{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:27:42Z","timestamp":1740122862829,"version":"3.37.3"},"reference-count":51,"publisher":"Springer Science and Business Media LLC","issue":"18","license":[{"start":{"date-parts":[[2023,11,23]],"date-time":"2023-11-23T00:00:00Z","timestamp":1700697600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,23]],"date-time":"2023-11-23T00:00:00Z","timestamp":1700697600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41930110"],"award-info":[{"award-number":["41930110"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multimed Tools Appl"],"DOI":"10.1007\/s11042-023-17423-1","type":"journal-article","created":{"date-parts":[[2023,11,23]],"date-time":"2023-11-23T05:01:44Z","timestamp":1700715704000},"page":"53715-53741","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Image edge preservation via low-rank residuals for robust subspace learning"],"prefix":"10.1007","volume":"83","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9509-1915","authenticated-orcid":false,"given":"Stanley Ebhohimhen","family":"Abhadiomhen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiang-Jun","family":"Shen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Heping","family":"Song","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sirui","family":"Tian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,11,23]]},"reference":[{"key":"17423_CR1","doi-asserted-by":"crossref","unstructured":"Abhadiomhen SE, Wang Z, Shen X (2021) Coupled low rank representation and subspace clustering. Appl Intell 1\u201317","DOI":"10.1155\/2021\/6639582"},{"issue":"7","key":"17423_CR2","doi-asserted-by":"publisher","first-page":"711","DOI":"10.1109\/34.598228","volume":"19","author":"PN Belhumeur","year":"1997","unstructured":"Belhumeur PN, Hespanha JP, Kriegman DJ (1997) Eigenfaces vs. fisherfaces: recognition using class specific linear projection. IEEE Trans Pattern Anal Mach Intell 19(7):711\u2013720","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"17423_CR3","unstructured":"Benyong SXLBL (2005) Face recognition based on block-PCA. Comput Eng Appl 27"},{"issue":"8\u20139","key":"17423_CR4","doi-asserted-by":"publisher","first-page":"1864","DOI":"10.1016\/j.laa.2008.05.020","volume":"429","author":"A B\u00f6ttcher","year":"2008","unstructured":"B\u00f6ttcher A, Wenzel D (2008) The frobenius norm and the commutator. Linear Algebra Appl 429(8\u20139):1864\u20131885","journal-title":"Linear Algebra Appl"},{"issue":"4","key":"17423_CR5","doi-asserted-by":"publisher","first-page":"1956","DOI":"10.1137\/080738970","volume":"20","author":"JF Cai","year":"2010","unstructured":"Cai JF, Cand\u00e8s EJ, Shen Z (2010) A singular value thresholding algorithm for matrix completion. SIAM J Optim 20(4):1956\u20131982","journal-title":"SIAM J Optim"},{"issue":"7","key":"17423_CR6","doi-asserted-by":"publisher","first-page":"2719","DOI":"10.1016\/j.patcog.2012.01.007","volume":"45","author":"WK Ching","year":"2012","unstructured":"Ching WK, Chu D, Liao LZ, Wang X (2012) Regularized orthogonal linear discriminant analysis. Pattern Recogn 45(7):2719\u20132732","journal-title":"Pattern Recogn"},{"issue":"3","key":"17423_CR7","doi-asserted-by":"publisher","first-page":"845","DOI":"10.1016\/S0031-3203(02)00092-4","volume":"36","author":"DQ Dai","year":"2003","unstructured":"Dai DQ, Yuen PC (2003) Regularized discriminant analysis and its application to face recognition. Pattern Recogn 36(3):845\u2013847","journal-title":"Pattern Recogn"},{"key":"17423_CR8","doi-asserted-by":"crossref","unstructured":"Doorsamy W, Rameshar V (2021) Investigation of PCA as a compression pre-processing tool for x-ray image classification. Neural Comput Appl 1\u201311","DOI":"10.1007\/s00521-020-05668-y"},{"key":"17423_CR9","doi-asserted-by":"crossref","unstructured":"Feng