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For two multisets $S$ and $T$ of points in $[\Delta]^2$, such that $|S| = |T|= n$, the earth-mover distance (EMD) between $S$ and $T$ is the minimum cost of a perfect bipartite matching with edges between points in $S$ and $T$, i.e.,…

Data Structures and Algorithms · Computer Science 2014-04-28 Arman Yousefi , Rafail Ostrovsky

Knowledge graph embedding methods learn embeddings of entities and relations in a low dimensional space which can be used for various downstream machine learning tasks such as link prediction and entity matching. Various graph convolutional…

Machine Learning · Computer Science 2021-02-16 Nasrullah Sheikh , Xiao Qin , Berthold Reinwald , Christoph Miksovic , Thomas Gschwind , Paolo Scotton

Graph embedding learns low-dimensional representations for nodes in a graph and effectively preserves the graph structure. Recently, a significant amount of progress has been made toward this emerging research area. However, there are…

Machine Learning · Computer Science 2019-05-20 Yuan Yin , Zhewei Wei

Federated learning, where algorithms are trained across multiple decentralized devices without sharing local data, is increasingly popular in distributed machine learning practice. Typically, a graph structure $G$ exists behind local…

Machine Learning · Statistics 2022-09-20 Huiyuan Wang , Xuyang Zhao , Wei Lin

Considering the wide application of network embedding methods in graph data mining, inspired by the adversarial attack in deep learning, this paper proposes a Genetic Algorithm (GA) based Euclidean Distance Attack strategy (EDA) to attack…

Social and Information Networks · Computer Science 2019-11-11 Shanqing Yu , Jun Zheng , Jinhuan Wang , Jian Zhang , Lihong Chen , Qi Xuan , Jinyin Chen , Dan Zhang , Qingpeng Zhang

Heterogeneous graphs are ubiquitous in real-world applications because they can represent various relationships between different types of entities. Therefore, learning embeddings in such graphs is a critical problem in graph machine…

Machine Learning · Computer Science 2024-04-02 Yue Zhang , Yuntian He , Saket Gurukar , Srinivasan Parthasarathy

Graph embedding is a transformation of vertices of a graph into set of vectors. Good embeddings should capture the graph topology, vertex-to-vertex relationship, and other relevant information about graphs, subgraphs, and vertices. If these…

Social and Information Networks · Computer Science 2021-02-17 Bogumil Kaminski , Pawel Pralat , Francois Theberge

Massive Multiple-Input Multiple-Out (MIMO) detection is an important problem in modern wireless communication systems. While traditional Belief Propagation (BP) detectors perform poorly on loopy graphs, the recent Graph Neural Networks…

Information Theory · Computer Science 2022-06-15 Hongyi Li , Junxiang Wang , Yongchao Wang

The graph alignment problem, which considers the optimal node correspondence across networks, has recently gained significant attention due to its wide applications. There are graph alignment methods suited for various network types, but we…

Social and Information Networks · Computer Science 2025-05-15 Ashley Wang , Peter Chin

Embedding undirected graphs in a Euclidean space has many computational benefits. FastMap is an efficient embedding algorithm that facilitates a geometric interpretation of problems posed on undirected graphs. However, Euclidean distances…

Machine Learning · Computer Science 2020-06-08 Sriram Gopalakrishnan , Liron Cohen , Sven Koenig , T. K. Satish Kumar

In real-world scenarios, although data entities may possess inherent relationships, the specific graph illustrating their connections might not be directly accessible. Latent graph inference addresses this issue by enabling Graph Neural…

Machine Learning · Computer Science 2023-11-21 Yuan Lu , Haitz Sáez de Ocáriz Borde , Pietro Liò

Recently, one has seen a surge of interest in developing such methods including ones for learning such representations for (undirected) graphs (while preserving important properties). However, most of the work to date on embedding graphs…

Social and Information Networks · Computer Science 2018-11-30 Jiankai Sun , Srinivasan Parthasarathy

Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from high computational cost and excessive memory requirements associated with the high-dimensionality and…

Machine Learning · Computer Science 2020-12-16 Mengjia Xu

Graph embedding learning that aims to automatically learn low-dimensional node representations, has drawn increasing attention in recent years. To date, most recent graph embedding methods are evaluated on social and information networks…

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

Knowledge graphs suffer from sparsity which degrades the quality of representations generated by various methods. While there is an abundance of textual information throughout the web and many existing knowledge bases, aligning information…

Computation and Language · Computer Science 2021-04-13 Saed Rezayi , Handong Zhao , Sungchul Kim , Ryan A. Rossi , Nedim Lipka , Sheng Li

Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative…

Machine Learning · Computer Science 2026-01-21 Salvatore Romano , Marco Grassia , Giuseppe Mangioni

Current Graph Neural Networks (GNN) architectures generally rely on two important components: node features embedding through message passing, and aggregation with a specialized form of pooling. The structural (or topological) information…

Machine Learning · Computer Science 2022-06-01 Cédric Vincent-Cuaz , Rémi Flamary , Marco Corneli , Titouan Vayer , Nicolas Courty

Unsupervised attributed graph representation learning is challenging since both structural and feature information are required to be represented in the latent space. Existing methods concentrate on learning latent representation via…

Machine Learning · Computer Science 2021-04-28 Zelin Zang , Siyuan Li , Di Wu , Jianzhu Guo , Yongjie Xu , Stan Z. Li

We address the problem of defining a network graph on a large collection of classes. Each class is comprised of a collection of data points, sampled in a non i.i.d. way, from some unknown underlying distribution. The application we consider…

Machine Learning · Statistics 2017-07-04 Alexander Cloninger , Brita Roy , Carley Riley , Harlan M. Krumholz
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