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Missing data is pervasive in econometric applications, and rarely is it plausible that the data are missing (completely) at random. This paper proposes a methodology for studying the robustness of results drawn from incomplete datasets.…

Econometrics · Economics 2025-12-29 Daniel Ober-Reynolds

A central issue in the study of large complex network systems, such as power grids, financial networks, and ecological systems, is to understand their response to dynamical perturbations. Recent studies recognize that many real networks…

Adaptation and Self-Organizing Systems · Physics 2022-07-26 Chao Duan , Takashi Nishikawa , Deniz Eroglu , Adilson E. Motter

The robustness of complex networks against node failure and malicious attack has been of interest for decades, while most of the research has focused on random attack or hub-targeted attack. In many real-world scenarios, however, attacks…

Physics and Society · Physics 2015-06-23 Shuai Shao , Xuqing Huang , H Eugene Stanley , Shlomo Havlin

In this short note we provide a proof of boundedness of solutions for a network system composed of heterogeneous nonlinear autonomous systems interconnected over a directed graph. The sole assumptions imposed are that the systems are…

Optimization and Control · Mathematics 2023-07-28 Anes Lazri , Elena Panteley , Antonio Loria

The discovery of community structure is a common challenge in the analysis of network data. Many methods have been proposed for finding community structure, but few have been proposed for determining whether the structure found is…

Data Analysis, Statistics and Probability · Physics 2008-04-29 Brian Karrer , Elizaveta Levina , M. E. J. Newman

We study the risks of validator reuse across multiple services in a restaking protocol. We characterize the robust security of a restaking network as a function of the buffer between the costs and profits from attacks. For example, our…

Computer Science and Game Theory · Computer Science 2024-08-01 Naveen Durvasula , Tim Roughgarden

With the development of neural networks based machine learning and their usage in mission critical applications, voices are rising against the \textit{black box} aspect of neural networks as it becomes crucial to understand their limits and…

Machine Learning · Statistics 2017-08-08 El Mahdi El Mhamdi , Rachid Guerraoui , Sebastien Rouault

A networked dynamical system is composed of subsystems interconnected through prescribed interactions. In many engineering applications, however, one subsystem can also affect others through "unintended" interactions that can significantly…

Systems and Control · Electrical Eng. & Systems 2020-09-10 Yili Qian , Domitilla Del Vecchio

We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when the robustness of a node depends on its degree or in an…

Disordered Systems and Neural Networks · Physics 2009-11-11 Lazaros K. Gallos , Reuven Cohen , Panos Argyrakis , Armin Bunde , Shlomo Havlin

The outage performance of wireless networks with unstructured network topologies is investigated. The network reliability perspective of graph theory is used to obtain the network outage polynomial of generalized wireless networks by…

Information Theory · Computer Science 2019-04-30 Semiha Tedik Basaran , Gunes Karabulut Kurt , Frank R. Kschischang

While new forms of attacks are developed every day to compromise essential infrastructures, service providers are also expected to develop strategies to mitigate the risk of extreme failures. In this context, tools of Network Science have…

Physics and Society · Physics 2015-03-13 V. H. P. Louzada , F. Daolio , H. J. Herrmann , M. Tomassini

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

In interdependent networks, it is usually assumed, based on percolation theory, that nodes become nonfunctional if they lose connection to the network giant component. However, in reality, some nodes, equipped with alternative resources,…

Physics and Society · Physics 2017-07-05 Xin Yuan , Yanqing Hu , H. Eugene Stanley , Shlomo Havlin

We consider a model of two interdependent networks, where every node in one network depends on one or more supply nodes in the other network and a node fails if it loses all of its supply nodes. We develop algorithms to compute the failure…

Data Structures and Algorithms · Computer Science 2021-11-29 Jianan Zhang , Eytan Modiano

Disruptions to transportation networks are inevitable. Currently, most mandated development-related transportation planning is intended to prepare for frequently occurring and observable disruptions while low probability events that have…

Physics and Society · Physics 2019-12-11 Margaret Kurth , William Kozlowski , Alexander Ganin , Avi Mersky , Billy Leung , Maksim Kitsak , Igor Linkov

This paper analyzes the robustness of state-of-the-art AI-based models for power grid operations under the $N-1$ security criterion. While these models perform well in regular grid settings, our results highlight a significant loss in…

Artificial Intelligence · Computer Science 2024-06-21 Pantelis Dogoulis , Matthieu Jimenez , Salah Ghamizi , Maxime Cordy , Yves Le Traon

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

Many real world complex systems such as infrastructure, communication and transportation networks are embedded in space, where entities of one system may depend on entities of other systems. These systems are subject to geographically…

Physics and Society · Physics 2015-03-13 Yehiel Berezin , Amir Bashan , Michael M. Danziger , Daqing Li , Shlomo Havlin

Recently, it has been proposed that the natural connectivity can be used to efficiently characterise the robustness of complex networks. Natural connectivity quantifies the redundancy of alternative routes in a network by evaluating the…

Statistical Mechanics · Physics 2010-09-20 Jun Wu , Mauricio Barahona , Yuejin Tan , Hongzhong Deng

The need for reliable and low-cost infrastructure is crucial in today's world. However, achieving both at the same time is often challenging. Traditionally, infrastructure networks are designed with a radial topology lacking redundancy,…

Discrete Mathematics · Computer Science 2023-08-23 Rotem Brand , Reuven Cohen , Baruch Barzel , Simi Haber
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