# Seminar on Theoretical Machine Learning

**Topic: **Some Statistical Results on Deep Learning: Interpolation, Optimality and Sparsity

**Speaker: **Guang Cheng

**Affiliation: **Purdue University; Member, School of Mathematics

**Date & Time: **Wednesday November 13th, 2019, 12:00pm - 1:30pm

**Location: **Dilworth Room

**Video:** https://video.ias.edu/machinelearning/2019/1113-GuangCheng

This talk discusses three aspects of deep learning from a statistical perspective: interpolation, optimality and sparsity. The first one attempts to interpret the double descent phenomenon by precisely characterizing a U-shaped curve within the “over-fitting regime,” while the second one focuses on the statistical optimality of neural network classification in a student-teacher framework. This talk is concluded by proposing sparsity induced training of neural network with statistical guarantee.