metastable-projections-public/metastable_projections/misc/norm.py

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2022-10-27 21:12:58 +02:00
import torch as th
from torch.distributions.multivariate_normal import _batch_mahalanobis
def mahalanobis_alt(u, v, std):
"""
Stolen from Fabian's Code (Public Version)
"""
delta = u - v
return th.triangular_solve(delta, std, upper=False)[0].pow(2).sum([-2, -1])
def mahalanobis(u, v, chol):
delta = u - v
return _batch_mahalanobis(chol, delta)
def frob_sq(diff, is_spd=False):
# If diff is spd, we can use a (probably) more performant algorithm
if is_spd:
return _frob_sq_spd(diff)
return th.norm(diff, p='fro', dim=tuple(range(1, diff.dim()))).pow(2)
def _frob_sq_spd(diff):
return _batch_trace(diff @ diff)
def _batch_trace(x):
return th.diagonal(x, dim1=-2, dim2=-1).sum(-1)