{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 5.1 Recurrent Neural Networks" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "!wget -nc --no-cache -O init.py -q https://raw.githubusercontent.com/rramosp/2021.deeplearning/main/content/init.py\n", "import init; init.init(force_download=False); " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import sys\n", "if 'google.colab' in sys.modules:\n", " print (\"setting tensorflow version in colab\")\n", " %tensorflow_version 2.x\n", "import tensorflow as tf\n", "tf.__version__" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.core.display import display, HTML\n", "display(HTML(\"\"))" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recurrent Neural Networks (RNN) are a family of neural networks designed to process sequential data. This type of networks are specially suitable for problems where every sample is a sequence of objects (values) with statistical dependence among them." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 14, "metadata": { "image/png": { "width": 700 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='local/imgs/RNN2.png', width=700)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "RNNs can be designed to solve different learning paradigms, in other words, they are able to adapt to different data configurations." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "execution_count": 10, "metadata": { "image/jpeg": { "width": 1200 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='local/imgs/RNN-Topol.jpeg', width=1200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Image taken from Andrej Karpathy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Examples:\n", "\n", "- 1. Conventional MLP\n", "- 2. Caption generation\n", "- 3. Sentiment analysis\n", "- 4. Language translation\n", "- 5. Named Entity Recognition or Part Of Speech Tagging\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lets do some examples of Time series using conventional MLPs\n", "\n", "First we need some data:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings('ignore')\n", "from tensorflow.keras.models import Sequential\n", "from tensorflow.keras.layers import Dense, Dropout, SimpleRNN, RepeatVector, TimeDistributed, LSTM\n", "from tensorflow import keras\n", "from local.lib import DataPreparationRNN\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from local.lib.DataPreparationRNN import split_sequence\n", "from sklearn.preprocessing import MinMaxScaler\n", "\n", "datasetO = pd.read_csv('local/data/international-airline-passengers.csv', usecols=[1], engine='python', skipfooter=3)\n", "dataset = datasetO.values\n", "dataset = dataset.astype('float32')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "144" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(dataset)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For simplicity we are going to split the data manualy into training and validation sets using the classical approach " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train [[[0.02588999]\n", " [0.04530746]]\n", "\n", " [[0.04530746]\n", " [0.09061491]]\n", "\n", " [[0.09061491]\n", " [0.08090615]]\n", "\n", " [[0.08090615]\n", " [0.05501619]]\n", "\n", " [[0.05501619]\n", " [0.10032365]]\n", "\n", " [[0.10032365]\n", " [0.14239484]]\n", "\n", " [[0.14239484]\n", " [0.14239484]]\n", "\n", " [[0.14239484]\n", " [0.10355988]]\n", "\n", " [[0.10355988]\n", " [0.04854369]]\n", "\n", " [[0.04854369]\n", " [0. ]]]\n", "Test [[0.09061491]\n", " [0.08090615]\n", " [0.05501619]\n", " [0.10032365]\n", " [0.14239484]\n", " [0.14239484]\n", " [0.10355988]\n", " [0.04854369]\n", " [0. ]\n", " [0.04530746]]\n" ] } ], "source": [ "look_back=2\n", "# split into train and test sets\n", "train_size = int(len(dataset) * 0.67)\n", "test_size = len(dataset) - train_size\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "\n", "#tensor formating\n", "\n", "X_train, y_train = split_sequence(trainN, look_back)\n", "X_test, y_test = split_sequence(testN, look_back)\n", "print('Train',X_train[:10])\n", "print('Test',y_train[:10])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((94, 2, 1), (94, 1))" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train.shape, y_train.shape" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(46, 2, 1)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_test.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's create the MLP." