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Graph neural networks (GNNs) are widely applied in graph data modeling. However, existing GNNs are often trained in a task-driven manner that fails to fully capture the intrinsic nature of the graph structure, resulting in sub-optimal node…

Machine Learning · Computer Science 2024-07-17 Zhenhua Huang , Kunhao Li , Shaojie Wang , Zhaohong Jia , Wentao Zhu , Sharad Mehrotra

Graph Neural Networks (GNNs) play a crucial role in various fields. However, most existing deep graph learning frameworks assume pre-stored static graphs and do not support training on graph streams. In contrast, many real-world graphs are…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-01 Yuchen Zhong , Guangming Sheng , Tianzuo Qin , Minjie Wang , Quan Gan , Chuan Wu

Graph neural networks (GNNs) have achieved great success in many scenarios with graph-structured data. However, in many real applications, there are three issues when applying GNNs: graphs are unknown, nodes have noisy features, and graphs…

Machine Learning · Computer Science 2022-10-11 Yixiang Shan , Jielong Yang , Xing Liu , Yixing Gao , Hechang Chen , Shuzhi Sam Ge

Graph Neural Networks (GNNs) have greatly advanced the semi-supervised node classification task on graphs. The majority of existing GNNs are trained in an end-to-end manner that can be viewed as tackling a bi-level optimization problem.…

Machine Learning · Computer Science 2023-07-20 Haoyu Han , Xiaorui Liu , Haitao Mao , MohamadAli Torkamani , Feng Shi , Victor Lee , Jiliang Tang

Given an undirected graph $G=(V,E)$ with positive edge lengths and two vertices $s$ and $t$, the next-to-shortest path problem is to find an $st$-path which length is minimum amongst all $st$-paths strictly longer than the shortest path…

Data Structures and Algorithms · Computer Science 2012-03-22 Bang Ye Wu

Graph representation learning, aiming to learn low-dimensional representations which capture the geometric dependencies between nodes in the original graph, has gained increasing popularity in a variety of graph analysis tasks, including…

Machine Learning · Computer Science 2019-10-07 Lu Wang , Wenchao Yu , Wei Wang , Wei Cheng , Wei Zhang , Hongyuan Zha , Xiaofeng He , Haifeng Chen

Finding the shortest path between two points in a graph is a fundamental problem that has been well-studied over the past several decades. Shortest path algorithms are commonly applied to modern navigation systems, so our study aims to…

Data Structures and Algorithms · Computer Science 2022-08-02 Kevin Y. Chen

Deep learning-based methods are growing prominence for planning purposes. In this paper, we present a hybrid planner that combines a graph machine learning model and an optimal solver based on branch and bound tree search for path-planning…

Artificial Intelligence · Computer Science 2022-04-05 Kevin Osanlou , Andrei Bursuc , Christophe Guettier , Tristan Cazenave , Eric Jacopin

A common way to accelerate shortest path algorithms on graphs is the use of a bidirectional search, which simultaneously explores the graph from the start and the destination. It has been observed recently that this strategy performs…

Data Structures and Algorithms · Computer Science 2022-03-17 Thomas Bläsius , Cedric Freiberger , Tobias Friedrich , Maximilian Katzmann , Felix Montenegro-Retana , Marianne Thieffry

Graph Neural Networks (GNNs) have been extensively used for mining graph-structured data with impressive performance. However, because these traditional GNNs do not distinguish among various downstream tasks, embeddings embedded by them are…

Machine Learning · Computer Science 2024-09-20 Jianpeng Chen , Yujing Wang , Ming Zeng , Zongyi Xiang , Bitan Hou , Yunhai Tong , Ole J. Mengshoel , Yazhou Ren

Generative Flow Networks (GFNs) have emerged as a powerful tool for sampling discrete objects from unnormalized distributions, offering a scalable alternative to Markov Chain Monte Carlo (MCMC) methods. While GFNs draw inspiration from…

Machine Learning · Computer Science 2025-02-24 Sobhan Mohammadpour , Emmanuel Bengio , Emma Frejinger , Pierre-Luc Bacon

Physical systems with complex unsteady dynamics, such as fluid flows, are often poorly represented by a single mean solution. For many practical applications, it is crucial to access the full distribution of possible states, from which…

Computational Physics · Physics 2025-04-07 Mario Lino , Tobias Pfaff , Nils Thuerey

The minimum cost flow problem is one of the most studied network optimization problems and appears in numerous applications. Some efficient algorithms exist for this problem, which are freely available in the form of libraries or software…

Machine Learning · Computer Science 2022-10-06 Philipp Herrmann , Anna Meyer , Stefan Ruzika , Luca E. Schäfer , Fabian von der Warth

Graph Neural Networks (GNNs) have recently been applied to graph learning tasks and achieved state-of-the-art (SOTA) results. However, many competitive methods run GNNs multiple times with subgraph extraction and customized labeling to…

Machine Learning · Computer Science 2023-02-14 Lecheng Kong , Yixin Chen , Muhan Zhang

Finding shortest paths in a graph is relevant for numerous problems in computer vision and graphics, including image segmentation, shape matching, or the computation of geodesic distances on discrete surfaces. Traditionally, the concept of…

Computer Vision and Pattern Recognition · Computer Science 2021-12-09 Viktoria Ehm , Daniel Cremers , Florian Bernard

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

Machine Learning · Computer Science 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

We propose a theoretical framework for training Graph Neural Networks (GNNs) on large input graphs via training on small, fixed-size sampled subgraphs. This framework is applicable to a wide range of models, including popular sampling-based…

Machine Learning · Computer Science 2023-10-18 Yeganeh Alimohammadi , Luana Ruiz , Amin Saberi

In this paper we study minimum cut and maximum flow problems on planar graphs, both in static and in dynamic settings. First, we present an algorithm that given an undirected planar graph computes the minimum cut between any two given…

Data Structures and Algorithms · Computer Science 2010-11-23 Giuseppe F. Italiano , Piotr Sankowski

Lightweight model design has become an important direction in the application of deep learning technology, pruning is an effective mean to achieve a large reduction in model parameters and FLOPs. The existing neural network pruning methods…

Machine Learning · Computer Science 2021-11-19 Zhuangzhi Chen , Jingyang Xiang , Yao Lu , Qi Xuan , Xiaoniu Yang