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Low-rank matrix completion has achieved great success in many real-world data applications. A matrix factorization model that learns latent features is usually employed and, to improve prediction performance, the similarities between latent…

Machine Learning · Statistics 2020-01-28 Kaiyi Ji , Jian Tan , Jinfeng Xu , Yuejie Chi

Graph Neural Networks (GNNs) have enjoyed wide spread applications in graph-structured data. However, existing graph based applications commonly lack annotated data. GNNs are required to learn latent patterns from a limited amount of…

Machine Learning · Computer Science 2023-03-22 Wenqi Wei , Mu Qiao , Divyesh Jadav

The scalable solution of large sparse linear systems is a bottleneck in scientific computing and graph analysis. While algebraic multigrid (AMG) offers optimal linear scaling, its performance is severely constrained by the trade-off between…

Machine Learning · Computer Science 2026-05-27 Yali Fink , Ido Ben-Yair , Lars Ruthotto , Eran Treister

Graph Representation Learning (GRL) methods have impacted fields from chemistry to social science. However, their algorithmic implementations are specialized to specific use-cases e.g.message passing methods are run differently from node…

Graph neural networks (GNNs) have been shown promising in improving the efficiency of learning communication policies by leveraging their permutation properties. Nonetheless, existing works design GNNs only for specific wireless policies,…

Signal Processing · Electrical Eng. & Systems 2023-08-22 Shengjie Liu , Jia Guo , Chenyang Yang

This paper investigates the multi-agent navigation problem, which requires multiple agents to reach the target goals in a limited time. Multi-agent reinforcement learning (MARL) has shown promising results for solving this issue. However,…

Robotics · Computer Science 2023-02-09 Xinyi Yang , Shiyu Huang , Yiwen Sun , Yuxiang Yang , Chao Yu , Wei-Wei Tu , Huazhong Yang , Yu Wang

Graph neural networks (GNNs) are powerful tools for learning from graph data and are widely used in various applications such as social network recommendation, fraud detection, and graph search. The graphs in these applications are…

Machine Learning · Computer Science 2021-06-14 Jialin Dong , Da Zheng , Lin F. Yang , Geroge Karypis

Graph Neural Networks (GNNs) are routinely used in molecular physics, social sciences, and economics to model many-body interactions in graph-like systems. However, GNNs are inherently local and can suffer from information flow bottlenecks.…

Computational Physics · Physics 2025-02-21 Alessandro Caruso , Jacopo Venturin , Lorenzo Giambagli , Edoardo Rolando , Frank Noé , Cecilia Clementi

This paper introduces a promising alternative method for training Generative Adversarial Networks (GANs) on large-scale datasets with clear theoretical guarantees. GANs are typically learned through a minimax game between a generator and a…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Chang Wan , Ke Fan , Xinwei Sun , Yanwei Fu , Minglu Li , Yunliang Jiang , Zhonglong Zheng

Graph Neural Networks (GNNs) have shown promising performance, but at the cost of resource-intensive operations on graph-scale matrices. To reduce computational overhead, previous studies attempt to sparsify the graph or network parameters,…

Machine Learning · Computer Science 2025-07-11 Ningyi Liao , Zihao Yu , Ruixiao Zeng , Siqiang Luo

Mean field game (MFG) is an expressive modeling framework for systems with a continuum of interacting agents. While many approaches exist for solving the forward MFG, few have studied its \textit{inverse} problem. In this work, we seek to…

Optimization and Control · Mathematics 2025-07-28 Han Huang , Jiajia Yu , Tianyi Chen , Rongjie Lai

Existing deep learning methods for solving mean-field games (MFGs) with common noise fix the sampling common noise paths and then solve the corresponding MFGs. This leads to a nested-loop structure with millions of simulations of common…

Optimization and Control · Mathematics 2021-06-08 Ming Min , Ruimeng Hu

Modern AI systems often comprise multiple learnable components that can be naturally organized as graphs. A central challenge is the end-to-end training of such systems without restrictive architectural or training assumptions. Such tasks…

Multiagent Systems · Computer Science 2025-12-30 Maksim Kryzhanovskiy , Svetlana Glazyrina , Roman Ischenko , Konstantin Vorontsov

Graph Neural Networks (GNNs) have led to state-of-the-art performance on a variety of machine learning tasks such as recommendation, node classification and link prediction. Graph neural network models generate node embeddings by merging…

Machine Learning · Computer Science 2020-11-04 Yunpeng Weng , Xu Chen , Liang Chen , Wei Liu

Generative Adversarial Networks (GANs) typically suffer from overfitting when limited training data is available. To facilitate GAN training, current methods propose to use data-specific augmentation techniques. Despite the effectiveness,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-07 Jie Cao , Mandi Luo , Junchi Yu , Ming-Hsuan Yang , Ran He

This paper proposes an exploration technique for multi-agent reinforcement learning (MARL) with graph-based communication among agents. We assume the individual rewards received by the agents are independent of the actions by the other…

Machine Learning · Computer Science 2025-08-11 Ainur Zhaikhan , Ali H. Sayed

Mean field games (MFG) and mean field control (MFC) are critical classes of multi-agent models for efficient analysis of massive populations of interacting agents. Their areas of application span topics in economics, finance, game theory,…

Machine Learning · Computer Science 2022-06-08 Lars Ruthotto , Stanley Osher , Wuchen Li , Levon Nurbekyan , Samy Wu Fung

Graph Neural Networks (GNNs) are well-suited for learning on homophilous graphs, i.e., graphs in which edges tend to connect nodes of the same type. Yet, achievement of consistent GNN performance on heterophilous graphs remains an open…

Machine Learning · Computer Science 2023-08-30 Andrea Cavallo , Claas Grohnfeldt , Michele Russo , Giulio Lovisotto , Luca Vassio

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

Machine Learning · Statistics 2019-04-02 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Huan Song , Andreas Spanias

Foundation Models (FMs) serve as a general class for the development of artificial intelligence systems, offering broad potential for generalization across a spectrum of downstream tasks. Despite extensive research into self-supervised…

Machine Learning · Computer Science 2024-06-17 Yuhao Xu , Xinqi Liu , Keyu Duan , Yi Fang , Yu-Neng Chuang , Daochen Zha , Qiaoyu Tan