swh:1:snp:00bd25be6ef59fb8210ef6a4c842086902e04451
Tip revision: ff13e612910cfcb6b83f2e8d4cc8627888bffe92 authored by Sergio Diaz on 21 March 2019, 13:41:09 UTC
fixing imports
fixing imports
Tip revision: ff13e61
products.py
from functools import reduce
import tensorflow as tf
from . import dispatch
from .. import kernels
from ..features import InducingPoints
from ..probability_distributions import DiagonalGaussian
from ..util import NoneType
from .expectations import expectation
@dispatch.expectation.register(DiagonalGaussian, kernels.Product, NoneType, NoneType, NoneType)
def _E(p, kern, _, __, ___, nghp=None):
"""
Compute the expectation:
<\HadamardProd_i diag(Ki_{X[:, active_dims_i], X[:, active_dims_i]})>_p(X)
- \HadamardProd_i Ki_{.,.} :: Product kernel
- p :: DiagonalGaussian distribution (p.cov NxD)
:return: N
"""
if not kern.on_separate_dimensions:
raise NotImplementedError(
"Product currently needs to be defined on separate dimensions.") # pragma: no cover
exps = [expectation(p, k, nghp=nghp) for k in kern.kernels]
return reduce(tf.multiply, exps)
@dispatch.expectation.register(DiagonalGaussian, kernels.Product, InducingPoints, NoneType, NoneType)
def _E(p, kern, feat, __, ___, nghp=None):
"""
Compute the expectation:
<\HadamardProd_i Ki_{X[:, active_dims_i], Z[:, active_dims_i]}>_p(X)
- \HadamardProd_i Ki_{.,.} :: Product kernel
- p :: DiagonalGaussian distribution (p.cov NxD)
:return: NxM
"""
if not kern.on_separate_dimensions:
raise NotImplementedError(
"Product currently needs to be defined on separate dimensions.") # pragma: no cover
exps = [expectation(p, (k, feat), nghp=nghp) for k in kern.kernels]
return reduce(tf.multiply, exps)
@dispatch.expectation.register(DiagonalGaussian, kernels.Product, InducingPoints, kernels.Product, InducingPoints)
def _E(p, kern1, feat1, kern2, feat2, nghp=None):
"""
Compute the expectation:
expectation[n] = < prodK_{Z, x_n} prodK_{x_n, Z} >_p(x_n)
= < (\HadamardProd_i Ki_{Z[:, active_dims_i], x[n, active_dims_i]}) <-- Mx1
1xM --> (\HadamardProd_j Kj_{x[n, active_dims_j], Z[:, active_dims_j]}) >_p(x_n) (MxM)
- \HadamardProd_i Ki_{.,.}, \HadamardProd_j Kj_{.,.} :: Product kernels
- p :: DiagonalGaussian distribution (p.cov NxD)
:return: NxMxM
"""
if feat1 != feat2:
raise NotImplementedError("Different features are not supported.")
if kern1 != kern2:
raise NotImplementedError("Calculating the expectation over two "
"different Product kernels is not supported.")
kern = kern1
feat = feat1
if not kern.on_separate_dimensions:
raise NotImplementedError(
"Product currently needs to be defined on separate dimensions.") # pragma: no cover
exps = [expectation(p, (k, feat), (k, feat), nghp=nghp) for k in kern.kernels]
return reduce(tf.multiply, exps)