450 lines
180 KiB
Plaintext
450 lines
180 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "2dd1fa3f",
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"metadata": {},
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"outputs": [],
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"source": [
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"from easynn.feedforward import (\n",
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" Layer,\n",
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" ReLU,\n",
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" LeakyReLU,\n",
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" Regularization,\n",
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" Linear,\n",
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" FFNN,\n",
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" MSELoss,\n",
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" Softmax,\n",
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" CrossEntropyLoss,\n",
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")\n",
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"from easynn.schedulers import AdamScheduler\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from sklearn.datasets import make_regression, make_classification\n",
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"from sklearn.preprocessing import StandardScaler, OneHotEncoder\n",
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"from sklearn.model_selection import train_test_split\n",
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"from sklearn.metrics import mean_squared_error, accuracy_score\n",
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"import logging\n",
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"\n",
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"logging.basicConfig(level=logging.WARNING) # Set default logging level to WARNING"
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]
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},
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{
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"cell_type": "markdown",
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"id": "73649f28",
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"metadata": {},
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"source": [
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"# Regression Example"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "79c55021",
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"metadata": {},
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"outputs": [],
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"source": [
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"X, y = make_regression(n_samples=1000, n_features=5, n_informative=3, noise=0.1)\n",
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"X = StandardScaler().fit_transform(X)\n",
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"y = y.reshape(-1, 1)\n",
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"y = StandardScaler().fit_transform(y)\n",
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"X_train, X_test, y_train, y_test = train_test_split(X, y)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "8a88c060",
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"metadata": {},
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"outputs": [],
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"source": [
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"layers = [Layer(5, 5, ReLU()), Layer(5, 25, ReLU()), Layer(25, 1, Linear())]\n",
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"network = FFNN(layers, AdamScheduler(learning_rate=0.001, epochs=1000), MSELoss())\n",
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"network.fit(X_train, y_train)\n",
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"predictions = network.predict(X_test)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "515e1e02",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"Text(0.5, 1.0, 'Training Loss Over Time')"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(network.scheduler.loss_history - min(network.scheduler.loss_history) + 1e-8)\n",
|
|
"plt.yscale(\"log\")\n",
|
|
"plt.xlabel(\"Epoch\")\n",
|
|
"plt.ylabel(\"Loss\")\n",
|
|
"plt.title(\"Training Loss Over Time\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "1dd8fefc",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5, 1.0, 'True vs Predicted Values')"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"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(y_test, predictions)\n",
|
|
"plt.plot([y_test.min(), y_test.max()], [y_test.min(), y_test.max()], \"k--\", lw=2)\n",
|
|
"plt.xlabel(\"True Values\")\n",
|
|
"plt.ylabel(\"Predictions\")\n",
|
|
"plt.title(\"True vs Predicted Values\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "d3052118",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.0019756351174760136"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"mean_squared_error(y_test, predictions)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "ea3bd93f",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Classifier Example"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "fc9641f9",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"X, y = make_classification(n_samples=1000, n_features=5, n_informative=3, n_classes=2)\n",
|
|
"X = StandardScaler().fit_transform(X)\n",
|
|
"y = y.reshape(-1, 1)\n",
|
|
"y = OneHotEncoder(sparse_output=False).fit_transform(y)\n",
|
|
"X_train, X_test, y_train, y_test = train_test_split(X, y)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "00f52ecd",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"layers = [Layer(5, 10, ReLU()), Layer(10, 5, ReLU()), Layer(5, 2, Softmax())]\n",
|
|
"network = FFNN(\n",
|
|
" layers, AdamScheduler(learning_rate=0.001, epochs=1000), CrossEntropyLoss()\n",
|
|
")\n",
|
|
"network.fit(X_train, y_train)\n",
|
|
"predictions = network.predict(X_test)\n",
|
|
"single_class_predictions = OneHotEncoder(sparse_output=False).fit_transform(\n",
