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Related papers: KONG: Kernels for ordered-neighborhood graphs

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Many real-world problems can be represented as graph-based learning problems. In this paper, we propose a novel framework for learning spatial and attentional convolution neural networks on arbitrary graphs. Different from previous…

Machine Learning · Computer Science 2019-02-26 Hao Peng , Jianxin Li , Qiran Gong , Senzhang Wang , Yuanxing Ning , Philip S. Yu

In this paper, we develop a new graph kernel, namely the Hierarchical Transitive-Aligned kernel, by transitively aligning the vertices between graphs through a family of hierarchical prototype graphs. Comparing to most existing…

Social and Information Networks · Computer Science 2020-02-12 Lu Bai , Lixin Cui , Edwin R. Hancock

In a directed graph, a kernel is a subset of vertices that is both stable and absorbing. Not all digraphs have a kernel, but a theorem due to Boros and Gurvich guarantees the existence of a kernel in every clique-acyclic orientation of a…

Discrete Mathematics · Computer Science 2018-01-09 Adèle Pass-Lanneau , Ayumi Igarashi , Frédéric Meunier

We present a unified framework to study graph kernels, special cases of which include the random walk graph kernel \citep{GaeFlaWro03,BorOngSchVisetal05}, marginalized graph kernel \citep{KasTsuIno03,KasTsuIno04,MahUedAkuPeretal04}, and…

Machine Learning · Computer Science 2010-11-30 S. V. N. Vishwanathan , Karsten M. Borgwardt , Imre Risi Kondor , Nicol N. Schraudolph

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…

Machine Learning · Computer Science 2022-05-24 Wei Ju , Junwei Yang , Meng Qu , Weiping Song , Jianhao Shen , Ming Zhang

Graph kernels have recently emerged as a promising approach for tackling the graph similarity and learning tasks at the same time. In this paper, we propose a general framework for designing graph kernels. The proposed framework capitalizes…

Machine Learning · Statistics 2018-08-09 Giannis Nikolentzos , Michalis Vazirgiannis

Graph kernels have attracted a lot of attention during the last decade, and have evolved into a rapidly developing branch of learning on structured data. During the past 20 years, the considerable research activity that occurred in the…

Machine Learning · Statistics 2021-11-25 Giannis Nikolentzos , Giannis Siglidis , Michalis Vazirgiannis

Local graph neighborhood sampling is a fundamental computational problem that is at the heart of algorithms for node representation learning. Several works have presented algorithms for learning discrete node embeddings where graph nodes…

Machine Learning · Computer Science 2022-11-29 Konstantin Kutzkov

Most approaches that tackle the problem of node classification consider nodes to be similar, if they have shared neighbors or are close to each other in the graph. Recent methods for attributed graphs additionally take attributes of…

Machine Learning · Computer Science 2018-05-23 Evgeniy Faerman , Felix Borutta , Julian Busch , Matthias Schubert

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

Graph Nerual Networks (GNNs) are effective models in graph embedding. It extracts shallow features and neighborhood information by aggregating neighbor information to learn the embedding representation of different nodes. However, the local…

Social and Information Networks · Computer Science 2023-12-14 Kejia Zhang

Graph kernels based on the $1$-dimensional Weisfeiler-Leman algorithm and corresponding neural architectures recently emerged as powerful tools for (supervised) learning with graphs. However, due to the purely local nature of the…

Data Structures and Algorithms · Computer Science 2020-10-20 Christopher Morris , Gaurav Rattan , Petra Mutzel

The convolution operator at the core of many modern neural architectures can effectively be seen as performing a dot product between an input matrix and a filter. While this is readily applicable to data such as images, which can be…

Machine Learning · Computer Science 2025-11-26 Luca Cosmo , Giorgia Minello , Alessandro Bicciato , Michael Bronstein , Emanuele Rodolà , Luca Rossi , Andrea Torsello

Attributed graphs, typically characterized by irregular topologies and a mix of numerical and categorical attributes, are ubiquitous in diverse domains such as social networks, bioinformatics, and cheminformatics. While graph kernels…

Machine Learning · Computer Science 2025-11-17 Hong Huang , Chengyu Yao , Haiming Chen , Hang Gao

Recent works on representation learning for graph structured data predominantly focus on learning distributed representations of graph substructures such as nodes and subgraphs. However, many graph analytics tasks such as graph…

Artificial Intelligence · Computer Science 2017-07-18 Annamalai Narayanan , Mahinthan Chandramohan , Rajasekar Venkatesan , Lihui Chen , Yang Liu , Shantanu Jaiswal

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…

Machine Learning · Computer Science 2022-11-29 Yin-Cong Zhi , Felix L. Opolka , Yin Cheng Ng , Pietro Liò , Xiaowen Dong

Following the success of deep convolutional networks in various vision and speech related tasks, researchers have started investigating generalizations of the well-known technique for graph-structured data. A recently-proposed method called…

Social and Information Networks · Computer Science 2018-09-21 John Boaz Lee , Ryan A. Rossi , Xiangnan Kong , Sungchul Kim , Eunyee Koh , Anup Rao

In this paper, we show how the Ordered Decomposition DAGs (ODD) kernel framework, a framework that allows the definition of graph kernels from tree kernels, allows to easily define new state-of-the-art graph kernels. Here we consider a fast…

Machine Learning · Computer Science 2016-07-21 Giovanni Da San Martino , Nicolò Navarin , Alessandro Sperduti

Graphs are complex objects that do not lend themselves easily to typical learning tasks. Recently, a range of approaches based on graph kernels or graph neural networks have been developed for graph classification and for representation…

Machine Learning · Computer Science 2022-05-19 Chen Cai , Yusu Wang

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

Machine Learning · Computer Science 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi