Merge branch 'devel' of github.com:SheffieldML/GPy into devel

This commit is contained in:
Zhenwen Dai 2015-09-07 16:27:37 +01:00
commit 795929b513
15 changed files with 228 additions and 45 deletions

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@ -205,7 +205,7 @@ class GP(Model):
if kern is None:
kern = self.kern
Kx = kern.K(self.X, Xnew)
Kx = kern.K(self._predictive_variable, Xnew)
mu = np.dot(Kx.T, self.posterior.woodbury_vector)
if len(mu.shape)==1:
mu = mu.reshape(-1,1)

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@ -49,7 +49,7 @@ class SparseGP(GP):
else:
#inference_method = ??
raise NotImplementedError("what to do what to do?")
print("defaulting to ", inference_method, "for latent function inference")
print(("defaulting to ", inference_method, "for latent function inference"))
self.Z = Param('inducing inputs', Z)
self.num_inducing = Z.shape[0]
@ -128,29 +128,30 @@ class SparseGP(GP):
if kern is None: kern = self.kern
if not isinstance(Xnew, VariationalPosterior):
Kx = kern.K(self._predictive_variable, Xnew)
mu = np.dot(Kx.T, self.posterior.woodbury_vector)
if full_cov:
Kxx = kern.K(Xnew)
if self.posterior.woodbury_inv.ndim == 2:
var = Kxx - np.dot(Kx.T, np.dot(self.posterior.woodbury_inv, Kx))
elif self.posterior.woodbury_inv.ndim == 3:
var = np.empty((Kxx.shape[0],Kxx.shape[1],self.posterior.woodbury_inv.shape[2]))
for i in range(var.shape[2]):
var[:, :, i] = (Kxx - mdot(Kx.T, self.posterior.woodbury_inv[:, :, i], Kx))
var = var
else:
Kxx = kern.Kdiag(Xnew)
if self.posterior.woodbury_inv.ndim == 2:
var = (Kxx - np.sum(np.dot(self.posterior.woodbury_inv.T, Kx) * Kx, 0))[:,None]
elif self.posterior.woodbury_inv.ndim == 3:
var = np.empty((Kxx.shape[0],self.posterior.woodbury_inv.shape[2]))
for i in range(var.shape[1]):
var[:, i] = (Kxx - (np.sum(np.dot(self.posterior.woodbury_inv[:, :, i].T, Kx) * Kx, 0)))
var = var
#add in the mean function
if self.mean_function is not None:
mu += self.mean_function.f(Xnew)
# Kx = kern.K(self._predictive_variable, Xnew)
# mu = np.dot(Kx.T, self.posterior.woodbury_vector)
# if full_cov:
# Kxx = kern.K(Xnew)
# if self.posterior.woodbury_inv.ndim == 2:
# var = Kxx - np.dot(Kx.T, np.dot(self.posterior.woodbury_inv, Kx))
# elif self.posterior.woodbury_inv.ndim == 3:
# var = np.empty((Kxx.shape[0],Kxx.shape[1],self.posterior.woodbury_inv.shape[2]))
# for i in range(var.shape[2]):
# var[:, :, i] = (Kxx - mdot(Kx.T, self.posterior.woodbury_inv[:, :, i], Kx))
# var = var
# else:
# Kxx = kern.Kdiag(Xnew)
# if self.posterior.woodbury_inv.ndim == 2:
# var = (Kxx - np.sum(np.dot(self.posterior.woodbury_inv.T, Kx) * Kx, 0))[:,None]
# elif self.posterior.woodbury_inv.ndim == 3:
# var = np.empty((Kxx.shape[0],self.posterior.woodbury_inv.shape[2]))
# for i in range(var.shape[1]):
# var[:, i] = (Kxx - (np.sum(np.dot(self.posterior.woodbury_inv[:, :, i].T, Kx) * Kx, 0)))
# var = var
# #add in the mean function
# if self.mean_function is not None:
# mu += self.mean_function.f(Xnew)
mu, var = super(SparseGP, self)._raw_predict(Xnew, full_cov, kern)
else:
psi0_star = kern.psi0(self._predictive_variable, Xnew)
psi1_star = kern.psi1(self._predictive_variable, Xnew)
@ -159,7 +160,7 @@ class SparseGP(GP):
mu = np.dot(psi1_star, la) # TODO: dimensions?
if full_cov:
raise NotImplementedError, "Full covariance for Sparse GP predicted with uncertain inputs not implemented yet."
raise NotImplementedError("Full covariance for Sparse GP predicted with uncertain inputs not implemented yet.")
var = np.empty((Xnew.shape[0], la.shape[1], la.shape[1]))
di = np.diag_indices(la.shape[1])
else:

