Yaoyu Zhang（张耀宇）

Associate Professor

Phone:

(86-21) 54742607

Office:

324

Email:

zhyy.sjtu@sjtu.edu.cn

Brief Introduction

In 2016, Yaoyu ZHANG graduated from Shanghai Jiao Tong University and received his doctorate in applied mathematics. From 2016 to 2019, he carried out research as a postdoc at New York University Abu Dhabi and Courant Institute of Mathematical Sciences, New York University. From September 2019 to July 2020, he was a member at Institute for Advanced Study, Princeton, New Jersey. In 2020, he joined the faculty of Institute of Natural Sciences / School of Mathematical Sciences, Shanghai Jiao Tong University.

Research Interests

Theory and Application of Deep Learning

1. Implicit regularization of DNN training dynamics.

2. DNN-based machine learning approach for combustion simulation and analysis.

Computational Neuroscience

1. Principle of brain-like learning systems.

2. DNN-assisted analysis of large-scale neuronal circuit models.

Selected Publications

Deep Learning

• Phase diagram for two-layer ReLU neural networks at infinite-width limit. Tao Luo, Zhi-Qin John Xu, Zheng Ma, Yaoyu Zhang*, arXiv:2007.07497, (2020)

• Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs, (Alphabetic order) Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang, arXiv:2002.07989, (2020)

• Theory of the Frequency Principle for General Deep Neural Networks, (Alphabetic order) Tao Luo, Zheng Ma, Zhi-Qin John Xu, Yaoyu Zhang, arXiv: 1906.09235, (2019)

• Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks, Yaoyu Zhang, Zhi-Qin John Xu, Tao Luo, Zheng Ma, arXiv: 1905.10264, (2019)

• A type of generalization error induced by initialization in deep neural networks, Yaoyu Zhang, Zhi-Qin John Xu, Tao Luo, Zheng Ma, arXiv:1905.07777, (2019) MSML2020

• Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks, Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, Yanyang Xiao, Zheng Ma, arXiv:1901.06523, (2019)

• Training Behavior of Deep Neural Network in Frequency Domain, Zhiqin Xu, Yaoyu Zhang, Yanyang Xiao, arXiv:1807.01251, (2018), ICONIP2019

Computational Neuroscience

• DNN-Assisted Statistical Analysis of a Model of Local Cortical Circuits, Yaoyu Zhang, Lai-Sang Young, BioRxiv preprint:10.1101/2020.05.14.095703, (2020)

• Spike-Triggered Regression for Synaptic Connectivity Reconstruction in Neuronal Networks, Yaoyu Zhang, Yanyang Xiao, Douglas Zhou, David Cai, Frontiers in Computational Neuroscience 11, 101, (2017)

• Granger Causality Analysis with Nonuniform Sampling and Its Application to Pulse-coupled Nonlinear Dynamics, Yaoyu Zhang, Yanyang Xiao, Douglas Zhou, David Cai, Physical Review E 93, 042217, (2016)

• Analysis of Sampling Artifacts on the Granger Causality Analysis for Topology Extraction of Neuronal Dynamics, Douglas Zhou, Yaoyu Zhang, Yanyang Xiao, David Cai, Frontiers in Computational Neuroscience 8, 75, (2014)

• Reliability of the Granger Causality Inference, Douglas Zhou, Yaoyu Zhang, Yanyang Xiao, David Cai, New Journal of Physics 16 (4), 043016 (2014)

• Granger Causality Network Reconstruction of Conductance-Based Integrate-and-Fire Neuronal Systems, Douglas Zhou, Yanyang Xiao, Yaoyu Zhang, Zhiqin Xu, David Cai, PloS One 9, e87636 (2014)

• Causal and Structural Connectivity of Pulse-coupled Nonlinear Networks, Douglas Zhou, Yanyang Xiao, Yaoyu Zhang, Zhiqin Xu, David Cai, Physical Review Letters 111, 054102 (2013)