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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

A visualized graph is a powerful tool for data analysis and synthesis tasks. In this case, the task of visualization constitutes not only in displaying vertices and edges according to the graph representation, but also in ensuring that the…

组合数学 · 数学 2024-08-01 Sergey Kurapov , Maxim Davidovsky

Time series modeling has attracted extensive research efforts; however, achieving both reliable efficiency and interpretability from a unified model still remains a challenging problem. Among the literature, shapelets offer interpretable…

机器学习 · 计算机科学 2020-12-01 Ziqiang Cheng , Yang Yang , Wei Wang , Wenjie Hu , Yueting Zhuang , Guojie Song

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

Understanding the training dynamics of deep neural networks (DNNs) is important as it can lead to improved training efficiency and task performance. Recent works have demonstrated that representing the wirings of static graph cannot capture…

机器学习 · 计算机科学 2023-02-22 Fatemeh Vahedian , Ruiyu Li , Puja Trivedi , Di Jin , Danai Koutra

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

机器学习 · 计算机科学 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

Many real-world systems, such as social networks, rely on mining efficiently large graphs, with hundreds of millions of vertices and edges. This volume of information requires partitioning the graph across multiple nodes in a distributed…

分布式、并行与集群计算 · 计算机科学 2013-09-11 Luis Vaquero , Felix Cuadrado , Dionysios Logothetis , Claudio Martella

With the proliferation of temporal graph data, there is a growing demand for analyzing information propagation patterns during graph evolution. Existing graph analysis systems, mostly based on static snapshots, struggle to effectively…

数据库 · 计算机科学 2025-12-30 Jiacheng Ding , Cong Guo , Xiaofei Zhang

Consider two planar graphs which are subject to edge insertions and deletions. We show that whether the two graphs are isomorphic can be maintained with first-order logic formulas and auxiliary data of polynomial size. This places the…

计算机科学中的逻辑 · 计算机科学 2026-04-27 Samir Datta , Asif Khan , Felix Tschirbs , Nils Vortmeier , Thomas Zeume

We study dynamic algorithms in the model of algorithms with predictions. We assume the algorithm is given imperfect predictions regarding future updates, and we ask how such predictions can be used to improve the running time. This can be…

数据结构与算法 · 计算机科学 2023-12-11 Jan van den Brand , Sebastian Forster , Yasamin Nazari , Adam Polak

We propose a non-parametric link prediction algorithm for a sequence of graph snapshots over time. The model predicts links based on the features of its endpoints, as well as those of the local neighborhood around the endpoints. This allows…

机器学习 · 计算机科学 2012-07-03 Purnamrita Sarkar , Deepayan Chakrabarti , Michael Jordan

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

机器学习 · 计算机科学 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

This paper introduces a novel technique to track structures in time evolving graphs. The method is based on a parameter free approach for three-dimensional co-clustering of the source vertices, the target vertices and the time. All these…

机器学习 · 计算机科学 2013-01-15 Romain Guigourès , Marc Boullé , Fabrice Rossi

Efficient layout of large-scale graphs remains a challenging problem: the force-directed and dimensionality reduction-based methods suffer from high overhead for graph distance and gradient computation. In this paper, we present a new graph…

社会与信息网络 · 计算机科学 2020-08-19 Minfeng Zhu , Wei Chen , Yuanzhe Hu , Yuxuan Hou , Liangjun Liu , Kaiyuan Zhang

The purpose of this paper is to infer a global (collective) model of time-varying responses of a set of nodes as a dynamic graph, where the individual time series are respectively observed at each of the nodes. The motivation of this work…

信号处理 · 电气工程与系统科学 2020-02-18 Bo Jiang , Ashkan Panahi , Hamid Krim , Yiyi Yu , Spencer L. Smith

A dynamical system of points moving along the edges of a graph could be considered as a geometrical discrete dynamical system or as a discrete version of a quantum graph with localized wave packets. We study the set of such systems over…

离散数学 · 计算机科学 2022-01-11 Leonid W. Dworzanski

In directed graphs, a cycle can be seen as a structure that allows its vertices to loop back to themselves, or as a structure that allows pairs of vertices to reach each other through distinct paths. We extend these concepts to temporal…

计算复杂性 · 计算机科学 2025-03-05 Davi de Andrade , Júlio Araújo , Allen Ibiapina , Andrea Marino , Jason Schoeters , Ana Silva

In this work, we introduce a filtration on temporal graphs based on $\delta$-temporal motifs (recurrent subgraphs), yielding a multi-scale representation of temporal structure. Our temporal filtration allows tools developed for filtered…

机器学习 · 计算机科学 2025-12-04 Samrik Chowdhury , Siddharth Pritam , Rohit Roy , Madhav Cherupilil Sajeev

The paper presents structures and techniques aimed towards co-designing scalable asynchronous and decentralized dynamic graph processing for fine-grain memory-driven architectures. It uses asynchronous active messages, in the form of…

分布式、并行与集群计算 · 计算机科学 2024-06-04 Bibrak Qamar Chandio , Maciej Brodowicz , Thomas Sterling

Real-world graphs often manifest as a massive temporal stream of edges. The need for real-time analysis of such large graph streams has led to progress on low memory, one-pass streaming graph algorithms. These algorithms were designed for…

数据结构与算法 · 计算机科学 2014-10-16 Madhav Jha , C. Seshadhri , Ali Pinar