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The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

物理与社会 · 物理学 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

We consider a general tractable model for default contagion and systemic risk in a heterogeneous financial network, subject to an exogenous macroeconomic shock. We show that, under some regularity assumptions, the default cascade model…

风险管理 · 定量金融 2021-04-02 Hamed Amini , Zhongyuan Cao , Agnes Sulem

Natural systems are remarkably robust and resilient, maintaining essential functions despite variability, uncertainty, and hostile conditions. Understanding these nonlinear, dynamic behaviours is challenging because such systems involve…

数学物理 · 物理学 2025-12-02 Daniele Proverbio , Rami Katz , Giulia Giordano

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

社会与信息网络 · 计算机科学 2010-11-19 L. Backstrom , J. Leskovec

We present a network-based framework for simulating systemic risk that considers shock propagation in banking systems. In particular, the framework allows the modeller to reflect a top-down framework where a shock to one bank in the system…

风险管理 · 定量金融 2018-11-13 Nadine M Walters , Conrad Beyers , Gusti van Zyl , Rolf van den Heever

Dynamic systems characterized by diversified evolutions are not only more flexible, but also more resilient to attacks, failures and changing conditions. This article addresses the quantification of the diversity of non-linear transient…

物理与社会 · 物理学 2008-01-07 Luciano da Fontoura Costa

The importance of adequately modeling credit risk has once again been highlighted in the recent financial crisis. Defaults tend to cluster around times of economic stress due to poor macro-economic conditions, {\em but also} by directly…

风险管理 · 定量金融 2015-06-04 Sebastian Heise , Reimer Kuehn

We consider the problem of risk diversification in complex networks. Nodes represent e.g. financial actors, whereas weighted links represent e.g. financial obligations (credits/debts). Each node has a risk to fail because of losses…

物理与社会 · 物理学 2016-04-27 Rebekka Burkholz , Antonios Garas , Frank Schweitzer

The structure of many financial networks is protected by privacy and has to be inferred from aggregate observables. Here we consider one of the most successful network reconstruction methods, producing random graphs with desired link…

物理与社会 · 物理学 2024-03-21 Andrea Gabrielli , Valentina Macchiati , Diego Garlaschelli

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

物理与社会 · 物理学 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai

The co-evolution between network structure and functional performance is a fundamental and challenging problem whose complexity emerges from the intrinsic interdependent nature of structure and function. Within this context, we investigate…

神经与进化计算 · 计算机科学 2016-05-10 Daniel R. Figueiredo , Michele Garetto

We study the mutual percolation of a system composed of two interdependent random regular networks. We introduce a notion of distance to explore the effects of the proximity of interdependent nodes on the cascade of failures after an…

物理与社会 · 物理学 2014-03-26 Yosef Kornbluth , Steven Lowinger , Gabriel Cwilich , Sergey V. Buldyrev

We investigate the statistics of fluctuations in a classical stochastic network of nodes joined by connectors. The nodes carry generalized charge that may be randomly transferred from one node to another. Our goal is to find the time…

介观与纳米尺度物理 · 物理学 2009-11-10 Andrew N. Jordan , Eugene V. Sukhorukov , Sebastian Pilgram

We consider a dynamical model of distress propagation on complex networks, which we apply to the study of financial contagion in networks of banks connected to each other by direct exposures. The model that we consider is an extension of…

风险管理 · 定量金融 2016-10-05 Marco Bardoscia , Fabio Caccioli , Juan Ignacio Perotti , Gianna Vivaldo , Guido Caldarelli

The goal of this paper is to study organized flocking behavior and systemic risk in heterogeneous mean-field interacting diffusions. We illustrate in a number of case studies the effect of heterogeneity in the behavior of systemic risk in…

风险管理 · 定量金融 2017-06-12 Fei Fang , Yiwei Sun , Konstantinos Spiliopoulos

Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into…

物理与社会 · 物理学 2021-04-29 Felipe Xavier Costa , Pedro Pessoa

Just as a herd of animals relies on its robust social structure to survive in the wild, similarly robustness is a crucial characteristic for the survival of a complex network under attack. The capacity to measure robustness in complex…

网络与互联网体系结构 · 计算机科学 2008-11-27 Ali Sydney , Caterina Scoglio , Phillip Schumm , Robert Kooij

The threshold model has been widely adopted as a prototype for studying contagion processes on social networks. In this paper, we consider individual interactions in groups of three or more vertices and study the threshold model on…

物理与社会 · 物理学 2022-03-01 Xin-Jian Xu , Shuang He , Li-Jie Zhang

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

无序系统与神经网络 · 物理学 2024-05-08 Kenichi Nakazato

Economic interdependencies have become increasingly present in globalized production, financial and trade systems. While establishing interdependencies among economic agents is crucial for the production of complex products, they may also…

物理与社会 · 物理学 2019-12-23 Aymeric Vié , Alfredo J. Morales