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Peer effect estimation requires precise network measurement, yet most empirical networks are noisy, rendering standard estimators inconsistent. To address measurement error in networks, we propose a method to estimate peer effects in…

Methodology · Statistics 2026-05-06 Alex Hayes , Keith Levin

We propose a constraint-based algorithm, which automatically determines causal relevance thresholds, to infer causal networks from data. We call these topological thresholds. We present two methods for determining the threshold: the first…

Machine Learning · Statistics 2024-04-24 Filipe Barroso , Diogo Gomes , Gareth J. Baxter

Longitudinal bipartite relational data characterize the evolution of relations between pairs of actors, where actors are of two distinct types and relations exist only between disparate types. A common goal is to understand the temporal…

Threshold models and their dynamics may be used to model the spread of `behaviors' in social networks. Regarding such from a modal logical perspective, it is shown how standard update mechanisms may be emulated using action models -- graphs…

Computer Science and Game Theory · Computer Science 2017-08-07 Rasmus K. Rendsvig

Diffusion of information, behavioral patterns or innovations follows diverse pathways depending on a number of conditions, including the structure of the underlying social network, the sensitivity to peer pressure and the influence of…

Physics and Society · Physics 2015-11-25 Zhongyuan Ruan , Gerardo Iniguez , Marton Karsai , Janos Kertesz

Opinion leaders are ubiquitous in both online and offline social networks, but the impacts of opinion leaders on social behavior contagions are still not fully understood, especially by using a mathematical model. Here we generalize the…

Physics and Society · Physics 2018-05-23 Quan-Hui Liu , Feng-Mao Lü , Qian Zhang , Ming Tang , Tao Zhou

Convenient access to observational data enables us to learn causal effects without randomized experiments. This research direction draws increasing attention in research areas such as economics, healthcare, and education. For example, we…

Social and Information Networks · Computer Science 2019-12-03 Ruocheng Guo , Jundong Li , Huan Liu

We study how a behavior (an idea, buying a product, having a disease, adopting a cultural fad or a technology) spreads among agents in an a social network that exhibits segregation or homophily (the tendency of agents to associate with…

Physics and Society · Physics 2011-11-02 Matthew O. Jackson , Dunia Lopez-Pintado

Hypergraphs provide an effective abstraction for modeling multi-way group interactions among nodes, where each hyperedge can connect any number of nodes. Different from most existing studies which leverage statistical dependencies, we study…

Machine Learning · Computer Science 2022-07-12 Jing Ma , Mengting Wan , Longqi Yang , Jundong Li , Brent Hecht , Jaime Teevan

Researchers often have to deal with heterogeneous population with mixed regression relationships, increasingly so in the era of data explosion. In such problems, when there are many candidate predictors, it is not only of interest to…

Methodology · Statistics 2021-02-05 Yan Li , Chun Yu , Yize Zhao , Robert H. Aseltine , Weixin Yao , Kun Chen

A widely studied model of influence diffusion in social networks represents the network as a graph $G=(V,E)$ with an influence threshold $t(v)$ for each node. Initially the members of an initial set $S\subseteq V$ are influenced. During…

Data Structures and Algorithms · Computer Science 2018-07-19 Gennaro Cordasco , Luisa Gargano , Joseph Peters , Adele Anna Rescigno , Ugo Vaccaro

This study introduces a comprehensive framework that situates information cascades within the domain of higher-order interactions, utilizing a double-threshold hypergraph model. We propose that individuals (nodes) gain awareness of…

Physics and Society · Physics 2024-06-14 Lei Chen , Yanpeng Zhu , Jiadong Zhu , Zhongyuan Ruan , Michael Small , Kim Christensen , Run-Ran Liu , Fanyuan Meng

Causal inference has gained much popularity in recent years, with interests ranging from academic, to industrial, to educational, and all in between. Concurrently, the study and usage of neural networks has also grown profoundly (albeit at…

Machine Learning · Statistics 2024-05-07 Demetrios Papakostas , Andrew Herren , P. Richard Hahn , Francisco Castillo

In the problem of influence maximization in information networks, the objective is to choose a set of initially active nodes subject to some budget constraints such that the expected number of active nodes over time is maximized. The linear…

Social and Information Networks · Computer Science 2016-11-06 T. -H. Hubert Chan , Li Ning

Peer prediction mechanisms are typically proposed and analyzed under the assumption that the report and signal spaces are identical. In practice, however, agents often observe richer information which they then map to a coarser report…

Computer Science and Game Theory · Computer Science 2026-03-27 Rafael Frongillo , Ian Kash , Mary Monroe

Peer recommendation is a crowdsourcing task that leverages the opinions of many to identify interesting content online, such as news, images, or videos. Peer recommendation applications often use social signals, e.g., the number of prior…

Physics and Society · Physics 2016-01-28 Tad Hogg , Kristina Lerman

We propose the multidimensional social compass model, based on two competing key ingredients: DeGroot learning, driven by the social influence exerted across multiple topics, and the preference of individuals to maintain their initial…

Physics and Society · Physics 2025-03-05 Jaume Ojer , Michele Starnini , Romualdo Pastor-Satorras

In many scenarios, human decisions are explained based on some high-level concepts. In this work, we take a step in the interpretability of neural networks by examining their internal representation or neuron's activations against concepts.…

Machine Learning · Computer Science 2021-11-09 Mohammad Nokhbeh Zaeem , Majid Komeili

Decomposing an exposure effect on an outcome into separate natural indirect effects through multiple mediators requires strict assumptions, such as correctly postulating the causal structure of the mediators, and no unmeasured confounding…

Methodology · Statistics 2021-02-04 Wen Wei Loh , Beatrijs Moerkerke , Tom Loeys , Stijn Vansteelandt

Collective opinions affect civic participation, governance, and societal norms. Due to the influence of opinion dynamics, many models of their formation and evolution have been developed. A commonly used approach for the study of opinion…

Dynamical Systems · Mathematics 2023-01-06 Claudia Kann , Michelle Feng