{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,27]],"date-time":"2024-05-27T18:10:17Z","timestamp":1716833417146},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,6,13]],"date-time":"2014-06-13T00:00:00Z","timestamp":1402617600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Pattern Anal Applic"],"published-print":{"date-parts":[[2016,2]]},"DOI":"10.1007\/s10044-014-0379-5","type":"journal-article","created":{"date-parts":[[2014,6,12]],"date-time":"2014-06-12T05:36:03Z","timestamp":1402551363000},"page":"21-40","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Histogram-based embedding for learning on statistical manifolds"],"prefix":"10.1007","volume":"19","author":[{"given":"Yue","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuancai","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jian","family":"Zou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,6,13]]},"reference":[{"issue":"11","key":"379_CR1","doi-asserted-by":"crossref","first-page":"2093","DOI":"10.1109\/TPAMI.2009.67","volume":"31","author":"KM Carter","year":"2009","unstructured":"Carter KM, Reich R, Finn WG, Hero AO (2009) FINE: Fisher information non-parametric embedding. IEEE Trans Pattern Anal Mach Intell 31(11):2093\u20132098","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"5","key":"379_CR2","doi-asserted-by":"crossref","first-page":"1148","DOI":"10.1109\/TKDE.2012.47","volume":"25","author":"Z Zhang","year":"2013","unstructured":"Zhang Z, Chow TWS, Zhao MB (2013) Trace ratio optimization-based semi-supervised nonlinear dimensionality reduction for marginal manifold visualization. IEEE Trans Knowl Data Eng 25(5):1148\u20131161","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"379_CR3","unstructured":"Lebanon G (2005) Information geometry, the embedding principle, and document classification. In: 2nd International Symposium on Information Geometry and its Applications, 1\u20138"},{"key":"379_CR4","unstructured":"Donoho D (2000) High-dimensional data analysis: The curses and blessings of dimensionality, Aide-Memoire of a Lecture at AMS conference on Math Challenges of 21st Century. http:\/\/www-stat.stanford.edu\/~donoho\/Lectures\/AMS2000\/AMS2000.html"},{"key":"379_CR5","doi-asserted-by":"crossref","unstructured":"Beyer KS, Goldstein J, Ramakrishnan R, Shaft U (1999) When is \u201cnearest neighbor\u201d meaningful? In: Proc. Int\u2019l Conf. Database Theory, pp 217\u2013235","DOI":"10.1007\/3-540-49257-7_15"},{"issue":"3","key":"379_CR6","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1016\/j.cviu.2007.09.017","volume":"110","author":"Y Fu","year":"2008","unstructured":"Fu Y, Li Z, Huang TS, Katsaggelos AK (2008) Locally adaptive subspace and similarity metric learning for visual data clustering and retrieval. Comput Vis Image Underst 110(3):390\u2013402","journal-title":"Comput Vis Image Underst"},{"key":"379_CR7","unstructured":"Van Der Maaten LJP, Postma EO, Van Den Herik HJ (2009) Dimensionality reduction: A comparative review. TiCC TR 2009-005"},{"key":"379_CR8","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1126\/science.295.5552.7a","volume":"295","author":"M Balasubramanian","year":"2002","unstructured":"Balasubramanian M, Schwartz EL (2002) The Isomap algorithm and topological stability. Science 295:7","journal-title":"Science"},{"issue":"9","key":"379_CR9","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1109\/TPAMI.2006.184","volume":"28","author":"S Lafon","year":"2006","unstructured":"Lafon S, Lee AB (2006) Diffusion maps and coarse-graining: a unified framework for dimensionality reduction, graph partitioning, and data set parameterization. IEEE Trans Pattern Anal Mach Intell 28(9):1393\u20131403","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"379_CR10","first-page":"2579","volume":"9","author":"L Maaten Van der","year":"2008","unstructured":"Van der Maaten L (2008) Visualizing data using t-SNE. J Mach Learn Res 9:2579\u20132605","journal-title":"J