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In this contribution, we demonstrate that Graph Neural Networks and Transformers can learn to reason about geometric constraints. We train them to predict spatial position of points in a discrete 2D grid from a set of constraints that…

Machine Learning · Computer Science 2026-03-03 Jan Hůla , David Mojžíšek , Jiří Janeček , David Herel , Mikoláš Janota

This paper tackles the challenging problem of jointly inferring time-varying network topologies and imputing missing data from partially observed graph signals. We propose a unified non-convex optimization framework to simultaneously…

Machine Learning · Statistics 2026-05-07 Chuansen Peng , Xiaojing Shen

We consider structure discovery of undirected graphical models from observational data. Inferring likely structures from few examples is a complex task often requiring the formulation of priors and sophisticated inference procedures.…

Machine Learning · Statistics 2017-08-04 Eugene Belilovsky , Kyle Kastner , Gaël Varoquaux , Matthew Blaschko

Recently, there is a revival of interest in low-rank matrix completion-based unsupervised learning through the lens of dual-graph regularization, which has significantly improved the performance of multidisciplinary machine learning tasks…

Machine Learning · Computer Science 2022-09-07 Yangge Chen , Lei Cheng , Yik-Chung Wu

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

Machine Learning · Computer Science 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

Graph is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

Machine Learning · Computer Science 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen

Recently, there has been a growing interest in the problem of learning rich implicit models - those from which we can sample, but can not evaluate their density. These models apply some parametric function, such as a deep network, to a base…

Machine Learning · Statistics 2017-09-05 Josip Djolonga , Andreas Krause

Graph neural networks (GNNs) have emerged as powerful tools for learning protein structures by capturing spatial relationships at the residue level. However, existing GNN-based methods often face challenges in learning multiscale…

Machine Learning · Computer Science 2026-02-03 Shih-Hsin Wang , Yuhao Huang , Taos Transue , Justin Baker , Jonathan Forstater , Thomas Strohmer , Bao Wang

Graph Neural Networks (GNNs) have attracted considerable attention and have emerged as a new promising paradigm to process graph-structured data. GNNs are usually stacked to multiple layers and the node representations in each layer are…

Machine Learning · Computer Science 2020-09-25 Yihao Chen , Xin Tang , Xianbiao Qi , Chun-Guang Li , Rong Xiao

Supervised learning techniques have proven their efficacy in many applications with abundant data. However, applying these methods to medical imaging is challenging due to the scarcity of data, given the high acquisition costs and intricate…

Image and Video Processing · Electrical Eng. & Systems 2025-08-25 Kevin Arias , Edwin Vargas , Kumar Vijay Mishra , Antonio Ortega , Henry Arguello

Graph representation learning is to learn universal node representations that preserve both node attributes and structural information. The derived node representations can be used to serve various downstream tasks, such as node…

Machine Learning · Computer Science 2020-11-16 Yuxiang Ren , Bo Liu , Chao Huang , Peng Dai , Liefeng Bo , Jiawei Zhang

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

Graphs are widely used to describe real-world objects and their interactions. Graph Neural Networks (GNNs) as a de facto model for analyzing graphstructured data, are highly sensitive to the quality of the given graph structures. Therefore,…

Machine Learning · Computer Science 2022-02-16 Yanqiao Zhu , Weizhi Xu , Jinghao Zhang , Yuanqi Du , Jieyu Zhang , Qiang Liu , Carl Yang , Shu Wu

How can we learn effective node representations on textual graphs? Graph Neural Networks (GNNs) that use Language Models (LMs) to encode textual information of graphs achieve state-of-the-art performance in many node classification tasks.…

Learning discriminative node representations benefits various downstream tasks in graph analysis such as community detection and node classification. Existing graph representation learning methods (e.g., based on random walk and contrastive…

Machine Learning · Computer Science 2022-02-15 Xiaotian Han , Zhimeng Jiang , Ninghao Liu , Qingquan Song , Jundong Li , Xia Hu

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

Despite the recent success of Graph Neural Networks (GNNs), training GNNs on large graphs remains challenging. The limited resource capacities of the existing servers, the dependency between nodes in a graph, and the privacy concern due to…

Machine Learning · Computer Science 2022-03-15 Morteza Ramezani , Weilin Cong , Mehrdad Mahdavi , Mahmut T. Kandemir , Anand Sivasubramaniam

We present a deep neural network to predict structural similarity between 2D layouts by leveraging Graph Matching Networks (GMN). Our network, coined LayoutGMN, learns the layout metric via neural graph matching, using an attention-based…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Akshay Gadi Patil , Manyi Li , Matthew Fisher , Manolis Savva , Hao Zhang

The construction of a meaningful graph plays a crucial role in the success of many graph-based representations and algorithms for handling structured data, especially in the emerging field of graph signal processing. However, a meaningful…

Machine Learning · Computer Science 2016-02-23 Xiaowen Dong , Dorina Thanou , Pascal Frossard , Pierre Vandergheynst