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Given the dynamic nature of traffic, we investigate the variant of robust network design where we have to determine the capacity to reserve on each link so that each demand vector belonging to a polyhedral set can be routed. The objective…

Computational Complexity · Computer Science 2021-01-29 Yacine Al-Najjar , Walid Ben-Ameur , Jeremie Leguay

Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations, reduced damping and reduced intertia may undermine the…

Adaptation and Self-Organizing Systems · Physics 2017-06-14 Benjamin Schäfer , Moritz Matthiae , Xiaozhu Zhang , Martin Rohden , Marc Timme , Dirk Witthaut

Many networks have nodes located in physical space, with links more common between closely spaced pairs of nodes. For example, the nodes could be wireless devices and links communication channels in a wireless mesh network. We describe…

Networking and Internet Architecture · Computer Science 2019-02-14 Carl Dettmann , Orestis Georgiou , Pete Pratt

Infrastructure networks are vulnerable to both cyber and physical attacks. Building a secure and resilient networked system is essential for providing reliable and dependable services. To this end, we establish a two-player three-stage game…

Systems and Control · Electrical Eng. & Systems 2019-06-19 Juntao Chen , Corinne Touati , Quanyan Zhu

Natural disasters, such as hurricanes, earthquakes and large wind or ice storms, typically require the repair of a large number of components in electricity distribution networks. Since power cannot be restored before these repairs have…

Optimization and Control · Mathematics 2018-03-09 Yushi Tan , Feng Qiu , Arindam K. Das , Daniel S. Kirschen , Payman Arabshahi , Jianhui Wang

We demonstrate a modeling and computational framework that allows for rapid screening of thousands of potential network designs for particular dynamic behavior. To illustrate this capability we consider the problem of hysteresis, a…

Dynamical Systems · Mathematics 2021-09-15 Marcio Gameiro , Tomas Gedeon , Shane Kepley , Konstantin Mischaikow

Recently, In [Phys. Rev. Lett. 104, 018701 (2010)] the authors studied a spatial network which is constructed from a regular lattice by adding long-range edges (shortcuts) with probability $P_{ij}\sim r_{ij}^{-\alpha}$, where $r_{ij}$ is…

Physics and Society · Physics 2015-06-03 Weiping Liu , An Zeng , Yanbo Zhou

Physical networks are made of nodes and links that are physical objects embedded in a geometric space. Understanding how the mutual volume exclusion between these elements affects the structure and function of physical networks calls for a…

Statistical Mechanics · Physics 2024-06-14 Gábor Pete , Ádám Timár , Sigurdur Örn Stefánsson , Ivan Bonamassa , Márton Pósfai

For decades, solutions to regional scale landslide prediction have mostly relied on data-driven models, by definition, disconnected from the physics of the failure mechanism. The success and spread of such tools came from the ability to…

Geophysics · Physics 2024-12-04 Ashok Dahal , Luigi Lombardo

Recent advances in adversarial attacks uncover the intrinsic vulnerability of modern deep neural networks. Since then, extensive efforts have been devoted to enhancing the robustness of deep networks via specialized learning algorithms and…

Machine Learning · Computer Science 2020-03-27 Minghao Guo , Yuzhe Yang , Rui Xu , Ziwei Liu , Dahua Lin

The increasing demands in security and reliability of infrastructures call for the optimal design of their embedded complex networks topologies. The following question then arises: what is the optimal layout to fulfill best all the demands?…

Physics and Society · Physics 2014-06-30 C. I. N. Sampaio Filho , A. A. Moreira , R. F. S. Andrade , H. J. Herrmann , J. S. Andrade

Since long back, scientists have been putting enormous effort to understand earthquake dynamics -the goal is to develop a successful prediction scheme which can provide reliable alarm that an earthquake is imminent. Model studies sometimes…

Statistical Mechanics · Physics 2009-08-03 Srutarshi Pradhan

If we assume that earthquakes are chaotic, and influenced locally then chaos theory suggests that there should be a temporal association between earthquakes in a local region that should be revealed with statistical examination. To date no…

Applications · Statistics 2019-02-14 Parsa Rastin , Michael LuValle

Cloud Computing is an emerging area. The main aim of the initial search-and-rescue period after strong earthquakes is to reduce the whole number of mortalities. One main trouble rising in this period is to and the greatest assignment of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-28 Sukhpal Singh , Rishideep Singh

We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

Optimization and Control · Mathematics 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson

In real communication and transportation networks, the geographical positions of nodes are very important for the efficiency and the tolerance of connectivity. Considering spatially inhomogeneous positions of nodes according to a…

Physics and Society · Physics 2010-07-23 Yukio Hayashi , Yasumasa Ono

We study spatial networks that are designed to distribute or collect a commodity, such as gas pipelines or train tracks. We focus on the cost of a network, as represented by the total length of all its edges, and its efficiency in terms of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael T. Gastner , M. E. J. Newman

Neural networks, being susceptible to adversarial attacks, should face a strict level of scrutiny before being deployed in critical or adversarial applications. This paper uses ideas from Chaos Theory to explain, analyze, and quantify the…

Machine Learning · Computer Science 2023-07-07 Jonathan S. Kent

Recently, there has been an explosion of work on network routing in hostile environments. Hostile environments tend to be dynamic, and the motivation for this work stems from the scenario of IED placements by insurgents in a logistical…

Applications · Statistics 2011-07-26 Nozer D. Singpurwalla

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal
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