{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] }, { "data": { "text/html": [ "" ], "text/vnd.plotly.v1+html": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import os\n", "import warnings\n", "import time\n", "import copy\n", "\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from sklearn.metrics import mean_squared_error, explained_variance_score, r2_score\n", "from sklearn.model_selection import train_test_split, KFold\n", "from sklearn.linear_model import LinearRegression, Lasso, lasso_path, lars_path, LassoLarsIC\n", "from sklearn.neural_network import MLPRegressor\n", "\n", "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3' #Hide messy TensorFlow warnings\n", "warnings.filterwarnings(\"ignore\") #Hide messy Numpy warnings\n", "\n", "import keras\n", "from keras.layers.core import Dense, Activation, Dropout\n", "from keras.layers import Input\n", "from keras.models import Model\n", "\n", "from keras.layers.recurrent import LSTM, GRU\n", "from keras.regularizers import l1\n", "from keras.models import Sequential\n", "from keras.models import load_model\n", "\n", "#plotly charts\n", "from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\n", "from plotly.graph_objs import *\n", "import plotly.figure_factory as ff\n", "init_notebook_mode(connected=True)\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# splines chart\n", "# R code\n", "\"\"\"\n", "testdata <- data.frame(seq(from=1, to = 1000))\n", "testdata['x'] <- seq(from=0, to = 3*pi, length.out=1000)\n", "testdata['y'] <- -cos(testdata$x) + testdata$x/(3*pi) + rnorm(1000)*0.25\n", "nrows <- 300\n", "indexes <- sample(nrow(testdata), nrows)\n", "indexes <- indexes[order(indexes)]\n", "testdata <- testdata[indexes, ]\n", "plot(testdata$x, testdata$y, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=2)\n", "testdata$fit2 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit2, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=3)\n", "testdata$fit3 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit3, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=4)\n", "testdata$fit4 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit4, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=5)\n", "testdata$fit5 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit5, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=6)\n", "testdata$fit6 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit6, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=20)\n", "testdata$fit20 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit20, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=40)\n", "testdata$fit40 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit40, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=80)\n", "testdata$fit80 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit80, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=160)\n", "testdata$fit160 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit160, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,df=240)\n", "testdata$fit240 <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fit240, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "fit <- smooth.spline(testdata$x,testdata$y,cv=TRUE)\n", "testdata$fitcv <- predict(fit, newdata=testdata$x)[2]$y\n", "plot(testdata$x, testdata$fitcv, main=\"Scatterplot\", xlab=\"x\", ylab=\"y\", pch=1)\n", "\n", "write.csv(testdata, \"splines.csv\")\n", "print(fit)\n", "\"\"\"\n", "splines = pd.read_csv('splines.csv')\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "marker": { "line": { "color": "rgba(128, 128, 192, .75)", "width": 2 }, "size": 3 }, "mode": "markers", "name": "Raw data", "type": "scatter", "x": [ 0.0566052730376539, 0.12264475824825, 0.264157940842385, 0.29246057736121195, 0.311329001707097, 0.32076321388003903, 0.339631638225924, 0.386802699090635, 0.41510533560946206, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "data = splines.values\n", "\n", "x = data[:,2]\n", "y = data[:,3] \n", "fit2 = data[:,4]\n", "fit3 = data[:,5]\n", "fit4 = data[:,6]\n", "fit5 = data[:,7]\n", "fit6 = data[:,8]\n", "fit20 = data[:,9]\n", "fit40 = data[:,10]\n", "fit80 = data[:,11]\n", "fit160 = data[:,12]\n", "fit240 = data[:,13]\n", "fitcv = data[:,14]\n", "\n", "plotdata = []\n", "plotdata.append(Scatter(x=x,\n", " y=y,\n", " name='Raw data',\n", " mode = 'markers',\n", " marker = dict(\n", " size = 3,\n", " line = dict(\n", " width = 2,\n", " color = 'rgba(128, 128, 192, .75)',\n", " )\n", " )\n", " )\n", " )\n", "plotdata.append(Scatter(x=x,\n", " y=fit2,\n", " name='Linear (high bias / low variance)',\n", " mode = 'line',\n", " line = dict(\n", " color = ('orange'),\n", " width = 2) \n", " ))\n", "plotdata.append(Scatter(x=x,\n", " y=fit4,\n", " name='Underfit (high bias / low variance)',\n", " mode = 'line',\n", " line = dict(\n", " width = 2,\n", " color= ('blue'), \n", " ) \n", " ))\n", "plotdata.append(Scatter(x=x,\n", " y=fitcv,\n", " name='Lowest CV error',\n", " mode = 'line',\n", " line = dict(\n", " color = ('green'),\n", " width = 5)\n", ") )\n", "plotdata.append(Scatter(x=x,\n", " y=fit240,\n", " name='Overfit (high variance / low bias)',\n", " mode = 'line',\n", " line = dict(\n", " width = 2,\n", " color= ('rgb(192,0,0)')) \n", " \n", " ))\n", "\n", "layout = Layout(\n", " yaxis=dict(\n", " autorange=True))\n", "\n", "\n", "fig = Figure(data=plotdata, layout=layout)\n", "\n", "iplot(fig) # png to save notebook w/static image " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# create a data set, sin wave plus trend plus random noise\n", "nobs = 2000\n", "x = np.linspace(0, 3*np.pi, num=nobs)\n", "y = -np.cos(x) + x/(3*np.pi) + np.random.normal(0, 0.25, nobs)\n", "\n", "x2 = np.linspace(0, 15*np.pi, num=nobs)\n", "y1 = -np.sin(x2) + x2/(3*np.pi) + np.random.normal(0, 0.25, nobs)\n", "y2 = -np.cos(x2) + x2/(3*np.pi) + np.random.normal(0, 0.25, nobs)\n", "\n", "# sample 20% to make it more sparse\n", "#arr = np.arange(nobs)\n", "#np.random.shuffle(arr)\n", "#x = arr[:200]\n", "#y = y[x]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "mode": "markers", "type": "scatter", "x": [ 0, 0.004714746353561471, 0.009429492707122941, 0.014144239060684412, 0.018858985414245882, 0.023573731767807353, 0.028288478121368824, 0.033003224474930294, 0.037717970828491765, 0.042432717182053235, 0.047147463535614706, 0.051862209889176177, 0.05657695624273765, 0.06129170259629912, 0.06600644894986059, 0.07072119530342205, 0.07543594165698353, 0.08015068801054501, 0.08486543436410647, 0.08958018071766793, 0.09429492707122941, 0.09900967342479089, 0.10372441977835235, 0.10843916613191382, 0.1131539124854753, 0.11786865883903677, 0.12258340519259824, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# chart it\n", "\n", "def mychart(*args):\n", "\n", " # pass some 2d n x 1 arrays, x, y, z\n", " \n", " # 1st array is independent vars\n", " # reshape to 1 dimensional array\n", " x = args[0].reshape(-1)\n", " \n", " # following are dependent vars plotted on y axis\n", " data = []\n", " for i in range(1, len(args)):\n", " data.append(Scatter(x=x,\n", " y=args[i].reshape(-1),\n", " mode = 'markers'))\n", "\n", " layout = Layout(\n", " yaxis=dict(\n", " autorange=True))\n", " \n", " fig = Figure(data=data, layout=layout)\n", " \n", " return iplot(fig) # png to save notebook w/static image \n", " \n", "mychart(x,y)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "mode": "markers", "type": "scatter", "x": [ 0, 0.02357373176780735, 0.0471474635356147, 0.07072119530342205, 0.0942949270712294, 0.11786865883903674, 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"name": "stdout", "output_type": "stream", "text": [ "This is the format