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We study a family of determinantal ideals whose decompositions encode the structural zeros in conditional independence models with hidden variables. We provide explicit decompositions of these ideals and, for certain subclasses of models,…

Commutative Algebra · Mathematics 2025-12-09 Yulia Alexandr , Kristen Dawson , Hannah Friedman , Fatemeh Mohammadi , Pardis Semnani , Teresa Yu

Many signals in Nature, technology and experiment have a multi-component structure. By spectral decomposition and projection on the eigenvectors of a family of unitary operators, a robust method is developed to decompose a signals in its…

Plasma Physics · Physics 2015-05-13 Francoise Briolle , Ricardo Lima , Vladimir I. Man'ko , R. Vilela Mendes

Even with the most advanced computational capabilities, high-fidelity (e.g., large-eddy) simulations of large-scale rocket engines remain far out of reach. In the current work, we develop and establish a component-based reduced-order…

Fluid Dynamics · Physics 2026-04-20 Brody Gatza , Cheng Huang

Cyber-physical systems are critical infrastructures that are crucial both to the reliable delivery of resources such as energy, and to the stable functioning of automatic and control architectures. These systems are composed of…

Systems and Control · Computer Science 2016-07-04 Andrey Y. Lokhov , Nathan Lemons , Thomas C. McAndrew , Aric Hagberg , Scott Backhaus

Modelling musical structure is vital yet challenging for artificial intelligence systems that generate symbolic music compositions. This literature review dissects the evolution of techniques for incorporating coherent structure, from…

Sound · Computer Science 2024-03-14 Keshav Bhandari , Simon Colton

Multivariate information decompositions hold promise to yield insight into complex systems, and stand out for their ability to identify synergistic phenomena. However, the adoption of these approaches has been hindered by there being…

Information Theory · Computer Science 2020-12-02 Fernando Rosas , Pedro Mediano , Borzoo Rassouli , Adam Barrett

Abstract. We present a framework for the kinematics of a material body undergoing anelastic deformation. For such processes, the material structure of the body, as reflected by the geometric structure given to the set of body points,…

Mathematical Physics · Physics 2023-01-23 Vladimir Goldshtein , Paolo Maria Mariano , Domenico Mucci , Reuven Segev

We are entering a new era in which software systems are becoming more and more complex and larger. So, the composition of such systems is becoming infeasible by manual means. To address this challenge, self-organising software models…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Damian Arellanes

A generalized gamification framework is introduced as a form of smart infrastructure with potential to improve sustainability and energy efficiency by leveraging humans-in-the-loop strategy. The proposed framework enables a Human-Centric…

Composing systems is a fundamental concept in modern control systems, yet it remains challenging to formally analyze how controllers designed for individual subsystems can differ from controllers designed for the composition of those…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Tyler Hanks , James Fairbanks , Matthew Hale

We provide a compositional coalgebraic semantics for strategic games. In our framework, like in the semantics of functional programming languages, coalgebras represent the observable behaviour of systems derived from the behaviour of the…

Computer Science and Game Theory · Computer Science 2017-12-25 Achim Blumensath , Viktor Winschel

We describe a basic correspondence between linear algebraic structures within vector embeddings in artificial neural networks and conditional independence constraints on the probability distributions modeled by these networks. Our framework…

Machine Learning · Computer Science 2024-07-15 Matthew Trager , Alessandro Achille , Pramuditha Perera , Luca Zancato , Stefano Soatto

Compositionality supports the manipulation of large systems by working on their components. For model-based testing, this means that large systems can be tested by modelling and testing their components: passing tests for all components…

Software Engineering · Computer Science 2025-08-01 Gijs van Cuyck , Lars van Arragon , Jan Tretmans

We consider the decomposition of bounded linear operators on Hilbert spaces in terms of functions forming frames. Similar to the singular-value decomposition, the resulting frame decompositions encode information on the structure and…

Numerical Analysis · Mathematics 2021-05-26 Simon Hubmer , Ronny Ramlau

We discuss a formal framework for using algebraic structures to model a meta-language that can write, compose, and provide interoperability between abstractions of DSLs. The purpose of this formal framework is to provide a verification of…

Category Theory · Mathematics 2023-03-17 Zachary Flores , Angelo Taranto , Eric Bond

Despite the significant strides made by generative AI in just a few short years, its future progress is constrained by the challenge of building modular and robust systems. This capability has been a cornerstone of past technological…

We introduce a term algebra as a new formal specification language for the coordinating architectures of distributed systems consisting of a finite yet unbounded number of components. The language allows to describe infinite sets of systems…

Formal Languages and Automata Theory · Computer Science 2020-10-15 Marius Bozga , Radu Iosif

Dynamic Optimization Problems (DOPs) are characterized by changes in the fitness landscape that can occur at any time and are common in real world applications. The main issues to be considered include detecting the change in the fitness…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Alexandre Mascarenhas , Yuri Lavinas , Claus Aranha

We apply a compositional formal modeling and verification method to an autonomous aircraft taxi system. We provide insights into the modeling approach and we identify several research areas where further development is needed. Specifically,…

Systems and Control · Electrical Eng. & Systems 2023-04-27 Alessandro Pinto , Anthony Corso , Edward Schmerling

Service robots are complex, heterogeneous, software intensive systems built from components. Recent robotics research trends mainly address isolated capabilities on functional level. Non-functional properties, such as responsiveness or…

Robotics · Computer Science 2016-01-12 Alex Lotz , Arne Hamann , Ingo Lütkebohle , Dennis Stampfer , Matthias Lutz , Christian Schlegel