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Complex systems typically have many different parts and facets, with different characteristics. In a multi-paradigm approach to modeling, formalisms with different natures are used in combination to describe complementary parts and aspects…

Logic in Computer Science · Computer Science 2013-08-14 Marcello M. Bersani , Carlo A. Furia , Matteo Pradella , Matteo Rossi

In this paper we develop further the multi-parameter model of random simplicial complexes. Firstly, we give an intrinsic characterisation of the multi-parameter probability measure. Secondly, we show that in multi-parameter random…

Algebraic Topology · Mathematics 2015-03-24 A. Costa , M. Farber

We argue that parameterized complexity is a useful tool with which to study global constraints. In particular, we show that many global constraints which are intractable to propagate completely have natural parameters which make them…

Artificial Intelligence · Computer Science 2009-03-04 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

Quantifying the complexity of systems consisting of many interacting parts has been an important challenge in the field of complex systems in both abstract and applied contexts. One approach, the complexity profile, is a measure of the…

Pattern Formation and Solitons · Physics 2013-06-03 Yavni Bar-Yam , Dion Harmon , Yaneer Bar-Yam

Almost all optimization algorithms have algorithm-dependent parameters, and the setting of such parameter values can largely influence the behaviour of the algorithm under consideration. Thus, proper parameter tuning should be carried out…

Artificial Intelligence · Computer Science 2023-08-31 Geethu Joy , Christian Huyck , Xin-She Yang

In this paper we study possibilities of using hierarchical reasoning, symbol elimination and model generation for the verification of parametric systems, where the parameters can be constants or functions. Our goal is to automatically…

Logic in Computer Science · Computer Science 2019-10-14 Viorica Sofronie-Stokkermans

Complex decision-making is a prominent aspect of Requirements Engineering. This work presents the Bayesian network Requisites that predicts whether the requirements specification documents have to be revised. We show how to validate…

Software Engineering · Computer Science 2024-01-24 J. del Sagrado , I. M. del Águila

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

Disordered Systems and Neural Networks · Physics 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

Inspired by distributed applications that use consensus or other agreement protocols for global coordination, we define a new computational model for parameterized systems that is based on a general global synchronization primitive and…

Formal Languages and Automata Theory · Computer Science 2021-05-07 Nouraldin Jaber , Swen Jacobs , Christopher Wagner , Milind Kulkarni , Roopsha Samanta

A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.

Classical Analysis and ODEs · Mathematics 2013-06-12 Stephen Semmes

One of the most challenging tasks in specification engineering for a multi-agent robotic system is to formally specify and architect the system, especially as a multi-agent robotic system is concurrent having concurrent processing, and…

Software Engineering · Computer Science 2015-01-22 Nadeem Akhtar , Yann Le Guyadec , Flavio Oquendo

We construct a model of type theory enjoying parametricity from an arbitrary one. A type in the new model is a semi-cubical type in the old one, illustrating the correspondence between parametricity and cubes. Our construction works not…

Logic · Mathematics 2022-01-26 Hugo Moeneclaey

The interest in a system often resides in the interplay among different parameters governing its evolution. It is thus often required to access many of them at once for a complete description. Assessing how quantum enhancement in such…

Quantum Physics · Physics 2020-06-22 Francesco Albarelli , Marco Barbieri , Marco G. Genoni , Ilaria Gianani

We investigate completeness and parametricity for a general class of realizability semantics for System F defined in terms of closure operators over sets of $\lambda$-terms. This class includes most semantics used for normalization…

Logic in Computer Science · Computer Science 2023-06-22 Paolo Pistone

This note presents a summary and review of various conditions and characterizations for matrix stability (in particular diagonal matrix stability) and matrix stabilizability.

Systems and Control · Electrical Eng. & Systems 2023-01-04 Zhiyong Sun

Parametrized motion planning algorithms have high degree of flexibility and universality, they can work under a variety of external conditions, which are viewed as parameters and form part of the input of the algorithm. In this paper we…

Algebraic Topology · Mathematics 2022-05-13 Michael Farber , Shmuel Weinberger

In this paper, we will discuss several radii problems related to Wright Function involving four parameters.

Complex Variables · Mathematics 2026-05-26 Ayush Kumar , Naveen Kumar Jain

Many loads have flexibility in demand that can be used to provide ancillary services to power grids. A large body of literature exists on designing algorithms to coordinate actions of many loads to provide such a service. The topic of…

Optimization and Control · Mathematics 2024-03-13 Prabir Barooah

Asking which sets are fixed-parameter tractable for a given parameterization constitutes much of the current research in parameterized complexity theory. This approach faces some of the core difficulties in complexity theory. By focussing…

Logic in Computer Science · Computer Science 2018-01-17 Jouke Witteveen , Leen Torenvliet

Multilayer networks represent systems in which there are several topological levels each one representing one kind of interaction or interdependency between the systems' elements. These networks have attracted a lot of attention recently…

Physics and Society · Physics 2015-04-22 Emanuele Cozzo , Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno