A BMO theorem for $\epsilon$ distorted diffeomorphisms from $\mathbb R^D$ to $\mathbb R^D$ with applications to manifolds of speech and sound

TL;DR

This paper establishes a BMO theorem for epsilon-distorted diffeomorphisms in Euclidean space and explores applications to manifolds related to speech and sound analysis.

Contribution

It introduces a new BMO theorem for epsilon-distorted diffeomorphisms and applies it to manifolds of speech and sound.

Findings

BMO theorem for epsilon-distorted diffeomorphisms

Applications to speech and sound manifolds

Enhanced understanding of geometric distortions in data

Abstract

This paper deals with a BMO Theorem for $\epsilon$ distorted diffeomorphisms from $\mathbb R^D$ to $\mathbb R^D$ with applications to manifolds of speech and sound. The material for this paper appears in the research memoir [2].