Created
March 3, 2017 10:15
-
-
Save titouanc/1370f318d3a49907be952dc55919006e to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 169, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from keras.models import Sequential\n", | |
"from keras.layers import Dense, LSTM\n", | |
"from tqdm import tqdm\n", | |
"\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Generate sample\n", | |
"\n", | |
"Sum of 10 sinuses, each with random period in $0..50$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 299, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7f69b7799b70>]" | |
] | |
}, | |
"execution_count": 299, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f69b77c9320>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sample_size = 10000\n", | |
"t = np.linspace(0, 2, sample_size)\n", | |
"coefs = 50 * np.random.rand(10)\n", | |
"sample = sum(np.sin(t*k) for k in coefs)\n", | |
"plt.plot(t, sample)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Train on random sequences of length 8" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 300, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 5000/5000 [00:27<00:00, 182.10it/s]\n" | |
] | |
} | |
], | |
"source": [ | |
"in_size = 8\n", | |
"\n", | |
"model = Sequential([\n", | |
" # nb_samples, timesteps, input_dim -> nb_samples, output_dim\n", | |
" LSTM(32, input_dim=1),\n", | |
" Dense(output_dim=1),\n", | |
"])\n", | |
"model.compile(loss='mean_squared_error', optimizer='sgd', metrics=['accuracy'])\n", | |
"\n", | |
"def run(i):\n", | |
" idx = np.random.randint(0, len(sample) - in_size - 1)\n", | |
" x = sample[idx:idx+in_size]\n", | |
" y = sample[idx+in_size+1].reshape(1, 1)\n", | |
" z = model.train_on_batch(x.reshape(1, in_size, 1), y)\n", | |
" return z[0]\n", | |
"\n", | |
"loss = list(map(run, tqdm(range(5000))))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 301, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7f69bc2bd198>]" | |
] | |
}, | |
"execution_count": 301, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD8CAYAAABn919SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f69b77cfd30>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(loss)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Plot prediction on training set" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 313, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7f69b6b83898>" | |
] | |
}, | |
"execution_count": 313, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAHiCAYAAAAAirELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEEIIISxPgmIhhBBCCGF5/x8BWBHaxx/GAwAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f69b6c3be48>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(12, 8))\n", | |
"y = model.predict(sample.reshape(sample_size, 1, 1)).reshape(sample_size)\n", | |
"plt.plot(t, sample, label=\"Sample\")\n", | |
"plt.plot(t, y, label=\"Prediction\")\n", | |
"plt.fill_between(t, sample, y, color='r', alpha=0.25)\n", | |
"plt.legend()\n", | |
"plt.title(\"Training set\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Predict on test set\n", | |
"\n", | |
"Test set is a sum of sinuses with same period as the traiing set, and a random phase offset in $0..2\\pi$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 310, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7f69b6d1fa90>" | |
] | |
}, | |
"execution_count": 310, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAHiCAYAAAAAirELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMzMzs+y5KDYzMzOz7LkoNjMzM7Ps/RcxBgsS2mNbYAAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f69b6d735f8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"test = sum(np.sin(2*np.random.rand()*np.pi + t*k) for k in coefs)\n", | |
"\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"y = model.predict(test.reshape(sample_size, 1, 1)).reshape(sample_size)\n", | |
"plt.plot(t, test, label=\"Sample\")\n", | |
"plt.plot(t, y, label=\"Prediction\")\n", | |
"plt.fill_between(t, test, y, color='r', alpha=0.25)\n", | |
"plt.legend()\n", | |
"plt.title(\"Testing set\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.4.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment