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@m-alcu
Created October 6, 2019 09:48
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{
"cells": [
{
"cell_type": "code",
"execution_count": 172,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas\n",
"import os\n",
"import re\n",
"import time\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 173,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot\n",
"\n",
"from sklearn.preprocessing import MinMaxScaler\n",
"\n",
"from keras.models import Sequential\n",
"from keras.layers import Dense\n",
"from keras.layers import Input, LSTM\n",
"from keras.layers import Dropout\n",
"from keras.models import Model\n",
"import h5py"
]
},
{
"cell_type": "code",
"execution_count": 174,
"metadata": {},
"outputs": [],
"source": [
"batch_size = 64\n",
"epochs = 80\n",
"timesteps = 10 # number of steps from past to predict future steps\n",
"loss_func = 'mae'"
]
},
{
"cell_type": "code",
"execution_count": 175,
"metadata": {},
"outputs": [],
"source": [
"def get_train_length(dataset, batch_size, test_percent):\n",
" # rebuild using end of data not start\n",
" length = len(dataset)\n",
" print (\"input length: \", length)\n",
" length *= 1 - test_percent\n",
" print (\"length (*=1 - test_percent) \", length)\n",
" train_length_values = []\n",
" print(\"we search 100 last series (to lenght) which one is multiple of batch size\")\n",
" for x in range(int(length) - 100, int(length)):\n",
" modulo = x % batch_size\n",
" if(modulo == 0):\n",
" train_length_values.append(x)\n",
" return (max(train_length_values))"
]
},
{
"cell_type": "code",
"execution_count": 176,
"metadata": {},
"outputs": [],
"source": [
"def get_test_length(dataset, batch_size, train_length):\n",
" test_length_values = []\n",
" for x in range(len(dataset) - 200, len(dataset) - timesteps * 2): \n",
" modulo = (x - train_length) % batch_size\n",
" if(modulo == 0):\n",
" test_length_values.append(x)\n",
" return (max(test_length_values))"
]
},
{
"cell_type": "code",
"execution_count": 177,
"metadata": {},
"outputs": [],
"source": [
"def build_model(batch_size, timesteps):\n",
" # Initilize LSTM model with MAE Loss-Function\n",
" inputs = Input(batch_shape=(batch_size, timesteps, 1))\n",
" lstm_1 = LSTM(25, stateful=True, return_sequences=True)(inputs)\n",
" lstm_2 = LSTM(25, stateful=True, return_sequences=True)(lstm_1)\n",
" output = Dense(units=1)(lstm_2)\n",
"\n",
" regressor = Model(inputs=inputs, outputs=output)\n",
" regressor.compile(optimizer='adam', loss=loss_func)\n",
" regressor.summary()\n",
"\n",
" return regressor"
]
},
{
"cell_type": "code",
"execution_count": 178,
"metadata": {},
"outputs": [],
"source": [
"def get_input_output_data(dataset, length, timesteps):\n",
" # move data for input back = timesteps and output forward = timesteps\n",
" X, y = [], []\n",
" for i in range(timesteps, length + timesteps):\n",
" X.append(dataset[i - timesteps:i, 0])\n",
" y.append(dataset[i:i + timesteps, 0])\n",
"\n",
" return np.array(X), np.array(y)"
]
},
{
"cell_type": "code",
"execution_count": 179,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"original data length: 1275\n",
"input length: 1275\n",
"length (*=1 - test_percent) 892.5\n",
"we search 100 last series (to lenght) which one is multiple of batch size\n",
"train_length: 832\n"
]
}
],
"source": [
"# Download data from here 'https://fred.stlouisfed.org/series/DCOILBRENTEU' for desired interval\n",
"data = pandas.read_csv(\"./DCOILBRENTEU.csv\")\n",
"data = data[data.DCOILBRENTEU != '.']\n",
"print(\"original data length: \",len(data))\n",
"# set train and test lengths\n",
"train_length = get_train_length(data, batch_size, 0.3)\n",
"print (\"train_length: \",train_length)"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DATE object\n",
"DCOILBRENTEU object\n",
"dtype: object"
]
},
"execution_count": 180,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.dtypes"
]
},
{
"cell_type": "code",
"execution_count": 301,
"metadata": {},
"outputs": [],
"source": [
"sinus_input = [np.sin(2 * np.pi * i/20) for i in range(1275)]\n",
"index = [i for i in range(1250)]\n",
"\n",
"sinus_data = pandas.DataFrame(list(zip(index, sinus_input)), columns =['data', 'value']) "
]
},
{
"cell_type": "code",
"execution_count": 302,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>data</th>\n",
" <th>value</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1</td>\n",
" <td>0.309017</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2</td>\n",
" <td>0.587785</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>3</td>\n",
" <td>0.809017</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>4</td>\n",
" <td>0.951057</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" data value\n",
"0 0 0.000000\n",
"1 1 0.309017\n",
"2 2 0.587785\n",
"3 3 0.809017\n",
"4 4 0.951057"
]
},
"execution_count": 302,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sinus_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 304,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1a3c9d6240>]"
]
},
"execution_count": 304,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(sinus_data.iloc[:,1:2].values.astype('float32'))"
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {},
"outputs": [],
"source": [
"#data.plot(kind='line',x='DATE',y='DCOILBRENTEU',color='red')\n",
"#plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 305,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"timesteps (to predict): 10 upper train (train+2*t): 852\n",
"test length: 320 total length: 1275\n"
]
}
],
"source": [
"# Adding timesteps\n",
"upper_train = train_length + timesteps * 2\n",
"\n",
"print(\"timesteps (to predict): \", timesteps, \"upper train (train+2*t): \",upper_train)\n",
"\n",
"test_length = get_test_length(sinus_data, batch_size, upper_train)\n",
"upper_test = test_length + timesteps * 2\n",
"testset_length = test_length - upper_train\n",
"print(\"test length: \", testset_length, \"total length: \", len(data))"
]
},
{
"cell_type": "code",
"execution_count": 306,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dataset data_train (from 0 to upper_train (includes 20 t): (852, 2)\n",
"numpy training_set contains their values (852, 1)\n"
]
}
],
"source": [
"#set train and test datasets\n",
"data_train = sinus_data[0:upper_train]\n",
"print(\"dataset data_train (from 0 to upper_train (includes 20 t): \", data_train.shape)\n",
"training_set = data_train.iloc[:,1:2].values\n",
"print (\"numpy training_set contains their values\", training_set.shape)"
]
},
{
"cell_type": "code",
"execution_count": 307,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pandas data_test (from upper train to upper test): (340, 2)\n",
"numpy test_set (from upper train to upper test): (340, 1)\n"
]
}
],
"source": [
"data_test = sinus_data[upper_train:upper_test]\n",
"print(\"pandas data_test (from upper train to upper test): \", data_test.shape)\n",
"test_set = data_test.iloc[:,1:2].values.astype('float32')\n",
"print(\"numpy test_set (from upper train to upper test): \", test_set.shape)"
]
},
{
"cell_type": "code",
"execution_count": 308,
"metadata": {},
"outputs": [],
"source": [
"#Feature scaling\n",
"scaler = MinMaxScaler(feature_range=(0, 1))\n",
"training_set_scaled = scaler.fit_transform(np.float64(training_set))\n",
"test_set_scaled = scaler.fit_transform(np.float64(test_set))"
]
},
{
"cell_type": "code",
"execution_count": 309,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(12, 5))\n",
"axes[0].plot(np.float64(training_set))\n",
"axes[1].plot(np.float64(test_set))\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 310,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train_length: 832\n"
]
}
],
"source": [
"print(\"train_length: \", train_length)"
]
},
{
"cell_type": "code",
"execution_count": 311,
"metadata": {},
"outputs": [],
"source": [
"X_train, y_train = get_input_output_data(training_set_scaled, train_length, timesteps)"
]
},
{
"cell_type": "code",
"execution_count": 312,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(832, 10)"
]
},
"execution_count": 312,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_train.shape"
]
},
{
"cell_type": "code",
"execution_count": 313,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(832, 10)"
]
},
"execution_count": 313,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_train.shape"
]
},
{
"cell_type": "code",
"execution_count": 314,
"metadata": {},
"outputs": [],
"source": [
"X_test, unused_y_test = get_input_output_data(test_set_scaled, testset_length, timesteps)"
]
},
{
"cell_type": "code",
"execution_count": 315,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(320, 10)"
]
},
"execution_count": 315,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_test.shape"
]
},
{
"cell_type": "code",
"execution_count": 316,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(320, 10)"
]
},
"execution_count": 316,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unused_y_test.shape"
]
},
{
"cell_type": "code",
"execution_count": 317,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: \"model_3\"\n",
"_________________________________________________________________\n",
"Layer (type) Output Shape Param # \n",
"=================================================================\n",
"input_3 (InputLayer) (64, 10, 1) 0 \n",
"_________________________________________________________________\n",
"lstm_5 (LSTM) (64, 10, 25) 2700 \n",
"_________________________________________________________________\n",
"lstm_6 (LSTM) (64, 10, 25) 5100 \n",
"_________________________________________________________________\n",
"dense_3 (Dense) (64, 10, 1) 26 \n",
"=================================================================\n",
"Total params: 7,826\n",
"Trainable params: 7,826\n",
"Non-trainable params: 0\n",
"_________________________________________________________________\n"
]
}
],
"source": [
"# Reshape data\n",
"\n",
"X_train = np.reshape(X_train, (X_train.shape[0], X_train.shape[1], 1))\n",
"y_train = np.reshape(y_train, (y_train.shape[0], y_train.shape[1], 1))\n",
"\n",
"X_test = np.reshape(X_test, (X_test.shape[0], X_test.shape[1], 1))\n",
"\n",
"model = build_model(batch_size, timesteps)"
]
},
{
"cell_type": "code",
"execution_count": 318,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 2s 2ms/step - loss: 0.4482\n",
"2 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 214us/step - loss: 0.3661\n",
"3 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 210us/step - loss: 0.3290\n",
"4 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 217us/step - loss: 0.2939\n",
