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removed log_likelihood_gradients_transformed, now everything is done in the objective functions
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1 changed files with 32 additions and 31 deletions
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@ -121,9 +121,6 @@ class model(parameterised):
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else:
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raise AttributeError, "no parameter matches %s"%name
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def log_prior(self):
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"""evaluate the prior"""
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return np.sum([p.lnpdf(x) for p, x in zip(self.priors,self._get_params()) if p is not None])
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@ -135,12 +132,11 @@ class model(parameterised):
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[np.put(ret,i,p.lnpdf_grad(xx)) for i,(p,xx) in enumerate(zip(self.priors,x)) if not p is None]
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return ret
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def _log_likelihood_gradients_transformed(self):
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def _transform_gradients(self, g):
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"""
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Use self.log_likelihood_gradients and self.prior_gradients to get the gradients of the model.
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Adjust the gradient for constraints and ties, return.
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Takes a list of gradients and return an array of transformed gradients (positive/negative/tied/and so on)
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"""
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g = self._log_likelihood_gradients() + self._log_prior_gradients()
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x = self._get_params()
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g[self.constrained_positive_indices] = g[self.constrained_positive_indices]*x[self.constrained_positive_indices]
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g[self.constrained_negative_indices] = g[self.constrained_negative_indices]*x[self.constrained_negative_indices]
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@ -152,6 +148,7 @@ class model(parameterised):
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else:
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return g
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def randomize(self):
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"""
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Randomize the model.
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@ -241,6 +238,27 @@ class model(parameterised):
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print "Warning! constraining %s postive"%name
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def objective_function(self, x):
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"""
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The objective function passed to the optimizer. It combines the likelihood and the priors.
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"""
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self._set_params_transformed(x)
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return -self.log_likelihood() - self.log_prior()
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def objective_function_gradients(self, x):
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"""
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Gets the gradients from the likelihood and the priors.
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"""
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self._set_params_transformed(x)
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LL_gradients = self._transform_gradients(self._log_likelihood_gradients())
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prior_gradients = self._transform_gradients(self._log_prior_gradients())
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return -LL_gradients - prior_gradients
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def objective_and_gradients(self, x):
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obj_f = self.objective_function(x)
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obj_grads = self.objective_function_gradients(x)
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return obj_f, obj_grads
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def optimize(self, optimizer=None, start=None, **kwargs):
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"""
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Optimize the model using self.log_likelihood and self.log_likelihood_gradient, as well as self.priors.
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@ -254,22 +272,12 @@ class model(parameterised):
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if optimizer is None:
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optimizer = self.preferred_optimizer
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def f(x):
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self._set_params_transformed(x)
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return -self.log_likelihood()-self.log_prior()
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def fp(x):
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self._set_params_transformed(x)
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return -self._log_likelihood_gradients_transformed()
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def f_fp(x):
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self._set_params_transformed(x)
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return -self.log_likelihood()-self.log_prior(),-self._log_likelihood_gradients_transformed()
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if start == None:
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start = self._get_params_transformed()
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optimizer = optimization.get_optimizer(optimizer)
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opt = optimizer(start, model = self, **kwargs)
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opt.run(f_fp=f_fp, f=f, fp=fp)
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opt.run(f_fp=self.objective_and_gradients, f=self.objective_function, fp=self.objective_function_gradients)
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self.optimization_runs.append(opt)
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self._set_params_transformed(opt.x_opt)
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@ -357,12 +365,9 @@ class model(parameterised):
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dx = step*np.sign(np.random.uniform(-1,1,x.size))
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#evaulate around the point x
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self._set_params_transformed(x+dx)
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f1,g1 = self.log_likelihood() + self.log_prior(), self._log_likelihood_gradients_transformed()
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self._set_params_transformed(x-dx)
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f2,g2 = self.log_likelihood() + self.log_prior(), self._log_likelihood_gradients_transformed()
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self._set_params_transformed(x)
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gradient = self._log_likelihood_gradients_transformed()
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f1, g1 = self.objective_and_gradients(x+dx)
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f2, g2 = self.objective_and_gradients(x-dx)
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gradient = self.objective_function_gradients(x)
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numerical_gradient = (f1-f2)/(2*dx)
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global_ratio = (f1-f2)/(2*np.dot(dx,gradient))
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@ -398,14 +403,10 @@ class model(parameterised):
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for i in param_list:
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xx = x.copy()
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xx[i] += step
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self._set_params_transformed(xx)
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f1,g1 = self.log_likelihood() + self.log_prior(), self._log_likelihood_gradients_transformed()[i]
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f1, g1 = self.objective_and_gradients(xx)
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xx[i] -= 2.*step
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self._set_params_transformed(xx)
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f2,g2 = self.log_likelihood() + self.log_prior(), self._log_likelihood_gradients_transformed()[i]
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self._set_params_transformed(x)
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gradient = self._log_likelihood_gradients_transformed()[i]
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f2, g2 = self.objective_and_gradients(xx)
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gradient = self.objective_function_gradients(x)[i]
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numerical_gradient = (f1-f2)/(2*step)
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ratio = (f1-f2)/(2*step*gradient)
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