{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,25]],"date-time":"2026-01-25T13:05:50Z","timestamp":1769346350738,"version":"3.49.0"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2012,3,30]],"date-time":"2012-03-30T00:00:00Z","timestamp":1333065600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2012,8]]},"DOI":"10.1007\/s00500-012-0843-3","type":"journal-article","created":{"date-parts":[[2012,3,29]],"date-time":"2012-03-29T07:52:08Z","timestamp":1333007528000},"page":"1393-1409","source":"Crossref","is-referenced-by-count":3,"title":["Random walk-based fuzzy linear discriminant analysis for dimensionality reduction"],"prefix":"10.1007","volume":"16","author":[{"given":"Mingbo","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tommy W. S.","family":"Chow","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhao","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,3,30]]},"reference":[{"issue":"7","key":"843_CR1","doi-asserted-by":"crossref","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"},{"issue":"10","key":"843_CR2","doi-asserted-by":"crossref","first-page":"1713","DOI":"10.1016\/S0031-3203(99)00139-9","volume":"33","author":"L Chen","year":"2000","unstructured":"Chen L, Liao H, Ko M, Lin J, Yu G (2000) A new LDA-based face recognition system which can solve the small sample size problem. Pattern Recogn 33(10):1713\u20131726","journal-title":"Pattern Recogn"},{"key":"843_CR3","unstructured":"Chung FRK (1997) Spectral graph theory. American Mathematical Society, Providence"},{"key":"843_CR4","first-page":"1","volume":"7","author":"J Demsar","year":"2006","unstructured":"Demsar J (2006) Statistical comparisons of classifiers over multiple data sets. J Mach Learn Res 7:1\u201330","journal-title":"J Mach Learn Res"},{"key":"843_CR5","doi-asserted-by":"crossref","unstructured":"Fukunaga K (1990) Introduction to statistical pattern classification. Academic Press, New York","DOI":"10.1016\/B978-0-08-047865-4.50007-7"},{"key":"843_CR6","first-page":"2677","volume":"9","author":"S Garcia","year":"2008","unstructured":"Garcia S, Herrera F (2008) An extension on \u201cStatistical Comparisons of Classifiers over Multiple Datasets\u201d for all Pairwise Comparisons. J Mach Learn Res 9:2677\u20132694","journal-title":"J Mach Learn Res"},{"key":"843_CR7","unstructured":"Graham DB, Allinson NM (1998) Characterizing virtual eigensignatures for general purpose face recognition in face recognition: from theory to application. NATO ASI Series F, Computer and Systems Sciences, vol 163, pp 446\u2013456"},{"key":"843_CR8","doi-asserted-by":"crossref","unstructured":"Hastie T, Tibshirani R, Friedman J (2001) The elements of statistical learning data mining, inference and prediction. Springer, Berlin","DOI":"10.1007\/978-0-387-21606-5"},{"issue":"3","key":"843_CR9","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1109\/TPAMI.2005.55","volume":"27","author":"X He","year":"2005","unstructured":"He X, Yan S, Hu Y, Niyogi P, Zhang H (2005) Face recognition using Laplacianfaces. IEEE Trans Pattern Anal Mach Intell 27(3):328\u2013340","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"8","key":"843_CR10","doi-asserted-by":"crossref","first-page":"995","DOI":"10.1109\/TPAMI.2004.46","volume":"26","author":"P Howland","year":"2004","unstructured":"Howland P, Park H (2004) Generalizing discriminant analysis using the generalized singular value decomposition. IEEE Trans Pattern Anal Mach Intell 26(8):995\u20131005","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"5","key":"843_CR11","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1109\/34.291440","volume":"16","author":"J Hull","year":"1994","unstructured":"Hull J (1994) A database for handwritten text recognition research. IEEE Trans Pattern Recogn Mach Intell 16(5):550\u2013554","journal-title":"IEEE Trans Pattern Recogn Mach Intell"},{"issue":"4","key":"843_CR12","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1109\/TSMC.1985.6313426","volume":"15","author":"JM Keller","year":"1985","unstructured":"Keller JM, Gray MR, Givens JA (1985) A fuzzy k-nearest neighbor algorithm. IEEE Trans Syst Man Cybern 15(4):580\u2013585","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"10","key":"843_CR13","doi-asserted-by":"crossref","first-page":"1717","DOI":"10.1016\/j.patcog.2005.01.018","volume":"38","author":"KC Kwak","year":"2005","unstructured":"Kwak KC, Pedrycz W (2005) Face recognition using a fuzzy Fisherface classifier. Pattern Recogn 38(10):1717\u20131732","journal-title":"Pattern Recogn"},{"key":"843_CR14","doi-asserted-by":"crossref","unstructured":"Liu X, Lu C, Chen F (2010) Spatial outlier detection: random walk based approaches. In: ACM SIG SPATIAL Proceedings of GIS","DOI":"10.1145\/1869790.1869841"},{"key":"843_CR15","doi-asserted-by":"crossref","unstructured":"Moonesignhe HDK, Tan P (2006) Outlier detection using random walks. In: Proceedings