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Graph-based semi-supervised learning (GSSL) has been used successfully in various applications. Existing methods leverage the graph structure and labeled samples for classification. Label Propagation (LP) and Graph Neural Networks (GNNs)…

Machine Learning · Computer Science 2023-10-10 Yuanhang Shao , Xiuwen Liu

We propose Embedding Propagation (EP), an unsupervised learning framework for graph-structured data. EP learns vector representations of graphs by passing two types of messages between neighboring nodes. Forward messages consist of label…

Machine Learning · Computer Science 2017-10-10 Alberto Garcia-Duran , Mathias Niepert

The Laplacian-constrained Gaussian Markov Random Field (LGMRF) is a common multivariate statistical model for learning a weighted sparse dependency graph from given data. This graph learning problem can be formulated as a maximum likelihood…

Machine Learning · Computer Science 2024-04-15 Yakov Medvedovsky , Eran Treister , Tirza Routtenberg

Motivated by the PageRank model for graph partitioning, we develop an extension of PageRank for partitioning uniform hypergraphs. Starting from adjacency tensors of uniform hypergraphs, we establish the multi-linear pseudo-PageRank (MLPPR)…

Optimization and Control · Mathematics 2023-06-21 Yannan Chen , Wen Li , Jingya Chang

With the growth of interest in network data across fields, the Exponential Random Graph Model (ERGM) has emerged as the leading approach to the statistical analysis of network data. ERGM parameter estimation requires the approximation of an…

Computation · Statistics 2017-08-10 Christian S. Schmid , Bruce A. Desmarais

The aim of this paper is to propose a novel framework to infer the sheaf Laplacian, including the topology of a graph and the restriction maps, from a set of data observed over the nodes of a graph. The proposed method is based on sheaf…

Signal Processing · Electrical Eng. & Systems 2025-02-03 Leonardo Di Nino , Sergio Barbarossa , Paolo Di Lorenzo

We introduce a graph renormalization procedure based on the coarse-grained Laplacian, which generates reduced-complexity representations for characteristic scales identified through the spectral gap. This method retains both diffusion…

Statistical Mechanics · Physics 2024-11-20 M. Schmidt , F. Caccioli , T. Aste

Many scientific datasets are of high dimension, and the analysis usually requires visual manipulation by retaining the most important structures of data. Principal curve is a widely used approach for this purpose. However, many existing…

Artificial Intelligence · Computer Science 2016-01-19 Qi Mao , Li Wang , Ivor W. Tsang , Yijun Sun

The Laplacian representation recently gains increasing attention for reinforcement learning as it provides succinct and informative representation for states, by taking the eigenvectors of the Laplacian matrix of the state-transition graph…

Machine Learning · Computer Science 2021-07-13 Kaixin Wang , Kuangqi Zhou , Qixin Zhang , Jie Shao , Bryan Hooi , Jiashi Feng

Significant progress has been made in semi-supervised hyperspectral image (HSI) classification regarding feature extraction and classification performance. However, due to high annotation costs and limited sample availability,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Yunfei Qiu , Qiqiong Ma , Tianhua Lv , Li Fang , Shudong Zhou , Wei Yao

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

Graph Representation Learning (GRL) is a fundamental task in machine learning, aiming to encode high-dimensional graph-structured data into low-dimensional vectors. Self-Supervised Learning (SSL) methods are widely used in GRL because they…

Machine Learning · Computer Science 2025-06-13 Shifeng Xie , Aref Einizade , Jhony H. Giraldo

Image super-resolution (SR) is an effective way to enhance the spatial resolution and detail information of remote sensing images, to obtain a superior visual quality. As SR is severely ill-conditioned, effective image priors are necessary…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Jing Sun , Huanfeng Shen , Qiangqiang Yuan , Liangpei Zhang

Co-clustering targets on grouping the samples (e.g., documents, users) and the features (e.g., words, ratings) simultaneously. It employs the dual relation and the bilateral information between the samples and features. In many realworld…

Machine Learning · Computer Science 2016-11-18 Ping Li , Jiajun Bu , Chun Chen , Zhanying He , Deng Cai

We derive a family of linear inference algorithms that generalize existing graph-based label propagation algorithms by allowing them to propagate generalized assumptions about "attraction" or "compatibility" between classes of neighboring…

Machine Learning · Computer Science 2016-12-30 Wolfgang Gatterbauer

Deep models have improved state-of-the-art for both supervised and unsupervised learning. For example, deep embedded clustering (DEC) has greatly improved the unsupervised clustering performance, by using stacked autoencoders for…

In this paper, we propose a novel multi-label learning framework, called Multi-Label Self-Paced Learning (MLSPL), in an attempt to incorporate the self-paced learning strategy into multi-label learning regime. In light of the benefits of…

Machine Learning · Computer Science 2016-04-07 Changsheng Li , Fan Wei , Junchi Yan , Weishan Dong , Qingshan Liu , Xiaoyu Zhang , Hongyuan Zha

Learning the manifold structure of remote sensing images is of paramount relevance for modeling and understanding processes, as well as to encapsulate the high dimensionality in a reduced set of informative features for subsequent…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Gulsen Taskin , Gustau Camps-Valls

Manifold learning approaches seek the intrinsic, low-dimensional data structure within a high-dimensional space. Mainstream manifold learning algorithms, such as Isomap, UMAP, $t$-SNE, Diffusion Map, and Laplacian Eigenmaps do not use data…

Machine Learning · Statistics 2023-07-04 Jake S. Rhodes

Multi-view subspace clustering (MSC) is a popular unsupervised method by integrating heterogeneous information to reveal the intrinsic clustering structure hidden across views. Usually, MSC methods use graphs (or affinity matrices) fusion…

Machine Learning · Computer Science 2023-08-15 Yidi Wang , Xiaobing Pei , Haoxi Zhan