About the Authors

Songting Li

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

Nan Liu

Affiliation State Key Laboratory of Cognitive Neuroscience and Learning and IDG/McGovern Institute for Brain Research, Beijing Normal University, Beijing, China

Xiao-hui Zhang

Affiliation State Key Laboratory of Cognitive Neuroscience and Learning and IDG/McGovern Institute for Brain Research, Beijing Normal University, Beijing, China

Douglas Zhou

zdz@sjtu.edu.cn (DZ); cai@cims.nyu.edu (DC)

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

David Cai

zdz@sjtu.edu.cn (DZ); cai@cims.nyu.edu (DC)

Affiliations Department of Mathematics, MOE-LSC and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China, Courant Institute of Mathematical Sciences and Center for Neural Science, New York University, New York, New York, United States of America, NYUAD Institute, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: SL XhZ DZ DC. Performed the experiments: NL XhZ. Analyzed the data: SL NL XhZ DZ DC. Contributed reagents/materials/analysis tools: SL DZ DC. Wrote the paper: SL NL XhZ DZ DC.