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@mathDR
Created August 24, 2017 17:58
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GPflow kernel component analysis
{
"cells": [
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import GPflow\n",
"import datetime\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('ggplot')\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"data = np.genfromtxt('birthdates-1968-1988.csv',delimiter=',',dtype=np.int, skip_header=1)\n",
"# year,month,day,births,day_of_year,day_of_week"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(7305, 6)\n"
]
}
],
"source": [
"# Convert first three columns of data to python datetime\n",
"print(data.shape)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"dates = []\n",
"for i in range(data.shape[0]):\n",
" dt = datetime.datetime(year=data[i,0], month=data[i,1], day=data[i,2])\n",
" dates.append(dt)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11def94e0>]"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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rSrYqz/EyfR5P6Opuk4hMWxvcSARuKOSlS5w/HzAMb9EQ+xQwdvIEDY33IyqtyHWiwI+H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L3f/a7qevF9KVzpFeaotcfW1m/wEkn9h2eegZ9IyJoEOtCUibHk02lktSBDDBuGUytWSPhloY0K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\nEdawWywWi8UyirCG3WKxWCyWUcT/B0adg3HS3sCvAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11dea3e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,4))\n",
"plt.plot_date(dates,data[:,3],'r.')"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"daily_births = []\n",
"days = np.unique(data[:,4])\n",
"for x in days:\n",
" ind = data[:,4]==x\n",
" daily_births.append(np.sum(data[ind,3]))"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11d9785f8>]"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Z3dN7Z+P5sqlpaGb+lL7eO9CZI7J4b3cJq/YdIzHG6R3xef15AzjR0MzTaw5x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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11dadfe10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(days,daily_births)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Need to mulitply Feb 29 (60th day of year) by 4"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"daily_births[60-1] *= 4"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11de922b0>]"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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oWztf+HmuA7x7OM6Lh/tzxnYfy2oa3lIKXk3jSP/U9tzHdndy4x1b+M7je090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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d98bf60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(days,daily_births)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [],
"source": [
"days = np.array(days,dtype=np.float)\n",
"daily_births = np.array(daily_births,dtype=np.float)"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Normalize daily_births\n",
"X = days.reshape(-1,1)\n",
"Y = (daily_births - daily_births.mean())/daily_births.std()\n",
"Y = Y.reshape(-1,1)"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"k = GPflow.kernels.RBF(1, lengthscales=10) + GPflow.kernels.PeriodicKernel(1, period=7.0, variance=.05,lengthscales=2)\n",
"lik = GPflow.likelihoods.StudentT()\n",
"m = GPflow.svgp.SVGP(X, Y, Z = days.reshape(-1,1), kern=k, likelihood=lik)\n",
"m.likelihood.variance = 0.01"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"m.kern.periodickernel.lengthscales.prior = GPflow.priors.Uniform()\n",
"m.kern.periodickernel.variance.prior = GPflow.priors.Uniform()\n",
"m.likelihood.scale.prior = GPflow.priors.Uniform()"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" fun: 188.35627863563002\n",
" hess_inv: <67899x67899 LbfgsInvHessProduct with dtype=float64>\n",
" jac: array([ -2.00568897e-02, -1.56219701e-02, 7.31051714e-03, ...,\n",
" -1.26394909e-06, -8.00652515e-07, -1.11328861e-06])\n",
" message: b'STOP: TOTAL NO. of ITERATIONS EXCEEDS LIMIT'\n",
" nfev: 1065\n",
" nit: 1001\n",
" status: 1\n",
" success: False\n",
" x: array([ 1.26376338e+00, 2.43483664e+00, 3.07341657e+00, ...,\n",
" -2.66641931e-05, -1.72838614e-05, 9.99994486e-01])"
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m.optimize()"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot(m,X,Y,N=2):\n",
" mean, var = m.predict_y(X)\n",
" plt.figure(figsize=(12, 6))\n",
" plt.plot(X, Y, 'kx', mew=2)\n",
" plt.plot(X, mean, 'r', lw=2)\n",
" plt.fill_between(X[:,0], mean[:,0] - N*np.sqrt(var[:,0]), mean[:,0] + N*np.sqrt(var[:,0]), color='blue', alpha=0.2)\n"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Tubn5/OSWT7PO0Dk3YGaP/6HZ+G8kzMnAZcDHg37+D9ia42aWt4Gjdke0C8VwL7pzOq1s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igD0MjzoyPnSWuitpZWrVYXDM5kI64jcKb3Z1iYSGlp+8izdZU9qKF9W7lHLFqUg9EYQ0nJsbo8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\nREREREJPoVhEREREQk+hWERERERC7/8Dc+fn1yiVW3cAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x125731b00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(m, X, Y,N=1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Pull out individual components \n",
"# To do so, we will make a new GP with each of the kernels and fix the hyperparameters"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [],
"source": [
"k1 = GPflow.kernels.RBF(1, lengthscales=m.kern.rbf.lengthscales.value, variance=m.kern.rbf.variance.value)\n",
"k2 = GPflow.kernels.PeriodicKernel(1, period=m.kern.periodickernel.period.value, \n",
" variance=m.kern.periodickernel.variance.value,\n",
" lengthscales=m.kern.periodickernel.lengthscales.value)\n",
"lik = GPflow.likelihoods.StudentT()\n",
"m1 = GPflow.svgp.SVGP(X, Y, Z = m.Z.value, kern=k1, likelihood=lik)\n",
"m2 = GPflow.svgp.SVGP(X, Y, Z = m.Z.value, kern=k2, likelihood=lik)\n",
"m1.likelihood.variance = m.likelihood.variance\n",
"m2.likelihood.variance = m.likelihood.variance\n",
"m1.likelihood.scale = m.likelihood.scale\n",
"m2.likelihood.scale = m.likelihood.scale\n",
"m1.q_mu = m.q_mu\n",
"m1.q_sqrt = m.q_sqrt\n",
"m2.q_mu = m.q_mu\n",
"m2.q_sqrt = m.q_sqrt\n",
"m1.fixed = True\n",
"m2.fixed = True"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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j6M6ZwQCvAtnA56qJ6odfo3XsJMyLZh3Vy/jjiV/ixsbD3O3z8Ahg97XF8Zl1UFVobpZs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\nUWlNsQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x128316710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(m1, X, Y,N=1)"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/zWYfUlIAnw8YGhJgs2ngcon9FARArxf7mZ/vQ2qqHxoNMDoqHudwiOf2+YCU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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x128ad8ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(m2, X, Y,N=1)"
]
},
{
"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": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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