz7b7ENO+zZNj3Zg4jEAABcmoHNy6urq9MYbb2jkyJGy2WzW9jlz5qh9+/a64oorNGnSJB0+fNjaV1xcrJ49eyolJcXalpeXJ7fbrU2bNlllcnNzfc6Vl5en4uLi761PbW2t3G63zyvc8CRyAAD8w+89OSeaN2+eqqurNXz4cGvbkCFDlJGRobS0NK1fv14TJ05UWVmZ3n33XUlSeXm5T8CRZL0vLy//3jJut1tHjhxRbGzsKeszdepUPfroo/5qXkAkx8dIkioJOQAAXJCAhpyXX35Z/fr1U1pamrVt9OjR1s89e/ZUamqq+vTpo23btqlLly6BrI4mTZqk8ePHW+/dbrfS09MDes5zlRLf1JNT4T4a4poAANC8BWy4aufOnVq8eLHuvPPO7y2XnZ0tSdq6daskyel0qqKiwqeM9713Hs/pysTHx5+2F0eSHA6H4uPjfV7hJqVNU09O1aE61TY0nqE0AAA4nYCFnNmzZys5OVn9+/f/3nJr166VJKWmpkqScnJytGHDBlVWVlplioqKFB8frx49elhllixZ4nOcoqIi5eTk+LEFoZEYFy17VNNlqXQzZAUAwPkKSMjxeDyaPXu2hg0bpqio4yNi27Zt0+OPP67S0lLt2LFD77//voYOHarevXvryiuvlCT17dtXPXr00G9+8xutW7dOixYt0n//939rzJgxcjiahnLuvvtuffPNN3rwwQf11Vdf6YUXXtDbb7+t+++/PxDNCSqbzWYNWVUeZMgKAIDzFZCQs3jxYu3atUsjR4702W6327V48WL17dtX3bp10wMPPKA77rhDH3zwgVUmMjJS8+fPV2RkpHJycvTrX/9aQ4cO9VlXJzMzUwsWLFBRUZGuuuoq/fGPf9Rf/vKXZn/7uJfz2OTjchc9OQAAnC+bMcaEuhKh4na7lZCQIJfLFVbzc8a8+X9asH6fJv+8h0Zenxnq6gAAEFbO9vubZ1eFIe/k4wqGqwAAOG+EnDDkTDh2G7mLkAMAwPki5IShlGNzciq4uwoAgPNGyAlDx0MOPTkAAJwvQk4YIuQAAHDhCDlhyLtOzqG6Rh08Wh/i2gAA0DwRcsJQnD1KbWKaFlFkXg4AAOeHkBOmvENWlQxZAQBwXgg5Ycpa9ZiQAwDAeSHkhKnkY/NyGK4CAOD8EHLC1PHnVx0JcU0AAGieCDlhKi0xVpK0l1WPAQA4L4ScMNXRG3Kq6ckBAOB8EHLCVBohBwCAC0LICVNpiU1zcg4crtfhuoYQ1wYAgOaHkBOm2sREWwsC0psDAMC5I+SEMe+8nD3VTD4GAOBcEXLCGPNyAAA4f4ScMOadl0PIAQDg3BFywliaNVxFyAEA4FwRcsIYa+UAAHD+CDlh7PicHCYeAwBwrgg5Ycwbcva5jsjjMSGuDQAAzQshJ4yltHEowibVNxr9q4ankQMAcC4IOWEsKjLCeho5k48BADg3hJwwxx1WAACcH0JOmEtvGydJ2lV1OMQ1AQCgeSHkhDkr5Own5AAAcC4IOWEu41jI2UnIAQDgnBBywlxGO4arAAA4H4ScMNfpWMjZ5zqiugZPiGsDAEDzQcgJcx1aOxRnj5THSN8eoDcHAICz5feQc+mll8pms530GjNmjCTp6NGjGjNmjNq1a6fWrVvrjjvuUEVFhc8xdu3apf79+ysuLk7JycmaMGGCGhoafMosX75c11xzjRwOh7p27apXX33V300JCzabTZ2883IYsgIA4Kz5PeSsWbNG+/bts15FRUWSpF/84heSpPvvv18ffPCB3nnnHX388cfau3evbr/9duvzjY2N6t+/v+rq6rRq1Sq99tprevXVVzV58mSrzPbt29W/f3/ddNNNWrt2rcaNG6c777xTixYt8ndzwkIn7rACAOCc2YwxAX0o0rhx4zR//nxt2bJFbrdbHTp00Jtvvqn/+I//kCR99dVX6t69u4qLi/XjH/9YH374oX7+859r7969SklJkSTNmjVLEydO1D//+U/Z7XZNnDhRCxYs0MaNG63zDBo0SNXV1Vq4cOFZ183tdishIUEul0vx8fH+bbgfPblgs/7fJ9s18ieZmnxLj1BXBwCAkDrb7++Azsmpq6vTG2+8oZEjR8pms6m0tFT19fXKzc21ynTr1k2dOnVScXGxJKm4uFg9e/a0Ao4k5eXlye12a9OmTVaZE4/hLeM9xunU1tbK7Xb7vJqDTu1aSZJ2VR0KcU0AAGg+Ahpy5s2bp+rqag0fPlySVF5eLrvdrsTERJ9yKSkpKi8vt8qcGHC8+737vq+M2+3WkSOnf/zB1KlTlZCQYL3S09MvpHlBw1o5AACcu4CGnJdffln9+vVTWlpaIE9z1iZNmiSXy2W9du/eHeoqnRXvWjk7qw6r0RPQ0UUAAFqMqEAdeOfOnVq8eLHeffdda5vT6VRdXZ2qq6t9enMqKirkdDqtMqtXr/Y5lvfuqxPLfPeOrIqKCsXHxys2Nva0dXI4HHI4HBfUrlC4JClO9qgI1TV4tOfAEWvtHAAAcHoB68mZPXu2kpOT1b9/f2tbr169FB0drSVLlljbysrKtGvXLuXk5EiScnJytGHDBlVWVlplioqKFB8frx49elhlTjyGt4z3GC1NZIRNnds3zcvZ+s+DIa4NAADNQ0BCjsfj0ezZszVs2DBFRR3vLEpISFBhYaHGjx+vZcuWqbS0VCNGjFBOTo5+/OMfS5L69u2rHj166De/+Y3WrVunRYsW6b//+781ZswYqxfm7rvv1jfffKMHH3xQX331lV544QW9/fbbuv/++wPRnLDQJbm1JGlrZU2IawIAQPMQkOGqxYsXa9euXRo5cuRJ+5599llFRETojjvuUG1trfLy8vTCCy9Y+yMjIzV//nzdc889ysnJUatWrTRs2DA99thjVpnMzEwtWLBA999/v5577jldcskl+stf/qK8vLxANCcsdO3QFHK2VXKHFQAAZyPg6+SEs+ayTo4kvb9ur+6b+4V6ZSTpb/dcF+rqAAAQMmGxTg78x9uTs7WyRhdxLgUA4KwRcpqJzh1ayWaTXEfqtf9QXairAwBA2CPkNBMx0ZFKT2q6dZzJxwAAnBkhpxnp0uHYbeSEHAAAzoiQ04z8IKWNJOnrCtbKAQDgTAg5zUiP1KYZ5Jv3No8HiwIAEEqEnGbk8rSmkPPlPrc8PMMKAIDvRchpRjLbt5IjKkKH6hq1s4onkgMA8H0IOc1IVGSEuh0bstq01xXi2gAAEN4IOc0M83IAADg7hJxmxjsvZxMhBwCA70XIaWa8IWfDHhePdwAA4HsQcpqZHmnxskdFqOpQnXbsZ/IxAACnQ8hpZhxRkbqyY4IkqXTngRDXBgCA8EXIaYZ6ZSRJIuQAAPB9CDnN0DVWyKkKcU0AAAhfhJxmyNuT83VFjf5VUxvi2gAAEJ4IOc1Q+9YOa72cT7b8M8S1AQAgPBFymqkbszpIkj4uI+QAAHAqhJxm6qeXNYWcFVv+xcM6AQA4BUJOM3VNRpLaOKJUdahOa3YwARkAgO8i5DRT0ZERyrvCKUl6f93eENcGAIDwQ8hpxgb8ME2StGDDPtU1eEJcGwAAwgshpxm7rkt7dWjjUPXhei3+siLU1QEAIKwQcpqxyAibBv9buiTp5U+3h7g2AACEF0JOM/frnAzZIyNUuvOA/m8Xj3kAAMCLkNPMJbeJ0a3H5uY8t3hLiGsDAED4IOS0AGNu6qroSJs+/vqfWvZVZairAwBAWCDktACZ7Vtp5E8yJUmPfrBJNbUNIa4RAAChR8hpIcb+rKuc8THasf+wHn5vg4xhFWQAwMWNkNNCtImJ1vNDrlZkhE1/X7tXj8//kqADALioEXJakH+7tK2euu0KSdIrK7dr9Oulqj5cF+JaAQAQGgEJOXv27NGvf/1rtWvXTrGxserZs6c+//xza//w4cNls9l8Xvn5+T7HqKqqUkFBgeLj45WYmKjCwkLV1NT4lFm/fr1uuOEGxcTEKD09XdOnTw9Ec5qVX/1bJ834jytlj4xQ0eYK3ThjuWZ9vI2wAwC46ET5+4AHDhzQT37yE91000368MMP1aFDB23ZskVJSUk+5fLz8zV79mzrvcPh8NlfUFCgffv2qaioSPX19RoxYoRGjx6tN998U5LkdrvVt29f5ebmatasWdqwYYNGjhypxMREjR492t/NalZ+cW26spxtNOGd9SqrOKhpH36l/2/x1+rTLUU/65asG7M6qH1rx5kPBABAM2Yzfp648dBDD2nlypX65JNPTltm+PDhqq6u1rx58065/8svv1SPHj20Zs0aXXvttZKkhQsX6uabb9a3336rtLQ0vfjii3r44YdVXl4uu91unXvevHn66quvzqqubrdbCQkJcrlcio+PP7eGNgMNjR69+8UezV65Q1/uc/vsy2gXpx+mJ+qqSxL1g5TW6tKhtVITYmSz2UJUWwAAzs7Zfn/7PeT06NFDeXl5+vbbb/Xxxx+rY8eOuvfeezVq1CirzPDhwzVv3jzZ7XYlJSXpZz/7mZ544gm1a9dOkvTKK6/ogQce0IEDx1fwbWhoUExMjN555x3ddtttGjp0qNxut09QWrZsmX72s5+pqqrqpJ4jSaqtrVVtba313u12Kz09vcWGHC9jjNZ/69KSLyu0+MtKbf5O4PGKs0cqPSlOzoQYpSbEyJkQo+Q2MUqKi1ZCXLQSY+1KjItWYly0YqMjCUQAgJA425Dj9+Gqb775Ri+++KLGjx+v3/3ud1qzZo3uu+8+2e12DRs2TFLTUNXtt9+uzMxMbdu2Tb/73e/Ur18/FRcXKzIyUuXl5UpOTvataFSU2rZtq/LycklSeXm5MjMzfcqkpKRY+04VcqZOnapHH33U300OezabTVelJ+qq9ESN75sl1+F6rfu2Wl/sqtbGvS59888a7dx/WIfrGlVWcVBlFQfPeMzICJtioyMVEx2pmOgIxUZHKtYeqZioSEVF2hQZYVNURNN/m36OUMSJ22w2RfjMCLMdq+t3t3x32/eVOzl0kcMAILTG//tlahMTHZJz+z3keDweXXvttXrqqackSVdffbU2btyoWbNmWSFn0KBBVvmePXvqyiuvVJcuXbR8+XL16dPH31WyTJo0SePHj7fee3tyLjYJcdHqfVkH9b6sg7WtvtGjXVWHtefAEZW7jmqf66jK3UdU6a6V60i9qo/Uq/pwvVxH6lTfaNToMaqpbWDhQQDA97rnp11aTshJTU1Vjx49fLZ1795df/vb3077mc6dO6t9+/baunWr+vTpI6fTqcpK38cTNDQ0qKqqSk6nU5LkdDpVUVHhU8b73lvmuxwOx0kTnNEkOjJCXTo0zc35PsYYHa5r1MGjDTpa36gj9Y2+/63zqMHjUaPHWK8Gj5HHGDU0Hvvvse3ekVLvgKnxOY93mznFtpMLnumzAIDQiLP7PWqcNb+f+Sc/+YnKysp8tn399dfKyMg47We+/fZb7d+/X6mpqZKknJwcVVdXq7S0VL169ZIkLV26VB6PR9nZ2VaZhx9+WPX19YqObkqIRUVFysrKOuVQFfzDZrOplSNKrRyh+0sLAMDZ8Ps6Offff78+++wzPfXUU9q6davefPNNvfTSSxozZowkqaamRhMmTNBnn32