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20 results for “Bayesian probability theory”

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stat.MLcs.LGmath.STRecentJun 3, 2026

Bayesian learning for the stochastic shortest path problem

Chon Wai Ho, Sumeetpal S. Singh, Jiaqi Guo

The paper proposes a novel Bayesian framework to learn the optimal decision strategy for the stochastic shortest path problem by directly constructing the posterior beliefs for the action-value functi…

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cs.CRcs.PLRecentMay 28, 2026

A Bayesian Approach to Membership Inference for Statistical Release

Lisa Oakley, Sam Stites, Cameron Moy, Steven Holtzen +2 more

This paper proposes a Bayesian framework to enhance membership inference attacks against released statistics by incorporating prior knowledge about the population's attribute dependency structure, out…

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math.OCcs.AIcs.LGRecentJun 1, 2026

MINTS: Minimalist Thompson Sampling

Kaizheng Wang

The paper introduces MINTS, a minimalist Bayesian framework that simplifies sequential decision-making by placing priors only on the optimum location, allowing for the incorporation of structural cons…

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cs.DSmath.PRTheoreticalRecentJul 24, 2026

HyperLogLog for probabilists

Lucas Gerin

This paper provides non-asymptotic and explicit estimates for the exponential deviation inequalities of the HyperLogLog estimator.

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cs.DSmath-phmath.CATheoreticalRecentJun 22, 2026

Computing Gaussian and exponential integrals in ${\Bbb R}^n$

Alexander Barvinok

This paper proves conditions for efficiently approximating expectations of certain functions with respect to standard Gaussian or symmetric exponential probability measures.

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math.PRcs.ITmath.MGTheoreticalRecentJul 15, 2026

Stochastic Domination of Gaussian Maxima: A Resolution to the Weak Simplex Conjecture

Abhijeet Mulgund

The paper proves a stochastic comparison for Gaussian maxima, resolving the Weak Simplex Conjecture and proving the Simplex Mean Width Conjecture.

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cs.LGcs.ITstat.MLTheoreticalRecentJun 28, 2026

Bayesian Best-Arm Identification with Abstention: A Polynomial-to-Exponential Phase Transition

Yuqi Huang, Yunlong Hou, Vincent Y. F. Tan

This paper analyzes the Bayesian fixed-budget best-arm identification problem with abstention, showing that it induces a phase transition from polynomial to exponential decay of error probability.

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stat.MLcs.LGmath.PRTheoreticalRecentJul 7, 2026

A Convex Approximation Framework for Neural Likelihood-Based Bayesian Inverse Problems

Fabian Schneider, Tapio Helin, Leila Taghizadeh

This paper improves the foundations of neural likelihood approximation for Bayesian inverse problems by making the learning problem strictly convex and showing convergence to the true likelihood.

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stat.MLcs.AIcs.LGTheoreticalRecentJul 18, 2026

A Causal Markov Condition for Value

Olav Benjamin Vassend

This paper introduces the Value Causal Markov Condition (v-CMC) for linking causality and utility, and develops its foundations.

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cs.DScs.CRRecentMay 20, 2026

Near-Optimal Generalized Private Testing

Anamay Chaturvedi, Monika Henzinger, Jalaj Upadhyay

The paper introduces the Generalized Thresholding Mechanism (GTM) to solve the generalized private testing problem in differential privacy, achieving near-optimal accuracy and sample complexity guaran…

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cs.ITquant-phTheoreticalRecentJun 25, 2026

A Quantum Method of Types

Arick Grootveld

The authors introduce a quantum empirical operator and use it to prove a universal achievability result for composite quantum hypothesis testing.

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cs.CRRecentApr 10, 2026

Hagenberg Risk Management Process (Part 3): Operationalization, Probabilities, and Causal Analysis

Eckehard Hermann, Harald Lampesberger

The paper introduces a comprehensive framework, Realtime Risk Studio, that operationalizes qualitative risk models (Bowtie diagrams) into formal, probabilistic, and intervention-ready runtime models u…

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cs.AIRecentJun 3, 2026

What Type of Inference is Active Inference?

Wouter W. L. Nuijten, Mykola Lukashchuk, Thijs van de Laar, Bert de Vries

This paper provides a detailed message-passing scheme for EFE-based planning and clarifies the corrections needed for cross-entropy planning and full EFE-based planning.

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cs.LGcs.AIRecentMay 29, 2026

Annealed Softmax Greedy in Many-Armed Bayesian Bandits

William Overman, Mohsen Bayati

The paper analyzes the performance of an annealed softmax policy in a Bayesian bandit setting, proving that under specific prior conditions, it achieves near-optimal regret rates by effectively sampli…

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stat.MLcs.AIcs.LGRecentMay 28, 2026

Improved Distribution Estimation in $\ell_\infty$

Doron Cohen, Aryeh Kontorovich, Yonatan Livshitz

This paper improves the theoretical bounds for estimating discrete probability distributions using the $\ell_\infty$ norm, resolving several open questions in the field.

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math.STcs.ITmath.CTTheoreticalRecentJun 19, 2026

Reformulation Invariance and the Axiomatic Foundations of Inference

Raphaël Trésor, Thijs van de Laar, Bert de Vries

This paper argues that the choice of divergence in statistical inference can be justified by requiring invariance to problem reformulations, leading to the selection of the Kullback-Leibler divergence…

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cs.GTcs.DSTheoreticalRecentJul 9, 2026

Algorithmic Expert Aggregation

Wei Tang, Hanrui Zhang

This paper studies the problem of aggregating calibrated Bayesian experts into a new calibrated expert.

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