Mathematics Colloquium: Hongkai Zhao (Duke University)- Numerical understanding of neural networks:
This event is in the past.
When:
April 15, 2024
2:45 p.m. to 3:45 p.m.
2:45 p.m. to 3:45 p.m.
Where:
Event category:
Seminar
In-person
Date/Time: Monday April 15, 2:45pm
Room: FAB 1146
Speaker: Hongkai Zhao (Duke University)
Title: Numerical understanding of neural networks: from representation to learning dynamics
Abstract:
In this talk I will present both numerical analysis and experiments to understand a few basic computational issues in using neural network to approximate functions: (1) the numerical error that can be achieved given a finite machine precision, (2) the learning dynamics and computation cost to achieve certain accuracy, and (3) structured and balanced approximation. These issues are studied for both approximation and optimization in asymptotic and non-asymptotic regimes.