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This paper examines the problem of ranking a collection of objects using pairwise comparisons (rankings of two objects). In general, the ranking of $n$ objects can be identified by standard sorting methods using $n log_2 n$ pairwise…

Machine Learning · Computer Science 2011-12-13 Kevin G. Jamieson , Robert D. Nowak

Whether the goal is to analyze voting behavior, locate facilities, or recommend products, the problem of translating between (ordinal) rankings and (numerical) utilities arises naturally in many contexts. This task is commonly approached by…

Theoretical Economics · Economics 2026-02-03 Joshua Zeitlin , Corinna Coupette

We analyze the problem of learning a single user's preferences in an active learning setting, sequentially and adaptively querying the user over a finite time horizon. Learning is conducted via choice-based queries, where the user selects…

Machine Learning · Statistics 2017-02-27 Stephen N. Pallone , Peter I. Frazier , Shane G. Henderson

Collaborative filtering is the process of making recommendations regarding the potential preference of a user, for example shopping on the Internet, based on the preference ratings of the user and a number of other users for various items.…

Information Retrieval · Computer Science 2013-01-14 Rita Sharma , David L Poole

Model-based methods for recommender systems have been studied extensively for years. Modern recommender systems usually resort to 1) representation learning models which define user-item preference as the distance between their embedding…

Information Retrieval · Computer Science 2022-03-01 Rihan Chen , Bin Liu , Han Zhu , Yaoxuan Wang , Qi Li , Buting Ma , Qingbo Hua , Jun Jiang , Yunlong Xu , Hongbo Deng , Bo Zheng

Suppose that we wish to estimate a vector $\mathbf{x}$ from a set of binary paired comparisons of the form "$\mathbf{x}$ is closer to $\mathbf{p}$ than to $\mathbf{q}$" for various choices of vectors $\mathbf{p}$ and $\mathbf{q}$. The…

Machine Learning · Statistics 2021-08-31 Andrew K. Massimino , Mark A. Davenport

In heterogeneous rank aggregation problems, users often exhibit various accuracy levels when comparing pairs of items. Thus a uniform querying strategy over users may not be optimal. To address this issue, we propose an elimination-based…

Machine Learning · Computer Science 2021-10-11 Yue Wu , Tao Jin , Hao Lou , Pan Xu , Farzad Farnoud , Quanquan Gu

Motivated by an application of eliciting users' preferences, we investigate the problem of learning hemimetrics, i.e., pairwise distances among a set of $n$ items that satisfy triangle inequalities and non-negativity constraints. In our…

Machine Learning · Statistics 2016-05-30 Adish Singla , Sebastian Tschiatschek , Andreas Krause

We consider sequential or active ranking of a set of n items based on noisy pairwise comparisons. Items are ranked according to the probability that a given item beats a randomly chosen item, and ranking refers to partitioning the items…

Machine Learning · Computer Science 2016-09-26 Reinhard Heckel , Nihar B. Shah , Kannan Ramchandran , Martin J. Wainwright

In the search and retrieval of multimedia objects, it is impractical to either manually or automatically extract the contents for indexing since most of the multimedia contents are not machine extractable, while manual extraction tends to…

Information Retrieval · Computer Science 2019-11-25 Nikki Lijing Kuang , Clement H. C. Leung

This paper introduces Seeker, a system that allows users to interactively refine search rankings in real time, through feedback in the form of likes and dislikes. When searching online, users may not know how to accurately describe their…

Information Retrieval · Computer Science 2020-06-09 Ari Biswas , Thai T Pham , Michael Vogelsong , Benjamin Snyder , Houssam Nassif

In this paper, we propose a novel ranking framework for collaborative filtering with the overall aim of learning user preferences over items by minimizing a pairwise ranking loss. We show the minimization problem involves dependent random…

Motivated by modern applications such as computerized adaptive testing, sequential rank aggregation, and heterogeneous data source selection, we study the problem of active sequential estimation, which involves adaptively selecting…

Statistics Theory · Mathematics 2024-02-14 Xiaoou Li , Hongru Zhao

We consider the problem of finding a target object $t$ using pairwise comparisons, by asking an oracle questions of the form \emph{"Which object from the pair $(i,j)$ is more similar to $t$?"}. Objects live in a space of latent features,…

Machine Learning · Statistics 2020-09-04 Daniyar Chumbalov , Lucas Maystre , Matthias Grossglauser

User embeddings (vectorized representations of a user) are essential in recommendation systems. Numerous approaches have been proposed to construct a representation for the user in order to find similar items for retrieval tasks, and they…

Information Retrieval · Computer Science 2023-05-29 Hui Shi , Yupeng Gu , Yitong Zhou , Bo Zhao , Sicun Gao , Jishen Zhao

In multi-objective decision planning and learning, much attention is paid to producing optimal solution sets that contain an optimal policy for every possible user preference profile. We argue that the step that follows, i.e, determining…

Machine Learning · Computer Science 2018-02-22 Luisa M Zintgraf , Diederik M Roijers , Sjoerd Linders , Catholijn M Jonker , Ann Nowé

Learning an ordering of items based on pairwise comparisons is useful when items are difficult to rate consistently on an absolute scale, for example, when annotators have to make subjective assessments. When exhaustive comparison is…

Machine Learning · Computer Science 2024-10-29 Herman Bergström , Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

Search behaviour is characterised using synonymy and polysemy as users often want to search information based on meaning. Semantic representation strategies represent a move towards richer associative connections that can adequately capture…

Information Retrieval · Computer Science 2026-02-06 Niall McCarroll , Kevin Curran , Eugene McNamee , Angela Clist , Andrew Brammer

This paper studies the problem of finding the exact ranking from noisy comparisons. A comparison over a set of $m$ items produces a noisy outcome about the most preferred item, and reveals some information about the ranking. By repeatedly…

Machine Learning · Computer Science 2021-07-30 Wenbo Ren , Jia Liu , Ness B. Shroff

In this paper we model the problem of learning preferences of a population as an active learning problem. We propose an algorithm can adaptively choose pairs of items to show to users coming from a heterogeneous population, and use the…

Machine Learning · Statistics 2016-06-23 Aniruddha Bhargava , Ravi Ganti , Robert Nowak
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