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@ -171,7 +171,7 @@ class Laplace(LatentFunctionInference):
#define the objective function (to be maximised)
def obj(Ki_f, f):
ll = -0.5*np.sum(np.dot(Ki_f.T, f)) + np.sum(likelihood.logpdf(f, Y, Y_metadata=Y_metadata))
print ll
print(ll)
if np.isnan(ll):
import ipdb; ipdb.set_trace() # XXX BREAKPOINT
return -np.inf

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@ -40,7 +40,7 @@ class SparseGPMissing(StochasticStorage):
bdict = {}
#For N > 1000 array2string default crops
opt = np.get_printoptions()
np.set_printoptions(threshold='nan')
np.set_printoptions(threshold=np.inf)
for d in range(self.Y.shape[1]):
inan = np.isnan(self.Y)[:, d]
arr_str = np.array2string(inan, np.inf, 0, True, '', formatter={'bool':lambda x: '1' if x else '0'})
@ -74,7 +74,7 @@ class SparseGPStochastics(StochasticStorage):
bdict = {}
if self.missing_data:
opt = np.get_printoptions()
np.set_printoptions(threshold='nan')
np.set_printoptions(threshold=np.inf)
for d in self.d:
inan = np.isnan(self.Y[:, d])
arr_str = np.array2string(inan,np.inf, 0,True, '',formatter={'bool':lambda x: '1' if x else '0'})

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@ -48,7 +48,7 @@ class Gaussian(Likelihood):
def betaY(self,Y,Y_metadata=None):
#TODO: ~Ricardo this does not live here
raise RuntimeError, "Please notify the GPy developers, this should not happen"
raise RuntimeError("Please notify the GPy developers, this should not happen")
return Y/self.gaussian_variance(Y_metadata)
def gaussian_variance(self, Y_metadata=None):

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@ -2,6 +2,7 @@
# Licensed under the BSD 3-clause license (see LICENSE.txt)
import numpy as np
import scipy
from ..util.univariate_Gaussian import std_norm_cdf, std_norm_pdf
import scipy as sp
from ..util.misc import safe_exp, safe_square, safe_cube, safe_quad, safe_three_times
@ -67,7 +68,7 @@ class Probit(GPTransformation):
.. math::
g(f) = \\Phi^{-1} (mu)
"""
def transf(self,f):
return std_norm_cdf(f)
@ -140,7 +141,7 @@ class Log_ex_1(GPTransformation):
"""
def transf(self,f):
return np.log1p(safe_exp(f))
return scipy.log1p(safe_exp(f))
def dtransf_df(self,f):
ef = safe_exp(f)

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@ -26,12 +26,12 @@ class GPRegression(GP):
"""
def __init__(self, X, Y, kernel=None, Y_metadata=None, normalizer=None, noise_var=1.):
def __init__(self, X, Y, kernel=None, Y_metadata=None, normalizer=None, noise_var=1., mean_function=None):
if kernel is None:
kernel = kern.RBF(X.shape[1])
likelihood = likelihoods.Gaussian(variance=noise_var)
super(GPRegression, self).__init__(X, Y, kernel, likelihood, name='GP regression', Y_metadata=Y_metadata, normalizer=normalizer)
super(GPRegression, self).__init__(X, Y, kernel, likelihood, name='GP regression', Y_metadata=Y_metadata, normalizer=normalizer, mean_function=mean_function)

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@ -3,7 +3,7 @@
import numpy as np
from . import Tango
from base_plots import gpplot, x_frame1D, x_frame2D,gperrors
from .base_plots import gpplot, x_frame1D, x_frame2D,gperrors
from ...models.gp_coregionalized_regression import GPCoregionalizedRegression
from ...models.sparse_gp_coregionalized_regression import SparseGPCoregionalizedRegression
from scipy import sparse
@ -186,8 +186,8 @@ def plot_fit(model, plot_limits=None, which_data_rows='all',
#optionally plot some samples
if samples: #NOTE not tested with fixed_inputs
Ysim = model.posterior_samples(Xgrid, samples, Y_metadata=Y_metadata)
print Ysim.shape
print Xnew.shape
print(Ysim.shape)
print(Xnew.shape)
for yi in Ysim.T:
plots['posterior_samples'] = ax.plot(Xnew, yi[:,None], '#3300FF', linewidth=0.25)
#ax.plot(Xnew, yi[:,None], marker='x', linestyle='--',color=Tango.colorsHex['darkBlue']) #TODO apply this line for discrete outputs.

