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We introduce a notion of compatibility between constraint encoding and compositional structure. Phrased in the language of category theory, it is given by a "composable constraint encoding". We show that every composable constraint encoding…

Category Theory · Mathematics 2021-12-14 Matt Wilson , Augustin Vanrietvelde

From the complex motions of robots to the oxygen binding of hemoglobin, the function of many mechanical systems depends on large, coordinated movements of their components. Such movements arise from a network of physical interactions in the…

Soft Condensed Matter · Physics 2019-06-21 Jason Z. Kim , Zhixin Lu , Danielle S. Bassett

The explicit relationship among perception, communication, and design is being discussed in some detail, in order to relate it to characteristic details of the modeling of the world which defines the scientific and artistic activities of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 R. E. Zimmermann , S. Ley , V. G. Budanov , V. E. Voitsekhovitch

We present FashionComposer for compositional fashion image generation. Unlike previous methods, FashionComposer is highly flexible. It takes multi-modal input (i.e., text prompt, parametric human model, garment image, and face image) and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Sihui Ji , Yiyang Wang , Xi Chen , Xiaogang Xu , Hao Luo , Hengshuang Zhao

A hallmark of human intelligence is the ability to construct self-contained chunks of knowledge and adequately reuse them in novel combinations for solving different yet structurally related problems. Learning such compositional structures…

Machine Learning · Computer Science 2021-03-18 Jorge A. Mendez , Eric Eaton

We consider sequential treatment regimes where each unit is exposed to combinations of interventions over time. When interventions are described by qualitative labels, such as "close schools for a month due to a pandemic" or "promote this…

Machine Learning · Statistics 2024-10-31 Jialin Yu , Andreas Koukorinis , Nicolò Colombo , Yuchen Zhu , Ricardo Silva

Learning compositional representation is a key aspect of object-centric learning as it enables flexible systematic generalization and supports complex visual reasoning. However, most of the existing approaches rely on auto-encoding…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Whie Jung , Jaehoon Yoo , Sungjin Ahn , Seunghoon Hong

Designers of autonomous agents, whether in physical or virtual environments, need to express nondeterminisim, failure, and parallelism in behaviors, as well as accounting for synchronous coordination between agents. Behavior Trees are a…

Programming Languages · Computer Science 2018-03-28 Chris Martens , Eric Butler , Joseph C. Osborn

Neurons are the fundamental building blocks of deep neural networks, and their interconnections allow AI to achieve unprecedented results. Motivated by the goal of understanding how neurons encode information, compositional explanations…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Biagio La Rosa , Leilani H. Gilpin

A behavior is a closed shift invariant subspace of the space of sequences with entries in a field k. We work out an explicit duality for k-modules. This duality is then used to derive properties of behaviors, and their high dimensional and…

Optimization and Control · Mathematics 2007-05-23 Amnon Yekutieli

Finite Element discretizations of coupled multi-physics partial differential equation models require the handling of composed function spaces. In this paper we discuss software concepts and abstractions to handle the composition of function…

Mathematical Software · Computer Science 2025-08-15 Christian Engwer , Carsten Gräser , Steffen Müthing , Simon Praetorius , Oliver Sander

The contribution of this paper is threefold: first, it defines a framework for modelling component-based systems, as well as a formalization of integration rules to combine their behavior. This is based on finite state machines (FSM).…

Software Engineering · Computer Science 2014-06-12 Bilal Kanso , Omar Chebaro

We introduce a concept called a collective: an interface with a protocol for aggregating contributions and distributing returns. Through such a protocol, many members may participate in a mutual endeavor. We present a variety of real-world…

Category Theory · Mathematics 2022-01-31 Nelson Niu , David I. Spivak

Automatic or assisted workflow composition is a field of intense research for applications to the world wide web or to business process modeling. Workflow composition is traditionally addressed in various ways, generally via theorem proving…

Artificial Intelligence · Computer Science 2007-05-23 Patrick Albert , Laurent Henocque , Mathias Kleiner

Modular organization characterizes many complex networks occurring in nature, including the brain. In this paper we show that modular structure may be responsible for increasing the robustness of certain dynamical states of such systems. In…

Disordered Systems and Neural Networks · Physics 2015-05-27 Neeraj Pradhan , Subinay Dasgupta , Sitabhra Sinha

What makes living systems flexible so that they can react quickly and adapt easily to changing environments? This question has not only engaged biologists for decades but is also of great interest to computer scientists and engineers who…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Sebastian Mayer , Leo Francoso Dal Piccol Sotto , Jochen Garcke

Designing component-based constraint solvers is a complex problem. Some components are required, some are optional and there are interdependencies between the components. Because of this, previous approaches to solver design and…

Artificial Intelligence · Computer Science 2011-10-31 Ian P. Gent , Chris Jefferson , Lars Kotthoff , Ian Miguel

This paper presents an approach to dynamic component composition that facilitates creating new composed components using existing ones at runtime and without any code generation. The dynamic abilities are supported by extended type notion…

Software Engineering · Computer Science 2014-09-03 Efim Grinkrug

Designing systems is typically uncertain and ambiguous at early stages. Set-based design supports alternative exploration and gradual uncertainty reduction during the early lifecycle, making it practical for complex systems design. In…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Minghui Sun , Zhaoyang Chen , Georgios Bakirtzis , Hassan Jafarzadeh , Cody Fleming

Humans leverage compositionality to efficiently learn new concepts, understanding how familiar parts can combine together to form novel objects. In contrast, popular computer vision models struggle to make the same types of inferences,…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Yanli Zhou , Reuben Feinman , Brenden M. Lake
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