[1]the School of Mathematics;
Northwest University;
Xi’an 710127;
School of Mathematics and Information Sciences;
Nanchang Hangkong University;
Nanchang 330063;
China;
and the Department of Computing Science;
University of Alberta;
Edmonton;
AB T6G 2E8;
Canada;
[2]the School of Mathematics;
Northwest University;
Xi’an 710127;
and the Faculty of Information Technology&State Key Laboratory of Quality Research in Chinese Medicines;
Macau University of Science and Technology;
Macau;
China;
[3]the College of Computer Engineering;
Jimei University;
Xiamen 361021;
China;
[4]the Department of Computing Science;
University of Alberta;
Edmonton;
AB T6G 2E8;
Canada;
[4]the Department of Computing Science;
University of Alberta;
Edmonton;
AB T6G 2E8;
Canada;
Data clustering; dimensionality reduction; graph regularization; Lp smooth non-negative matrix factorization(SNMF);