Mathematical Methods for Machine Learning and Computer Vision

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: 31 July 2025 | Viewed by 1301

Special Issue Editor


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Guest Editor
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
Interests: high-dimensional data modeling; machine learning (deep learning); data mining; compressed sensing; tensor sparse modeling; function approximation theory

Special Issue Information

Dear Colleagues,

Recent decades have witnessed the rapid developments of machine learning and computer vision, as well as their huge influence in many fields such as image recognition and classification, automatic driving, industrial manufacturing, medical imaging, to name a few. One of the crucial challenge in machine learning and computer vision is the development and utilization of different kinds of models and algorithms building bridges between data and the potential tasks. Over the past two decades, a number of mathematical methods represented by compressed sensing, high-order tensor modeling, and alternating direction method of multipliers, have been well developed to help construct the desired models and algorithms in machine learning and computer vision.

This Special Issue mainly focuses on the significant developments on the machine learning and computer vision, especially on their mathematical methods on related models and algorithms, including but not limited to those in the following topics: image recognition and classification, sparse/low-rank subspace clustering, convex clustering, compressed sensing, recommendation system, matrix/tensor completion, robust principal components analysis, alternating direction method of multipliers.

Prof. Dr. Jianjun Wang
Guest Editor

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Keywords

  • image recognition and classification
  • subspace clustering
  • convex clustering
  • compressed sensing
  • recommendation system
  • matrix/tensor completion
  • robust principal components analysis
  • tensor modeling
  • alternating direction method of multipliers

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Published Papers (1 paper)

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Research

17 pages, 16110 KiB  
Article
Low-Light Image Enhancement Integrating Retinex-Inspired Extended Decomposition with a Plug-and-Play Framework
by Chenping Zhao, Wenlong Yue, Yingjun Wang, Jianping Wang, Shousheng Luo, Huazhu Chen and Yan Wang
Mathematics 2024, 12(24), 4025; https://doi.org/10.3390/math12244025 - 22 Dec 2024
Viewed by 703
Abstract
Images captured under low-light conditions often suffer from serious degradation due to insufficient light, which adversely impacts subsequent computer vision tasks. Retinex-based methods have demonstrated strong potential in low-light image enhancement. However, existing approaches often directly design prior regularization functions for either illumination [...] Read more.
Images captured under low-light conditions often suffer from serious degradation due to insufficient light, which adversely impacts subsequent computer vision tasks. Retinex-based methods have demonstrated strong potential in low-light image enhancement. However, existing approaches often directly design prior regularization functions for either illumination or reflectance components, which may unintentionally introduce noise. To address these limitations, this paper presents an enhancement method by integrating a Plug-and-Play strategy into an extended decomposition model. The proposed model consists of three main components: an extended decomposition term, an iterative reweighting regularization function for the illumination component, and a Plug-and-Play refinement term applied to the reflectance component. The extended decomposition enables a more precise representation of image components, while the iterative reweighting mechanism allows for gentle smoothing near edges and brighter areas while applying more pronounced smoothing in darker regions. Additionally, the Plug-and-Play framework incorporates off-the-shelf image denoising filters to effectively suppress noise and preserve useful image details. Extensive experiments on several datasets confirm that the proposed method consistently outperforms existing techniques. Full article
(This article belongs to the Special Issue Mathematical Methods for Machine Learning and Computer Vision)
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