Source code for gpytorch.lazy.chol_lazy_tensor

#!/usr/bin/env python3

import typing  # noqa F401

from ..utils.memoize import cached
from .root_lazy_tensor import RootLazyTensor
from .triangular_lazy_tensor import TriangularLazyTensor


[docs]class CholLazyTensor(RootLazyTensor): def __init__(self, chol: TriangularLazyTensor, upper: bool = False): super().__init__(chol) self.upper = upper @property def _chol_diag(self): return self.root.diag() @cached(name="cholesky") def _cholesky(self, upper=False): if upper == self.upper: return self.root else: return self.root._transpose_nonbatch() def _solve(self, rhs, preconditioner, num_tridiag=0): if num_tridiag: return super()._solve(rhs, preconditioner, num_tridiag=num_tridiag) return self.root._cholesky_solve(rhs, upper=self.upper) @cached def diag(self): # TODO: Can we be smarter here? return (self.root.evaluate() ** 2).sum(-1) @cached def evaluate(self): root = self.root if self.upper: res = root._transpose_nonbatch() @ root else: res = root @ root._transpose_nonbatch() return res.evaluate() @cached def inverse(self): Linv = self.root.inverse() # this could be slow in some cases w/ structured lazies return CholLazyTensor(TriangularLazyTensor(Linv, upper=not self.upper), upper=not self.upper) def inv_matmul(self, right_tensor, left_tensor=None): is_vector = right_tensor.ndim == 1 if is_vector: right_tensor = right_tensor.unsqueeze(-1) res = self.root._cholesky_solve(right_tensor, upper=self.upper) if is_vector: res = res.squeeze(-1) if left_tensor is not None: res = left_tensor @ res return res def inv_quad(self, tensor, reduce_inv_quad=True): if self.upper: R = self.root._transpose_nonbatch().inv_matmul(tensor) else: R = self.root.inv_matmul(tensor) inv_quad_term = (R ** 2).sum(dim=-2) if inv_quad_term.numel() and reduce_inv_quad: inv_quad_term = inv_quad_term.sum(-1) return inv_quad_term def inv_quad_logdet(self, inv_quad_rhs=None, logdet=False, reduce_inv_quad=True): if not self.is_square: raise RuntimeError( "inv_quad_logdet only operates on (batches of) square (positive semi-definite) LazyTensors. " "Got a {} of size {}.".format(self.__class__.__name__, self.size()) ) if inv_quad_rhs is not None: if self.dim() == 2 and inv_quad_rhs.dim() == 1: if self.shape[-1] != inv_quad_rhs.numel(): raise RuntimeError( "LazyTensor (size={}) cannot be multiplied with right-hand-side Tensor (size={}).".format( self.shape, inv_quad_rhs.shape ) ) elif self.dim() != inv_quad_rhs.dim(): raise RuntimeError( "LazyTensor (size={}) and right-hand-side Tensor (size={}) should have the same number " "of dimensions.".format(self.shape, inv_quad_rhs.shape) ) elif self.shape[-1] != inv_quad_rhs.shape[-2]: raise RuntimeError( "LazyTensor (size={}) cannot be multiplied with right-hand-side Tensor (size={}).".format( self.shape, inv_quad_rhs.shape ) ) inv_quad_term = None logdet_term = None if inv_quad_rhs is not None: inv_quad_term = self.inv_quad(inv_quad_rhs, reduce_inv_quad=reduce_inv_quad) if logdet: logdet_term = self._chol_diag.pow(2).log().sum(-1) return inv_quad_term, logdet_term def root_inv_decomposition(self, initial_vectors=None, test_vectors=None): inv_root = self.root.inverse() return RootLazyTensor(inv_root._transpose_nonbatch())