Events
DMS Colloquium: Dr. Zuofeng Shang |
| Time: Sep 20, 2019 (04:00 PM) |
| Location: Parker Hall 250 |
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Details: Speaker: Dr. Zuofeng Shang, New Jersey Institute of Technology
Title: Statistical Optimality of Deep Neural Networks in Regression and Classification Abstract: In this talk, I will discuss statistical optimality of deep neural network methods in regression and classification. In the first part, I will consider linear regression model with instrumental variables that characterize endogenous errors. Deep neural network provides a flexible way to characterize the relationship between the design variable and instrumental variable. Asymptotic distribution and semiparametric efficiency are established for the proposed estimator. In the second part, I will consider nonparametric classification in which classifiers are characterized by deep neural networks. Tight upper and lower bounds for the classification risk are established. The proposed methods enjoy the so-called intrinsic dimension phenomenon.
Bio sketch: Dr. Zuofeng Shang is an associate professor in the Department of Mathematics and Statistics at New Jersey Institute of Technology. His research aim focuses on statistical foundation of modern data science fields, primarily in developing statistical frameworks for data science objects, efficient learning algorithms for scientific tasks and theoretical understanding on the nature of the problems. He has published more than 18 top journal papers. He is also the principle investigator of two NSF grants.
Faculty host: Guanqun Cao |
