{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# LSTM - Long Short Term Memory\n", "\n", "http://data.is/1bKs2mG \n", "\n", "International airline passengers: monthly totals in thousands. Jan 49 – Dec 60\n", "\n", "After https://machinelearningmastery.com/time-series-prediction-lstm-recurrent-neural-networks-python-keras/" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n", "ConX, version 3.6.0\n" ] } ], "source": [ "import conx as cx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this experiment, we will use the monthly counts of international airline passengers on tickets between 1949 and 1961, in thousands:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data = [112, 118, 132, 129, 121, 135, 148, 148, 136, 119, 104, 118, 115, \n", " 126, 141, 135, 125, 149, 170, 170, 158, 133, 114, 140, 145, 150, \n", " 178, 163, 172, 178, 199, 199, 184, 162, 146, 166, 171, 180, 193, \n", " 181, 183, 218, 230, 242, 209, 191, 172, 194, 196, 196, 236, 235, \n", " 229, 243, 264, 272, 237, 211, 180, 201, 204, 188, 235, 227, 234, \n", " 264, 302, 293, 259, 229, 203, 229, 242, 233, 267, 269, 270, 315, \n", " 364, 347, 312, 274, 237, 278, 284, 277, 317, 313, 318, 374, 413, \n", " 405, 355, 306, 271, 306, 315, 301, 356, 348, 355, 422, 465, 467, \n", " 404, 347, 305, 336, 340, 318, 362, 348, 363, 435, 491, 505, 404, \n", " 359, 310, 337, 360, 342, 406, 396, 420, 472, 548, 559, 463, 407, \n", " 362, 405, 417, 391, 419, 461, 472, 535, 622, 606, 508, 461, 390, \n", " 432]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the data shows a regular, but varying, cyclic pattern:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cx.plot([\"\", data], \n", " title=\"International airline passengers: monthly totals in thousands. Jan 49 – Dec 61\",\n", " xlabel=\"year\", \n", " ylabel=\"counts (thousands)\",\n", " xs=cx.frange(1949, 1961, 1/12))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's scale the counts into the range 0 - 1:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def scale(data):\n", " \"\"\"\n", " Scale data to between 0 and 1\n", " \"\"\"\n", " minv = min(data)\n", " maxv = max(data)\n", " span = maxv - minv\n", " return [(v - minv)/span for v in data]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "scaled_data = scale(data)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cx.plot([\"Scaled Data\", scaled_data])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For our dataset, we will contruct a history sequence. First, we need to put each scaled value into a list. This is the list of *features*. In our case, we just have the one feature:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "sequence = [[datum] for datum in scaled_data]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We wish that the inputs -> targets are constructed as follows:\n", "\n", "1. [S0] -> S1\n", "2. [S1] -> S2\n", "3. ...\n", "\n", "where Sn is a list of features in the sequence." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to inform the network of the shape of the sequence. We need the:\n", "\n", "* time_steps - the length of the history\n", "* batch_size - how many vectors are the inputs composed of?\n", "* features - the length of each input bank vector" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "time_steps = 1 # history\n", "batch_size = 1 # how many to load at once\n", "features = 1 # features (length of input vector)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def create_dataset(sequence, time_steps):\n", " dataset = []\n", " for i in range(len(sequence)-time_steps-1):\n", " dataset.append([sequence[i:(i+time_steps)], \n", " sequence[i + time_steps]])\n", " return dataset" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "dataset = create_dataset(sequence, time_steps)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[[0.015444015444015444]], [0.02702702702702703]]\n", "[[[0.02702702702702703]], [0.05405405405405406]]\n" ] } ], "source": [ "print(dataset[0])\n", "print(dataset[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we construct the network giving the batch_shape in terms of (look_back, banks, width):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "net = cx.Network(\"LSTM\")\n", "net.add(cx.Layer(\"input\", features, batch_shape=(batch_size, time_steps, features)))\n", "net.add(cx.LSTMLayer(\"lstm\", 4)) \n", "net.add(cx.Layer(\"output\", 1))\n", "net.connect()\n", "net.compile(error=\"mse\", optimizer=\"adam\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "net.dataset.load(dataset)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6d69c1267c464210a1c70e9ed5b06c5e", "version_major": 2, "version_minor": 0 }, "text/html": [ "

