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A novel Gromov-Wasserstein learning framework is proposed to jointly match (align) graphs and learn embedding vectors for the associated graph nodes. Using Gromov-Wasserstein discrepancy, we measure the dissimilarity between two graphs and…

Machine Learning · Computer Science 2019-05-08 Hongteng Xu , Dixin Luo , Hongyuan Zha , Lawrence Carin

Node embedding is the task of extracting concise and informative representations of certain entities that are connected in a network. Various real-world networks include information about both node connectivity and certain node attributes,…

Social and Information Networks · Computer Science 2022-02-24 Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Node embeddings map graph vertices into low-dimensional Euclidean spaces while preserving structural information. They are central to tasks such as node classification, link prediction, and signal reconstruction. A key goal is to design…

Machine Learning · Computer Science 2026-02-18 Valentin de Bassompierre , Jean-Charles Delvenne , Laurent Jacques

Graph representation learning (also called graph embeddings) is a popular technique for incorporating network structure into machine learning models. Unsupervised graph embedding methods aim to capture graph structure by learning a…

Social and Information Networks · Computer Science 2022-01-24 Andrew Stolman , Caleb Levy , C. Seshadhri , Aneesh Sharma

Graph embedding algorithms are used to efficiently represent (encode) a graph in a low-dimensional continuous vector space that preserves the most important properties of the graph. One aspect that is often overlooked is whether the graph…

Machine Learning · Computer Science 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

Feature extraction and dimension reduction for networks is critical in a wide variety of domains. Efficiently and accurately learning features for multiple graphs has important applications in statistical inference on graphs. We propose a…

Applications · Statistics 2021-06-23 Shangsi Wang , Jesús Arroyo , Joshua T. Vogelstein , Carey E. Priebe

Graph Neural Networks usually rely on the assumption that the graph topology is available to the network as well as optimal for the downstream task. Latent graph inference allows models to dynamically learn the intrinsic graph structure of…

Machine Learning · Computer Science 2023-06-28 Haitz Sáez de Ocáriz Borde , Anees Kazi , Federico Barbero , Pietro Liò

Graph clustering, aiming to partition nodes of a graph into various groups via an unsupervised approach, is an attractive topic in recent years. To improve the representative ability, several graph auto-encoder (GAE) models, which are based…

Machine Learning · Computer Science 2021-03-16 Hongyuan Zhang , Rui Zhang , Xuelong Li

\Graph similarity computation is an essential task in many real-world graph-related applications such as retrieving the similar drugs given a query chemical compound or finding the user's potential friends from the social network database.…

Machine Learning · Computer Science 2024-12-18 Jingjing Wang , Hongjie Zhu , Haoran Xie , Fu Lee Wang , Xiaoliang Xu , Yuxiang Wang

We propose a graph semi-supervised learning framework for classification tasks on data manifolds. Motivated by the manifold hypothesis, we model data as points sampled from a low-dimensional manifold $\mathcal{M} \subset \mathbb{R}^F$. The…

Machine Learning · Computer Science 2025-11-03 Caio F. Deberaldini Netto , Zhiyang Wang , Luana Ruiz

Graph representation learning (also known as network embedding) has been extensively researched with varying levels of granularity, ranging from nodes to graphs. While most prior work in this area focuses on node-level representation,…

Machine Learning · Computer Science 2023-06-05 Lili Wang , Chenghan Huang , Weicheng Ma , Xinyuan Cao , Soroush Vosoughi

Understanding non-linear relationships among financial instruments has various applications in investment processes ranging from risk management, portfolio construction and trading strategies. Here, we focus on interconnectedness among…

Computational Finance · Quantitative Finance 2022-07-18 Bhaskarjit Sarmah , Nayana Nair , Dhagash Mehta , Stefano Pasquali

The objective of knowledge graph embedding is to encode both entities and relations of knowledge graphs into continuous low-dimensional vector spaces. Previously, most works focused on symbolic representation of knowledge graph with…

Computation and Language · Computer Science 2016-12-14 Jiacheng Xu , Kan Chen , Xipeng Qiu , Xuanjing Huang

In this paper, we propose a new type of graph, denoted as "embedded-graph", and its theory, which employs a distributed representation to describe the relations on the graph edges. Embedded-graphs can express linguistic and complicated…

Discrete Mathematics · Computer Science 2017-09-15 Atsushi Yokoyama

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

Computing latent representations for graph-structured data is an ubiquitous learning task in many industrial and academic applications ranging from molecule synthetization to social network analysis and recommender systems. Knowledge graphs…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Victor Caceres Chian , Marcel Hildebrandt , Thomas Runkler , Dominik Dold

The recent proliferation of publicly available graph-structured data has sparked an interest in machine learning algorithms for graph data. Since most traditional machine learning algorithms assume data to be tabular, embedding algorithms…

Machine Learning · Computer Science 2019-08-09 Sourav Mukherjee , Tim Oates , Ryan Wright

Graph representation learning (GRL) is to encode graph elements into informative vector representations, which can be used in downstream tasks for analyzing graph-structured data and has seen extensive applications in various domains.…

Machine Learning · Computer Science 2024-06-21 Hewen Wang , Renchi Yang , Xiaokui Xiao

In recent years, we have witnessed the proliferation of knowledge graphs (KG) in various domains, aiming to support applications like question answering, recommendations, etc. A frequent task when integrating knowledge from different KGs is…

Databases · Computer Science 2023-06-08 Nikolaos Fanourakis , Vasilis Efthymiou , Dimitris Kotzinos , Vassilis Christophides
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