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The problem of estimating high-dimensional network models arises naturally in the analysis of many physical, biological and socio-economic systems. Examples include stock price fluctuations in financial markets and gene regulatory networks…

统计方法学 · 统计学 2013-10-09 Sumanta Basu , Ali Shojaie , George Michailidis

Given a Fractional Repetition code, finding the reconstruction and repair degree in a distributed storage system is an important problem. In this work, we present algorithms for computing the reconstruction and repair degree of fractional…

信息论 · 计算机科学 2013-05-21 Krishna Gopal Benerjee , Manish K. Gupta , Nikhil Agrawal

We consider distributed networks, such as peer-to-peer networks, whose structure can be manipulated by adjusting the rules by which vertices enter and leave the network. We focus in particular on degree distributions and show that, with…

物理与社会 · 物理学 2007-10-18 Gourab Ghoshal , M. E. J. Newman

A thermo-mechanical fracture modeling is proposed to address thermal failure issues, where the temperature field is calculated by a heat conduction model based on classical continuum mechanics (CCM), while the deformation field with…

计算工程、金融与科学 · 计算机科学 2025-09-03 Sitong Tao , Fei Han

Tree-size distribution is one of the most investigated subjects in plant population biology. The forestry literature reports that tree-size distribution trajectories vary across different stands and/or species, while the metabolic scaling…

种群与进化 · 定量生物学 2012-12-04 Tommaso Anfodillo , Marco Carrer , Filippo Simini , Ionel Popa , Jayanth R. Banavar , Amos Maritan

We study the vulnerability of dominating sets against random and targeted node removals in complex networks. While small, cost-efficient dominating sets play a significant role in controllability and observability of these networks, a fixed…

物理与社会 · 物理学 2015-06-12 F. Molnar , N. Derzsy , B. K. Szymanski , G. Korniss

We study a model of growing planar tree graphs where in each time step we separate the tree into two components by splitting a vertex and then connect the two pieces by inserting a new link between the daughter vertices. This model…

统计力学 · 物理学 2009-11-13 Francois David , Mark Dukes , Thordur Jonsson , Sigurdur Orn Stefansson

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…

概率论 · 数学 2022-07-19 Ivan Kryven , Rik Versendaal

In this paper, we consider a problem in which distributively extracted features are used for performing inference in wireless networks. We elaborate on our proposed architecture, which we herein refer to as "in-network learning", provide a…

机器学习 · 统计学 2021-09-20 Matei Moldoveanu , Abdellatif Zaidi

Tree-ordered weakly sparse models have recently emerged as a robust framework for representing structures in an ``almost sparse'' way, while allowing the structure to be reconstructed through a simple first-order interpretation. A prominent…

We introduce a novel interpretable tree based algorithm for prediction in a regression setting. Our motivation is to estimate the unknown regression function from a functional decomposition perspective in which the functional components…

机器学习 · 统计学 2023-08-04 Munir Hiabu , Enno Mammen , Joseph T. Meyer

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Cascade models on networks have been used extensively to study cascade failure in complex systems. However, most current models consider failure caused by node damage and neglect the possibility of link damage, which is relevant to…

物理与社会 · 物理学 2021-12-22 King Chun Wong , Sai-Ping Li

Representation of cities as organisms with metabolic processes is a useful analogy for urban design, development and sustainability. Urban metabolism can be modeled by representing urban systems as networks. The various networks included in…

物理与社会 · 物理学 2026-04-09 Bharat Sharma , Abhilasha J. Saroj , Evan Scherrer , Melissa R. Allen-Dumas

The function or performance of a network is strongly dependent on its robustness, quantifying the ability of the network to continue functioning under perturbations. While a wide variety of robustness metrics have been proposed, they have…

社会与信息网络 · 计算机科学 2023-06-16 Liwang Zhu , Qi Bao , Zhongzhi Zhang

Project networks are characterized by power law degree distributions, a property that is known to promote spreading. In contrast, the longest path length of project networks scales algebraically with the network size, which improves the…

物理与社会 · 物理学 2024-04-26 Alexei Vazquez

We analyze the fragmentation behavior of random clusters on the lattice under a process where bonds between neighboring sites are successively broken. Modeling such structures by configurations of a generalized Potts or random-cluster model…

统计力学 · 物理学 2016-08-08 Eren Metin Elçi , Martin Weigel , Nikolaos G. Fytas

We investigate the structural organization of the point-to-point electric, diffusive or hydraulic transport in complex scale-free networks. The random choice of two nodes, a source and a drain, to which a potential difference is applied,…

We calculate the spectral dimension of a wide class of tree-like fractals by solving the random walk problem through a new analytical technique, based on invariance under generalized cutting-decimation transformations. These fractals are…

统计力学 · 物理学 2009-10-30 Raffaella Burioni , Davide Cassi , Alberto Pirati , Sofia Regina

The identification of structural damages takes a more and more important role within the modern economy, where often the monitoring of an infrastructure is the last approach to keep it under public use. Conventional monitoring methods…

机器学习 · 计算机科学 2021-03-31 Frank Wuttke , Hao Lyu , Amir S. Sattari , Zarghaam H. Rizvi