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We study an influence network of voters subjected to correlated disordered external perturbations, and solve the dynamical equations exactly for fully connected networks. The model has a critical phase transition between disordered unimodal…

Physics and Society · Physics 2018-09-26 Marlon Ramos , Marcus A. M. de Aguiar , Dan Braha

Homophily based on observables is widespread in networks. Therefore, homophily based on unobservables (fixed effects) is also likely to be an important determinant of the interaction outcomes. Failing to properly account for latent…

Econometrics · Economics 2026-02-09 Andrei Zeleneev

It is commonly accepted that some phenomena are social: for example, individuals' smoking habits often correlate with those of their peers. Such correlations can have a variety of explanations, such as direct contagion or shared…

Statistics Theory · Mathematics 2025-08-08 William W. Wang , Ali Jadbabaie

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

Inference in current domains of application are often complex and require us to integrate the expertise of a variety of disparate panels of experts and models coherently. In this paper we develop a formal statistical methodology to guide…

Methodology · Statistics 2018-07-30 Manuele Leonelli , Martine J. Barons , Jim Q. Smith

Models of social learning feature either binary signals or abstract signal structures often deprived of micro-foundations. Both models are limited when analyzing interim results or performing empirical analysis. We present a method of…

Theoretical Economics · Economics 2020-02-26 Amir Ban , Moran Koren

Network interference amounts to the treatment status of one unit affecting the potential outcome of other units in the population. Testing for spillover effects in this setting makes the null hypothesis non-sharp. An interesting approach to…

Methodology · Statistics 2025-09-24 Supriya Tiwari , Pallavi Basu

Recent studies highlight the importance of persistently exciting condition in single signal sequence for model identification and data-driven control methodologies. However, maintaining prolonged excitation in control signals introduces…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Ao Cao , Fuyong Wang

Most of the conventional models for opinion dynamics mainly account for a fully local influence, where myopic agents decide their actions after they interact with other agents that are adjacent to them. For example, in the case of social…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael G. Rabbat

Our preferences depend on the circumstances in which we reveal them. We will introduce a dependency which allows us to illustrate the relation between the possibility of winning of particular candidates in a quantum election and the type of…

Quantum Physics · Physics 2015-05-27 Marcin Makowski , Edward W. Piotrowski

When multiple agents learn in a decentralized manner, the environment appears non-stationary from the perspective of an individual agent due to the exploration and learning of the other agents. Recently proposed deep multi-agent…

Machine Learning · Computer Science 2020-06-16 Xueguang Lyu , Christopher Amato

In this paper, we develop a qualitative theory of influence diagrams that can be used to model and solve sequential decision making tasks when only qualitative (or imprecise) information is available. Our approach is based on an…

Artificial Intelligence · Computer Science 2012-02-20 Radu Marinescu , Nic Wilson

The global inducing point variational approximation for BNNs is based on using a set of inducing inputs to construct a series of conditional distributions that accurately approximate the conditionals of the true posterior distribution. Our…

Machine Learning · Statistics 2023-10-25 Matthew Ashman , Tommy Rochussen , Adrian Weller

Accounts of human language processing have long appealed to implicit ``situation models'' that enrich comprehension with relevant but unstated world knowledge. Here, we apply causal intervention techniques to recent transformer models to…

Computation and Language · Computer Science 2023-06-08 Takateru Yamakoshi , James L. McClelland , Adele E. Goldberg , Robert D. Hawkins

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

In nature, active inference agents must learn how observations of the world represent the state of the agent. In engineering, the physics behind sensors is often known reasonably accurately and measurement functions can be incorporated into…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Wouter M. Kouw

Network-topology inference from (vertex) signal observations is a prominent problem across data-science and engineering disciplines. Most existing schemes assume that observations from all nodes are available, but in many practical…

Methodology · Statistics 2021-11-11 Andrei Buciulea , Samuel Rey , Antonio G. Marques

We study the diffusion of influence in random multiplex networks where links can be of $r$ different types, and for a given content (e.g., rumor, product, political view), each link type is associated with a content dependent parameter…

Physics and Society · Physics 2012-09-11 Osman Yagan , Virgil Gligor

We frame entanglement detection as a problem of random variable inference to introduce a quantitative method to measure and understand whether entanglement witnesses lead to an efficient procedure for that task. Hence we quantify how many…

Quantum Physics · Physics 2023-08-16 Paulo J. Cavalcanti , Giovanni Scala , Antonio Mandarino , Cosmo Lupo

Shannon's information entropy measures of the uncertainty of an event's outcome. If learning about a system reflects a decrease in uncertainty, then a plausible intuition is that learning should be accompanied by a decrease in the entropy…

Robotics · Computer Science 2015-02-20 Paul E. Smaldino
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