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@johnhw
Created March 8, 2019 17:05
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{
"cells": [
{
"cell_type": "code",
"execution_count": 280,
"metadata": {},
"outputs": [],
"source": [
"from __future__ import print_function, division\n",
"import numpy as np\n",
"import matplotlib as mpl\n",
"import os\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 281,
"metadata": {},
"outputs": [],
"source": [
"os.environ[\"KERAS_BACKEND\"] = \"tensorflow\""
]
},
{
"cell_type": "code",
"execution_count": 282,
"metadata": {},
"outputs": [],
"source": [
"from keras.models import Sequential, Model\n",
"from keras.layers import Dense, Dropout, Input\n",
"from keras.wrappers.scikit_learn import KerasRegressor\n",
"from sklearn.model_selection import cross_val_score\n",
"from sklearn.model_selection import KFold\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.pipeline import Pipeline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Test of dropout for sampling for predictions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Some random data\n",
"1D regression, of a cosine with some noise, irregularly sampled."
]
},
{
"cell_type": "code",
"execution_count": 283,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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2Ant7i19P8sXlFD1k1zHn/zGmrLNba6HOtVAjjGGdr5v4xjdveOObt2bDNdfWpYuvXPra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\nTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(2113)\n",
"x = np.random.normal(0,1,(15))\n",
"y = np.cos(x) + np.random.normal(0,0.2*x**2,x.shape)\n",
"\n",
"def draw_data():\n",
" plt.scatter(x,y)\n",
" plt.xlim(-2,2)\n",
" plt.ylim(0, 1.2)\n",
" \n",
"draw_data()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Baseline for comparison: A GP fit (sqr. exp)"
]
},
{
"cell_type": "code",
"execution_count": 284,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.gaussian_process import GaussianProcessRegressor\n",
"from sklearn.gaussian_process.kernels import RBF, WhiteKernel"
]
},
{
"cell_type": "code",
"execution_count": 285,
"metadata": {},
"outputs": [],
"source": [
"# plain RBF kernel with some noise\n",
"kernel = 1.0 * RBF(length_scale=10) \n",
"X = x[:, None]\n",
"gp = GaussianProcessRegressor(kernel=kernel, alpha=0.1).fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 286,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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2yl8k+o4tMv3+UE59yjP51lNd9I6H+OTVW/Dl+PF8LiLQVleG26EtjleUA/fB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\nXymlSoQGfKWUKhEa8JVSqkT8//3fzZa+VnC6AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xs = np.linspace(-2, 2, 100)\n",
"y_mean, y_std = gp.predict(xs[:, None], return_std=True)\n",
"plt.fill_between(xs, y_mean-y_std, y_mean+y_std, alpha=0.2)\n",
"plt.plot(xs, y_mean)\n",
"draw_data()"
]
},
{
"cell_type": "code",
"execution_count": 287,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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lW063nS50U7jKiMKKSVwXOhm0h/CZPPVP+MniVPBPAF4OaUelymdBiIHKV3S+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\nEUNZ1VfSrz8GxNd9jTGG8+k5P3zyw7w9f1sG1O2eqpPBPhofWdkM4nK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xjS90YyEfwXVZ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\nYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gp_samples = gp.sample_y(xs[:, None], 200) \n",
"for sample in gp_samples.T: \n",
" plt.plot(xs, sample, alpha=0.05, color='C2')\n",
"draw_data()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Keras model\n",
"Dropout, with `selu` layers"
]
},
{
"cell_type": "code",
"execution_count": 288,
"metadata": {},
"outputs": [],
"source": [
"# 3 layer selu\n",
"n_layers = 3\n",
"n_units = 30\n",
"dropout = 0.1\n",
"\n",
"def baseline_model():\n",
" inputs = Input(shape=(1,)) \n",
" for i in range(n_layers): \n",
" layer = Dense(n_units, activation='selu')(inputs)\n",
" layer = Dropout(dropout)(layer, training=True) \n",
" outputs = Dense(1, activation='linear')(layer) \n",
" model = Model(inputs, outputs)\n",
" model.compile(loss='mean_squared_error', optimizer='adam')\n",
" model.summary()\n",
" return model\n",
"\n",
"np.random.seed(2019)\n",
"dropout_regressor = KerasRegressor(build_fn=baseline_model, epochs=1000, batch_size=10, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 289,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"_________________________________________________________________\n",
"Layer (type) Output Shape Param # \n",
"=================================================================\n",
"input_60 (InputLayer) (None, 1) 0 \n",
"_________________________________________________________________\n",
"dense_193 (Dense) (None, 30) 60 \n",
"_________________________________________________________________\n",
"dropout_118 (Dropout) (None, 30) 0 \n",
"_________________________________________________________________\n",
"dense_194 (Dense) (None, 1) 31 \n",
"=================================================================\n",
"Total params: 91\n",
"Trainable params: 91\n",
"Non-trainable params: 0\n",
"_________________________________________________________________\n"
]
},
{
"data": {
"text/plain": [
"<keras.callbacks.History at 0x1fb0f3e1e80>"
]
},
"execution_count": 289,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dropout_regressor.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"dropout_samples = [dropout_regressor.predict(xs[:, None]) for i in range(len(gp_samples.T))]\n",
"\n",
"for sample in dropout_samples: \n",
" plt.plot(xs, sample, alpha=0.05, color='C2')\n",
"draw_data()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"y_mean = np.mean(dropout_samples, axis=0)\n",
"y_std = np.std(dropout_samples, axis=0)\n",
"plt.plot(xs, y_mean)\n",
"plt.fill_between(xs, y_mean-y_std, y_mean+y_std, alpha=0.2)\n",
"draw_data()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
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