English

Locally optimal Functional Quantization

Probability 2025-04-23 v2

Abstract

In this note we demonstrate that locally optimal functional quantizers for probability distributions on a Banach space lying in the support of PP behave exactly like globally optimal functional quantizers in terms of stationarity/self-consistency.

Keywords

Cite

@article{arxiv.2504.08681,
  title  = {Locally optimal Functional Quantization},
  author = {Harald Luschgy and Gilles Pagès},
  journal= {arXiv preprint arXiv:2504.08681},
  year   = {2025}
}

Comments

6 pages

R2 v1 2026-06-28T22:55:04.774Z