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New tools analyze local mass behavior in Bayesian inference

By PulseAugur Editorial · [2 sources] ·

This paper introduces new mathematical tools, the Mass Index and regularised extended KL (RE-KL), to analyze the local-mass behavior in Bayesian inference. These tools go beyond traditional global objectives like KL divergence and ELBO to characterize how Bayesian updating affects local mass. The research provides a theoretical framework for understanding local mass behavior and includes experimental illustrations. AI

IMPACT Introduces novel theoretical tools for analyzing Bayesian inference, potentially impacting future research in machine learning and probabilistic modeling.

RANK_REASON The cluster contains a research paper published on arXiv detailing new theoretical tools for Bayesian inference.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New tools analyze local mass behavior in Bayesian inference

COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Sarat Moka ·

    Beyond Global Divergences: A Local-Mass Perspective on Bayesian Inference

    Global objectives, such as KL divergence and ELBO, are widely used in Bayesian inference for measuring distributional discrepancy. This paper studies their local-mass behaviour that is not directly captured by such objectives. We introduce and use two mathematical tools: (1) Mass…

  2. arXiv stat.ML TIER_1 English(EN) · Hanli Xu, Fengxiang He, Sarat Moka ·

    Beyond Global Divergences: A Local-Mass Perspective on Bayesian Inference

    arXiv:2606.27090v1 Announce Type: new Abstract: Global objectives, such as KL divergence and ELBO, are widely used in Bayesian inference for measuring distributional discrepancy. This paper studies their local-mass behaviour that is not directly captured by such objectives. We in…

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