A gauge-function neural network parametrization of convex bodies combined with Riesz-energy particle optimization enables numerical exploration of Blaschke-Santaló diagrams for volume, perimeter, torsional rigidity, Willmore energy, and Neumann eigenvalues.
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Numerical exploration of the range of shape functionals using neural networks
A gauge-function neural network parametrization of convex bodies combined with Riesz-energy particle optimization enables numerical exploration of Blaschke-Santaló diagrams for volume, perimeter, torsional rigidity, Willmore energy, and Neumann eigenvalues.