YY, Wu QB, Jing XN (2021) The MGHSS for solving continuous sylvester equation. Complexity 2021","DOI":"10.20944\/preprints202012.0022.v1"},{"key":"17423_CR10","doi-asserted-by":"crossref","unstructured":"Fu Z, Zhao Y, Chang D, Zhang X, Wang Y (2021) Double low-rank representation with projection distance penalty for clustering. In: Proceedings of the IEEE\/CVF conference on computer vision and pattern recognition, pp 5320\u20135329","DOI":"10.1109\/CVPR46437.2021.00528"},{"issue":"9","key":"17423_CR11","doi-asserted-by":"publisher","first-page":"2245","DOI":"10.1016\/j.ces.2009.01.050","volume":"64","author":"Z Ge","year":"2009","unstructured":"Ge Z, Yang C, Song Z (2009) Improved kernel PCA-based monitoring approach for nonlinear processes. Chem Eng Sci 64(9):2245\u20132255","journal-title":"Chem Eng Sci"},{"key":"17423_CR12","unstructured":"Gholamy A, Kreinovich V, Kosheleva O (2018) Why 70\/30 or 80\/20 relation between training and testing sets: a pedagogical explanation"},{"issue":"725\/36","key":"17423_CR13","first-page":"725","volume":"10","author":"G Gordon","year":"2012","unstructured":"Gordon G, Tibshirani R (2012) Karush-kuhn-tucker conditions. Optimization 10(725\/36):725","journal-title":"Optimization"},{"issue":"1","key":"17423_CR14","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1093\/biostatistics\/kxj035","volume":"8","author":"Y Guo","year":"2007","unstructured":"Guo Y, Hastie T, Tibshirani R (2007) Regularized linear discriminant analysis and its application in microarrays. Biostatistics 8(1):86\u2013100","journal-title":"Biostatistics"},{"issue":"4","key":"17423_CR15","doi-asserted-by":"publisher","first-page":"5067","DOI":"10.1007\/s11042-020-09942-y","volume":"80","author":"K Hajipour","year":"2021","unstructured":"Hajipour K, Mehrdad V (2021) Edge detection of noisy digital image using optimization of threshold and self organized map neural network. Multimedia Tools Appl 80(4):5067\u20135086","journal-title":"Multimedia Tools Appl"},{"issue":"16","key":"17423_CR16","first-page":"153","volume":"16","author":"X He","year":"2004","unstructured":"He X, Niyogi P (2004) Locality preserving projections. Adv Neural Inf Process Syst 16(16):153\u2013160","journal-title":"Adv Neural Inf Process Syst"},{"issue":"1\u20132","key":"17423_CR17","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/s10107-016-1034-2","volume":"162","author":"M Hong","year":"2017","unstructured":"Hong M, Luo ZQ (2017) On the linear convergence of the alternating direction method of multipliers. Math Program 162(1\u20132):165\u2013199","journal-title":"Math Program"},{"key":"17423_CR18","doi-asserted-by":"crossref","unstructured":"Hosseini M, Powell M, Collins J, Callahan-Flintoft C, Jones W, Bowman H, Wyble B (2020) I tried a bunch of things: the dangers of unexpected overfitting in classification of brain data. Neurosci Biobehav Rev 2020","DOI":"10.1016\/j.neubiorev.2020.09.036"},{"key":"17423_CR19","doi-asserted-by":"publisher","first-page":"108230","DOI":"10.1016\/j.knosys.2022.108230","volume":"241","author":"Hui Kf","year":"2022","unstructured":"Kf Hui, Xj Shen, Abhadiomhen SE, Zhan YZ (2022) Robust low-rank representation via residual projection for image classification. Knowl-Based Syst 241:108230","journal-title":"Knowl-Based Syst"},{"key":"17423_CR20","doi-asserted-by":"crossref","unstructured":"Indyk P, Naor A (2007) Nearest-neighbor-preserving embeddings. ACM Trans Algorithms (TALG) 3(3):31\u2013es","DOI":"10.1145\/1273340.1273347"},{"key":"17423_CR21","doi-asserted-by":"publisher","first-page":"108817","DOI":"10.1016\/j.sigpro.2022.108817","volume":"204","author":"L Jiang","year":"2023","unstructured":"Jiang L, Fang X, Sun W, Han N, Teng S (2023) Low-rank constraint based dual projections learning for