Mach Learn Res"},{"issue":"1","key":"379_CR11","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1057\/palgrave.ivs.9500040","volume":"2","author":"A Morrison","year":"2003","unstructured":"Morrison A, Ross G, Chalmers M (2003) Fast multidimensional scaling through sampling, springs and interpolation. Inf Vis 2(1):68\u201377","journal-title":"Inf Vis"},{"key":"379_CR12","doi-asserted-by":"crossref","first-page":"2323","DOI":"10.1126\/science.290.5500.2323","volume":"290","author":"ST Roweis","year":"2000","unstructured":"Roweis ST, Saul LK (2000) Nonlinear dimensionality reduction by locally linear embedding. Science 290:2323\u20132326","journal-title":"Science"},{"key":"379_CR13","first-page":"585","volume":"14","author":"M Belkin","year":"2002","unstructured":"Belkin M, Niyogi P (2002) Laplacian Eigenmaps and spectral techniques for embedding and clustering. Neural Inf Process Systems 14:585\u2013591","journal-title":"Neural Inf Process Systems"},{"issue":"21","key":"379_CR14","doi-asserted-by":"crossref","first-page":"7426","DOI":"10.1073\/pnas.0500334102","volume":"102","author":"DL Donoho","year":"2005","unstructured":"Donoho DL, Grimes C (2005) Hessian Eigenmaps: new locally linear embedding techniques for high-dimensional data. Proc Natl Acad Sci 102(21):7426\u20137431","journal-title":"Proc Natl Acad Sci"},{"issue":"6","key":"379_CR15","doi-asserted-by":"crossref","first-page":"2189","DOI":"10.1016\/j.eswa.2012.10.044","volume":"40","author":"C Orsenigo","year":"2013","unstructured":"Orsenigo C, Vercellis C (2013) A comparative study of nonlinear manifold learning methods for cancer microarray data classification. Expert Syst Appl 40(6):2189\u20132197","journal-title":"Expert Syst Appl"},{"issue":"4","key":"379_CR16","doi-asserted-by":"crossref","first-page":"1088","DOI":"10.1109\/TSMCB.2011.2106208","volume":"41","author":"B Xie","year":"2011","unstructured":"Xie B, Mu Y, Tao DC, Huang KZ (2011) m-SNE: multiview stochastic neighbor embedding. IEEE Trans Systems Man Cybern Part B 41(4):1088\u20131096","journal-title":"IEEE Trans Systems Man Cybern Part B"},{"key":"379_CR17","unstructured":"Lebanon G (2005) Riemannian geometry and statistical machine learning. PhD thesis, Carnegie Mellon University"},{"key":"379_CR18","doi-asserted-by":"crossref","unstructured":"Lee S-M, Abbott AL, Araman PA (2007) Dimensionality reduction and clustering on statistical manifolds. In: Proceedings of IEEE International Conference on CVPR, pp 1\u20137","DOI":"10.1109\/CVPR.2007.383408"},{"key":"379_CR19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-3-642-39140-8_1","volume":"7953","author":"F Nielsen","year":"2013","unstructured":"Nielsen F (2013) Pattern learning and recognition on statistical manifolds: an information-geometric review. Lect Notes Comput Sci 7953:1\u201325","journal-title":"Lect Notes Comput Sci"},{"issue":"1","key":"379_CR20","doi-asserted-by":"crossref","first-page":"434","DOI":"10.1016\/j.patcog.2012.06.018","volume":"46","author":"J Zou","year":"2013","unstructured":"Zou J, Liu CC, Zhang Y, Lu GF (2013) Object recognition using Gabor co-occurrence similarity. Pattern Recogn 46(1):434\u2013448","journal-title":"Pattern Recogn"},{"issue":"6","key":"379_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neucom.2012.12.053","volume":"117","author":"Y Zhang","year":"2013","unstructured":"Zhang Y, Liu CC (2013) Gabor feature-based face recognition on product gamma manifold via region weighting. Neurocomputing 117(6):1\u201311","journal-title":"Neurocomputing"},{"key":"379_CR22","volume-title":"Methods of information geometry","author":"S Amari","year":"2000","unstructured":"Amari S, Nagaoka H (2000) Methods of information geometry. AMS and Oxford U. Press, USA"},{"key":"379_CR23","unstructured":"Mio W, Badlyans D, Liu XW (2005) A computational approach to Fisher information geometry with applications to image analysis, 3757. Springer, Berlin, pp 