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Anomalies represent rare observations (e.g., data records or events) that deviate significantly from others. Over several decades, research on anomaly mining has received increasing interests due to the implications of these occurrences in…

Machine Learning · Computer Science 2022-04-21 Xiaoxiao Ma , Jia Wu , Shan Xue , Jian Yang , Chuan Zhou , Quan Z. Sheng , Hui Xiong , Leman Akoglu

The graphlet kernel is a classical method in graph classification. It however suffers from a high computation cost due to the isomorphism test it includes. As a generic proxy, and in general at the cost of losing some information, this test…

Machine Learning · Computer Science 2020-10-19 Hashem Ghanem , Nicolas Keriven , Nicolas Tremblay

Graph neural networks (GNNs) have achieved superior performance on node classification tasks in the last few years. Commonly, this is framed in a transductive semi-supervised learning setup wherein the entire graph, including the target…

Machine Learning · Computer Science 2021-10-11 Artun Bayer , Arindam Chowdhury , Santiago Segarra

We propose a new graph-theoretic benchmark in this paper. The benchmark is developed to address shortcomings of an existing widely-used graph benchmark. We thoroughly studied a large number of traditional and contemporary graph algorithms…

Performance · Computer Science 2010-05-06 Andy B. Yoo , Yang Liu , Sheila Vaidya , Stephen Poole

Deep Neural Networks have shown tremendous success in the area of object recognition, image classification and natural language processing. However, designing optimal Neural Network architectures that can learn and output arbitrary graphs…

Machine Learning · Computer Science 2019-07-02 Mital Kinderkhedia

Real-world knowledge graphs (KG) are mostly incomplete. The problem of recovering missing relations, called KG completion, has recently become an active research area. Knowledge graph (KG) embedding, a low-dimensional representation of…

Artificial Intelligence · Computer Science 2022-07-01 Minsang Kim , Seungjun Baek

Massive network exploration is an important research direction with many applications. In such a setting, the network is, usually, modeled as a graph $G$, whereas any structural information of interest is extracted by inspecting the way…

Data Structures and Algorithms · Computer Science 2017-12-11 Panagiotis Strouthopoulos , Apostolos Papadopoulos

We introduce Kernel Density Discrimination GAN (KDD GAN), a novel method for generative adversarial learning. KDD GAN formulates the training as a likelihood ratio optimization problem where the data distributions are written explicitly via…

Machine Learning · Computer Science 2021-07-14 Abdelhak Lemkhenter , Adam Bielski , Alp Eren Sari , Paolo Favaro

Graph anomaly detection aims to identify irregular patterns in graph-structured data. Most unsupervised GNN-based methods rely on the homophily assumption that connected nodes share similar attributes. However, real-world graphs often…

Machine Learning · Computer Science 2026-04-20 Zehao Wang , Lanjun Wang

Kernels on discrete structures evaluate pairwise similarities between objects which capture semantics and inherent topology information. Existing kernels on discrete structures are only developed by topology information(such as adjacency…

Machine Learning · Computer Science 2022-11-01 Fuyang Li , Jiying Zhang , Xi Xiao , Bin Zhang , Dijun Luo

Graph anomaly detection faces significant challenges due to the scarcity of reliable anomaly-labeled datasets, driving the development of unsupervised methods. Graph autoencoders (GAEs) have emerged as a dominant approach by reconstructing…

Machine Learning · Computer Science 2025-06-03 Chunyu Wei , Wenji Hu , Xingjia Hao , Yunhai Wang , Yueguo Chen , Bing Bai , Fei Wang

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

Within the context of Graph Signal Processing (GSP), Graph Learning (GL) is concerned with the inference of the graph's underlying structure from nodal observations. However, real-world data often contains diverse information, necessitating…

Signal Processing · Electrical Eng. & Systems 2023-11-08 Mohamad H. Alizade , Aref Einizade , Jhony H. Giraldo

Software vulnerability detection is crucial for high-quality software development. Recently, some studies utilizing Graph Neural Networks (GNNs) to learn the graph representation of code in vulnerability detection tasks have achieved…

Software Engineering · Computer Science 2024-12-16 Xin Peng , Shangwen Wang , Yihao Qin , Bo Lin , Liqian Chen , Xiaoguang Mao

Graph-based anomaly detection has been widely used for detecting malicious activities in real-world applications. Existing attempts to address this problem have thus far focused on structural feature engineering or learning in the binary…

Machine Learning · Computer Science 2022-08-31 Bo Chen , Jing Zhang , Xiaokang Zhang , Yuxiao Dong , Jian Song , Peng Zhang , Kaibo Xu , Evgeny Kharlamov , Jie Tang

Anomaly detection from graph data is an important data mining task in many applications such as social networks, finance, and e-commerce. Existing efforts in graph anomaly detection typically only consider the information in a single scale…

Machine Learning · Computer Science 2024-08-02 Yu Zheng , Ming Jin , Yixin Liu , Lianhua Chi , Khoa T. Phan , Yi-Ping Phoebe Chen

Most graph kernels are an instance of the class of $\mathcal{R}$-Convolution kernels, which measure the similarity of objects by comparing their substructures. Despite their empirical success, most graph kernels use a naive aggregation of…

Machine Learning · Computer Science 2019-10-31 Matteo Togninalli , Elisabetta Ghisu , Felipe Llinares-López , Bastian Rieck , Karsten Borgwardt

Decomposing a graph into a hierarchical structure via $k$-core analysis is a standard operation in any modern graph-mining toolkit. $k$-core decomposition is a simple and efficient method that allows to analyze a graph beyond its mere…

Data Structures and Algorithms · Computer Science 2020-01-16 Nikolaj Tatti

Given a set of points $P\subset \mathbb{R}^{d}$ and a kernel $k$, the Kernel Density Estimate at a point $x\in\mathbb{R}^{d}$ is defined as $\mathrm{KDE}_{P}(x)=\frac{1}{|P|}\sum_{y\in P} k(x,y)$. We study the problem of designing a data…

Data Structures and Algorithms · Computer Science 2018-09-03 Moses Charikar , Paris Siminelakis

Machine learning frameworks such as graph neural networks typically rely on a given, fixed graph to exploit relational inductive biases and thus effectively learn from network data. However, when said graphs are (partially) unobserved,…

Machine Learning · Computer Science 2022-05-20 Max Wasserman , Saurabh Sihag , Gonzalo Mateos , Alejandro Ribeiro
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