Title
Convergence and Rate of Convergence of a Manifold-Based Dimension Reduction Algorithm
Abstract
We study the convergence and the rate of convergence of a particular manifold- based learning algorithm: LTSA (12). The main technical tool is the perturbation analysis on the linear invariant subspace that corresponds to the solution of LTSA. We derive the upper bound for errors under the worst case for LTSA; it naturally leads to a convergence result. We then derive the rate of convergence for LTSA in a special case.
Year
Venue
Keywords
2008
NIPS
rate of convergence,dimension reduction,upper bound,perturbation analysis
Field
DocType
Citations 
Convergence (routing),Mathematical optimization,Normal convergence,Mathematical analysis,Compact convergence,Algorithm,Convergence tests,Invariant subspace,Rate of convergence,Nonlinear dimensionality reduction,Mathematics,Modes of convergence
Conference
3
PageRank 
References 
Authors
0.41
6
3
Name
Order
Citations
PageRank
Andrew Smith19613.91
Xiaoming Huo215724.83
Hongyuan Zha36703422.09