Independent component analysis in the light of Information Geometry

TL;DR

This paper explores the connection between Independent Component Analysis (ICA) and Information Geometry, providing insights into how geometric methods can enhance understanding and application of ICA techniques.

Contribution

It offers an informal overview of the relationship between ICA and Information Geometry, highlighting new perspectives and potential methodological advancements.

Findings

Identifies geometric structures underlying ICA

Suggests new approaches for ICA based on Information Geometry

Provides insights into the theoretical foundations of ICA

Abstract

I recall my first encounter with Professor Shun-ichi Amari who, once upon a time in Las Vegas, gave me a precious hint about connecting Independent Component Analysis (ICA) to Information Geometry. The paper sketches, rather informally, some of the insights gained in following this lead.