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Network motif analysis is a useful tool for the investigation of complex networks. We study the profiles of tetradic motifs in horizontal visibility graphs (HVGs) converted from multifractal binomial measures, fractional Gaussian noises,…

Physics and Society · Physics 2019-02-04 Wen-Jie Xie , Rui-Qi Han , Wei-Xing Zhou

In this work we provide a new technique to design fast approximation algorithms for graph problems where the points of the graph lie in a metric space. Specifically, we present a sampling approach for such metric graphs that, using a…

Data Structures and Algorithms · Computer Science 2018-07-26 Hossein Esfandiari , Michael Mitzenmacher

We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

Data Structures and Algorithms · Computer Science 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

We study smoothed analysis of distributed graph algorithms, focusing on the fundamental minimum spanning tree (MST) problem. With the goal of studying the time complexity of distributed MST as a function of the "perturbation" of the input…

Data Structures and Algorithms · Computer Science 2019-11-11 Soumyottam Chatterjee , Gopal Pandurangan , Nguyen Dinh Pham

Temporal random walks, which sample causality-preserving paths, are widely used to analyze time-stamped interactions in domains such as microservices, finance, and online platforms. Generating such walks at scale is challenging because…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-18 Md Ashfaq Salehin , George Parisis , Luc Berthouze

We study a family of pattern-detection problems in vertex-colored temporal graphs. In particular, given a vertex-colored temporal graph and a multiset of colors as a query, we search for temporal paths in the graph that contain the colors…

Data Structures and Algorithms · Computer Science 2020-07-28 Suhas Thejaswi , Aristides Gionis , Juho Lauri

Many time series, particularly health data streams, can be best understood as a sequence of phenomenon or events, which we call \textit{motifs}. A time series motif is a short trace segment which may implicitly capture an underlying…

Machine Learning · Computer Science 2025-05-26 Josephine Lamp , Mark Derdzinski , Christopher Hannemann , Sam Hatfield , Joost van der Linden

In the standard CONGEST model for distributed network computing, it is known that "global" tasks such as minimum spanning tree, diameter, and all-pairs shortest paths, consume large bandwidth, for their running-time is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-14 Pierre Fraigniaud , Pedro Montealegre , Dennis Olivetti , Ivan Rapaport , Ioan Todinca

The identification of motifs--subgraphs that appear significantly more often in a particular network than in an ensemble of randomized networks--has become a ubiquitous method for uncovering potentially important subunits within networks…

Molecular Networks · Quantitative Biology 2010-08-27 Reid Ginoza , Andrew Mugler

Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method to decompose a temporal network into macroscale components…

Social and Information Networks · Computer Science 2018-08-16 Andrew Mellor

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

Machine Learning · Computer Science 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

Many real-world systems exhibit temporal, dynamic behaviors, which are captured as time series of complex agent interactions. To perform temporal reasoning, current methods primarily encode temporal dynamics through simple sequence-based…

Machine Learning · Computer Science 2024-01-09 Paridhi Maheshwari , Hongyu Ren , Yanan Wang , Rok Sosic , Jure Leskovec

One of the most common approaches to the analysis of dynamic networks is through time-window aggregation. The resulting representation is a sequence of static networks, i.e. the snapshot graph. Despite this representation being widely used…

Social and Information Networks · Computer Science 2021-12-07 Alessandro Chiappori , Rémy Cazabet

Estimating the frequency of sub-graphs is of importance for many tasks, including sub-graph isomorphism, kernel-based anomaly detection, and network structure analysis. While multiple algorithms were proposed for full enumeration or…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-28 Itay Levinas , Roy Scherz , Yoram Louzoun

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

Time series forecasting lies at the core of important real-world applications in many fields of science and engineering. The abundance of large time series datasets that consist of complex patterns and long-term dependencies has led to the…

Machine Learning · Computer Science 2023-12-01 Nancy Xu , Chrysoula Kosma , Michalis Vazirgiannis

Modeling evolving interactions among entities is critical in many real-world tasks. For example, predicting driver maneuvers in traffic requires tracking how neighboring vehicles accelerate, brake, and change lanes relative to one another…

Artificial Intelligence · Computer Science 2025-09-23 Osama Mohammed , Jiaxin Pan , Mojtaba Nayyeri , Daniel Hernández , Steffen Staab

Temporal networks model a variety of important phenomena involving timed interactions between entities. Existing methods for machine learning on temporal networks generally exhibit at least one of two limitations. First, time is assumed to…

Machine Learning · Computer Science 2022-10-04 Sudhanshu Chanpuriya , Ryan A. Rossi , Sungchul Kim , Tong Yu , Jane Hoffswell , Nedim Lipka , Shunan Guo , Cameron Musco

Temporal graphs are graphs where the topology and/or other properties of the graph change with time. They have been used to model applications with temporal information in various domains. Problems on static graphs become more challenging…

Data Structures and Algorithms · Computer Science 2022-02-02 Subhrangsu Mandal , Arobinda Gupta

Community detection is a central task in graph analytics. Given the substantial growth in graph size, scalability in community detection continues to be an unresolved challenge. Recently, alongside established methods like Louvain and…

Social and Information Networks · Computer Science 2024-12-18 Tianyi Chen , Charalampos E. Tsourakakis