Non-linear independent component analysis with diffusion maps
作者： Amit Singer , Ronald R. Coifman
DOI: 10.1016/J.ACHA.2007.11.001
关键词:
摘要: … where the O(ε z 4) term also include curvatures terms, because we replaced the domain of integration with the tangent space. The expansion of h and the exponent near ξ is given by …
core.ac.uk
elsevier.com
princeton.edu 
sci-hub.se 参考文章(18)
Erkki Oja, Aapo Hyvarinen, Juha Karhunen, Independent Component Analysis ,(2001)
Mikhail Belkin, Partha Niyogi, Towards a theoretical foundation for Laplacian-based manifold methods Journal of Computer and System Sciences. ,vol. 74, pp. 1289- 1308 ,(2008) , 10.1016/J.JCSS.2007.08.006
CHRISTIAN JUTTEN, JUHA KARHUNEN, ADVANCES IN BLIND SOURCE SEPARATION (BSS) AND INDEPENDENT COMPONENT ANALYSIS (ICA) FOR NONLINEAR MIXTURES International Journal of Neural Systems. ,vol. 14, pp. 267- 292 ,(2004) , 10.1142/S012906570400208X
Aapo Hyvärinen, Petteri Pajunen, Nonlinear independent component analysis: existence and uniqueness results Neural Networks. ,vol. 12, pp. 429- 439 ,(1999) , 10.1016/S0893-6080(98)00140-3
John Hogden, Philip Rubin, Erik McDermott, Shigeru Katagiri, Louis Goldstein, Inverting mappings from smooth paths through Rn to paths through Rm: A technique applied to recovering articulation from acoustics Speech Communication. ,vol. 49, pp. 361- 383 ,(2007) , 10.1016/J.SPECOM.2007.02.008
A. Singer, R. Erban, I. G. Kevrekidis, R. R. Coifman, Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 106, pp. 16090- 16095 ,(2009) , 10.1073/PNAS.0905547106
Sam T Roweis, Lawrence K Saul, Nonlinear Dimensionality Reduction by Locally Linear Embedding Science. ,vol. 290, pp. 2323- 2326 ,(2000) , 10.1126/SCIENCE.290.5500.2323
Luis B. Almeida, Nonlinear Source Separation ,(2006)
Mikhail Belkin, Partha Niyogi, Laplacian Eigenmaps for dimensionality reduction and data representation Neural Computation. ,vol. 15, pp. 1373- 1396 ,(2003) , 10.1162/089976603321780317
R.R. Coifman, Y. Shkolnisky, F.J. Sigworth, A. Singer, Graph Laplacian Tomography From Unknown Random Projections IEEE Transactions on Image Processing. ,vol. 17, pp. 1891- 1899 ,(2008) , 10.1109/TIP.2008.2002305