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cs.LG2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations
Valentin Duruisseaux, Amit Chakraborty
In numerous contexts, high-resolution solutions to partial differential equations are required to capture faithfully essential dynamics which occur at small spatiotemporal scales,…
stat.ML2023
Simplifying Momentum-based Positive-definite Submanifold Optimization with Applications to Deep Learning
Wu Lin, Valentin Duruisseaux, Melvin Leok +3
Riemannian submanifold optimization with momentum is computationally challenging because, to ensure that the iterates remain on the submanifold, we often need to solve difficult di…