"5 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 220us/step - loss: 0.2626\n",
"6 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 232us/step - loss: 0.2489\n",
"7 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 234us/step - loss: 0.2253\n",
"8 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 210us/step - loss: 0.1935\n",
"9 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 228us/step - loss: 0.1833\n",
"10 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 237us/step - loss: 0.1981\n",
"11 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 220us/step - loss: 0.1841\n",
"12 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 213us/step - loss: 0.1654\n",
"13 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 213us/step - loss: 0.1523\n",
"14 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 214us/step - loss: 0.1487\n",
"15 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 214us/step - loss: 0.1403\n",
"16 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 215us/step - loss: 0.1332\n",
"17 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 224us/step - loss: 0.1278\n",
"18 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 229us/step - loss: 0.1222\n",
"19 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 225us/step - loss: 0.1159\n",
"20 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 228us/step - loss: 0.1099\n",
"21 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 228us/step - loss: 0.1055\n",
"22 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 237us/step - loss: 0.0986\n",
"23 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 234us/step - loss: 0.0915\n",
"24 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 238us/step - loss: 0.0823\n",
"25 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 250us/step - loss: 0.0737\n",
"26 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 230us/step - loss: 0.0598\n",
"27 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 229us/step - loss: 0.0514\n",
"28 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 227us/step - loss: 0.0467\n",
"29 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 224us/step - loss: 0.0423\n",
"30 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 222us/step - loss: 0.0376\n",
"31 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 207us/step - loss: 0.0359\n",
"32 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 217us/step - loss: 0.0394\n",
"33 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0464\n",
"34 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 225us/step - loss: 0.0464\n",
"35 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 228us/step - loss: 0.0343\n",
"36 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 227us/step - loss: 0.0304\n",
"37 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 216us/step - loss: 0.0300\n",
"38 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 211us/step - loss: 0.0282\n",
"39 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 231us/step - loss: 0.0268\n",
"40 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 220us/step - loss: 0.0258\n",
"41 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 227us/step - loss: 0.0251\n",
"42 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 224us/step - loss: 0.0232\n",
"43 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 218us/step - loss: 0.0233\n",
"44 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 227us/step - loss: 0.0222\n",
"45 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0213\n",
"46 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 245us/step - loss: 0.0208\n",
"47 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 217us/step - loss: 0.0204\n",
"48 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0210\n",
"49 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0233\n",
"50 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0278\n",
"51 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 240us/step - loss: 0.0292\n",
"52 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 222us/step - loss: 0.0253\n",
"53 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 226us/step - loss: 0.0263\n",
"54 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 242us/step - loss: 0.0175\n",
"55 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 229us/step - loss: 0.0182\n",
"56 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 230us/step - loss: 0.0181\n",
"57 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 234us/step - loss: 0.0176\n",
"58 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 231us/step - loss: 0.0183\n",
"59 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0181\n",
"60 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 220us/step - loss: 0.0177\n",
"61 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 209us/step - loss: 0.0175\n",
"62 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 209us/step - loss: 0.0176\n",
"63 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 222us/step - loss: 0.0166\n",
"64 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 209us/step - loss: 0.0170\n",
"65 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 216us/step - loss: 0.0167\n",
