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Finding a Maximum Clique is a classic property test from graph theory; find any one of the largest complete subgraphs in an Erd\"os-R\'enyi G(N, p) random graph. We use Maximum Clique to explore the structure of the problem as a function of…

Disordered Systems and Neural Networks · Physics 2023-05-26 Raffaele Marino , Scott Kirkpatrick

Node representation learning in a network is an important machine learning technique for encoding relational information in a continuous vector space while preserving the inherent properties and structures of the network. Recently,…

Machine Learning · Computer Science 2023-05-16 Hogun Park , Jennifer Neville

Node embedding refers to techniques that generate low-dimensional vector representations of nodes in a graph while preserving specific properties of the nodes. A key challenge in the field is developing scalable methods that can preserve…

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

Social and Information Networks · Computer Science 2020-08-10 Xiao Shen , Fu-Lai Chung

Word embeddings aims to map sense of the words into a lower dimensional vector space in order to reason over them. Training embeddings on domain specific data helps express concepts more relevant to their use case but comes at a cost of…

Computation and Language · Computer Science 2018-08-20 Shubham Bhardwaj

We consider two popular Graph Representation Learning (GRL) methods: message passing for node classification and network embedding for link prediction. For each, we pick a popular model that we: (i) linearize and (ii) and switch its…

Machine Learning · Computer Science 2021-04-23 Sami Abu-El-Haija , Valentino Crespi , Greg Ver Steeg , Aram Galstyan

Graph is a natural representation of data for a variety of real-word applications, such as knowledge graph mining, social network analysis and biological network comparison. For these applications, graph embedding is crucial as it provides…

Machine Learning · Computer Science 2020-01-24 Bitan Hou , Yujing Wang , Ming Zeng , Shan Jiang , Ole J. Mengshoel , Yunhai Tong , Jing Bai

Financial transactions can be considered edges in a heterogeneous graph between entities sending money and entities receiving money. For financial institutions, such a graph is likely large (with millions or billions of edges) while also…

Machine Learning · Computer Science 2019-07-18 C. Bayan Bruss , Anish Khazane , Jonathan Rider , Richard Serpe , Antonia Gogoglou , Keegan E. Hines

From social networks to protein complexes to disease genomes to visual data, hypergraphs are everywhere. However, the scope of research studying deep learning on hypergraphs is still quite sparse and nascent, as there has not yet existed an…

Machine Learning · Computer Science 2019-10-08 Josh Payne

Learning universal graph representations across heterogeneous domains is difficult because graph datasets differ in topology, node-attribute semantics, feature dimensions, and even attribute availability. We propose GraphVec, a…

Machine Learning · Computer Science 2026-05-08 Qi Feng , Jicong Fan

Node embedding is a central topic in graph representation learning. Computational efficiency and scalability can be challenging to any method that requires full-graph operations. We propose sampling approaches to node embedding, with or…

Machine Learning · Statistics 2022-10-20 Li-Chun Zhang

Vector representations of graphs and relational structures, whether hand-crafted feature vectors or learned representations, enable us to apply standard data analysis and machine learning techniques to the structures. A wide range of…

Machine Learning · Computer Science 2020-03-31 Martin Grohe

Graph representation learning based on graph neural networks (GNNs) can greatly improve the performance of downstream tasks, such as node and graph classification. However, the general GNN models do not aggregate node information in a…

Machine Learning · Computer Science 2020-07-30 Fei Ding , Xiaohong Zhang , Justin Sybrandt , Ilya Safro

Representation learning on graphs, also called graph embedding, has demonstrated its significant impact on a series of machine learning applications such as classification, prediction and recommendation. However, existing work has largely…

Machine Learning · Computer Science 2022-06-28 Yifan Hou , Hongzhi Chen , Changji Li , James Cheng , Ming-Chang Yang

Graph Neural Networks (GNNs) bring the power of deep representation learning to graph and relational data and achieve state-of-the-art performance in many applications. GNNs compute node representations by taking into account the topology…

Machine Learning · Computer Science 2021-09-10 Maria Kalantzi , George Karypis

Graph embedding has attracted increasing attention due to its critical application in social network analysis. Most existing algorithms for graph embedding only rely on the typology information and fail to use the copious information in…

Artificial Intelligence · Computer Science 2018-01-18 Guolei Sun , Xiangliang Zhang

In contrast to regular (simple) networks, hyper networks possess the ability to depict more complex relationships among nodes and store extensive information. Such networks are commonly found in real-world applications, such as in social…

Social and Information Networks · Computer Science 2023-11-08 Shu Liu , Cameron Lai , Fujio Toriumi

In graph modification problems, one is given a graph G and the goal is to apply a minimum number of modification operations (such as edge deletions) to G such that the resulting graph fulfills a certain property. For example, the Cluster…

Data Structures and Algorithms · Computer Science 2016-06-13 Christian Komusiewicz , André Nichterlein , Rolf Niedermeier

We propose a novel graph visualization method leveraging random walk-based embeddings to replace costly graph-theoretical distance computations. Using word2vec-inspired embeddings, our approach captures both structural and semantic…

Computational Geometry · Computer Science 2025-09-23 Minglai Yang , Reyan Ahmed

Graph neural networks for heterogeneous graph embedding is to project nodes into a low-dimensional space by exploring the heterogeneity and semantics of the heterogeneous graph. However, on the one hand, most of existing heterogeneous graph…

Machine Learning · Computer Science 2022-12-01 Zezhi Shao , Yongjun Xu , Wei Wei , Fei Wang , Zhao Zhang , Feida Zhu