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This paper provides an overview of the applications of sheaf theory in deep learning, data science, and computer science in general. The primary text of this work serves as a friendly introduction to applied and computational sheaf theory…

Algebraic Topology · Mathematics 2025-02-24 Anton Ayzenberg , Thomas Gebhart , German Magai , Grigory Solomadin

The challenge of engineering autonomous agents capable of navigating the stochastic and adversarial nature of the physical world has historically resided at the intersection of symbolic logic and control theory. Traditional multi-agent…

Artificial Intelligence · Computer Science 2026-05-05 Manuel Hernández , Eduardo Sánchez-Soto

There is an interplay between models, specified by variables and equations, and their connections to one another. This dichotomy should be reflected in the abstract as well. Without referring to the models directly -- only that a model…

Algebraic Topology · Mathematics 2016-11-04 Michael Robinson

Modeling agent behavior is central to understanding the emergence of complex phenomena in multiagent systems. Prior work in agent modeling has largely been task-specific and driven by hand-engineering domain-specific prior knowledge. We…

Multiagent Systems · Computer Science 2018-08-02 Aditya Grover , Maruan Al-Shedivat , Jayesh K. Gupta , Yura Burda , Harrison Edwards

Agent based systems are more common than we may think. A Promise Theory perspective on cooperation, in systems of human-machine agents, offers a unified perspective on organization and functional design with semi-automated efforts, in terms…

Artificial Intelligence · Computer Science 2026-04-14 M. Burgess

In this paper, we review multi-agent collective behavior algorithms in the literature and classify them according to their underlying mathematical structure. For each mathematical technique, we identify the multi-agent coordination tasks it…

Robotics · Computer Science 2018-03-16 Federico Rossi , Saptarshi Bandyopadhyay , Michael Wolf , Marco Pavone

Multi-agent systems address issues of accessibility and scalability of artificial intelligence (AI) foundation models, which are often represented by large language models. We develop a framework - the "Society of HiveMind" (SOHM) - that…

Neural and Evolutionary Computing · Computer Science 2025-03-14 Noah Mamie , Susie Xi Rao

Evolutionary Game Theory (EGT) and Artificial Intelligence (AI) are two fields that, at first glance, might seem distinct, but they have notable connections and intersections. The former focuses on the evolution of behaviors (or strategies)…

Physics and Society · Physics 2024-03-13 Long Wang , Feng Fu , Xingru Chen

This book provides an inviting tour through sheaf theory, from the perspective of applied category theory and pitched at a less specialized audience than is typical with introductions to sheaves. The book makes it as easy as possible for…

Category Theory · Mathematics 2020-12-17 Daniel Rosiak

The goal of this paper is to provide a survey and application-focused atlas of collective behavior coordination algorithms for multi-agent systems. We survey the general family of collective behavior algorithms for multi-agent systems and…

Multiagent Systems · Computer Science 2021-03-23 Federico Rossi , Saptarshi Bandyopadhyay , Michael T. Wolf , Marco Pavone

The development of artificial intelligence systems is transitioning from creating static, task-specific models to dynamic, agent-based systems capable of performing well in a wide range of applications. We propose an Interactive Agent…

Scientific theory shift in AI agents requires more than fitting equations to data. An artificial scientific agent must detect whether an existing representational framework remains transportable into a new regime, or whether its language…

Artificial Intelligence · Computer Science 2026-05-15 David N. Olivieri , Roque J. Hernández

Attention has become a common ingredient in deep learning architectures. It adds a dynamical selection of information on top of the static selection of information supported by weights. In the same way, we can imagine a higher-order…

Artificial Intelligence · Computer Science 2023-07-17 Dianbo Liu , Samuele Bolotta , He Zhu , Yoshua Bengio , Guillaume Dumas

Research concerning organization and coordination within multi-agent systems continues to draw from a variety of architectures and methodologies. The work presented in this paper combines techniques from game theory and multi-agent systems…

Artificial Intelligence · Computer Science 2007-05-23 Derek Messie , Jae C. Oh

This report aims to survey multi-agent Q-Learning algorithms, analyze different game theory frameworks used, address each framework's applications, and report challenges and future directions. The target application for this study is…

Multiagent Systems · Computer Science 2021-05-07 Arvin Tashakori

We introduce a resource adaptive agent mechanism which supports the user in interactive theorem proving. The mechanism uses a two layered architecture of agent societies to suggest appropriate commands together with possible command…

Logic in Computer Science · Computer Science 2009-01-26 Christoph Benzmueller , Volker Sorge

This paper presents a substantially reworked examination of how advanced game-theoretic paradigms can serve as a foundation for the next-generation challenges in Artificial Intelligence (AI), forecasted to arrive in or around 2025. Our…

Multiagent Systems · Computer Science 2025-06-24 Pavel Malinovskiy

This paper examines the evolution, architecture, and practical applications of AI agents from their early, rule-based incarnations to modern sophisticated systems that integrate large language models with dedicated modules for perception,…

Artificial Intelligence · Computer Science 2025-03-18 Naveen Krishnan

The Game Theory & Multi-Agent team at DeepMind studies several aspects of multi-agent learning ranging from computing approximations to fundamental concepts in game theory to simulating social dilemmas in rich spatial environments and…

Integration of artificial intelligent (AI) agents in higher education is transforming teaching, learning and administrative processes. Although existing AI agents effectively support individual tasks, their implementation remains fragmented…

Artificial Intelligence · Computer Science 2026-05-15 Vidya K Sudarshan , Anushka Sisodia , Reshma A Ramachandra , Sia Batra , Josephine Chong Leng Leng
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