Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. (English) Zbl 1077.65042

Zhang, Zhenyue; Zha, Hongyuan

SIAM J. Sci. Comput. 26, No. 1, 313-338 (2004).

MSC:

65F30	Other matrix algorithms (MSC2010)
65F15	Numerical computation of eigenvalues and eigenvectors of matrices
65F50	Computational methods for sparse matrices

Keywords:

nonlinear dimensionality reduction; principal manifold; tangent space; subspace alignment; singular value decomposition; error analysis; algorithm

Software:

R