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Existing works have shown that fine-tuned textual transformer models achieve state-of-the-art prediction performances but are also vulnerable to adversarial text perturbations. Traditional adversarial evaluation is often done \textit{only…

Machine Learning · Computer Science 2024-07-03 Cuong Dang , Dung D. Le , Thai Le

The present study investigates the attacker-defender (AD) model proposed by Brink et al. (2023), a motion model that describes the interactions between a ball carrier (attacker) and the nearest defender during ball possession. The model is…

Physics and Society · Physics 2026-05-26 Takuma Narizuka , Issei Yamazaki

Player attribution in American football remains an open problem due to the complex nature of twenty-two players interacting on the field, but the granularity of player tracking data provides ample opportunity for novel approaches. In this…

Applications · Statistics 2025-06-24 Ronald Yurko , Quang Nguyen , Konstantinos Pelechrinis

For nonbalanced paired comparisons, a wide variety of ranking methods have been proposed. One of the best popular methods is the Bradley-Terry model in which the ranking of a set of objects is decided by the maximum likelihood estimates…

Methodology · Statistics 2016-11-07 Ting Yan

How does one objectively measure the performance of an individual offensive lineman in the NFL? The existing literature proposes various measures that rely on subjective assessments of game film, but has yet to develop an objective…

Machine Learning · Statistics 2016-04-12 Nikhil Byanna , Diego Klabjan

Offline reinforcement learning (RL) addresses the challenge of expensive and high-risk data exploration inherent in RL by pre-training policies on vast amounts of offline data, enabling direct deployment or fine-tuning in real-world…

Machine Learning · Computer Science 2024-08-13 Thanh Nguyen , Tung M. Luu , Tri Ton , Chang D. Yoo

Reward models trained on human preference data have demonstrated strong effectiveness in aligning Large Language Models (LLMs) with human intent under the framework of Reinforcement Learning from Human Feedback (RLHF). However, RLHF remains…

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

How can balance be quantified in game settings? This question is crucial for game designers, especially in player-versus-player (PvP) games, where analyzing the strength relations among predefined team compositions-such as hero combinations…

Artificial Intelligence · Computer Science 2024-09-02 Chiu-Chou Lin , Yu-Wei Shih , Kuei-Ting Kuo , Yu-Cheng Chen , Chien-Hua Chen , Wei-Chen Chiu , I-Chen Wu

Paired comparison models, such as the Bradley-Terry (1952) model and its variants, are commonly used to measure competitor strength in games and sports. Extensions have been proposed to account for order effects (e.g., home-field advantage)…

Methodology · Statistics 2025-06-02 Mark E. Glickman

The objective of this study was to incorporate contextual information into the modelling of player movements. This was achieved by combining the distributions of forthcoming passing contests that players committed to and those they did not.…

Applications · Statistics 2019-07-26 Bartholomew Spencer , Karl Jackson , Sam Robertson

The Bradley-Terry model has previously been used in both Bayesian and frequentist interpretations to evaluate the strengths of sports teams based on win-loss game results. It has also been extended to handle additional possible results such…

Applications · Statistics 2023-01-10 John T. Whelan , Jacob E. Klein

Although the data-driven analysis of football players' performance has been developed for years, most research only focuses on the on-ball event including shots and passes, while the off-ball movement remains a little-explored area in this…

Machine Learning · Computer Science 2023-09-06 Yisheng Pei , Varuna De Silva , Mike Caine

We propose a general framework for statistical inference on the overall strengths of players in pairwise comparisons, allowing for potential shifts in the covariate distribution. These covariates capture important contextual information…

Methodology · Statistics 2025-04-10 Xiudi Li , Sijia Li

We compare various extensions of the Bradley-Terry model and a hierarchical Poisson log-linear model in terms of their performance in predicting the outcome of soccer matches (win, draw, or loss). The parameters of the Bradley-Terry…

The increasing availability of spatio-temporal tracking data has created new opportunities for analysing tactical behaviour in football. However, many existing approaches evaluate passes primarily through outcome-based metrics such as…

Machine Learning · Computer Science 2026-04-01 Oktay Karakuş , Hasan Arkadaş

New transformer networks have been integrated into object tracking pipelines and have demonstrated strong performance on the latest benchmarks. This paper focuses on understanding how transformer trackers behave under adversarial attacks…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Fatemeh Nourilenjan Nokabadi , Jean-François Lalonde , Christian Gagné

Optimizing resistance training for hypertrophy requires balancing proximity to muscular failure, often quantified by Repetitions in Reserve (RiR), with fatigue management. However, subjective RiR assessment is unreliable, leading to…

Machine Learning · Computer Science 2025-12-16 Grant King , Musa Azeem , Savannah Noblitt , Ramtin Zand , Homayoun Valafar

Identifying combinations of players (that is, lineups) in basketball - and other sports - that perform well when they play together is one of the most important tasks in sports analytics. One of the main challenges associated with this task…

Machine Learning · Computer Science 2026-01-22 Christos Petridis , Konstantinos Pelechrinis

Can one understand the statistics of wins and losses of baseball teams? Are their consecutive-game winning and losing streaks self-reinforcing or can they be described statistically? We apply the Bradley-Terry model, which incorporates the…

Physics and Society · Physics 2014-07-25 C. Sire , S. Redner