title: Block Principal Component Analysis With Nongreedy $\ell _{1}$ -Norm Maximization.
abstract: Block principal component analysis with l1-norm (BPCA-L1) has demonstrated its effectiveness in a lot of visual classification and data mining tasks. However, the greedy strategy for solving the l1-norm maximization problem is prone to being struck in local solutions. In this paper, we propose a BPCA with nongreedy l1-norm maximization, which obtains better solutions than BPCA-L1 with all the projection directions optimized simultaneously. Other than BPCA-L1, the new algorithm has been evaluated against some popular principal component analysis (PCA) algorithms including PCA-L1 and 2-D PCA-L1 on a variety of benchmark data sets. The results demonstrate the effectiveness of the proposed method.
authors.forename: Bing Nan
authors.initials: BN
authors.lastname: Li
authors.forename: Qiang
authors.initials: Q
authors.lastname: Yu
authors.forename: Rong
authors.initials: R
authors.lastname: Wang
authors.forename: Kui
authors.initials: K
authors.lastname: Xiang
authors.forename: Meng
authors.initials: M
authors.lastname: Wang
authors.forename: Xuelong
authors.initials: X
authors.lastname: Li