of your plot grid:\n", "[ (1,1) x1,y1 ] [ (1,2) x2,y2 ] [ (1,3) x3,y3 ] [ (1,4) x4,y4 ] \n", "[ (2,1) x5,y5 ] [ (2,2) x6,y6 ] [ (2,3) x7,y7 ] [ (2,4) x8,y8 ] \n", "[ (3,1) x9,y9 ] [ (3,2) x10,y10 ] [ (3,3) x11,y11 ] [ (3,4) x12,y12 ]\n", "[ (4,1) x13,y13 ] [ (4,2) x14,y14 ] [ (4,3) x15,y15 ] [ (4,4) x16,y16 ]\n", "\n", "Layer 1 units: 1, Layer 2 units 1:\n", "Running experiment 1 of 16 : 1 1\n", "0.45123687843071003\n", "10:59:18 Train MSE: 0.45123687843071003\n", "10:59:18 Train R-squared: 0.360194\n", "Layer 1 units: 1, Layer 2 units 2:\n", "Running experiment 2 of 16 : 1 2\n", "0.4501787438606833\n", "10:59:18 Train MSE: 0.4501787438606833\n", "10:59:18 Train R-squared: 0.361694\n", "Layer 1 units: 1, Layer 2 units 4:\n", "Running experiment 3 of 16 : 1 4\n", "0.449447662622746\n", "10:59:19 Train MSE: 0.449447662622746\n", "10:59:19 Train R-squared: 0.362731\n", "Layer 1 units: 1, Layer 2 units 8:\n", "Running experiment 4 of 16 : 1 8\n", "0.44960316888835167\n", "10:59:19 Train MSE: 0.44960316888835167\n", "10:59:19 Train R-squared: 0.362511\n", "Layer 1 units: 2, Layer 2 units 1:\n", "Running experiment 5 of 16 : 2 1\n", "0.4493035300677745\n", "10:59:19 Train MSE: 0.4493035300677745\n", "10:59:19 Train R-squared: 0.362935\n", "Layer 1 units: 2, Layer 2 units 2:\n", "Running experiment 6 of 16 : 2 2\n", "0.3769890459200242\n", "10:59:19 Train MSE: 0.3769890459200242\n", "10:59:19 Train R-squared: 0.465470\n", "Layer 1 units: 2, Layer 2 units 4:\n", "Running experiment 7 of 16 : 2 4\n", "0.06425241086551657\n", "10:59:20 Train MSE: 0.06425241086551657\n", "10:59:20 Train R-squared: 0.908897\n", "Layer 1 units: 2, Layer 2 units 8:\n", "Running experiment 8 of 16 : 2 8\n", "0.06460457742750453\n", "10:59:20 Train MSE: 0.06460457742750453\n", "10:59:20 Train R-squared: 0.908398\n", "Layer 1 units: 4, Layer 2 units 1:\n", "Running experiment 9 of 16 : 4 1\n", "0.0646415331604307\n", "10:59:20 Train MSE: 0.0646415331604307\n", "10:59:20 Train R-squared: 0.908345\n", "Layer 1 units: 4, Layer 2 units 2:\n", "Running experiment 10 of 16 : 4 2\n", "0.44931457571832617\n", "10:59:20 Train MSE: 0.44931457571832617\n", "10:59:20 Train R-squared: 0.362920\n", "Layer 1 units: 4, Layer 2 units 4:\n", "Running experiment 11 of 16 : 4 4\n", "0.06389679796982471\n", "10:59:20 Train MSE: 0.06389679796982471\n", "10:59:20 Train R-squared: 0.909401\n", "Layer 1 units: 4, Layer 2 units 8:\n", "Running experiment 12 of 16 : 4 8\n", "0.0636990840102081\n", "10:59:21 Train MSE: 0.0636990840102081\n", "10:59:21 Train R-squared: 0.909681\n", "Layer 1 units: 8, Layer 2 units 1:\n", "Running experiment 13 of 16 : 8 1\n", "0.4493031378114045\n", "10:59:21 Train MSE: 0.4493031378114045\n", "10:59:21 Train R-squared: 0.362936\n", "Layer 1 units: 8, Layer 2 units 2:\n", "Running experiment 14 of 16 : 8 2\n", "0.06367152233486137\n", "10:59:21 Train MSE: 0.06367152233486137\n", "10:59:21 Train R-squared: 0.909721\n", "Layer 1 units: 8, Layer 2 units 4:\n", "Running experiment 15 of 16 : 8 4\n", "0.06352021208219046\n", "10:59:22 Train MSE: 0.06352021208219046\n", "10:59:22 Train R-squared: 0.909935\n", "Layer 1 units: 8, Layer 2 units 8:\n", "Running experiment 16 of 16 : 8 8\n", "0.06369116044117601\n", "10:59:22 Train MSE: 0.06369116044117601\n", "10:59:22 Train R-squared: 0.909693\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "data": [ { "marker": { "size": 2 }, "mode": "markers", "name": "fit", "type": "scatter", "x": [ 0, 0.004714746353561471, 0.009429492707122941, 0.014144239060684412, 0.018858985414245882, 0.023573731767807353, 0.028288478121368824, 0.033003224474930294, 0.037717970828491765, 0.042432717182053235, 0.047147463535614706, 0.051862209889176177, 0.05657695624273765, 0.06129170259629912, 0.06600644894986059, 0.07072119530342205, 0.07543594165698353, 0.08015068801054501, 0.08486543436410647, 0.08958018071766793, 0.09429492707122941, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fit with sklearn MLPRegressor\n", "\n", "layer1_sizes=[1,2,4,8]\n", "layer2_sizes=[1,2,4,8]\n", "import itertools\n", "from plotly import tools\n", " \n", "def run_grid(build_model_fn, layer1_sizes, layer2_sizes, x, y, epochs=None):\n", " nrows = len(layer1_sizes)\n", " ncols = len(layer2_sizes)\n", " \n", " hyperparameter_list = list(itertools.product(layer1_sizes, layer2_sizes))\n", " subplot_titles = [\"%d units, %d units\" % \n", " (layer1_size, layer2_size) for (layer1_size, layer2_size) in hyperparameter_list]\n", " \n", " fig = tools.make_subplots(rows=nrows, \n", " cols=ncols, \n", " subplot_titles=subplot_titles)\n", " \n", " for count, (layer1_size, layer2_size) in enumerate(hyperparameter_list):\n", " print(\"Layer 1 units: %d, Layer 2 units %d:\" % (layer1_size, layer2_size))\n", " \n", " print(\"Running experiment %d of %d : %d %d\" % (count+1, len(hyperparameter_list), layer1_size, layer2_size))\n", " model = build_model_fn(hidden_layer_sizes=(layer1_size, layer2_size),\n", " activation='tanh',\n", " max_iter=10000, tol=1e-10,\n", " solver='lbfgs'\n", " )\n", " x = x.reshape(-1,1)\n", " \n", " if epochs:\n", " model.fit(x,y, epochs=EPOCHS)\n", " else:\n", " model.fit(x,y)\n", " \n", " y_pred = model.predict(x)\n", " train_score = mean_squared_error(y, y_pred)\n", " print(train_score)\n", " print(\"%s Train MSE: %s\" % (time.strftime(\"%H:%M:%S\"), str(train_score)))\n", " print(\"%s Train R-squared: %.6f\" % (time.strftime(\"%H:%M:%S\"), 1-train_score/y.var()))\n", "\n", " z = model.predict(x)\n", " \n", " trace = Scatter(\n", " x = x.reshape(-1),\n", " y = z.reshape(-1),\n", " name = 'fit', \n", " mode = 'markers',\n", " marker = dict(size = 2)\n", " )\n", " fig.append_trace(trace, count // nrows + 1, count % ncols +1)\n", " return(iplot(fig))\n", " \n", "run_grid(MLPRegressor, layer1_sizes, layer2_sizes, x, y)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# sklearn MLP regression didn't work as well as expected\n", "# let's build our own keras model by wrappping it in sklearn interface\n", "\n", "def build_ols_model(input_size = 1, hidden_layer_sizes=[4]):\n", " \n", " main_input = Input(shape=(input_size,), name='main_input')\n", "\n", " lastlayer=main_input\n", " for layer_size in hidden_layer_sizes:\n", " lastlayer = Dense(layer_size, \n", " kernel_initializer=keras.initializers.glorot_normal(seed=None),\n", " bias_initializer=keras.initializers.glorot_normal(seed=None),\n", " activation='tanh')(lastlayer)\n", " \n", " output = Dense(1, activation='linear')(lastlayer)\n", " \n", " model = Model(inputs=[main_input], outputs=[output])\n", "\n", " model.compile(loss=\"mse\",\n", " optimizer='rmsprop'\n", " )\n", " print(model.summary())\n", " \n", " return model\n", "\n", "\n", " \n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "EPOCHS=5000\n", "BATCH_SIZE=1000\n", "def run_experiment (model, x, y):\n", " \n", " models = []\n", " losses = []\n", "\n", " for epoch in range(EPOCHS):\n", " fit = model.fit(\n", " x,\n", " y,\n", " batch_size=BATCH_SIZE,\n", " shuffle=True,\n", " epochs=1,\n", " verbose=0\n", " )\n", " \n", " train_loss = fit.history['loss'][-1]\n", " \n", " losses.append(train_loss)\n", " models.append(copy.copy(model))\n", " \n", " bestloss_index = np.argmin(losses)\n", " bestloss_value = losses[bestloss_index]\n", " if epoch % 100 == 99:\n", " print(\"%s Epoch %d of %d Loss %.6f Best Loss %.6f\" % (time.strftime(\"%H:%M:%S\"), \n", " epoch+1, \n", " EPOCHS, train_loss, \n", " bestloss_value))\n", " # stop if loss rises by 20% from best\n", " #if train_loss / bestloss_value > 1.2:\n", " # print(\"%s Stopping...