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The Bayesian Mallows model is a flexible tool for analyzing data in the form of complete or partial rankings, and transitive or intransitive pairwise preferences. In many potential applications of preference learning, data arrive…

统计计算 · 统计学 2025-11-26 Øystein Sørensen , Anja Stein , Waldir Leoncio Netto , David S. Leslie

We assess the accuracy of Bayesian polynomial extrapolations from small parameter values, x, to large values of x. We consider a set of polynomials of fixed order, intended as a proxy for a fixed-order effective field theory (EFT)…

统计方法学 · 统计学 2022-06-17 M. A. Connell , I. Billig , D. R. Phillips

Analysis of competing risks data plays an important role in the lifetime data analysis. Recently Feizjavadian and Hashemi (Computational Statistics and Data Analysis, vol. 82, 19-34, 2015) provided a classical inference of a competing risks…

统计方法学 · 统计学 2021-05-04 Debashis Samanta , Debasis Kundu

Bayesian variable selection (BVS) depends critically on the specification of a prior distribution over the model space, particularly for controlling sparsity and multiplicity. This paper examines the practical consequences of different…

统计方法学 · 统计学 2025-12-30 Joyee Ghosh

Bayesian networks are a powerful framework for studying the dependency structure of variables in a complex system. The problem of learning Bayesian networks is tightly associated with the given data type. Ordinal data, such as stages of…

统计方法学 · 统计学 2021-11-15 Xiang Ge Luo , Giusi Moffa , Jack Kuipers

This research is about studying and comparing two different ways of building complex networks. The main goal of our study is to find an effective way to build networks, particularly when we have fewer observations than variables. We…

统计方法学 · 统计学 2014-09-10 Lina D. Thomas , Victor Fossaluza , Anatoly Yambartsev

This paper presents a new Bayesian framework for quantifying discretization errors in numerical solutions of ordinary differential equations. By modelling the errors as random variables, we impose a monotonicity constraint on the variances,…

数值分析 · 数学 2024-11-14 Yuto Miyatake , Kaoru Irie , Takeru Matsuda

Poker is a challenging problem for artificial intelligence, with non-deterministic dynamics, partial observability, and the added difficulty of unknown adversaries. Modelling all of the uncertainties in this domain is not an easy task. In…

计算机科学与博弈论 · 计算机科学 2012-07-09 Finnegan Southey , Michael P. Bowling , Bryce Larson , Carmelo Piccione , Neil Burch , Darse Billings , Chris Rayner

It is useful to estimate the expected predictive performance of models planned to be used for prediction. We focus on leave-one-out cross-validation (LOO-CV), which has become a popular method for estimating predictive performance of…

统计方法学 · 统计学 2025-10-29 Tuomas Sivula , Måns Magnusson , Asael Alonzo Matamoros , Aki Vehtari

This paper reviews recent developments in statistical structure learning; namely, Bayesian model reduction. Bayesian model reduction is a method for rapidly computing the evidence and parameters of probabilistic models that differ only in…

统计方法学 · 统计学 2019-10-15 Karl Friston , Thomas Parr , Peter Zeidman

Variable selection and classification are common objectives in the analysis of high-dimensional data. Most such methods make distributional assumptions that may not be compatible with the diverse families of distributions data can take. A…

统计方法学 · 统计学 2019-08-28 Weichang Yu , Lamiae Azizi , John T. Ormerod

Machine learning, classification and prediction models have applications across a range of fields. Sport analytics is an increasingly popular application, but most existing work is focused on automated refereeing in mainstream sports and…

机器学习 · 计算机科学 2023-03-30 Sophie Chiang , Gyorgy Denes

Models in which the number of goals scored by a team in a soccer match follow a Poisson distribution, or a closely related one, have been widely discussed. We here consider a soccer match as an experiment to assess which of two teams is…

物理与社会 · 物理学 2009-09-29 G. K. Skinner , G. H. Freeman

Large Bayesian vector autoregressions with various forms of stochastic volatility have become increasingly popular in empirical macroeconomics. One main difficulty for practitioners is to choose the most suitable stochastic volatility…

计量经济学 · 经济学 2022-08-30 Joshua C. C. Chan

Joint models have proven to be an effective approach for uncovering potentially hidden connections between various types of outcomes, mainly continuous, time-to-event, and binary. Typically, longitudinal continuous outcomes are…

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

统计方法学 · 统计学 2020-04-30 Papamichalis Marios

This study applies Bayesian models to predict hotel booking cancellations, a key challenge affecting resource allocation, revenue, and customer satisfaction in the hospitality industry. Using a Kaggle dataset with 36,285 observations and 17…

We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability q<=1/2, and the stronger player wins with probability 1-q.…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , S. Redner , F. Vazquez

Bayesian methods have been widely used in the last two decades to infer statistical properties of spatially variable coefficients in partial differential equations from measurements of the solutions of these equations. Yet, in many cases…

数值分析 · 数学 2022-03-01 David Aristoff , Wolfgang Bangerth

Biathlon is a unique winter sport that combines precision rifle marksmanship with the endurance demands of cross-country skiing. We develop a Bayesian hierarchical model to predict and understand shooting performance using data from the…

应用统计 · 统计学 2024-11-05 Manuele Leonelli