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.
A complete system of inequalities for the diameter, in-, and circumradius in the 3-dimensional Euclidean space
2 Pith papers cite this work. Polarity classification is still indexing.
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Sharper bounds on Perelman-Pukhov quotients of successive radii, with asymptotic optimality for i = n - m.
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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.
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On the Perelman-Pukhov quotient of successive radii: better and asymptotically optimal bounds
Sharper bounds on Perelman-Pukhov quotients of successive radii, with asymptotic optimality for i = n - m.