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@ -0,0 +1,37 @@
'''
Created on 4 Sep 2015
@author: maxz
'''
import unittest
from GPy.util.caching import Cacher
from pickle import PickleError
class Test(unittest.TestCase):
def setUp(self):
def op(x):
return x
self.cache = Cacher(op, 1)
def test_pickling(self):
self.assertRaises(PickleError, self.cache.__getstate__)
self.assertRaises(PickleError, self.cache.__setstate__)
def test_copy(self):
tmp = self.cache.__deepcopy__()
assert(tmp.operation is self.cache.operation)
self.assertEqual(tmp.limit, self.cache.limit)
def test_reset(self):
self.cache.reset()
self.assertDictEqual(self.cache.cached_input_ids, {}, )
self.assertDictEqual(self.cache.cached_outputs, {}, )
self.assertDictEqual(self.cache.inputs_changed, {}, )
def test_name(self):
assert(self.cache.__name__ == self.cache.operation.__name__)
if __name__ == "__main__":
#import sys;sys.argv = ['', 'Test.testName']
unittest.main()

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@ -6,7 +6,7 @@ from ..util.config import config
import unittest
try:
from . import linalg_cython
from ..util import linalg_cython
config.set('cython', 'working', 'True')
except ImportError:
config.set('cython', 'working', 'False')

99
GPy/testing/gp_tests.py Normal file
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@ -0,0 +1,99 @@
'''
Created on 4 Sep 2015
@author: maxz
'''
import unittest
import numpy as np, GPy
from GPy.core.parameterization.variational import NormalPosterior
class Test(unittest.TestCase):
def setUp(self):
np.random.seed(12345)
self.N = 20
self.N_new = 50
self.D = 1
self.X = np.random.uniform(-3., 3., (self.N, 1))
self.Y = np.sin(self.X) + np.random.randn(self.N, self.D) * 0.05
self.X_new = np.random.uniform(-3., 3., (self.N_new, 1))
def test_setxy_bgplvm(self):
k = GPy.kern.RBF(1)
m = GPy.models.BayesianGPLVM(self.Y, 2, kernel=k)
mu, var = m.predict(m.X)
X = m.X.copy()
Xnew = NormalPosterior(m.X.mean[:10].copy(), m.X.variance[:10].copy())
m.set_XY(Xnew, m.Y[:10])
assert(m.checkgrad())
m.set_XY(X, self.Y)
mu2, var2 = m.predict(m.X)
np.testing.assert_allclose(mu, mu2)
np.testing.assert_allclose(var, var2)
def test_setxy_gplvm(self):
k = GPy.kern.RBF(1)
m = GPy.models.GPLVM(self.Y, 2, kernel=k)
mu, var = m.predict(m.X)
X = m.X.copy()
Xnew = X[:10].copy()
m.set_XY(Xnew, m.Y[:10])
assert(m.checkgrad())
m.set_XY(X, self.Y)
mu2, var2 = m.predict(m.X)
np.testing.assert_allclose(mu, mu2)
np.testing.assert_allclose(var, var2)
def test_setxy_gp(self):
k = GPy.kern.RBF(1)
m = GPy.models.GPRegression(self.X, self.Y, kernel=k)
mu, var = m.predict(m.X)
X = m.X.copy()
m.set_XY(m.X[:10], m.Y[:10])
assert(m.checkgrad())
m.set_XY(X, self.Y)
mu2, var2 = m.predict(m.X)
np.testing.assert_allclose(mu, mu2)
np.testing.assert_allclose(var, var2)
def test_mean_function(self):
from GPy.core.parameterization.param import Param
from GPy.core.mapping import Mapping
class Parabola(Mapping):
def __init__(self, variance, degree=2, name='parabola'):
super(Parabola, self).__init__(1, 1, name)
self.variance = Param('variance', np.ones(degree+1) * variance)
self.degree = degree
self.link_parameter(self.variance)
def f(self, X):
p = self.variance[0] * np.ones(X.shape)
for i in range(1, self.degree+1):
p += self.variance[i] * X**(i)
return p
def gradients_X(self, dL_dF, X):
grad = np.zeros(X.shape)
for i in range(1, self.degree+1):
grad += (i) * self.variance[i] * X**(i-1)
return grad
def update_gradients(self, dL_dF, X):
for i in range(self.degree+1):
self.variance.gradient[i] = (dL_dF * X**(i)).sum(0)
X = np.linspace(-2, 2, 100)[:, None]
k = GPy.kern.RBF(1)
k.randomize()
p = Parabola(.3)
p.randomize()
Y = p.f(X) + np.random.multivariate_normal(np.zeros(X.shape[0]), k.K(X))[:,None] + np.random.normal(0, .1, (X.shape[0], 1))
m = GPy.models.GPRegression(X, Y, mean_function=p)
m.randomize()
assert(m.checkgrad())
_ = m.predict(m.X)
if __name__ == "__main__":
#import sys;sys.argv = ['', 'Test.testName']
unittest.main()

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@ -11,7 +11,7 @@ from ..util.config import config
verbose = 0
try:
from . import linalg_cython
from ..util import linalg_cython
config.set('cython', 'working', 'True')
except ImportError:
config.set('cython', 'working', 'False')

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@ -1,3 +1,4 @@
from __future__ import print_function
import numpy as np
import scipy as sp
import GPy
@ -18,8 +19,8 @@ class MiscTests(np.testing.TestCase):
assert np.isinf(np.exp(self._lim_val_exp + 1))
assert np.isfinite(GPy.util.misc.safe_exp(self._lim_val_exp + 1))
print w
print len(w)
print(w)
print(len(w))
assert len(w)==1 # should have one overflow warning
def test_safe_exp_lower(self):

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@ -55,13 +55,44 @@ class MiscTests(unittest.TestCase):
np.testing.assert_allclose(mu1, (mu2*std)+mu)
np.testing.assert_allclose(var1, var2)
q50n = m.predict_quantiles(m.X, (50,))
q50 = m2.predict_quantiles(m2.X, (50,))
np.testing.assert_allclose(q50n[0], (q50[0]*std)+mu)
def check_jacobian(self):
try:
import autograd.numpy as np, autograd as ag, GPy, matplotlib.pyplot as plt
except:
raise self.skipTest("autograd not available to check gradients")
def k(X, X2, alpha=1., lengthscale=None):
if lengthscale is None:
lengthscale = np.ones(X.shape[1])
exp = 0.
for q in range(X.shape[1]):
exp += ((X[:, [q]] - X2[:, [q]].T)/lengthscale[q])**2
#exp = np.sqrt(exp)
return alpha * np.exp(-.5*exp)
dk = ag.elementwise_grad(lambda x, x2: k(x, x2, alpha=ke.variance.values, lengthscale=ke.lengthscale.values))
dkdk = ag.elementwise_grad(dk, argnum=1)
ke = GPy.kern.RBF(1, ARD=True)
#ke.randomize()
ke.variance = .2#.randomize()
ke.lengthscale[:] = .5
ke.randomize()
X = np.linspace(-1, 1, 1000)[:,None]
X2 = np.array([[0.]]).T
np.testing.assert_allclose(ke.gradients_X([[1.]], X, X), dk(X, X))
np.testing.assert_allclose(ke.gradients_XX([[1.]], X, X).sum(0), dkdk(X, X))
np.testing.assert_allclose(ke.gradients_X([[1.]], X, X2), dk(X, X2))
np.testing.assert_allclose(ke.gradients_XX([[1.]], X, X2).sum(0), dkdk(X, X2))
def test_sparse_raw_predict(self):
k = GPy.kern.RBF(1)
m = GPy.models.SparseGPRegression(self.X, self.Y, kernel=k)
m.randomize()
Z = m.Z[:]
X = self.X[:]
# Not easy to check if woodbury_inv is correct in itself as it requires a large derivation and expression
Kinv = m.posterior.woodbury_inv
@ -147,11 +178,24 @@ class MiscTests(unittest.TestCase):
m = BayesianGPLVMMiniBatch(Ymissing, Q, init="random", num_inducing=num_inducing,
kernel=k, missing_data=True)
assert(m.checkgrad())
mul, varl = m.predict(m.X)
k = kern.RBF(Q, ARD=True) + kern.White(Q, np.exp(-2)) # + kern.bias(Q)
m = BayesianGPLVMMiniBatch(Ymissing, Q, init="random", num_inducing=num_inducing,
m2 = BayesianGPLVMMiniBatch(Ymissing, Q, init="random", num_inducing=num_inducing,
kernel=k, missing_data=True)
assert(m.checkgrad())
m2.kern.rbf.lengthscale[:] = 1e6
m2.X[:] = m.X.param_array
m2.likelihood[:] = m.likelihood[:]
m2.kern.white[:] = m.kern.white[:]
mu, var = m.predict(m.X)
np.testing.assert_allclose(mul, mu)
np.testing.assert_allclose(varl, var)
q50 = m.predict_quantiles(m.X, (50,))
np.testing.assert_allclose(mul, q50[0])
def test_likelihood_replicate_kern(self):
m = GPy.models.GPRegression(self.X, self.Y)

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@ -1 +1 @@
nosetests . --with-coverage --cover-html --cover-html-dir=coverage --cover-package=GPy --cover-erase
nosetests . --with-coverage --logging-level=INFO --cover-html --cover-html-dir=coverage --cover-package=GPy --cover-erase