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_1\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_2 (Dense) (None, 5) 15 \n", "_________________________________________________________________\n", "dense_3 (Dense) (None, 1) 6 \n", "=================================================================\n", "Total params: 21\n", "Trainable params: 21\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "#keras.backend.clear_session()\n", "model1 = Sequential()\n", "model1.add(Dense(5,activation = 'relu',input_dim=look_back))\n", "model1.add(Dense(1))\n", "model1.summary()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 28.23 RMSE\n", "Test Score: 61.99 RMSE\n", "Train Score: 10.23 MAPE\n", "Test Score: 12.50 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model1.compile(optimizer='adam',loss='mse')\n", "model1.fit(X_train.reshape(X_train.shape[0],look_back),y_train.flatten(),epochs=200, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE(model1,X_train,X_test,y_train,y_test,scaler,look_back)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using three steps backward to predict one step ahead:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 23.14 RMSE\n", "Test Score: 50.44 RMSE\n", "Train Score: 8.56 MAPE\n", "Test Score: 10.10 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "look_back = 3;\n", "X_train, y_train = split_sequence(trainN, look_back)\n", "X_test, y_test = split_sequence(testN, look_back)\n", "\n", "#Model\n", "model3 = Sequential()\n", "model3.add(Dense(5,activation = 'relu',input_dim=look_back))\n", "model3.add(Dense(1))\n", "model3.compile(optimizer='adam',loss='mse')\n", "model3.fit(X_train.reshape(X_train.shape[0],look_back),y_train.flatten(),epochs=200, verbose=0)\n", "\n", "#Validation\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE(model3,X_train,X_test,y_train,y_test,scaler,look_back)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 0.42 RMSE\n", "Test Score: 0.48 RMSE\n", "Train Score: 0.99 MAPE\n", "Test Score: 0.85 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "look_back=3\n", "dataset1 = pd.read_csv('local/data/KO_2006-01-01_to_2018-01-01.csv', usecols=['High'])\n", "dataset1[np.isnan(dataset1)] = dataset1['High'].max()\n", "dataset = dataset1.values\n", "dataset = dataset.astype('float32')\n", "\n", "# split into train and test sets\n", "test_size = 600\n", "train_size = int(len(dataset) - test_size)\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "X_train, y_train = split_sequence(trainN, look_back)\n", "X_test, y_test = split_sequence(testN, look_back)\n", "#------------------------------------------------------------------\n", "keras.backend.clear_session()\n", "model3b = Sequential()\n", "model3b.add(Dense(30,activation = 'relu',input_dim=look_back))\n", "model3b.add(Dense(1))\n", "model3b.compile(optimizer='adam',loss='mse')\n", "model3b.fit(X_train.reshape(X_train.shape[0],look_back),y_train.flatten(),epochs=50, verbose=0)\n", "\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE(model3b,X_train,X_test,y_train,y_test,scaler,look_back)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(scaler.inverse_transform(y_test),'b',label='Real KO Stock Price')\n", "plt.plot(testPredict,'g',label='Predicted KO Stock Price')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are also problems with basic MLP when we have multiple time series to forecast one of them (**Multiple Input series**), or multiple time series to predict all of them (**Multiple parallel series**)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Let's define formaly the Recurrent Neural Networks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An alternative view of the network " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 19, "metadata": { "image/png": { "width": 1200 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='local/imgs/RNN3.png', width=1200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to the notation in the in the former Figure, the mathematical formulation of an Elman RNN with one hidden layer and one output layer is given by:\n", "\n", "$${\\bf{a}}^{(t)} = {\\bf{b}} + {\\bf{V}}{\\bf{h}}^{(t-1)} + {\\bf{U}}{\\bf{x}}^{(t)},\\\\ {\\bf{h}}^{(t)} = \\tanh({\\bf{a}}^{(t)}), \\\\ {\\bf{o}}^{(t)} = {\\bf{c}} + {\\bf{W}}{\\bf{h}}^{(t)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where $\\bf{V}$ is the weights matrix of the