About the Authors

Tao Du

Affiliation Department of Mathematics, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai, China

Dan Hu

hudan80@sjtu.edu.cn

Affiliation Department of Mathematics, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai, China

David Cai

Affiliations Department of Mathematics, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai, China, Courant Institute of Mathematical Sciences and Center for Neural Science, New York University, New York, U.S.A., NYUAD Institute, New York University Abu Dhabi, Abu Dhabi, UAE

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: TD DH DC. Performed the experiments: TD DH DC. Analyzed the data: TD DH DC. Contributed reagents/materials/analysis tools: TD DH DC. Wrote the paper: TD DH DC. Numerical simulation: TD DH.