GPy/GPy/likelihoods/mixed_noise.py
2014-03-12 12:52:52 +00:00

58 lines
2.2 KiB
Python

import numpy as np
from scipy import stats, special
from GPy.util.univariate_Gaussian import std_norm_pdf, std_norm_cdf
import link_functions
from likelihood import Likelihood
from ..core.parameterization import Param
from ..core.parameterization.transformations import Logexp
from ..core.parameterization import Parameterized
import itertools
class MixedNoise(Likelihood):
def __init__(self, likelihoods_list, noise_index, variance = None, name='mixed_noise'):
Nlike = len(likelihoods_list)
self.order = np.unique(noise_index)
assert self.order.size == Nlike
if variance is None:
variance = np.ones(Nlike)
else:
assert variance.size == Nlike
super(Likelihood, self).__init__(name=name)
self.add_parameters(*likelihoods_list)
self.likelihoods_list = likelihoods_list
self.noise_index = noise_index
self.log_concave = False
self.likelihoods_indices = [noise_index.flatten()==j for j in self.order]
def covariance_matrix(self, Y, noise_index, **Y_metadata):
variance = np.zeros(Y.shape[0])
for lik, ind in itertools.izip(self.likelihoods_list, self.likelihoods_indices):
variance[ind] = lik.variance
return np.diag(variance)
def update_gradients(self, partial, noise_index, **Y_metadata):
[lik.update_gradients(partial[ind]) for lik,ind in itertools.izip(self.likelihoods_list, self.likelihoods_indices)]
def predictive_values(self, mu, var, full_cov=False, noise_index=None, **Y_metadata):
_variance = np.array([ self.likelihoods_list[j].variance for j in noise_index ])
if full_cov:
var += np.eye(var.shape[0])*_variance
d = 2*np.sqrt(np.diag(var))
low, up = mu - d, mu + d
else:
var += _variance
d = 2*np.sqrt(var)
low, up = mu - d, mu + d
return mu, var, low, up
def predictive_variance(self, mu, sigma, noise_index, predictive_mean=None, **Y_metadata):
if isinstance(noise_index,int):
_variance = self.variance[noise_index]
else:
_variance = np.array([ self.variance[j] for j in noise_index ])[:,None]
return _variance + sigma**2