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We present LaplaceGNN, a novel self-supervised graph learning framework that bypasses the need for negative sampling by leveraging spectral bootstrapping techniques. Our method integrates Laplacian-based signals into the learning process,…

Machine Learning · Computer Science 2025-06-26 Lorenzo Bini , Stephane Marchand-Maillet

Semi-supervised learning (SSL) has made notable advancements in medical image segmentation (MIS), particularly in scenarios with limited labeled data and significantly enhancing data utilization efficiency. Previous methods primarily focus…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Mengzhu Wang , Jiao Li , Houcheng Su , Nan Yin , Liang Yang , Shen Li

This paper proposes a novel pixel-level distribution regularization scheme (DRSL) for self-supervised domain adaptation of semantic segmentation. In a typical setting, the classification loss forces the semantic segmentation model to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Javed Iqbal , Hamza Rawal , Rehan Hafiz , Yu-Tseh Chi , Mohsen Ali

Deep learning based molecular graph generation and optimization has recently been attracting attention due to its great potential for de novo drug design. On the one hand, recent models are able to efficiently learn a given graph…

Chemical Physics · Physics 2021-06-28 Rémy Brossard , Oriel Frigo , David Dehaene

Matching articulated shapes represented by voxel-sets reduces to maximal sub-graph isomorphism when each set is described by a weighted graph. Spectral graph theory can be used to map these graphs onto lower dimensional spaces and match…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Diana Mateus , Radu Horaud , David Knossow , Fabio Cuzzolin , Edmond Boyer

Multi-label learning is usually used to mine the correlation between features and labels, and feature selection can retain as much information as possible through a small number of features. $\ell_{2,1}$ regularization method can get sparse…

Machine Learning · Statistics 2023-03-31 Haibao Li , Hongzhi Zhai

The interconnectedness and interdependence of modern graphs are growing ever more complex, causing enormous resources for processing, storage, communication, and decision-making of these graphs. In this work, we focus on the task graph…

Machine Learning · Computer Science 2023-01-16 Ryan Wickman , Xiaofei Zhang , Weizi Li

We describe a computationally efficient, stochastic graph-regularization technique that can be utilized for the semi-supervised training of deep neural networks in a parallel or distributed setting. We utilize a technique, first described…

Machine Learning · Statistics 2018-05-31 Sunil Thulasidasan , Jeffrey Bilmes , Garrett Kenyon

Recommendation algorithm plays an important role in recommendation system (RS), which predicts users' interests and preferences for some given items based on their known information. Recently, a recommendation algorithm based on the graph…

Information Retrieval · Computer Science 2023-07-06 Guangrui Yang , Lihua Yang , Qing Zhang , Zhihua Yang

We investigate a variational method for ill-posed problems, named $\texttt{graphLa+}\Psi$, which embeds a graph Laplacian operator in the regularization term. The novelty of this method lies in constructing the graph Laplacian based on a…

Numerical Analysis · Mathematics 2024-10-22 Davide Bianchi , Davide Evangelista , Stefano Aleotti , Marco Donatelli , Elena Loli Piccolomini , Wenbin Li

Bi-stochastic normalization provides an alternative normalization of graph Laplacians in graph-based data analysis and can be computed efficiently by Sinkhorn-Knopp (SK) iterations. This paper proves the convergence of bi-stochastically…

Statistics Theory · Mathematics 2024-07-19 Xiuyuan Cheng , Boris Landa

Dimensionality reduction is a crucial first step for many unsupervised learning tasks including anomaly detection and clustering. Autoencoder is a popular mechanism to accomplish dimensionality reduction. In order to make dimensionality…

Machine Learning · Computer Science 2021-03-12 Imtiaz Ahmed , Travis Galoppo , Xia Hu , Yu Ding

Masked graph autoencoder (MGAE) has emerged as a promising self-supervised graph pre-training (SGP) paradigm due to its simplicity and effectiveness. However, existing efforts perform the mask-then-reconstruct operation in the raw data…

Machine Learning · Computer Science 2023-04-07 Wenxuan Tu , Qing Liao , Sihang Zhou , Xin Peng , Chuan Ma , Zhe Liu , Xinwang Liu , Zhiping Cai

Graph-Laplacians and their spectral embeddings play an important role in multiple areas of machine learning. This paper is focused on graph-Laplacian dimension reduction for the spectral clustering of data as a primary application. Spectral…

Machine Learning · Computer Science 2021-09-08 Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

Semi-supervised learning (SSL) over graph-structured data emerges in many network science applications. To efficiently manage learning over graphs, variants of graph neural networks (GNNs) have been developed recently. By succinctly…

Machine Learning · Computer Science 2021-10-22 Alireza Sadeghi , Meng Ma , Bingcong Li , Georgios B. Giannakis

Learning meaningful graphs from data plays important roles in many data mining and machine learning tasks, such as data representation and analysis, dimension reduction, data clustering, and visualization, etc. In this work, for the first…

Machine Learning · Computer Science 2020-07-30 Yongyu Wang , Zhiqiang Zhao , Zhuo Feng

In this work, we address the solution of both linear and nonlinear ill-posed inverse problems by developing a novel graph-based regularization framework, where the regularization term is formulated through an iteratively updated graph…

Numerical Analysis · Mathematics 2026-01-21 Harshit Bajpai , Ankik Kumar Giri

We study the problem of supervised learning for both binary and multiclass classification from a unified geometric perspective. In particular, we propose a geometric regularization technique to find the submanifold corresponding to a robust…

Machine Learning · Computer Science 2016-02-12 Qinxun Bai , Steven Rosenberg , Zheng Wu , Stan Sclaroff

In the graph signal processing (GSP) literature, it has been shown that signal-dependent graph Laplacian regularizer (GLR) can efficiently promote piecewise constant (PWC) signal reconstruction for various image restoration tasks. However,…

Image and Video Processing · Electrical Eng. & Systems 2021-06-21 Fei Chen , Gene Cheung , Xue Zhang

Semi-supervised learning methods have been explored in medical image segmentation tasks due to the scarcity of pixel-level annotation in the real scenario. Proto-type alignment based consistency constraint is an intuitional and plausible…

Image and Video Processing · Electrical Eng. & Systems 2022-06-07 Zhenxi Zhang , Chunna Tian , Zhicheng Jiao
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