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Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

Graph embedding has been widely applied in areas such as network analysis, social network mining, recommendation systems, and bioinformatics. However, current graph construction methods often require the prior definition of neighborhood…

Machine Learning · Computer Science 2025-10-08 S. Peng , L. Hu , W. Zhang , B. Jie , Y. Luo

Many real-world problems require reasoning across multiple scales, demanding models which operate not on single data points, but on entire distributions. We introduce generative distribution embeddings (GDE), a framework that lifts…

Machine Learning · Computer Science 2026-02-23 Nic Fishman , Gokul Gowri , Peng Yin , Jonathan Gootenberg , Omar Abudayyeh

Graph representation learning (a.k.a. network embedding) is a significant topic of network analysis, due to its effectiveness to support various graph inference tasks. In this paper, we study the representation learning with multiple…

Social and Information Networks · Computer Science 2023-05-17 Meng Qin

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

Patterns stored within pre-trained deep neural networks compose large and powerful descriptive languages that can be used for many different purposes. Typically, deep network representations are implemented within vector embedding spaces,…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Dario Garcia-Gasulla , Armand Vilalta , Ferran Parés , Jonatan Moreno , Eduard Ayguadé , Jesus Labarta , Ulises Cortés , Toyotaro Suzumura

Generative modeling aims to generate new data samples that resemble a given dataset, with diffusion models recently becoming the most popular generative model. One of the main challenges of diffusion models is solving the problem in the…

Numerical Analysis · Mathematics 2025-10-08 Wonjun Lee , Riley C. W. O'Neill , Dongmian Zou , Jeff Calder , Gilad Lerman

Graph neural networks (GNNs) on text--attributed graphs (TAGs) typically encode node texts using pretrained language models (PLMs) and propagate these embeddings through linear neighborhood aggregation. However, the representation spaces of…

Graph Masked Autoencoders (GMAEs) have emerged as a notable self-supervised learning approach for graph-structured data. Existing GMAE models primarily focus on reconstructing node-level information, categorizing them as single-scale GMAEs.…

Machine Learning · Computer Science 2026-03-19 Chuang Liu , Zelin Yao , Xueqi Ma , Mukun Chen , Luzhi Wang , Jia Wu , Wenbin Hu

Auto-encoders have emerged as a successful framework for unsupervised learning. However, conventional auto-encoders are incapable of utilizing explicit relations in structured data. To take advantage of relations in graph-structured data,…

Machine Learning · Computer Science 2019-05-28 Amin Salehi , Hasan Davulcu

Current deep learning-based manifold learning algorithms such as the variational autoencoder (VAE) require fully sampled data to learn the probability density of real-world datasets. Once learned, the density can be used for a variety of…

Image and Video Processing · Electrical Eng. & Systems 2021-12-13 Qing Zou , Abdul Haseeb Ahmed , Prashant Nagpal , Sarv Priya , Rolf Schulte , Mathews Jacob

We present two instances, L-GAE and L-VGAE, of the variational graph auto-encoding family (VGAE) based on separating feature propagation operations from graph convolution layers typically found in graph learning methods to a single linear…

Machine Learning · Computer Science 2019-10-22 Paul Scherer , Helena Andres-Terre , Pietro Lio , Mateja Jamnik

Graph self-supervised learning (SSL), including contrastive and generative approaches, offers great potential to address the fundamental challenge of label scarcity in real-world graph data. Among both sets of graph SSL techniques, the…

Machine Learning · Computer Science 2023-04-12 Zhenyu Hou , Yufei He , Yukuo Cen , Xiao Liu , Yuxiao Dong , Evgeny Kharlamov , Jie Tang

Floorplans are commonly used to represent the layout of buildings. In computer aided-design (CAD) floorplans are usually represented in the form of hierarchical graph structures. Research works towards computational techniques that…

Machine Learning · Computer Science 2021-06-04 Vahid Azizi , Muhammad Usman , Honglu Zhou , Petros Faloutsos , Mubbasir Kapadia

Embedding graphs in continous spaces is a key factor in designing and developing algorithms for automatic information extraction to be applied in diverse tasks (e.g., learning, inferring, predicting). The reliability of graph embeddings…

Machine Learning · Computer Science 2023-11-30 Andrea Marinoni , Pietro Lio' , Alessandro Barp , Christian Jutten , Mark Girolami

Manifold learning aims to discover and represent low-dimensional structures underlying high-dimensional data while preserving critical topological and geometric properties. Existing methods often fail to capture local details with global…

Machine Learning · Computer Science 2025-05-08 Ren Wang , Pengcheng Zhou

Many applications today, such as NLP, network analysis, and code analysis, rely on semantically embedding objects into low-dimensional fixed-length vectors. Such embeddings naturally provide a way to perform useful downstream tasks, such as…

Machine Learning · Computer Science 2020-02-25 Gurbinder Gill , Roshan Dathathri , Saeed Maleki , Madan Musuvathi , Todd Mytkowicz , Olli Saarikivi

Training deep graph neural networks (GNNs) poses a challenging task, as the performance of GNNs may suffer from the number of hidden message-passing layers. The literature has focused on the proposals of {over-smoothing} and…

Machine Learning · Statistics 2023-02-27 Yirui Liu , Xinghao Qiao , Liying Wang , Jessica Lam

Heterogeneous graph neural networks aim to discover discriminative node embeddings and relations from multi-relational networks.One challenge of heterogeneous graph learning is the design of learnable meta-paths, which significantly…

Machine Learning · Computer Science 2023-04-19 Zhaoliang Chen , Zhihao Wu , Luying Zhong , Claudia Plant , Shiping Wang , Wenzhong Guo

Deep generative models (DGMs) have achieved remarkable advances. Semi-supervised variational auto-encoders (SVAE) as a classical DGM offer a principled framework to effectively generalize from small labelled data to large unlabelled ones,…

Social and Information Networks · Computer Science 2019-11-01 Zaiqiao Meng , Shangsong Liang , Jinyuan Fang , Teng Xiao