Towards a Statistical Foundation for Machine Learning Methods

Explore the mathematical foundations underlying modern machine learning algorithms in this comprehensive conference talk that bridges statistical theory with practical ML applications. Delve into rigorous statistical frameworks that provide theoretical justification for popular machine learning methods, examining how classical statistical principles can be extended to understand deep learning, neural networks, and other contemporary ML techniques. Learn about convergence rates, generalization bounds, and the statistical properties that govern machine learning model performance. Discover how statistical theory can guide the development of more robust and interpretable machine learning algorithms, while gaining insights into the theoretical guarantees and limitations of current ML methods. Examine the intersection of high-dimensional statistics, approximation theory, and machine learning to build a deeper understanding of why certain ML approaches work effectively in practice.