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Numerous important problems can be framed as learning from graph data. We propose a framework for learning convolutional neural networks for arbitrary graphs. These graphs may be undirected, directed, and with both discrete and continuous…

Machine Learning · Computer Science 2016-06-09 Mathias Niepert , Mohamed Ahmed , Konstantin Kutzkov

This is a tutorial and survey paper for nonlinear dimensionality and feature extraction methods which are based on the Laplacian of graph of data. We first introduce adjacency matrix, definition of Laplacian matrix, and the interpretation…

Machine Learning · Statistics 2022-08-09 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

Probabilistic theory and differential equation are powerful tools for the interpretability and guidance of the design of machine learning models, especially for illuminating the mathematical motivation of learning latent variable from…

Machine Learning · Computer Science 2025-02-13 Zhuangwei Shi

The problem of graph learning concerns the construction of an explicit topological structure revealing the relationship between nodes representing data entities, which plays an increasingly important role in the success of many graph-based…

Machine Learning · Statistics 2021-10-20 Xingyue Pu , Siu Lun Chau , Xiaowen Dong , Dino Sejdinovic

The assumption of independence between observations (units) in a dataset is prevalent across various methodologies for learning causal graphical models. However, this assumption often finds itself in conflict with real-world data, posing…

Machine Learning · Computer Science 2024-12-31 Alex Chen , Qing Zhou

Graph structure learning aims to learn connectivity in a graph from data. It is particularly important for many computer vision related tasks since no explicit graph structure is available for images for most cases. A natural way to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-26 Yaohua Wang , FangYi Zhang , Ming Lin , Senzhang Wang , Xiuyu Sun , Rong Jin

This work proposes a decentralized architecture, where individual agents aim at solving a classification problem while observing streaming features of different dimensions and arising from possibly different distributions. In the context of…

Machine Learning · Computer Science 2022-12-27 Virginia Bordignon , Stefan Vlaski , Vincenzo Matta , Ali H. Sayed

We study the problem of learning features through self-supervision that are generalisable to multiple graphs. State-of-the-art graph self-supervision restricts training to only one graph, resulting in graph-specific models that are…

Machine Learning · Computer Science 2024-07-31 Laya Das , Sai Munikoti , Nrushad Joshi , Mahantesh Halappanavar

Unsupervised multimodal change detection is a practical and challenging topic that can play an important role in time-sensitive emergency applications. To address the challenge that multimodal remote sensing images cannot be directly…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Hongruixuan Chen , Naoto Yokoya , Chen Wu , Bo Du

Graph machine learning has been widely explored in various domains, such as community detection, transaction analysis, and recommendation systems. In these applications, anomaly detection plays an important role. Recently, studies have…

Machine Learning · Computer Science 2025-11-21 Wei Herng Choong , Jixing Liu , Ching-Yu Kao , Philip Sperl

In recent years, deep learning based methods have shown success in essential medical image analysis tasks such as segmentation. Post-processing and refining the results of segmentation is a common practice to decrease the misclassifications…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Ufuk Demir , Atahan Ozer , Yusuf H. Sahin , Gozde Unal

Most existing popular methods for learning graph embedding only consider fixed-order global structural features and lack structures hierarchical representation. To address this weakness, we propose a novel graph embedding algorithm named…

Machine Learning · Computer Science 2021-02-03 Xue Liu , Wei Wei , Xiangnan Feng , Xiaobo Cao , Dan Sun

Learning the distance metric between pairs of examples is of great importance for visual recognition, especially for person re-identification (Re-Id). Recently, the contrastive and triplet loss are proposed to enhance the discriminative…

Computer Vision and Pattern Recognition · Computer Science 2017-07-26 De Cheng , Yihong Gong , Zhihui Li , Weiwei Shi , Alexander G. Hauptmann , Nanning Zheng

In this paper, the problem of decentralized eigenvalue decomposition of a general symmetric matrix that is important, e.g., in Principal Component Analysis, is studied, and a decentralized online learning algorithm is proposed. Instead of…

Signal Processing · Electrical Eng. & Systems 2023-08-14 Yufan Fan , Minh Trinh-Hoang , Cemil Emre Ardic , Marius Pesavento

Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

Machine Learning · Computer Science 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

Real-world multimodal data usually exhibit complex structural relationships beyond traditional one-to-one mappings like image-caption pairs. Entities across modalities interact in intricate ways, with images and text forming diverse…

Machine Learning · Computer Science 2025-10-21 Xuying Ning , Dongqi Fu , Tianxin Wei , Wujiang Xu , Jingrui He

Existing methods for differentiable structure learning in discrete data typically assume that the data are generated from specific structural equation models. However, these assumptions may not align with the true data-generating process,…

Machine Learning · Computer Science 2025-10-28 Chang Deng , Bryon Aragam

We introduce the Graph Mixture Density Networks, a new family of machine learning models that can fit multimodal output distributions conditioned on graphs of arbitrary topology. By combining ideas from mixture models and graph…

Machine Learning · Computer Science 2021-06-28 Federico Errica , Davide Bacciu , Alessio Micheli

Spectral geometric methods have brought revolutionary changes to the field of geometry processing. Of particular interest is the study of the Laplacian spectrum as a compact, isometry and permutation-invariant representation of a shape.…

Graphics · Computer Science 2023-03-13 Robin Magnet , Maks Ovsjanikov

Recently, graph convolutional network (GCN) has been widely used for semi-supervised classification and deep feature representation on graph-structured data. However, existing GCN generally fails to consider the local invariance constraint…

Computer Vision and Pattern Recognition · Computer Science 2018-09-27 Bo Jiang , Doudou Lin