|
|
" np.argmax(predictions, axis=1).reshape(-1, 1)\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "a3e32a73",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.748"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"accuracy_score(y_test, single_class_predictions)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "1cec1615",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Runge Function"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "74212e01",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import pyoptim.optimizers as optimizers\n",
|
|
"import pyoptim.datamanip as datamanip\n",
|
|
"import pyoptim.plotting as plotting\n",
|
|
"\n",
|
|
"from sklearn.model_selection import train_test_split"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "9651d1c2",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"x = np.linspace(-1, 1, 100_000)\n",
|
|
"y = datamanip.noise_data(datamanip.runge_function(x), 1.0)\n",
|
|
"x_train, x_test, y_train, y_test = train_test_split(\n",
|
|
" x, y, test_size=0.2, random_state=datamanip.get_RNG().integers(0, 1e6)\n",
|
|
")\n",
|
|
"\n",
|
|
"x_train = x_train.reshape(-1, 1)\n",
|
|
"x_test = x_test.reshape(-1, 1)\n",
|
|
"y_train = y_train.reshape(-1, 1)\n",
|
|
"y_test = y_test.reshape(-1, 1)\n",
|
|
"\n",
|
|
"X_train_scaled, X_test_scaled = datamanip.scale_data(x_train, x_test)\n",
|
|
"y_train_scaled, y_test_scaled = datamanip.scale_data(y_train, y_test)\n",
|
|
"\n",
|
|
"\n",
|
|
"def get_regression_model(\n",
|
|
" n_hidden_layers: int, n_neurons: int, activation: type = LeakyReLU\n",
|
|
") -> list[Layer]:\n",
|
|
" feature_dim = 1\n",
|
|
" target_dim = 1\n",
|
|
" layers = []\n",
|
|
" layers.append(Layer(feature_dim, n_neurons, activation_function=activation()))\n",
|
|
" for _ in range(n_hidden_layers - 1):\n",
|
|
" layers.append(Layer(n_neurons, n_neurons, activation_function=activation()))\n",
|
|
" layers.append(Layer(n_neurons, target_dim, activation_function=Linear()))\n",
|
|
" return layers"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "ec000a54",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Hidden Layers: 1, Neurons: 50, Test MSE: 0.9177768024329133\n",
|
|
"Hidden Layers: 1, Neurons: 100, Test MSE: 0.9167870523476759\n",
|
|
"Hidden Layers: 2, Neurons: 50, Test MSE: 0.9136592028639727\n",
|
|
"Hidden Layers: 2, Neurons: 100, Test MSE: 0.9135554326148551\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"for n_hidden in [1, 2]:\n",
|
|
" for n_neurons in [50, 100]:\n",
|
|
" layers = get_regression_model(n_hidden, n_neurons)\n",
|
|
" network = FFNN(\n",
|
|
" layers,\n",
|
|
" AdamScheduler(learning_rate=0.001, epochs=1000),\n",
|
|
" MSELoss(),\n",
|
|
" )\n",
|
|
" network.fit(X_train_scaled, y_train_scaled)\n",
|
|
" y_pred = network.predict(X_test_scaled)\n",
|
|
" test_mse = mean_squared_error(y_test_scaled, y_pred)\n",
|
|
" print(f\"Hidden Layers: {n_hidden}, Neurons: {n_neurons}, Test MSE: {test_mse}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"id": "23e6f86c",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# No Noise case\n",
|
|
"x = np.linspace(-1, 1, 1000)\n",
|
|
"y = datamanip.runge_function(x)\n",
|
|
"x_train, x_test, y_train, y_test = train_test_split(\n",
|
|
" x, y, test_size=0.2, random_state=datamanip.get_RNG().integers(0, 1e6)\n",
|
|
")\n",
|
|
"\n",
|
|
"x_train = x_train.reshape(-1, 1)\n",
|
|
"x_test = x_test.reshape(-1, 1)\n",
|
|
"y_train = y_train.reshape(-1, 1)\n",
|
|
"y_test = y_test.reshape(-1, 1)\n",
|
|
"\n",
|
|
"X_train_scaled, X_test_scaled = datamanip.scale_data(x_train, x_test)\n",
|
|
"y_train_scaled, y_test_scaled = datamanip.scale_data(y_train, y_test)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"id": "63a37bc9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Hidden Layers: 1, Neurons: 50, Test MSE: 0.15527058910285813\n",
|
|
"Hidden Layers: 1, Neurons: 100, Test MSE: 0.10180048256207899\n",
|
|
"Hidden Layers: 2, Neurons: 50, Test MSE: 3.143921430819739e-05\n",
|
|
"Hidden Layers: 2, Neurons: 100, Test MSE: 1.0371793804978556e-05\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"for n_hidden in [1, 2]:\n",
|
|
" for n_neurons in [50, 100]:\n",
|
|
" layers = get_regression_model(n_hidden, n_neurons)\n",
|
|
" network = FFNN(\n",
|
|
" layers,\n",
|
|
" AdamScheduler(learning_rate=0.001, epochs=1000),\n",
|
|
" MSELoss(),\n",
|
|
" )\n",
|
|
" network.fit(X_train_scaled, y_train_scaled)\n",
|
|
" y_pred_nn = network.predict(X_test_scaled)\n",
|
|
" test_mse = mean_squared_error(y_test_scaled, y_pred_nn)\n",
|
|
" print(f\"Hidden Layers: {n_hidden}, Neurons: {n_neurons}, Test MSE: {test_mse}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"id": "9b568bde",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"OLS Test MSE: 0.019835005963678293\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"x_train = datamanip.polynomial_features(x_train.flatten(), p=10)\n",
|
|
"x_test = datamanip.polynomial_features(x_test.flatten(), p=10)\n",
|
|
"X_train_scaled, X_test_scaled = datamanip.scale_data(x_train, x_test)\n",
|
|
"\n",
|
|
"\n",
|
|
"beta = optimizers.Ridge_parameters(X_train_scaled, y_train_scaled, lam=1e-10)\n",
|
|
"y_pred = X_test_scaled @ beta\n",
|
|
"test_mse = mean_squared_error(y_test_scaled, y_pred)\n",
|
|
"print(f\"OLS Test MSE: {test_mse}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"id": "9db82101",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1350x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import plotting\n",
|
|
"\n",
|
|
"plt.scatter(x_test[:, 1], y_test_scaled, s=6, label=\"True Data\")\n",
|
|
"plt.scatter(x_test[:, 1], y_pred, s=6, label=\"OLS Prediction\")\n",
|
|
"plt.scatter(x_test[:, 1], y_pred_nn, s=6, label=\"NN Prediction\")\n",
|
|
"plt.legend()\n",
|
|
"plt.xlabel(\"$x$\")\n",
|
|
"plt.ylabel(r\"$y / \\sigma_y$\")\n",
|
|
"plt.savefig(\"runge_no_noise_comparison.pdf\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "79016960",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "project2",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.13.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|