Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image Classification

Traditional sparse coding has proven to be an effective method for image feature representation in recent years, yielding promising results in image classification. However, it faces several challenges, such as sensitivity to feature variations, code instability, and inadequate distance measures. Ad...

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Main Authors: Ying Shi, Yuan Wan, Xinjian Wang, Huanhuan Li
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/2/219
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author Ying Shi
Yuan Wan
Xinjian Wang
Huanhuan Li
author_facet Ying Shi
Yuan Wan
Xinjian Wang
Huanhuan Li
author_sort Ying Shi
collection DOAJ
description Traditional sparse coding has proven to be an effective method for image feature representation in recent years, yielding promising results in image classification. However, it faces several challenges, such as sensitivity to feature variations, code instability, and inadequate distance measures. Additionally, image representation and classification often operate independently, potentially resulting in the loss of semantic relationships. To address these issues, a new method is proposed, called Histogram intersection and Semantic information-based Non-negativity Local Laplacian Sparse Coding (HS-NLLSC) for image classification. This method integrates Non-negativity and Locality into Laplacian Sparse Coding (NLLSC) optimisation, enhancing coding stability and ensuring that similar features are encoded into similar codewords. In addition, histogram intersection is introduced to redefine the distance between feature vectors and codebooks, effectively preserving their similarity. By comprehensively considering both the processes of image representation and classification, more semantic information is retained, thereby leading to a more effective image representation. Finally, a multi-class linear Support Vector Machine (SVM) is employed for image classification. Experimental results on four standard and three maritime image datasets demonstrate superior performance compared to the previous six algorithms. Specifically, the classification accuracy of our approach improved by 5% to 19% compared to the previous six methods. This research provides valuable insights for various stakeholders in selecting the most suitable method for specific circumstances.
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spelling doaj-art-eb68a77f35264b02a29a1b1ba25cb76a2025-01-24T13:39:47ZengMDPI AGMathematics2227-73902025-01-0113221910.3390/math13020219Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image ClassificationYing Shi0Yuan Wan1Xinjian Wang2Huanhuan Li3Department of Basic Courses, Suzhou City University, Suzhou 215104, ChinaSchool of Science, Wuhan University of Technology, Wuhan 430070, ChinaNavigation College, Dalian Maritime University, Dalian 116026, ChinaLiverpool Logistics, Offshore and Marine Research Institute, Liverpool John Moores University, Liverpool L3 3AF, UKTraditional sparse coding has proven to be an effective method for image feature representation in recent years, yielding promising results in image classification. However, it faces several challenges, such as sensitivity to feature variations, code instability, and inadequate distance measures. Additionally, image representation and classification often operate independently, potentially resulting in the loss of semantic relationships. To address these issues, a new method is proposed, called Histogram intersection and Semantic information-based Non-negativity Local Laplacian Sparse Coding (HS-NLLSC) for image classification. This method integrates Non-negativity and Locality into Laplacian Sparse Coding (NLLSC) optimisation, enhancing coding stability and ensuring that similar features are encoded into similar codewords. In addition, histogram intersection is introduced to redefine the distance between feature vectors and codebooks, effectively preserving their similarity. By comprehensively considering both the processes of image representation and classification, more semantic information is retained, thereby leading to a more effective image representation. Finally, a multi-class linear Support Vector Machine (SVM) is employed for image classification. Experimental results on four standard and three maritime image datasets demonstrate superior performance compared to the previous six algorithms. Specifically, the classification accuracy of our approach improved by 5% to 19% compared to the previous six methods. This research provides valuable insights for various stakeholders in selecting the most suitable method for specific circumstances.https://www.mdpi.com/2227-7390/13/2/219semantic informationimage representationimage classificationsparse codingsupport vector machine
spellingShingle Ying Shi
Yuan Wan
Xinjian Wang
Huanhuan Li
Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image Classification
Mathematics
semantic information
image representation
image classification
sparse coding
support vector machine
title Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image Classification
title_full Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image Classification
title_fullStr Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image Classification
title_full_unstemmed Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image Classification
title_short Incorporation of Histogram Intersection and Semantic Information into Non-Negative Local Laplacian Sparse Coding for Image Classification
title_sort incorporation of histogram intersection and semantic information into non negative local laplacian sparse coding for image classification
topic semantic information
image representation
image classification
sparse coding
support vector machine
url https://www.mdpi.com/2227-7390/13/2/219
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AT yuanwan incorporationofhistogramintersectionandsemanticinformationintononnegativelocallaplaciansparsecodingforimageclassification
AT xinjianwang incorporationofhistogramintersectionandsemanticinformationintononnegativelocallaplaciansparsecodingforimageclassification
AT huanhuanli incorporationofhistogramintersectionandsemanticinformationintononnegativelocallaplaciansparsecodingforimageclassification