[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
research-article

Regularized semi-supervised KLFDA algorithm based on density peak clustering

Published: 01 November 2022 Publication History

Abstract

To solve the problem that the existing semi-supervised FISHER discriminant analysis algorithm (FDA) cannot effectively use both labeled and unlabeled data for learning, we propose a semi-supervised Kernel local FDA Algorithm based on density peak clustering pseudo-labels (SDPCKLFDA). First, the proposed algorithm adopts the density peak clustering algorithm to generate the pseudo cluster labels for labeled and unlabeled data, and then the generated pseudo-labels are explored to construct two regularization strategies. The two regularization strategies are used to regularize the corresponding within-class scatter matrix and between-class scatter matrix of the local Fisher discriminant analysis, and finally the optimal projection vector is obtained by solving the objective function of the local Fisher discriminant analysis. The two constructed regularization strategies can not only effectively enhance the discriminant performance of the extracted feature but also make the proposed algorithm suitable for multimodal and noisy data. In addition, to accommodate nonlinear and non-Gaussian datasets, we also develop a kernel version of the proposed algorithm with the help of kernel trick. In the experiment, the proposed algorithm is compared with the FDA and its improved algorithms on some benchmark artificial datasets and UCI datasets. The experimental results show that the discriminant performance of the proposed algorithm has been significantly improved compared with the other algorithms.

References

[1]
Liu J, Jiang P, Song C, et al. Manifold-preserving sparse graph and deviation information based Fisher discriminant analysis for industrial fault classification considering label-noise and unobserved faults IEEE Sens J 2022 04 1 1-1
[2]
Zaatour R, Bouzidi S, and Zagrouba E Class-adapted local fisher discriminant analysis to reduce highly-dimensioned data on commodity hardware: application to hyperspectral images Multimed Tools Appl 2019 78 12 17113-17134
[3]
Zaatour R, Bouzidi S, and Zagrouba E Unsupervised image-adapted local fisher discriminant analysis to reduce hyperspectral images without ground truth IEEE Trans Geosci Remote 2020 58 11 7931-7941
[4]
Dong SQ, Zeng LB, Liu JJ, et al. Fracture identification in tight reservoirs by multiple kernel Fisher discriminant analysis using conventional logs Interpretation-J Sub 2020 8 4 215-225
[5]
Zhao DL, Lin ZC, Xiao R, and Tang XO Linear Laplacian discrimination for feature extraction IEEE CVPR 2007
[6]
Sugiyama M Dimensionality reduction of multimodal labeled data by local fisher discriminant analysis J Mach Learn Res 2007 8 1027-1061
[7]
Dugué N, Lamirel JC, and Chen Y Evaluating clustering quality using features salience: a promising approach Neural Com 2021 33 12939-12956
[8]
Lamirel JC, Chen Y, Cuxac P, Shehabi SA, and Dugué N An overview of the history of Science of Science in China based on the use of bibliographic and citation data: a new method of analysis based on clustering with feature maximization and contrast graphs Scientometrics 2020 125 2971-2999
[9]
Thuy NN and Wongthanavasu S A novel feature selection method for high-dimensional mixed decision tables IEEE Trans Neur Net Lear 2021
[10]
Zhong WC, Chen XJ, Nie FP, et al. Adaptive discriminant analysis for semi-supervised feature selection Inform Sci 2021 566 8 178-194
[11]
Tavernier J, Simm J, Meerbergen K, et al. Fast semi-supervised discriminant analysis for binary classification of large data sets Pattern Recognit 2019 91 86-99
[12]
Lv WJ, Kang Y, Zheng WX, et al. Feature-temporal semi-supervised extreme learning machine for robotic terrain classification IEEE Trans Circuits-ii 2020 67 12 3567-3571
[13]
Rodriguez A and Laio A Clustering by fast search and find of density peaks Science 2014 334 6191 1492-1496
[14]
Cho HJ, Kang SJ, and Kim YH Image segmentation using linked mean-shift vectors and global/local attributes IEEE Trans Circ Syst Vid 2017 27 10 2132-2140
[15]
Cai D, He XF, Han JW (2007) Semi-supervised discriminant analysis. In: IEEE ICCV Rio de Janeiro, Brazil, pp 1–7.
[16]
Song YQ, Nie FP, Zhang CS, et al. A unified framework for semi-supervised dimensionality reduction Pattern Recognit 2008 41 9 2789-2799
[17]
Jiang L, Xuan JP, and Shi TL Feature extraction based on semi-supervised kernel Marginal Fisher analysis and its application in bearing fault diagnosis Mech Syst Signal Pr 2013 41 1–2 113-126
[18]
Huang SC, Tang YC, Lee CW, et al. Kernel local Fisher discriminant analysis-based manifold-regularized SVM model for financial distress predictions Expert Syst Appl 2011 39 3 3855-3861
[19]
Sugiyama M, Ide T, Nakajima S, and Sese J Semi-supervised local fisher discriminant analysis for dimensionality reduction Mach Learn 2010 78 1–2 35-61
[20]
Liao WZ, Pizurica A, Scheunders P, et al. Semisupervised local discriminant analysis for feature extraction in hyperspectral images IEEE Trans Geosci Remote 2013 51 1 184-198
[21]
Nie FP, Xiang SM, Jia YQ, et al. Semi-supervised orthogonal discriminant analysis via label propagation Pattern Recognit 2009 42 11 2615-2627
[22]
Zhao MB, Zhang Z, Chow TWS, and Li B A general soft label based linear discriminant analysis for semi-supervised dimensionality reduction Neural Netw 2014 55 83-97
[23]
Lu JW, Zhou XZ, Tan YP, et al. Cost-sensitive semi-supervised discriminant analysis for face recognition IEEE Trans Inf Foren Sec 2012 7 3 944-953
[24]
Zhang Y and Yeung DY Semisupervised generalized discriminant analysis IEEE Trans Neural Netw 2011 22 8 1207-1217
[25]
Wang S, Lu JF, Gu XJ, et al. Semi-supervised linear discriminant analysis for dimension reduction and classification Pattern Recognit 2016 57 C 179-189
[26]
Chen PH, Jiao LC, Liu F, et al. Semi-supervised double sparse graphs based discriminant analysis for dimensionality reduction Pattern Recognit 2017 61 361-378
[27]
Wu H and Prasad S Semi-supervised dimensionality reduction of hyperspectral imagery using pseudo-labels Pattern Recognit 2017 74 212-224
[28]
Lu N, Lin H, Lu J, and Zhang GQ A customer churn prediction model in telecom industry using boosting IEEE Trans Ind Inform 2014 10 2 1659-1665
[29]
Zhu ZB and Song ZH A Novel Fault diagnosis system using pattern classification on kernel FDA subspace Expert Syst Appl 2011 38 6895-6905
[30]
Wan ST and Zhang X Teager energy entropy ratio of wavelet packet transform and its application in bearing fault diagnosis Entropy 2018 20 5 1-19
[31]
Tao XM, Guo WJ, Ren C, et al. Density peak clustering using global and local consistency adjustable manifold distance Inform Sci 2021 577 769-804
[32]
Zelnik-Manor L and Perona P Self-tuning spectral clustering Adv Neur In 2004 17 1601-1608
[33]
Ester M, Kriegel HP, Sander J, and Xu X A density-based algorithm for discovering clusters in large spatial databases with noise KDD 1996 96 226-231
[34]
Fritzke B A growing neural gas network learns topologies Adv Neur In 1994 7 625-632
[35]
Tobin J, Zhang MM (2021) DCF: an efficient and robust density-based clustering method. In: 2021 IEEE ICDM 629–638.

