Explore the intersection of partial differential equations and machine learning in this conference talk that demonstrates how numerical methods and control theory can be integrated with modern AI approaches. Learn about cutting-edge research connecting traditional mathematical frameworks with contemporary machine learning techniques, examining how PDEs can inform and enhance ML algorithms while discovering new computational strategies for solving complex mathematical problems. Gain insights into the theoretical foundations and practical applications of this interdisciplinary approach, understanding how control theory principles can be leveraged to improve machine learning models and how numerical analysis contributes to more robust AI systems.