\" % (time.strftime(\"%H:%M:%S\")))\n", " # break\n", " \n", " print (\"%s Best training loss epoch %d, value %f\" % (time.strftime(\"%H:%M:%S\"), bestloss_index, bestloss_value))\n", " model = models[bestloss_index]\n", " \n", " train_score = model.evaluate(x, y)\n", " print(train_score)\n", " print(\"%s Train MSE: %s\" % (time.strftime(\"%H:%M:%S\"), str(train_score)))\n", " print(\"%s Train R-squared: %.6f\" % (time.strftime(\"%H:%M:%S\"), 1-train_score/y.var()))\n", "\n", " return mychart(x, y, model.predict(x))\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_1 (Dense) (None, 4) 8 \n", "_________________________________________________________________\n", "dense_2 (Dense) (None, 4) 20 \n", "_________________________________________________________________\n", "dense_3 (Dense) (None, 1) 5 \n", "=================================================================\n", "Total params: 33\n", "Trainable params: 33\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "10:59:28 Epoch 100 of 5000 Loss 0.454866 Best Loss 0.454866\n", "10:59:30 Epoch 200 of 5000 Loss 0.440300 Best Loss 0.440300\n", "10:59:31 Epoch 300 of 5000 Loss 0.430287 Best Loss 0.430266\n", "10:59:32 Epoch 400 of 5000 Loss 0.423292 Best Loss 0.423292\n", "10:59:34 Epoch 500 of 5000 Loss 0.419050 Best Loss 0.419013\n", "10:59:35 Epoch 600 of 5000 Loss 0.415203 Best Loss 0.415203\n", "10:59:37 Epoch 700 of 5000 Loss 0.411413 Best Loss 0.411413\n", "10:59:38 Epoch 800 of 5000 Loss 0.407389 Best Loss 0.407328\n", "10:59:39 Epoch 900 of 5000 Loss 0.402804 Best Loss 0.402804\n", "10:59:41 Epoch 1000 of 5000 Loss 0.398626 Best Loss 0.398626\n", "10:59:42 Epoch 1100 of 5000 Loss 0.395037 Best Loss 0.394761\n", "10:59:43 Epoch 1200 of 5000 Loss 0.391516 Best Loss 0.391516\n", "10:59:45 Epoch 1300 of 5000 Loss 0.389361 Best Loss 0.389119\n", "10:59:46 Epoch 1400 of 5000 Loss 0.387390 Best Loss 0.387390\n", "10:59:47 Epoch 1500 of 5000 Loss 0.386087 Best Loss 0.386087\n", "10:59:48 Epoch 1600 of 5000 Loss 0.385108 Best Loss 0.385108\n", "10:59:49 Epoch 1700 of 5000 Loss 0.384455 Best Loss 0.384379\n", "10:59:50 Epoch 1800 of 5000 Loss 0.383898 Best Loss 0.383654\n", "10:59:51 Epoch 1900 of 5000 Loss 0.382989 Best Loss 0.382975\n", "10:59:52 Epoch 2000 of 5000 Loss 0.382186 Best Loss 0.382186\n", "10:59:53 Epoch 2100 of 5000 Loss 0.382344 Best Loss 0.381253\n", "10:59:55 Epoch 2200 of 5000 Loss 0.379681 Best Loss 0.379681\n", "10:59:56 Epoch 2300 of 5000 Loss 0.376322 Best Loss 0.375842\n", "10:59:57 Epoch 2400 of 5000 Loss 0.357396 Best Loss 0.357396\n", "10:59:58 Epoch 2500 of 5000 Loss 0.242111 Best Loss 0.242111\n", "10:59:59 Epoch 2600 of 5000 Loss 0.097278 Best Loss 0.097278\n", "11:00:00 Epoch 2700 of 5000 Loss 0.078167 Best Loss 0.076910\n", "11:00:01 Epoch 2800 of 5000 Loss 0.073316 Best Loss 0.070604\n", "11:00:02 Epoch 2900 of 5000 Loss 0.069464 Best Loss 0.067773\n", "11:00:03 Epoch 3000 of 5000 Loss 0.068371 Best Loss 0.066624\n", "11:00:04 Epoch 3100 of 5000 Loss 0.066509 Best Loss 0.066264\n", "11:00:05 Epoch 3200 of 5000 Loss 0.067152 Best Loss 0.066055\n", "11:00:06 Epoch 3300 of 5000 Loss 0.067296 Best Loss 0.065978\n", "11:00:07 Epoch 3400 of 5000 Loss 0.066435 Best Loss 0.065866\n", "11:00:09 Epoch 3500 of 5000 Loss 0.065987 Best Loss 0.065753\n", "11:00:10 Epoch 3600 of 5000 Loss 0.068419 Best Loss 0.065646\n", "11:00:11 Epoch 3700 of 5000 Loss 0.067809 Best Loss 0.065501\n", "11:00:12 Epoch 3800 of 5000 Loss 0.065614 Best Loss 0.065393\n", "11:00:13 Epoch 3900 of 5000 Loss 0.065301 Best Loss 0.065238\n", "11:00:14 Epoch 4000 of 5000 Loss 0.065297 Best Loss 0.065232\n", "11:00:16 Epoch 4100 of 5000 Loss 0.065132 Best Loss 0.065132\n", "11:00:17 Epoch 4200 of 5000 Loss 0.067115 Best Loss 0.065132\n", "11:00:20 Epoch 4300 of 5000 Loss 0.065320 Best Loss 0.065060\n", "11:00:21 Epoch 4400 of 5000 Loss 0.065299 Best Loss 0.065060\n", "11:00:22 Epoch 4500 of 5000 Loss 0.068100 Best Loss 0.065059\n", "11:00:23 Epoch 4600 of 5000 Loss 0.066901 Best Loss 0.065020\n", "11:00:24 Epoch 4700 of 5000 Loss 0.068272 Best Loss 0.065020\n", "11:00:25 Epoch 4800 of 5000 Loss 0.066469 Best Loss 0.065017\n", "11:00:26 Epoch 4900 of 5000 Loss 0.068633 Best Loss 0.064932\n", "11:00:27 Epoch 5000 of 5000 Loss 0.065355 Best Loss 0.064932\n", "11:00:27 Best training loss epoch 4861, value 0.064932\n", "2000/2000 [==============================] - 0s 71us/step\n", "0.06788910901546479\n", "11:00:27 Train MSE: 0.06788910901546479\n", "11:00:27 Train R-squared: 0.903740\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "data": [ { "mode": "markers", "type": "scatter", "x": [ 0, 0.004714746353561471, 0.009429492707122941, 0.014144239060684412, 0.018858985414245882, 0.023573731767807353, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = build_ols_model(hidden_layer_sizes=[4,4])\n", "run_experiment(model, x, y)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# wrap our keras model in sklearn wrapper so we can run grid like above MLPRegressor\n", "from keras.wrappers.scikit_learn import KerasRegressor\n", "\n", "# closure for sklearn wrapper\n", "def make_build(layer_sizes):\n", " def myclosure():\n", " return build_ols_model(input_size=1, hidden_layer_sizes=layer_sizes)\n", " return myclosure\n", "\n", "def make_keras_model(**kwargs):\n", " # make a function that takes hidden layer sizes kwarg and returns estimator of correct layer sizes\n", " build_fn = make_build(kwargs['hidden_layer_sizes'])\n", "\n", " keras_estimator = KerasRegressor(build_fn=build_fn, \n", " epochs=500, \n", " batch_size=32, \n", " verbose=0)\n", " return keras_estimator\n", " " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This is the format of your plot grid:\n", "[ (1,1) x1,y1 ] [ (1,2) x2,y2 ] [ (1,3) x3,y3 ] [ (1,4) x4,y4 ] \n", "[ (2,1) x5,y5 ] [ (2,2) x6,y6 ] [ (2,3) x7,y7 ] [ (2,4) x8,y8 ] \n", "[ (3,1) x9,y9 ] [ (3,2) x10,y10 ] [ (3,3) x11,y11 ] [ (3,4) x12,y12 ]\n", "[ (4,1) x13,y13 ] [ (4,2) x14,y14 ] [ (4,3) x15,y15 ] [ (4,4) x16,y16 ]\n", "\n", "Layer 1 units: 1, Layer 2 units 1:\n", "Running experiment 1 of 16 : 1 1\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_4 (Dense) (None, 1) 2 \n", "_________________________________________________________________\n", "dense_5 (Dense) (None, 1) 2 \n", "_________________________________________________________________\n", "dense_6 (Dense) (None, 1) 2 \n", "=================================================================\n", "Total params: 6\n", "Trainable params: 6\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.4519322147661302\n", "11:02:40 Train MSE: 0.4519322147661302\n", "11:02:40 Train R-squared: 0.359208\n", "Layer 1 units: 1, Layer 2 units 2:\n", "Running experiment 2 of 16 : 1 2\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_7 (Dense) (None, 1) 2 \n", "_________________________________________________________________\n", "dense_8 (Dense) (None, 2) 4 \n", "_________________________________________________________________\n", "dense_9 (Dense) (None, 1) 3 \n", "=================================================================\n", "Total params: 9\n", "Trainable params: 9\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.45160741952506867\n", "11:04:51 Train MSE: 0.45160741952506867\n", "11:04:51 Train R-squared: 0.359669\n", "Layer 1 units: 1, Layer 2 units 4:\n", "Running experiment 3 of 16 : 1 4\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_10 (Dense) (None, 1) 2 \n", "_________________________________________________________________\n", "dense_11 (Dense) (None, 4) 8 \n", "_________________________________________________________________\n", "dense_12 (Dense) (None, 1) 5 \n", "=================================================================\n", "Total params: 15\n", "Trainable params: 15\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.7053004490393621\n", "11:07:17 