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

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', layout=Layout(justify_content='center', overflow_x='auto', overflow_y='auto', width='95%')), Output()))" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dash = net.dashboard()\n", "dash" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "net.dataset.split(.33)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0.127245232462883]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dash.propagate([[1]])" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "outputs = [net.propagate(i) for i in net.dataset.inputs]\n", "cx.plot([[\"Network\", outputs], [\"Training data\", net.dataset.targets]])" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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"metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "========================================================\n", " | Training | Training | Validate | Validate \n", "Epochs | Error | Accuracy | Error | Accuracy \n", "------ | --------- | --------- | --------- | --------- \n", "# 100 | 0.00200 | 0.97895 | 0.00900 | 0.72340 \n", "Saving network... Saved!\n" ] } ], "source": [ "if net.saved():\n", " net.load()\n", " net.plot_results()\n", "else:\n", " net.train(100, batch_size=batch_size, shuffle=False, save=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "outputs = [net.propagate(i) for i in net.dataset.inputs]\n", "plot([[\"Network output\", outputs], [\"Training data\", net.dataset.targets]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**NOTE**: Even though the above plot of the Network output appears to closely track the Training data, don't be fooled! As can be seen in the accuracy plot after training, the trained network has about 70% accuracy. Why does it look so good in the plot? Take a moment to consider how it can look so good, and yet be so bad." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LSTM with Window" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "time_steps = 3" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "dataset = create_dataset(sequence, time_steps)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[[0.015444015444015444], [0.02702702702702703], [0.05405405405405406]], [0.04826254826254826]]\n", "[[[0.02702702702702703], [0.05405405405405406], [0.04826254826254826]], [0.032818532818532815]]\n" ] } ], "source": [ "print(dataset[0])\n", "print(dataset[1])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "net2 = cx.Network(\"LSTM with Window\")\n", "net2.add(cx.Layer(\"input\", features, batch_shape=(batch_size, time_steps, features)))\n", "net2.add(cx.LSTMLayer(\"lstm\", 4)) \n", "net2.add(cx.Layer(\"output\", 1))\n", "net2.connect()\n", "net2.compile(error=\"mse\", optimizer=\"adam\")" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "net2.dataset.load(dataset)\n", "net2.dataset.split(.33)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e703af507b47477fad3a2e193bfe9c58", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type Dashboard.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "Dashboard(children=(Accordion(children=(HBox(children=(VBox(children=(Select(description='Dataset:', index=1, options=('Test', 'Train'), rows=1, value='Train'), FloatSlider(value=0.5, continuous_update=False, description='Zoom', layout=Layout(width='65%'), max=1.0, style=SliderStyle(description_width='initial')), IntText(value=150, description='Horizontal space between banks:', style=DescriptionStyle(description_width='initial')), IntText(value=30, description='Vertical space between layers:', style=DescriptionStyle(description_width='initial')), HBox(children=(Checkbox(value=False, description='Show Targets', style=DescriptionStyle(description_width='initial')), Checkbox(value=False, description='Errors', style=DescriptionStyle(description_width='initial')))), Select(description='Features:', options=('',), rows=1, value=''), IntText(value=3, description='Feature columns:', style=DescriptionStyle(description_width='initial')), FloatText(value=1.0, description='Feature scale:', style=DescriptionStyle(description_width='initial'))), layout=Layout(width='100%')), VBox(children=(Select(description='Layer:', index=2, options=('input', 'lstm', 'output'), rows=1, value='output'), Checkbox(value=True, description='Visible'), Select(description='Colormap:', options=('', 'Accent', 'Accent_r', 'Blues', 'Blues_r', 'BrBG', 'BrBG_r', 'BuGn', 'BuGn_r', 'BuPu', 'BuPu_r', 'CMRmap', 'CMRmap_r', 'Dark2', 'Dark2_r', 'GnBu', 'GnBu_r', 'Greens', 'Greens_r', 'Greys', 'Greys_r', 'OrRd', 'OrRd_r', 'Oranges', 'Oranges_r', 