feedback loop. $\\bf{U}$ is the weights matrix of the inputs and $\\bf{W}$ is the weights matrix that contects the **state** of the network with the output layer. $\\bf{b}$ and $\\bf{c}$ are the bias vectors for the hidden and output layers respectively. The ouput of the network ${\\bf{y}}^{(t)}$ corresponds to the application of the activation function to the values ${\\bf{o}}^{(t)}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backpropagation through time (BPTT)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step for training a RNN is to define the loss function. Let's consider a sequence of length $\\tau$, the loss for that single sequence can be expressed as: " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$L(\\{ {\\bf{y}}^{(1)},{\\bf{y}}^{(2)},\\cdots,{\\bf{y}}^{(\\tau)} \\}, \\{ {\\bf{\\hat{y}}}^{(1)},{\\bf{\\hat{y}}}^{(2)},\\cdots,{\\bf{\\hat{y}}}^{(\\tau)} \\}) \\\\\n", "L = \\sum_t L^{(t)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If for instance the loss function for output $i$ is $L^{(t)} = -\\log \\hat{y}_i^{(t)}$, then" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$(\\nabla_{{\\bf{o}}^{(t)}}L)_i = \\frac{\\partial L}{\\partial o_i^{(t)}} = \\frac{\\partial L}{\\partial L^{(t)}} \\frac{\\partial L^{(t)}}{\\partial \\hat{y}_i^{(t)}} \\frac{\\partial \\hat{y}_i^{(t)}}{\\partial o_i^{(t)}} = \\hat{y}_i^{(t)} - 1 \\\\ \\nabla_{{\\bf{o}}^{(t)}}L = {\\bf{y}}^{(t)} \\odot ({\\bf{\\hat{y}}}^{(t)} - {\\bf{1}} )$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where $\\odot$ is the Hadamard product. When $t=\\tau$, ${\\bf{h}}^{(\\tau)}$ only has ${\\bf{o}}^{(\\tau)}$ as descendent, so its gradient is simple:\n", "\n", "$$ \\nabla_{{\\bf{h}}^{(\\tau)}} L = {\\bf{W}}^T\\nabla_{{\\bf{o}}^{(\\tau)}}L$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From this two results we can iterate backward in time to back-propagate gradients through time. From $t=\\tau-1$ down to $\\tau = 1$, ${\\bf{h}}^{(t)}$ has two descendents: ${\\bf{h}}^{(t+1)}$ and ${\\bf{o}}^{(t)}$, therefore its gradient is given by: " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ \\nabla_{{\\bf{h}}^{(t)}}L = \\left( \\frac{\\partial {\\bf{h}}^{(t+1)}}{\\partial {\\bf{h}}^{(t)}}\\right)^T(\\nabla_{{\\bf{h}}^{(t+1)}} L) + \\left(\\frac{\\partial {\\bf{o}}^{(t)}}{\\partial {\\bf{h}}^{(t)}}\\right)^T(\\nabla_{{\\bf{o}}^{(t)}}L) \\\\\n", "\\nabla_{{\\bf{h}}^{(t)}}L = {\\bf{V}}^T\\text{diag} \\left( 1 - \\left( {\\bf{h}}^{(t+1)} \\right)^2\\right)(\\nabla_{{\\bf{h}}^{(t+1)}} L) + {\\bf{W}}^T(\\nabla_{{\\bf{o}}^{(t)}}L)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the former results, the rest of the gradients can be calculated as:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ \\nabla_{\\bf{c}} L = \\sum_t \\left(\\frac{\\partial {\\bf{o}}^{(t)}}{\\partial {\\bf{c}}}\\right)^T \\nabla_{{\\bf{o}}^{(t)}}L$$\n", "\n", "$$ \\nabla_{\\bf{b}} L = \\sum_t \\left(\\frac{\\partial {\\bf{h}}^{(t)}}{\\partial {\\bf{b}}}\\right)^T \\nabla_{{\\bf{h}}^{(t)}}L = \\sum_t \\text{diag}\\left( 1 - \\left( {\\bf{h}}^{(t)} \\right)^2\\right)\\nabla_{{\\bf{h}}^{(t)}} L $$\n", "\n", "$$\\nabla_{{\\bf W}}L = \\sum_t \\sum_i \\left( \\frac{\\partial L}{\\partial o_i^{(t)}} \\right)^T \\nabla_{{\\bf W}} o_i^{(t)} = \\sum_t (\\nabla_{{\\bf{o}}^{(t)}}L){\\bf{h}}^{(t)^T}$$\n", "\n", "$$\\nabla_{\\bf V}L = \\sum_t \\text{diag}\\left( 1 - \\left( {\\bf{h}}^{(t)} \\right)^2\\right)(\\nabla_{{\\bf{h}}^{(t)}} L){\\bf{h}}^{(t-1)^T}$$\n", "\n", "$$ \\nabla_{\\bf U}L = \\sum_t \\text{diag}\\left( 1 - \\left( {\\bf{h}}^{(t)} \\right)^2\\right)(\\nabla_{{\\bf{h}}^{(t)}} L){\\bf{x}}^{(t)^T} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now using a RNN layer instead of a Dense layer:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Input data must have the following structure: **[n_samples,n_times,n_features]**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Input: **[n_samples,1,1]**" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "look_back = 1;\n", "dataset = datasetO.values\n", "dataset = dataset.astype('float32')\n", "\n", "# split into train and test sets\n", "train_size = int(len(dataset) * 0.67)\n", "test_size = len(dataset) - train_size\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, look_back)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, look_back)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(95, 