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Pull branch 'devel' of github.com:SheffieldML/GPy into devel
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commit
7bc76b0ef9
4 changed files with 148 additions and 28 deletions
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@ -13,6 +13,7 @@ import priors
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from ..util.linalg import jitchol
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from ..inference import optimization
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from .. import likelihoods
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import re
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class model(parameterised):
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def __init__(self):
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@ -245,7 +246,7 @@ class model(parameterised):
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for s in positive_strings:
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for i in self.grep_param_names(s):
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if not (i in currently_constrained):
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to_make_positive.append(param_names[i])
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to_make_positive.append(re.escape(param_names[i]))
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if warn:
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print "Warning! constraining %s postive" % name
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if len(to_make_positive):
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@ -2,5 +2,9 @@
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# Licensed under the BSD 3-clause license (see LICENSE.txt)
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from constructors import rbf, Matern32, Matern52, exponential, linear, white, bias, finite_dimensional, spline, Brownian, rbf_sympy, sympykern, periodic_exponential, periodic_Matern32, periodic_Matern52, prod, prod_orthogonal, symmetric, coregionalise, rational_quadratic, fixed, rbfcos
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from constructors import rbf, Matern32, Matern52, exponential, linear, white, bias, finite_dimensional, spline, Brownian, periodic_exponential, periodic_Matern32, periodic_Matern52, prod, prod_orthogonal, symmetric, coregionalise, rational_quadratic, fixed, rbfcos, independent_outputs
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try:
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from constructors import rbf_sympy, sympykern # these depend on sympy
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except:
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pass
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from kern import kern
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@ -25,6 +25,7 @@ from symmetric import symmetric as symmetric_part
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from coregionalise import coregionalise as coregionalise_part
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from rational_quadratic import rational_quadratic as rational_quadraticpart
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from rbfcos import rbfcos as rbfcospart
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from independent_outputs import independent_outputs as independent_output_part
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#TODO these s=constructors are not as clean as we'd like. Tidy the code up
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#using meta-classes to make the objects construct properly wthout them.
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@ -165,34 +166,40 @@ def Brownian(D,variance=1.):
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part = Brownianpart(D,variance)
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return kern(D, [part])
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import sympy as sp
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from sympykern import spkern
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from sympy.parsing.sympy_parser import parse_expr
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try:
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import sympy as sp
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from sympykern import spkern
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from sympy.parsing.sympy_parser import parse_expr
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sympy_available = True
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except ImportError:
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sympy_available = False
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def rbf_sympy(D,ARD=False,variance=1., lengthscale=1.):
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"""
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Radial Basis Function covariance.
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"""
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X = [sp.var('x%i'%i) for i in range(D)]
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Z = [sp.var('z%i'%i) for i in range(D)]
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rbf_variance = sp.var('rbf_variance',positive=True)
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if ARD:
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rbf_lengthscales = [sp.var('rbf_lengthscale_%i'%i,positive=True) for i in range(D)]
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dist_string = ' + '.join(['(x%i-z%i)**2/rbf_lengthscale_%i**2'%(i,i,i) for i in range(D)])
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dist = parse_expr(dist_string)
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f = rbf_variance*sp.exp(-dist/2.)
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else:
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rbf_lengthscale = sp.var('rbf_lengthscale',positive=True)
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dist_string = ' + '.join(['(x%i-z%i)**2'%(i,i) for i in range(D)])
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dist = parse_expr(dist_string)
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f = rbf_variance*sp.exp(-dist/(2*rbf_lengthscale**2))
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return kern(D,[spkern(D,f)])
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if sympy_available:
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def rbf_sympy(D,ARD=False,variance=1., lengthscale=1.):
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"""
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Radial Basis Function covariance.
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"""
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X = [sp.var('x%i'%i) for i in range(D)]
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Z = [sp.var('z%i'%i) for i in range(D)]
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rbf_variance = sp.var('rbf_variance',positive=True)
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if ARD:
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rbf_lengthscales = [sp.var('rbf_lengthscale_%i'%i,positive=True) for i in range(D)]
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dist_string = ' + '.join(['(x%i-z%i)**2/rbf_lengthscale_%i**2'%(i,i,i) for i in range(D)])
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dist = parse_expr(dist_string)
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f = rbf_variance*sp.exp(-dist/2.)
