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This paper details a new algorithm to solve the shortest path problem in valued graphs. Its complexity is $O(D \log v)$ where $D$ is the graph diameter and $v$ its number of vertices. This complexity has to be compared to the one of the…

Data Structures and Algorithms · Computer Science 2007-05-23 Michel Koskas

Optimization problems over dynamic networks have been extensively studied and widely used in the past decades to formulate numerous real-world problems. However, (1) traditional optimization-based approaches do not scale to large networks,…

Machine Learning · Computer Science 2023-05-17 Daniele Gammelli , James Harrison , Kaidi Yang , Marco Pavone , Filipe Rodrigues , Francisco C. Pereira

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

In this work, we propose to employ information-geometric tools to optimize a graph neural network architecture such as the graph convolutional networks. More specifically, we develop optimization algorithms for the graph-based…

Machine Learning · Computer Science 2020-08-25 Mohammad Rasool Izadi , Yihao Fang , Robert Stevenson , Lizhen Lin

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

Discrete Mathematics · Computer Science 2020-12-02 Enzhi Li , Zhengyi Le

Current graph systems can easily process billions of data, however when increased to exceed hundred billions, the performance decreases dramatically, time series data always be very huge, consequently computation on time series graphs still…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-25 Derong Tang

Diffusion has shown great success in improving accuracy of unsupervised image retrieval systems by utilizing high-order structures of image manifold. However, existing diffusion methods suffer from three major limitations: 1) they usually…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Zhiyong Dou , Haotian Cui , Lin Zhang , Bo Wang

In this paper, we propose a depth-first search (DFS) algorithm for searching maximum matchings in general graphs. Unlike blossom shrinking algorithms, which store all possible alternative alternating paths in the super-vertices shrunk from…

Data Structures and Algorithms · Computer Science 2022-04-20 Tony T. Lee , Bojun Lu , Hanli Chu

Graph embedding maps graph nodes to low-dimensional vectors, and is widely adopted in machine learning tasks. The increasing availability of billion-edge graphs underscores the importance of learning efficient and effective embeddings on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-27 Peng Fang , Arijit Khan , Siqiang Luo , Fang Wang , Dan Feng , Zhenli Li , Wei Yin , Yuchao Cao

In this paper, we propose Graph Retention Networks (GRNs) as a unified architecture for deep learning on dynamic graphs. The GRN extends the concept of retention into dynamic graph data as graph retention, equipping the model with three key…

Machine Learning · Computer Science 2026-04-14 Qian Chang , Xia Li , Xiufeng Cheng , Runsong Jia , Jinqing Yang , Guoping Hu , Ciprian Doru Giurcaneanu

This paper presents the results of an experimental study of graph partitioning. We describe a new heuristic technique, path optimization, and its application to two variations of graph partitioning: the max_cut problem and the…

Combinatorics · Mathematics 2016-09-06 Jonathan Berry , Mark Goldberg

Large Language Models (LLMs) have demonstrated remarkable capabilities in modeling sequential textual data and generalizing across diverse tasks. However, adapting LLMs to effectively handle structural data, such as knowledge graphs or web…

Computation and Language · Computer Science 2025-11-12 Jiarui Feng , Donghong Cai , Yixin Chen , Muhan Zhang

In this work we provide a new technique to design fast approximation algorithms for graph problems where the points of the graph lie in a metric space. Specifically, we present a sampling approach for such metric graphs that, using a…

Data Structures and Algorithms · Computer Science 2018-07-26 Hossein Esfandiari , Michael Mitzenmacher

Overcrowding in emergency departments (ED) is a persistent problem exacerbated by population growth, emergence of pandemics, and increased morbidity and mortality rates. Thus, automated approaches for ED layout design have recently emerged…

Neural and Evolutionary Computing · Computer Science 2025-04-17 Ola Sarhan , Manal Abdel Wahed , Muhammad Ali Rushdi

Graph coarsening is a graph dimensionality reduction technique that aims to construct a smaller and more tractable graph while preserving the essential structural and semantic properties of the original graph. However, most existing methods…

Machine Learning · Computer Science 2026-05-14 Xu Bai , Bin Lu , Kun Zhang , Shengbo Chen , Xinbing Wang , Chenghu Zhou , Meng Jin

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

We propose Slim Graph: the first programming model and framework for practical lossy graph compression that facilitates high-performance approximate graph processing, storage, and analytics. Slim Graph enables the developer to express…

Data Structures and Algorithms · Computer Science 2021-08-04 Maciej Besta , Simon Weber , Lukas Gianinazzi , Robert Gerstenberger , Andrey Ivanov , Yishai Oltchik , Torsten Hoefler

Different layouts can characterize different aspects of the same graph. Finding a "good" layout of a graph is thus an important task for graph visualization. In practice, users often visualize a graph in multiple layouts by using different…

Social and Information Networks · Computer Science 2019-10-16 Oh-Hyun Kwon , Kwan-Liu Ma

This work introduces a new approach for accelerating the numerical analysis of time-domain partial differential equations (PDEs) governing complex physical systems. The methodology is based on a combination of a classical reduced-order…

Machine Learning · Computer Science 2024-06-06 Victor Matray , Faisal Amlani , Frédéric Feyel , David Néron

The increasing complexity of computing systems places a tremendous burden on optimizing compilers, requiring ever more accurate and aggressive optimizations. Machine learning offers significant benefits for constructing optimization…

Machine Learning · Computer Science 2020-03-25 Chris Cummins , Zacharias V. Fisches , Tal Ben-Nun , Torsten Hoefler , Hugh Leather