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Centrality measures for simple graphs are well-defined and several main-memory algorithms exist for each. Simple graphs are not adequate for modeling complex data sets with multiple entities and relationships. Multilayer networks (MLNs)…

信息论 · 计算机科学 2023-08-15 Hamza Reza Pavel , Abhishek Santra , Sharma Chakravarthy

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

物理与社会 · 物理学 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

Complex networks are ubiquitous to several Computer Science domains. Centrality measures are an important analysis mechanism to uncover vital elements of complex networks. However, these metrics have high computational costs and…

机器学习 · 计算机科学 2018-10-30 Felipe Grando , Lisando Z. Granville , Luis C. Lamb

We address the problem of estimating the running quantile of a data stream when the memory for storing observations is limited. We (i) highlight the limitations of approaches previously described in the literature which make them unsuitable…

数据结构与算法 · 计算机科学 2014-09-26 Ognjen Arandjelovic , Ducson Pham , Svetha Venkatesh

The minimum distance of a code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is a crucial process to many problems in this area. In this paper, we present…

信息论 · 计算机科学 2024-05-01 Fernando Hernando , Francisco D. Igual , Gregorio Quintana-Ortí

There is a growing cross-disciplinary effort in the broad domain of optimization and learning with streams of data, applied to settings where traditional batch optimization techniques cannot produce solutions at time scales that match the…

最优化与控制 · 数学 2021-11-29 Emiliano Dall'Anese , Andrea Simonetto , Stephen Becker , Liam Madden

This paper provides the analysis for structural and functional approaches of complex network systems research. In order to study the behavior of these systems the flow adjacency matrices were introduced, and local and global dynamic…

物理与社会 · 物理学 2018-07-18 Olexandr Polishchuk

The substantial growth of network traffic speed and volume presents practical challenges to network data analysis. Packet thinning and flow aggregation protocols such as NetFlow reduce the size of datasets by providing structured data…

应用统计 · 统计学 2020-09-01 Prosha A. Rahman , Boris Beranger , Matthew Roughan , Scott A. Sisson

Recent development of network structure analysis shows that it plays an important role in characterizing complex system of many branches of sciences. Different from previous network centrality measures, this paper proposes the notion of…

信息检索 · 计算机科学 2009-02-12 Hai Zhuge , Junsheng Zhang

Transportation and distribution networks are a class of spatial networks that have been of interest in recent years. These networks are often characterized by the presence of complex structures such as central loops paired with peripheral…

物理与社会 · 物理学 2023-01-23 Sebastiano Bontorin , Giulia Cencetti , Riccardo Gallotti , Bruno Lepri , Manlio De Domenico

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

物理与社会 · 物理学 2021-03-26 Petter Holme , Jari Saramäki

In this thesis, we explore streaming algorithms for approximating constraint satisfaction problems (CSPs). The setup is roughly the following: A computer has limited memory space, sees a long "stream" of local constraints on a set of…

数据结构与算法 · 计算机科学 2023-04-14 Noah G. Singer

Most real-world networks are embedded in latent geometries. If a node in a network is found in the vicinity of another node in the latent geometry, the two nodes have a disproportionately high probability of being connected by a link. The…

物理与社会 · 物理学 2024-06-19 Bukyoung Jhun

This paper investigates the performance of streaming codes in low-latency applications over a multi-link three-node relayed network. The source wishes to transmit a sequence of messages to the destination through a relay. Each message must…

信息论 · 计算机科学 2022-01-19 Gustavo Kasper Facenda , Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

数据库 · 计算机科学 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

经典物理 · 物理学 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

Temporal networks, defined as sequences of time-aggregated adjacency matrices, sample latent graph dynamics and trace trajectories in graph space. By interpreting each adjacency matrix as a different time snapshot of a scalar field,…

数据分析、统计与概率 · 物理学 2026-02-27 Lucas Lacasa

Matrices associated with graphs, such as the Laplacian, lead to numerous interesting graph problems expressed as linear systems. One field where Laplacian linear systems play a role is network analysis, e. g. for certain centrality measures…

数据结构与算法 · 计算机科学 2020-11-09 Elisabetta Bergamini , Michael Wegner , Dimitar Lukarski , Henning Meyerhenke

Clustering is an important part of many modern data analysis pipelines, including network analysis and data retrieval. There are many different clustering algorithms developed by various communities, and it is often not clear which…

机器学习 · 计算机科学 2019-10-04 Maria-Florina Balcan , Travis Dick , Manuel Lang

Networks are a fundamental tool for modeling complex systems in a variety of domains including social and communication networks as well as biology and neuroscience. Small subgraph patterns in networks, called network motifs, are crucial to…

社会与信息网络 · 计算机科学 2018-01-08 Ashwin Paranjape , Austin R. Benson , Jure Leskovec