"66 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 219us/step - loss: 0.0167\n",
"67 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 218us/step - loss: 0.0146\n",
"68 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 214us/step - loss: 0.0165\n",
"69 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 206us/step - loss: 0.0163\n",
"70 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 215us/step - loss: 0.0142\n",
"71 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 220us/step - loss: 0.0167\n",
"72 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 223us/step - loss: 0.0151\n",
"73 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 227us/step - loss: 0.0199\n",
"74 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 226us/step - loss: 0.0190\n",
"75 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 227us/step - loss: 0.0177\n",
"76 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0182\n",
"77 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 217us/step - loss: 0.0160\n",
"78 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 220us/step - loss: 0.0124\n",
"79 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 221us/step - loss: 0.0127\n",
"80 Epoch\n",
"Epoch 1/1\n",
"832/832 [==============================] - 0s 222us/step - loss: 0.0142\n"
]
}
],
"source": [
"# Train model\n",
"\n",
"for i in range(epochs):\n",
" print(i + 1 ,\" Epoch\")\n",
" model.fit(X_train, y_train, shuffle=False, epochs=1, batch_size=batch_size)\n",
" model.reset_states()"
]
},
{
"cell_type": "code",
"execution_count": 319,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(320, 10, 1)\n"
]
}
],
"source": [
"# predict \n",
"predicted_data = model.predict(X_test, batch_size=batch_size)\n",
"model.reset_states()\n",
"print(predicted_data.shape)"
]
},
{
"cell_type": "code",
"execution_count": 320,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(320, 10)\n"
]
}
],
"source": [
"# reshaping predicted\n",
"predicted_data = np.reshape(predicted_data, (predicted_data.shape[0], predicted_data.shape[1]))\n",
"print(predicted_data.shape)"
]
},
{
"cell_type": "code",
"execution_count": 321,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0.20610738],\n",
" [0.0954915 ],\n",
" [0.02447173],\n",
" [0. ],\n",
" [0.02447173],\n",
" [0.0954915 ],\n",
" [0.20610738],\n",
" [0.3454915 ],\n",
" [0.5 ],\n",
" [0.6545085 ]])"
]
},
"execution_count": 321,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_test[0]"
]
},
{
"cell_type": "code",
"execution_count": 322,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.35136732, 0.58498394, 0.78974324, 0.92178595, 0.96348846,\n",
" 0.9231621 , 0.819332 , 0.6715497 , 0.49971896, 0.32937214],\n",
" dtype=float32)"
]
},
"execution_count": 322,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predicted_data[0]"
]
},
{
"cell_type": "code",
"execution_count": 323,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x144 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(12, 2))\n",
"axes[0].plot(X_test[0])\n",
"axes[1].plot(predicted_data[0])\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 324,
"metadata": {},
"outputs": [],
"source": [
"# creating y_test data (concatenate results)\n",
"y_test = []\n",
"for j in range(0, len(predicted_data)):\n",
" y_test = np.append(y_test, predicted_data[j, timesteps - 1])"
]
},
{
"cell_type": "code",
"execution_count": 325,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x144 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(12, 2))\n",
"axes[0].plot(test_set)\n",
"axes[1].plot(y_test)\n",
"fig.tight_layout()\n",
"\n",
"#deberia predecir 10 sesiones anticipadas pero esta prediciendo exactamente la sesion actual"
]
},
{
"cell_type": "code",
"execution_count": 326,
"metadata": {},
"outputs": [],
"source": [
"# reshaping\n",
"y_test = np.reshape(y_test, (y_test.shape[0], 1))"
]
},
{
"cell_type": "code",
"execution_count": 330,
"metadata": {},
"outputs": [],
"source": [
"show_y_test = np.reshape(y_test, (y_test.shape[0],))\n",
"show_test_dataset = sinus_data[upper_train + timesteps:].iloc[:,1:2].values.astype('float32')"
]
},
{
"cell_type": "code",
"execution_count": 331,
"metadata": {},
"outputs": [],
"source": [
"X_test_show = np.reshape(X_test, (X_test.shape[0], X_test.shape[1]))\n",
"X_test_show = scaler.inverse_transform(X_test_show)\n",
"# Rebuild actual X_test data to see the difference\n",
"X_test_c = []\n",
"for j in range(0, len(X_test_show)):\n",
" X_test_c = np.append(X_test_c, X_test_show[j, timesteps - 1])"
]
},
{
"cell_type": "code",
"execution_count": 337,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pyplot.plot(show_test_dataset , color = 'green', label = 'Dataset Prices')\n",
"pyplot.plot(X_test_c, color = 'brown', label = 'X test')\n",
"pyplot.plot(show_y_test, color = 'red', label = 'Predicted Crude Oil Prices')\n",
"pyplot.title('Crude Oil Prices Prediction - MAE')\n",
"pyplot.xlabel('Time')\n",
"pyplot.ylabel('Crude Oil Prices')\n",
"pyplot.legend()\n",
"pyplot.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"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": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@hunnder
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hunnder commented Oct 25, 2023

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