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The problem of state estimation for unobservable distribution systems is considered. A deep learning approach to Bayesian state estimation is proposed for real-time applications. The proposed technique consists of distribution learning of…

Machine Learning · Statistics 2019-02-26 Kursat Rasim Mestav , Jaime Luengo-Rozas , Lang Tong

We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

Optimization and Control · Mathematics 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

Adaptation to dynamic conditions requires a certain degree of diversity. If all agents take the best current action, learning that the underlying state has changed and behavior should adapt will be slower. Diversity is harder to maintain…

Social and Information Networks · Computer Science 2023-05-02 Daron Acemoglu , Asuman Ozdaglar , Sarath Pattathil

For three decades statistical mechanics has been providing a framework to analyse neural networks. However, the theoretically tractable models, e.g., perceptrons, random features models and kernel machines, or multi-index models and…

Machine Learning · Statistics 2025-06-02 Jean Barbier , Francesco Camilli , Minh-Toan Nguyen , Mauro Pastore , Rudy Skerk

In several practical applications of federated learning (FL), the clients are highly heterogeneous in terms of both their data and compute resources, and therefore enforcing the same model architecture for each client is very limiting.…

Machine Learning · Computer Science 2023-06-14 Disha Makhija , Joydeep Ghosh , Nhat Ho

We consider a social learning problem, where a network of agents is interested in selecting one among a finite number of hypotheses. We focus on weakly-connected graphs where the network is partitioned into a sending part and a receiving…

Multiagent Systems · Computer Science 2019-10-31 Vincenzo Matta , Virginia Bordignon , Augusto Santos , Ali H. Sayed

The objective of this paper is to identify and analyze the response actions of a set of players embedded in sub-networks in the context of interaction and learning. We characterize strategic network formation as a static game of…

Theoretical Economics · Economics 2022-10-28 Alex Centeno

We consider a network scenario in which agents can evaluate each other according to a score graph that models some interactions. The goal is to design a distributed protocol, run by the agents, that allows them to learn their unknown state…

Systems and Control · Computer Science 2018-06-05 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

This work addresses the problem of sharing partial information within social learning strategies. In traditional social learning, agents solve a distributed multiple hypothesis testing problem by performing two operations at each instant:…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

Machine Learning is becoming more prevalent in science and engineering, but many approaches do not provide meaningful uncertainty estimates and predictions may also violate known physical knowledge. We propose a Bayesian framework to embed…

Machine Learning · Computer Science 2026-04-29 Matthew Marsh , Benoît Chachuat , Antonio del Rio Chanona

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

We study the problem of distributed cooperative learning, where a group of agents seeks to agree on a set of hypotheses that best describes a sequence of private observations. In the scenario where the set of hypotheses is large, we propose…

Machine Learning · Computer Science 2021-09-22 Mohammad Taha Toghani , César A. Uribe

Contagion processes are strongly linked to the network structures on which they propagate, and learning these structures is essential for understanding and intervention on complex network processes such as epidemics and (mis)information…

Social and Information Networks · Computer Science 2019-08-12 Caitlin Gray , Lewis Mitchell , Matthew Roughan

Social learning is defined as the ability of a population to aggregate information, a process which must crucially depend on the mechanisms of social interaction. Consumers choosing which product to buy, or voters deciding which option to…

Physics and Society · Physics 2011-07-12 J. C. González-Avella , V. M. Eguíluz , M. Marsili , F. Vega-Redondo , M. San Miguel

Strategies for sustaining cooperation and preventing exploitation by selfish agents in repeated games have mostly been restricted to Markovian strategies where the response of an agent depends on the actions in the previous round. Such…

Populations and Evolution · Quantitative Biology 2023-10-30 Arunava Patra , Supratim Sengupta , Ayan Paul , Sagar Chakraborty

The Bayesian persuasion paradigm of strategic communication models interaction between a privately-informed agent, called the sender, and an ignorant but rational agent, called the receiver. The goal is typically to design a (near-)optimal…

Computer Science and Game Theory · Computer Science 2021-06-21 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

In social learning, a network of agents assigns probability scores (beliefs) to some hypotheses of interest, which rule the generation of local streaming data observed by each agent. Belief formation takes place by means of an iterative…

Machine Learning · Computer Science 2025-04-25 Marco Carpentiero , Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

This paper presents a social learning model where the network structure is endogenously determined by signal precision and dimension choices. Agents not only choose the precision of their signals and what dimension of the state to learn…

Theoretical Economics · Economics 2025-12-02 Nikhil Kumar

We study computational questions in a game-theoretic model that, in particular, aims to capture advertising/persuasion applications such as viral marketing. Specifically, we consider a multi-agent Bayesian persuasion model where an informed…

Computer Science and Game Theory · Computer Science 2016-03-07 Yakov Babichenko , Siddharth Barman

This work is a technical approach to modeling false information nature, design, belief impact and containment in multi-agent networks. We present a Bayesian mathematical model for source information and viewer's belief, and how the former…

Social and Information Networks · Computer Science 2018-04-06 Amin Khajehnejad , Shima Hajimirza