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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 --…

Artificial Intelligence · Computer Science 2025-01-28 Hao Sun , Yunyi Shen , Jean-Francois Ton

The existing core methods, which are employed by the popular CTL model checking tools, are facing the famous state explode problem. In our previous study, a method based on the Machine Learning (ML) algorithms was proposed to address this…

Logic in Computer Science · Computer Science 2019-02-26 Weijun ZHU

Timed automata (TAs) are a common formalism for modeling timed systems. Bounded model checking (BMC) is a verification method that searches for runs violating a property using a SAT or SMT solver. MITL is a real-time extension of the linear…

Logic in Computer Science · Computer Science 2013-04-29 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

Since the introduction of Alternating-time Temporal Logic (ATL), many logics have been proposed to reason about different strategic capabilities of the agents of a system. In particular, some logics have been designed to reason about the…

Logic in Computer Science · Computer Science 2017-09-08 Simon Busard , Charles Pecheur

This paper concerns with statistical estimation and inference for the ranking problems based on pairwise comparisons with additional covariate information such as the attributes of the compared items. Despite extensive studies, few prior…

Methodology · Statistics 2024-03-26 Jianqing Fan , Jikai Hou , Mengxin Yu

Biclustering is a method for detecting homogeneous submatrices in a given observed matrix, and it is an effective tool for relational data analysis. Although there are many studies that estimate the underlying bicluster structure of a…

Methodology · Statistics 2021-07-16 Chihiro Watanabe , Taiji Suzuki

We introduce \textsc{Cattle Trade, a multi-agent benchmark for evaluating large language models (LLMs) as agents in strategic reasoning under imperfect information, adversarial interaction, and resource constraints. The benchmark combines…

Artificial Intelligence · Computer Science 2026-05-15 Robert Müller , Clemens Müller

Bayesian hypothesis testing and minimax hypothesis testing represent extreme instances of detection in which the prior probabilities of the hypotheses are either completely and precisely known, or are completely unknown. Group minimax, also…

Information Theory · Computer Science 2013-07-25 Kush R. Varshney , Lav R. Varshney

Large language models (LLMs) are increasingly deployed in agentic systems, where a fundamental task is mapping user intents to relevant external tools. Errors in tool selection can have severe outcomes, such as unauthorized data access,…

Cryptography and Security · Computer Science 2026-05-14 Jehyeok Yeon , Isha Chaudhary , Gagandeep Singh

Test-Time Scaling (TTS) improves large language models (LLMs) by allocating additional computation during inference, typically through parallel, sequential, or hybrid scaling. However, prior studies often assume fixed collaboration…

Machine Learning · Computer Science 2025-11-04 Fali Wang , Jihai Chen , Shuhua Yang , Runxue Bao , Tianxiang Zhao , Zhiwei Zhang , Xianfeng Tang , Hui Liu , Qi He , Suhang Wang

In this paper, we propose a simple and easy-to-implement Bayesian hypothesis test for the presence of an association, described by Kendall's \tau coefficient, between two variables measured on at least an ordinal scale. Owing to the absence…

Methodology · Statistics 2022-09-09 Shen Zhang , Keying Ye , Min Wang

The classical binary hypothesis testing problem is revisited. We notice that when one of the hypotheses is composite, there is an inherent difficulty in defining an optimality criterion that is both informative and well-justified. For…

Statistics Theory · Mathematics 2021-03-29 Michael Bell , Yuval Kochman

This paper considers testing linear hypotheses of a set of mean vectors with unequal covariance matrices in large dimensional setting. The problem of testing the hypothesis $H_0 : \sum_{i=1}^q \beta_i \bmu_i =\bmu_0 $ for a given vector…

Methodology · Statistics 2015-12-22 Dandan Jiang

Estimating heterogeneous treatment effects is central to data-driven decision-making, yet industrial applications often face a fundamental tension between limited randomized controlled trial (RCT) budgets and abundant but biased…

We consider a two-sample hypothesis testing problem, where the distributions are defined on the space of undirected graphs, and one has access to only one observation from each model. A motivating example for this problem is comparing the…

Autonomous coding agents can produce strong tabular baselines quickly on Kaggle-style tasks. Practical value depends on end-to-end correctness and reliability under time limits. This paper introduces TML-Bench, a tabular benchmark for data…

Machine Learning · Computer Science 2026-03-09 Mykola Pinchuk

We consider the hypothesis testing problem of deciding whether an observed high-dimensional vector has independent normal components or, alternatively, if it has a small subset of correlated components. The correlated components may have a…

Statistics Theory · Mathematics 2012-06-04 Ery Arias-Castro , Sébastien Bubeck , Gábor Lugosi

This paper introduces the Bradley-Terry Regression Trunk model, a novel probabilistic approach for the analysis of preference data expressed through paired comparison rankings. In some cases, it may be reasonable to assume that the…

We propose a model checking algorithm to test properties of systems that are expressed in the multi-agent temporal logic ATL+. The specificities of this algorithm are: it is on-the-fly, generating states only when they are needed, and it…

Logic in Computer Science · Computer Science 2021-07-13 Serenella Cerrito

This paper addresses the item ranking problem with associate covariates, focusing on scenarios where the preference scores can not be fully explained by covariates, and the remaining intrinsic scores, are sparse. Specifically, we extend the…

Methodology · Statistics 2024-07-15 Jianqing Fan , Jikai Hou , Mengxin Yu