dimensionality reduction. Signal Process 204:108817","journal-title":"Signal Process"},{"key":"17423_CR22","doi-asserted-by":"crossref","unstructured":"Li XP, Wang ZY, Shi ZL, So HC, Sidiropoulos ND (2023) Robust tensor completion via capped frobenius norm. IEEE Trans Neural Netw Learn Syst","DOI":"10.1109\/TNNLS.2023.3236415"},{"issue":"3","key":"17423_CR23","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1016\/j.csda.2004.10.005","volume":"50","author":"DH Lim","year":"2006","unstructured":"Lim DH (2006) Robust edge detection in noisy images. Computat Stat Data Anal 50(3):803\u2013812","journal-title":"Computat Stat Data Anal"},{"key":"17423_CR24","unstructured":"Lin Z, Chen M, Ma Y (2010) The augmented lagrange multiplier method for exact recovery of corrupted low-rank matrices. arXiv:1009.5055"},{"key":"17423_CR25","doi-asserted-by":"crossref","unstructured":"Liu G, Yan S (2011) Latent low-rank representation for subspace segmentation and feature extraction. In: 2011 international conference on computer vision, IEEE, pp 1615\u20131622","DOI":"10.1109\/ICCV.2011.6126422"},{"issue":"1","key":"17423_CR26","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1109\/TPAMI.2012.88","volume":"35","author":"G Liu","year":"2013","unstructured":"Liu G, Lin Z, Yan S, Sun J, Yu Y, Ma Y (2013) Robust recovery of subspace structures by low-rank representation. IEEE Trans Pattern Anal Mach Intell 35(1):171\u2013184","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"17423_CR27","doi-asserted-by":"publisher","first-page":"22941","DOI":"10.1109\/ACCESS.2019.2893915","volume":"7","author":"Z Liu","year":"2019","unstructured":"Liu Z, Wang J, Liu G, Pu J (2019) Sparse low-rank preserving projection for dimensionality reduction. IEEE Access 7:22941\u201322951","journal-title":"IEEE Access"},{"key":"17423_CR28","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1007\/s11063-015-9441-6","volume":"43","author":"GF Lu","year":"2016","unstructured":"Lu GF, Zou J, Wang Y (2016) A new and fast implementation of orthogonal LDA algorithm and its incremental extension. Neural Process Lett 43:687\u2013707","journal-title":"Neural Process Lett"},{"key":"17423_CR29","doi-asserted-by":"crossref","unstructured":"Luo C, Xiang Y (2014) Dimensionality reduction based on low rank representation. Open Automat Control Syst J 6(1)","DOI":"10.2174\/1874444301406010528"},{"issue":"7","key":"17423_CR30","first-page":"1747","volume":"19","author":"RD Nindrea","year":"2018","unstructured":"Nindrea RD, Aryandono T, Lazuardi L, Dwiprahasto I (2018) Diagnostic accuracy of different machine learning algorithms for breast cancer risk calculation: a meta-analysis. Asian Pac J Cancer Prev: APJCP 19(7):1747","journal-title":"Asian Pac J Cancer Prev: APJCP"},{"key":"17423_CR31","doi-asserted-by":"publisher","first-page":"107023","DOI":"10.1016\/j.patcog.2019.107023","volume":"98","author":"XJ Shen","year":"2020","unstructured":"Shen XJ, Liu SX, Bao BK, Pan CH, Zha ZJ, Fan J (2020) A generalized least-squares approach regularized with graph embedding for dimensionality reduction. Pattern Recogn 98:107023","journal-title":"Pattern Recogn"},{"issue":"5","key":"17423_CR32","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s12040-017-0850-y","volume":"126","author":"A Solgi","year":"2017","unstructured":"Solgi A, Pourhaghi A, Bahmani R, Zarei H (2017) Pre-processing data using wavelet transform and PCA based on support vector regression and gene expression programming for river flow simulation. J Earth Syst Sci 126(5):1\u201317","journal-title":"J Earth Syst Sci"},{"issue":"9","key":"17423_CR33","first-page":"1747","volume":"32","author":"C Tang","year":"2020","unstructured":"Tang C, Liu X, Zhu X, Xiong J, Li M, Xia J, Wang X, Wang L (2020) Feature selective projection with low-rank