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Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

Social choice has become a foundational component of modern machine learning systems. From auctions and resource allocation to the alignment of large generative models, machine learning pipelines increasingly aggregate heterogeneous…

Artificial Intelligence · Computer Science 2026-02-24 Zhiyu An , Wan Du

This work contributes to a foundational question in economic theory: how do individual-level cognitive biases interact with collective choice mechanisms? We study a setting where voters hold intrinsic preference rankings over a set of…

Theoretical Economics · Economics 2026-02-24 Federico Fioravanti , Zoi Terzopoulou

Interactions between pieces of information (entities) play a substantial role in the way an individual acts on them: adoption of a product, the spread of news, strategy choice, etc. However, the underlying interaction mechanisms are often…

Machine Learning · Computer Science 2022-02-02 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

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

Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David Chavalarias

Collaborative filtering is a very useful general technique for exploiting the preference patterns of a group of users to predict the utility of items to a particular user. Previous research has studied several probabilistic graphic models…

Information Retrieval · Computer Science 2012-12-12 Rong Jin , Luo Si , ChengXiang Zhai

The interactions between three or more random variables are often nontrivial, poorly understood, and yet, are paramount for future advances in fields such as network information theory, neuroscience, genetics and many others. In this work,…

Information Theory · Computer Science 2016-04-20 Fernando Rosas , Vasilis Ntranos , Christopher J. Ellison , Sofie Pollin , Marian Verhelst

Humans and other animals often follow the decisions made by others because these are indicative of the quality of possible choices, resulting in `social response rules': observed relationships between the probability that an agent will make…

Physics and Society · Physics 2025-10-28 Richard P. Mann

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

In quantum systems, entanglement corresponds to nonclassical correlation of nonlocal observables. Thus, entanglement (or, to the contrary, separability) of a given quantum state is not uniquely determined by properties of the state, but may…

Quantum Physics · Physics 2012-05-21 Iacopo Pozzana

Separable Bayesian Networks, or the Influence Model, are dynamic Bayesian Networks in which the conditional probability distribution can be separated into a function of only the marginal distribution of a node's neighbors, instead of the…

Artificial Intelligence · Computer Science 2012-07-02 Chalee Asavathiratham

Collective decision-making is a widespread phenomenon in both biological and artificial systems, where individuals reach a consensus through social interactions. While traditional models of opinion dynamics and contagion focus on pairwise…

Physics and Society · Physics 2025-10-02 David March-Pons , Romualdo Pastor-Satorras , M. Carmen Miguel

We present theoretical analysis and a suite of tests and procedures for addressing a broad class of redundant and misleading association rules we call \emph{specious rules}. Specious dependencies, also known as \emph{spurious},…

Artificial Intelligence · Computer Science 2017-09-13 Wilhelmiina Hämäläinen , Geoffrey I. Webb

Cooperation on social networks is crucial for understanding human survival and development. Although network structure has been found to significantly influence cooperation, human experiments have observed different cooperation phenomena…

Physics and Society · Physics 2025-08-25 Zhihao Hou , Zhikun She , Quanyi Liang , Qi Su , Daqing Li

We study deliberative social choice, where voters engage in small-group discussions to output collective preferences that are then aggregated by a social choice rule. We introduce a simple deliberation-via-matching protocol. In this…

Computer Science and Game Theory · Computer Science 2026-04-27 Kamesh Munagala , Qilin Ye , Ian Zhang

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson

People usually have different intents for choosing items, while their preferences under the same intent may also different. In traditional collaborative filtering approaches, both intent and preference factors are usually entangled in the…

Information Retrieval · Computer Science 2023-05-19 Chao Wang , Hengshu Zhu , Dazhong Shen , Wei wu , Hui Xiong

We study the role of correlation in matching markets, where multiple decision-makers simultaneously face selection problems from the same pool of candidates. We propose a model in which a candidate's priority scores across different…

Computer Science and Game Theory · Computer Science 2025-12-08 Rémi Castera , Patrick Loiseau , Bary S. R. Pradelski

We develop a general model of discrete choice that incorporates peer effects in preferences and consideration sets. We characterize the equilibrium behavior and establish conditions under which all parts of the model can be recovered from a…

General Economics · Economics 2026-02-05 Nail Kashaev , Natalia Lazzati , Ruli Xiao