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This paper provides an algorithmic pipeline for studying the intrinsic structure of a finite discrete dynamical system (DDS) modelling an evolving phenomenon. Here, by intrinsic structure we mean, regarding the dynamics of the DDS under…

Dynamical Systems · Mathematics 2022-12-20 Alberto Dennunzio , Enrico Formenti , Luciano Margara , Sara Riva

In this paper we describe a method to identify "relevant subsets" of variables, useful to understand the organization of a dynamical system. The variables belonging to a relevant subset should have a strong integration with the other…

Molecular Networks · Quantitative Biology 2015-02-09 Marco Villani , Andrea Roli , Alessandro Filisetti , Marco Fiorucci , Irene Poli , Roberto Serra

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

Optimization and Control · Mathematics 2009-07-17 Wei Kang , Liang Xu

As the diversity of people in higher education grows, Universities are struggling to provide inclusive environments that nurture the spirit of free inquiry in the presence of these differences. At the extreme, the value of diversity is…

Physics and Society · Physics 2019-12-16 Kathryn V Johnston

The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and…

Machine Learning · Computer Science 2020-09-17 G Manjunath

We propose and study a system whose dynamics are governed by predictions of its future states. General formalism and concrete examples are presented. We find that the dynamical characteristics depend on both how to shape predictions as well…

Other Condensed Matter · Physics 2007-05-23 Toru Ohira

This article explores the design and experimentation of a neural network architecture capable of dynamically adjusting its internal structure based on the input data. The proposed model introduces a routing mechanism that allows each layer…

Machine Learning · Computer Science 2025-11-18 Dmytro Hospodarchuk

Since its establishment, propositional dynamic logic (PDL) has been a subject of intensive academic research and frequent use in the industry. We have studied the complexity of some PDL problems and in this paper, we show results for some…

Logic in Computer Science · Computer Science 2024-01-23 Mohammad Javad Hosseinpour , Farzad Didehvar

Multivariate signal processing is often based on dimensionality reduction techniques. We propose a new method, Dynamical Component Analysis (DyCA), leading to a classification of the underlying dynamics and - for a certain type of dynamics…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Bastian Seifert , Katharina Korn , Steffen Hartmann , Christian Uhl

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

We describe an abstract control-theoretic framework in which the validity of the dynamic programming principle can be established in continuous time by a verification of a small number of structural properties. As an application we treat…

Optimization and Control · Mathematics 2014-03-18 Gordan Zitkovic

The model is a particular case of causal set. This is a discrete model of spacetime in a microscopic level. In paper the most general properties of the model are investigated without any reference to a dynamics. The dynamics of the model is…

General Relativity and Quantum Cosmology · Physics 2010-09-01 Alexey L. Krugly

Digitization provides a sound and complete method to reduce the problem of verifying whether a real-time system satisfies a property under dense-time semantics to whether the same real-time system satisfies the property over discrete-time.…

Logic in Computer Science · Computer Science 2018-06-26 Janardan Misra

We introduce a framework for approximate analysis of Markov decision processes (MDP) with bounded-, unbounded-, and infinite-horizon properties. The main idea is to identify a "core" of an MDP, i.e., a subsystem where we provably remain…

Systems and Control · Electrical Eng. & Systems 2023-06-22 Jan Křetínský , Tobias Meggendorfer

Several fundamental and closely interconnected issues related to factor models are reviewed and discussed: dynamic versus static loadings, rate-strong versus rate-weak factors, the concept of weakly common component recently introduced by…

Econometrics · Economics 2025-05-06 Matteo Barigozzi , Marc Hallin

A {\it dynamic reasoning system} (DRS) is an adaptation of a conventional formal logical system that explicitly portrays reasoning as a temporal activity, with each extralogical input to the system and each inference rule application being…

Artificial Intelligence · Computer Science 2013-08-27 Daniel G. Schwartz

In this brief note we present a very simple strategy to investigate dynamical determinants for uniformly hyperbolic systems. The construction builds on the recent introduction of suitable functional spaces which allow to transform simple…

Dynamical Systems · Mathematics 2009-11-11 Carlangelo Liverani , Masato Tsujii

Accurately modeling and designing protein complex structures is a central problem in computational structural biology, with broad implications for understanding cellular function and developing therapeutics. This thesis investigates two…

Machine Learning · Computer Science 2026-05-13 Ziwei Xie

In this note we recall the importance of the notion of a finitary isomorphism in the classification problem of dynamical systems.

Dynamical Systems · Mathematics 2007-05-23 Jacek Serafin

Context: The importance of the feature modeling for the software product lines considering the modeling and management of the variability. Objective: Define a protocol to conduct a systematic mapping study to summarize and synthesize the…

Software Engineering · Computer Science 2021-03-31 Samuel Sepúlveda , Marcelo Esperguel
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