Amari贝叶斯对偶性的推广

中文摘要 AI 辅助

Amari对信息几何和机器学习的贡献众所周知。在此，我们重新审视Amari关于贝叶斯对偶性的工作，该工作尚未受到同等关注。我们将Amari的贝叶斯对偶性与贝叶斯规则的凸对偶性联系起来。利用这一联系，我们提出了Amari贝叶斯对偶性的一个推广，并讨论了其与现代人工智能的相关性。

英文摘要

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.

发表机构

• RIKEN Center for Advanced Intelligence Project（理化学研究所先进智能项目中心）
• Technische Universität Darmstadt（达姆施塔特工业大学）
• The Hessian Center for Artificial Intelligence（黑森人工智能中心）

机构由 AI 辅助整理，请以论文原文为准。