1)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train.shape" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 22.88 RMSE\n", "Test Score: 48.72 RMSE\n", "Train Score: 8.51 MAPE\n", "Test Score: 9.78 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model4 = Sequential()\n", "model4.add(SimpleRNN(5,activation = 'relu',input_shape=(1,look_back)))\n", "model4.add(Dense(1))\n", "\n", "model4.compile(optimizer='adam',loss='mse')\n", "model4.fit(X_train.reshape(X_train.shape[0],1,look_back),y_train.flatten(),epochs=500, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model4,X_train,X_test,y_train,y_test,scaler,look_back,1)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_4\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "simple_rnn_2 (SimpleRNN) (None, 5) 35 \n", "_________________________________________________________________\n", "dense_6 (Dense) (None, 1) 6 \n", "=================================================================\n", "Total params: 41\n", "Trainable params: 41\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model4.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using multiple times as features" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Input: **[n_samples,1,2]**" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 26.23 RMSE\n", "Test Score: 53.59 RMSE\n", "Train Score: 9.60 MAPE\n", "Test Score: 10.65 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "look_back = 2;\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, look_back)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, look_back)\n", "#-----------------------------------------------------------------\n", "model4b = Sequential()\n", "model4b.add(SimpleRNN(5,activation = 'relu',input_shape=(1,look_back)))\n", "model4b.add(Dense(1))\n", "#-------------------------------------------------------------------\n", "\n", "model4b.compile(optimizer='adam',loss='mse')\n", "model4b.fit(X_train.reshape(X_train.shape[0],1,look_back),y_train.flatten(),epochs=500, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model4b,X_train,X_test,y_train,y_test,scaler,look_back,1)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_2\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "simple_rnn_1 (SimpleRNN) (None, 5) 40 \n", "_________________________________________________________________\n", "dense_3 (Dense) (None, 1) 6 \n", "=================================================================\n", "Total params: 46\n", "Trainable params: 46\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model4b.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using multiple times instead of multiple features:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using multiple times as multiple times!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Input: **[n_samples,2,1]**" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 21.17 RMSE\n", "Test Score: 51.46 RMSE\n", "Train Score: 8.26 MAPE\n", "Test Score: 9.29 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_steps = 2;\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, n_steps)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, n_steps)\n", "#---------------------------------------------------------------------\n", "model6 = Sequential()\n", "model6.add(SimpleRNN(5,activation = 'relu',input_shape=(n_steps,1)))\n", "model6.add(Dense(1))\n", "#---------------------------------------------------------------------\n", "model6.compile(optimizer='adam',loss='mse')\n", "model6.fit(X_train.reshape(X_train.shape[0],n_steps,1),y_train.flatten(),epochs=500, verbose=0)\n", "#-----------------------------------------------------------------------------------------------------\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model6,X_train,X_test,y_train,y_test,scaler,1,n_steps)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,n_steps)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_8\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "simple_rnn_7 (SimpleRNN) (None, 5) 35 \n", "_________________________________________________________________\n", "dense_9 (Dense) (None, 1) 6 \n", "=================================================================\n", "Total params: 41\n", "Trainable params: 41\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model6.summary()" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 0.31 RMSE\n", "Test Score: 0.35 RMSE\n", "Train Score: 0.70 MAPE\n", "Test Score: 0.59 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_steps = 3;\n", "dataset = dataset1.values\n", "dataset = dataset.astype('float32')\n", "\n", "# split into train and test sets\n", "test_size = 600\n", "train_size = int(len(dataset) - test_size)\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, n_steps)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, n_steps)\n", "#---------------------------------------------------------------------\n", "model6 = Sequential()\n", "model6.add(SimpleRNN(30,activation = 'relu',input_shape=(n_steps,1)))\n", "model6.add(Dense(1))\n", "model6.compile(optimizer='adam',loss='mse')\n", "#-----------------------------------------------------------------------\n", "model6.fit(X_train.reshape(X_train.shape[0],n_steps,1),y_train.flatten(),verbose=0,epochs=50,batch_size=32)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model6,X_train,X_test,y_train,y_test,scaler,1,n_steps)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,n_steps)" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(scaler.inverse_transform(y_test[:, np.newaxis]),'b',label='Real KO Stock Price')\n", "plt.plot(testPredict.flatten(),'g',label='Predicted KO Stock Price')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lets make more complex architectures\n", "### Two recurrent layers:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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\n", "text/plain": [ "" ] }, "execution_count": 38, "metadata": { "image/jpeg": { "width": 800 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='local/imgs/ReturnSeq.jpg', width=800)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Input: **[n_samples,1,1]**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Option1**: Propagate the first layer and provide every output of the first layer to the following layer:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "look_back = 2;\n", "dataset = datasetO.values\n", "dataset = dataset.astype('float32')\n", "# split into train and test sets\n", "train_size = int(len(dataset) * 0.67)\n", "test_size = len(dataset) - train_size\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, look_back)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, look_back)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(94, 2)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train.shape" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(94, 2, 1)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "temp = X_train.reshape(X_train.shape[0],look_back,1)\n", "temp.shape" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 26.23 RMSE\n", "Test Score: 67.27 RMSE\n", "Train Score: 9.69 MAPE\n", "Test Score: 12.05 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model5b = Sequential()\n", "model5b.add(SimpleRNN(5,activation = 'relu',return_sequences=True,input_shape=(look_back,1)))\n", "model5b.add(SimpleRNN(5,activation = 'relu'))\n", "model5b.add(Dense(1))\n", "#-----------------------------------------------------------------------------------------------\n", "model5b.compile(optimizer='adam',loss='mse')\n", "model5b.fit(X_train.reshape(X_train.shape[0],look_back,1),y_train.flatten(),epochs=500, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model5b,X_train,X_test,y_train,y_test,scaler,1,look_back)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_7\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "simple_rnn_14 (SimpleRNN) (None, 2, 5) 35 \n", "_________________________________________________________________\n", "simple_rnn_15 (SimpleRNN) (None, 5) 55 \n", "_________________________________________________________________\n", "dense_7 (Dense) (None, 1) 6 \n", "=================================================================\n", "Total params: 96\n", "Trainable params: 96\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model5b.summary()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 0.30 RMSE\n", "Test Score: 0.32 RMSE\n", "Train Score: 0.68 MAPE\n", "Test Score: 0.54 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "look_back = 3;\n", "dataset = dataset1.values\n", "dataset = dataset.astype('float32')\n", "# split into train and test sets\n", "test_size = 600\n", "train_size = int(len(dataset) - test_size)\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, look_back)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, look_back)\n", "#-----------------------------------------------------------------------\n", "model5b = Sequential()\n", "model5b.add(SimpleRNN(20,activation = 'relu',return_sequences=True,input_shape=(look_back,1)))\n", "model5b.add(SimpleRNN(20,activation = 'relu'))\n", "model5b.add(Dense(1))\n", "#-----------------------------------------------------------------------------------------\n", "model5b.compile(optimizer='adam',loss='mse')\n", "model5b.fit(X_train.reshape(X_train.shape[0],look_back,1),y_train.flatten(),epochs=50, validation_split=0.10, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model5b,X_train,X_test,y_train,y_test,scaler,1,look_back)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(scaler.inverse_transform(y_test[:, np.newaxis]),'b',label='Real KO Stock Price')\n", "plt.plot(testPredict.flatten(),'g',label='Predicted KO Stock Price')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Option2**: Propagate the first layer and provide only the output of the last time step to the following layer:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "look_back = 2;\n", "dataset = datasetO.values\n", "dataset = dataset.astype('float32')\n", "# split into train and test sets\n", "train_size = int(len(dataset) * 0.67)\n", "test_size = len(dataset) - train_size\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, look_back)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, look_back)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 23.85 RMSE\n", "Test Score: 51.97 RMSE\n", "Train Score: 8.78 MAPE\n", "Test Score: 10.55 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model5 = Sequential()\n", "model5.add(SimpleRNN(5,activation = 'relu',input_shape=(1,look_back)))\n", "model5.add(RepeatVector(look_back))\n", "model5.add(SimpleRNN(5,activation = 'relu'))\n", "model5.add(Dense(1))\n", "#-------------------------------------------------------------------------\n", "model5.compile(optimizer='adam',loss='mse')\n", "model5.fit(X_train.reshape(X_train.shape[0],1,look_back),y_train.flatten(),epochs=500, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model5,X_train,X_test,y_train,y_test,scaler,look_back,1)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_6\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "simple_rnn_5 (SimpleRNN) (None, 5) 40 \n", "_________________________________________________________________\n", "repeat_vector (RepeatVector) (None, 2, 5) 0 \n", "_________________________________________________________________\n", "simple_rnn_6 (SimpleRNN) (None, 5) 55 \n", "_________________________________________________________________\n", "dense_6 (Dense) (None, 1) 6 \n", "=================================================================\n", "Total params: 101\n", "Trainable params: 101\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model5.summary()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 0.50 RMSE\n", "Test Score: 0.92 RMSE\n", "Train Score: 1.21 MAPE\n", "Test Score: 1.83 MAPE\n", "1\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "look_back = 3;\n", "dataset = dataset1.values\n", "dataset = dataset.astype('float32')\n", "# split into train and test sets\n", "test_size = 600\n", "train_size = int(len(dataset) - test_size)\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "X_train, y_train = DataPreparationRNN.create_dataset(trainN, look_back)\n", "X_test, y_test = DataPreparationRNN.create_dataset(testN, look_back)\n", "#---------------------------------------------------------------------\n", "model5 = Sequential()\n", "model5.add(SimpleRNN(20,activation = 'relu',input_shape=(look_back,1)))\n", "model5.add(RepeatVector(look_back))\n", "model5.add(SimpleRNN(20,activation = 'relu',kernel_regularizer=keras.regularizers.l2(0.01)))\n", "model5.add(Dense(1))\n", "#----------------------------------------------------------------------\n", "model5.compile(optimizer='adam',loss='mse')\n", "model5.fit(X_train.reshape(X_train.shape[0],look_back,1),y_train.flatten(),epochs=50, validation_split=0.10,verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN(model5,X_train,X_test,y_train,y_test,scaler,1,look_back)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(scaler.inverse_transform(y_test[:, np.newaxis]),'b',label='Real KO Stock Price')\n", "plt.plot(testPredict.flatten(),'g',label='Predicted KO Stock Price')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Predicting several times