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In recent years rank aggregation has received significant attention from the machine learning community. The goal of such a problem is to combine the (partially revealed) preferences over objects of a large population into a single,…

Machine Learning · Statistics 2014-10-06 Yu Lu , Sahand N. Negahban

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

The well-studied problem of statistical rank aggregation has been applied to comparing sports teams, information retrieval, and most recently to data generated by human judgment. Such human-generated rankings may be substantially different…

Information Retrieval · Computer Science 2014-11-05 Andrew Mao , Hossein Azari Soufiani , Yiling Chen , David C. Parkes

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

The rank aggregation problem, which has many real-world applications, refers to the process of combining multiple input rankings into a single aggregated ranking. In dynamic settings, where new rankings arrive over time, efficiently…

Data Structures and Algorithms · Computer Science 2025-09-04 Morteza Alimi , Hourie Mehrabiun , Alireza Zarei

Unsupervised rank aggregation on score-based permutations, which is widely used in many applications, has not been deeply explored yet. This work studies the use of submodular optimization for rank aggregation on score-based permutations in…

Machine Learning · Computer Science 2017-09-08 Jun Qi , Xu Liu , Javier Tejedor , Shunsuke Kamijo

Rank aggregation is an essential approach for aggregating the preferences of multiple agents. One rule of particular interest is the Kemeny rule, which maximises the number of pairwise agreements between the final ranking and the existing…

Data Structures and Algorithms · Computer Science 2014-05-06 Gattaca Lv

Ensuring fairness in algorithmic ranking systems is a critical challenge with significant societal implications for hiring, recommendations, web search, and data management. Standard methods for aggregating multiple preference orders into a…

Data Structures and Algorithms · Computer Science 2026-05-25 Diptarka Chakraborty , Arya Mazumdar , Barna Saha , Alvin Hong Yao Yan

Ranking is used for a wide array of problems, most notably information retrieval (search). There are a number of popular approaches to the evaluation of ranking such as Kendall's $\tau$, Average Precision, and nDCG. When dealing with…

Information Retrieval · Computer Science 2026-05-08 Denys Katerenchuk , Andrew Rosenberg

As the issue of robustness in AI systems becomes vital, statistical learning techniques that are reliable even in presence of partly contaminated data have to be developed. Preference data, in the form of (complete) rankings in the simplest…

Machine Learning · Computer Science 2023-03-24 Morgane Goibert , Clément Calauzènes , Ekhine Irurozki , Stéphan Clémençon

In this work, we adapt the rank aggregation framework for the discovery of optimal course sequences at the university level. Each student provides a partial ranking of the courses taken throughout his or her undergraduate career. We compute…

Machine Learning · Computer Science 2016-03-10 Mihai Cucuringu , Charlie Marshak , Dillon Montag , Puck Rombach

Ranking algorithms find extensive usage in diverse areas such as web search, employment, college admission, voting, etc. The related rank aggregation problem deals with combining multiple rankings into a single aggregate ranking. However,…

Data Structures and Algorithms · Computer Science 2023-08-22 Diptarka Chakraborty , Syamantak Das , Arindam Khan , Aditya Subramanian

Online learning to rank is a sequential decision-making problem where in each round the learning agent chooses a list of items and receives feedback in the form of clicks from the user. Many sample-efficient algorithms have been proposed…

Machine Learning · Statistics 2019-03-20 Tor Lattimore , Branislav Kveton , Shuai Li , Csaba Szepesvari

Data in the form of ranking lists are frequently encountered, and combining ranking results from different sources can potentially generate a better ranking list and help understand behaviors of the rankers. Of interest here are the rank…

Methodology · Statistics 2020-07-20 Xinran Li , Dingdong Yi , Jun S. Liu

Rank-based inference methods are applied in various disciplines, typically when procedures relying on standard normal theory are not justifiable, for example when data are not symmetrically distributed, contain outliers, or responses are…

Statistics Theory · Mathematics 2018-02-16 Edgar Brunner , Frank Konietschke , Arne C. Bathke , Markus Pauly

Proportional ranking rules aggregate approval-style preferences of agents into a collective ranking such that groups of agents with similar preferences are adequately represented. Motivated by the application of live Q&A platforms, where…

Computer Science and Game Theory · Computer Science 2021-05-18 Jonas Israel , Markus Brill

The process of rank aggregation is intimately intertwined with the structure of skew-symmetric matrices. We apply recent advances in the theory and algorithms of matrix completion to skew-symmetric matrices. This combination of ideas…

Numerical Analysis · Computer Science 2011-02-24 David F. Gleich , Lek-Heng Lim

Aggregating multiple input rankings into a consensus ranking is essential in various fields such as social choice theory, hiring, college admissions, web search, and databases. A major challenge is that the optimal consensus ranking might…

Data Structures and Algorithms · Computer Science 2026-02-25 Diptarka Chakraborty , Himika Das , Sanjana Dey , Alvin Hong Yao Yan

This study considers the method to derive a ranking of alternatives by aggregating the rankings submitted by several individuals who may not evaluate all of them. The collection of subsets of alternatives that individuals (can) evaluate is…

Theoretical Economics · Economics 2024-09-18 Yasunori Okumura

In rank aggregation, members of a population rank issues to decide which are collectively preferred. We focus instead on identifying divisive issues that express disagreements among the preferences of individuals. We analyse the properties…

Multiagent Systems · Computer Science 2023-06-16 Rachael Colley , Umberto Grandi , César Hidalgo , Mariana Macedo , Carlos Navarrete