Train MSE: 0.7053004490393621\n", "11:07:17 Train R-squared: -0.000041\n", "Layer 1 units: 1, Layer 2 units 8:\n", "Running experiment 4 of 16 : 1 8\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_13 (Dense) (None, 1) 2 \n", "_________________________________________________________________\n", "dense_14 (Dense) (None, 8) 16 \n", "_________________________________________________________________\n", "dense_15 (Dense) (None, 1) 9 \n", "=================================================================\n", "Total params: 27\n", "Trainable params: 27\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.4510370600120921\n", "11:09:26 Train MSE: 0.4510370600120921\n", "11:09:26 Train R-squared: 0.360477\n", "Layer 1 units: 2, Layer 2 units 1:\n", "Running experiment 5 of 16 : 2 1\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_16 (Dense) (None, 2) 4 \n", "_________________________________________________________________\n", "dense_17 (Dense) (None, 1) 3 \n", "_________________________________________________________________\n", "dense_18 (Dense) (None, 1) 2 \n", "=================================================================\n", "Total params: 9\n", "Trainable params: 9\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.45114841289054414\n", "11:11:41 Train MSE: 0.45114841289054414\n", "11:11:41 Train R-squared: 0.360320\n", "Layer 1 units: 2, Layer 2 units 2:\n", "Running experiment 6 of 16 : 2 2\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_19 (Dense) (None, 2) 4 \n", "_________________________________________________________________\n", "dense_20 (Dense) (None, 2) 6 \n", "_________________________________________________________________\n", "dense_21 (Dense) (None, 1) 3 \n", "=================================================================\n", "Total params: 13\n", "Trainable params: 13\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.06812825100574675\n", "11:14:05 Train MSE: 0.06812825100574675\n", "11:14:05 Train R-squared: 0.903401\n", "Layer 1 units: 2, Layer 2 units 4:\n", "Running experiment 7 of 16 : 2 4\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_22 (Dense) (None, 2) 4 \n", "_________________________________________________________________\n", "dense_23 (Dense) (None, 4) 12 \n", "_________________________________________________________________\n", "dense_24 (Dense) (None, 1) 5 \n", "=================================================================\n", "Total params: 21\n", "Trainable params: 21\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.3792664590602151\n", "11:16:15 Train MSE: 0.3792664590602151\n", "11:16:15 Train R-squared: 0.462241\n", "Layer 1 units: 2, Layer 2 units 8:\n", "Running experiment 8 of 16 : 2 8\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_25 (Dense) (None, 2) 4 \n", "_________________________________________________________________\n", "dense_26 (Dense) (None, 8) 24 \n", "_________________________________________________________________\n", "dense_27 (Dense) (None, 1) 9 \n", "=================================================================\n", "Total params: 37\n", "Trainable params: 37\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "0.4000896874315654\n", "11:18:35 Train MSE: 0.4000896874315654\n", "11:18:35 Train R-squared: 0.432715\n", "Layer 1 units: 4, Layer 2 units 1:\n", "Running experiment 9 of 16 : 4 1\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_28 (Dense) (None, 4) 8 \n", "_________________________________________________________________\n", "dense_29 (Dense) (None, 1) 5 \n", "_________________________________________________________________\n", "dense_30 (Dense) (None, 1) 2 \n", "=================================================================\n", "Total params: 15\n", "Trainable params: 15\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.4504766956211491\n", "11:20:56 Train MSE: 0.4504766956211491\n", "11:20:56 Train R-squared: 0.361272\n", "Layer 1 units: 4, Layer 2 units 2:\n", "Running experiment 10 of 16 : 4 2\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_31 (Dense) (None, 4) 8 \n", "_________________________________________________________________\n", "dense_32 (Dense) (None, 2) 10 \n", "_________________________________________________________________\n", "dense_33 (Dense) (None, 1) 3 \n", "=================================================================\n", "Total params: 21\n", "Trainable params: 21\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.06517304845517428\n", "11:23:05 Train MSE: 0.06517304845517428\n", "11:23:05 Train R-squared: 0.907592\n", "Layer 1 units: 4, Layer 2 units 4:\n", "Running experiment 11 of 16 : 4 4\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_34 (Dense) (None, 4) 8 \n", "_________________________________________________________________\n", "dense_35 (Dense) (None, 4) 20 \n", "_________________________________________________________________\n", "dense_36 (Dense) (None, 1) 5 \n", "=================================================================\n", "Total params: 33\n", "Trainable params: 33\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.08572741041763401\n", "11:25:31 Train MSE: 0.08572741041763401\n", "11:25:31 Train R-squared: 0.878448\n", "Layer 1 units: 4, Layer 2 units 8:\n", "Running experiment 12 of 16 : 4 8\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_37 (Dense) (None, 4) 8 \n", "_________________________________________________________________\n", "dense_38 (Dense) (None, 8) 40 \n", "_________________________________________________________________\n", "dense_39 (Dense) (None, 1) 9 \n", "=================================================================\n", "Total params: 57\n", "Trainable params: 57\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.07093969956793557\n", "11:27:46 Train MSE: 0.07093969956793557\n", "11:27:46 Train R-squared: 0.899415\n", "Layer 1 units: 8, Layer 2 units 1:\n", "Running experiment 13 of 16 : 8 1\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_40 (Dense) (None, 8) 16 \n", "_________________________________________________________________\n", "dense_41 (Dense) (None, 1) 9 \n", "_________________________________________________________________\n", "dense_42 (Dense) (None, 1) 2 \n", "=================================================================\n", "Total params: 27\n", "Trainable params: 27\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.06676349956404776\n", "11:29:59 Train MSE: 0.06676349956404776\n", "11:29:59 Train R-squared: 0.905336\n", "Layer 1 units: 8, Layer 2 units 2:\n", "Running experiment 14 of 16 : 8 2\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_43 (Dense) (None, 8) 16 \n", "_________________________________________________________________\n", "dense_44 (Dense) (None, 2) 18 \n", "_________________________________________________________________\n", "dense_45 (Dense) (None, 1) 3 \n", "=================================================================\n", "Total params: 37\n", "Trainable params: 37\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.06960820754959089\n", "11:32:26 Train MSE: 0.06960820754959089\n", "11:32:26 Train R-squared: 0.901303\n", "Layer 1 units: 8, Layer 2 units 4:\n", "Running experiment 15 of 16 : 8 4\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_46 (Dense) (None, 8) 16 \n", "_________________________________________________________________\n", "dense_47 (Dense) (None, 4) 36 \n", "_________________________________________________________________\n", "dense_48 (Dense) (None, 1) 5 \n", "=================================================================\n", "Total params: 57\n", "Trainable params: 