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A path integral approach to Bayesian inference in Markov processes

Statistics Theory 2017-10-24 v1 Statistical Mechanics Statistics Theory

Abstract

We formulate Bayesian updates in Markov processes by means of path integral techniques and derive the imaginary-time Schr\"{o}dinger equation with likelihood to direct the inference incorporated as a potential for the posterior probability distribution

Keywords

Cite

@article{arxiv.1710.07755,
  title  = {A path integral approach to Bayesian inference in Markov processes},
  author = {Toshiyuki Fujii and Noriyuki Hatakenaka},
  journal= {arXiv preprint arXiv:1710.07755},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-22T22:21:11.574Z