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The purpose of this foundational paper is to introduce various notions and constructions in order to develop the homotopy theory for differential graded operads over any ring. The main new idea is to consider the action of the symmetric…

Algebraic Topology · Mathematics 2021-08-25 Malte Dehling , Bruno Vallette

This paper introduces a novel bio-mimetic approach for distributed control of robotic swarms, inspired by the collective behaviors of swarms in nature such as schools of fish and flocks of birds. The agents are assumed to have limited…

Multiagent Systems · Computer Science 2024-05-24 Yigal Koifman , Ariel Barel , Alfred M. Bruckstein

In classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebras. The structures of these algebras depend on the parity of…

Complex Variables · Mathematics 2007-05-23 Guy Laville , Eric Lehman

We describe Elevator, a unifying polymorphic foundation for metaprogramming with memory management based on adjoint modalities. In this setting, we distinguish between multiple memory regions using modes where each mode has a specific set…

Programming Languages · Computer Science 2024-11-04 Junyoung Jang , Brigitte Pientka

This paper introduces a model of multi-unit organizations with either static structures, i.e., they are designed top-down following classical approaches to organizational design, or dynamic structures, i.e., the structures emerge over time…

General Economics · Economics 2022-09-12 Stephan Leitner

In a recent paper by Hellerstein [15], a tight relationship was conjectured between the number of strata of a Datalog${}^\neg$ program and the number of "coordination stages" required for its distributed computation. Indeed, Ameloot et al.…

Databases · Computer Science 2013-12-11 Daniel Zinn , Todd J Green , Bertram Ludäscher

Leveraging large language models (LLMs), autonomous agents have significantly improved, gaining the ability to handle a variety of tasks. In open-ended settings, optimizing collaboration for efficiency and effectiveness demands flexible…

Artificial Intelligence · Computer Science 2024-09-17 Jiaqi Chen , Yuxian Jiang , Jiachen Lu , Li Zhang

The purpose of this paper is to study the derived category of simplicial multicategories with arbitrary sets of objects (also known as, colored operads in simplicial sets). Our main result is a derived Morita theory for operads-where we…

Algebraic Topology · Mathematics 2011-11-17 Marcy Robertson

Motivated by its link with functor homology, we study the prop freely generated by the operadic suspension of the operad Com. We exhibit a particular family of generators, for which the composition and the symmetric group actions admit…

Algebraic Topology · Mathematics 2024-02-21 Coline Emprin , Dana Hunter , Muriel Livernet , Christine Vespa , Inna Zakharevich

The ability to model interactions among agents is crucial for effective coordination and understanding their cooperation mechanisms in multi-agent reinforcement learning (MARL). However, previous efforts to model high-order interactions…

Multiagent Systems · Computer Science 2025-10-24 Qinyu Xu , Yuanyang Zhu , Xuefei Wu , Chunlin Chen

We present quantum observable Markov decision processes (QOMDPs), the quantum analogues of partially observable Markov decision processes (POMDPs). In a QOMDP, an agent's state is represented as a quantum state and the agent can choose a…

Artificial Intelligence · Computer Science 2015-06-19 Jennifer Barry , Daniel T. Barry , Scott Aaronson

We present a flexible data-driven method for dynamical system analysis that does not require explicit model discovery. The method is rooted in well-established techniques for approximating the Koopman operator from data and is implemented…

Dynamical Systems · Mathematics 2023-11-01 Jason J. Bramburger , Giovanni Fantuzzi

The state-of-the-art multi-agent reinforcement learning (MARL) methods have provided promising solutions to a variety of complex problems. Yet, these methods all assume that agents perform synchronized primitive-action executions so that…

Artificial Intelligence · Computer Science 2022-10-12 Yuchen Xiao

In the present paper syntax and semantics will be presented for an expansion of ordinary n-agent QML with constant domain, non-rigid constants, rigid variables and including both functions, relations, and equality. Further, the number of…

Logic in Computer Science · Computer Science 2018-11-06 Andreas Achen

For a directed polytope, we construct a colored operad whose Poincare-Hilbert series encodes certain operations on the cellular complex of the polytope. We conjecture that for a class of short polytopes the constructed operads are Koszul…

K-Theory and Homology · Mathematics 2021-12-30 Sergey Arkhipov , Daria Poliakova

The analysis of observable phenomena (for instance, in biology or physics) allows the detection of dynamical behaviors and, conversely, starting from a desired behavior allows the design of objects exhibiting that behavior in engineering.…

Discrete Mathematics · Computer Science 2026-04-10 Antonio E. Porreca , Marius Rolland

The main ideas developed in this habilitation thesis consist in endowing combinatorial objects (words, permutations, trees, Young tableaux, etc.) with operations in order to construct algebraic structures. This process allows, by studying…

Combinatorics · Mathematics 2017-12-12 Samuele Giraudo

The question how social norms can emerge from microscopic interactions between individuals is a key problem in social sciences to explain collective behavior. In this paper we propose an agent-based model to show that randomly distributed…

Adaptation and Self-Organizing Systems · Physics 2008-09-07 Thomas Fent , Patrick Groeber , Frank Schweitzer

We show that morphisms from n A_infinity-algebras to a single one are maps over an operad module with n+1 commuting actions of the operad A_infinity, whose algebras are conventional A_infinity-algebras. Similar statement holds for homotopy…

Category Theory · Mathematics 2015-11-30 Volodymyr Lyubashenko

Motivated by a recent conjecture concerning the expressiveness of declarative networking, we propose a formal computation model for "eventually consistent" distributed querying, based on relational transducers. A tight link has been…

Databases · Computer Science 2011-06-29 Tom Ameloot , Frank Neven , Jan Van den Bussche
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