57\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.06459001586471468\n", "11:34:40 Train MSE: 0.06459001586471468\n", "11:34:40 Train R-squared: 0.908418\n", "Layer 1 units: 8, Layer 2 units 8:\n", "Running experiment 16 of 16 : 8 8\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "main_input (InputLayer) (None, 1) 0 \n", "_________________________________________________________________\n", "dense_49 (Dense) (None, 8) 16 \n", "_________________________________________________________________\n", "dense_50 (Dense) (None, 8) 72 \n", "_________________________________________________________________\n", "dense_51 (Dense) (None, 1) 9 \n", "=================================================================\n", "Total params: 97\n", "Trainable params: 97\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n", "0.06490714871662286\n", "11:36:52 Train MSE: 0.06490714871662286\n", "11:36:52 Train R-squared: 0.907969\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "data": [ { "marker": { "size": 2 }, "mode": "markers", "name": "fit", "type": "scatter", "x": [ 0, 0.004714746353561471, 0.009429492707122941, 0.014144239060684412, 0.018858985414245882, 0.023573731767807353, 0.028288478121368824, 0.033003224474930294, 0.037717970828491765, 0.042432717182053235, 0.047147463535614706, 0.051862209889176177, 0.05657695624273765, 0.06129170259629912, 0.06600644894986059, 0.07072119530342205, 0.07543594165698353, 0.08015068801054501, 0.08486543436410647, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_grid(make_keras_model, layer1_sizes, layer2_sizes, x, y)\n", "# works but not as conistently as expected\n", "# expected all to work well but show increasing degrees of freedom\n", "# takeaway: feedforward NN a bit hinky for regression" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameters currently in use:\n", "\n", "{'bootstrap': True,\n", " 'criterion': 'mse',\n", " 'max_depth': None,\n", " 'max_features': 'auto',\n", " 'max_leaf_nodes': None,\n", " 'min_impurity_decrease': 0.0,\n", " 'min_impurity_split': None,\n", " 'min_samples_leaf': 1,\n", " 'min_samples_split': 2,\n", " 'min_weight_fraction_leaf': 0.0,\n", " 'n_estimators': 10,\n", " 'n_jobs': 1,\n", " 'oob_score': False,\n", " 'random_state': 42,\n", " 'verbose': 0,\n", " 'warm_start': False}\n", "Search grid:\n", "{'bootstrap': [True, False],\n", " 'max_depth': [10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, None],\n", " 'max_features': ['auto', 'sqrt'],\n", " 'min_samples_leaf': [1, 2, 4],\n", " 'min_samples_split': [2, 5, 10],\n", " 'n_estimators': [200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000]}\n" ] } ], "source": [ "# try RandomForestRegressor\n", "from sklearn.ensemble import RandomForestRegressor\n", "from sklearn.model_selection import RandomizedSearchCV\n", "\n", "rf = RandomForestRegressor(random_state = 42)\n", "from pprint import pprint\n", "# Look at parameters used by our current forest\n", "print('Parameters currently in use:\\n')\n", "pprint(rf.get_params())\n", "\n", "# First 2 are most important\n", "# Number of trees in random forest\n", "n_estimators = [int(a) for a in np.linspace(start = 200, stop = 2000, num = 10)]\n", "# Number of features to consider at every split\n", "max_features = ['auto', 'sqrt']\n", "# Maximum number of levels in tree\n", "max_depth = [int(a) for a in np.linspace(10, 110, num = 11)]\n", "max_depth.append(None)\n", "# Minimum number of samples required to split a node\n", "min_samples_split = [2, 5, 10]\n", "# Minimum number of samples required at each leaf node\n", "min_samples_leaf = [1, 2, 4]\n", "# Method of selecting samples for training each tree\n", "bootstrap = [True, False]\n", "\n", "# Create the random grid\n", "print(\"Search grid:\")\n", "random_grid = {'n_estimators': n_estimators,\n", " 'max_features': max_features,\n", " 'max_depth': max_depth,\n", " 'min_samples_split': min_samples_split,\n", " 'min_samples_leaf': min_samples_leaf,\n", " 'bootstrap': bootstrap}\n", "pprint(random_grid)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 200., 400., 600., 800., 1000., 1200., 1400., 1600., 1800.,\n", " 2000.])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linspace(start = 200, stop = 2000, num = 10)" ] }, { "cell_type": "code", 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" ], "text/vnd.plotly.v1+html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rf = RandomForestRegressor()\n", "rf.fit(x, y)\n", "z = rf.predict(x)\n", "mychart(x, y, z)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitting 3 folds for each of 100 candidates, totalling 300 fits\n", "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=400, max_features=sqrt, min_samples_split=5, max_depth=30 \n", "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=400, max_features=sqrt, min_samples_split=5, max_depth=30, total= 0.7s\n", "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=400, max_features=sqrt, min_samples_split=5, max_depth=30 \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 0.7s remaining: 0.0s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=400, 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total= 1.1s\n", "[CV] bootstrap=False, min_samples_leaf=2, n_estimators=600, max_features=auto, min_samples_split=5, max_depth=70 \n", "[CV] bootstrap=False, min_samples_leaf=2, n_estimators=600, max_features=auto, min_samples_split=5, max_depth=70, total= 1.0s\n", "[CV] bootstrap=False, min_samples_leaf=2, n_estimators=600, max_features=auto, min_samples_split=5, max_depth=70 \n", "[CV] bootstrap=False, min_samples_leaf=2, n_estimators=600, max_features=auto, min_samples_split=5, max_depth=70, total= 1.0s\n", "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=1000, max_features=sqrt, min_samples_split=2, max_depth=20 \n", "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=1000, max_features=sqrt, min_samples_split=2, max_depth=20, total= 1.8s\n", "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=1000, max_features=sqrt, min_samples_split=2, max_depth=20 \n", "[CV] bootstrap=True, min_samples_leaf=1, n_estimators=1000, max_features=sqrt, min_samples_split=2, max_depth=20, 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min_samples_split=10, max_depth=30, total= 3.3s\n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1800, max_features=sqrt, min_samples_split=10, max_depth=30 \n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1800, max_features=sqrt, min_samples_split=10, max_depth=30, total= 2.9s\n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1800, max_features=sqrt, min_samples_split=10, max_depth=30 \n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1800, max_features=sqrt, min_samples_split=10, max_depth=30, total= 3.0s\n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1600, max_features=sqrt, min_samples_split=5, max_depth=70 \n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1600, max_features=sqrt, min_samples_split=5, max_depth=70, total= 2.8s\n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1600, max_features=sqrt, min_samples_split=5, max_depth=70 \n", "[CV] bootstrap=False, min_samples_leaf=1, n_estimators=1600, 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"[CV] bootstrap=True, min_samples_leaf=2, n_estimators=1000, max_features=sqrt, min_samples_split=2, max_depth=60, total= 1.4s\n", "[CV] bootstrap=True, min_samples_leaf=4, n_estimators=200, max_features=auto, min_samples_split=5, max_depth=10 \n", "[CV] bootstrap=True, min_samples_leaf=4, n_estimators=200, max_features=auto, min_samples_split=5, max_depth=10, total= 0.3s\n", "[CV] bootstrap=True, min_samples_leaf=4, n_estimators=200, max_features=auto, min_samples_split=5, max_depth=10 \n", "[CV] bootstrap=True, min_samples_leaf=4, n_estimators=200, max_features=auto, min_samples_split=5, max_depth=10, total= 0.3s\n", "[CV] bootstrap=True, min_samples_leaf=4, n_estimators=200, max_features=auto, min_samples_split=5, max_depth=10 \n", "[CV] bootstrap=True, min_samples_leaf=4, n_estimators=200, max_features=auto, min_samples_split=5, max_depth=10, total= 0.3s\n", "[CV] bootstrap=True, min_samples_leaf=2, n_estimators=600, max_features=sqrt, min_samples_split=10, max_depth=60 \n", "[CV] 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"stderr", "output_type": "stream", "text": [ "[Parallel(n_jobs=1)]: Done 300 out of 300 | elapsed: 9.4min finished\n" ] }, { "data": { "text/plain": [ "RandomizedSearchCV(cv=3, error_score='raise',\n", " estimator=RandomForestRegressor(bootstrap=True, criterion='mse', max_depth=None,\n", " max_features='auto', max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=10, n_jobs=1,\n", " oob_score=False, random_state=None, verbose=0, warm_start=False),\n", " fit_params=None, iid=True, n_iter=100, n_jobs=1,\n", " param_distributions={'bootstrap': [True, False], 'min_samples_leaf': [1, 2, 4], 'n_estimators': [200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000], 'min_samples_split': [2, 5, 10], 'max_features': ['auto', 'sqrt'], 'max_depth': [10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, None]},\n", " pre_dispatch='2*n_jobs', random_state=42, refit=True,\n", " return_train_score='warn', scoring=None, verbose=2)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Use the random grid to search for best hyperparameters\n", "# First create the base model to tune\n", "rf = RandomForestRegressor()\n", "# Random search of parameters, using 3 fold cross validation, \n", "# search across 100 different combinations, and use all available cores\n", "rf_random = RandomizedSearchCV(estimator = rf, \n", " param_distributions = random_grid, \n", " n_iter = 100, \n", " cv = 3, verbose=2, \n", " random_state=42, \n", " n_jobs = 1)\n", "# Fit the random search model\n", "rf_random.fit(x, y)\n", "\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'bootstrap': False,\n", " 'max_depth': 10,\n", " 'max_features': 'sqrt',\n", " 'min_samples_leaf': 2,\n", " 'min_samples_split': 5,\n", " 'n_estimators': 1200}" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rf_random.best_params_" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "mode": "markers", "type": "scatter", "x": [ 0, 0.004714746353561471, 0.009429492707122941, 0.014144239060684412, 0.018858985414245882, 0.023573731767807353, 0.028288478121368824, 0.033003224474930294, 0.037717970828491765, 0.042432717182053235, 0.047147463535614706, 0.051862209889176177, 0.05657695624273765, 0.06129170259629912, 0.06600644894986059, 0.07072119530342205, 0.07543594165698353, 0.08015068801054501, 0.08486543436410647, 0.08958018071766793, 0.09429492707122941, 0.09900967342479089, 0.10372441977835235, 0.10843916613191382, 0.1131539124854753, 0.11786865883903677, 0.12258340519259824, 0.1272981515461597, 0.13201289789972118, 0.13672764425328265, 0.1414423906068441, 0.14615713696040558, 0.15087188331396706, 0.15558662966752854, 0.16030137602109001, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rf = RandomForestRegressor(bootstrap=False,\n", " n_estimators=1200,\n", " max_features='sqrt',\n", " max_depth=10,\n", " min_samples_leaf=2,\n", " min_samples_split=5,\n", " )\n", "rf.fit(x, y)\n", "z = rf.predict(x)\n", "mychart(x, y, z)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "mode": "markers", "type": "scatter", "x": [ 0, 0.004714746353561471, 0.009429492707122941, 0.014144239060684412, 0.018858985414245882, 0.023573731767807353, 0.028288478121368824, 0.033003224474930294, 0.037717970828491765, 0.042432717182053235, 0.047147463535614706, 0.051862209889176177, 0.05657695624273765, 0.06129170259629912, 0.06600644894986059, 0.07072119530342205, 0.07543594165698353, 0.08015068801054501, 0.08486543436410647, 0.08958018071766793, 0.09429492707122941, 0.09900967342479089, 0.10372441977835235, 0.10843916613191382, 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np.mean(np.array(errors))\n", "\n", "print(spline_cv_test(49.856))\n", "for sf in np.linspace(10, 110, num=101):\n", " print(sf, spline_cv_test(sf))\n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'colsample_bytree': 0.6,\n", " 'gamma': 3.0,\n", " 'learning_rate': 0.05,\n", " 'max_depth': 64,\n", " 'min_child_weight': 90,\n", " 'n_estimators': 10,\n", " 'reg_alpha': 100,\n", " 'subsample': 0.99}" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from xgboost import XGBRegressor\n", "from sklearn.model_selection import RandomizedSearchCV\n", "\n", "import scipy.stats as st\n", "\n", "xgbreg = XGBRegressor(nthreads=1) \n", "\n", "one_to_left = st.beta(10, 1) \n", "from_zero_positive = st.expon(0, 50)\n", "\n", "param_grid = {\n", " 'silent': [False],\n", " 'max_depth': [6, 10, 15, 20],\n", " 'learning_rate': [0.001, 0.01, 0.1, 0.2, 0,3],\n", " 'subsample': [0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n", " 'colsample_bytree': [0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n", " 'colsample_bylevel': [0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n", " 'min_child_weight': [0.5, 1.0, 3.0, 5.0, 7.0, 10.0],\n", " 'gamma': [0, 0.25, 0.5, 1.0],\n", " 'reg_lambda': [0.1, 1.0, 5.0, 10.0, 50.0, 100.0],\n", " 'n_estimators': [100]}\n", "\n", "params = { \n", " \"n_estimators\": [10, 20, 40, 80, 160, 320, 640],\n", " \"max_depth\": [4, 8, 16, 32, 64, 128],\n", " \"learning_rate\": [0.05, 0.10, 0.15, 0.20, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50],\n", " \"colsample_bytree\": [1.0, 0.99, 0.95, 0.90, 0.85, 0.80, 0.60],\n", " \"subsample\": [1.0, 0.99, 0.95, 0.90, 0.85, 0.80, 0.60],\n", " \"gamma\": [0, 1.0, 1.5, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0],\n", " 'reg_alpha': [10, 20, 30, 40, 50, 60, 70, 80, 90, 100],\n", " \"min_child_weight\": [10, 20, 30, 40, 50, 60, 70, 80, 90, 100],\n", "}\n", "\n", "gs = RandomizedSearchCV(xgbreg, params, n_jobs=1) \n", "gs.fit(x, y) \n", "gs.best_params_\n" ] }, { 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xgbreg = XGBRegressor(nthreads=1,\n", " colsample_bytree=0.6,\n", " gamma=3.0,\n", " learning_rate=0.05,\n", " max_depth=64,\n", " min_child_weight=90,\n", " n_estimators=10,\n", " reg_alpha=100,\n", " subsample=0.99)\n", "\n", "xgbreg.fit(x, y)\n", "z = xgbreg.predict(x)\n", "mychart(x, y, z) \n", " " ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "#LSTM/GRU\n", "def generator_factory(data, # Xs \n", " lookback, # sequence length\n", " min_index=0, # start index\n", " max_index=None, # max index for e.g. train/xval/text, if None use all of X\n", " shuffle=False, # if True, just repeatedly sample randomly\n", " batch_size=128): # how many (predictors, responses) tuples to generate\n", " \n", " if max_index == None:\n", " max_index = data.shape[0] - 2 # last row of predictors that has a y to predict\n", "\n", " first_row = min_index + lookback # first row of responses to return\n", " i = first_row\n", " while True: # keep generating forever\n", " if shuffle: # pick rows at random\n", " rows = np.random.choice(range(first_row,max_index), size=batch_size, replace=False)\n", " else:\n", " if i + batch_size >= max_index: # start from beginning\n", " i = first_row\n", " rows = np.arange(i, i + batch_size)\n", " \n", " predictors = np.zeros((len(rows), lookback, data.shape[-1]))\n", " responses = np.zeros((len(rows), data.shape[-1]))\n", " \n", " for j, row in enumerate(rows):\n", " indices = range(rows[j] - lookback, rows[j])\n", " predictors[j] = data[indices]\n", " responses[j] = data[rows[j]]\n", "\n", " yield