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While graph kernels (GKs) are easy to train and enjoy provable theoretical guarantees, their practical performances are limited by their expressive power, as the kernel function often depends on hand-crafted combinatorial features of…

Machine Learning · Computer Science 2019-11-05 Simon S. Du , Kangcheng Hou , Barnabás Póczos , Ruslan Salakhutdinov , Ruosong Wang , Keyulu Xu

Causal graphs are commonly used to understand and model complex systems. Researchers often construct these graphs from different perspectives, leading to significant variations for the same problem. Comparing causal graphs is, therefore,…

Machine Learning · Computer Science 2025-03-17 Ning-Yuan Georgia Liu , Flower Yang , Mohammad S. Jalali

Decision forests induce supervised similarities through the partition structure of their trees. Yet forest proximity computation is still often treated as a quadratic operation in the number of samples, which limits scalability and…

Machine Learning · Computer Science 2026-04-21 Adrien Aumon , Guy Wolf , Kevin R. Moon , Jake S. Rhodes

Graph kernels are conventional methods for computing graph similarities. However, the existing R-convolution graph kernels cannot resolve both of the two challenges: 1) Comparing graphs at multiple different scales, and 2) Considering the…

Machine Learning · Computer Science 2024-05-14 Wei Ye , Hao Tian , Qijun Chen

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…

Social and Information Networks · Computer Science 2020-03-04 Anton Tsitsulin , Marina Munkhoeva , Bryan Perozzi

The rapidly growing number of large network analysis problems has led to the emergence of many parallel and distributed graph processing systems---one survey in 2014 identified over 80. Since then, the landscape has evolved; some packages…

Performance · Computer Science 2017-05-18 Samuel Pollard , Boyana Norris

iGraphMatch is an R package for finding corresponding vertices between two graphs, also known as graph matching. The package implements three categories of prevalent graph matching algorithms including relaxation-based, percolation-based,…

Computation · Statistics 2021-12-20 Zihuan Qiao , Daniel Sussman

Measuring similarity between incomplete data is a fundamental challenge in web mining, recommendation systems, and user behavior analysis. Traditional approaches either discard incomplete data or perform imputation as a preprocessing step,…

Machine Learning · Computer Science 2025-10-16 Yang Cao , Sikun Yang , Kai He , Wenjun Ma , Ming Liu , Yujiu Yang , Jian Weng

Graph neural networks (GNNs) are among the most powerful tools in deep learning. They routinely solve complex problems on unstructured networks, such as node classification, graph classification, or link prediction, with high accuracy.…

Machine Learning · Computer Science 2023-08-21 Maciej Besta , Torsten Hoefler

A kernel of a directed graph is a subset of vertices that is both independent and absorbing (every vertex not in the kernel has an out-neighbour in the kernel). Not all directed graphs contain kernels, and computing a kernel or deciding…

Discrete Mathematics · Computer Science 2024-05-20 Bruno Jartoux

We introduce GSimCNN (Graph Similarity Computation via Convolutional Neural Networks) for predicting the similarity score between two graphs. As the core operation of graph similarity search, pairwise graph similarity computation is a…

Machine Learning · Computer Science 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Experimental reproducibility and replicability are critical topics in machine learning. Authors have often raised concerns about their lack in scientific publications to improve the quality of the field. Recently, the graph representation…

Machine Learning · Computer Science 2022-02-21 Federico Errica , Marco Podda , Davide Bacciu , Alessio Micheli

While contrastive self-supervised learning has become the de-facto learning paradigm for graph neural networks, the pursuit of higher task accuracy requires a larger hidden dimensionality to learn informative and discriminative…

Neural and Evolutionary Computing · Computer Science 2024-02-20 Jintang Li , Huizhe Zhang , Ruofan Wu , Zulun Zhu , Baokun Wang , Changhua Meng , Zibin Zheng , Liang Chen

Inspired by a growing interest in analyzing network data, we study the problem of node classification on graphs, focusing on approaches based on kernel machines. Conventionally, kernel machines are linear classifiers in the implicit feature…

Machine Learning · Statistics 2010-01-25 Xiao Tang , Mu Zhu

In many applications involving multi-media data, the definition of similarity between items is integral to several key tasks, e.g., nearest-neighbor retrieval, classification, and recommendation. Data in such regimes typically exhibits…

Artificial Intelligence · Computer Science 2010-09-01 Brian McFee , Gert Lanckriet

The recent emergence of contrastive learning approaches facilitates the application on graph representation learning (GRL), introducing graph contrastive learning (GCL) into the literature. These methods contrast semantically similar and…

Machine Learning · Computer Science 2022-06-03 Ganqu Cui , Yufeng Du , Cheng Yang , Jie Zhou , Liang Xu , Xing Zhou , Xingyi Cheng , Zhiyuan Liu

The classical development of neural networks has been primarily for mappings between a finite-dimensional Euclidean space and a set of classes, or between two finite-dimensional Euclidean spaces. The purpose of this work is to generalize…

Recently, there has been a surge of interest in employing neural networks for graph generation, a fundamental statistical learning problem with critical applications like molecule design and community analysis. However, most approaches…

Machine Learning · Computer Science 2024-07-31 Yunhui Jang , Seul Lee , Sungsoo Ahn

We propose a spherical kernel for efficient graph convolution of 3D point clouds. Our metric-based kernels systematically quantize the local 3D space to identify distinctive geometric relationships in the data. Similar to the regular grid…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Huan Lei , Naveed Akhtar , Ajmal Mian

In this paper, we introduce PASGAL (Parallel And Scalable Graph Algorithm Library), a parallel graph library that scales to a variety of graph types, many processors, and large graph sizes. One special focus of PASGAL is the efficiency on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-29 Xiaojun Dong , Yan Gu , Yihan Sun , Letong Wang