厦门大学学报（自然科学版）2012，Vol.51Issue(2)：149-152,4.
Lanczos双对角化:一种快速的非负矩阵初始化方法
Lanczos Bidiagonalization:a Fast Start for Nonnegative Matrix Factorization
摘要
Abstract
For a lage nonnegative matrix .a Lanczos bidiagonalization process is utilized to obtain a nonnegative bidiagonal matrix of low rank, and then every unit rank matrix produced from the Lanczos process is approximated by its nonnegative section in the same way as developed in Boutsidis and Gallopoulos's paper. This results in a novel initialization algorithm for nonnegative matrix factoriza-tion( NMF) can readily be combined with existing NMF algorithms and may contained a little randomization. Some numerical experiments demonstrate that the new initialization algorithm is more efficient than the SVD based initialization algorithm presented in Boutsidis and Gallopoulos's paper.关键词
Lanczos双对角化/非负矩阵分解/奇异值分解/低秩近似Key words
Lanczos bidiagonalization/nonnegative matrix factorization/singular value decomposition/low-rank approximation分类
数理科学引用本文复制引用
王炫盛,陈震,卢琳璋..Lanczos双对角化:一种快速的非负矩阵初始化方法[J].厦门大学学报（自然科学版）,2012,51(2):149-152,4.基金项目
国家自然科学基金项目(10961010) （10961010）
贵州省科学技术基金项目(黔科合J字LKS[2009]03号) （黔科合J字LKS[2009]03号）