Cited By

View all
  • (2023)Laplacian generalized elastic net Lp-norm nonparallel support vector machine for semi-supervised classificationNeural Computing and Applications10.1007/s00521-023-08548-335:21(15857-15875)Online publication date: 1-Jul-2023

Index Terms

  1. Regularized semi-supervised KLFDA algorithm based on density peak clustering
        Index terms have been assigned to the content through auto-classification.

        Recommendations

        Comments

        Please enable JavaScript to view thecomments powered by Disqus.

        Information & Contributors

        Information

        Published In

        cover image Neural Computing and Applications
        Neural Computing and Applications  Volume 34, Issue 22
        Nov 2022
        1022 pages
        ISSN:0941-0643
        EISSN:1433-3058
        Issue’s Table of Contents

        Publisher

        Springer-Verlag

        Berlin, Heidelberg

        Publication History

        Published: 01 November 2022
        Accepted: 31 May 2022
        Received: 09 September 2021

        Author Tags

        1. Dimensionality reduction
        2. Feature extraction
        3. Fisher discriminant analysis
        4. Semi-supervised learning

        Qualifiers

        • Research-article

        Funding Sources

        Contributors

        Other Metrics

        Bibliometrics & Citations

        Bibliometrics

        Article Metrics

        • Downloads (Last 12 months)0
        • Downloads (Last 6 weeks)0
        Reflects downloads up to 22 Dec 2024

        Other Metrics

        Citations

        Cited By

        View all
        • (2023)Laplacian generalized elastic net Lp-norm nonparallel support vector machine for semi-supervised classificationNeural Computing and Applications10.1007/s00521-023-08548-335:21(15857-15875)Online publication date: 1-Jul-2023

        View Options

        View options

        Media

        Figures

        Other

        Tables

        Share

        Share

        Share this Publication link

        Share on social media