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We propose a information theoretical framework to capture transition and information costs of network navigation models. Based on the minimum description length principle and the Markov decision process, we demonstrate that efficient global…

社会与信息网络 · 计算机科学 2020-01-14 Xiaoran Yan , Olaf Sporns , Andrea Avena-Koenigsberger

We propose a model for the social flow of information in the form of text data, which simulates the posting and sharing of short social media posts. Nodes in a graph representing a social network take turns generating words, leading to a…

物理与社会 · 物理学 2018-07-13 James P. Bagrow , Lewis Mitchell

We consider a model of Internet congestion control that represents the randomly varying number of flows present in a network where bandwidth is shared fairly between document transfers. We study critical fluid models obtained as formal…

概率论 · 数学 2016-09-07 F. P. Kelly , R. J. Williams

A family of information theoretic models of communication was introduced more than a decade ago to explain the origins of Zipf's law for word frequencies. The family is a based on a combination of two information theoretic principles:…

物理与社会 · 物理学 2020-09-24 Ramon Ferrer-i-Cancho

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

神经元与认知 · 定量生物学 2015-01-09 Simon R. Schultz , Robin A. A. Ince , Stefano Panzeri

Deep Neural Networks (DNNs) have become ubiquitous in medical image processing and analysis. Among them, U-Nets are very popular in various image segmentation tasks. Yet, little is known about how information flows through these networks…

机器学习 · 计算机科学 2021-04-05 Suemin Lee , Ivan V. Bajić

Robustness of distributed routing policies is studied for dynamical flow networks, with respect to adversarial disturbances that reduce the link flow capacities. A dynamical flow network is modeled as a system of ordinary differential…

系统与控制 · 计算机科学 2012-05-30 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

To investigate the role of information flow in group formation, we introduce a model of communication and social navigation. We let agents gather information in an idealized network society, and demonstrate that heterogeneous groups can…

物理与社会 · 物理学 2009-03-04 M. Rosvall , K. Sneppen

Physical Flow Networks are different infrastructure networks that allow the flow of physical commodities through edges between its constituent nodes. These include power grid, natural gas transmission network, water pipelines etc. In such…

最优化与控制 · 数学 2016-08-18 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Information propagation characterizes how input correlations evolve across layers in deep neural networks. This framework has been well studied using mean-field theory, which assumes infinitely wide networks. However, these assumptions…

机器学习 · 计算机科学 2026-01-21 Giuseppe Alessio D'Inverno , Zhiyuan Hu , Leo Davy , Michael Unser , Gianluigi Rozza , Jonathan Dong

Many dynamical processes on real world networks display complex temporal patterns as, for instance, a fat-tailed distribution of inter-events times, leading to heterogeneous waiting times between events. In this work, we focus on…

物理与社会 · 物理学 2016-05-25 Sarah De Nigris , Anthony Hastir , Renaud Lambiotte

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…

物理与社会 · 物理学 2020-03-17 Giacomo Baggio , Virginia Rutten , Guillaume Hennequin , Sandro Zampieri

We propose a model of random diffusion to investigate flow fluctuations in complex networks. We derive an analytical law showing that the dependence of fluctuations with the mean traffic in a network is ruled by the delicate interplay of…

物理与社会 · 物理学 2008-05-21 S. Meloni , J. Gomez-Gardenes , V. Latora , Y. Moreno

We propose a simple model of the evolution of a social network which involves local search and volatility (random decay of links). The model captures the crucial role the network plays for information diffusion. This is responsible for a…

统计力学 · 物理学 2007-05-23 Matteo Marsili , Fernando Vega-Redondo , Frantisek Slanina

In this work, we quantify the time scales and information flow associated with multiscale energy transfer in a weakly turbulent system. This is done through a greedy optimization algorithm which finds the maximum conditional-mutual…

混沌动力学 · 物理学 2026-01-13 Christopher W. Curtis , Erik M. Bollt

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

无序系统与神经网络 · 物理学 2009-11-13 Kartik Anand , Tobias Galla

From footpaths to flight routes, human mobility networks facilitate the spread of communicable diseases. Control and elimination efforts depend on characterizing these networks in terms of connections and flux rates of individuals between…

种群与进化 · 定量生物学 2016-01-29 Kyle B Gustafson , Basil S. Bayati , Philip A. Eckhoff

We offer a general theoretical framework for brain and behavior that is evolutionarily and computationally plausible. The brain in our abstract model is a network of nodes and edges. Although it has some similarities to standard neural…

人工智能 · 计算机科学 2022-04-12 Joseph Y. Halpern , Arnon Lotem

This paper introduces a statistical model for the arrival times of connection events in a computer network. Edges between nodes in a network can be interpreted and modelled as point processes where events in the process indicate information…

应用统计 · 统计学 2017-11-29 Matthew Price-Williams , Nick Heard