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Topological features based on persistent homology capture high-order structural information so as to augment graph neural network methods. However, computing extended persistent homology summaries remains slow for large and dense graphs and…

机器学习 · 计算机科学 2022-11-16 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Yusu Wang , Chao Chen

Graph Neural Networks (GNNs) have recently emerged as a promising approach to tackling power allocation problems in wireless networks. Since unpaired transmitters and receivers are often spatially distant, the distance-based threshold is…

信息论 · 计算机科学 2024-06-04 Lili Chen , Jingge Zhu , Jamie Evans

Graph Neural Networks (GNNs), originally proposed for node classification, have also motivated many recent works on edge prediction (a.k.a., link prediction). However, existing methods lack elaborate design regarding the distinctions…

机器学习 · 计算机科学 2024-01-24 Jiarui Jin , Yangkun Wang , Weinan Zhang , Quan Gan , Xiang Song , Yong Yu , Zheng Zhang , David Wipf

Deep neural networks are ubiquitously adopted in many applications, such as computer vision, natural language processing, and graph analytics. However, well-trained neural networks can make prediction errors after deployment as the world…

机器学习 · 计算机科学 2024-10-29 Zhimeng Jiang , Zirui Liu , Xiaotian Han , Qizhang Feng , Hongye Jin , Qiaoyu Tan , Kaixiong Zhou , Na Zou , Xia Hu

We propose a new method for embedding graphs while preserving directed edge information. Learning such continuous-space vector representations (or embeddings) of nodes in a graph is an important first step for using network information…

机器学习 · 计算机科学 2017-09-15 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

数据结构与算法 · 计算机科学 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

Low-dimensional representations, or embeddings, of a graph's nodes facilitate several practical data science and data engineering tasks. As such embeddings rely, explicitly or implicitly, on a similarity measure among nodes, they require…

Suppose a finite, unweighted, combinatorial graph $G = (V,E)$ is the union of several (degree-)regular graphs which are then additionally connected with a few additional edges. $G$ will then have only a small number of vertices $v \in V$…

组合数学 · 数学 2023-10-25 Tony Zeng

The MEG (minimum equivalent graph) problem is, given a directed graph, to find a small subset of the edges that maintains all reachability relations between nodes. The problem is NP-hard. This paper gives an approximation algorithm with…

数据结构与算法 · 计算机科学 2015-06-02 Samir Khuller , Balaji Raghavachari , Neal E. Young

In this paper, we propose a new type of graph, denoted as "embedded-graph", and its theory, which employs a distributed representation to describe the relations on the graph edges. Embedded-graphs can express linguistic and complicated…

离散数学 · 计算机科学 2017-09-15 Atsushi Yokoyama

Metric learning has the aim to improve classification accuracy by learning a distance measure which brings data points from the same class closer together and pushes data points from different classes further apart. Recent research has…

机器学习 · 计算机科学 2018-07-17 Benjamin Paaßen , Claudio Gallicchio , Alessio Micheli , Barbara Hammer

With the exponential growth of Internet of Things (IoT) devices, edge computing (EC) is gradually playing an important role in providing cost-effective services. However, existing approaches struggle to perform well in graph-structured…

机器学习 · 计算机科学 2025-04-23 Wenjing Xiao , Chenglong Shi , Miaojiang Chen , Zhiquan Liu , Min Chen , H. Herbert Song

How can we accurately classify graphs? Graph classification is a pivotal task in data mining with applications in social network analysis, web analysis, drug discovery, molecular property prediction, etc. Graph neural networks have achieved…

机器学习 · 计算机科学 2025-03-28 Minjun Kim , Jaehyeon Choi , SeungJoo Lee , Jinhong Jung , U Kang

Edit distance, also known as Levenshtein distance, is an essential way to compare two strings that proved to be particularly useful in the analysis of genetic sequences and natural language processing. However, edit distance is a discrete…

机器学习 · 计算机科学 2019-04-30 Evgenii Ofitserov , Vasily Tsvetkov , Vadim Nazarov

How efficiently can we find an unknown graph using distance or shortest path queries between its vertices? Let $G = (V,E)$ be an unweighted, connected graph of bounded degree. The edge set $E$ is initially unknown, and the graph can be…

数据结构与算法 · 计算机科学 2015-02-19 Sampath Kannan , Claire Mathieu , Hang Zhou

We present Graph Random Neural Features (GRNF), a novel embedding method from graph-structured data to real vectors based on a family of graph neural networks. The embedding naturally deals with graph isomorphism and preserves the metric…

机器学习 · 计算机科学 2020-06-03 Daniele Zambon , Cesare Alippi , Lorenzo Livi

Graph comparison is a fundamental operation in data mining and information retrieval. Due to the combinatorial nature of graphs, it is hard to balance the expressiveness of the similarity measure and its scalability. Spectral analysis…

社会与信息网络 · 计算机科学 2020-03-04 Anton Tsitsulin , Marina Munkhoeva , Bryan Perozzi

With a long history of traditional Graph Anomaly Detection (GAD) algorithms and recently popular Graph Neural Networks (GNNs), it is still not clear (1) how they perform under a standard comprehensive setting, (2) whether GNNs can…

机器学习 · 计算机科学 2023-11-17 Jianheng Tang , Fengrui Hua , Ziqi Gao , Peilin Zhao , Jia Li

Graph, as an important data representation, is ubiquitous in many real world applications ranging from social network analysis to biology. How to correctly and effectively learn and extract information from graph is essential for a large…

机器学习 · 计算机科学 2020-10-27 Xiaodong Jiang , Ronghang Zhu , Pengsheng Ji , Sheng Li

We consider linear network error correction (LNEC) coding when errors may occur on edges of a communication network of which the topology is known. In this paper, we first revisit and explore the framework of LNEC coding, and then unify two…

信息论 · 计算机科学 2021-03-16 Xuan Guang , Raymond W. Yeung
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