embedding and dual laplacian regularization. IEEE Trans Knowl Data Eng 32(9):1747\u20131760","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"17423_CR34","doi-asserted-by":"crossref","unstructured":"Turk M, Pentland A (1991) Eigenfaces for recognition. J Cogn Neurosci","DOI":"10.1162\/jocn.1991.3.1.71"},{"key":"17423_CR35","doi-asserted-by":"publisher","first-page":"109034","DOI":"10.1016\/j.patcog.2022.109034","volume":"133","author":"M Wan","year":"2023","unstructured":"Wan M, Chen X, Zhan T, Yang G, Tan H, Zheng H (2023) Low-rank 2d local discriminant graph embedding for robust image feature extraction. Pattern Recogn 133:109034","journal-title":"Pattern Recogn"},{"issue":"5","key":"17423_CR36","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1016\/j.patrec.2011.11.029","volume":"33","author":"H Wang","year":"2012","unstructured":"Wang H (2012) Block principal component analysis with l1-norm for image analysis. Pattern Recogn Lett 33(5):537\u2013542","journal-title":"Pattern Recogn Lett"},{"key":"17423_CR37","doi-asserted-by":"publisher","first-page":"1855","DOI":"10.1109\/TMM.2020.3003747","volume":"23","author":"Z Wang","year":"2020","unstructured":"Wang Z, Wang L, Wan J, Huang H (2020) Shared low-rank correlation embedding for multiple feature fusion. IEEE Trans Multimedia 23:1855\u20131867","journal-title":"IEEE Trans Multimedia"},{"issue":"14","key":"17423_CR38","doi-asserted-by":"publisher","first-page":"3573","DOI":"10.1049\/ipr2.12232","volume":"15","author":"ZY Wang","year":"2021","unstructured":"Wang ZY, Abhadiomhen SE, Liu ZF, Shen XJ, Gao WY, Li SY (2021) Multi-view intrinsic low-rank representation for robust face recognition and clustering. IET Image Process 15(14):3573\u20133584","journal-title":"IET Image Process"},{"key":"17423_CR39","doi-asserted-by":"publisher","first-page":"515","DOI":"10.1016\/j.patcog.2016.06.006","volume":"60","author":"J Wen","year":"2016","unstructured":"Wen J, Lai Z, Zhan Y, Cui J (2016) The l2, 1-norm-based unsupervised optimal feature selection with applications to action recognition. Pattern Recogn 60:515\u2013530","journal-title":"Pattern Recogn"},{"issue":"4","key":"17423_CR40","doi-asserted-by":"publisher","first-page":"1279","DOI":"10.1109\/TCYB.2018.2799862","volume":"49","author":"J Wen","year":"2018","unstructured":"Wen J, Han N, Fang X, Fei L, Yan K, Zhan S (2018) Low-rank preserving projection via graph regularized reconstruction. IEEE Trans Cybern 49(4):1279\u20131291","journal-title":"IEEE Trans Cybern"},{"issue":"4","key":"17423_CR41","doi-asserted-by":"publisher","first-page":"1418","DOI":"10.1109\/TCYB.2018.2884715","volume":"50","author":"J Wen","year":"2020","unstructured":"Wen J, Xu Y, Liu H (2020) Incomplete multiview spectral clustering with adaptive graph learning. IEEE Trans Cybern 50(4):1418\u20131429","journal-title":"IEEE Trans Cybern"},{"issue":"6","key":"17423_CR42","doi-asserted-by":"publisher","first-page":"2905","DOI":"10.1109\/TIP.2017.2691543","volume":"26","author":"WK Wong","year":"2017","unstructured":"Wong WK, Lai Z, Wen J, Fang X, Lu Y (2017) Low-rank embedding for robust image feature extraction. IEEE Trans Image Process 26(6):2905\u20132917","journal-title":"IEEE Trans Image Process"},{"issue":"2","key":"17423_CR43","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1109\/TPAMI.2008.79","volume":"31","author":"J Wright","year":"2008","unstructured":"Wright J, Yang AY, Ganesh A, Sastry SS, Ma Y (2008) Robust face recognition via sparse representation. IEEE Trans Pattern Anal Mach Intell 31(2):210\u2013227","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"11","key":"17423_CR44","doi-asserted-by":"publisher","first-page":"5261","DOI":"10.1109\/TIP.2018.2855426","volume":"27","author":"L Xie","year":"2018","unstructured":"Xie L, Yin M, Yin