swh:1:snp:636001a7d28e32091113da06cec462052713b3b6
Tip revision: 9e51e3ba4fe38d6dc51d226d78207c4c88900c0d authored by James Hensman on 09 December 2016, 10:16:09 UTC
more tweaking the deep GP
more tweaking the deep GP
Tip revision: 9e51e3b
test_gplvm.py
from __future__ import print_function
import GPflow
import numpy as np
import unittest
from GPflow import ekernels
from GPflow import kernels
np.random.seed(0)
class TestGPLVM(unittest.TestCase):
def setUp(self):
# data
self.N = 20 # number of data points
D = 5 # data dimension
self.rng = np.random.RandomState(1)
self.Y = self.rng.randn(self.N, D)
# model
self.Q = 2 # latent dimensions
def test_optimise(self):
m = GPflow.gplvm.GPLVM(self.Y, self.Q)
linit = m.compute_log_likelihood()
m.optimize(maxiter=2)
self.assertTrue(m.compute_log_likelihood() > linit)
def test_otherkernel(self):
k = kernels.PeriodicKernel(self.Q)
XInit = self.rng.rand(self.N, self.Q)
m = GPflow.gplvm.GPLVM(self.Y, self.Q, XInit, k)
linit = m.compute_log_likelihood()
m.optimize(maxiter=2)
self.assertTrue(m.compute_log_likelihood() > linit)
class TestBayesianGPLVM(unittest.TestCase):
def setUp(self):
# data
self.N = 20 # number of data points
self.D = 5 # data dimension
self.rng = np.random.RandomState(1)
self.Y = self.rng.randn(self.N, self.D)
# model
self.M = 10 # inducing points
def test_1d(self):
Q = 1 # latent dimensions
k = ekernels.RBF(Q)
Z = np.linspace(0, 1, self.M)
Z = np.expand_dims(Z, Q) # inducing points
m = GPflow.gplvm.BayesianGPLVM(X_mean=np.zeros((self.N, Q)),
X_var=np.ones((self.N, Q)), Y=self.Y, kern=k, M=self.M, Z=Z)
linit = m.compute_log_likelihood()
m.optimize(maxiter=2)
self.assertTrue(m.compute_log_likelihood() > linit)
def test_2d(self):
# test default Z on 2_D example
Q = 2 # latent dimensions
X_mean = GPflow.gplvm.PCA_reduce(self.Y, Q)
k = ekernels.RBF(Q, ARD=False)
m = GPflow.gplvm.BayesianGPLVM(X_mean=X_mean,
X_var=np.ones((self.N, Q)), Y=self.Y, kern=k, M=self.M)
linit = m.compute_log_likelihood()
m.optimize(maxiter=2)
self.assertTrue(m.compute_log_likelihood() > linit)
# test prediction
Xtest = self.rng.randn(10, Q)
mu_f, var_f = m.predict_f(Xtest)
mu_fFull, var_fFull = m.predict_f_full_cov(Xtest)
self.assertTrue(np.allclose(mu_fFull, mu_f))
# check full covariance diagonal
for i in range(self.D):
self.assertTrue(np.allclose(var_f[:, i], np.diag(var_fFull[:, :, i])))
def test_kernelsActiveDims(self):
''' Test sum and product compositional kernels '''
Q = 2 # latent dimensions
X_mean = GPflow.gplvm.PCA_reduce(self.Y, Q)
kernsQuadratu = [kernels.RBF(1, active_dims=[0])+kernels.Linear(1, active_dims=[1]),
kernels.RBF(1, active_dims=[0])+kernels.PeriodicKernel(1, active_dims=[1]),
kernels.RBF(1, active_dims=[0])*kernels.Linear(1, active_dims=[1]),
kernels.RBF(Q)+kernels.Linear(Q)] # non-overlapping
kernsAnalytic = [ekernels.Add([ekernels.RBF(1, active_dims=[0]), ekernels.Linear(1, active_dims=[1])]),
ekernels.Add([ekernels.RBF(1, active_dims=[0]), kernels.PeriodicKernel(1, active_dims=[1])]),
ekernels.Prod([ekernels.RBF(1, active_dims=[0]), ekernels.Linear(1, active_dims=[1])]),
ekernels.Add([ekernels.RBF(Q), ekernels.Linear(Q)])]
fOnSeparateDims = [True, True, True, False]
Z = np.random.permutation(X_mean.copy())[:self.M]
# Also test default N(0,1) is used
X_prior_mean = np.zeros((self.N, Q))
X_prior_var = np.ones((self.N, Q))
Xtest = self.rng.randn(10, Q)
for kq, ka, sepDims in zip(kernsQuadratu, kernsAnalytic, fOnSeparateDims):
kq.num_gauss_hermite_points = 20 # speed up quadratic for tests
ka.kern_list[0].num_gauss_hermite_points = 0 # RBF should throw error if quadrature is used
if(sepDims):
self.assertTrue(ka.on_separate_dimensions, 'analytic kernel must not use quadrature')
mq = GPflow.gplvm.BayesianGPLVM(X_mean=X_mean, X_var=np.ones((self.N, Q)), Y=self.Y,
kern=kq, M=self.M, Z=Z, X_prior_mean=X_prior_mean, X_prior_var=X_prior_var)
ma = GPflow.gplvm.BayesianGPLVM(X_mean=X_mean, X_var=np.ones((self.N, Q)), Y=self.Y,
kern=ka, M=self.M, Z=Z)
mq._compile()
ma._compile()
ql = mq.compute_log_likelihood()
al = ma.compute_log_likelihood()
self.assertTrue(np.allclose(ql, al, atol=1e-2), 'Likelihood not equal %f<>%f' % (ql, al))
mu_f_a, var_f_a = ma.predict_f(Xtest)
mu_f_q, var_f_q = mq.predict_f(Xtest)
self.assertTrue(np.allclose(mu_f_a, mu_f_q, atol=1e-4), ('Posterior means different', mu_f_a-mu_f_q))
self.assertTrue(np.allclose(mu_f_a, mu_f_q, atol=1e-4), ('Posterior vars different', var_f_a-var_f_q))
if __name__ == "__main__":
unittest.main()