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bias kernel psi stats implemented.
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commit
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6 changed files with 170 additions and 113 deletions
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@ -9,3 +9,4 @@ from warped_GP import warpedGP
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from GP_EP import GP_EP
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from generalized_FITC import generalized_FITC
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from sparse_GPLVM import sparse_GPLVM
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from uncertain_input_GP_regression import uncertain_input_GP_regression
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@ -7,7 +7,7 @@ from ..util.linalg import mdot, jitchol, chol_inv, pdinv
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from ..util.plot import gpplot
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from .. import kern
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from ..inference.likelihoods import likelihood
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from GP_regression import GP_regression
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from sparse_GP_regression import sparse_GP_regression
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class uncertain_input_GP_regression(sparse_GP_regression):
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"""
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@ -33,6 +33,7 @@ class uncertain_input_GP_regression(sparse_GP_regression):
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"""
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def __init__(self,X,Y,X_uncertainty,kernel=None, beta=100., Z=None,Zslices=None,M=10,normalize_X=False,normalize_Y=False):
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self.X_uncertainty = X_uncertainty
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sparse_GP_regression.__init__(self, X, Y, kernel = kernel, beta = beta, normalize_X = normalize_X, normalize_Y = normalize_Y)
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self.trYYT = np.sum(np.square(self.Y))
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@ -40,22 +41,22 @@ class uncertain_input_GP_regression(sparse_GP_regression):
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# kernel computations, using BGPLVM notation
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#TODO: slices for psi statistics (easy enough)
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self.Kmm = self.kern.K(self.Z)
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self.psi0 = self.kern.psi0(self.X,slices=self.Xslices).sum()
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self.psi1 = self.kern.psi1(self.Z,self.X, self.X_uncertainty)
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self.psi0 = self.kern.psi0(self.Z,self.X, self.X_uncertainty).sum()
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self.psi1 = self.kern.psi1(self.Z,self.X, self.X_uncertainty).T
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self.psi2 = self.kern.psi2(self.Z,self.X, self.X_uncertainty)
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def dL_dtheta(self):
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#re-cast computations in psi2 back to psi1:
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dL_dtheta = self.kern.dK_dtheta(self.dL_dKmm,self.Z)
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dL_dtheta += self.kern.dpsi0_dtheta(self.dL_dpsi0, self.Z,self.X,self.X_uncertainty)
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dL_dtheta += self.kern.dpsi1_dtheta(self.dL_dpsi1,self.Z,self.X, self.X_uncertainty)
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dL_dtheta += self.kern.dpsi2_dtheta(self.dL_dpsi2,self.Z,self.X, self.X_uncertainty)
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dL_dtheta += self.kern.dpsi1_dtheta(self.dL_dpsi1.T,self.Z,self.X, self.X_uncertainty)
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dL_dtheta += self.kern.dpsi2_dtheta(self.dL_dpsi2,self.Z,self.X, self.X_uncertainty) # for multiple_beta, dL_dpsi2 will be a different shape
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return dL_dtheta
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def dL_dZ(self):
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dL_dZ = 2.*self.kern.dK_dX(self.dL_dKmm,self.Z,)#factor of two becase of vertical and horizontal 'stripes' in dKmm_dZ
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dL_dZ += self.kern.dpsi1_dZ(dL_dpsi1,self.Z,self.X, self.X_uncertainty)
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dL_dZ += self.kern.dpsi2_dZ(dL_dpsi2,self.Z,self.X, self.X_uncertainty)
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dL_dZ += self.kern.dpsi1_dZ(self.dL_dpsi1.T,self.Z,self.X, self.X_uncertainty)
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dL_dZ += self.kern.dpsi2_dZ(self.dL_dpsi2,self.Z,self.X, self.X_uncertainty)
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return dL_dZ
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def plot(self,*args,**kwargs):
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@ -65,5 +66,5 @@ class uncertain_input_GP_regression(sparse_GP_regression):
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"""
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sparse_GP_regression.plot(self,*args,**kwargs)
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if self.Q==1:
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pb.errorbar(self.X[:,0], pb.ylim(0) ,xerr=2*np.sqrt(self.X_uncertainty.flatten()))
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pb.errorbar(self.X[:,0], pb.ylim()[0]+np.zeros(self.N), xerr=2*np.sqrt(self.X_uncertainty.flatten()))
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