X, Liu Y, Yin G (2018) Low-rank sparse preserving projections for dimensionality reduction. IEEE Trans Image Process 27(11):5261\u20135274","journal-title":"IEEE Trans Image Process"},{"issue":"3","key":"17423_CR45","doi-asserted-by":"publisher","first-page":"1106","DOI":"10.1016\/j.patcog.2009.09.013","volume":"43","author":"Y Xu","year":"2010","unstructured":"Xu Y, Zhang D, Yang JY (2010) A feature extraction method for use with bimodal biometrics. Pattern Recogn 43(3):1106\u20131115","journal-title":"Pattern Recogn"},{"issue":"1","key":"17423_CR46","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1109\/TPAMI.2007.250598","volume":"29","author":"S Yan","year":"2006","unstructured":"Yan S, Xu D, Zhang B, Zhang HJ, Yang Q, Lin S (2006) Graph embedding and extensions: a general framework for dimensionality reduction. IEEE Trans Pattern Anal Mach Intell 29(1):40\u201351","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"3","key":"17423_CR47","doi-asserted-by":"publisher","first-page":"526","DOI":"10.1109\/TNNLS.2011.2182058","volume":"23","author":"S Zafeiriou","year":"2012","unstructured":"Zafeiriou S, Tzimiropoulos G, Petrou M, Stathaki T (2012) Regularized kernel discriminant analysis with a robust kernel for face recognition and verification. IEEE Trans Neural Netw Learn Syst 23(3):526\u2013534","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"17423_CR48","doi-asserted-by":"crossref","unstructured":"Zhang Y, Jiang Z, Davis LS (2013) Learning structured low-rank representations for image classification. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 676\u2013683","DOI":"10.1109\/CVPR.2013.93"},{"key":"17423_CR49","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.patcog.2017.05.003","volume":"70","author":"Y Zhang","year":"2017","unstructured":"Zhang Y, Xiang M, Yang B (2017) Low-rank preserving embedding. Pattern Recogn 70:112\u2013125","journal-title":"Pattern Recogn"},{"key":"17423_CR50","doi-asserted-by":"crossref","unstructured":"Zhou J, Pedrycz W, Wan J, Gao C, Lai ZH, Yue X (2022) Low-rank linear embedding for robust clustering. IEEE Trans Knowl Data Eng","DOI":"10.1109\/TKDE.2022.3144294"},{"issue":"8","key":"17423_CR51","doi-asserted-by":"publisher","first-page":"3517","DOI":"10.1109\/TCYB.2019.2918495","volume":"50","author":"T Zhou","year":"2019","unstructured":"Zhou T, Zhang C, Peng X, Bhaskar H, Yang J (2019) Dual shared-specific multiview subspace clustering. IEEE Trans Cybern 50(8):3517\u20133530","journal-title":"IEEE Trans Cybern"}],"container-title":["Multimedia Tools and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-023-17423-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11042-023-17423-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-023-17423-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,15]],"date-time":"2024-05-15T10:19:44Z","timestamp":1715768384000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11042-023-17423-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,23]]},"references-count":51,"journal-issue":{"issue":"18","published-online":{"date-parts":[[2024,5]]}},"alternative-id":["17423"],"URL":"https:\/\/doi.org\/10.1007\/s11042-023-17423-1","relation":{},"ISSN":["1573-7721"],"issn-type":[{"type":"electronic","value":"1573-7721"}],"subject":[],"published":{"date-parts":[[2023,11,23]]},"assertion":[{"value":"5 April 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 July 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 October 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 November 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest\/Competing interests"}},{"value":"Custom code implemented using MATLAB 2020a installed on an AMD Ryzen 9-5950X system with 64GB RAM.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Code availability"}}]}}