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Graph neural networks (GNNs) are the predominant approach for graph-based machine learning. While neural networks have shown great performance at learning useful representations, they are often criticized for their limited high-level…

Machine Learning · Computer Science 2024-07-09 Markus Zopf , Francesco Alesiani

As an important type of cloud data, digital provenance is arousing increasing attention on improving system performance. Currently, provenance has been employed to provide cues regarding access control and to estimate data quality. However,…

Cryptography and Security · Computer Science 2020-01-08 Xinyu Fan , Faen Zhang , Jiahong Wu , Jingming Guo

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

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

Graph neural networks (GNNs) are a class of deep models that operate on data with arbitrary topology represented as graphs. We introduce an efficient memory layer for GNNs that can jointly learn node representations and coarsen the graph.…

Machine Learning · Computer Science 2020-06-11 Amir Hosein Khasahmadi , Kaveh Hassani , Parsa Moradi , Leo Lee , Quaid Morris

The exploration of Graph Neural Networks (GNNs) for processing graph-structured data has expanded, particularly their potential for causal analysis due to their universal approximation capabilities. Anticipated to significantly enhance…

Machine Learning · Computer Science 2024-01-30 Simi Job , Xiaohui Tao , Taotao Cai , Lin Li , Haoran Xie , Jianming Yong

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

Machine Learning · Computer Science 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

Provenance graphs model causal system-level interactions from logs, enabling anomaly detectors to learn normal behavior and detect deviations as attacks. However, existing approaches rely on brittle, manually engineered rules to build…

Cryptography and Security · Computer Science 2026-03-19 Kushankur Ghosh , Mehar Klair , Kian Kyars , Euijin Choo , Jörg Sander

A graph neural network transforms features in each vertex's neighborhood into a vector representation of the vertex. Afterward, each vertex's representation is used independently for predicting its label. This standard pipeline implicitly…

Machine Learning · Computer Science 2020-06-18 Junteng Jia , Austin R. Benson

Graph kernel is a powerful tool measuring the similarity between graphs. Most of the existing graph kernels focused on node labels or attributes and ignored graph hierarchical structure information. In order to effectively utilize graph…

Machine Learning · Computer Science 2020-11-03 Kai Ma , Peng Wan , Daoqiang Zhang

We introduce the first graph kernels for metric graphs via tropical algebraic geometry. In contrast to conventional graph kernels based on graph combinatorics such as nodes, edges, and subgraphs, our metric graph kernels are purely based on…

Machine Learning · Computer Science 2026-01-30 Yueqi Cao , Anthea Monod

While kernel methods and Graph Neural Networks offer complementary strengths, integrating the two has posed challenges in efficiency and scalability. The Graph Neural Tangent Kernel provides a theoretical bridge by interpreting GNNs through…

Machine Learning · Computer Science 2025-07-17 Lin Wang , Shijie Wang , Sirui Huang , Qing Li

Graph kernels are historically the most widely-used technique for graph classification tasks. However, these methods suffer from limited performance because of the hand-crafted combinatorial features of graphs. In recent years, graph neural…

Machine Learning · Computer Science 2022-02-28 Aosong Feng , Chenyu You , Shiqiang Wang , Leandros Tassiulas

Graphs are important data representations for describing objects and their relationships, which appear in a wide diversity of real-world scenarios. As one of a critical problem in this area, graph generation considers learning the…

Machine Learning · Computer Science 2022-10-06 Xiaojie Guo , Liang Zhao

Kernel and linear regression have been recently explored in the prediction of graph signals as the output, given arbitrary input signals that are agnostic to the graph. In many real-world problems, the graph expands over time as new nodes…

Machine Learning · Computer Science 2019-11-27 Arun Venkitaraman , Saikat Chatterjee , Bo Wahlberg

The robustness of the much-used Graph Convolutional Networks (GCNs) to perturbations of their input is becoming a topic of increasing importance. In this paper, the random GCN is introduced for which a random matrix theory analysis is…

Machine Learning · Computer Science 2022-02-22 Mohamed El Amine Seddik , Changmin Wu , Johannes F. Lutzeyer , Michalis Vazirgiannis

Many innovations are inspired by past ideas in a non-trivial way. Tracing these origins and identifying scientific branches is crucial for research inspirations. In this paper, we use citation relations to identify the descendant chart,…

Physics and Society · Physics 2015-05-30 S. Gualdi , C. H. Yeung , Y. -C. Zhang

The fundamental principle of Graph Neural Networks (GNNs) is to exploit the structural information of the data by aggregating the neighboring nodes using a `graph convolution' in conjunction with a suitable choice for the network…

Machine Learning · Computer Science 2023-11-01 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

Subgraph isomorphism counting is known as #P-complete and requires exponential time to find the accurate solution. Utilizing representation learning has been shown as a promising direction to represent substructures and approximate the…

Machine Learning · Computer Science 2024-05-14 Xin Liu , Weiqi Wang , Jiaxin Bai , Yangqiu Song

We develop a multi-kernel based regression method for graph signal processing where the target signal is assumed to be smooth over a graph. In multi-kernel regression, an effective kernel function is expressed as a linear combination of…

Machine Learning · Statistics 2018-03-14 Arun Venkitaraman , Saikat Chatterjee , Peter Händel
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