Research at the Interface of Applied Mathematics and Machine Learning

Research at the Interface of Applied Mathematics and Machine Learning

Lars Ruthotto, Emory University, lecturer

December 8-12, 2025 at University of Houston

Yunhui He, yhe43@uh.edu, organizer

website: http://www.math.uh.edu/cbms-amml

Lecture Notes

Lecture Slides & Videos:

Lecture 1: Machine Learning Overview slides

 

Lecture 2: Neural Network Architectures and Loss Functions slides

 

Lecture 3: Optimization for Machine Learning slides

 

Lecture 4: Modern Theory of Stochastic Gradient Descent slides

 

Lecture 5: Efficient Optimization Methods slides

 

Lecture 6: PDE Framework for Generative Modeling slides

 

Lecture 7: Scientific Machine Learning for PDEs slides

 

Lecture 8: High-Dimensional PDEs slides

 

Lecture 9: Machine Learning for Inverse Problems slides

 

Lecture 10: Mathematical Discovery and Verification slides