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math.NA2026
Thermodynamically Constrained Information Geometric Regularization for Compressible Flows
Seth Taylor, Raymond J. Spiteri, Stéphane Gaudreault
We construct and analyze a thermodynamic extension of the recently proposed information geometric regularization of Cao and Schäfer. The construction extends their shock-mitigatin…
math.NA2025
Diffeomorphic Neural Operator Learning
Seth Taylor, Alex Bihlo, Jean-Christophe Nave
We present an operator learning approach for a class of evolution operators using a composition of a learned lift into the space of diffeomorphisms of the domain and the group acti…