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Recent advances at the intersection of control theory, neuroscience, and machine learning have revealed novel mechanisms by which dynamical systems perform computation. These advances encompass a wide range of conceptual, mathematical, and…

Machine Learning · Computer Science 2026-04-10 Arthur N. Montanari , Francesco Bullo , Dmitry Krotov , Adilson E. Motter

As AI agents evolve, the community is rapidly shifting from single Large Language Models (LLMs) to Multi-Agent Systems (MAS) to overcome cognitive bottlenecks in automated research. However, the optimal multi-agent coordination framework…

Multiagent Systems · Computer Science 2026-05-12 Yang Shen , Zhenyi Yi , Ziyi Zhao , Lijun Sun , Dongyang Li , Chin-Teng Lin , Yuhui Shi

Traditionally, physical models of associative memory assume conditions of equilibrium. Here, we consider a prototypical oscillator model of associative memory and study how active noise sources that drive the system out of equilibrium, as…

Disordered Systems and Neural Networks · Physics 2023-07-26 Matthew Du , Agnish Kumar Behera , Suriyanarayanan Vaikuntanathan

Bias exists in how we pick leaders, who we perceive as being influential, and who we interact with, not only in society, but in organizational contexts. Drawing from leadership emergence and social influence theories, we investigate…

Multiagent Systems · Computer Science 2023-04-06 Andria L. Smith , Simon Heuschkel , Ksenia Keplinger , Charley M. Wu

Recent generalizations of the Hopfield model of associative memories are able to store a number $P$ of random patterns that grows exponentially with the number $N$ of neurons, $P=\exp(\alpha N)$. Besides the huge storage capacity, another…

Disordered Systems and Neural Networks · Physics 2024-02-14 Carlo Lucibello , Marc Mézard

Cooperation between self-interested individuals is a widespread phenomenon in the natural world, but remains elusive in interactions between artificially intelligent agents. Instead, naive reinforcement learning algorithms typically…

Multiagent Systems · Computer Science 2025-01-16 John L. Zhou , Weizhe Hong , Jonathan C. Kao

Model checking of strategic abilities for agents with memory is a notoriously hard problem, and very few attempts have been made to tackle it. In this paper, we present two important steps towards this goal. First, we take the partial-order…

Multiagent Systems · Computer Science 2025-10-21 Dilian Gurov , Filip Jamroga , Wojciech Jamroga , Mateusz Kamiński , Damian Kurpiewski , Wojciech Penczek , Teofil Sidoruk

Expert human drivers perform actions relying on traffic laws and their previous experience. While traffic laws are easily embedded into an artificial brain, modeling human complex behaviors which come from past experience is a more…

Multiagent Systems · Computer Science 2019-03-05 Giulio Bacchiani , Daniele Molinari , Marco Patander

The Overfitted Brain hypothesis suggests dreams happen to allow generalization in the human brain. Here, we ask if the same is true for reinforcement learning agents as well. Given limited experience in a real environment, we use…

Machine Learning · Computer Science 2024-03-14 Giorgio Franceschelli , Mirco Musolesi

An associative memory is a framework of content-addressable memory that stores a collection of message vectors (or a dataset) over a neural network while enabling a neurally feasible mechanism to recover any message in the dataset from its…

Machine Learning · Statistics 2016-11-30 Arya Mazumdar , Ankit Singh Rawat

We introduce a nonlinear modification of the classical Hawkes process, which allows inhibitory couplings between units without restrictions. The resulting system of interacting point processes provides a useful mathematical model for…

Probability · Mathematics 2009-11-03 Stefano Cardanobile , Stefan Rotter

Many large-scale platforms and networked control systems have a centralized decision maker interacting with a massive population of agents under strict observability constraints. Motivated by such applications, we study a cooperative Markov…

Multiagent Systems · Computer Science 2026-05-12 Emile Anand , Ishani Karmarkar

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

Analysis of PDEs · Mathematics 2020-09-03 Delphine Salort , Nicolas Torres

In large-scale multi-agent systems, the large number of agents and complex game relationship cause great difficulty for policy learning. Therefore, simplifying the learning process is an important research issue. In many multi-agent…

Artificial Intelligence · Computer Science 2019-11-26 Yong Liu , Weixun Wang , Yujing Hu , Jianye Hao , Xingguo Chen , Yang Gao

We present an interacting branching model of neural network dynamics, incorporating key biological features such as inhibition with several types of inhibitory interactions. We establish a hierarchy of analytical mean-field approximations…

Disordered Systems and Neural Networks · Physics 2025-12-29 Jeremy B. Goetz , Naruepon Weerawongphrom , Rashid V. Williams-García , John M. Beggs , Gerardo Ortiz

Hopfield neural networks are a possible basis for modelling associative memory in living organisms. After summarising previous studies in the field, we take a new look at learning rules, exhibiting them as descent-type algorithms for…

Neural and Evolutionary Computing · Computer Science 2020-10-06 Pavel Tolmachev , Jonathan H. Manton

Starting with a group of reinforcement-learning agents we derive coupled replicator equations that describe the dynamics of collective learning in multiagent systems. We show that, although agents model their environment in a…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Yuzuru Sato , James P. Crutchfield

We have used agent-based modeling as our numerical method to artificially simulate a dynamic real economy where agents are rational maximizers of an objective function of Cobb-Douglas type. The economy is characterised by heterogeneous…

Theoretical Economics · Economics 2024-01-17 Subhamon Supantha , Naresh Kumar Sharma

Large language models (LLMs) based Agents are increasingly pivotal in simulating and understanding complex human systems and interactions. We propose the AI-Agent School (AAS) system, built around a self-evolving mechanism that leverages…

Artificial Intelligence · Computer Science 2025-10-14 Sheng Jin , Haoming Wang , Zhiqi Gao , Yongbo Yang , Bao Chunjia , Chengliang Wang

The thermodynamic and retrieval properties of the Ashkin-Teller neural network model storing an infinite number of patterns are examined in the replica-symmetric mean-field approximation. In particular, for linked patterns…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Bolle , P. Kozlowski
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