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The asynchronous rumor algorithm spreading propagates a piece of information, the so-called rumor, in a network. Starting with a single informed node, each node is associated with an exponential time clock with rate $1$ and calls a random…

数据结构与算法 · 计算机科学 2020-05-19 Ali Pourmiri , Bernard Mans

Kernels on graphs have had limited options for node-level problems. To address this, we present a novel, generalized kernel for graphs with node feature data for semi-supervised learning. The kernel is derived from a regularization…

机器学习 · 计算机科学 2022-11-29 Yin-Cong Zhi , Felix L. Opolka , Yin Cheng Ng , Pietro Liò , Xiaowen Dong

Graph is a prevalent discrete data structure, whose generation has wide applications such as drug discovery and circuit design. Diffusion generative models, as an emerging research focus, have been applied to graph generation tasks.…

机器学习 · 计算机科学 2024-11-05 Zhe Xu , Ruizhong Qiu , Yuzhong Chen , Huiyuan Chen , Xiran Fan , Menghai Pan , Zhichen Zeng , Mahashweta Das , Hanghang Tong

In this paper, we introduce Temporal Multiresolution Graph Neural Networks (TMGNN), the first architecture that both learns to construct the multiscale and multiresolution graph structures and incorporates the time-series signals to capture…

机器学习 · 计算机科学 2022-06-30 Truong Son Hy , Viet Bach Nguyen , Long Tran-Thanh , Risi Kondor

Networks representing social, biological, technological or other systems are often characterized by higher-order interaction involving any number of nodes. Temporal hypergraphs are given by ordered sequences of hyperedges representing sets…

物理与社会 · 物理学 2026-02-27 Jürgen Lerner , Marian-Gabriel Hâncean , Matjaz Perc

With the advancement of computational network science, its research scope has significantly expanded beyond static graphs to encompass more complex structures. The introduction of streaming, temporal, multilayer, and hypernetwork approaches…

社会与信息网络 · 计算机科学 2024-05-29 Michał Czuba , Mateusz Nurek , Damian Serwata , Yu-Xuan Qiu , Mingshan Jia , Katarzyna Musial , Radosław Michalski , Piotr Bródka

We present graph partition neural networks (GPNN), an extension of graph neural networks (GNNs) able to handle extremely large graphs. GPNNs alternate between locally propagating information between nodes in small subgraphs and globally…

机器学习 · 计算机科学 2018-03-19 Renjie Liao , Marc Brockschmidt , Daniel Tarlow , Alexander L. Gaunt , Raquel Urtasun , Richard Zemel

Representation learning on static graph-structured data has shown a significant impact on many real-world applications. However, less attention has been paid to the evolving nature of temporal networks, in which the edges are often changing…

机器学习 · 计算机科学 2021-08-24 Jing Ma , Qiuchen Zhang , Jian Lou , Li Xiong , Joyce C. Ho

This paper studies semi-supervised graph classification, which is an important problem with various applications in social network analysis and bioinformatics. This problem is typically solved by using graph neural networks (GNNs), which…

机器学习 · 计算机科学 2022-05-24 Wei Ju , Junwei Yang , Meng Qu , Weiping Song , Jianhao Shen , Ming Zhang

We propose a novel perspective on varied-density clustering for high-dimensional data by framing it as a label propagation process in neighborhood graphs that adapt to local density variations. Our method formally connects density-based…

机器学习 · 计算机科学 2025-08-06 Ninh Pham , Yingtao Zheng , Hugo Phibbs

This paper presents a framework for time-causal wavelet analysis. It targets real-time processing of temporal signals, where data from the future are not available. The study builds upon temporal scale-space theory, originating from a…

信号处理 · 电气工程与系统科学 2026-04-21 Tony Lindeberg

Pattern counting in graphs is fundamental to network science tasks, and there are many scalable methods for approximating counts of small patterns, often called motifs, in large graphs. However, modern graph datasets now contain richer…

社会与信息网络 · 计算机科学 2018-10-03 Paul Liu , Austin Benson , Moses Charikar

Dynamic networks, a.k.a. graph streams, consist of a set of vertices and a collection of timestamped interaction events (i.e., temporal edges) between vertices. Temporal motifs are defined as classes of (small) isomorphic induced subgraphs…

统计方法学 · 统计学 2022-02-23 Xiaojing Zhu , Eric D. Kolaczyk

Consider the classical problem of information dissemination: one (or more) nodes in a network have some information that they want to distribute to the remainder of the network. In this paper, we study the cost of information dissemination…

分布式、并行与集群计算 · 计算机科学 2019-12-03 Suman Sourav , Peter Robinson , Seth Gilbert

We propose and unify classes of different models for information propagation over graphs. In a first class, propagation is modelled as a wave which emanates from a set of \emph{known} nodes at an initial time, to all other \emph{unknown}…

数值分析 · 数学 2025-09-10 Oliver R. A. Dunbar , Charles M. Elliott , Lisa Maria Kreusser

We construct and study a class of spectral graph wavelets by analogy with Hermitian wavelets on the real line. We provide a localization result that significantly improves upon those previously available, enabling application to highly…

泛函分析 · 数学 2020-10-05 Zach Gelbaum , Mathew Titus , James Watson

We present a deep Graph Convolutional Kernel Machine (GCKM) for semi-supervised node classification in graphs. The method is built of two main types of blocks: (i) We introduce unsupervised kernel machine layers propagating the node…

机器学习 · 计算机科学 2024-04-16 Sonny Achten , Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

概率论 · 数学 2007-05-23 Jonathan Rowe , Boris Mitavskiy

The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function…

Modern, inherently dynamic systems are usually characterized by a network structure, i.e. an underlying graph topology, which is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph can be represented…

计算复杂性 · 计算机科学 2019-08-13 Eleni C. Akrida , George B. Mertzios , Paul G. Spirakis , Viktor Zamaraev