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else:
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rbf_lengthscale = sp.var('rbf_lengthscale',positive=True)
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dist_string = ' + '.join(['(x%i-z%i)**2'%(i,i) for i in range(D)])
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dist = parse_expr(dist_string)
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f = rbf_variance*sp.exp(-dist/(2*rbf_lengthscale**2))
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return kern(D,[spkern(D,f)])
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def sympykern(D,k):
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"""
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A kernel from a symbolic sympy representation
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"""
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return kern(D,[spkern(D,k)])
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def sympykern(D,k):
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"""
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A kernel from a symbolic sympy representation
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"""
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return kern(D,[spkern(D,k)])
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del sympy_available
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def periodic_exponential(D=1,variance=1., lengthscale=None, period=2*np.pi,n_freq=10,lower=0.,upper=4*np.pi):
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"""
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@ -318,3 +325,14 @@ def rbfcos(D,variance=1.,frequencies=None,bandwidths=None,ARD=False):
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"""
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part = rbfcospart(D,variance,frequencies,bandwidths,ARD)
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return kern(D,[part])
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def independent_outputs(k):
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"""
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Construct a kernel with independent outputs from an existing kernel
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"""
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for sl in k.input_slices:
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assert (sl.start is None) and (sl.stop is None), "cannot adjust input slices! (TODO)"
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parts = [independent_output_part(p) for p in k.parts]
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return kern(k.D+1,parts)
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97
GPy/kern/independent_outputs.py
Normal file
97
GPy/kern/independent_outputs.py
Normal file
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@ -0,0 +1,97 @@
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# Copyright (c) 2012, James Hesnsman
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# Licensed under the BSD 3-clause license (see LICENSE.txt)
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from kernpart import kernpart
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import numpy as np
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def index_to_slices(index):
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"""
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take a numpy array of integers (index) and return a nested list of slices such that the slices describe the start, stop points for each integer in the index.
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e.g.
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>>> index = np.asarray([0,0,0,1,1,1,2,2,2])
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returns
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>>> [[slice(0,3,None)],[slice(3,6,None)],[slice(6,9,None)]]
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or, a more complicated example
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>>> index = np.asarray([0,0,1,1,0,2,2,2,1,1])
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returns
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>>> [[slice(0,2,None),slice(4,5,None)],[slice(2,4,None),slice(8,10,None)],[slice(5,8,None)]]
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"""
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#contruct the return structure
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ind = np.asarray(index,dtype=np.int64)
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ret = [[] for i in range(ind.max()+1)]
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#find the switchpoints
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ind_ = np.hstack((ind,ind[0]+ind[-1]+1))
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switchpoints = np.nonzero(ind_ - np.roll(ind_,+1))[0]
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[ret[ind_i].append(slice(*indexes_i)) for ind_i,indexes_i in zip(ind[switchpoints[:-1]],zip(switchpoints,switchpoints[1:]))]
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return ret
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class independent_outputs(kernpart):
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"""
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A kernel part shich can reopresent several independent functions.
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this kernel 'switches off' parts of the matrix where the output indexes are different.
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The index of the functions is given by the last column in the input X
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the rest of the columns of X are passed to the kernel for computation (in blocks).
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"""
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def __init__(self,k):
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self.D = k.D + 1
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self.Nparam = k.Nparam
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self.name = 'iops('+ k.name + ')'
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self.k = k
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def _get_params(self):
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return self.k._get_params()
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def _set_params(self,x):
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self.k._set_params(x)
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self.params = x
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def _get_param_names(self):
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return self.k._get_param_names()
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def K(self,X,X2,target):
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#Sort out the slices from the input data
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X,slices = X[:,:-1],index_to_slices(X[:,-1])
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if X2 is None:
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X2,slices2 = X,slices
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else:
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X2,slices2 = X2[:,:-1],index_to_slices(X2[:,-1])
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[[[self.k.K(X[s],X2[s2],target[s,s2]) for s in slices_i] for s2 in slices_j] for slices_i,slices_j in zip(slices,slices2)]
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def Kdiag(self,X,target):
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X,slices = X[:,:-1],index_to_slices(X[:,-1])
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[[self.k.Kdiag(X[s],target[s]) for s in slices_i] for slices_i in slices]
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def dK_dtheta(self,dL_dK,X,X2,target):
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X,slices = X[:,:-1],index_to_slices(X[:,-1])
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if X2 is None:
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X2,slices2 = X,slices
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else:
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X2,slices2 = X2[:,:-1],index_to_slices(X2[:,-1])
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[[[self.k.dK_dtheta(dL_dK[s,s2],X[s],X2[s2],target) for s in slices_i] for s2 in slices_j] for slices_i,slices_j in zip(slices,slices2)]
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def dK_dX(self,dL_dK,X,X2,target):
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X,slices = X[:,:-1],index_to_slices(X[:,-1])
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if X2 is None:
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X2,slices2 = X,slices
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else:
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X2,slices2 = X2[:,:-1],index_to_slices(X2[:,-1])
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[[[self.k.dK_dX(dL_dK[s,s2],X[s],X2[s2],target[s,:-1]) for s in slices_i] for s2 in slices_j] for slices_i,slices_j in zip(slices,slices2)]
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def dKdiag_dX(self,dL_dKdiag,X,target):
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X,slices = X[:,:-1],index_to_slices(X[:,-1])
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[[self.k.dKdiag_dX(dL_dKdiag[s],X[s],target[s,:-1]) for s in slices_i] for slices_i in slices]
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def dKdiag_dtheta(self,dL_dKdiag,X,target):
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X,slices = X[:,:-1],index_to_slices(X[:,-1])
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[[self.k.dKdiag_dX(dL_dKdiag[s],X[s],target) for s in slices_i] for slices_i in slices]
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