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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…

Machine Learning · Computer Science 2019-04-30 Evgenii Ofitserov , Vasily Tsvetkov , Vadim Nazarov

In most domains of network analysis researchers consider networks that arise in nature with weighted edges. Such networks are routinely dichotomized in the interest of using available methods for statistical inference with networks. The…

Methodology · Statistics 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

Social and Information Networks · Computer Science 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

Generating realistic graph-structured data is challenging due to discrete structures, variable sizes, and class-specific connectivity patterns that resist conventional generative modelling. While recent graph generation methods employ…

Machine Learning · Computer Science 2026-02-02 Seyedeh Ava Razi Razavi , James Sargant , Sheridan Houghten , Renata Dividino

Subgraph similarity search over large-scale graphs is a fundamental task that retrieves subgraphs similar to a given query graph from a data graph, and it plays a crucial role in real applications such as protein discovery, social network…

Databases · Computer Science 2026-03-03 Qi Wen , Xiang Lian , Nan Zhang , Yutong Ye , Mingsong Chen

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

Databases · Computer Science 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas

The rise of graph representation learning as the primary solution for many different network science tasks led to a surge of interest in the fairness of this family of methods. Link prediction, in particular, has a substantial social…

Machine Learning · Computer Science 2023-02-23 Indro Spinelli , Riccardo Bianchini , Simone Scardapane

The message-passing scheme is the core of graph representation learning. While most existing message-passing graph neural networks (MPNNs) are permutation-invariant in graph-level representation learning and permutation-equivariant in node-…

Machine Learning · Computer Science 2022-11-22 Chang Liu , Yuwen Yang , Yue Ding , Hongtao Lu

Graph Convolutional Networks (GCNs) are widely used to improve recommendation accuracy and performance by effectively learning the representations of user and item nodes. However, two major challenges remain: (1) the lack of further…

Information Retrieval · Computer Science 2025-05-15 Tao Huang , Yihong Chen , Wei Fan , Wei Zhou , Junhao Wen

We present an additive $\varepsilon n^{2}$-approximation algorithm for the Graph Edit Distance problem (GED) on graphs of VC dimension $d$ running in time $n^{O(d/\varepsilon^{2})}$. In particular, this recovers a previous result by Arora,…

Data Structures and Algorithms · Computer Science 2026-04-15 Anatole Dahan , Martin Grohe , Daniel Neuen , Tomáš Novotný

Graph Neural Networks (GNNs) are neural models that leverage the dependency structure in graphical data via message passing among the graph nodes. GNNs have emerged as pivotal architectures in analyzing graph-structured data, and their…

Machine Learning · Computer Science 2024-03-19 Xu Zheng , Farhad Shirani , Tianchun Wang , Wei Cheng , Zhuomin Chen , Haifeng Chen , Hua Wei , Dongsheng Luo

In recent years, powered by the learned discriminative representation via graph neural network (GNN) models, deep graph matching methods have made great progresses in the task of matching semantic features. However, these methods usually…

Computer Vision and Pattern Recognition · Computer Science 2021-11-18 He Liu , Tao Wang , Yidong Li , Congyan Lang , Yi Jin , Haibin Ling

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…

Machine Learning · Computer Science 2025-03-28 Minjun Kim , Jaehyeon Choi , SeungJoo Lee , Jinhong Jung , U Kang

Using gradient descent (GD) with fixed or decaying step-size is a standard practice in unconstrained optimization problems. However, when the loss function is only locally convex, such a step-size schedule artificially slows GD down as it…

Machine Learning · Statistics 2023-02-03 Nhat Ho , Tongzheng Ren , Sujay Sanghavi , Purnamrita Sarkar , Rachel Ward

In massive multi-input multi-output (MIMO) systems, the main bottlenecks of location- and orientation-assisted beam alignment using deep neural networks (DNNs) are large training overhead and significant performance degradation. This paper…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Yuzhu Lei , Qiqi Xiao , Yinghui He , Guanding Yu

Graph Neural Networks (GNNs) are widely used in financial fraud detection due to their excellent ability on handling graph-structured financial data and modeling multilayer connections by aggregating information of neighbors. However, these…

Machine Learning · Computer Science 2024-08-20 Jiaxun Liu , Yue Tian , Guanjun Liu

While a multitude of studies have been conducted on graph drawing, many existing methods only focus on optimizing a single aesthetic aspect of graph layouts, which can lead to sub-optimal results. There are a few existing methods that have…

Machine Learning · Computer Science 2023-08-15 Xiaoqi Wang , Kevin Yen , Yifan Hu , Han-Wei Shen

Graph generative models are a highly active branch of machine learning. Given the steady development of new models of ever-increasing complexity, it is necessary to provide a principled way to evaluate and compare them. In this paper, we…

Machine Learning · Computer Science 2022-03-21 Leslie O'Bray , Max Horn , Bastian Rieck , Karsten Borgwardt

Similarity search is a fundamental task for exploiting information in various applications dealing with graph data, such as citation networks or knowledge graphs. While this task has been intensively approached from heuristics to graph…

Machine Learning · Computer Science 2026-05-12 Daniel Daza , Cuong Xuan Chu , Trung-Kien Tran , Daria Stepanova , Michael Cochez , Paul Groth

Graph Neural Network (GNN) has demonstrated extraordinary performance in classifying graph properties. However, due to the selection bias of training and testing data (e.g., training on small graphs and testing on large graphs, or training…

Machine Learning · Computer Science 2023-08-17 Bin Lu , Xiaoying Gan , Ze Zhao , Shiyu Liang , Luoyi Fu , Xinbing Wang , Chenghu Zhou