{
“cells”: [
{

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“GP Regression with GPflown”, “–n”, “n”, “James Hensman, 2015, 2016n”, “n”, “GP regression (with Gaussian noise) is the most straightforward GP model in GPflow. Because of the conjugacy of the latent process and the noise, the marginal likelihood $p(\mathbf y\,|\,\theta)$ can be computed exactly.n”, “n”, “This notebook shows how to build a GPR model, estimate the parameters $\theta$ by both maximum likelihood and MCMC. “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 2,

“metadata”: {}, “outputs”: [], “source”: [

“import gpflown”, “import numpy as npn”, “import matplotlibn”, “%matplotlib inlinen”, “matplotlib.rcParams[‘figure.figsize’] = (12, 6)n”, “plt = matplotlib.pyplot”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“First build a simple data set. “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 3,

“metadata”: {}, “outputs”: [

{
“data”: {
“text/plain”: [
<<<<<<< HEAD
“[<matplotlib.lines.Line2D at 0x11d821940>]”

]

}, “execution_count”: 3,

}, “execution_count”: 18,
>>>>>>> master
“metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {
<<<<<<< HEAD

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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x11d1ef048>”
“<matplotlib.figure.Figure at 0x12c07ca20>”
>>>>>>> master
]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“N = 12n”, “X = np.random.rand(N,1)n”, “Y = np.sin(12*X) + 0.66*np.cos(25*X) + np.random.randn(N,1)*0.1 + 3n”, “plt.plot(X, Y, ‘kx’, mew=2)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Model constructionn”, “n”, “A GPflow model is created by instantiating one of the GPflow model classes, in this case GPR. we’ll make a kernel k and instantiate a GPR object using the generated data and the kernel. We’ll set the variance of the likelihood to a sensible initial guess, too. “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 4,
“metadata”: {
“collapsed”: true

}, “outputs”: [], “source”: [

“k = gpflow.kernels.Matern52(1, lengthscales=0.3)n”, “m = gpflow.models.GPR(X, Y, kern=k)n”, “m.likelihood.variance = 0.01”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Predictionn”, “n”, “GPflow models have several prediction methods:”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

” - m.predict_f returns the mean and variance of the latent function (f) at the points Xnew. n”, “n”, ” - m.predict_f_full_cov additionally returns the full covariance matrix of the prediction.n”, “n”, ” - m.predict_y returns the mean and variance of a new data point (i.e. includes the noise varaince). In the case of non-Gaussian likelihoods, the variance is computed by (numerically) integrating the non-Gaussian likelihood. n”, “n”, ” - m.predict_f_samples returns samples of the latent functionn”, “n”, ” - m.predict_density returns the log-density of the points Ynew at Xnew. n”, ” n”, “We’ll use predict_y to make a simple plotting function. “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 5,

“metadata”: {}, “outputs”: [

{
“data”: {
<<<<<<< HEAD

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x120caaf98>”
“<matplotlib.figure.Figure at 0x12ed03668>”
>>>>>>> master
]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“def plot(m):n”, ” xx = np.linspace(-0.1, 1.1, 100).reshape(100, 1)n”, ” mean, var = m.predict_y(xx)n”, ” plt.figure(figsize=(12, 6))n”, ” plt.plot(X, Y, ‘kx’, mew=2)n”, ” plt.plot(xx, mean, ‘C0’, lw=2)n”, ” plt.fill_between(xx[:,0],n”, ” mean[:,0] - 2*np.sqrt(var[:,0]),n”, ” mean[:,0] + 2*np.sqrt(var[:,0]),n”, ” color=’C0’, alpha=0.2)n”, ” plt.xlim(-0.1, 1.1)n”, ” n”, “plot(m)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Using mean functionsn”, “n”, “All GPflow models can have parameterized mean functions, some simple ones are provided in gpflow.mean_functions. Here’s a model with a Linear mean function. “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 6,

“metadata”: {}, “outputs”: [], “source”: [

“k = gpflow.kernels.Matern52(1, lengthscales=0.3)n”, “meanf = gpflow.mean_functions.Linear(1.0, 0.0)n”, “m = gpflow.models.GPR(X, Y, k, meanf)n”, “m.likelihood.variance = 0.01”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Maximum Likelihood estimation of $\theta$n”, “n”, “Getting the ML estimate of the parameters is a simple call to minimize method of the optimizer’s instance, for e.g. gpflow.train.ScipyOptimizer(). By default, GPflow plugs into the L-BFGS-B algorithm via scipy. Here are the parameters before optimization: “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD

