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We propose an adaptive diffusion mechanism to optimize a global cost function in a distributed manner over a network of nodes. The cost function is assumed to consist of a collection of individual components. Diffusion adaptation allows the…

Optimization and Control · Mathematics 2015-06-03 Jianshu Chen , Ali H. Sayed

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

Understanding how different networks relate to each other is key for obtaining a greater insight into complex systems. Here, we introduce an intuitive yet powerful framework to characterise the relationship between two networks comprising…

Social and Information Networks · Computer Science 2023-08-09 Andrea I. Luppi , Eckehard Olbrich , Conor Finn , Laura E. Suárez , Fernando E. Rosas , Pedro A. M. Mediano , Jürgen Jost

The propagation of signalling molecules within cellular networks is affected by network topology, but also by the spatial arrangement of cells in the networks. Understanding the collective reaction--diffusion behaviour in space of signals…

Disordered Systems and Neural Networks · Physics 2025-01-09 Adel Mehrpooya , Vivien J. Challis , Pascal R. Buenzli

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

Spiking neural network is a type of artificial neural network in which neurons communicate between each other with spikes. Spikes are identical Boolean events characterized by the time of their arrival. A spiking neuron has internal…

Neural and Evolutionary Computing · Computer Science 2016-02-16 Oleg Y. Sinyavskiy

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

Modeling communication dynamics in the brain is a key challenge in network neuroscience. We present here a framework that combines two measurements for any system where different communication processes are taking place on top of a fixed…

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

Understanding how and how far information, behaviors, or pathogens spread in social networks is an important problem, having implications for both predicting the size of epidemics, as well as for planning effective interventions. There are,…

Physics and Society · Physics 2015-05-28 Jukka-Pekka Onnela , Nicholas A. Christakis

Understanding the mechanisms of neural communication in large-scale brain networks remains a major goal in neuroscience. We investigated whether navigation is a parsimonious routing model for connectomics. Navigating a network involves…

Neurons and Cognition · Quantitative Biology 2018-06-05 Caio Seguin , Martijn P. van den Heuvel , Andrew Zalesky

We analyze information diffusion using empirical data that tracks online communication around two instances of mass political mobilization, including the year that lapsed in-between the protests. We compare the global properties of the…

Physics and Society · Physics 2015-06-16 Raquel A. Baños , Javier Borge-Holthoefer , Ning Wang , Yamir Moreno , Sandra González-Bailón

Various hypotheses exist about the paths used for communication between the nodes of complex networks. Most studies simply suppose that communication goes via shortest paths, while others have more explicit assumptions about how routing…

We present an efficient routing approach for delivering packets in complex networks. On delivering a message from a node to a destination, a node forwards the message to a neighbor by estimating the waiting time along the shortest path from…

Networking and Internet Architecture · Computer Science 2008-06-12 Huan Zhang , Zonghua Liu , Ming Tang , P. M. Hui

In both natural and engineered systems, communication often occurs dynamically over networks ranging from highly structured grids to largely disordered graphs. To use, or comprehend the use of, networks as efficient communication media…

Physics and Society · Physics 2020-03-17 Giacomo Baggio , Virginia Rutten , Guillaume Hennequin , Sandro Zampieri

Adaptive networks consist of a collection of nodes with adaptation and learning abilities. The nodes interact with each other on a local level and diffuse information across the network to solve estimation and inference tasks in a…

Information Theory · Computer Science 2015-06-05 Sheng-Yuan Tu , Ali H. Sayed

We use the linear threshold model to study the diffusion of information on a network generated by the stochastic block model. We focus our analysis on a two community structure where the initial set of informed nodes lies only in one of the…

Physics and Society · Physics 2016-09-21 Gianbiagio Curato , Fabrizio Lillo

We study transport in topologically disordered networks that are subjected to an environment that induces classical diffusion. The dynamics is phenomenologically described within the framework of the recently introduced quantum stochastic…

Quantum Physics · Physics 2012-05-22 Petrus Schijven , Johannes Kohlberger , Alexander Blumen , Oliver Muelken

The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of "influential spreaders" for maximizing information dissemination and…

Social and Information Networks · Computer Science 2022-06-01 Andrey Y. Lokhov , David Saad

Optimal paths connecting randomly selected network nodes and fixed routers are studied analytically in the presence of non-linear overlap cost that penalizes congestion. Routing becomes increasingly more difficult as the number of selected…

Disordered Systems and Neural Networks · Physics 2012-05-15 Chi Ho Yeung , David Saad
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