predictors, [responses[:,0], responses[:,1]]\n", " \n", " \n", " \n", " " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([[[ 0.06066273, -0.5962953 ],\n", " [ 0.0154961 , -0.97396613],\n", " [ 0.29961459, -0.72818719],\n", " [ 0.26859928, -1.18538647],\n", " [-0.46767877, 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-0.90433275],\n", " [-0.24633775, -0.50097024],\n", " [-0.10660787, -1.11483104]],\n", " \n", " [[-0.14780634, -1.15089659],\n", " [-0.52769753, -0.65231528],\n", " [-0.67783355, -0.93284959],\n", " [-0.25965463, -0.66408584],\n", " [-0.21045462, -1.04332307],\n", " [-0.34603607, -0.8710234 ],\n", " [-0.11911523, -0.90433275],\n", " [-0.24633775, -0.50097024],\n", " [-0.10660787, -1.11483104],\n", " [-0.79584369, -0.71976902]]]),\n", " [array([-0.33741347, -0.10820698, 0.09578219, -0.40179584, -0.26829727,\n", " -0.14780634, -0.52769753, -0.67783355, -0.25965463, -0.21045462,\n", " -0.34603607, -0.11911523, -0.24633775, -0.10660787, -0.79584369,\n", " -0.35641191]),\n", " array([-1.28745857, -0.84829179, -1.10095065, -1.13244153, -0.63113494,\n", " -1.15089659, -0.65231528, -0.93284959, -0.66408584, -1.04332307,\n", " -0.8710234 , -0.90433275, -0.50097024, -1.11483104, -0.71976902,\n", " -1.03635705])])" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y2 = y2.reshape(y2.shape[0],1)\n", "y1 = y1.reshape(y1.shape[0],1)\n", "X = np.hstack((y1,y2))\n", "X.shape\n", "\n", "mygen = generator_factory(X, 10, batch_size=16)\n", "next(mygen)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "\n", "OUTPUT_DIM = 2\n", "\n", "def build_model(hidden_layers = [[16, 0.0001, 0.2], \n", " [16, 0.0001, 0.2], \n", " [1, 0.0, 0.0]]):\n", " \"\"\"Take list of [layer_size, reg_penalty, dropout], last layer is linear, rest LSTM\"\"\"\n", "\n", " main_input = Input(shape=(None, \n", " OUTPUT_DIM), \n", " dtype='float32', \n", " name='main_input')\n", " lastlayer=main_input\n", "\n", " n_lstms = len(hidden_layers)-1\n", " for i in range(n_lstms):\n", " layer_size, reg_penalty, dropout = hidden_layers[i]\n", " # first n-1 layers are LSTM, return_sequences=True\n", " return_sequences = True\n", " if i == n_lstms-1:\n", " return_sequences= False\n", " LSTM_layer = GRU(layer_size, \n", " return_sequences=return_sequences,\n", " kernel_regularizer=keras.regularizers.l1(reg_penalty),\n", " dropout=dropout, \n", " recurrent_dropout=dropout,\n", " name = \"GRU%02d\" % i\n", " )(lastlayer)\n", " lastlayer = LSTM_layer\n", " \n", " layer_size, reg_penalty, dropout = hidden_layers[-1]\n", " if dropout:\n", " lastlayer = Dropout(dropout)(lastlayer)\n", " \n", " outputs = []\n", " for i in range(OUTPUT_DIM):\n", " # OUTPUT_DIM outputs\n", " output01 = Dense(1, \n", " activation='linear', \n", " kernel_regularizer=keras.regularizers.l1(reg_penalty),\n", " name='output%02d' % i)(lastlayer)\n", " outputs.append(output01)\n", " \n", " model = Model(inputs=[main_input], outputs=outputs)\n", " print(model.summary())\n", " model.compile(loss=\"mae\", metrics=['mae'], optimizer=\"rmsprop\", loss_weights=[1.]*OUTPUT_DIM)\n", " return model" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "__________________________________________________________________________________________________\n", "Layer (type) Output Shape Param # Connected to \n", "==================================================================================================\n", "main_input (InputLayer) (None, None, 2) 0 \n", "__________________________________________________________________________________________________\n", "GRU00 (GRU) (None, None, 16) 912 main_input[0][0] \n", "__________________________________________________________________________________________________\n", "GRU01 (GRU) (None, 16) 1584 GRU00[0][0] \n", "__________________________________________________________________________________________________\n", "output00 (Dense) (None, 1) 17 GRU01[0][0] \n", "__________________________________________________________________________________________________\n", "output01 (Dense) (None, 1) 17 GRU01[0][0] \n", "==================================================================================================\n", "Total params: 2,530\n", "Trainable params: 2,530\n", "Non-trainable params: 0\n", "__________________________________________________________________________________________________\n", "None\n" ] } ], "source": [ "model = build_model()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/40\n", "32/32 [==============================] - 11s 346ms/step - loss: 3.7321 - output00_loss: 1.8919 - output01_loss: 1.8273 - output00_mean_absolute_error: 1.8919 - output01_mean_absolute_error: 1.8273\n", "Epoch 2/40\n", "32/32 [==============================] - 10s 326ms/step - loss: 2.0985 - output00_loss: 1.0409 - output01_loss: 1.0450 - output00_mean_absolute_error: 1.0409 - output01_mean_absolute_error: 1.0450\n", "Epoch 3/40\n", "32/32 [==============================] - 10s 324ms/step - loss: 1.8702 - output00_loss: 0.9141 - output01_loss: 0.9439 - output00_mean_absolute_error: 0.9141 - output01_mean_absolute_error: 0.9439\n", "Epoch 4/40\n", "32/32 [==============================] - 10s 324ms/step - loss: 1.7142 - output00_loss: 0.8325 - output01_loss: 0.8698 - output00_mean_absolute_error: 0.8325 - output01_mean_absolute_error: 0.8698\n", "Epoch 5/40\n", "32/32 [==============================] - 10s 320ms/step - loss: 1.6417 - output00_loss: 0.7942 - output01_loss: 0.8359 - output00_mean_absolute_error: 0.7942 - output01_mean_absolute_error: 0.8359\n", "Epoch 6/40\n", "32/32 [==============================] - 10s 323ms/step - loss: 1.5260 - output00_loss: 0.7415 - output01_loss: 0.7731 - output00_mean_absolute_error: 0.7415 - output01_mean_absolute_error: 0.7731\n", "Epoch 7/40\n", "32/32 [==============================] - 10s 313ms/step - loss: 1.4786 - output00_loss: 0.7208 - output01_loss: 0.7465 - output00_mean_absolute_error: 0.7208 - output01_mean_absolute_error: 0.7465\n", "Epoch 8/40\n", "32/32 [==============================] - 10s 313ms/step - loss: 1.3636 - output00_loss: 0.6567 - output01_loss: 0.6957 - output00_mean_absolute_error: 0.6567 - output01_mean_absolute_error: 0.6957\n", "Epoch 9/40\n", "32/32 [==============================] - 10s 314ms/step - loss: 1.3350 - output00_loss: 0.6556 - output01_loss: 0.6684 - output00_mean_absolute_error: 0.6556 - output01_mean_absolute_error: 0.6684\n", "Epoch 10/40\n", "32/32 [==============================] - 10s 313ms/step - loss: 1.3357 - output00_loss: 0.6492 - output01_loss: 0.6755 - output00_mean_absolute_error: 0.6492 - output01_mean_absolute_error: 0.6755\n", "Epoch 11/40\n", "32/32 [==============================] - 10s 324ms/step - loss: 1.2915 - output00_loss: 0.6241 - output01_loss: 0.6566 - output00_mean_absolute_error: 0.6241 - output01_mean_absolute_error: 0.6566\n", "Epoch 12/40\n", "32/32 [==============================] - 12s 379ms/step - loss: 1.3242 - output00_loss: 0.6344 - output01_loss: 0.6790 - output00_mean_absolute_error: 0.6344 - output01_mean_absolute_error: 0.6790\n", "Epoch 13/40\n", "32/32 [==============================] - 12s 385ms/step - loss: 1.2485 - output00_loss: 0.5992 - output01_loss: 0.6385 - output00_mean_absolute_error: 0.5992 - output01_mean_absolute_error: 0.6385\n", "Epoch 14/40\n", "32/32 [==============================] - 12s 388ms/step - loss: 1.2267 - output00_loss: 0.5955 - output01_loss: 0.6204 - output00_mean_absolute_error: 0.5955 - output01_mean_absolute_error: 0.6204\n", "Epoch 15/40\n", "32/32 [==============================] - 12s 378ms/step - loss: 1.2452 - output00_loss: 0.6054 - output01_loss: 0.6290 - output00_mean_absolute_error: 0.6054 - output01_mean_absolute_error: 0.6290\n", "Epoch 16/40\n", "32/32 [==============================] - 12s 379ms/step - loss: 1.2232 - output00_loss: 0.5869 - output01_loss: 0.6254 - output00_mean_absolute_error: 0.5869 - output01_mean_absolute_error: 0.6254\n", "Epoch 17/40\n", "32/32 [==============================] - 12s 382ms/step - loss: 1.1922 - output00_loss: 0.5702 - output01_loss: 0.6111 - output00_mean_absolute_error: 0.5702 - output01_mean_absolute_error: 0.6111\n", "Epoch 18/40\n", "32/32 [==============================] - 12s 383ms/step - loss: 1.1964 - output00_loss: 0.5760 - output01_loss: 0.6094 - output00_mean_absolute_error: 0.5760 - output01_mean_absolute_error: 0.6094\n", "Epoch 19/40\n", "32/32 [==============================] - 12s 384ms/step - loss: 1.1761 - output00_loss: 0.5770 - output01_loss: 0.5881 - output00_mean_absolute_error: 0.5770 - output01_mean_absolute_error: 0.5881\n", "Epoch 20/40\n", "32/32 [==============================] - 12s 379ms/step - loss: 1.1678 - output00_loss: 0.5629 - output01_loss: 0.5940 - output00_mean_absolute_error: 0.5629 - output01_mean_absolute_error: 0.5940\n", "Epoch 21/40\n", "32/32 [==============================] - 12s 381ms/step - loss: 1.1443 - output00_loss: 0.5468 - output01_loss: 0.5865 - output00_mean_absolute_error: 0.5468 - output01_mean_absolute_error: 0.5865\n", "Epoch 22/40\n", "32/32 [==============================] - 12s 389ms/step - loss: 1.1685 - output00_loss: 0.5754 - output01_loss: 0.5820 - output00_mean_absolute_error: 0.5754 - output01_mean_absolute_error: 0.5820\n", "Epoch 23/40\n", "32/32 [==============================] - 12s 379ms/step - loss: 1.1917 - output00_loss: 0.5690 - output01_loss: 0.6117 - output00_mean_absolute_error: 0.5690 - output01_mean_absolute_error: 0.6117\n", "Epoch 24/40\n", "32/32 [==============================] - 12s 386ms/step - loss: 1.1651 - output00_loss: 0.5730 - output01_loss: 0.5809 - output00_mean_absolute_error: 0.5730 - output01_mean_absolute_error: 0.5809\n", "Epoch 25/40\n", "32/32 [==============================] - 10s 323ms/step - loss: 1.1103 - output00_loss: 0.5364 - output01_loss: 0.5627 - output00_mean_absolute_error: 0.5364 - output01_mean_absolute_error: 0.5627\n", "Epoch 26/40\n", "32/32 [==============================] - 10s 310ms/step - loss: 1.1416 - output00_loss: 0.5571 - output01_loss: 0.5733 - output00_mean_absolute_error: 0.5571 - output01_mean_absolute_error: 0.5733\n", "Epoch 27/40\n", "32/32 [==============================] - 10s 312ms/step - loss: 1.0820 - output00_loss: 0.5221 - output01_loss: 0.5487 - output00_mean_absolute_error: 0.5221 - output01_mean_absolute_error: 0.5487\n", "Epoch 28/40\n", "32/32 [==============================] - 10s 313ms/step - loss: 1.1204 - output00_loss: 0.5620 - output01_loss: 0.5472 - output00_mean_absolute_error: 0.5620 - output01_mean_absolute_error: 0.5472\n", "Epoch 29/40\n", "32/32 [==============================] - 10s 312ms/step - loss: 1.1241 - output00_loss: 0.5423 - output01_loss: 0.5705 - output00_mean_absolute_error: 0.5423 - output01_mean_absolute_error: 0.5705\n", "Epoch 30/40\n", "32/32 [==============================] - 10s 314ms/step - loss: 1.0786 - output00_loss: 0.5265 - output01_loss: 0.5408 - output00_mean_absolute_error: 0.5265 - output01_mean_absolute_error: 0.5408\n", "Epoch 31/40\n", "32/32 [==============================] - 10s 315ms/step - loss: 1.0626 - output00_loss: 0.5176 - output01_loss: 0.5337 - output00_mean_absolute_error: 0.5176 - output01_mean_absolute_error: 0.5337\n", "Epoch 32/40\n", "32/32 [==============================] - 10s 314ms/step - loss: 1.1126 - output00_loss: 0.5407 - output01_loss: 0.5605 - output00_mean_absolute_error: 0.5407 - output01_mean_absolute_error: 0.5605\n", "Epoch 33/40\n", "32/32 [==============================] - 10s 311ms/step - loss: 1.0792 - output00_loss: 0.5205 - output01_loss: 0.5472 - output00_mean_absolute_error: 0.5205 - output01_mean_absolute_error: 0.5472\n", "Epoch 34/40\n", "32/32 [==============================] - 10s 317ms/step - loss: 1.0806 - output00_loss: 0.5274 - output01_loss: 0.5417 - output00_mean_absolute_error: 0.5274 - output01_mean_absolute_error: 0.5417\n", "Epoch 35/40\n", "32/32 [==============================] - 10s 312ms/step - loss: 1.0872 - output00_loss: 0.5187 - output01_loss: 0.5571 - output00_mean_absolute_error: 0.5187 - output01_mean_absolute_error: 0.5571\n", "Epoch 36/40\n", "32/32 [==============================] - 11s 349ms/step - loss: 1.0806 - output00_loss: 0.5205 - output01_loss: 0.5485 - output00_mean_absolute_error: 0.5205 - output01_mean_absolute_error: 0.5485\n", "Epoch 37/40\n", "32/32 [==============================] - 10s 316ms/step - loss: 1.0773 - output00_loss: 0.5148 - output01_loss: 0.5509 - output00_mean_absolute_error: 0.5148 - output01_mean_absolute_error: 0.5509\n", "Epoch 38/40\n", "32/32 [==============================] - 10s 313ms/step - loss: 1.0587 - output00_loss: 0.5243 - output01_loss: 0.5228 - output00_mean_absolute_error: 0.5243 - output01_mean_absolute_error: 0.5228\n", "Epoch 39/40\n", "32/32 [==============================] - 10s 307ms/step - loss: 1.0545 - output00_loss: 0.5165 - output01_loss: 0.5263 - output00_mean_absolute_error: 0.5165 - output01_mean_absolute_error: 0.5263\n", "Epoch 40/40\n", "32/32 [==============================] - 10s 314ms/step - loss: 1.0867 - output00_loss: 0.5333 - output01_loss: 0.5416 - output00_mean_absolute_error: 0.5333 - output01_mean_absolute_error: 0.5416\n" ] } ], "source": [ "LOOKBACK = 128\n", "BATCH_SIZE = 64\n", "mygen = generator_factory(X, LOOKBACK, batch_size=BATCH_SIZE, shuffle=True)\n", "history = model.fit_generator(mygen,\n", " steps_per_epoch=32,\n", " epochs=40,\n", " )" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([[0.54338735]], dtype=float32), array([[1.1517216]], dtype=float32)]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.predict(X[:128].reshape(1,LOOKBACK,OUTPUT_DIM))" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.25599367, 1.20011222])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X[129]" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "# predict using X\n", "X_pred = np.zeros_like(X)\n", "# copy first 128 rows to X_pred\n", "for i in range(LOOKBACK):\n", " X_pred[i]=X[i]\n", "# forecast remainder of rows using X\n", "for i in range(LOOKBACK, X.shape[0]):\n", " predlist = model.predict(X[i-LOOKBACK:i].reshape(1,LOOKBACK,OUTPUT_DIM))\n", " X_pred[i] = np.array([predlist[0][0][0],predlist[1][0][0]])\n" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.487040\n", "0.512351\n" ] } ], "source": [ "from sklearn.metrics import mean_absolute_error\n", "print(\"%.6f\" % mean_absolute_error(y1, X_pred[:,0]))\n", "print(\"%.6f\" % mean_absolute_error(y2, X_pred[:,1]))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mychart(x2,X_pred[:,0],X_pred[:,1])" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "# predict recursively after bootstrapping first 128 rows of X\n", "X_pred = np.zeros_like(X)\n", "# copy first 128 rows to X_pred\n", "for i in range(LOOKBACK):\n", " X_pred[i]=X[i]\n", "# recursively forecast remainder of rows using X_pred\n", "for i in range(LOOKBACK, X.shape[0]):\n", " predlist = model.predict(X_pred[i-LOOKBACK:i].reshape(1,LOOKBACK,OUTPUT_DIM))\n", " X_pred[i] = np.array([predlist[0][0][0],predlist[1][0][0]])\n" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "mode": "markers", "type": "scatter", "x": [ 0, 0.02357373176780735, 0.0471474635356147, 0.07072119530342205, 0.0942949270712294, 0.11786865883903674, 0.1414423906068441, 0.16501612237465144, 0.1885898541424588, 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