Siting Liu, UC Los Angeles: This presentation explores optimization strategies for improving both partial differential equation (PDE) computations and score-based generative models (SGM). In the realm of numerical computations, we introduce a saddle point framework that capitalizes on the inherent structure of PDEs. Integrated…
Morgan Weiler, Cornell University: Symplectic geometry is the study of 2-forms on even-dimensional manifolds. Its roots are in Hamiltonian mechanics, but the fact that symplectic forms are all locally standard often suggests a global perspective. In low dimensions, symplectic tools are particularly powerful, reproducing gauge…