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Nicolo Fusi 2012-11-29 16:27:46 +00:00
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"""
Gaussian Processes regression examples
"""
import pylab as pb
import numpy as np
import GPy
pb.ion()
pb.close('all')
def toy_rbf_1d():
"""Run a simple demonstration of a standard Gaussian process fitting it to data sampled from an RBF covariance."""
data = GPy.util.datasets.toy_rbf_1d()
# create simple GP model
m = GPy.models.GP_regression(data['X'],data['Y'])
# contrain all parameters to be positive
m.constrain_positive('')
# optimize
m.optimize()
# plot
m.plot()
print(m)
return m
def rogers_girolami_olympics():
"""Run a standard Gaussian process regression on the Rogers and Girolami olympics data."""
data = GPy.util.datasets.rogers_girolami_olympics()
# create simple GP model
m = GPy.models.GP_regression(data['X'],data['Y'])
# contrain all parameters to be positive
m.constrain_positive('')
# optimize
m.optimize()
# plot
m.plot(plot_limits = (1850, 2050))
print(m)
return m
def toy_rbf_1d_50():
"""Run a simple demonstration of a standard Gaussian process fitting it to data sampled from an RBF covariance."""
data = GPy.util.datasets.toy_rbf_1d_50()
# create simple GP model
m = GPy.models.GP_regression(data['X'],data['Y'])
# contrain all parameters to be positive
m.constrain_positive('')
# optimize
m.optimize()
# plot
m.plot()
print(m)
return m
def silhouette():
"""Predict the pose of a figure given a silhouette. This is a task from Agarwal and Triggs 2004 ICML paper."""
data = GPy.util.datasets.silhouette()
# create simple GP model
m = GPy.models.GP_regression(data['X'],data['Y'])
# contrain all parameters to be positive
m.constrain_positive('')
# optimize
m.optimize()
print(m)
return m