Preprint / scholarly article

Implementation--Ready Persistence-First Holographic Systems

K. Takahashi

Published
DOI
10.5281/zenodo.17645180

Abstract

On the analytic side, the work assumes standard theory for gradient flows in metric spaces and the convergence of Jordan–Kinderlehrer–Otto (JKO) type minimizing–movement schemes (Ambrosio–Gigli–Savaré, Jordan–Kinderlehrer–Otto, Liero–Mielke–Savaré, Maas, Mielke, Carlen–Maas).

Keywords

  • information theory
  • persistence-first holographic systems
  • PFHS
  • gradient flows
  • jordan-kinderlehrer-otto
  • jko
  • optimal transport
  • category theory
  • hellinger-kantorovich geometry
  • finite markov chains

Identifiers and source records