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Merge branch 'devel' of https://github.com/SheffieldML/GPy into devel
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commit
970df9b88e
52 changed files with 2183 additions and 772 deletions
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@ -50,31 +50,29 @@ class SpikeAndSlabPrior(VariationalPrior):
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def KL_divergence(self, variational_posterior):
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mu = variational_posterior.mean
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S = variational_posterior.variance
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gamma,gamma1 = variational_posterior.gamma_probabilities()
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log_gamma,log_gamma1 = variational_posterior.gamma_log_prob()
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gamma = variational_posterior.gamma.values
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if len(self.pi.shape)==2:
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idx = np.unique(gamma._raveled_index()/gamma.shape[-1])
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idx = np.unique(variational_posterior.gamma._raveled_index()/gamma.shape[-1])
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pi = self.pi[idx]
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else:
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pi = self.pi
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var_mean = np.square(mu)/self.variance
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var_S = (S/self.variance - np.log(S))
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var_gamma = (gamma*(log_gamma-np.log(pi))).sum()+(gamma1*(log_gamma1-np.log(1-pi))).sum()
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var_gamma = (gamma*np.log(gamma/pi)).sum()+((1-gamma)*np.log((1-gamma)/(1-pi))).sum()
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return var_gamma+ (gamma* (np.log(self.variance)-1. +var_mean + var_S)).sum()/2.
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def update_gradients_KL(self, variational_posterior):
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mu = variational_posterior.mean
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S = variational_posterior.variance
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gamma,gamma1 = variational_posterior.gamma_probabilities()
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log_gamma,log_gamma1 = variational_posterior.gamma_log_prob()
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gamma = variational_posterior.gamma.values
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if len(self.pi.shape)==2:
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idx = np.unique(gamma._raveled_index()/gamma.shape[-1])
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idx = np.unique(variational_posterior.gamma._raveled_index()/gamma.shape[-1])
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pi = self.pi[idx]
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else:
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pi = self.pi
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variational_posterior.binary_prob.gradient -= (np.log((1-pi)/pi)+log_gamma-log_gamma1+((np.square(mu)+S)/self.variance-np.log(S)+np.log(self.variance)-1.)/2.)*gamma*gamma1
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variational_posterior.binary_prob.gradient -= np.log((1-pi)/pi*gamma/(1.-gamma))+((np.square(mu)+S)/self.variance-np.log(S)+np.log(self.variance)-1.)/2.
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mu.gradient -= gamma*mu/self.variance
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S.gradient -= (1./self.variance - 1./S) * gamma /2.
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if self.learnPi:
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@ -161,24 +159,8 @@ class SpikeAndSlabPosterior(VariationalPosterior):
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binary_prob : the probability of the distribution on the slab part.
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"""
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super(SpikeAndSlabPosterior, self).__init__(means, variances, name)
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self.gamma = Param("binary_prob",binary_prob)
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self.gamma = Param("binary_prob",binary_prob,Logistic(0.,1.))
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self.link_parameter(self.gamma)
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@Cache_this(limit=5)
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def gamma_probabilities(self):
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prob = np.zeros_like(param_to_array(self.gamma))
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prob[self.gamma>-710] = 1./(1.+np.exp(-self.gamma[self.gamma>-710]))
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prob1 = -np.zeros_like(param_to_array(self.gamma))
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prob1[self.gamma<710] = 1./(1.+np.exp(self.gamma[self.gamma<710]))
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return prob, prob1
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@Cache_this(limit=5)
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def gamma_log_prob(self):
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loggamma = param_to_array(self.gamma).copy()
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loggamma[loggamma>-40] = -np.log1p(np.exp(-loggamma[loggamma>-40]))
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loggamma1 = -param_to_array(self.gamma).copy()
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loggamma1[loggamma1>-40] = -np.log1p(np.exp(-loggamma1[loggamma1>-40]))
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return loggamma,loggamma1
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def set_gradients(self, grad):
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self.mean.gradient, self.variance.gradient, self.gamma.gradient = grad
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