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Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

机器学习 · 统计学 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a…

社会与信息网络 · 计算机科学 2015-08-07 Marc Boullé

Discrete event sequences serve as models for numerous real-world datasets, including publications over time, project milestones, and medication dosing during patient treatments. These event sequences typically exhibit bursty behavior, where…

人机交互 · 计算机科学 2025-07-24 Yuet Ling Wong , Niklas Elmqvist

The sparsest cut problem consists of identifying a small set of edges that breaks the graph into balanced sets of vertices. The normalized cut problem balances the total degree, instead of the size, of the resulting sets. Applications of…

社会与信息网络 · 计算机科学 2017-02-17 Arlei Silva , Ambuj Singh , Ananthram Swami

A fundamental challenge in graph mining is the ever-increasing size of datasets. Graph summarization aims to find a compact representation resulting in faster algorithms and reduced storage needs. The flip side of graph summarization is the…

数据结构与算法 · 计算机科学 2020-06-17 Mahdi Hajiabadi , Jasbir Singh , Venkatesh Srinivasan , Alex Thomo

In temporal ( event-based ) networks, time is a continuous axis, with real-valued time coordinates for each node and edge. Computing a layout for such graphs means embedding the node trajectories and edge surfaces over time in a 2D+t space,…

人机交互 · 计算机科学 2024-12-13 Velitchko Filipov , Davide Ceneda , Daniel Archambault , Alessio Arleo

Temporal graphs are graphs whose topology is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph is represented by assigning a set of integer time-labels to every edge $e$ of $G$, indicating the…

离散数学 · 计算机科学 2020-09-30 George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Viktor Zamaraev , Philipp Zschoche

The visualization of hierarchically structured data over time is an ongoing challenge and several approaches exist trying to solve it. Techniques such as animated or juxtaposed tree visualizations are not capable of providing a good…

图形学 · 计算机科学 2020-02-11 Fabian Bolte , Mahsan Nourani , Eric D. Ragan , Stefan Bruckner

This paper considers the problem of distributed optimization over time-varying graphs. For the case of undirected graphs, we introduce a distributed algorithm, referred to as DIGing, based on a combination of a distributed inexact gradient…

最优化与控制 · 数学 2017-03-21 Angelia Nedich , Alex Olshevsky , Wei Shi

Dynamic or temporal networks enable representation of time-varying edges between nodes. Conventional adjacency-based data structures used for storing networks such as adjacency lists were designed without incorporating time and can thus…

社会与信息网络 · 计算机科学 2022-06-24 Tanner Hilsabeck , Makan Arastuie , Kevin S. Xu

Evolving trees arise in many real-life scenarios from computer file systems and dynamic call graphs, to fake news propagation and disease spread. Most layout algorithms for static trees do not work well in an evolving setting (e.g., they…

计算几何 · 计算机科学 2022-08-29 Kathryn Gray , Mingwei Li , Reyan Ahmed , Stephen Kobourov

Unsupervised representation learning for dynamic graphs has attracted a lot of research attention in recent years. Compared with static graph, the dynamic graph is a comprehensive embodiment of both the intrinsic stable characteristics of…

社会与信息网络 · 计算机科学 2023-08-17 Kaike Zhang , Qi Cao , Gaolin Fang , Bingbing Xu , Hongjian Zou , Huawei Shen , Xueqi Cheng

A natural approach to analyze interaction data of form "what-connects-to-what-when" is to create a time-series (or rather a sequence) of graphs through temporal discretization (bandwidth selection) and spatial discretization (vertex…

机器学习 · 统计学 2015-01-13 Nam H. Lee , Carey Priebe , Youngser Park , I-Jeng Wang , Michael Rosen

Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

机器学习 · 计算机科学 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

Dynamic graphs refer to graphs whose structure dynamically changes over time. Despite the benefits of learning vertex representations (i.e., embeddings) for dynamic graphs, existing works merely view a dynamic graph as a sequence of changes…

机器学习 · 计算机科学 2023-11-02 Yu Yang , Hongzhi Yin , Jiannong Cao , Tong Chen , Quoc Viet Hung Nguyen , Xiaofang Zhou , Lei Chen

Dynamically changing graphs are used in many applications of graph algorithms. The scope of these graphs are in graphics, communication networks and in VLSI designs where graphs are subjected to change, such as addition and deletion of…

数据结构与算法 · 计算机科学 2012-10-01 Megha Tyagi , Deepak Garg

Data analysts often need to work with multiple series of data---conventionally shown as line charts---at once. Few visual representations allow analysts to view many lines simultaneously without becoming overwhelming or cluttered. In this…

人机交互 · 计算机科学 2018-09-07 Dominik Moritz , Danyel Fisher

The graph isomorphism problem is a main problem which has numerous applications in different fields. Thus, finding an efficient and easy to implement method to discriminate non-isomorphic graphs is valuable. In this paper, a new method is…

组合数学 · 数学 2016-11-08 Ameneh Farhadian

Graph-based models form a fundamental aspect of data representation in Data Sciences and play a key role in modeling complex networked systems. In particular, recently there is an ever-increasing interest in modeling dynamic complex…

数据结构与算法 · 计算机科学 2015-09-18 Klaus Wehmuth , Artur Ziviani , Eric Fleury

Undirected graphs are often used to describe high dimensional distributions. Under sparsity conditions, the graph can be estimated using $\ell_1$ penalization methods. However, current methods assume that the data are independent and…

机器学习 · 统计学 2008-04-29 Shuheng Zhou , John Lafferty , Larry Wasserman