About the Authors

Shuilin Jin

Contributed equally to this work with: Shuilin Jin, Renjie Tan

Affiliation Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, China

Renjie Tan

Contributed equally to this work with: Shuilin Jin, Renjie Tan

Affiliation School of Computer Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China

Qinghua Jiang

Affiliation School of Life Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China

Li Xu

Affiliation College of Computer Science and Technology, Harbin Engineering University, Harbin, Heilongjiang, China

Jiajie Peng

Affiliation School of Computer Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China

Yong Wang

ydwang@hit.edu.cn (Yadong Wang) (YW); mathwy@hit.edu.cn (Yong Wang) (YW)

Affiliation Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, China

Yadong Wang

ydwang@hit.edu.cn (Yadong Wang) (YW); mathwy@hit.edu.cn (Yong Wang) (YW)

Affiliation School of Computer Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: SJ Yadong Wang Yong Wang. Performed the experiments: SJ RT. Analyzed the data: QJ LX. Contributed reagents/materials/analysis tools: JP Yadong Wang. Wrote the paper: SJ Yong Wang Yadong Wang.