New York University

251 Mercer Street

New York, NY 10012-1185

I am currently a Visiting Member in the Courant Institute of Mathematical Sciences at New York University and a Postdoc Associate at New York University Abu Dhabi, working with Prof. David W. McLaughlin in mathematical and computational neuroscience. I obtained my B.S. in Physics (Zhiyuan College) and Ph.D. degree in Mathematics from Shanghai Jiao Tong University in China under the supervision of Profs. David Cai and Douglas Zhou.

My research interests lie in computational neuroscience, ranging from theoretical study and simulation to data analysis. I have collaborated actively with theoretical and experimental neuroscientists. Directly from experimental data, I have found a common dynamical state (Probability Polling state or p-polling state) underlying neuronal coding. This state is closely related to the Balanced state, linear model in reconstructing neuronal coupling structure (e.g., Granger Causality) and the often-observed weak correlations. I have shown that the p-polling state reveals a mechanism underlying the application of low order Maximum Entropy Principle (MEP) in neuronal networks. My study on the effective interactions of MEP model also shows how a sparse coupling structure can lead to a sparse coding scheme. I also focus on developing methods in analyzing high dimensional neuronal data. I am also interested to borrow ideas from biological neuroscience to study artificial neural network and vice versa. I was involved in the project on studying the theory and application of Granger causality in neuroscience.

You can find my CV here.

- 2016 Ph.D. in Mathematics, School of Mathematical Sciences, Shanghai Jiao Tong University, China.
- 2012 B.S. in Physics (major) and Mathematics (minor), Zhiyuan College, Shanghai Jiao Tong University, China.

- New York University Abu Dhabi, United Arab Emirates:
- Aug. 01-Sep. 01, 2013; Jan. 19-Feb. 19, 2014; Jan. 27-Feb. 27, 2015
- Courant Institute, New York University, U.S.:
- Sep. 1st-Dec. 20th, 2015; Sep. 15th-Dec. 20th, 2016; Sep. 10th-Dec. 20th, 2017; Mar. 1st-Jun. 1st, 2018.

- Z. Xu, G. Bi, D. Zhou, and D. Cai,
*"A dynamical state underlying the second order maximum entropy principle in neuronal networks"*, Communications in Mathematical Sciences, 15 (2017), pp. 665–692. [.pdf] - D. Zhou, Y. Xiao, Y. Zhang, Z. Xu, and D. Cai,
*"Granger causality network reconstruction of conductance-based integrate-and-fire neuronal systems"*, PloS one, 9 (2014) [.pdf] - D. Zhou, Y. Xiao, Y. Zhang, Z. Xu, and D. Cai,
*"Causal and structural connectivity of pulse-coupled nonlinear networks"*, Physical review letters, 111 (2013) [.pdf] - (∗ indicates the corresponding author)

- Fall 2014 and Spring 2015 Recitation Instructor: Mathematical Analysis.
- Spring 2014 Teaching Assistant: Probability.
- Fall 2013 Teaching Assistant: Analysis.
- Spring 2013 Teaching Assistant: Asymptotic Analysis.
- Fall 2012 Teaching Assistant: Mathematical Physics.

- May 9, 2018
*Data Science Seminar at NYU Shanghai.* - May 7, 2018
*Math-Neuroscience Seminar at NYU Shanghai.* - Apr 17, 2018
*Seminar at Rensselaer Polytechnic Institute.* - Nov 28, 2017
*Seminar at Rensselaer Polytechnic Institute.* - Nov 11-15, 2017
*Society for Neuroscience, Washington, DC.* - Jun 26, 2017
*Seminar at Wuhan University.* - Jun 27, 2017
*Seminar at Wuhan University.* - Jun 16, 2017
*Workshop on Data Analysis and Nonlinear Dynamic System at Shanghai Lixin University of Accounting and Finance.* - Jun 7, 2017
*Workshop on Data Assimilation and Information Theory at Fudan University.* - May 25, 2017
*SIAM Conference on Applications of Dynamical Systems.* - Feb 10, 2017
*Colloquium at the University of North Carolina at Chapel Hill.* - Nov 15, 2016
*Seminar at Rensselaer Polytechnic Institute.* - Nov 8, 2016
*Colloquium at Courant Institute, New York University.* - Aug 8-11, 2016
*SIAM Conference on Nonlinear Waves and Coherent Structures.* - Nov 5, 2015
*Seminar at Rensselaer Polytechnic Institute.*