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Learning from implicit user feedback is challenging as we can only observe positive samples but never access negative ones. Most conventional methods cope with this issue by adopting a pairwise ranking approach with negative sampling.…

信息检索 · 计算机科学 2021-01-20 Riku Togashi , Masahiro Kato , Mayu Otani , Shin'ichi Satoh

In this paper, we consider a subset selection problem in a spatial field where we seek to find a set of k locations whose observations provide the best estimate of the field value at a finite set of prediction locations. The measurements…

最优化与控制 · 数学 2022-04-12 Shamak Dutta , Nils Wilde , Stephen L. Smith

This paper proposes a new method for solving the well-known rank aggregation problem from pairwise comparisons using the method of low-rank matrix completion. The partial and noisy data of pairwise comparisons is transformed into a matrix…

机器学习 · 统计学 2018-06-15 Tal Levy , Alireza Vahid , Raja Giryes

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

统计理论 · 数学 2019-09-04 Toby Kenney

Many algorithms for approximate nearest neighbor search in high-dimensional spaces partition the data into clusters. At query time, in order to avoid exhaustive search, an index selects the few (or a single) clusters nearest to the query…

计算机视觉与模式识别 · 计算机科学 2010-09-27 Romain Tavenard , Laurent Amsaleg , Hervé Jégou

Winner selection by majority, in an election between two candidates, is the only rule compatible with democratic principles. Instead, when the candidates are three or more and the voters rank candidates in order of preference, there are no…

物理与社会 · 物理学 2016-04-19 Pierluigi Contucci , Emanuele Panizzi , Federico Ricci-Tersenghi , Alina Sîrbu

Uncertainty arises naturally inmany application domains due to, e.g., data entry errors and ambiguity in data cleaning. Prior work in incomplete and probabilistic databases has investigated the semantics and efficient evaluation of ranking…

数据库 · 计算机科学 2023-05-04 Su Feng , Boris Glavic , Oliver Kennedy

We consider the problem of subspace clustering: given points that lie on or near the union of many low-dimensional linear subspaces, recover the subspaces. To this end, one first identifies sets of points close to the same subspace and uses…

机器学习 · 统计学 2014-11-03 Dohyung Park , Constantine Caramanis , Sujay Sanghavi

We study the ranking of individuals, teams, or objects, based on pairwise comparisons between them, using the Bradley-Terry model. Estimates of rankings within this model are commonly made using a simple iterative algorithm first introduced…

机器学习 · 统计学 2023-08-16 M. E. J. Newman

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,…

数据结构与算法 · 计算机科学 2023-08-22 Diptarka Chakraborty , Syamantak Das , Arindam Khan , Aditya Subramanian

Coresets are compact representations of data sets such that models trained on a coreset are provably competitive with models trained on the full data set. As such, they have been successfully used to scale up clustering models to massive…

机器学习 · 统计学 2018-06-08 Olivier Bachem , Mario Lucic , Andreas Krause

The Minimum Weighted Feedback Arc Set (MWFAS) problem is closely related to the task of deriving a global ranking from pairwise comparisons. Recent work by He et al. (ICML 2022) advanced the state of the art on ranking benchmarks using…

信息检索 · 计算机科学 2025-12-05 Soroush Vahidi , Ioannis Koutis

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

机器学习 · 统计学 2022-10-21 M. E. J. Newman

We study the active learning problem of top-$k$ ranking from multi-wise comparisons under the popular multinomial logit model. Our goal is to identify the top-$k$ items with high probability by adaptively querying sets for comparisons and…

数据结构与算法 · 计算机科学 2017-08-01 Xi Chen , Yuanzhi Li , Jieming Mao

In the k-Kemeny problem, we are given an ordinal election, i.e., a collection of votes ranking the candidates from best to worst, and we seek the smallest number of swaps of adjacent candidates that ensure that the election has at most k…

计算机科学与博弈论 · 计算机科学 2025-09-22 Piotr Faliszewski , Krzysztof Sornat , Stanisław Szufa , Tomasz Wąs

A new class of general exponential ranking models is introduced which we label angle-based models for ranking data. A consensus score vector is assumed, which assigns scores to a set of items, where the scores reflect a consensus view of…

统计方法学 · 统计学 2017-12-27 Hang Xu , Mayer Alvo , Philip L. H. Yu

We revisit the problem of inferring the overall ranking among entities in the framework of Bradley-Terry-Luce (BTL) model, based on available empirical data on pairwise preferences. By a simple transformation, we can cast the problem as…

机器学习 · 计算机科学 2016-05-10 Vivek S. Borkar , Nikhil Karamchandani , Sharad Mirani

Ranking and comparing items is crucial for collecting information about preferences in many areas, from marketing to politics. The Mallows rank model is among the most successful approaches to analyse rank data, but its computational…

统计方法学 · 统计学 2017-04-28 Valeria Vitelli , Øystein Sørensen , Marta Crispino , Arnoldo Frigessi , Elja Arjas

Van Zuylen et al. [35] introduced the notion of a popular ranking in a voting context, where each voter submits a strict ranking of all candidates. A popular ranking $\pi$ of the candidates is at least as good as any other ranking $\sigma$…

计算机科学与博弈论 · 计算机科学 2023-07-14 Sonja Kraiczy , Agnes Cseh , David Manlove

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…

数值分析 · 计算机科学 2011-02-24 David F. Gleich , Lek-Heng Lim