'PRGn', 'PRGn_r', 'Paired', 'Paired_r', 'Pastel1', 'Pastel1_r', 'Pastel2', 'Pastel2_r', 'PiYG', 'PiYG_r', 'PuBu', 'PuBuGn', 'PuBuGn_r', 'PuBu_r', 'PuOr', 'PuOr_r', 'PuRd', 'PuRd_r', 'Purples', 'Purples_r', 'RdBu', 'RdBu_r', 'RdGy', 'RdGy_r', 'RdPu', 'RdPu_r', 'RdYlBu', 'RdYlBu_r', 'RdYlGn', 'RdYlGn_r', 'Reds', 'Reds_r', 'Set1', 'Set1_r', 'Set2', 'Set2_r', 'Set3', 'Set3_r', 'Spectral', 'Spectral_r', 'Vega10', 'Vega10_r', 'Vega20', 'Vega20_r', 'Vega20b', 'Vega20b_r', 'Vega20c', 'Vega20c_r', 'Wistia', 'Wistia_r', 'YlGn', 'YlGnBu', 'YlGnBu_r', 'YlGn_r', 'YlOrBr', 'YlOrBr_r', 'YlOrRd', 'YlOrRd_r', 'afmhot', 'afmhot_r', 'autumn', 'autumn_r', 'binary', 'binary_r', 'bone', 'bone_r', 'brg', 'brg_r', 'bwr', 'bwr_r', 'cool', 'cool_r', 'coolwarm', 'coolwarm_r', 'copper', 'copper_r', 'cubehelix', 'cubehelix_r', 'flag', 'flag_r', 'gist_earth', 'gist_earth_r', 'gist_gray', 'gist_gray_r', 'gist_heat', 'gist_heat_r', 'gist_ncar', 'gist_ncar_r', 'gist_rainbow', 'gist_rainbow_r', 'gist_stern', 'gist_stern_r', 'gist_yarg', 'gist_yarg_r', 'gnuplot', 'gnuplot2', 'gnuplot2_r', 'gnuplot_r', 'gray', 'gray_r', 'hot', 'hot_r', 'hsv', 'hsv_r', 'inferno', 'inferno_r', 'jet', 'jet_r', 'magma', 'magma_r', 'nipy_spectral', 'nipy_spectral_r', 'ocean', 'ocean_r', 'pink', 'pink_r', 'plasma', 'plasma_r', 'prism', 'prism_r', 'rainbow', 'rainbow_r', 'seismic', 'seismic_r', 'spectral', 'spectral_r', 'spring', 'spring_r', 'summer', 'summer_r', 'tab10', 'tab10_r', 'tab20', 'tab20_r', 'tab20b', 'tab20b_r', 'tab20c', 'tab20c_r', 'terrain', 'terrain_r', 'viridis', 'viridis_r', 'winter', 'winter_r'), rows=1, value=''), HTML(value=''), FloatText(value=-2.0, description='Leftmost color maps to:', style=DescriptionStyle(description_width='initial')), FloatText(value=2.0, description='Rightmost color maps to:', style=DescriptionStyle(description_width='initial')), IntText(value=0, description='Feature to show:', style=DescriptionStyle(description_width='initial')), HBox(children=(Checkbox(value=False, description='Rotate network', layout=Layout(width='52%'), style=DescriptionStyle(description_width='initial')), Button(icon='save', layout=Layout(width='10%'), style=ButtonStyle())))), layout=Layout(width='100%')))),), selected_index=None, _titles={'0': 'LSTM with Window'}), VBox(children=(HBox(children=(IntSlider(value=0, continuous_update=False, description='Dataset index', layout=Layout(width='100%'), max=93), Label(value='of 94', layout=Layout(width='100px'))), layout=Layout(height='40px')), HBox(children=(Button(icon='fast-backward', layout=Layout(width='100%'), style=ButtonStyle()), Button(icon='backward', layout=Layout(width='100%'), style=ButtonStyle()), IntText(value=0, layout=Layout(width='100%')), Button(icon='forward', layout=Layout(width='100%'), style=ButtonStyle()), Button(icon='fast-forward', layout=Layout(width='100%'), style=ButtonStyle()), Button(description='Play', icon='play', layout=Layout(width='100%'), style=ButtonStyle()), Button(icon='refresh', layout=Layout(width='25%'), style=ButtonStyle())), layout=Layout(height='50px', width='100%'))), layout=Layout(width='100%')), HTML(value='

', layout=Layout(justify_content='center', overflow_x='auto', overflow_y='auto', width='95%')), Output()))" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dash2 = net2.dashboard()\n", "dash2" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[-0.07787566632032394]" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dash2.propagate([[0.1], [0.2], [0.8]])" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "outputs = [net2.propagate(i) for i in net2.dataset.inputs]\n", "cx.plot([[\"Network output\", outputs], [\"Training data\", net2.dataset.targets]])" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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\n", "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "========================================================\n", " | Training | Training | Validate | Validate \n", "Epochs | Error | Accuracy | Error | Accuracy \n", "------ | --------- | --------- | --------- | --------- \n", "# 100 | 0.00220 | 0.96774 | 0.00993 | 0.72340 \n", "Saving network... Saved!\n" ] } ], "source": [ "if net2.saved():\n", " net2.load()\n", " net2.plot_results()\n", "else:\n", " net2.train(100, batch_size=batch_size, shuffle=False, save=True)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "outputs = [net2.propagate(i) for i in net2.dataset.inputs]\n", "cx.plot([[\"Network output\", outputs], [\"Training data\", net2.dataset.targets]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LSTM with State" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "net3 = cx.Network(\"LSTM with Window and State\")\n", "net3.add(cx.Layer(\"input\", features, batch_shape=(batch_size, time_steps, features)))\n", "net3.add(cx.LSTMLayer(\"lstm\", 4, stateful=True)) \n", "net3.add(cx.Layer(\"output\", 1))\n", "net3.connect()\n", "net3.compile(error=\"mse\", optimizer=\"adam\")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "net3.dataset.load(dataset)\n", "net3.dataset.split(.33)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { 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Failed to display Jupyter Widget of type Dashboard.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

