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During the last decades, quite a number of interacting particle systems have been introduced and studied in the border area of mathematics and statistical physics. Some of these can be seen as simplistic models for opinion formation…

Probability · Mathematics 2016-01-14 Timo Hirscher

A standard approach to Collaborative Filtering (CF), i.e. prediction of user ratings on items, relies on Matrix Factorization techniques. Representations for both users and items are computed from the observed ratings and used for…

Information Retrieval · Computer Science 2015-06-23 Gabriella Contardo , Ludovic Denoyer , Thierry Artieres

In this study, a new ensemble approach for classifiers is introduced. A verification method for better error elimination is developed through the integration of multiple classifiers. A multi-agent system comprised of multiple classifiers is…

Artificial Intelligence · Computer Science 2022-06-03 Amirhoshang Hoseinpour Dehkordi , Majid Alizadeh , Ali Movaghar

This work explores a social learning problem with agents having nonidentical noise variances and mismatched beliefs. We consider an $N$-agent binary hypothesis test in which each agent sequentially makes a decision based not only on a…

Computer Science and Game Theory · Computer Science 2019-10-02 Daewon Seo , Ravi Kiran Raman , Joong Bum Rhim , Vivek K Goyal , Lav R Varshney

In our recent model, the cooperation emerges as a positive feedback between a not-too-bad reputation and an altruistic attitude. Here we introduce a bias of altruism as to favorize members of the same group. The matrix F(i,j) of frequency…

Physics and Society · Physics 2009-03-24 P. Gawronski , M. J. Krawczyk , K. Kulakowski

Anisimov and Seifert show that a group has a regular word problem ifand only if it is finite. Muller and Schupp (together with Dunwoody's accessibility result) show that a group has context free word problem if and only if it is virtually…

Group Theory · Mathematics 2008-02-03 Michael Shapiro

Ensuring fairness in machine learning predictions is a critical challenge, especially when models are deployed in sensitive domains such as credit scoring, healthcare, and criminal justice. While many fairness interventions rely on data…

Artificial Intelligence · Computer Science 2026-04-09 Irina Arévalo , Marcos Oliva

We present a new model of collective decision making that captures important crowd-funding and donor coordination scenarios. In the setting, there is a set of projects (each with its own cost) and a set of agents (that have their budgets as…

Computer Science and Game Theory · Computer Science 2021-01-29 Haris Aziz , Aditya Ganguly

Imprimitivity theorems provide a fundamental tool for studying the representation theory and structure of crossed-product C*-algebras. In this work, we show that the Imprimitivity Theorem for induced algebras, Green's Imprimitivity Theorem…

Operator Algebras · Mathematics 2007-05-23 Siegfried Echterhoff , S. Kaliszewski , John Quigg , Iain Raeburn

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

Computer Science and Game Theory · Computer Science 2019-07-23 Haris Aziz , Simon Rey

Using the theory of group action, we first introduce the concept of the automorphism group of an exponential family or a graphical model, thus formalizing the general notion of symmetry of a probabilistic model. This automorphism group…

Artificial Intelligence · Computer Science 2012-07-24 Hung Hai Bui , Tuyen N. Huynh , Sebastian Riedel

Recommender systems play a crucial role in mediating our access to online information. We show that such algorithms induce a particular kind of stereotyping: if preferences for a set of items are anti-correlated in the general user…

Information Retrieval · Computer Science 2021-10-06 Wenshuo Guo , Karl Krauth , Michael I. Jordan , Nikhil Garg

We investigate the possibility of an incentive-compatible (IC, a.k.a. strategy-proof) mechanism for the classification of agents in a network according to their reviews of each other. In the $ \alpha $-classification problem we are…

Computer Science and Game Theory · Computer Science 2019-11-21 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

Recently, group recommendations have attracted considerable attention. Rather than recommending items to individual users, group recommenders recommend items to groups of users. In this position paper, we introduce the problem of forming an…

Information Retrieval · Computer Science 2013-02-27 Kostas Stefanidis , Evaggelia Pitoura

Deep learning models are powerful image classifiers but their opacity hinders their trustworthiness. Explanation methods for capturing the reasoning process within these classifiers faithfully and in a clear manner are scarce, due to their…

Artificial Intelligence · Computer Science 2025-02-19 Avinash Kori , Antonio Rago , Francesca Toni

We investigate the fairness issue in classification, where automated decisions are made for individuals from different protected groups. In high-consequence scenarios, decision errors can disproportionately affect certain protected groups,…

Methodology · Statistics 2026-01-16 Bradley Rava , Wenguang Sun , Gareth M. James , Xin Tong

Algorithmic risk assessments are used to inform decisions in a wide variety of high-stakes settings. Often multiple predictive models deliver similar overall performance but differ markedly in their predictions for individual cases, an…

Machine Learning · Computer Science 2021-05-04 Amanda Coston , Ashesh Rambachan , Alexandra Chouldechova

Let $G$ be a unitriangular matrix group of nilpotency class at most ten. We show that the Identity Problem (does a semigroup contain the identity matrix?) and the Group Problem (is a semigroup a group?) are decidable in polynomial time for…

Discrete Mathematics · Computer Science 2023-09-12 Ruiwen Dong

Unsupervised person re-identification (re-ID) remains a challenging task. While extensive research has focused on the framework design and loss function, this paper shows that sampling strategy plays an equally important role. We analyze…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Xumeng Han , Xuehui Yu , Guorong Li , Jian Zhao , Gang Pan , Qixiang Ye , Jianbin Jiao , Zhenjun Han

In 1955 George Mackey suggested that there is a fundamental dichotomy in the unitary representation theory of locally compact second countable groups. He felt that there cannnot be a reasonable classification theory for the unitary…

Logic · Mathematics 2007-08-03 Edward G. Effros
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