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This paper proposes a multiple-membership generalized linear mixed model for ranking college football teams using only their win/loss records. The model results in an intractable, high-dimensional integral due to the random effects…

Applications · Statistics 2014-04-01 Andrew T. Karl

Graph-based ranking methods, such as LexRank, are fundamental in Natural Language Processing (NLP) applications like text summarization, as they measure the relative importance of textual units. Building on recent advances in ranking…

Optimization and Control · Mathematics 2025-09-10 Anna Timonina-Farkas

Large Language Models (LLMs) have shown strong capabilities in document re-ranking, a key component in modern Information Retrieval (IR) systems. However, existing LLM-based approaches face notable limitations, including ranking…

Information Retrieval · Computer Science 2025-10-03 Pinhuan Wang , Zhiqiu Xia , Chunhua Liao , Feiyi Wang , Hang Liu

In this paper, we propose a listwise approach for constructing user-specific rankings in recommendation systems in a collaborative fashion. We contrast the listwise approach to previous pointwise and pairwise approaches, which are based on…

Machine Learning · Statistics 2019-02-08 Liwei Wu , Cho-Jui Hsieh , James Sharpnack

The powerful generative abilities of large language models (LLMs) show potential in generating relevance labels for search applications. Previous work has found that directly asking about relevancy, such as ``How relevant is document A to…

Information Retrieval · Computer Science 2024-04-19 Le Yan , Zhen Qin , Honglei Zhuang , Rolf Jagerman , Xuanhui Wang , Michael Bendersky , Harrie Oosterhuis

Large Language Models (LLMs) have emerged as a promising paradigm for next-generation recommender systems, offering strong semantic understanding and natural-language reasoning abilities. Despite recent progress, current LLM-based…

Information Retrieval · Computer Science 2026-05-11 Shijun Li , Wooseong Yang , Yu Wang , Tianxin Wei , Joydeep Ghosh

Differentiable systems in this paper means systems of equations that are described by differentiable real functions in real matrix variables. This paper proposes algorithms for finding minimal rank solutions to such systems over (arbitrary…

Optimization and Control · Mathematics 2017-05-30 Thanh Hieu Le

This paper investigates the leader-following consensus problem for a class of multi-agent systems subject to adversarial attack-like external inputs. To address this, we formulate the robust leader-following control problem as a global…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Yunxiao Ren , Dingguo Liang , Yuezu Lv , Zhisheng Duan

Search engines answer users' queries by listing relevant items (e.g. documents, songs, products, web pages, ...). These engines rely on algorithms that learn to rank items so as to present an ordered list maximizing the probability that it…

Machine Learning · Computer Science 2021-09-14 Stefan Magureanu , Alexandre Proutiere , Marcus Isaksson , Boxun Zhang

Indirect reciprocity unveils how social cooperation is founded upon moral systems. Within the frame of dyadic games based on individual reputations, the "leading-eight" strategies distinguish themselves in promoting and sustaining…

Physics and Society · Physics 2024-10-22 Ming Wei , Xin Wang , Longzhao Liu , Hongwei Zheng , Yishen Jiang , Yajing Hao , Zhiming Zheng , Feng Fu , Shaoting Tang

A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

Machine Learning · Computer Science 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This class of optimization problems, known as rank minimization, is…

Optimization and Control · Mathematics 2016-11-17 Benjamin Recht , Weiyu Xu , Babak Hassibi

A large body of research is currently investigating on the connection between machine learning and game theory. In this work, game theory notions are injected into a preference learning framework. Specifically, a preference learning problem…

Machine Learning · Computer Science 2018-12-20 Mirko Polato , Fabio Aiolli

Not all real-world data are labeled, and when labels are not available, it is often costly to obtain them. Moreover, as many algorithms suffer from the curse of dimensionality, reducing the features in the data to a smaller set is often of…

Machine Learning · Computer Science 2022-05-19 Chiara Balestra , Florian Huber , Andreas Mayr , Emmanuel Müller

Ranked enumeration is a query-answering paradigm where the query answers are returned incrementally in order of importance (instead of returning all answers at once). Importance is defined by a ranking function that can be specific to the…

Databases · Computer Science 2025-02-07 Nikolaos Tziavelis , Wolfgang Gatterbauer , Mirek Riedewald

This preliminary note presents a heuristic for determining rank constrained solutions to linear matrix equations (LME). The method proposed here is based on minimizing a non-convex quadratic functional, which will hence-forth be termed as…

Optimization and Control · Mathematics 2018-09-10 Shravan Mohan

We consider a game-theoretic model of information retrieval with strategic authors. We examine two different utility schemes: authors who aim at maximizing exposure and authors who want to maximize active selection of their content (i.e.…

Computer Science and Game Theory · Computer Science 2019-02-21 Omer Ben-Porat , Itay Rosenberg , Moshe Tennenholtz

We propose a new framework for imitation learning -- treating imitation as a two-player ranking-based game between a policy and a reward. In this game, the reward agent learns to satisfy pairwise performance rankings between behaviors,…

Machine Learning · Computer Science 2023-01-18 Harshit Sikchi , Akanksha Saran , Wonjoon Goo , Scott Niekum

Learning-to-rank (LTR) is a class of supervised learning techniques that apply to ranking problems dealing with a large number of features. The popularity and widespread application of LTR models in prioritizing information in a variety of…

Machine Learning · Computer Science 2020-05-19 Jaspreet Singh , Zhenye Wang , Megha Khosla , Avishek Anand

Recommender systems are aimed at generating a personalized ranked list of items that an end user might be interested in. With the unprecedented success of deep learning in computer vision and speech recognition, recently it has been a hot…

Information Retrieval · Computer Science 2018-08-16 Bo Song , Xin Yang , Yi Cao , Congfu Xu