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It is often desirable to assess how well a given dataset is described by a given model. In network science, for instance, one often wants to say that a given real-world network appears to come from a particular network model. In statistical…

It has recently become established that the spread of infectious diseases between humans is affected not only by the pathogen itself but also by changes in behavior as the population becomes aware of the epidemic; for example, social…

Physics and Society · Physics 2013-10-09 Yilei Bu , Steve Gregory , Harriet L. Mills

In this paper, a model (called the elliptic model) is proposed to estimate the number of social ties between two locations using population data in a similar manner to how transportation research deals with trips. To overcome the asymmetry…

Physics and Society · Physics 2014-05-05 C Herrera-Yagüe , CM Schneider , Z Smoreda , T Couronné , PJ Zufiria , MC González

Both human-made and natural supply systems, such as power grids and leaf venation networks, are built to operate reliably under changing external conditions. Many of these spatial networks exhibit community structures. Here, we show that a…

Physics and Society · Physics 2022-12-06 Franz Kaiser , Philipp C. Böttcher , Henrik Ronellenfitsch , Vito Latora , Dirk Witthaut

We consider the problem of locating a facility on a network, represented by a graph. A set of strategic agents have different ideal locations for the facility; the cost of an agent is the distance between its ideal location and the…

Computer Science and Game Theory · Computer Science 2009-07-14 Noga Alon , Michal Feldman , Ariel D. Procaccia , Moshe Tennenholtz

A comprehensive data analysis system is implemented for the extraction of information and comparison of North American public transport systems. The system is based on network representations of the transport systems and makes use of a span…

Social and Information Networks · Computer Science 2020-01-08 Abbas Masoumzadeh , Tilemachos Pechlivanoglou

We consider the problem of estimating the states of weakly coupled linear systems from sampled measurements. We assume that the total capacity available to the sensors to transmit their samples to a network manager in charge of the…

Systems and Control · Computer Science 2016-10-25 Xudong Chen , M. -A. Belabbas , Tamer Basar

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

Information Theory · Computer Science 2018-07-31 Wenjie Li , Mohamad Assaad

We consider the general character of the spatial distribution of a population that grows through reproduction and subsequent local resettlement of new population members. We present several simple one and two-dimensional point placement…

Pattern Formation and Solitons · Physics 2013-05-29 Jonathan Ozik , Brian R. Hunt , Edward Ott

Modularity is a key organizing principle in real-world large-scale complex networks. Many real-world networks exhibit modular structures such as transportation infrastructures, communication networks and social media. Having the knowledge…

Physics and Society · Physics 2020-02-26 Eitan Asher , Hillel Sanhedrai , Nagendra K. Panduranga , Reuven Cohen , Shlomo Havlin

The difficulty of getting medical treatment is one of major livelihood issues in China. Since patients lack prior knowledge about the spatial distribution and the capacity of hospitals, some hospitals have abnormally high or sporadic…

Social and Information Networks · Computer Science 2017-08-03 Hanqing Chao , Yuan Cao , Junping Zhang , Fen Xia , Ye Zhou , Hongming Shan

A population is said to have an ideal free distribution in a spatially heterogeneous but temporally constant environment if each of its members have chosen a fixed spatial location in a way that optimizes its individual fitness, allowing…

Analysis of PDEs · Mathematics 2021-07-26 Robert Stephen Cantrell , Chris Cosner , King-Yeung Lam

This article describes a model and an exact solution method for facility location problems with decision-dependent uncertainties. The model allows characterizing the probability distribution of the random elements as a function of the…

Optimization and Control · Mathematics 2025-09-15 Giovanni Pantuso

Spatial networks range from the brain networks, to transportation networks and infrastructures. Recently interacting and multiplex networks are attracting great attention because their dynamics and robustness cannot be understood without…

Physics and Society · Physics 2015-06-17 Arda Halu , Satyam Mukherjee , Ginestra Bianconi

The basic optimal transportation problem consists in finding the most effective way of moving masses from one location to another, while minimizing the transportation cost. Such concept has been found to be useful to understand various…

Computer Science and Game Theory · Computer Science 2011-06-10 Alonso Silva , Hamidou Tembine , Eitan Altman , Merouane Debbah

We study the problem of aggregating distributions, such as budget proposals, into a collective distribution. An ideal aggregation mechanism would be Pareto efficient, strategyproof, and fair. Most previous work assumes that agents evaluate…

Theoretical Economics · Economics 2025-12-24 Felix Brandt , Matthias Greger , Erel Segal-Halevi , Warut Suksompong

Many real life networks, such as the World Wide Web, transportation systems, biological or social networks, achieve both a strong local clustering (nodes have many mutual neighbors) and a small diameter (maximum distance between any two…

Condensed Matter · Physics 2009-11-07 Francesc Comellas , Michael Sampels

We investigate the containment of epidemic spreading in networks from a normative point of view. We consider a susceptible/infected model in which agents can invest in order to reduce the contagiousness of network links. In this setting, we…

Theoretical Economics · Economics 2020-07-16 Geraldine Bouveret , Antoine Mandel

The extreme traffic load that future wireless networks are expected to accommodate requires a re-thinking of the system design. Initial estimations indicate that, different from the evolutionary path of previous cellular generations that…

Information Theory · Computer Science 2015-10-21 Antonis G. Gotsis , Stelios Stefanatos , Angeliki Alexiou

We address the problem of defining a network graph on a large collection of classes. Each class is comprised of a collection of data points, sampled in a non i.i.d. way, from some unknown underlying distribution. The application we consider…

Machine Learning · Statistics 2017-07-04 Alexander Cloninger , Brita Roy , Carley Riley , Harlan M. Krumholz