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20092023
most citedA proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations

153 citations · 899 across the 45 of their papers we have counts for

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math.DG2010★ 10 cited

Ruled Laguerre minimal surfaces

Mikhail Skopenkov, Helmut Pottmann, Philipp Grohs

A Laguerre minimal surface is an immersed surface in the Euclidean space being an extremal of the functional \int (H^2/K - 1) dA. In the present paper, we prove that the only ruled…

math.DG2010

Definability and stability of multiscale decompositions for manifold-valued data

Philipp Grohs, Johannes Wallner

We discuss multiscale representations of discrete manifold-valued data. As it turns out that we cannot expect general manifold-analogues of biorthogonal wavelets to possess perfect…