“execution_count”: 8, “metadata”: {}, “outputs”: [

{
“data”: {
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], “text/plain”: [

” class prior transform trainable shape \n”, “GPR/mean_function/A Parameter None (none) True (1, 1) n”, “GPR/mean_function/b Parameter None (none) True () n”, “GPR/kern/variance Parameter None +ve True () n”, “GPR/kern/lengthscales Parameter None +ve True () n”, “GPR/likelihood/variance Parameter None +ve True () n”, “n”, ” fixed_shape value n”, “GPR/mean_function/A True [[1.0]] n”, “GPR/mean_function/b True 0.0 n”, “GPR/kern/variance True 1.0 n”, “GPR/kern/lengthscales True 0.3 n”, “GPR/likelihood/variance True 0.01 “

]

}, “execution_count”: 8, “metadata”: {}, “output_type”: “execute_result”

“outputs”: [
{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“<Parameter name:u001b[1mGPR/mean_function/Au001b[0m [trainable] shape:(1, 1) transform:(none) prior:None>n”, “value: [[ 1.]]n”, “n”, “<Parameter name:u001b[1mGPR/mean_function/bu001b[0m [trainable] shape:() transform:(none) prior:None>n”, “value: 0.0n”, “n”, “<Parameter name:u001b[1mGPR/kern/varianceu001b[0m [trainable] shape:() transform:+ve prior:None>n”, “value: 1.0n”, “n”, “<Parameter name:u001b[1mGPR/kern/lengthscalesu001b[0m [trainable] shape:() transform:+ve prior:None>n”, “value: 0.3n”, “n”, “<Parameter name:u001b[1mGPR/likelihood/varianceu001b[0m [trainable] shape:() transform:+ve prior:None>n”, “value: 0.01n”

]

>>>>>>> master
}

], “source”: [

“m.as_pandas_table()”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“Here are the parameters after optimization, and a new plot. “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 9,
“metadata”: {
“scrolled”: false

}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

INFO:tensorflow:Optimization terminated with:n”,
<<<<<<< HEAD
” Message: b’CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL’n”, ” Objective function value: 3.205102n”, ” Number of iterations: 19n”, ” Number of functions evaluations: 20n”
” Number of iterations: 22n”, ” Number of functions evaluations: 24n”, “<Parameter name:u001b[1mGPR/mean_function/Au001b[0m [trainable] shape:(1, 1) transform:(none) prior:None>n”, “value: [[-1.87436664]]n”, “n”, “<Parameter name:u001b[1mGPR/mean_function/bu001b[0m [trainable] shape:() transform:(none) prior:None>n”, “value: 3.62158209355669n”, “n”, “<Parameter name:u001b[1mGPR/kern/varianceu001b[0m [trainable] shape:() transform:+ve prior:None>n”, “value: 0.3797687342720873n”, “n”, “<Parameter name:u001b[1mGPR/kern/lengthscalesu001b[0m [trainable] shape:() transform:+ve prior:None>n”, “value: 0.05235709686368796n”, “n”, “<Parameter name:u001b[1mGPR/likelihood/varianceu001b[0m [trainable] shape:() transform:+ve prior:None>n”, “value: 0.00042147799809317513n”
>>>>>>> master
]

}, {

“data”: {
<<<<<<< HEAD
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]

}, “execution_count”: 9, “metadata”: {}, “output_type”: “execute_result”

}, {

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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x11d7cbc88>”
“<matplotlib.figure.Figure at 0x12f5d8cc0>”
>>>>>>> master
]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“gpflow.train.ScipyOptimizer().minimize(m)n”, “plot(m)n”, “m.as_pandas_table()”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### MCMC for $\theta$n”, “n”, “Here’s a quick demonstration of how to obtain posteriors over the hyper-parameters in GP regression. First, we’ll set some priors on the kernel parameters, then we’ll run MCMC and see how much posterior uncertainty there is in the parameters.n”, “n”, “First we’ll choose rather arbitrary priors. n”

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 10,
“metadata”: {
“scrolled”: false

