流形学习工具包（包括8种经典流形学习算法的matlab程序）

toolbox_dimreduc - a toolbox for dimension reduction methods This toolbox is an educational and recreative toolbox around recent ideas in the field of dimension reduction. This toolbox contains a set of helpers and test scripts to play with the following algorithms : * PCA : classical Principal Componnent Analysis (linear projection). * Isomap <http://isomap.stanford.edu/> A Global Geometric Framework for Nonlinear Dimensionality Reduction J. B. Tenenbaum, V. de Silva and J. C. Langford Science 290, 2319 * LLE <http://www.cs.toronto.edu/~roweis/lle/> Nonlinear dimensionality reduction by locally linear embedding. Sam Roweis & Lawrence Saul. Science, v.290 no.5500 , Dec.22, 2000. pp.2323--2326. * HLLE <http://basis.stanford.edu/WWW/HLLE/frontdoc.htm> Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data David L. Donoho and Carrie Grimes Proc Natl Acad Sci U S A. 2003 May 13; 100(10): 5591�5596. * Laplacian Eigenmaps <http://people.cs.uchicago.edu/~misha/ManifoldLearning/index.html> Laplacian Eigenmaps for dimensionality reduction and data representation Mikhail Belkin and Partha Niyogi, Neural Computation 15(16), 2003, 1373-1396 * Local Tangent Space Alignment Principal manifolds and nonlinear dimension reduction via local tangent space alignment. Zhenyue Zhang and Hongyuan Zha. SIAM Journal of Scientific Computing, 26(1):313�338, 2004. * Local PCA Dimension Reduction by Local Principal Component Analysis Nandakishore Kambhatla and Todd K. Leen Neural Computation, Volume 9 , Issue 7,1997 This toolbox contains the sources provided by the authors of these articles, slightly modified to get a cleaner interface. These codes are under the copyright of the corresponding authors. This toolbox contains tests files to see the application of these algorithm in three settings : * Simple 3D clouds. * 3D mesh with given connectivity. * Images data sets. The images data sets are borrowed from : * Roweis datas <http://www.cs.toronto.edu/~roweis/data.html> * MNIST handwritten digits database <http://yann.lecun.com/exdb/mnist/> They are *NOT* included in the distribution of the toolbox available on Matlab central. The file data.zip should be retrieved from here <http://www.cmap.polytechnique.fr/~peyre/cours/data.zip> and unzipped in the same directory as the toolbox. Installation: you have to put the directory toolbox/ into you matlab path. Copyright (c) 2006 Gabriel Peyr