18\u201333"},{"issue":"1","key":"379_CR24","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.jmp.2005.08.003","volume":"50","author":"J Zhang","year":"2006","unstructured":"Zhang J, H\u00e4st\u00f6 P (2006) Statistical manifold as an affine space: a functional equation approach. J Math Psychol 50(1):60\u201365","journal-title":"J Math Psychol"},{"issue":"8","key":"379_CR25","doi-asserted-by":"crossref","first-page":"1625","DOI":"10.1016\/S0031-3203(00)00054-6","volume":"34","author":"R Brunelli","year":"2001","unstructured":"Brunelli R, Mich O (2001) Histograms analysis for image retrieval. Pattern Recogn 34(8):1625\u20131637","journal-title":"Pattern Recogn"},{"key":"379_CR26","unstructured":"Dias R (2011) Nonparametric estimation: smoothing and visualization. http:\/\/www.ime.unicamp.br\/~dias\/SDV.pdf"},{"key":"379_CR27","doi-asserted-by":"crossref","first-page":"1499","DOI":"10.1109\/TPAMI.2003.1240123","volume":"25","author":"A Elgammal","year":"2003","unstructured":"Elgammal A, Duraiswami R, Davis LS (2003) Efficient kernel density estimation using the fast gauss transform with applications to color modeling and tracking. IEEE Trans Pattern Anal Mach Intell 25:1499\u20131504","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"1","key":"379_CR28","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/S0378-3758(96)00142-5","volume":"61","author":"K He","year":"1997","unstructured":"He K, Meeden G (1997) Selecting the number of bins in a histogram: a decision theoretic approach. J Stat Plann Inference 61(1):49\u201359","journal-title":"J Stat Plann Inference"},{"issue":"1\u20133","key":"379_CR29","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.cviu.2003.10.010","volume":"94","author":"WK Leow","year":"2004","unstructured":"Leow WK, Li R (2004) The analysis and applications of adaptive-binning color histograms. Comput Vis Image Underst 94(1\u20133):67\u201391","journal-title":"Comput Vis Image Underst"},{"issue":"6","key":"379_CR30","doi-asserted-by":"crossref","first-page":"1503","DOI":"10.1162\/neco.2007.19.6.1503","volume":"19","author":"H Shimazaki","year":"2007","unstructured":"Shimazaki H, Shinomoto S (2007) A method for selecting the bin size of a time histogram. Neural Comput 19(6):1503\u20131527","journal-title":"Neural Comput"},{"key":"379_CR31","unstructured":"\u010cencov NN (1982) Statistical decision rules and optimal inference. American Mathematical Society"},{"issue":"3,4","key":"379_CR32","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1163\/156856801753253591","volume":"14","author":"RA Young","year":"2001","unstructured":"Young RA, Lesperance RM (2001) The Gaussian Derivative model for spatial-temporal vision: II. Cortical data. Spat Vis 14(3,4):321\u2013389","journal-title":"Spat Vis"},{"key":"379_CR33","doi-asserted-by":"crossref","first-page":"768","DOI":"10.1016\/j.jmva.2010.12.002","volume":"102","author":"ND Mukhopadhyay","year":"2011","unstructured":"Mukhopadhyay ND, Chatterjee S (2011) High dimensional data analysis using multivariate generalized spatial quantiles. J Multivar Anal 102:768\u2013780","journal-title":"J Multivar Anal"},{"key":"379_CR34","doi-asserted-by":"crossref","unstructured":"Liu WF, Tao DC (2013) Multiview Hessian regularization for image annotation. IEEE Transactions on Image Processing, 22 (7): 2676-268","DOI":"10.1109\/TIP.2013.2255302"},{"issue":"1","key":"379_CR35","first-page":"50","volume":"118","author":"WF Liu","year":"2014","unstructured":"Liu WF, Tao DC (2014) Multiview Hessian discriminative sparse coding for image annotation. Comput Vis Image Underst 118(1):50\u201360","journal-title":"Comput Vis Image Underst"},{"key":"379_CR36","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-04672-2","volume-title":"Riemannian geometry and geometric analysis","author":"J Jost","year":"2002","unstructured":"Jost J (2002) Riemannian geometry and geometric analysis. Springer, Berlin"},{"key":"379_CR37","doi-asserted-by":"crossref","unstructured":"Srivastava