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We propose a novel graph-driven generative model, that unifies multiple heterogeneous learning tasks into the same framework. The proposed model is based on the fact that heterogeneous learning tasks, which correspond to different…

Machine Learning · Computer Science 2019-11-21 Wenlin Wang , Hongteng Xu , Zhe Gan , Bai Li , Guoyin Wang , Liqun Chen , Qian Yang , Wenqi Wang , Lawrence Carin

Gaussian processes (GPs) are popular nonparametric statistical models for learning unknown functions and quantifying the spatiotemporal uncertainty in data. Recent works have extended GPs to model scalar and vector quantities distributed…

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Many interesting problems in machine learning are being revisited with new deep learning tools. For graph-based semisupervised learning, a recent important development is graph convolutional networks (GCNs), which nicely integrate local…

Machine Learning · Computer Science 2018-01-24 Qimai Li , Zhichao Han , Xiao-Ming Wu

We present a novel Multi-Relational Graph Convolutional Network (MRGCN) based framework to model on-road vehicle behaviors from a sequence of temporally ordered frames as grabbed by a moving monocular camera. The input to MRGCN is a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Sravan Mylavarapu , Mahtab Sandhu , Priyesh Vijayan , K Madhava Krishna , Balaraman Ravindran , Anoop Namboodiri

Geometric Representation Learning (GRL) aims to approximate the non-Euclidean topology of high-dimensional data through discrete graph structures, grounded in the manifold hypothesis. However, traditional static graph construction methods…

Machine Learning · Computer Science 2026-01-14 Chaoqun Fei , Huanjiang Liu , Tinglve Zhou , Yangyang Li , Tianyong Hao

Graph neural networks (GNNs) have been used extensively for addressing problems in drug design and discovery. Both ligand and target molecules are represented as graphs with node and edge features encoding information about atomic elements…

Machine Learning · Computer Science 2021-10-14 Dhananjay Bhaskar , Jackson D. Grady , Michael A. Perlmutter , Smita Krishnaswamy

With 6G evolving towards intelligent network autonomy, artificial intelligence (AI)-native operations are becoming pivotal. Wireless networks continuously generate rich and heterogeneous data, which inherently exhibits spatio-temporal graph…

Signal Processing · Electrical Eng. & Systems 2026-04-09 Zhonghao Jiu , Yongming Huang , Fan Meng , Hang Zhan , Zening Liu , Xiaohu You

Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

Machine Learning · Computer Science 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Riemannian submanifold optimization with momentum is computationally challenging because, to ensure that the iterates remain on the submanifold, we often need to solve difficult differential equations. Here, we simplify such difficulties…

Machine Learning · Statistics 2024-03-19 Wu Lin , Valentin Duruisseaux , Melvin Leok , Frank Nielsen , Mohammad Emtiyaz Khan , Mark Schmidt

Graph serves as a powerful tool for modeling data that has an underlying structure in non-Euclidean space, by encoding relations as edges and entities as nodes. Despite developments in learning from graph-structured data over the years, one…

Machine Learning · Computer Science 2022-12-20 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

As much as Graph Convolutional Networks (GCNs) have shown tremendous success in recommender systems and collaborative filtering (CF), the mechanism of how they, especially the core components (\textit{i.e.,} neighborhood aggregation)…

Information Retrieval · Computer Science 2022-04-26 Shaowen Peng , Kazunari Sugiyama , Tsunenori Mine

Graph generation poses a significant challenge as it involves predicting a complete graph with multiple nodes and edges based on simply a given label. This task also carries fundamental importance to numerous real-world applications,…

Machine Learning · Computer Science 2024-02-21 Xiandong Zou , Xiangyu Zhao , Pietro Liò , Yiren Zhao

Recently, Graph Convolutional Networks (GCNs) have been widely studied for graph-structured data representation and learning. However, in many real applications, data are coming with multiple graphs, and it is non-trivial to adapt GCNs to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Bo Jiang , Ziyan Zhang , Jin Tang , Bin Luo

Graph representation learning aims to encode all nodes of a graph into low-dimensional vectors that will serve as input of many compute vision tasks. However, most existing algorithms ignore the existence of inherent data distribution and…

Machine Learning · Computer Science 2020-08-04 Shuai Zheng , Zhenfeng Zhu , Xingxing Zhang , Zhizhe Liu , Jian Cheng , Yao Zhao

Graph convolutional networks (GCNs) is a class of artificial neural networks for processing data that can be represented as graphs. Since financial transactions can naturally be constructed as graphs, GCNs are widely applied in the…

Machine Learning · Computer Science 2023-03-30 Song Li , Jiandong Zhou , Chong MO , Jin LI , Geoffrey K. F. Tso , Yuxing Tian

Graph Neural Networks (GNNs) have been widely used for the representation learning of various structured graph data. While promising, most existing GNNs oversimplified the complexity and diversity of the edges in the graph, and thus…

Machine Learning · Computer Science 2021-10-07 Hao Peng , Ruitong Zhang , Yingtong Dou , Renyu Yang , Jingyi Zhang , Philip S. Yu

Graph neural networks (GNNs) face significant challenges with class imbalance, leading to biased inference results. To address this issue in heterogeneous graphs, we propose a novel framework that combines Graph Neural Network (GNN) and…

Machine Learning · Computer Science 2024-11-26 Hung-Chun Hsu , Bo-Jun Wu , Ming-Yi Hong , Che Lin , Chih-Yu Wang

Drug Discovery is a fundamental and ever-evolving field of research. The design of new candidate molecules requires large amounts of time and money, and computational methods are being increasingly employed to cut these costs. Machine…

Machine Learning · Statistics 2021-05-28 Pietro Bongini , Monica Bianchini , Franco Scarselli

Inthischapterwediscusshowtolearnanoptimalmanifoldpresentationto regularize nonegative matrix factorization (NMF) for data representation problems. NMF,whichtriestorepresentanonnegativedatamatrixasaproductoftwolowrank nonnegative matrices,…

Machine Learning · Computer Science 2014-10-09 Jim Jing-Yan Wang , Xin Gao