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Graph neural networks (GNNs) are gaining popularity for processing graph-structured data. In real-world scenarios, graph data within the same dataset can vary significantly in scale. This variability leads to depth-sensitivity, where the…

Machine Learning · Computer Science 2024-11-06 Zelin Yao , Chuang Liu , Xianke Meng , Yibing Zhan , Jia Wu , Shirui Pan , Wenbin Hu

The Gromov-Wasserstein (GW) transport problem is a relaxation of classic optimal transport, which seeks a transport between two measures while preserving their internal geometry. Due to meeting this theoretical underpinning, it is a…

Numerical Analysis · Mathematics 2024-03-14 Florian Beier , Robert Beinert

In massive multi-input multi-output (MIMO) systems, the main bottlenecks of location- and orientation-assisted beam alignment using deep neural networks (DNNs) are large training overhead and significant performance degradation. This paper…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Yuzhu Lei , Qiqi Xiao , Yinghui He , Guanding Yu

Graph Neural Networks (GNNs) have demonstrated effectiveness in collaborative filtering tasks due to their ability to extract powerful structural features. However, combining the graph features extracted from user-item interactions and…

Information Retrieval · Computer Science 2024-08-13 Jiafeng Xia , Dongsheng Li , Hansu Gu , Tun Lu , Ning Gu

Graph neural networks (GNNs) are prominent for their effectiveness in processing graph data for semi-supervised node classification tasks. Most works of GNNs assume that the observed structure accurately represents the underlying node…

Machine Learning · Computer Science 2024-11-08 Shuangjie Li , Jiangqing Song , Baoming Zhang , Gaoli Ruan , Junyuan Xie , Chongjun Wang

Graph neural networks (GNNs) have been demonstrated to perform well in graph representation learning, but always lacking in generalization capability when tackling out-of-distribution (OOD) data. Graph invariant learning methods, backed by…

Machine Learning · Computer Science 2023-12-19 Tianrui Jia , Haoyang Li , Cheng Yang , Tao Tao , Chuan Shi

Graph comparison deals with identifying similarities and dissimilarities between graphs. A major obstacle is the unknown alignment of graphs, as well as the lack of accurate and inexpensive comparison metrics. In this work we introduce the…

Machine Learning · Computer Science 2021-12-09 Hermina Petric Maretic , Mireille El Gheche , Giovanni Chierchia , Pascal Frossard

In this paper, we resort to the graph neural network (GNN) and propose the new channel tracking method for the massive multiple-input multiple-output networks under the high mobility scenario. We first utilize a small number of pilots to…

Information Theory · Computer Science 2020-04-21 Yindi Yang , Shun Zhang , Feifei Gao , Jianpeng Ma , Octavia A. Dobre

Heterophilous graphs, where dissimilar nodes tend to connect, pose a challenge for graph neural networks (GNNs). Increasing the GNN depth can expand the scope (i.e., receptive field), potentially finding homophily from the higher-order…

Machine Learning · Computer Science 2025-11-13 Gangda Deng , Hongkuan Zhou , Rajgopal Kannan , Viktor Prasanna

Cross-graph node classification, utilizing the abundant labeled nodes from one graph to help classify unlabeled nodes in another graph, can be viewed as a domain generalization problem of graph neural networks (GNNs) due to the structure…

Machine Learning · Computer Science 2025-02-26 Guanzi Chen , Jiying Zhang , Yang Li

Gromov--Wasserstein (GW) distances compare graphs, shapes, and point clouds through internal distances, without requiring a common coordinate system. This invariance is powerful, but discrete GW is a nonconvex quadratic optimal transport…

Machine Learning · Computer Science 2026-05-15 Ao Xu , Tieru Wu

Graph Neural Networks (GNNs) have demonstrated impressive performance on task-specific benchmarks, yet their ability to generalize across diverse domains and tasks remains limited. Existing approaches often struggle with negative transfer,…

Machine Learning · Computer Science 2025-11-06 Zhibin Wang , Zhixing Zhang , Shuqi Wang , Xuanting Xie , Zhao Kang

Graph condensation aims to reduce the size of a large-scale graph dataset by synthesizing a compact counterpart without sacrificing the performance of Graph Neural Networks (GNNs) trained on it, which has shed light on reducing the…

Machine Learning · Computer Science 2024-06-19 Yuchen Zhang , Tianle Zhang , Kai Wang , Ziyao Guo , Yuxuan Liang , Xavier Bresson , Wei Jin , Yang You

Graph condensation (GC), which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has benefited various graph learning tasks. However, existing GC methods rely on centralized data…

Machine Learning · Computer Science 2024-12-23 Bo Yan , Sihao He , Cheng Yang , Shang Liu , Yang Cao , Chuan Shi

The ability to align points across two related yet incomparable point clouds (e.g. living in different spaces) plays an important role in machine learning. The Gromov-Wasserstein (GW) framework provides an increasingly popular answer to…

Machine Learning · Computer Science 2023-02-07 Meyer Scetbon , Gabriel Peyré , Marco Cuturi

Graph Neural Networks (GNNs) face two fundamental challenges when scaled to deep architectures: oversmoothing, where node representations converge to indistinguishable vectors, and oversquashing, where information from distant nodes fails…

Machine Learning · Computer Science 2026-03-30 Mostafa Haghir Chehreghani

The dominant paradigm for machine learning on graphs uses Message Passing Graph Neural Networks (MP-GNNs), in which node representations are updated by aggregating information in their local neighborhood. Recently, there have been…

Machine Learning · Computer Science 2023-03-02 Daniel Glickman , Eran Yahav

Graph Neural Networks have become one of the indispensable tools to learn from graph-structured data, and their usefulness has been shown in wide variety of tasks. In recent years, there have been tremendous improvements in architecture…

Machine Learning · Statistics 2021-11-15 Sunil Kumar Maurya , Xin Liu , Tsuyoshi Murata

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

The assignment problem, a cornerstone of operations research, seeks an optimal one-to-one mapping between agents and tasks to minimize total cost. This work traces its evolution from classical formulations and algorithms to modern optimal…

Optimization and Control · Mathematics 2025-09-05 Iman Seyedi , Antonio Candelieri , Enza Messina , Francesco Archetti
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