}, “outputs”: [

{
<<<<<<< HEAD
“data”: {
“text/html”: [
“<div>n”, “<style>n”, ” .dataframe thead tr:only-child th {n”, ” text-align: right;n”, ” }n”, “n”, ” .dataframe thead th {n”, ” text-align: left;n”, ” }n”, “n”, ” .dataframe tbody tr th {n”, ” vertical-align: top;n”, ” }n”, “</style>n”, “<table border=”1” class=”dataframe”>n”, ” <thead>n”, ” <tr style=”text-align: right;”>n”, ” <th></th>n”, ” <th>class</th>n”, ” <th>prior</th>n”, ” <th>transform</th>n”, ” <th>trainable</th>n”, ” <th>shape</th>n”, ” <th>fixed_shape</th>n”, ” <th>value</th>n”, ” </tr>n”, ” </thead>n”, ” <tbody>n”, ” <tr>n”, ” <th>GPR/mean_function/A</th>n”, ” <td>Parameter</td>n”, ” <td>N([ 0.],[ 10.])</td>n”, ” <td>(none)</td>n”, ” <td>True</td>n”, ” <td>(1, 1)</td>n”, ” <td>True</td>n”, ” <td>[[0.779783699914]]</td>n”, ” </tr>n”, ” <tr>n”, ” <th>GPR/mean_function/b</th>n”, ” <td>Parameter</td>n”, ” <td>N([ 0.],[ 10.])</td>n”, ” <td>(none)</td>n”, ” <td>True</td>n”, ” <td>()</td>n”, ” <td>True</td>n”, ” <td>2.8279224174073008</td>n”, ” </tr>n”, ” <tr>n”, ” <th>GPR/kern/variance</th>n”, ” <td>Parameter</td>n”, ” <td>Ga([ 1.],[ 1.])</td>n”, ” <td>+ve</td>n”, ” <td>True</td>n”, ” <td>()</td>n”, ” <td>True</td>n”, ” <td>0.8160885604514175</td>n”, ” </tr>n”, ” <tr>n”, ” <th>GPR/kern/lengthscales</th>n”, ” <td>Parameter</td>n”, ” <td>Ga([ 1.],[ 1.])</td>n”, ” <td>+ve</td>n”, ” <td>True</td>n”, ” <td>()</td>n”, ” <td>True</td>n”, ” <td>0.11059796926993924</td>n”, ” </tr>n”, ” <tr>n”, ” <th>GPR/likelihood/variance</th>n”, ” <td>Parameter</td>n”, ” <td>Ga([ 1.],[ 1.])</td>n”, ” <td>+ve</td>n”, ” <td>True</td>n”, ” <td>()</td>n”, ” <td>True</td>n”, ” <td>0.0020621774056935995</td>n”, ” </tr>n”, ” </tbody>n”, “</table>n”, “</div>”

], “text/plain”: [

” class prior transform trainable \n”, “GPR/mean_function/A Parameter N([ 0.],[ 10.]) (none) True n”, “GPR/mean_function/b Parameter N([ 0.],[ 10.]) (none) True n”, “GPR/kern/variance Parameter Ga([ 1.],[ 1.]) +ve True n”, “GPR/kern/lengthscales Parameter Ga([ 1.],[ 1.]) +ve True n”, “GPR/likelihood/variance Parameter Ga([ 1.],[ 1.]) +ve True n”, “n”, ” shape fixed_shape value n”, “GPR/mean_function/A (1, 1) True [[0.779783699914]] n”, “GPR/mean_function/b () True 2.8279224174073008 n”, “GPR/kern/variance () True 0.8160885604514175 n”, “GPR/kern/lengthscales () True 0.11059796926993924 n”, “GPR/likelihood/variance () True 0.0020621774056935995 “

]

}, “execution_count”: 10, “metadata”: {}, “output_type”: “execute_result”

“text”: [
“<Parameter name:u001b[1mGPR/mean_function/Au001b[0m [trainable] shape:(1, 1) transform:(none) prior:N([ 0.],[ 10.])>n”, “value: [[-1.87436664]]n”, “n”, “<Parameter name:u001b[1mGPR/mean_function/bu001b[0m [trainable] shape:() transform:(none) prior:N([ 0.],[ 10.])>n”, “value: 3.62158209355669n”, “n”, “<Parameter name:u001b[1mGPR/kern/varianceu001b[0m [trainable] shape:() transform:+ve prior:Ga([ 1.],[ 1.])>n”, “value: 0.3797687342720873n”, “n”, “<Parameter name:u001b[1mGPR/kern/lengthscalesu001b[0m [trainable] shape:() transform:+ve prior:Ga([ 1.],[ 1.])>n”, “value: 0.05235709686368796n”, “n”, “<Parameter name:u001b[1mGPR/likelihood/varianceu001b[0m [trainable] shape:() transform:+ve prior:Ga([ 1.],[ 1.])>n”, “value: 0.00042147799809317513n”

]

