Explores Stochastic Gradient Descent and Mean Field Analysis in two-layer neural networks, emphasizing their iterative processes and mathematical foundations.
Explores loop corrections and counter terms in quantum field theory, showcasing how divergences are handled and predictions are extracted from loop calculations.
Explores advanced Quantum Field Theory topics, including perturbativity, renormalization, and asymptotic freedom, with a focus on Amplitudes and Correlators.
Covers compactified imaginary Liouville theory and the scaling limits of loop models, addressing mathematical challenges and future research directions.