of ICTAI","DOI":"10.1109\/ICTAI.2006.94"},{"issue":"2","key":"843_CR16","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1109\/72.914517","volume":"12","author":"KR Muller","year":"2001","unstructured":"Muller KR, Mika S, Ratsch G, Tsuda K, Scholkopf B (2001) An introduction to kernel-based learning algorithms. IEEE Trans Neural Netw 12(2):181\u2013201","journal-title":"IEEE Trans Neural Netw"},{"key":"843_CR17","unstructured":"Nene SA, Nayar SK, Murase H (1996) Columbia object image library (COIL-20). Technical report CUCS-005-96, Columbia University"},{"key":"843_CR18","doi-asserted-by":"crossref","first-page":"2323","DOI":"10.1126\/science.290.5500.2323","volume":"290","author":"S Roweis","year":"2000","unstructured":"Roweis S, Saul L (2000) Nonlinear dimensionality reduction by locally linear embedding. Science 290:2323\u20132326","journal-title":"Science"},{"issue":"1","key":"843_CR19","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1016\/j.asoc.2009.07.002","volume":"10","author":"X Song","year":"2009","unstructured":"Song X, Zheng Y, Wu X, Yang X, Yang J (2009) A complete fuzzy discriminant analysis approach for face recognition. Appl Soft Comput 10(1):208\u2013214","journal-title":"Appl Soft Comput"},{"issue":"1","key":"843_CR20","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1016\/j.amc.2006.06.103","volume":"185","author":"T Sun","year":"2007","unstructured":"Sun T, Chen S (2007) Class label versus sample label-based CCA. Appl Math Comput 185(1):272\u2013283","journal-title":"Appl Math Comput"},{"key":"843_CR21","doi-asserted-by":"crossref","unstructured":"Sun L, Ceran B, Ye J (2010) A scalable two-stage approach for a class of dimensionality reduction techniques. In: Proceedings of KDD","DOI":"10.1145\/1835804.1835846"},{"key":"843_CR22","doi-asserted-by":"crossref","first-page":"2319","DOI":"10.1126\/science.290.5500.2319","volume":"290","author":"JB Tenenbaum","year":"2000","unstructured":"Tenenbaum JB, de Silva V, Langford JC (2000) A global geometric framework for nonlinear dimensionality reduction. Science 290:2319\u20132323","journal-title":"Science"},{"key":"843_CR23","doi-asserted-by":"crossref","unstructured":"Turk M, Pentland A (1991) Face recognition using Eigenfaces. In: Proceedings of CVPR","DOI":"10.1109\/CVPR.1991.139758"},{"key":"843_CR24","doi-asserted-by":"crossref","unstructured":"Wang X, Davidson I (2009) Discovering contexts and contextual outliers using random walks in graphs. In: Proceedings of ICDM","DOI":"10.1109\/ICDM.2009.95"},{"issue":"2","key":"843_CR25","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1109\/TPAMI.2005.33","volume":"27","author":"J Yang","year":"2005","unstructured":"Yang J, Frangi AF, Yang J, Zhang D, Jin Z (2005) KPCA plus LDA: a complete kernel Fisher discriminant framework for feature extraction and recognition. IEEE Trans Pattern Anal Mach Intell 27(2):230\u2013244","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"843_CR26","unstructured":"Ye J (2005) Characterization of a family of algorithms for generalized discriminant analysis on undersampled problems. J Mach Learn Res 6:483\u2013502"},{"key":"843_CR27","doi-asserted-by":"crossref","unstructured":"Ye J (2007) Least square linear discriminant analysis. In: Proceedings of ICML","DOI":"10.1145\/1273496.1273633"},{"issue":"6","key":"843_CR28","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1109\/TPAMI.2005.110","volume":"27","author":"J Ye","year":"2005","unstructured":"Ye J, Li Q (2005) A two-stage linear discirminant analysis via QR-decomposition. IEEE Trans Pattern Anal Mach Intell 27(6):929\u2013941","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"10","key":"843_CR29","doi-asserted-by":"crossref","first-page":"2067","DOI":"10.1016\/S0031-3203(00)00162-X","volume":"34","author":"H Yu","year":"2001","unstructured":"Yu H, Yang J (2001) A direct LDA algorithm for high-dimensional data with application to face recognition. Pattern Recogn 34(10):2067\u20132070","journal-title":"Pattern Recogn"},{"key":"843_CR30","doi-asserted-by":"crossref","unstructured":"Zhang Z, Dai G, Jordan MI (2009) A flexible and efficient algorithm for regularized Fisher discriminant analysis. In: Proceedings of ECML PKDD","DOI":"10.1007\/978-3-642-04174-7_41"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-012-0843-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-012-0843-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-012-0843-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,26]],"date-time":"2019-06-26T03:00:29Z","timestamp":1561518029000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-012-0843-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3,30]]},"references-count":30,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2012,8]]}},"alternative-id":["843"],"URL":"https:\/\/doi.org\/10.1007\/s00500-012-0843-3","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3,30]]}}}