Wave-function parametrization of a probability measure
General Physics
2023-10-13 v4
Abstract
We show that the unitary operator on a separable Hilbert space is a parametrization of any conditional probability measure in a standard measure space. We propose unitary inference, a generalization of Bayesian inference. We study implications for classical statistical mechanics.
Cite
@article{arxiv.2303.06069,
title = {Wave-function parametrization of a probability measure},
author = {Leonardo Pedro},
journal= {arXiv preprint arXiv:2303.06069},
year = {2023}
}
Comments
18 pages, v4: An error (without major consequences) in section 3 was corrected. Direct sum of linear models with few variables (aka Renormalization) discussed