ahead" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Walk forward using a RNN" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 0.29 RMSE\n", "Test Score: 0.71 RMSE\n", "Train Score: 0.65 MAPE\n", "Test Score: 1.24 MAPE\n", "3\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "look_back = 10\n", "time_ahead = 7\n", "dataset = dataset1.values\n", "dataset = dataset.astype('float32')\n", "\n", "# split into train and test sets\n", "test_size = 600\n", "train_size = int(len(dataset) - test_size)\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "\n", "X_train, y_train = split_sequence(trainN, look_back)\n", "X_test, y_test = DataPreparationRNN.create_datasetMultipleTimesBackAhead(testN, n_steps_out=time_ahead, n_steps_in = look_back, overlap = time_ahead)\n", "\n", "model6c = Sequential()\n", "model6c.add(SimpleRNN(20,activation = 'relu',input_shape=(look_back,1)))\n", "model6c.add(Dense(1))\n", "\n", "\n", "model6c.compile(optimizer='adam',loss='mse')\n", "model6c.fit(X_train.reshape(X_train.shape[0],look_back,1),y_train.flatten(),epochs=500, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN_MultiStep(model6c,X_train,X_test,y_train,y_test,scaler,look_back,time_ahead,0)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(scaler.inverse_transform(y_test.flatten()[:, np.newaxis]),'b',label='Real KO Stock Price')\n", "plt.plot(testPredict.flatten(),'g',label='Predicted KO Stock Price')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A RNN network with multiple outputs" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train [[0.03776747 0.03944606 0.04028529 0.04951739 0.05203521 0.05287451\n", " 0.05455303 0.05119592 0.04951739 0.0436424 ]\n", " [0.05119592 0.04951739 0.0436424 0.03776747 0.04070497 0.03524965\n", " 0.03063363 0.04196388 0.04196388 0.04993707]\n", " [0.04196388 0.04196388 0.04993707 0.05874944 0.05791014 0.05329418\n", " 0.04909778 0.0486781 0.04280317 0.03776747]\n", " [0.0486781 0.04280317 0.03776747 0.04783881 0.0436424 0.0465799\n", " 0.0465799 0.04574066 0.04699951 0.04699951]\n", " [0.04574066 0.04699951 0.04699951 0.0507763 0.05665129 0.05958873\n", " 0.06210655 0.06546366 0.06588334 0.06966007]\n", " [0.06546366 0.06588334 0.06966007 0.07091904 0.06672263 0.06210655\n", " 0.05958873 0.06294584 0.05958873 0.06966007]\n", " [0.06294584 0.05958873 0.06966007 0.07133859 0.07805282 0.075535\n", " 0.07721359 0.07595462 0.07469571 0.07637429]\n", " [0.07595462 0.07469571 0.07637429 0.0797314 0.07679397 0.07889211\n", " 0.07637429 0.07469571 0.07217789 0.06882077]\n", " [0.07469571 0.07217789 0.06882077 0.06630296 0.06420469 0.06294584\n", " 0.06378514 0.06126726 0.06042802 0.05874944]\n", " [0.06126726 0.06042802 0.05874944 0.05623162 0.04825848 0.05874944\n", " 0.04490137 0.04699951 0.04616028 0.04783881]]\n", "Test [[0.03776747 0.04070497 0.03524965 0.03063363 0.04196388 0.04196388\n", " 0.04993707]\n", " [0.05874944 0.05791014 0.05329418 0.04909778 0.0486781 0.04280317\n", " 0.03776747]\n", " [0.04783881 0.0436424 0.0465799 0.0465799 0.04574066 0.04699951\n", " 0.04699951]\n", " [0.0507763 0.05665129 0.05958873 0.06210655 0.06546366 0.06588334\n", " 0.06966007]\n", " [0.07091904 0.06672263 0.06210655 0.05958873 0.06294584 0.05958873\n", " 0.06966007]\n", " [0.07133859 0.07805282 0.075535 0.07721359 0.07595462 0.07469571\n", " 0.07637429]\n", " [0.0797314 0.07679397 0.07889211 0.07637429 0.07469571 0.07217789\n", " 0.06882077]\n", " [0.06630296 0.06420469 0.06294584 0.06378514 0.06126726 0.06042802\n", " 0.05874944]\n", " [0.05623162 0.04825848 0.05874944 0.04490137 0.04699951 0.04616028\n", " 0.04783881]\n", " [0.06126726 0.06378514 0.05916911 0.05665129 0.0507763 0.05413342\n", " 0.06168693]]\n" ] } ], "source": [ "look_back = 10;\n", "time_ahead = 7\n", "dataset = dataset1.values\n", "dataset = dataset.astype('float32')\n", "\n", "# split into train and test sets\n", "train_size = int(len(dataset) * 0.67)\n", "test_size = len(dataset) - train_size\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "\n", "X_train, y_train = DataPreparationRNN.create_datasetMultipleTimesBackAhead(trainN, n_steps_out=time_ahead, n_steps_in = look_back, overlap = time_ahead)\n", "X_train2, y_train2 = DataPreparationRNN.create_datasetMultipleTimesBackAhead(trainN, n_steps_out=time_ahead, n_steps_in = look_back, overlap = 1)\n", "X_test, y_test = DataPreparationRNN.create_datasetMultipleTimesBackAhead(testN, n_steps_out=time_ahead, n_steps_in = look_back, overlap = time_ahead)\n", "print('Train',X_train[:10])\n", "print('Test',y_train[:10])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X_Train (287, 10)\n", "Y_train (287, 7)\n" ] } ], "source": [ "print('X_Train',X_train.shape)\n", "print('Y_train',y_train.shape)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 0.61 RMSE\n", "Test Score: 0.72 RMSE\n", "Train Score: 1.54 MAPE\n", "Test Score: 1.26 MAPE\n", "5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model7 = Sequential()\n", "model7.add(SimpleRNN(20,activation = 'relu',input_shape=(look_back,1)))\n", "model7.add(Dense(10))\n", "model7.add(Dense(time_ahead))\n", "model7.compile(optimizer='adam',loss='mse')\n", "model7.fit(X_train2.reshape(X_train2.shape[0],look_back,1),y_train2,epochs=200, verbose=0)\n", "#------------------------------------\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN_MultiStepEncoDeco(model7,X_train,X_test,y_train,y_test,scaler,look_back,time_ahead)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(scaler.inverse_transform(y_test.flatten()[:, np.newaxis]),'b',label='Real KO Stock Price')\n", "plt.plot(testPredict.flatten(),'g',label='Predicted KO Stock Price')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Encoder-Decoder architecture (sequence-to-sequence)\n", "\n", "Input: **[n_samples,3,1]**\n", "\n", "Ouput: **[n_samples,3,1]**" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 0.56 RMSE\n", "Test Score: 0.89 RMSE\n", "Train Score: 1.28 MAPE\n", "Test Score: 1.59 MAPE\n", "5\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "look_back = 10;\n", "time_ahead = 7\n", "dataset = dataset1.values\n", "dataset = dataset.astype('float32')\n", "\n", "# split into train and test sets\n", "test_size = 600\n", "train_size = int(len(dataset) - test_size)\n", "train, test = dataset[0:train_size], dataset[train_size:len(dataset)]\n", "\n", "# normalize the dataset\n", "scaler = MinMaxScaler(feature_range=(0, 1))\n", "trainN = scaler.fit_transform(train)\n", "testN = scaler.transform(test)\n", "\n", "X_train, y_train = DataPreparationRNN.create_datasetMultipleTimesBackAhead(trainN, n_steps_out=time_ahead, n_steps_in = look_back, overlap = time_ahead)\n", "X_train2, y_train2 = DataPreparationRNN.create_datasetMultipleTimesBackAhead(trainN, n_steps_out=time_ahead, n_steps_in = look_back, overlap = 1)\n", "X_test, y_test = DataPreparationRNN.create_datasetMultipleTimesBackAhead(testN, n_steps_out=time_ahead, n_steps_in = look_back, overlap = time_ahead)\n", "\n", "model8b = Sequential()\n", "model8b.add(SimpleRNN(20,activation = 'relu',input_shape=(look_back,1)))\n", "model8b.add(RepeatVector(time_ahead))\n", "model8b.add(SimpleRNN(20,activation = 'relu',return_sequences=True))\n", "model8b.add(TimeDistributed(Dense(1)))\n", "\n", "\n", "\n", "\n", "model8b.compile(optimizer='adam',loss='mse')\n", "model8b.fit(X_train2.reshape(X_train2.shape[0],look_back,1),y_train2.reshape(y_train2.shape[0],time_ahead,1),epochs=1000, verbose=0)\n", "trainPredict, testPredict = DataPreparationRNN.EstimaRMSE_RNN_MultiStepEncoDeco(model8b,X_train,X_test,y_train,y_test,scaler,look_back,time_ahead)\n", "DataPreparationRNN.PintaResultado(dataset,trainPredict,testPredict,look_back)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(scaler.inverse_transform(y_test.flatten()[:, np.newaxis]),'b',label='Real KO Stock Price')\n", "plt.plot(testPredict.flatten(),'g',label='Predicted KO Stock Price')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "many-to-one\n", "model8 = Sequential()\n", "model8.add(SimpleRNN(5,activation = 'relu',return_sequences=True,input_shape=(look_back,1)))\n", "model8.add(SimpleRNN(5,activation = 'relu'))\n", "model8.add(Dense(1))\n", "\n", "many-to-many\n", "model8 = Sequential()\n", "model8.add(SimpleRNN(5,activation = 'relu',return_sequences=True,input_shape=(look_back,1)))\n", "model8.add(SimpleRNN(5,activation = 'relu',return_sequences=True))\n", "model8.add(TimeDistributeds(Dense(1)))\n", "\n", "seq-to-seq\n", "model8 = Sequential()\n", "model8.add(SimpleRNN(5,activation = 'relu',input_shape=(look_back,1)))\n", "model8.add(RepeatVector(repetitions))\n", "model8.add(SimpleRNN(5,activation = 'relu',return_sequences=True))\n", "model8.add(TimeDistributed(Dense(1)))" ] } ], "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": "3.7.6" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }