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A Generalization of Amari's Bayesian Duality

arXiv 2609.09126 ↗First posted 8 Sep 2026cs.AI cs.LG stat.MLcited by 0

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Abstract (arXiv)

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.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 5 of its 26 references that are in the map. First posted on arXiv 8 Sep 2026.

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References · 5

  1. 2021The Bayesian Learning Rulecited by 99
  2. 2022SAM as an Optimal Relaxation of Bayescited by 41
  3. 2021Dual Parameterization of Sparse Variational Gaussian Processescited by 19
  4. 2025Knowledge Adaptation as Posterior Correctioncited by 6
  5. 2025Federated ADMM from Bayesian Dualitycited by 3

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