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Living systems exhibit complex yet organized behavior on multiple spatiotemporal scales. To investigate the nature of multiscale coordination in living systems, one needs a meaningful and systematic way to quantify the complex dynamics, a…

Adaptation and Self-Organizing Systems · Physics 2020-03-11 Mengsen Zhang , William D. Kalies , J. A. Scott Kelso , Emmanuelle Tognoli

Categorical compositional distributional semantics provide a method to derive the meaning of a sentence from the meaning of its individual words: the grammatical reduction of a sentence automatically induces a linear map for composing the…

Artificial Intelligence · Computer Science 2018-11-09 Bob Coecke , Giovanni de Felice , Dan Marsden , Alexis Toumi

Generative models have emerged as powerful tools for planning, with compositional approaches offering particular promise for modeling long-horizon task distributions by composing together local, modular generative models. This compositional…

Robotics · Computer Science 2026-01-06 Utkarsh A Mishra , David He , Yongxin Chen , Danfei Xu

The mutual influence of dynamics and structure is a central issue in complex systems. In this paper we study by simulation slow evolution of network under the feedback of a local-majority-rule opinion process. If performance-enhancing local…

Physics and Society · Physics 2009-11-13 Zhen Shao , Haijun Zhou

Given the advances in reactive synthesis, it is a natural next step to consider more complex multi-process systems. Distributed synthesis, however, is not yet scalable. Compositional approaches can be a game changer. Here, the challenge is…

Logic in Computer Science · Computer Science 2022-08-15 Bernd Finkbeiner , Noemi Passing

This article presents a general description of dynamical systems using the language of enriched functors and enriched natural transformations. This framework is essential to establish the equivalence of three descriptions of dynamics -- a…

Category Theory · Mathematics 2025-09-09 Suddhasattwa Das , Tomoharu Suda

We develop a compositional framework for formal synthesis of hybrid systems using the language of category theory. More specifically, we provide mutually compatible tools for hierarchical, sequential, and independent parallel composition.…

Category Theory · Mathematics 2020-08-12 Jared Culbertson , Paul Gustafson , Daniel E. Koditschek , Peter F. Stiller

Systems such as sensor networks and teams of autonomous robots consist of multiple autonomous entities that interact with each other in a distributed, asynchronous manner. These entities need to keep track of the state of the system as it…

Artificial Intelligence · Computer Science 2012-07-09 Avi Pfeffer , Terry Tai

Despite many recent advances, reactive synthesis is still not really a practical technique. The grand challenge is to scale from small transition systems, where synthesis performs well, to complex multi-component designs. Compositional…

Logic in Computer Science · Computer Science 2020-10-09 Bernd Finkbeiner , Noemi Passing

When modeling complex robot systems such as branched robots, whose kinematic structures are a tree, current techniques often require modeling the whole structure from scratch, even when partial models for the branches are available. This…

Robotics · Computer Science 2024-07-23 Frederico Fernandes Afonso Silva , Bruno Vilhena Adorno

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

It is common for people to access multiple social networks, for example, using phone, email, and social media. Together, the multi-layer social interactions form a "integrated social network." How can we extend well developed knowledge…

Social and Information Networks · Computer Science 2016-09-07 Kristina Lerman , Shang-Hua Teng , Xiaoran Yan

By adequate employing of complex event processing (CEP), valuable information can be extracted from the underlying complex system and used in controlling and decision situations. An example application area is management of IT systems for…

Software Engineering · Computer Science 2012-08-02 Istvan David

This paper presents a modular approach to motion planning with provable stability guarantees for robots that move through changing environments via periodic locomotion behaviors. We focus on dynamic walkers as a paradigm for such systems,…

Robotics · Computer Science 2023-08-15 Kunal Sanjay Narkhede , Mohamad Shafiee Motahar , Sushant Veer , Ioannis Poulakakis

Current autonomic computing systems are ad hoc solutions that are designed and implemented from the scratch. When designing software, in most cases two or more patterns are to be composed to solve a bigger problem. A composite design…

Software Engineering · Computer Science 2012-09-11 Vishnuvardhan Mannava , T. Ramesh

New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into three parts in such a…

Numerical Analysis · Mathematics 2020-06-12 Fernando Casas , Alejandro Escorihuela-Tomàs

This dissertation builds a compositional cyber-physical systems theory to develop concrete semantics relating the above diverse views necessary for safety and security assurance. In this sense, composition can take two forms. The first is…

Logic in Computer Science · Computer Science 2021-09-13 Georgios Bakirtzis

We propose the concept of a system algebra with a parallel composition operation and an interface connection operation, and formalize composition-order invariance, which postulates that the order of composing and connecting systems is…

Other Computer Science · Computer Science 2018-09-25 Christian Matt , Ueli Maurer , Christopher Portmann , Renato Renner , Björn Tackmann

Despite recent developments in management theory, maintaining a manufacturing schedule remains difficult because of production delays and fluctuations in demand and supply of materials. The response of manufacturing systems to such…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Daichi Yanagisawa , Katsuhiro Nishinari

This chapter explores dynamical structural equation models (DSEMs) and their nonlinear generalizations into sheaves of dynamical systems. It demonstrates these two disciplines on part of the food web in the Bering Sea. The translation from…

Algebraic Topology · Mathematics 2025-11-07 Michael Robinson , Michael L. Szulczewski , James T. Thorson
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