1. Department of Mathematics, Zhejiang University, Yuquan Campus, Hangzhou 310027, China 2. Department of Computer Science and Engineering, The Pennsylvania State University, University Park,PA 16802, U.S.A.
Abstract:
We present our recent work on both linear and nonlinear data reduction methods and algorithms: for the linear case we discuss results on structure analysis of SVD of column-partitioned matrices and sparse low-rank approximation; for the nonlinear case we investigate methods for nonlinear dimensionality reduction and manifold learning. The problems we address have attracted great deal of interest in data mining and machine learning.