English

Wave function representation of probability distributions

Computation 2018-01-08 v2

Abstract

Orthogonal decomposition of the square root of a probability density function in the Hermite basis is a useful low-dimensional parameterization of continuous probability distributions over the reals. This representation is formally similar to the representation of quantum mechanical states as wave functions, whose squared modulus is a probability density.

Cite

@article{arxiv.1712.07764,
  title  = {Wave function representation of probability distributions},
  author = {Madeleine B. Thompson},
  journal= {arXiv preprint arXiv:1712.07764},
  year   = {2018}
}
R2 v1 2026-06-22T23:25:23.722Z