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math.DG2026
PINNs in More General Geometry
Edward Hirst
Neural architectures trained with losses inspired by differential conditions are the basis for PINN models. Since many constructions in differential geometry may be framed as minim…
math.DG2026
Minimising Willmore Energy via Neural Flow
Edward Hirst, Henrique N. Sá Earp, Tomás S. R. Silva
The neural Willmore flow of a closed oriented -surface in is introduced as a natural evolution process to minimise the Willmore energy, which is the squared …