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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

Many applications, e.g., Web service composition, complex system design, team formation, etc., rely on methods for identifying collections of objects or entities satisfying some functional requirement. Among the collections that satisfy the…

Artificial Intelligence · Computer Science 2014-01-17 Ganesh Ram Santhanam , Samik Basu , Vasant Honavar

We study the problem of assigning jobs to applicants. Each applicant has a weight and provides a preference list ranking a subset of the jobs. A matching M is popular if there is no other matching M' such that the weight of the applicants…

Data Structures and Algorithms · Computer Science 2007-07-05 Julián Mestre

We consider a generalization of the vertex weighted online bipartite matching problem where the offline vertices, called resources, are reusable. In particular, when a resource is matched it is unavailable for a deterministic time duration…

Data Structures and Algorithms · Computer Science 2022-07-19 Rajan Udwani

Frequently, a set of objects has to be evaluated by a panel of assessors, but not every object is assessed by every assessor. A problem facing such panels is how to take into account different standards amongst panel members and varying…

Methodology · Statistics 2017-02-16 Robert S. MacKay , Ralph Kenna , Robert J. Low , Sarah Parker

How to rank web pages, scientists and online resources has recently attracted increasing attention from both physicists and computer scientists. In this paper, we study the ranking problem of rating systems where users vote objects by…

Information Retrieval · Computer Science 2010-01-14 Luo-Luo Jiang , Matus Medo , Joseph R. Wakeling , Yi-Cheng Zhang , Tao Zhou

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

Machine Learning · Computer Science 2012-07-02 Harald Steck

Previous work on the competitive retrieval setting focused on a single-query setting: document authors manipulate their documents so as to improve their future ranking for a given query. We study a competitive setting where authors opt to…

Information Retrieval · Computer Science 2024-04-16 Haya Nachimovsky , Moshe Tennenholtz , Fiana Raiber , Oren Kurland

We consider the task of collaborative preference completion: given a pool of items, a pool of users and a partially observed item-user rating matrix, the goal is to recover the \emph{personalized ranking} of each user over all of the items.…

Machine Learning · Statistics 2018-04-11 Julian Katz-Samuels , Clayton Scott

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

Computer Science and Game Theory · Computer Science 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

Non-Factoid (NF) Question Answering (QA) is challenging to evaluate due to diverse potential answers and no objective criterion. The commonly used automatic evaluation metrics like ROUGE or BERTScore cannot accurately measure semantic…

Computation and Language · Computer Science 2024-10-01 Sihui Yang , Keping Bi , Wanqing Cui , Jiafeng Guo , Xueqi Cheng

Object ranking is an important problem in the realm of preference learning. On the basis of training data in the form of a set of rankings of objects, which are typically represented as feature vectors, the goal is to learn a ranking…

Machine Learning · Statistics 2018-12-07 Karlson Pfannschmidt , Pritha Gupta , Eyke Hüllermeier

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

The allocation of limited resources to a large number of potential candidates presents a pervasive challenge. In the context of ranking and selecting top candidates from heteroscedastic units, conventional methods often result in…

Methodology · Statistics 2023-06-16 Bowen Gang , Luella Fu , Gareth James , Wenguang Sun

We study functions that produce a ranking of $n$ individuals from $n$ such rankings and are impartial in the sense that the position of an individual in the output ranking does not depend on the input ranking submitted by that individual.…

Computer Science and Game Theory · Computer Science 2023-10-24 Javier Cembrano , Felix Fischer , Max Klimm

Ranking problems, also known as preference learning problems, define a widely spread class of statistical learning problems with many applications, including fraud detection, document ranking, medicine, credit risk screening, image ranking…

Machine Learning · Computer Science 2020-12-17 Tino Werner

Given an incomplete ratings data over a set of users and items, the preference completion problem aims to estimate a personalized total preference order over a subset of the items. In practical settings, a ranked list of top-$k$ items from…

Social and Information Networks · Computer Science 2019-04-16 Shameem A Puthiya Parambath , Nishant Vijayakumar , Sanjay Chawla

We analyze different methods of sorting and selecting a set of objects by their intrinsic value, via pairwise comparisons whose outcome is uncertain. After discussing the limits of repeated Round Robins, two new methods are presented: The…

Statistical Mechanics · Physics 2016-08-31 Paolo Laureti , Joachim Mathiesen , Yi-Cheng Zhang

Heuristic Rating Estimation (HRE) is a newly proposed method supporting decisions analysis based on the use of pairwise comparisons. It allows that the ranking values of some alternatives (herein referred to as concepts) are initially…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski , Katarzyna Grobler-Dębska , Jarosław Wąs

We consider the problem of sequential evaluation, in which an evaluator observes candidates in a sequence and assigns scores to these candidates in an online, irrevocable fashion. Motivated by the psychology literature that has studied…

Machine Learning · Statistics 2023-11-20 Jingyan Wang , Ashwin Pananjady