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New algorithms for embedding graphs have reduced the asymptotic complexity of finding low-dimensional representations. One-Hot Graph Encoder Embedding (GEE) uses a single, linear pass over edges and produces an embedding that converges…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-08 Ariel Lubonja , Cencheng Shen , Carey Priebe , Randal Burns

Computing eigenvalues of very large matrices is a critical task in many machine learning applications, including the evaluation of log-determinants, the trace of matrix functions, and other important metrics. As datasets continue to grow in…

Machine Learning · Statistics 2025-06-16 Siavash Ameli , Chris van der Heide , Liam Hodgkinson , Michael W. Mahoney

Computing classical centrality measures such as betweenness and closeness is computationally expensive on large-scale graphs. In this work, we introduce an efficient force layout algorithm that embeds a graph into a low-dimensional space,…

Social and Information Networks · Computer Science 2026-04-29 Alexander Kolpakov , Igor Rivin

Molecular graphs generally contain subgraphs (known as groups) that are identifiable and significant in composition, functionality, geometry, etc. Flat latent representations (node embeddings or graph embeddings) fail to represent, and…

Machine Learning · Computer Science 2019-04-05 Daniel T. Chang

Scene graphs are a powerful structured representation of the underlying content of images, and embeddings derived from them have been shown to be useful in multiple downstream tasks. In this work, we employ a graph convolutional network to…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Paridhi Maheshwari , Ritwick Chaudhry , Vishwa Vinay

Graph embedding aims to transfer a graph into vectors to facilitate subsequent graph analytics tasks like link prediction and graph clustering. Most approaches on graph embedding focus on preserving the graph structure or minimizing the…

Machine Learning · Computer Science 2020-03-04 Shirui Pan , Ruiqi Hu , Sai-fu Fung , Guodong Long , Jing Jiang , Chengqi Zhang

In an era of unprecedented deluge of (mostly unstructured) data, graphs are proving more and more useful, across the sciences, as a flexible abstraction to capture complex relationships between complex objects. One of the main challenges…

Disordered Systems and Neural Networks · Physics 2016-10-17 Alaa Saade

Embedding graphs in continous spaces is a key factor in designing and developing algorithms for automatic information extraction to be applied in diverse tasks (e.g., learning, inferring, predicting). The reliability of graph embeddings…

Machine Learning · Computer Science 2023-11-30 Andrea Marinoni , Pietro Lio' , Alessandro Barp , Christian Jutten , Mark Girolami

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

Graph embedding maps a graph into a convenient vector-space representation for graph analysis and machine learning applications. Many graph embedding methods hinge on a sampling of context nodes based on random walks. However, random walks…

Machine Learning · Computer Science 2021-10-18 Sadamori Kojaku , Jisung Yoon , Isabel Constantino , Yong-Yeol Ahn

The creation of social ties is largely determined by the entangled effects of people's similarities in terms of individual characters and friends. However, feature and structural characters of people usually appear to be correlated, making…

Machine Learning · Computer Science 2019-10-30 Sébastien Lerique , Jacob Levy Abitbol , Márton Karsai

Node embedding algorithms produce low-dimensional latent representations of nodes in a graph. These embeddings are often used for downstream tasks, such as node classification and link prediction. In this paper, we investigate the following…

Machine Learning · Computer Science 2024-06-13 Zohair Shafi , Ayan Chatterjee , Tina Eliassi-Rad

Over the last decade, PageRank has gained importance in a wide range of applications and domains, ever since it first proved to be effective in determining node importance in large graphs (and was a pioneering idea behind Google's search…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-26 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan , Eli Upfal

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

Social and Information Networks · Computer Science 2020-11-12 Giuseppe Pirrò

An important challenge in the field of exponential random graphs (ERGs) is the fitting of non-trivial ERGs on large graphs. By utilizing fast matrix block-approximation techniques, we propose an approximative framework to such non-trivial…

Social and Information Networks · Computer Science 2022-02-02 Florian Adriaens , Alexandru Mara , Jefrey Lijffijt , Tijl De Bie

Spectral embedding is a popular technique for the representation of graph data. Several regularization techniques have been proposed to improve the quality of the embedding with respect to downstream tasks like clustering. In this paper, we…

Machine Learning · Computer Science 2019-12-24 Nathan de Lara , Thomas Bonald

The success of neural network embeddings has entailed a renewed interest in using knowledge graphs for a wide variety of machine learning and information retrieval tasks. In particular, recent recommendation methods based on graph…

Information Retrieval · Computer Science 2022-08-01 Iván Cantador , Andrés Carvallo , Fernando Diez

Graph-based methods are known to be successful in many machine learning and pattern classification tasks. These methods consider semi-structured data as graphs where nodes correspond to primitives (parts, interest points, segments, etc.)…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Anjan Dutta , Hichem Sahbi

In this research, we investigate methods for entity retrieval using graph embeddings. While various methods have been proposed over the years, most utilize a single graph embedding and entity linking approach. This hinders our understanding…

Information Retrieval · Computer Science 2025-06-05 Emma J. Gerritse , Faegheh Hasibi , Arjen P. de Vries

Learning representations of nodes has been a crucial area of the graph machine learning research area. A well-defined node embedding model should reflect both node features and the graph structure in the final embedding. In the case of…

Machine Learning · Computer Science 2023-04-20 Kamil Tagowski , Piotr Bielak , Jakub Binkowski , Tomasz Kajdanowicz
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