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In many cases we need to represent on the same abstraction level not only system components but also processes within the system, and if for both representation different frameworks are used, the system model becomes hard to read and to…

Software Engineering · Computer Science 2015-03-12 Maria Spichkova , Heinz Schmidt

It is crucial to learn the shared structures among functional predictors, as these structures characterize how predictor components exert common effects and, more generally, how predictors are homogeneously associated with the response.…

Methodology · Statistics 2026-04-27 Shuhao Jiao , Hernando Ombao , Ian W. McKeague

A formalism for the study of highly interacting electronic systems is presented. The proposed scheme is based on two key concepts: composite operators and algebra constraints. Composite field operators, that naturally appear as a…

Strongly Correlated Electrons · Physics 2009-11-10 Ferdinando Mancini

The standard engineering approach to modelling of complex systems is highly compositional. In order to be able to understand (or to control) the behavior of a complex dynamical systems, it is often desirable, if not necessary, to view this…

Systems and Control · Computer Science 2013-07-01 Antoine Girard

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

Creativity is a complex, multi-faceted concept encompassing a variety of related aspects, abilities, properties and behaviours. If we wish to study creativity scientifically, then a tractable and well-articulated model of creativity is…

Computation and Language · Computer Science 2017-02-08 Anna Jordanous , Bill Keller

We present a general framework for modeling a wide selection of flocking scenarios under free boundary conditions. Several variants have been considered - including examples for the widely observed behavior of hierarchically interacting…

Physics and Society · Physics 2019-04-23 Yongnan Jia , Tamas Vicsek

A common approach to the provably stable design of reactive behavior, exemplified by operational space control, is to reduce the problem to the design of virtual classical mechanical systems (energy shaping). This framework is widely used,…

Robotics · Computer Science 2021-06-28 Nathan D. Ratliff , Karl Van Wyk , Mandy Xie , Anqi Li , Muhammad Asif Rana

Modal synthesis is an important area of physical modeling whose exploration in the past has been held back by a large number of control parameters, the scarcity of general-purpose design tools and the difficulty of obtaining the…

Sound · Computer Science 2007-05-23 Ilia Bisnovatyi

In contrast with classical approaches, we present the project based on considering Collective Behaviours as coherent sequences of states adopted by different single systems consisting of the same elements interacting over time in different…

Adaptation and Self-Organizing Systems · Physics 2009-10-12 Gianfranco Minati

A compositional sheaf-theoretic framework for the modeling of complex event-based systems is presented. We show that event-based systems are machines, with inputs and outputs, and that they can be composed with machines of different types,…

Robotics · Computer Science 2021-01-27 Gioele Zardini , David I. Spivak , Andrea Censi , Emilio Frazzoli

Model-based testing (MBT) promises a scalable solution to testing large systems, if a model is available. Creating these models for large systems, however, has proven to be difficult. Composing larger models from smaller ones could solve…

Software Engineering · Computer Science 2023-11-16 Gijs van Cuyck , Lars van Arragon , Jan Tretmans

The design of adaptive structures is one method to improve sustainability of buildings. Adaptive structures are able to adapt to different loading and environmental conditions or to changing requirements by either small or large shape…

Computational Engineering, Finance, and Science · Computer Science 2020-12-08 Renate Sachse , Florian Geiger , Manfred Bischoff

We present a modular framework for solving a motion planning problem among a group of robots. The proposed framework utilizes a finite set of low level motion primitives to generate motions in a gridded workspace. The constraints on…

Robotics · Computer Science 2025-10-20 Marijan Vukosavljev , Zachary Kroeze , Angela P. Schoellig , Mireille E. Broucke

In this work, we propose the concept of Construction Defining Functionality (CDF), which characterizes functions by the structural spaces they generate through iteration,recursion, and logical application. By viewing functions as generators…

Logic in Computer Science · Computer Science 2025-10-24 Yumiko Nishiyama

Humans commonly solve complex problems by decomposing them into easier subproblems and then combining the subproblem solutions. This type of compositional reasoning permits reuse of the subproblem solutions when tackling future tasks that…

Machine Learning · Computer Science 2022-07-04 Jorge A. Mendez , Harm van Seijen , Eric Eaton

We present a quantitative measure of physical complexity, based on the amount of information required to build a given physical structure through self-assembly. Our procedure can be adapted to any given geometry, and thus to any given type…

Statistical Mechanics · Physics 2010-09-02 S. E. Ahnert , I. G. Johnston , T. M. A. Fink , J. P. K. Doye , A. A. Louis

Compositionality is a key feature of process algebras which is often cited as one of their advantages as a modelling technique. It is certainly true that in biochemical systems, as in many other systems, model construction is made easier in…

Computational Engineering, Finance, and Science · Computer Science 2010-02-23 Federica Ciocchetta , Maria Luisa Guerriero , Jane Hillston

The global availability of communication services makes it possible to interconnect independently developed systems, called constituent systems, to provide new synergistic services and more efficient economic processes. The characteristics…

Software Engineering · Computer Science 2013-11-15 Hermann Kopetz

Compositional AI systems, which combine multiple artificial intelligence components together with other application components to solve a larger problem, have no known pattern of development and are often approached in a bespoke and ad hoc…