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In this paper, we propose a method to identify the damaged component and quantify its damage amount in a large network given its overall frequency response. The identification procedure takes advantage of our previous work which exactly…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Xiangyu Ni , Bill Goodwine

We propose in this paper an adaptive reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition and projection-based model order reduction permits to focus…

Classical Physics · Physics 2015-06-11 Pierre Kerfriden , Olivier Goury , Timon Rabczuk , Stephane Pierre-Alain Bordas

Fractional gradient descent has been studied extensively, with a focus on its ability to extend traditional gradient descent methods by incorporating fractional-order derivatives. This approach allows for more flexibility in navigating…

Machine Learning · Computer Science 2024-11-25 Teodor Alexandru Szente , James Harrison , Mihai Zanfir , Cristian Sminchisescu

Real networks are vulnerable to random failures and malicious attacks. However, when a node is harmed or damaged, it may remain partially functional, which helps to maintain the overall network structure and functionality. In this paper, we…

Physics and Society · Physics 2022-03-14 L. D. Valdez , L. A. Braunstein

A computationally method on damage detection problems in structures was conducted using neural networks. The problem that is considered in this works consists of estimating the existence, location and extent of stiffness reduction in…

Neural and Evolutionary Computing · Computer Science 2008-07-01 Ismoyo Haryanto , Joga Dharma Setiawan , Agus Budiyono

We consider propagation models that describe the spreading of an attribute, called "damage", through the nodes of a random network. In some systems, the average fraction of nodes that remain undamaged vanishes in the large system limit, a…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Björn Samuelsson , Joshua E. S. Socolar

For some time now, wood has offered itself as an alternative to other modern construction materials, and has become the material of choice for structures, mainly because of its renewable nature, durability and ease of shaping. However, once…

The functional features of spatial networks depend upon a non-trivial relationship between the topological and physical structure. Here, we explore that relationship for spatial networks with radial symmetry and disordered fractal…

Materials Science · Physics 2023-11-01 A. C. Flores-Ortega , J. R. Nicolás-Carlock , J. L. Carrillo-Estrada

This paper presents a versatile model for generating fractal complex networks that closely mirror the properties of real-world systems. By combining features of reverse renormalization and evolving network models, the proposed approach…

Physics and Society · Physics 2025-09-23 Kordian Makulski , Mateusz Samsel , Michal Lepek , Agata Fronczak , Piotr Fronczak

A non-local model describing the growth of a tree-like transportation network with given allocation rules is proposed. In this model we focus on tree like networks, and the network transports the very resource it needs to build itself. Some…

Adaptation and Self-Organizing Systems · Physics 2019-07-24 Olivier Bui , Xavier Leoncini

After a failure or attack the structure of a complex network changes due to node removal. Here, we show that the degree distribution of the distorted network, under any node disturbances, can be easily computed through a simple formula.…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Bivas Mitra , Niloy Ganguly , Sujoy Ghose , Fernando Peruani

Decompositions of networks are useful not only for structural exploration. They also have implications and use in analysis and computational solution of processes (such as the Ising model, percolation, SIR model) running on a given network.…

Disordered Systems and Neural Networks · Physics 2020-04-29 Konstantin Klemm

We find that the fractal scaling in a class of scale-free networks originates from the underlying tree structure called skeleton, a special type of spanning tree based on the edge betweenness centrality. The fractal skeleton has the…

Statistical Mechanics · Physics 2009-11-11 K. -I. Goh , G. Salvi , B. Kahng , D. Kim

Fixed effects models are very flexible because they do not make assumptions on the distribution of effects and can also be used if the heterogeneity component is correlated with explanatory variables. A disadvantage is the large number of…

Methodology · Statistics 2015-12-17 Moritz Berger , Gerhard Tutz

We study the role of fluctuations in percolation of sparse complex networks. To this end we consider two random correlated realizations of the initial damage of the nodes and we evaluate the fraction of nodes that are expected to remain in…

Physics and Society · Physics 2017-07-12 Ginestra Bianconi

We explore the robustness of complex networks against physical damage. We focus on spatially embedded network models and datasets where links are physical objects or physically transfer some quantity, which can be disrupted at any point…

Statistical Mechanics · Physics 2024-12-13 Luka Blagojević , Ivan Bonamassa , Márton Pósfai

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

Machine Learning · Computer Science 2013-01-18 Amos J. Storkey

Using a simple and generic molecular dynamics model, we study the damage in a disc of interacting particles as the disc fragments upon impact with a wall. The damage, defined as the ratio of the number of bonds broken by the impact to the…

Statistical Mechanics · Physics 2011-01-21 N. Sator , H. Hietala

Fractals represent one of the fundamental manifestations of complexity, and fractal networks serve as tools for characterizing and investigating the fractal structures and properties of large-scale systems. Higher-order networks have…

Combinatorics · Mathematics 2026-05-01 Lin Qi , Jiaxin Zhang

We consider a distribution network for delivering a natural resource or physical good to a set of nodes, each of which serves a set of customers, in which disruptions may occur at one or more nodes. Each node receives flow through a path…

Optimization and Control · Mathematics 2025-11-05 Pelin Keşrit , Bahar Çavdar , Joseph Geunes
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