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more re-enstating of some preiov commits.
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2 changed files with 49 additions and 27 deletions
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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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