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This paper is concerned with the problem of top-$K$ ranking from pairwise comparisons. Given a collection of $n$ items and a few pairwise comparisons across them, one wishes to identify the set of $K$ items that receive the highest ranks.…

Machine Learning · Statistics 2019-06-13 Yuxin Chen , Jianqing Fan , Cong Ma , Kaizheng Wang

Interleaving is an online evaluation approach for information retrieval systems that compares the effectiveness of ranking functions in interpreting the users' implicit feedback. Previous work such as Hofmann et al (2011) has evaluated the…

Information Retrieval · Computer Science 2023-03-20 Alessandro Benedetti , Anna Ruggero

A reciprocal recommendation problem is one where the goal of learning is not just to predict a user's preference towards a passive item (e.g., a book), but to recommend the targeted user on one side another user from the other side such…

Machine Learning · Computer Science 2018-06-05 Fabio Vitale , Nikos Parotsidis , Claudio Gentile

Large language models are often ranked according to their level of alignment with human preferences -- a model is better than other models if its outputs are more frequently preferred by humans. One of the popular ways to elicit human…

Machine Learning · Computer Science 2024-12-05 Ivi Chatzi , Eleni Straitouri , Suhas Thejaswi , Manuel Gomez Rodriguez

We study the problem of aggregating individual preferences over alternatives into a collective ranking. A distinctive feature of our setting is that agents are matched to alternatives. Applications include rankings of colleges or academic…

Theoretical Economics · Economics 2026-02-11 Gaurab Aryal , Thayer Morrill , Peter Troyan

We consider the predictive problem of supervised ranking, where the task is to rank sets of candidate items returned in response to queries. Although there exist statistical procedures that come with guarantees of consistency in this…

Statistics Theory · Mathematics 2013-11-27 John C. Duchi , Lester Mackey , Michael I. Jordan

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

Computer Science and Game Theory · Computer Science 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

Collaborative filtering or recommender systems use a database about user preferences to predict additional topics or products a new user might like. In this paper we describe several algorithms designed for this task, including techniques…

Information Retrieval · Computer Science 2013-02-01 John S. Breese , David Heckerman , Carl Kadie

We consider the estimation accuracy of individual strength parameters of a Thurstone choice model when each input observation consists of a choice of one item from a set of two or more items (so called top-1 lists). This model accommodates…

Statistics Theory · Mathematics 2017-05-02 Milan Vojnovic , Se-Young Yun

Rankings on online platforms help their end-users find the relevant information -- people, news, media, and products -- quickly. Fair ranking tasks, which ask to rank a set of items to maximize utility subject to satisfying group-fairness…

Computers and Society · Computer Science 2023-06-22 Sruthi Gorantla , Anay Mehrotra , Amit Deshpande , Anand Louis

Our work aimed at experimentally assessing the benefits of model ensembling within the context of neural methods for passage reranking. Starting from relatively standard neural models, we use a previous technique named Fast Geometric…

Information Retrieval · Computer Science 2021-01-22 Luís Borges , Bruno Martins , Jamie Callan

This paper studies human preference learning based on partially revealed choice behavior and formulates the problem as a generalized Bradley-Terry-Luce (BTL) ranking model that accounts for heterogeneous preferences. Specifically, we assume…

Methodology · Statistics 2025-09-03 Jianqing Fan , Hyukjun Kwon , Xiaonan Zhu

This paper presents an advanced mathematical problem-solving framework, LLaMA-Berry, for enhancing the mathematical reasoning ability of Large Language Models (LLMs). The framework combines Monte Carlo Tree Search (MCTS) with iterative…

Artificial Intelligence · Computer Science 2024-11-22 Di Zhang , Jianbo Wu , Jingdi Lei , Tong Che , Jiatong Li , Tong Xie , Xiaoshui Huang , Shufei Zhang , Marco Pavone , Yuqiang Li , Wanli Ouyang , Dongzhan Zhou

We present a theoretical analysis of the Elo rating system, a popular method for ranking skills of players in an online setting. In particular, we study Elo under the Bradley--Terry--Luce model and, using techniques from Markov chain…

Probability · Mathematics 2024-06-11 Sam Olesker-Taylor , Luca Zanetti

In several decision-making problems, alternatives should be ranked on the basis of paired comparisons between them. We present an axiomatic approach for the universal ranking problem with arbitrary preference intensities, incomplete and…

Computer Science and Game Theory · Computer Science 2019-04-10 László Csató

The pairwise comparisons method is a convenient tool used when the relative order of preferences among different concepts (alternatives) needs to be determined. There are several popular implementations of this method, including the…

Discrete Mathematics · Computer Science 2018-02-08 Konrad Kułakowski

Multi-criteria recommender systems can improve the quality of recommendations by considering user preferences on multiple criteria. One promising approach proposed recently is multi-criteria ranking, which uses Pareto ranking to assign a…

Information Retrieval · Computer Science 2023-06-21 Yong Zheng , David Xuejun Wang

Audio signal processing algorithms are frequently assessed through subjective listening tests in which participants directly score degraded signals on a unidimensional numerical scale. However, this approach is susceptible to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-26 Jack Webb , Lorenzo Picinali

We study very simple sorting algorithms based on a probabilistic comparator model. In our model, errors in comparing two elements are due to (1) the energy or effort put in the comparison and (2) the difference between the compared…

Data Structures and Algorithms · Computer Science 2018-05-16 Barbara Geissmann , Paolo Penna

In this paper we propose a causal modeling approach to intersectional fairness, and a flexible, task-specific method for computing intersectionally fair rankings. Rankings are used in many contexts, ranging from Web search results to…

Machine Learning · Computer Science 2020-06-17 Ke Yang , Joshua R. Loftus , Julia Stoyanovich
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