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Bayesian entity resolution merges together multiple, noisy databases and returns the minimal collection of unique individuals represented, together with their true, latent record values. Bayesian methods allow flexible generative models…

统计方法学 · 统计学 2014-10-20 Tamara Broderick , Rebecca C. Steorts

Crowd-sourcing is a cheap and popular means of creating training and evaluation datasets for machine learning, however it poses the problem of `truth inference', as individual workers cannot be wholly trusted to provide reliable…

机器学习 · 计算机科学 2019-02-26 Yuan Li , Benjamin I. P. Rubinstein , Trevor Cohn

The Bradley-Terry (BT) model is a common and successful practice in reward modeling for Large Language Model (LLM) alignment. However, it remains unclear why this model -- originally developed for multi-player stochastic game matching --…

人工智能 · 计算机科学 2025-01-28 Hao Sun , Yunyi Shen , Jean-Francois Ton

Reward models learned from human preferences are central to aligning large language models (LLMs) via reinforcement learning from human feedback, yet they are often vulnerable to reward hacking due to noisy annotations and systematic biases…

机器学习 · 计算机科学 2026-02-12 Zhibin Duan , Guowei Rong , Zhuo Li , Bo Chen , Mingyuan Zhou , Dandan Guo

Given a set of pairwise comparisons, the classical ranking problem computes a single ranking that best represents the preferences of all users. In this paper, we study the problem of inferring individual preferences, arising in the context…

机器学习 · 统计学 2015-12-18 Rui Wu , Jiaming Xu , R. Srikant , Laurent Massoulié , Marc Lelarge , Bruce Hajek

Databases often contain corrupted, degraded, and noisy data with duplicate entries across and within each database. Such problems arise in citations, medical databases, genetics, human rights databases, and a variety of other applied…

统计方法学 · 统计学 2015-04-29 Rebecca C. Steorts

This article introduces the bpcs R package (Bayesian Paired Comparison in Stan) and the statistical models implemented in the package. This package aims to facilitate the use of Bayesian models for paired comparison data in behavioral…

统计方法学 · 统计学 2021-09-21 David Issa Mattos , Érika Martins Silva Ramos

With the advent of high-performance computing, Bayesian methods are increasingly popular tools for the quantification of uncertainty throughout science and industry. Since these methods impact the making of sometimes critical decisions in…

统计理论 · 数学 2016-05-20 Houman Owhadi , Clint Scovel , Tim Sullivan

Unnormalized (or energy-based) models provide a flexible framework for capturing the characteristics of data with complex dependency structures. However, the application of standard Bayesian inference methods has been severely limited…

统计方法学 · 统计学 2026-03-11 Naruki Sonobe , Shonosuke Sugasawa , Daichi Mochihashi , Takeru Matsuda

PageRank and the Bradley-Terry model are competing approaches to ranking entities such as teams in sports tournaments or journals in citation networks. The Bradley-Terry model is a classical statistical method for ranking based on paired…

统计方法学 · 统计学 2024-02-13 David Antony Selby

In this paper, we study the trade-offs of different inference approaches for Bayesian matrix factorisation methods, which are commonly used for predicting missing values, and for finding patterns in the data. In particular, we consider…

机器学习 · 统计学 2017-07-18 Thomas Brouwer , Jes Frellsen , Pietro Lió

We develop a generative model-based approach to Bayesian inverse problems, such as image reconstruction from noisy and incomplete images. Our framework addresses two common challenges of Bayesian reconstructions: 1) It makes use of complex,…

机器学习 · 统计学 2019-10-24 Vanessa Böhm , François Lanusse , Uroš Seljak

The Bradley-Terry model assigns probabilities for the outcome of paired comparison experiments based on strength parameters associated with the objects being compared. We consider different proposed choices of prior parameter distributions…

统计理论 · 数学 2017-12-15 John T. Whelan

Crowdsourcing has emerged as an effective means for performing a number of machine learning tasks such as annotation and labelling of images and other data sets. In most early settings of crowdsourcing, the task involved classification,…

机器学习 · 计算机科学 2020-06-03 Desmond Cai , Duc Thien Nguyen , Shiau Hong Lim , Laura Wynter

This paper proposes a Bayesian model to compare multiple algorithms on multiple data sets, on any metric. The model is based on the Bradley-Terry model, that counts the number of times one algorithm performs better than another on different…

机器学习 · 计算机科学 2023-07-18 Jacques Wainer

Rank aggregation based on pairwise comparisons over a set of items has a wide range of applications. Although considerable research has been devoted to the development of rank aggregation algorithms, one basic question is how to efficiently…

机器学习 · 统计学 2016-12-22 Xi Chen , Kevin Jiao , Qihang Lin

Evaluating the pedagogical quality of AI tutors remains challenging: standard NLG metrics do not determine whether responses identify mistakes, scaffold reasoning, or avoid revealing the answers. For the task of mistake remediation, we…

计算与语言 · 计算机科学 2026-03-26 Kseniia Petukhova , Ekaterina Kochmar

The abundance of data produced daily from large variety of sources has boosted the need of novel approaches on causal inference analysis from observational data. Observational data often contain noisy or missing entries. Moreover, causal…

统计方法学 · 统计学 2017-03-14 Fani Tsapeli , Peter Tino , Mirco Musolesi

Comparative judgement studies elicit quality assessments through pairwise comparisons, typically analysed using the Bradley-Terry model. A challenge in these studies is experimental design, specifically, determining the optimal pairs to…

统计方法学 · 统计学 2026-03-24 Jiahua Jiang , Joseph Marsh , Rowland G Seymour

We introduce a new incremental preference elicitation procedure able to deal with noisy responses of a Decision Maker (DM). The originality of the contribution is to propose a Bayesian approach for determining a preferred solution in a…

人工智能 · 计算机科学 2020-07-30 Nadjet Bourdache , Patrice Perny , Olivier Spanjaard