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Spin models of neural networks and genetic networks are considered elegant as they are accessible to statistical mechanics tools for spin glasses and magnetic systems. However, the conventional choice of variables in spin systems may cause…

Disordered Systems and Neural Networks · Physics 2012-12-10 Matthias Rybarsch , Stefan Bornholdt

In this work, we study a class of hybrid dynamical systems called hybrid gene regulatory networks (HGRNs) which was proposed to model gene regulatory networks. In HGRNs, there exist well-behaved trajectories that reach a fixed point or…

Molecular Networks · Quantitative Biology 2024-04-26 Adrian Wurm , Honglu Sun

We study a simple model of how social behaviors, like trends and opinions, propagate in networks where individuals adopt the trend when they are informed by threshold $T$ neighbors who are adopters. Using a dynamic message-passing…

Physics and Society · Physics 2015-06-18 Munik Shrestha , Cristopher Moore

In Cognitive Radio Networks (CRNs), the secondary users (SUs) are allowed to access the licensed channels opportunistically. A fundamental and essential operation for SUs is to establish communication through choosing a common channel at…

Networking and Internet Architecture · Computer Science 2014-04-15 Haisheng Tan , Jiajun Yu , Hongyu Liang , Tiancheng Lou , Francis C. M. Lau

Cognitive relaying has been introduced for opportunistic spectrum access systems by which a secondary node forwards primary packets whenever the primary link faces an outage condition. For spectrum sharing systems, cognitive relaying is…

Networking and Internet Architecture · Computer Science 2013-04-02 F. Foukalas , T. Khattab , H. V. Poor

In this paper we study disease spread over a randomly switched network, which is modeled by a stochastic switched differential equation based on the so called $N$-intertwined model for disease spread over static networks. Assuming that all…

Systems and Control · Computer Science 2016-11-04 Masaki Ogura , Victor M. Preciado

Opportunistic analysis has traditionally relied on independence assumptions that break down in many interesting and useful network topologies. This paper develops techniques that expand opportunistic analysis to a broader class of networks,…

Information Theory · Computer Science 2015-03-19 Mohamed Abouelseoud , Aria Nosratinia

The optimal coordination rates are determined in three primary settings of multi-user quantum networks, thus characterizing the minimal resources required in order to simulate a joint quantum state among multiple parties. We study the…

Quantum Physics · Physics 2025-02-28 Hosen Nator , Uzi Pereg

We present longitudinal analysis of the evolution of inter-organizational disaster coordination networks during natural disasters. We suggest that social networks are a useful paradigm for exploring this complex phenomenon from both…

Social and Information Networks · Computer Science 2015-03-31 Alireza Abbasi , Liaquat Hossain , Naim Kapucu

We study an interacting particle system whose dynamics depends on an interacting random environment. As the number of particles grows large, the transition rate of the particles slows down (perhaps because they share a common resource of…

Probability · Mathematics 2009-02-16 Charles Bordenave , David McDonald , Alexandre Proutiere

We implement the Ising model on a structural connectivity matrix describing the brain at a coarse scale. Tuning the model temperature to its critical value, i.e. at the susceptibility peak, we find a maximal amount of total information…

Neurons and Cognition · Quantitative Biology 2013-09-03 Daniele Marinazzo , Mario Pellicoro , Guorong Wu , Leonardo Angelini , Jesus M Cortes , Sebastiano Stramaglia

Our ability to manipulate the behavior of complex networks depends on the design of efficient control algorithms and, critically, on the availability of an accurate and tractable model of the network dynamics. While the design of control…

Systems and Control · Electrical Eng. & Systems 2021-04-28 Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

We study diffusion of information packets on several classes of structured networks. Packets diffuse from a randomly chosen node to a specified destination in the network. As local transport rules we consider random diffusion and an…

Statistical Mechanics · Physics 2015-06-24 Bosiljka Tadic , Stefan Thurner

In temporal networks, both the topology of the underlying network and the timings of interaction events can be crucial in determining how some dynamic process mediated by the network unfolds. We have explored the limiting case of the speed…

Physics and Society · Physics 2012-05-28 Mikko Kivelä , Raj Kumar Pan , Kimmo Kaski , János Kertész , Jari Saramäki , Márton Karsai

This paper introduces a novel direct approach to system identification of dynamic networks with missing data based on maximum likelihood estimation. Dynamic networks generally present a singular probability density function, which poses a…

Systems and Control · Electrical Eng. & Systems 2024-07-31 João Victor Galvão da Mata , Anders Hansson , Martin S. Andersen

Collective systems that self-organise to maximise the group's ability to collect and distribute information can be successful in environments with high spatial and temporal variation. Such organisations are abundant in nature, as sharing…

Populations and Evolution · Quantitative Biology 2025-10-28 R. S. Walker , G. Ramos-Fernandez , D. Boyer , S. E. Smith-Aguilar , X. O'Neill , M. J. Silk

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

Molecular Networks · Quantitative Biology 2021-09-01 Masayo Inoue , Kunihiko Kaneko

As individuals communicate, their exchanges form a dynamic network. We demonstrate, using time series analysis of communication in three online settings, that network structure alone can be highly revealing of the diversity and novelty of…

Social and Information Networks · Computer Science 2012-05-23 Chun-Yuen Teng , Liuling Gong , Avishay Livne , Celso Brunetti , Lada A. Adamic

Feature selection is one of the most fundamental problems in machine learning. An extensive body of work on information-theoretic feature selection exists which is based on maximizing mutual information between subsets of features and class…

Machine Learning · Statistics 2016-06-10 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

We apply statistical physics to study the task of resource allocation in random sparse networks with limited bandwidths for the transportation of resources along the links. Useful algorithms are obtained from recursive relations.…

Physics and Society · Physics 2009-11-13 C. H. Yeung , K. Y. Michael Wong
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