mHTt2aMmSJRowYIC6du2qvLw8SU09P/n5+Ro1apRWr16tlStXauzYsRo0aJDS0pqeuD1kyBDZ7XYVFhZq06ZNeuutt/Tcc8/5DEcBAICLmAmADz74wFxxxRXG4XCYbt26mZdeesnad/jwYdO3b1/ToUMHEx0dbTIyMsyoUaNMeXm5zzH2799vBg8ebFq3bm3i4+PNiBEjzMGDB33KrFu3zlx//fXG4XCYjh07mmnTpp1TPV0ul5FkXC7X+TcWAAAE1dl+f/v9FvLmpKWvkwMAQEt0tt/fPLsKAAC0SIQcAADQIhFyAABAi0TIAQAALRIhBwAAtEiEHAAA0CIRcgAAQItEyAEAAC0SIQcAALRIhBwAANAiXdSPkvY+0cLtdoe4JgAA4Gx5v7fP9GSqizrkHDx4UJKUnp4e4poAAIBzdfDgQSUkJJx2/0X9gE6Px6O9e/eqTZs2stlsfjuu2+1Wenq6du/e3WIf/NnS20j7mr+W3kba1/y19DYGsn3GGB08eFBpaWmKiDj9zJuLuicnIiJCl1xyScCOHx8f3yL/4p6opbeR9jV/Lb2NtK/5a+ltDFT7vq8Hx4uJxwAAoEUi5AAAgBaJkBMADodDv//97+VwOEJdlYBp6W2kfc1fS28j7Wv+Wnobw6F9F/XEYwAA0HLRkwMAAFokQg4AAGiRCDkAAKBFIuQAAIAWiZATAH/605906aWXKiYmRtnZ2Vq9enWoq3RGU6dO1b/927+pTZs2Sk5O1sCBA1VWVuZT5qc//alsNpvP6+677/Yps2vXLvXv319xcXFKTk7WhAkT1NDQEMymnNaUKVNOqn+3bt2s/UePHtWYMWPUrl07tW7dWnfccYcqKip8jhHO7bv00ktPap/NZtOYMWMkNc/rt2LFCt1yyy1KS0uTzWbTvHnzfPYbYzR58mSlpqYqNjZWubm52rJli0+ZqqoqFRQUKD4+XomJiSosLFRNTY1PmfXr1+uGG25QTEyM0tPTNX369EA3TdL3t6++vl4TJ05Uz5491apVK6WlpWno0KHau3evzzFOdd2nTZvmUyYc2ydJw4cPP6nu+fn5PmXC+fpJZ27jqf5N2mw2zZgxwyoTztfwbL4b/PW7c/ny5brmmmvkcDjUtWtXvfrqqxfeAAO/+utf/2rsdrt55ZVXzKZNm8yoUaNMYmKiqaioCHXVvldeXp6ZPXu22bhxo1m7dq25+eabTadOnUxNTY1V5sYbbzSjRo0y+/bts14ul8va39DQYK644gqTm5trvvjiC/OPf/zDtG/f3kyaNCkUTTrJ73//e3P55Zf71P+f//yntf/uu+826enpZsmSJebzzz83P/7xj811111n7Q/39lVWVvq0raioyEgyy5YtM8Y0z+v3j3/8wzz88MPm3XffNZLMe++957N/2rRpJiEhwcybN8+sW7fO3HrrrSYzM9McOXLEKpOfn2+uuuoq89lnn5lPPvnEdO3a1QwePNja73K5TEpKiikoKDAbN240c+fONbGxsebPf/5zSNtXXV1tcnNzzVtvvWW++uorU1xcbH70ox+ZXr16+RwjIyPDPPbYYz7X9cR/t+HaPmOMGTZsmMnPz/epe1VVlU+ZcL5+xpy5jSe2bd++feaVV14xNpvNbNu2zSoTztfwbL4b/PG785tvvjFxcXFm/PjxZvPmzeb55583kZGRZuHChRdUf0KOn/3oRz8yY8aMsd43NjaatLQ0M3Xq1BDW6txVVlYaSebjjz+2tt14443mt7/97Wk/849//MNERESY8vJya9uLL75o4uPjTW1tbSCre1Z+//vfm6uuuuqU+6qrq010dLR55513rG1ffvmlkWSKi4uNMeHfvu/67W9/a7p06WI8Ho8xpvlfv+9+gXg8HuN0Os2MGTOsbdXV1cbhcJi5c+caY4zZvHmzkWTWrFljlfnwww+NzWYze/bsMcYY88ILL5ikpCSfNk6cONFkZWUFuEW+TvUF+V2rV682kszOnTutbRkZGebZZ5897WfCuX3Dhg0zAwYMOO1nmtP1M+bsruGAAQPMz372M59tzeUaGnPyd4O/fnc++OCD5vLLL/c5169+9SuTl5d3QfVluMqP6urqVFpaqtzcXGtbRESEcnNzVVxcHMKanTuXyyVJatu2rc/2OXPmqH379rriiis0adIkHT582NpXXFysnj17KiUlxdqWl5cnt9utTZs2BafiZ7BlyxalpaWpc+fOKigo0K5duyRJpaWlqq+v97l23bp1U6dOnaxr1xza51VXV6c33nhDI0eO9Hn4bHO/fifavn27ysvLfa5ZQkKCsrOzfa5ZYmKirr32WqtMbm6uIiIiVFJSYpXp3bu37Ha7VSYvL09lZWU6cOBAkFpzdlwul2w2mxITE322T5s2Te3atdPVV1+tGTNm+AwDhHv7li9fruTkZGVlZemee+7R/v37rX0t7fpVVFRowYIFKiwsPGlfc7mG3/1u8NfvzuLiYp9jeMtc6HfnRf2ATn/717/+pcbGRp8LKUkpKSn66quvQlSrc+fxeDRu3Dj95Cc/0RVXXGFtHzJkiDIyMpSWlqb169dr4sSJKisr07vvvitJKi8vP2XbvftCLTs7W6+++qqysrK0b98+Pfroo7rhhhu0ceNGlZeXy263n/TlkZKSYtU93Nt3onnz5qm6ulrDhw+3tjX36/dd3jqdqs4nXrPk5GSf/VFRUWrbtq1PmczMzJOO4d2XlJQUkPqfq6NHj2rixIkaPHiwz8MO77vvPl1zzTVq27atVq1apUmTJmnfvn165plnJIV3+/Lz83X77bcrMzNT27Zt0+9+9zv169dPxcXFioyMbFHXT5Jee+01tWnTRrfffrvP9uZyDU/13eCv352nK+N2u3XkyBHFxsaeV50JOTjJmDFjtHHjRn366ac+20ePHm393LNnT6WmpqpPnz7atm2bunTpEuxqnrN+/fpZP1955ZXKzs5WRkaG3n777fP+BxSuXn75ZfXr109paWnWtuZ+/S5m9fX1+uUvfyljjF588UWffePHj7d+vvLKK2W323XXXXdp6tSpYf+4gEGDBlk/9+zZU1deeaW6dOmi5cuXq0+fPiGsWWC88sorKigoUExMjM/25nINT/fdEM4YrvKj9u3bKzIy8qRZ5RUVFXI6nSGq1bkZO3as5s+fr2XLlumSSy753rLZ2dmSpK1bt0qSnE7nKdvu3RduEhMTddlll2nr1q1yOp2qq6tTdXW1T5kTr11zad/OnTu1ePFi3Xnnnd9brrlfP2+dvu/fm9PpVGVlpc/+hoYGVVVVNZvr6g04O3fuVFFRkU8vzqlkZ2eroaFBO3bskBT+7TtR586d1b59e5+/k839+nl98sknKisrO+O/Syk8r+Hpvhv89bvzdGXi4+Mv6H9CCTl+ZLfb1atXLy1ZssTa5vF4tGTJEuXk5ISwZmdmjNHYsWP13nvvaenSpSd1jZ7K2rVrJUmpqamSpJycHG3YsMHnl5L3l3KPHj0CUu8LUVNTo23btik1NVW9evVSdHS0z7UrKyvTrl27rGvXXNo3e/ZsJScnq3///t9brrlfv8zMTDmdTp9r5na7VVJS4nPNqqurVVpaapVZunSpPB6PFfJycnK0YsUK1dfXW2WKioqUlZUV8qEOb8DZsmWLFi9erHbt2p3xM2vXrlVERIQ1zBPO7fuub7/9Vvv37/f5O9mcr9+JXn75ZfXq1UtXXXXVGcuG0zU803eDv3535uTk+BzDW+aCvzsvaNoyTvLXv/7VOBwO8+qrr5rNmzeb0aNHm8TERJ9Z5eHonnvuMQkJCWb58uU+tzEePnzYGGPM1q1bzWOPPWY+//xzs337dvP3v//ddO7c2fTu3ds6hvc2wb59+5q1a9eahQsXmg4dOoTNLdYPPPCAWb58udm+fbtZuXKlyc3NNe3btzeVlZXGmKbbIDt16mSWLl1qPv/8c5OTk2NycnKsz4d7+4xpupuvU6dOZuLEiT7bm+v1O3jwoPniiy/MF198YSSZZ555xnzxxRfW3UXTpk0ziYmJ5u9//7tZv369GTBgwClvIb/66qtNSUmJ+fTTT80PfvADn1uQq6urTUpKivnNb35jNm7caP7617+auLi4oNye+33tq6urM7feequ55JJLzNq1a33+XXrvSFm1apV59tlnzdq1a822bdvMG2+8YTp06GCGDh0a9u07ePCg+a//+i9TXFxstm/fbhYvXmyuueYa84Mf/MAcPXrUOkY4X78ztdHL5XKZuLg48+KLL570+XC/hmf6bjDGP787vbeQT5gwwXz55ZfmT3/6E7eQh6vnn3/edOrUydjtdvOjH/3IfPbZZ6Gu0hlJOuVr9uzZxhhjdu3aZXr37m3atm1rHA6H6dq1q5kwYYLPOivGGLNjxw7Tr18/Exsba9q3b28eeOABU19fH4IWnexXv/qVSU1NNXa73XTs2NH86le/Mlu3brX2HzlyxNx7770mKSnJxMXFmdtuu83s27fP5xjh3D5jjFm0aJGRZMrKyny2N9frt2zZslP+vRw2bJgxpuk28kceecSkpKQYh8Nh+vTpc1Lb9+/fbwYPHmxat25t4uPjzYgRI8zBgwd9yqxbt85cf/31xuFwmI4dO5pp06aFvH3bt28/7b9L79pHpaWlJjs72yQkJJiYmBjTvXt389RTT/mEhHBt3+HDh03fvn1Nhw4dTHR0tMnIyDCjRo066X8Iw/n6namNXn/+859NbGysqa6uPunz4X4Nz/TdYIz/fncuW7bM/PCHPzR2u9107tzZ5xzny3asEQAAAC0Kc3IAAECLRMgBAAAtEiEHAAC0SIQcAADQIhFyAABAi0TIAQAALRIhBwAAtEiEHAAA0CIRcgAAQItEyAEAAC0SIQcAALRIhBwAANAi/f9Eo+rnquFDegAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(losses)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "76b1b156-6085-46e3-989b-fb1eb36f1afc",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[Parameter containing:\n",
" tensor([[ 1.3038, -1.0067, 0.4772, 0.9822]], requires_grad=True),\n",
" Parameter containing:\n",
" tensor([0.9850], requires_grad=True)]"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(net4.parameters())"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5e4afa8e-104e-4f83-b3ac-f89439ed0cd6",
"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": "3.8.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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