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Making sense of the world and acting in it relies on building simplified mental representations that abstract away aspects of reality. This principle of cognitive mapping is universal to agents with limited resources. Living organisms,…

Artificial Intelligence · Computer Science 2025-04-30 Marta Kryven , Cole Wyeth , Aidan Curtis , Kevin Ellis

Response-adaptive allocation designs refer to a class of designs where the probability an observation is assigned to a treatment is changed throughout an experiment based on the accrued responses. Such procedures result in random treatment…

Methodology · Statistics 2022-08-04 Adam Lane

Given an intractable distribution $p$, the problem of variational inference (VI) is to find the best approximation from some more tractable family $Q$. Commonly, one chooses $Q$ to be a family of factorized distributions (i.e., the…

Machine Learning · Statistics 2025-10-21 Charles C. Margossian , Loucas Pillaud-Vivien , Lawrence K. Saul

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

Computation · Statistics 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

This paper considers ranking inference of $n$ items based on the observed data on the top choice among $M$ randomly selected items at each trial. This is a useful modification of the Plackett-Luce model for $M$-way ranking with only the top…

Methodology · Statistics 2023-01-09 Jianqing Fan , Zhipeng Lou , Weichen Wang , Mengxin Yu

Hierarchical models represent a challenging setting for inference algorithms. MCMC methods struggle to scale to large models with many local variables and observations, and variational inference (VI) may fail to provide accurate…

Machine Learning · Computer Science 2022-07-27 Tomas Geffner , Justin Domke

Given a universe of discourse X-a domain of possible outcomes-an experiment may consist of selecting one of its elements, subject to the operation of chance, or of observing the elements, subject to imprecision. A priori uncertainty about…

Artificial Intelligence · Computer Science 2013-03-26 Arthur Ramer

Reasoning about uncertainty is vital in many real-life autonomous systems. However, current state-of-the-art planning algorithms cannot either reason about uncertainty explicitly, or do so with a high computational burden. Here, we focus on…

Artificial Intelligence · Computer Science 2022-01-31 Moran Barenboim , Vadim Indelman

Recent advances in statistical inference have significantly expanded the toolbox of probabilistic modeling. Historically, probabilistic modeling has been constrained to (i) very restricted model classes where exact or approximate…

Machine Learning · Computer Science 2019-10-03 Andrés R. Masegosa , Rafael Cabañas , Helge Langseth , Thomas D. Nielsen , Antonio Salmerón

Variational inference, as an alternative to Markov chain Monte Carlo sampling, has played a transformative role in enabling scalable computation for complex Bayesian models. Nevertheless, existing approaches often depend on either rigid…

Methodology · Statistics 2026-05-21 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick

In a variety of scientific applications we wish to characterize a physical system using measurements or observations. This often requires us to solve an inverse problem, which usually has non-unique solutions so uncertainty must be…

Geophysics · Physics 2022-05-19 Xin Zhang , Muhammad Atif Nawaz , Xuebin Zhao , Andrew Curtis

The development of new methods and representations for temporal decision-making requires a principled basis for characterizing and measuring the flexibility of decision strategies in the face of uncertainty. Our goal in this paper is to…

Artificial Intelligence · Computer Science 2013-02-21 Tom Chavez , Ross D. Shachter

We develop stochastic variational inference, a scalable algorithm for approximating posterior distributions. We develop this technique for a large class of probabilistic models and we demonstrate it with two probabilistic topic models,…

Machine Learning · Statistics 2013-04-24 Matt Hoffman , David M. Blei , Chong Wang , John Paisley

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

Artificial Intelligence · Computer Science 2020-09-23 Luis A. Pineda

The performance of the Monte Carlo sampling methods relies on the crucial choice of a proposal density. The notion of optimality is fundamental to design suitable adaptive procedures of the proposal density within Monte Carlo schemes. This…

Computation · Statistics 2026-02-24 Fernando Llorente , Luca Martino

A statistical inference method is developed and tested for pairwise interacting systems whose degrees of freedom are continuous angular variables, such as planar spins in magnetic systems or wave phases in optics and acoustics. We…

Statistical Mechanics · Physics 2015-06-15 P. Tyagi , A. Pagnani , F. Antenucci , M. Ibáñez Berganza , L. Leuzzi

Bayesian inference requires specification of a single, precise prior distribution, whereas frequentist inference only accommodates a vacuous prior. Since virtually every real-world application falls somewhere in between these two extremes,…

Methodology · Statistics 2023-09-26 Ryan Martin

This paper is a review of a particular approach to the method of maximum entropy as a general framework for inference. The discussion emphasizes the pragmatic elements in the derivation. An epistemic notion of information is defined in…

Data Analysis, Statistics and Probability · Physics 2021-08-04 Ariel Caticha

The inferential model (IM) framework produces data-dependent, non-additive degrees of belief about the unknown parameter that are provably valid. The validity property guarantees, among other things, that inference procedures derived from…

Statistics Theory · Mathematics 2021-08-05 Chuanhai Liu , Ryan Martin

This paper presents an approach for developing the explanation capabilities of rule-based expert systems managing imprecise and uncertain knowledge. The treatment of uncertainty takes place in the framework of possibility theory where the…

Artificial Intelligence · Computer Science 2013-04-08 Henri Farrency , Henri Prade