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Graph anomaly detection has long been an important problem in various domains pertaining to information security such as financial fraud, social spam and network intrusion. The majority of existing methods are performed in an unsupervised…

Machine Learning · Computer Science 2024-08-27 Xiongxiao Xu , Kaize Ding , Canyu Chen , Kai Shu

Graph embedding techniques are pivotal in real-world machine learning tasks that operate on graph-structured data, such as social recommendation and protein structure modeling. Embeddings are mostly performed on the node level for learning…

Machine Learning · Computer Science 2022-04-26 Nan Wang , Lu Lin , Jundong Li , Hongning Wang

Graphlets are defined as k-node connected induced subgraph patterns. For an undirected graph, 3-node graphlets include close triangle and open triangle. When k = 4, there are six types of graphlets, e.g., tailed-triangle and clique are two…

Machine Learning · Computer Science 2018-10-09 Xutong Liu , Yu-Zhen Janice Chen , John C. S. Lui , Konstantin Avrachenkov

Motivation: Molecular interaction networks summarize complex biological processes as graphs, whose structure is informative of biological function at multiple scales. Simultaneously, omics technologies measure the variation or activity of…

Quantitative Methods · Quantitative Biology 2020-12-24 Ramin Hasibi , Tom Michoel

Genetic mutations can cause disease by disrupting normal gene function. Identifying the disease-causing mutations from millions of genetic variants within an individual patient is a challenging problem. Computational methods which can…

Machine Learning · Computer Science 2021-06-28 Jun Cheng , Carolin Lawrence , Mathias Niepert

Graph prediction problems prevail in data analysis and machine learning. The inverse prediction problem, namely to infer input data from given output labels, is of emerging interest in various applications. In this work, we develop…

Machine Learning · Statistics 2022-11-22 Chen Xu , Xiuyuan Cheng , Yao Xie

Graph neural networks (GNNs) and message passing neural networks (MPNNs) have been proven to be expressive for subgraph structures in many applications. Some applications in heterogeneous graphs require explicit edge modeling, such as…

Machine Learning · Computer Science 2021-12-17 Xin Liu , Yangqiu Song

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

Machine Learning · Statistics 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

This study proposes an unsupervised anomaly detection method for distributed backend service systems, addressing practical challenges such as complex structural dependencies, diverse behavioral evolution, and the absence of labeled data.…

Machine Learning · Computer Science 2025-08-14 Yun Zi , Ming Gong , Zhihao Xue , Yujun Zou , Nia Qi , Yingnan Deng

A subgraph of an edge-coloured graph is called rainbow if all its edges have distinct colours. The study of rainbow subgraphs goes back more than two hundred years to the work of Euler on Latin squares. Since then rainbow structures have…

Combinatorics · Mathematics 2018-12-11 Richard Montgomery , Alexey Pokrovskiy , Benny Sudakov

Graphs are ubiquitous in social networks and biochemistry, where Graph Neural Networks (GNN) are the state-of-the-art models for prediction. Graphs can be evolving and it is vital to formally model and understand how a trained GNN responds…

Machine Learning · Computer Science 2024-03-12 Yazheng Liu , Xi Zhang , Sihong Xie

Small subgraphs (graphlets) are important features to describe fundamental units of a large network. The calculation of the subgraph frequency distributions has a wide application in multiple domains including biology and engineering.…

Machine Learning · Computer Science 2022-07-15 Zhongren Chen , Xinyue Xu , Shengyi Jiang , Hao Wang , Lu Mi

Graph Neural Networks (GNNs) typically operate by message-passing, where the state of a node is updated based on the information received from its neighbours. Most message-passing models act as graph convolutions, where features are mixed…

-Background. Network neuroscience examines the brain as a complex system represented by a network (or connectome), providing deeper insights into the brain morphology and function, allowing the identification of atypical brain connectivity…

Neurons and Cognition · Quantitative Biology 2020-09-01 Mert Lostar , Islem Rekik

Hypergraph is a data structure that enables us to model higher-order associations among data entities. Conventional graph-structured data can represent pairwise relationships only, whereas hypergraph enables us to associate any number of…

Machine Learning · Computer Science 2024-12-10 Md. Tanvir Alam , Chowdhury Farhan Ahmed , Carson K. Leung

Unsupervised graph-level anomaly detection (UGAD) has attracted increasing interest due to its widespread application. In recent studies, knowledge distillation-based methods have been widely used in unsupervised anomaly detection to…

Machine Learning · Computer Science 2024-07-02 Rui Cao , Shijie Xue , Jindong Li , Qi Wang , Yi Chang

Subgraph GNNs are a recent class of expressive Graph Neural Networks (GNNs) which model graphs as collections of subgraphs. So far, the design space of possible Subgraph GNN architectures as well as their basic theoretical properties are…

Machine Learning · Computer Science 2022-10-17 Fabrizio Frasca , Beatrice Bevilacqua , Michael M. Bronstein , Haggai Maron

Subgraph pattern detection aims to uncover complex interaction structures in graphs. However, state-of-the-art graph neural network (GNN)-based solutions assume centralized access to the entire graph. When graphs are instead distributed…

Machine Learning · Computer Science 2026-05-08 Selin Ceydeli , Rui Wang , Kubilay Atasu

Node classification is one of the hottest tasks in graph analysis. Though existing studies have explored various node representations in directed and undirected graphs, they have overlooked the distinctions of their capabilities to capture…

Machine Learning · Computer Science 2023-12-07 Seiji Maekawa , Yuya Sasaki , Makoto Onizuka

Graph representation learning for hypergraphs can be used to extract patterns among higher-order interactions that are critically important in many real world problems. Current approaches designed for hypergraphs, however, are unable to…

Machine Learning · Computer Science 2019-11-11 Ruochi Zhang , Yuesong Zou , Jian Ma