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fixing EP and merging it with GP_regression
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7 changed files with 403 additions and 93 deletions
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@ -60,7 +60,7 @@ class Full(EP):
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def fit_EP(self):
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"""
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The expectation-propagation algorithm.
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For nomenclature see Rasmussen & Williams 2006 (pag. 52-60)
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For nomenclature see Rasmussen & Williams 2006.
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"""
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#Prior distribution parameters: p(f|X) = N(f|0,K)
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#self.K = self.kernel.K(self.X,self.X)
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@ -84,8 +84,6 @@ class Full(EP):
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phi = np.empty(self.N,dtype=float)
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mu_hat = np.empty(self.N,dtype=float)
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sigma2_hat = np.empty(self.N,dtype=float)
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self.mu_hat = mu_hat #TODO erase me
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self.sigma2_hat = sigma2_hat #TODO erase me
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#Approximation
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epsilon_np1 = self.epsilon + 1.
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@ -95,21 +93,16 @@ class Full(EP):
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self.np2 = [self.v_tilde.copy()]
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while epsilon_np1 > self.epsilon or epsilon_np2 > self.epsilon:
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update_order = np.arange(self.N)
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#random.shuffle(update_order) #TODO uncomment
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random.shuffle(update_order)
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for i in update_order:
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#Cavity distribution parameters
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self.tau_[i] = 1./self.Sigma[i,i] - self.eta*self.tau_tilde[i]
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self.v_[i] = self.mu[i]/self.Sigma[i,i] - self.eta*self.v_tilde[i]
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#Marginal moments
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self.Z_hat[i], mu_hat[i], sigma2_hat[i] = self.likelihood.moments_match(i,self.tau_[i],self.v_[i])
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self.mu_hat[i] = mu_hat[i] #TODO erase me
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self.sigma2_hat[i] = sigma2_hat[i] #TODO erase me
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#if i == 3:
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# a = b
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#Site parameters update
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Delta_tau = self.delta/self.eta*(1./sigma2_hat[i] - 1./self.Sigma[i,i])
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Delta_v = self.delta/self.eta*(mu_hat[i]/sigma2_hat[i] - self.mu[i]/self.Sigma[i,i])
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print Delta_tau
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self.tau_tilde[i] = self.tau_tilde[i] + Delta_tau
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self.v_tilde[i] = self.v_tilde[i] + Delta_v
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#Posterior distribution parameters update
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@ -128,6 +121,7 @@ class Full(EP):
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epsilon_np2 = sum((self.v_tilde-self.np2[-1])**2)/self.N
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self.np1.append(self.tau_tilde.copy())
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self.np2.append(self.v_tilde.copy())
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return self.tau_tilde[:,None], self.v_tilde[:,None], self.Z_hat[:,None], self.tau_[:,None], self.v_[:,None]
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class DTC(EP):
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def fit_EP(self):
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