[1] DUDA R O, HART P E, STORK D G. Pattern classification [M]. 2nd ed. New York: John Wiley & Sons, 2000.[2] HAUTANIEMI S, YLI-HARJA O, ASTOLA J, et al. Analysis and visualization of gene expression microarray data in human cancer using self-organizing maps [J]. Machine Learning, 2003, 52(1/2): 45-66.[3] ZHANG C, WANG J, ZHAO N, et al. Reconstruction and analysis of multi-pose face images based on nonlinear dimensionality reduction [J]. Pattern Recognition, 2004, 37(2): 325-336.[4] DAWSON K, RODRIGUEZ R L, MALYJ W. Sample phenotype clusters in high-density oligonucleotide microarray data sets are revealed using ISOMAP, a nonlinear algorithm [J]. BMC Bioinformatics, 2005, 6(1): 195-202.[5] TENENBAUM J B, de SILVA V, LANGFORD J C. A global geo-metric framework for nonlinear dimensionality reduction [J]. Sci-〖HJ1.55mm〗ence, 2000, 290(22): 2319-2323.[6] DONOHO D L, GRIMES C. When does ISOMAP recover the natural parameterization of families of articulated images? [R]. Stanford: Stanford University, Department of Statistics, 2002.[7] LI Y. Distance-preserving projection of high-dimensional data for nonlinear dimensionality reduction [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2004, 26(9): 1243-1246.[8] VLACHOS M, DOMENICONI C, GUNOPULOS D, et al. Non-linear dimensionality reduction techniques for classification and visualization [C]// Proceedings of the 8th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. New York: ACM, 2002: 645-651.[9] HADID A, PIETIKINEN M. Efficient locally linear embeddings of imperfect manifolds [C]// Proceedings of the 3rd International Conference on Machine Learning and Data Mining. Berlin: Springer, 2003: 188-201.[10] WU Y, CHAN K L. An extended ISOMAP algorithm for learning multi-class manifold [C]// Proceedings of 2004 International Conference on Machine Learning and Cybernetics. Piscataway: IEEE, 2004: 3429-3433.[11] 马瑞,王家廞,宋亦旭.基于局部线性嵌入(LLE)非线性降维的多流形学习[J].清华大学学报:自然科学版,2008,48(4):583-586.[12] 程起才,王洪元,刘爱萍,等.基于ISOMAP的一种多流形学习算法[J].微电子学与计算机,2009,26(10):115-117.[13] SAXENA A, GUPTA A, MUKERJEE A. Non-linear dimensionality reduction by locally linear ISOMAPs [C]// Proceedings of the 11th International Conference on Neural Information Processing. Berlin: Springer, 2004: 1038-1043.[14] LEE J A, LENDASSE A, VERLEYSEN M. Nonlinear projection with curvilinear distances: ISOMAP versus curvilinear distance analysis [J]. Neurocomputing, 2004, 57(1): 49-76.[15] KOUROPTEVA O, OKUN O, HADID A, et al. Beyond locally linear embedding algorithm [R]. Oulu: University of Oulu, 2002.[16] TROSSET M W. Extensions of classical multidimensional scaling: computational theory [J]. Computational Statistics, 2002, 17(1): 147-162.[17] BALASUBRAMANIAN M, SHWARTZ E, TENENBAUM J B, et al. The ISOMAP algorithm and topological stability [J]. Science, 2002, 295(5552): 7a-7. |