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In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

Machine Learning · Computer Science 2021-09-07 Junran Wu , Jianhao Li , Yicheng Pan , Ke Xu

Interpretable Graph Neural Networks (GNNs) aim to reveal the underlying reasoning behind model predictions, attributing their decisions to specific subgraphs that are informative. However, existing subgraph-based interpretable methods…

Machine Learning · Computer Science 2025-05-02 Jie Yang , Yuwen Wang , Kaixuan Chen , Tongya Zheng , Yihe Zhou , Zhenbang Xiao , Ji Cao , Mingli Song , Shunyu Liu

Estimating similarity between vertices is a fundamental issue in network analysis across various domains, such as social networks and biological networks. Methods based on common neighbors and structural contexts have received much…

Social and Information Networks · Computer Science 2015-04-14 Jing Zhang , Jie Tang , Cong Ma , Hanghang Tong , Yu Jing , Juanzi Li

Graph learning is currently dominated by graph kernels, which, while powerful, suffer some significant limitations. Convolutional Neural Networks (CNNs) offer a very appealing alternative, but processing graphs with CNNs is not trivial. To…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Antoine Jean-Pierre Tixier , Giannis Nikolentzos , Polykarpos Meladianos , Michalis Vazirgiannis

Many algorithms for ranked data become computationally intractable as the number of objects grows due to the complex geometric structure induced by rankings. An additional challenge is posed by partial rankings, i.e. rankings in which the…

Machine Learning · Computer Science 2022-07-19 Michelangelo Conserva , Marc Peter Deisenroth , K S Sesh Kumar

In this survey, we explore recent literature on finding the cores of higher graphs using geometric and topological means. We study graphs, hypergraphs, and simplicial complexes, all of which are models of higher graphs. We study the notion…

History and Overview · Mathematics 2025-06-30 Inés García-Redondo , Claudia Landi , Sarah Percival , Anda Skeja , Bei Wang , Ling Zhou

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…

Machine Learning · Computer Science 2024-04-16 Sonny Achten , Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

The isomorphism problem is a fundamental problem in network analysis, which involves capturing both low-order and high-order structural information. In terms of extracting low-order structural information, graph isomorphism algorithms…

Data Structures and Algorithms · Computer Science 2023-07-28 Yifan Feng , Jiashu Han , Shihui Ying , Yue Gao

Recent advancements in vision models have greatly improved their ability to handle complex chart understanding tasks, like chart captioning and question answering. However, it remains challenging to assess how these models process charts.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-31 Soohyun Lee , Minsuk Chang , Seokhyeon Park , Jinwook Seo

Feature pyramids have been proven powerful in image understanding tasks that require multi-scale features. State-of-the-art methods for multi-scale feature learning focus on performing feature interactions across space and scales using…

Computer Vision and Pattern Recognition · Computer Science 2022-01-12 Gangming Zhao , Weifeng Ge , Yizhou Yu

Graph classification is a challenging problem owing to the difficulty in quantifying the similarity between graphs or representing graphs as vectors, though there have been a few methods using graph kernels or graph neural networks (GNNs).…

Machine Learning · Computer Science 2024-08-22 Zixiao Wang , Jicong Fan

The problem of graph learning concerns the construction of an explicit topological structure revealing the relationship between nodes representing data entities, which plays an increasingly important role in the success of many graph-based…

Machine Learning · Statistics 2021-10-20 Xingyue Pu , Siu Lun Chau , Xiaowen Dong , Dino Sejdinovic

With the growing adoption of AI-based systems across everyday life, the need to understand their decision-making mechanisms is correspondingly increasing. The level at which we can trust the statistical inferences made from AI-based…

Machine Learning · Statistics 2024-04-15 Adam Spannaus , Heidi A. Hanson , Lynne Penberthy , Georgia Tourassi

Graph convolutional networks (GCNs) have been very successful in skeleton-based human action recognition where the sequence of skeletons is modeled as a graph. However, most of the GCN-based methods in this area train a deep feed-forward…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Negar Heidari , Alexandros Iosifidis

The use of kernels for nonlinear prediction is widespread in machine learning. They have been popularized in support vector machines and used in kernel ridge regression, amongst others. Kernel methods share three aspects. First, instead of…

Machine Learning · Statistics 2025-08-25 Patrick J. F. Groenen , Michael Greenacre

In this work, we develop an Aligned Entropic Reproducing Kernel (AERK) for graph classification. We commence by performing the Continuous-time Quantum Walk (CTQW) on each graph structure, and computing the Averaged Mixing Matrix (AMM) to…

Machine Learning · Computer Science 2023-03-08 Lixin Cui , Ming Li , Yue Wang , Lu Bai , Edwin R. Hancock

Graph contrastive learning (GCL) aims to align the positive features while differentiating the negative features in the latent space by minimizing a pair-wise contrastive loss. As the embodiment of an outstanding discriminative unsupervised…

Machine Learning · Computer Science 2023-12-27 Jiangmeng Li , Yifan Jin , Hang Gao , Wenwen Qiang , Changwen Zheng , Fuchun Sun

Graph contrastive learning (GCL) has emerged as a promising approach to enhance graph neural networks' (GNNs) ability to learn rich representations from unlabeled graph-structured data. However, current GCL models face challenges with…

Machine Learning · Computer Science 2025-03-11 Yujia Wu , Junyi Mo , Elynn Chen , Yuzhou Chen

The lack of anisotropic kernels in graph neural networks (GNNs) strongly limits their expressiveness, contributing to well-known issues such as over-smoothing. To overcome this limitation, we propose the first globally consistent…

Machine Learning · Computer Science 2021-04-09 Dominique Beaini , Saro Passaro , Vincent Létourneau , William L. Hamilton , Gabriele Corso , Pietro Liò

We study fast algorithms for computing fundamental properties of a positive semidefinite kernel matrix $K \in \mathbb{R}^{n \times n}$ corresponding to $n$ points $x_1,\ldots,x_n \in \mathbb{R}^d$. In particular, we consider estimating the…

Data Structures and Algorithms · Computer Science 2021-06-21 Arturs Backurs , Piotr Indyk , Cameron Musco , Tal Wagner