A Generalization of Amari's Bayesian Duality

2026-09-08

AI Summary

本文通过将Amari的贝叶斯对偶性与贝叶斯规则的凸对偶性联系起来，推广了Amari的贝叶斯对偶理论，并讨论其在现代人工智能中的相关性。

Abstract

Amari's contributions to information geometry and machine learning are well known. Here, we revisit Amari's work on Bayesian duality which has not received as much attention. We connect Amari's Bayesian duality to a convex duality of Bayes'rule. Using this connection, we present a generalization of Amari's Bayesian duality and discuss its relevance for modern artificial intelligence.

Problem

• Bayesian duality
• information geometry
• machine learning

Innovation

• Bayesian duality
• convex duality
• information geometry
• machine learning