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Many real-world networks represent dynamic systems with interactions that change over time, often in uncoordinated ways and at irregular intervals. For example, university students connect in intermittent groups that repeatedly form and…

Physics and Society · Physics 2018-06-27 Ulf Aslak , Martin Rosvall , Sune Lehmann

Understanding the dynamical behavior of complex systems is of exceptional relevance in everyday life, from biology to economy. In order to describe the dynamical organization of complex systems, existing methods require the knowledge of the…

Adaptation and Self-Organizing Systems · Physics 2017-03-07 Marco Fiorucci

Traditional model-based diagnosis relies on constructing explicit system models, a process that can be laborious and expertise-demanding. In this paper, we propose a novel framework that combines concepts of model-based diagnosis with deep…

Artificial Intelligence · Computer Science 2023-10-11 Jan Lukas Augustin , Oliver Niggemann

Owing to the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these systems, particularly in a temporal context. Recent advancements…

Probability · Mathematics 2025-10-29 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

We use symbolic dynamics to study discrete-time dynamical systems with multiple time delays. We exploit the concept of avoiding sets, which arise from specific non-generating partitions of the phase space and restrict the occurrence of…

Chaotic Dynamics · Physics 2010-12-21 Fatihcan M. Atay , Sarika Jalan , Jürgen Jost

In this paper we consider a network scenario in which agents can evaluate each other according to a score graph that models some physical or social interaction. The goal is to design a distributed protocol, run by the agents, allowing them…

Optimization and Control · Mathematics 2017-06-14 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

This paper addresses the limitations of multi-node perception and delayed scheduling response in distributed systems by proposing a GNN-based multi-node collaborative perception mechanism. The system is modeled as a graph structure.…

Machine Learning · Computer Science 2025-05-23 Wenxuan Zhu , Qiyuan Wu , Tengda Tang , Renzi Meng , Sheng Chai , Xuehui Quan

Active systems, which are driven out of equilibrium by local non-conservative forces, can adopt unique behaviors and configurations. An important challenge in the design of novel materials which utilize such properties is to precisely…

Soft Condensed Matter · Physics 2022-08-09 Gregory Rassolov , Laura Tociu , Étienne Fodor , Suriyanarayanan Vaikuntanathan

We consider systems that are well modelled as a networks that evolve in time, which we call {\it Moving Neighborhood Networks}. These models are relevant in studying cooperative behavior of swarms and other phenomena where emergent…

Chaotic Dynamics · Physics 2007-05-23 Joseph D. Skufca , Erik M. Bollt

Learning the structure--dynamics correlation in disordered systems is a long-standing problem. Here, we use unsupervised machine learning employing graph neural networks (GNN) to investigate the local structures in disordered systems. We…

Disordered Systems and Neural Networks · Physics 2022-06-28 Vaibhav Bihani , Sahil Manchanda , Sayan Ranu , N. M. Anoop Krishnan

In this paper we present a deep learning method to predict the temporal evolution of dissipative dynamic systems. We propose using both geometric and thermodynamic inductive biases to improve accuracy and generalization of the resulting…

Machine Learning · Computer Science 2022-06-07 Quercus Hernández , Alberto Badías , Francisco Chinesta , Elías Cueto

Graph models are widely used to study diffusion processes in contact networks. Recent data-driven research has highlighted the significance of indirect links, where interactions are possible when two nodes visit the same place at different…

Social and Information Networks · Computer Science 2019-11-12 Md Shahzamal , Raja Jurdak , Bernard Mans , Frank De Hoog , Dean Paini

We use machine learning tools to model the line interaction of failure cascading in power grid networks. We first collect data sets of simulated trajectories of possible consecutive line failure following an initial random failure and…

Machine Learning · Computer Science 2022-07-07 Abdorasoul Ghasemi , Holger Kantz

This study presents a method, along with its algorithmic and computational framework implementation, and performance verification for dynamical system identification. The approach incorporates insights from phase space structures, such as…

Imitation is a basic updating mechanism for strategy evolution in structured populations, determining how individuals sample social information and translate it into behavioral changes. Higher-order networks, such as hypergraphs, generalize…

Physics and Society · Physics 2026-02-11 Bingxin Lin , Lei Zhou , Hao Fang

We investigate how the response of coupled dynamical systems is modified due to a structural alteration of the interaction. The majority of the literature focuses on additive perturbations and symmetrical interaction networks. Here, we…

Disordered Systems and Neural Networks · Physics 2026-01-27 Melvyn Tyloo

This work studies the problem of learning under both large datasets and large-dimensional feature space scenarios. The feature information is assumed to be spread across agents in a network, where each agent observes some of the features.…

Multiagent Systems · Computer Science 2020-05-26 Bicheng Ying , Kun Yuan , Ali H. Sayed

Traditional works on community detection from observations of information cascade assume that a single adjacency matrix parametrizes all the observed cascades. However, in reality the connection structure usually does not stay the same…

Machine Learning · Statistics 2019-04-11 Ming Yu , Varun Gupta , Mladen Kolar

Network representation learning has exploded recently. However, existing studies usually reconstruct networks as sequences or matrices, which may cause information bias or sparsity problem during model training. Inspired by a cognitive…

Machine Learning · Computer Science 2019-10-01 Jie Bai , Linjing Li , Daniel Zeng

Various natural and engineered systems, from urban traffic flow to the human brain, can be described by large-scale networked dynamical systems. These systems are similar in being comprised of a large number of microscopic subsystems, each…

Dynamical Systems · Mathematics 2026-01-06 Sabbir Ahmed , Hafiz Fareed Ahmed , Erfan Nozari