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Related papers: Random Almost-Popular Matchings

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Popularity bias is a well-known issue in recommender systems where few popular items are over-represented in the input data, while majority of other less popular items are under-represented. This disparate representation often leads to bias…

Information Retrieval · Computer Science 2023-10-05 Masoud Mansoury , Finn Duijvestijn , Imane Mourabet

Ranking algorithms play a crucial role in online platforms ranging from search engines to recommender systems. In this paper, we identify a surprising consequence of popularity-based rankings: the fewer the items reporting a given signal,…

Information Retrieval · Computer Science 2022-04-29 Fabrizio Germano , Vicenç Gómez , Gaël Le Mens

The \emph{Single-Source Personalized PageRank} (SSPPR) query is central to graph OLAP, measuring the probability $\pi(s,t)$ that an $\alpha$-decay random walk from node $s$ terminates at $t$. Despite decades of research, a significant gap…

Data Structures and Algorithms · Computer Science 2026-04-14 Xinpeng Jiang , Haoyu Liu , Siqiang Luo , Xiaokui Xiao

We propose the Pseudo-Mallows distribution over the set of all permutations of $n$ items, to approximate the posterior distribution with a Mallows likelihood. The Mallows model has been proven to be useful for recommender systems where it…

Methodology · Statistics 2022-05-30 Qinghua Liu , Valeria Vitelli , Carlo Mannino , Arnoldo Frigessi , Ida Scheel

Recently there has been a growing interest in fairness-aware recommender systems including fairness in providing consistent performance across different users or groups of users. A recommender system could be considered unfair if the…

Information Retrieval · Computer Science 2020-08-24 Himan Abdollahpouri , Masoud Mansoury , Robin Burke , Bamshad Mobasher

We consider a model of asexually reproducing individuals with random mutations and selection. The rate of mutations is proportional to the population size, $N$. The mutations may be either beneficial or deleterious. In a paper by Yu,…

Probability · Mathematics 2015-08-20 Michael Kelly

Given a graph $G = (V,E)$ where every vertex has a weak ranking over its neighbors, we consider the problem of computing an optimal matching as per agent preferences. Classical notions of optimality such as stability and its relaxation…

Computer Science and Game Theory · Computer Science 2023-05-30 Telikepalli Kavitha , Rohit Vaish

We consider the problem of probably approximately correct (PAC) ranking $n$ items by adaptively eliciting subset-wise preference feedback. At each round, the learner chooses a subset of $k$ items and observes stochastic feedback indicating…

Machine Learning · Computer Science 2019-03-06 Aadirupa Saha , Aditya Gopalan

We investigate majority rule dynamics in a population with two classes of people, each with two opinion states $\pm 1$, and with tunable interactions between people in different classes. In an update, a randomly selected group adopts the…

Statistical Mechanics · Physics 2021-06-23 P. L. Krapivsky , S. Redner

Popularity is often included in experimental evaluation to provide a reference performance for a recommendation task. To understand how popularity baseline is defined and evaluated, we sample 12 papers from top-tier conferences including…

Information Retrieval · Computer Science 2020-06-03 Yitong Ji , Aixin Sun , Jie Zhang , Chenliang Li

We consider the max-size popular matching problem in a roommates instance G = (V,E) with strict preference lists. A matching M is popular if there is no matching M' in G such that the vertices that prefer M' to M outnumber those that prefer…

Data Structures and Algorithms · Computer Science 2018-02-22 Telikepalli Kavitha

Consider n individuals who, by popular vote, choose among q >= 2 alternatives, one of which is "better" than the others. Assume that each individual votes independently at random, and that the probability of voting for the better…

Statistics Theory · Mathematics 2014-11-25 Elchanan Mossel , Joe Neeman , Omer Tamuz

Recommender systems learn from historical users' feedback that is often non-uniformly distributed across items. As a consequence, these systems may end up suggesting popular items more than niche items progressively, even when the latter…

Information Retrieval · Computer Science 2020-10-06 Ludovico Boratto , Gianni Fenu , Mirko Marras

Several studies have identified discrepancies between the popularity of items in user profiles and the corresponding recommendation lists. Such behavior, which concerns a variety of recommendation algorithms, is referred to as popularity…

Information Retrieval · Computer Science 2021-08-17 Oleg Lesota , Alessandro B. Melchiorre , Navid Rekabsaz , Stefan Brandl , Dominik Kowald , Elisabeth Lex , Markus Schedl

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

In the house allocation problem with lower and upper quotas, we are given a set of applicants and a set of projects. Each applicant has a strictly ordered preference list over the projects, while the projects are equipped with a lower and…

Computer Science and Game Theory · Computer Science 2021-07-09 Ágnes Cseh , Tobias Friedrich , Jannik Peters

We consider the popular matching problem in a roommates instance with strict preference lists. While popular matchings always exist in a bipartite instance, they need not exist in a roommates instance. The complexity of the popular matching…

Data Structures and Algorithms · Computer Science 2018-04-10 Telikepalli Kavitha

We study the problem of {\em impartial selection}, a topic that lies at the intersection of computational social choice and mechanism design. The goal is to select the most popular individual among a set of community members. The input can…

Computer Science and Game Theory · Computer Science 2021-02-19 Ioannis Caragiannis , George Christodoulou , Nicos Protopapas

The Mallows model is a popular distribution for ranked data. We empirically and theoretically analyze how the properties of rankings sampled from the Mallows model change when increasing the number of alternatives. We find that real-world…

Methodology · Statistics 2024-01-29 Niclas Boehmer , Piotr Faliszewski , Sonja Kraiczy

Using techniques from Poisson approximation, we prove explicit error bounds on the number of permutations that avoid any pattern. Most generally, we bound the total variation distance between the joint distribution of pattern occurrences…

Combinatorics · Mathematics 2023-06-22 Harry Crane , Stephen DeSalvo