>>>>>>> master
}

], “source”: [

“m.clear()n”, “m.kern.lengthscales.prior = gpflow.priors.Gamma(1., 1.)n”, “m.kern.variance.prior = gpflow.priors.Gamma(1., 1.)n”, “m.likelihood.variance.prior = gpflow.priors.Gamma(1., 1.)n”, “m.mean_function.A.prior = gpflow.priors.Gaussian(0., 10.)n”, “m.mean_function.b.prior = gpflow.priors.Gaussian(0., 10.)n”, “m.compile()n”, “m.as_pandas_table()”

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 11,

“metadata”: {}, “outputs”: [], “source”: [

“sampler = gpflow.train.HMC()n”, “samples = sampler.sample(m, num_samples=500, epsilon=0.05, lmin=10, lmax=20, logprobs=False)”

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 12,

“metadata”: {}, “outputs”: [

{
“data”: {
“text/plain”: [
<<<<<<< HEAD
“<matplotlib.text.Text at 0x1244d3fd0>”

]

}, “execution_count”: 12,

}, “execution_count”: 26,
>>>>>>> master
“metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {
<<<<<<< HEAD

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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x1244cab70>”
“<matplotlib.figure.Figure at 0x12f6370f0>”
>>>>>>> master
]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“for i, col in samples.iteritems():n”, ” plt.plot(col, label=col.name)n”, “plt.legend(loc=0)n”, “plt.xlabel(‘hmc iteration’)n”, “plt.ylabel(‘parameter value’)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“Note that the sampler runs in unconstrained space (so that positive parameters remain positive, parameters that are not trainable are ignored), but GPflow returns a dataframe with values in the true units.n”, “n”, “For serious analysis you most certainly want to run the sampler longer, with multiple chains and convergence checks. This will do for illustration though!”

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 13,

“metadata”: {}, “outputs”: [

{
“data”: {
“text/plain”: [
<<<<<<< HEAD
“<matplotlib.text.Text at 0x12466bb38>”

]

}, “execution_count”: 13,

}, “execution_count”: 27,
>>>>>>> master
“metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {
<<<<<<< HEAD

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x124d5f908>”
“<matplotlib.figure.Figure at 0x134043fd0>”
>>>>>>> master
]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“f, axs = plt.subplots(1,3, figsize=(12,4))n”, “n”, “axs[0].plot(samples[‘GPR/likelihood/variance’],n”, ” samples[‘GPR/kern/variance’], ‘k.’, alpha = 0.15)n”, “axs[0].set_xlabel(‘noise_variance’)n”, “axs[0].set_ylabel(‘signal_variance’)n”, “n”, “axs[1].plot(samples[‘GPR/likelihood/variance’],n”, ” samples[‘GPR/kern/lengthscales’], ‘k.’, alpha = 0.15)n”, “axs[1].set_xlabel(‘noise_variance’)n”, “axs[1].set_ylabel(‘lengthscale’)n”, “n”, “axs[2].plot(samples[‘GPR/kern/lengthscales’],n”, ” samples[‘GPR/kern/variance’], ‘k.’, alpha = 0.1)n”, “axs[2].set_xlabel(‘lengthscale’)n”, “axs[2].set_ylabel(‘signal_variance’)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“To plot the posterior of predictions, we’ll iterate through the samples and set the model state with each sample. Then, for that state (set of hyper-parameters) we’ll draw some samples from the prediction function. “

]

}, {

“cell_type”: “code”,
<<<<<<< HEAD
“execution_count”: 15,
“metadata”: {
“scrolled”: false

}, “outputs”: [

{
“data”: {
<<<<<<< HEAD

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x124ecc278>”
“<matplotlib.figure.Figure at 0x1340c0630>”
>>>>>>> master
]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“#plot the function posteriorn”, “xx = np.linspace(-0.1, 1.1, 100)[:,None]n”, “plt.figure(figsize=(12, 6))n”, “for i, s in samples.iloc[::20].iterrows():n”, ” m.assign(s)n”, ” f = m.predict_f_samples(xx, 1)n”, ” plt.plot(xx, f[0,:,:], ‘C0’, lw=2, alpha=0.1)n”, ” n”, “plt.plot(X, Y, ‘kx’, mew=2)n”, “_ = plt.xlim(xx.min(), xx.max())n”, “_ = plt.ylim(0, 6)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“Note the bimodal posterior: the data can be exmplained by a very smooth function (with lots of noise) or as a rough, short lengthscale function.”

]

}

], “metadata”: {

“anaconda-cloud”: {}, “kernelspec”: {

“display_name”: “Python [default]”, “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”: “3.6.0”

}

}, “nbformat”: 4, “nbformat_minor”: 1

}