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We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

统计方法学 · 统计学 2021-03-05 Lizhen Nie , Dan L. Nicolae

We study a distributed consensus-based stochastic gradient descent (SGD) algorithm and show that the rate of convergence involves the spectral properties of two matrices: the standard spectral gap of a weight matrix from the network…

最优化与控制 · 数学 2016-09-02 Avleen S. Bijral , Anand D. Sarwate , Nathan Srebro

This paper proposes a new measure of node centrality in social networks, the Harmonic Influence Centrality, which emerges naturally in the study of social influence over networks. Using an intuitive analogy between social and electrical…

最优化与控制 · 数学 2014-01-16 Luca Vassio , Fabio Fagnani , Paolo Frasca , Asuman Ozdaglar

This paper considers estimation and inference in semiparametric econometric models. Standard procedures estimate the model based on an independence restriction that induces a minimum distance between a joint cumulative distribution function…

统计理论 · 数学 2014-12-09 Zhengyuan Gao , Antonio Galvao

Topological metrics of graphs provide a natural way to describe the prominent features of various types of networks. Graph metrics describe the structure and interplay of graph edges and have found applications in many scientific fields. In…

数据结构与算法 · 计算机科学 2018-06-21 Loukianos Spyrou , Javier Escudero

We propose an information-based model for network dynamics in which imperfect information leads to networks where the different vertices have widely different number of edges to other vertices, and where the topology has hierarchical…

无序系统与神经网络 · 物理学 2007-05-23 Martin Rosvall , Kim Sneppen

Most networks encountered in nature, society, and technology have weighted edges, representing the strength of the interaction/association between their vertices. Randomizing the structure of a network is a classic procedure used to…

物理与社会 · 物理学 2025-10-29 Filipi N. Silva , Sadamori Kojaku , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

We model information traffic on scale-free networks by introducing the bandwidth as the delivering ability of links. We focus on the effects of bandwidth on the packet delivering ability of the traffic system to better understand traffic…

物理与社会 · 物理学 2009-11-13 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Yong-Hong Wu

For realistic scale-free networks, we investigate the traffic properties of stochastic routing inspired by a zero-range process known in statistical physics. By parameters $\alpha$ and $\delta$, this model controls degree-dependent hopping…

物理与社会 · 物理学 2015-03-17 Yukio Hayashi , Yasumasa Ono

One abstract method for the study of network transportation is proposed in this paper. By interpolating the properties of the edges that constitute network into the two leading parameters of the nodes, this method can abstract the…

适应与自组织系统 · 物理学 2007-05-23 Chang Yun-Feng , Xu Cai

Recently, Watts and Strogatz introduced the so-called small-world networks in order to describe systems which combine simultaneously properties of regular and of random lattices. In this work we study diffusion processes defined on such…

统计力学 · 物理学 2009-10-31 S. Jespersen , I. M. Sokolov , A. Blumen

Inspired by studies on airline networks we propose a general model for weighted networks in which topological growth and weight dynamics are both determined by cost adversarial mechanism. Since transportation networks are designed and…

物理与社会 · 物理学 2007-12-10 Yihong Hu , Daoli Zhu , Yang Li , Bing Su , Bingxin Zhu

With the current trend towards low Earth orbit mega-constellations with inter-satellite links, efficient routing in such highly dynamic space-borne networks is becoming increasingly important. Due to the distinct network topology,…

网络与互联网体系结构 · 计算机科学 2022-09-14 Manuel M. H. Roth , Hartmut Brandt , Hermann Bischl

We consider the problem of balancing load items (tokens) in networks. Starting with an arbitrary load distribution, we allow nodes to exchange tokens with their neighbors in each round. The goal is to achieve a distribution where all nodes…

离散数学 · 计算机科学 2015-03-20 Thomas Sauerwald , He Sun

Small world models are networks consisting of many local links and fewer long range `shortcuts'. In this paper, we consider some particular instances, and rigorously investigate the distribution of their inter--point network distances. Our…

无序系统与神经网络 · 物理学 2007-05-23 A. D. Barbour , Gesine Reinert

The packet is the fundamental unit of transportation in modern communication networks such as the Internet. Physical layer scheduling decisions are made at the level of packets, and packet-level models with exogenous arrival processes have…

网络与互联网体系结构 · 计算机科学 2010-03-05 Ciamac Moallemi , Devavrat Shah

We introduce the concept of communicability angle between a pair of nodes in a graph. We provide strong analytical and empirical evidence that the average communicability angle for a given network accounts for its spatial efficiency on the…

物理与社会 · 物理学 2015-07-30 Ernesto Estrada , Naomichi Hatano

Many complex networks are only a part of larger systems, where a number of coexisting topologies interact and depend on each other. We introduce a layered model to facilitate the description and analysis of such systems. As an example of…

物理与社会 · 物理学 2007-05-23 Maciej Kurant , Patrick Thiran

We study message transport on a $1-d$ ring of nodes and randomly distributed hubs. Messages are deposited on the network at a constant rate. When the rate at which messages are deposited on the lattice is very high, messages start…

统计力学 · 物理学 2009-10-20 Satyam Mukherjee , Gautam Mukherjee , Neelima Gupte

This paper considers optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network to lie in…

多智能体系统 · 计算机科学 2020-04-22 Roula Nassif , Stefan Vlaski , Ali H. Sayed