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\\n \\n \\n \\n \\n \\n \\n Layer: output (output)\\n output range: (-Infinity, +Infinity)\\n shape = (1,)\\n Keras class = DenseoutputWeights from lstm to output\\n output/kernel:0 has shape (4, 1)\\n output/bias:0 has shape (1,)Layer: lstm (hidden)\\n output range: (-Infinity, +Infinity)\\n Keras class = LSTMlstmWeights from input to lstm\\n lstm/kernel:0 has shape (1, 16)\\n lstm/recurrent_kernel:0 has shape (4, 16)\\n lstm/bias:0 has shape (16,)Layer: input (input)\\n output range: (0.0, 1.0)\\n shape = (1,)\\n Keras class = Input\\n batch_shape = (1, 1, 1)inputLSTM

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"" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "========================================================\n", " | Training | Training | Validate | Validate \n", "Epochs | Error | Accuracy | Error | Accuracy \n", "------ | --------- | --------- | --------- | --------- \n", "# 100 | 0.00199 | 0.97849 | 0.01015 | 0.68085 \n", "Saving network... Saved!\n" ] } ], "source": [ "if net3.saved():\n", " net3.load()\n", " net3.plot_results()\n", "else:\n", " net3.train(100, batch_size=batch_size, shuffle=False, save=True)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "outputs = [net3.propagate(i) for i in net3.dataset.inputs]\n", "plot([[\"Network output\", outputs], [\"Training data\", net3.dataset.targets]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LSTM - Stacked" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "net4 = Network(\"LSTM with Window and State and Stacked\")\n", "net4.add(Layer(\"input\", features, batch_shape=(batch_size, time_steps, features)))\n", "net4.add(LSTMLayer(\"lstm-1\", 4, stateful=True, return_sequences=True)) \n", "net4.add(LSTMLayer(\"lstm-2\", 4, stateful=True)) \n", "net4.add(Layer(\"output\", 1))\n", "net4.connect()\n", "net4.compile(error=\"mse\", optimizer=\"adam\")" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "net4.dataset.load(dataset)\n", "net4.dataset.split(.33)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", "require(['base/js/namespace'], function(Jupyter) {\n", " Jupyter.notebook.kernel.comm_manager.register_target('conx_svg_control', function(comm, msg) {\n", " comm.on_msg(function(msg) {\n", " var data = msg[\"content\"][\"data\"];\n", " var images = document.getElementsByClassName(data[\"class\"]);\n", " for (var i = 0; i < images.length; i++) {\n", " if (data[\"href\"]) {\n", " images[i].setAttributeNS(null, \"href\", data[\"href\"]);\n", " }\n", " if (data[\"src\"]) {\n", " images[i].setAttributeNS(null, \"src\", data[\"src\"]);\n", " }\n", " }\n", " });\n", " });\n", "});\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " LSTM with Window and State and StackedLayer: output (output)\n", " shape = (1,)\n", " Keras class = DenseoutputWeights from lstm-2 to output\n", " output/kernel has shape (4, 1)\n", " output/bias has shape (1,)Layer: lstm-2 (hidden)\n", " Keras class = LSTM\n", " stateful = Truelstm-2Weights from lstm-1 to lstm-2\n", " lstm-2/kernel has shape (4, 16)\n", " lstm-2/recurrent_kernel has shape (4, 16)\n", " lstm-2/bias has shape (16,)Layer: lstm-1 (hidden)\n", " Keras class = LSTM\n", " stateful = True\n", " return_sequences = Truelstm-1Weights from input to lstm-1\n", " lstm-1/kernel has shape (1, 16)\n", " lstm-1/recurrent_kernel has shape (4, 16)\n", " lstm-1/bias has shape (16,)Layer: input (input)\n", " shape = (1,)\n", " Keras class = Input\n", " batch_shape = (1, 3, 1)input" ], "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "net4" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0.0064370655454695225]" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "net4.propagate([[0.1], [-0.2], [0.8]])" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if net4.saved():\n", " net4.load()\n", " net4.plot_results()\n", "else:\n", " net4.train(100, batch_size=batch_size, shuffle=False, plot=True, save=True)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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