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Robust Bayesian Inference for Unnormalized Models with Mixed-Domain Data

arXiv · AI, language, vision and robotics · article · Sep 1, 2026 · UTC

Many statistical models involve parameter-dependent normalizing constants that are computationally intractable, creating substantial obstacles to standard Bayesian inference. Although existing likelihood-based algorithms can often circumvent these constants, their uncertainty quantification may be poorly calibrated under model misspecification. To address these challenges, we propose SME-BETEL, a semiparametric Bayesian framework that combines score matching estimating equations with Bayesian exponentially tilted empirical likelihood. The resulting posterior avoids evaluation of normalizing co

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First collected: 2026-09-21T06:01:56.170Z. This is not the publication date.