A, Jermyn IH, Joshi S (2007) Riemannian analysis of probability density functions with applications. In: Proceedings of IEEE CVPR\u201907, pp 1\u20138","DOI":"10.1109\/CVPR.2007.383188"},{"key":"379_CR38","doi-asserted-by":"crossref","first-page":"443","DOI":"10.55782\/ane-2005-1573","volume":"65","author":"M Kami\u0144ski","year":"2005","unstructured":"Kami\u0144ski M, Zygierewicz J, Ku\u015b R, Crone N (2005) Analysis of multichannel biomedical data. Acta Neurobiol Exp (Wars) 65:443\u2013452","journal-title":"Acta Neurobiol Exp (Wars)"},{"key":"379_CR39","unstructured":"Skopenkov A (2001) Embedding and knotting of manifolds in Euclidean spaces. In: Young N, Choi Y (ed.) Surveys in contemporary mathematics. London Math. Soc. Lect. Notes 347 (2): 48\u2013342"},{"key":"379_CR40","doi-asserted-by":"crossref","unstructured":"Carter KM, Hero AO, Raich R (2007) De-biasing for intrinsic dimension estimation. In: Proceedings of IEEE Statistical Signal Processing Workshop, pp 601\u2013605","DOI":"10.1109\/SSP.2007.4301329"},{"key":"379_CR41","first-page":"777","volume":"17","author":"E Levina","year":"2005","unstructured":"Levina E, Bickel PJ (2005) Maximum likelihood estimation of intrinsic dimension. Neural Inf Process Systems 17:777\u2013784","journal-title":"Neural Inf Process Systems"},{"key":"379_CR42","unstructured":"Nguyen GH, Bouzerdoum A, Phung SL (2009) Learning pattern classification tasks with imbalanced data sets. Pattern Recognition, IN-TECH Publishing, 193\u2013208"},{"key":"379_CR43","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1109\/12.663776","volume":"47","author":"M Barbehenn","year":"1998","unstructured":"Barbehenn M, Munchen MG (1998) A note on the complexity of Dijkstra\u2019s algorithm for graphs with weighted vertices. IEEE Trans Comput 47:263","journal-title":"IEEE Trans Comput"},{"key":"379_CR44","doi-asserted-by":"crossref","first-page":"2464","DOI":"10.1016\/j.neucom.2008.11.016","volume":"72","author":"CF Juang","year":"2009","unstructured":"Juang CF, Sun WK, Chen GC (2009) Object detection by color histogram-based fuzzy classifier with support vector learning. Neurocomputing 72:2464\u20132476","journal-title":"Neurocomputing"},{"key":"379_CR45","doi-asserted-by":"crossref","unstructured":"Mika S, Ratsch G, Weston J, Scholkopf B, Muller KR (1999) Fisher discriminant analysis with kernels. IEEE International Workshop on Neural Networks for Signal Processing, pp 41\u201348","DOI":"10.1109\/NNSP.1999.788121"},{"key":"379_CR46","unstructured":"Van der Maaten LJP (2007) An introduction to dimensionality reduction using matlab. Report MICC 07-07 2, Hotelling"},{"issue":"5","key":"379_CR47","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1016\/j.imavis.2006.05.002","volume":"25","author":"L Shen","year":"2007","unstructured":"Shen L, Bai L, Fairhurst M (2007) Gabor wavelets and generalized discriminant analysis for face identification and verification. Image Vis Comput 25(5):553\u2013563","journal-title":"Image Vis Comput"},{"key":"379_CR48","unstructured":"Durrett R (1996) Probability: theory and examples, 2nd edn. International Thomson Publishing Company, New York"}],"container-title":["Pattern Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-014-0379-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10044-014-0379-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-014-0379-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,27]],"date-time":"2024-05-27T17:42:35Z","timestamp":1716831755000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10044-014-0379-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,6,13]]},"references-count":48,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,2]]}},"alternative-id":["379"],"URL":"https:\/\/doi.org\/10.1007\/s10044-014-0379-5","relation":{},"ISSN":["1433-7541","1433-755X"],"issn-type":[{"value":"1433-7541","type":"print"},{"value":"1433-755X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,6,13]]}}}