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Classification examples corrected (2/3)
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3 changed files with 54 additions and 96 deletions
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@ -3,16 +3,15 @@
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"""
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Simple Gaussian Processes classification
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Gaussian Processes classification
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"""
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import pylab as pb
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import numpy as np
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import GPy
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default_seed=10000
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######################################
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## 2 dimensional example
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def crescent_data(model_type='Full', inducing=10, seed=default_seed):
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def crescent_data(model_type='Full', inducing=10, seed=default_seed): #FIXME
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"""Run a Gaussian process classification on the crescent data. The demonstration calls the basic GP classification model and uses EP to approximate the likelihood.
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:param model_type: type of model to fit ['Full', 'FITC', 'DTC'].
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@ -30,7 +29,7 @@ def crescent_data(model_type='Full', inducing=10, seed=default_seed):
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# create sparse GP EP model
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m = GPy.models.sparse_GP_EP(data['X'],likelihood=likelihood,inducing=inducing,ep_proxy=model_type)
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m.approximate_likelihood()
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m.update_likelihood_approximation()
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print(m)
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# optimize
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@ -42,53 +41,66 @@ def crescent_data(model_type='Full', inducing=10, seed=default_seed):
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return m
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def oil():
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"""Run a Gaussian process classification on the oil data. The demonstration calls the basic GP classification model and uses EP to approximate the likelihood."""
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"""
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Run a Gaussian process classification on the oil data. The demonstration calls the basic GP classification model and uses EP to approximate the likelihood.
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"""
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data = GPy.util.datasets.oil()
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likelihood = GPy.inference.likelihoods.probit(data['Y'][:, 0:1])
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# Kernel object
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kernel = GPy.kern.rbf(12)
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# create simple GP model
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m = GPy.models.GP_EP(data['X'],likelihood)
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# Likelihood object
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distribution = GPy.likelihoods.likelihood_functions.probit()
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likelihood = GPy.likelihoods.EP(data['Y'][:, 0:1],distribution)
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# contrain all parameters to be positive
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# Create GP model
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m = GPy.models.GP(data['X'],kernel,likelihood=likelihood)
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# Contrain all parameters to be positive
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m.constrain_positive('')
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m.tie_param('lengthscale')
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m.approximate_likelihood()
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m.update_likelihood_approximation()
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# optimize
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# Optimize
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m.optimize()
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# plot
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#m.plot()
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print(m)
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return m
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def toy_linear_1d_classification(model_type='Full', inducing=4, seed=default_seed):
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"""Simple 1D classification example.
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:param model_type: type of model to fit ['Full', 'FITC', 'DTC'].
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def toy_linear_1d_classification(seed=default_seed):
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"""
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Simple 1D classification example
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:param seed : seed value for data generation (default is 4).
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:type seed: int
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:param inducing : number of inducing variables (only used for 'FITC' or 'DTC').
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:type inducing: int
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"""
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data = GPy.util.datasets.toy_linear_1d_classification(seed=seed)
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likelihood = GPy.inference.likelihoods.probit(data['Y'][:, 0:1])
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assert model_type in ('Full','DTC','FITC')
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# create simple GP model
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if model_type=='Full':
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m = GPy.models.GP_EP(data['X'],likelihood)
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else:
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# create sparse GP EP model
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m = GPy.models.sparse_GP_EP(data['X'],likelihood=likelihood,inducing=inducing,ep_proxy=model_type)
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# Kernel object
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kernel = GPy.kern.rbf(1)
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m.constrain_positive('var')
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m.constrain_positive('len')
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m.tie_param('lengthscale')
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m.approximate_likelihood()
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# Likelihood object
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distribution = GPy.likelihoods.likelihood_functions.probit()
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likelihood = GPy.likelihoods.EP(data['Y'][:, 0:1],distribution)
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# Optimize and plot
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m.em(plot_all=False) # EM algorithm
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m.plot()
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# Model definition
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m = GPy.models.GP(data['X'],kernel,likelihood=likelihood)
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# Optimize
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"""
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EPEM runs a loop that consists of two steps:
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1) EP likelihood approximation:
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m.update_likelihood_approximation()
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2) Parameters optimization:
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m.optimize()
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"""
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m.EPEM()
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# Plot
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pb.subplot(211)
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m.plot_GP()
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pb.subplot(212)
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m.plot_output()
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print(m)
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return m
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