P. Grohs

activity

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

collaborators

Showing 2014 · math.FAShow all

3 papers · 2 filters

math.FA2014

$α$ -Molecules

Philipp Grohs, Sandra Keiper, Gitta Kutyniok +1

Within the area of applied harmonic analysis, various multiscale systems such as wavelets, ridgelets, curvelets, and shearlets have been introduced and successfully applied. The ke…

math.FA2014★ 1 cited

Cartoon Approximation with $α$ -Curvelets

Philipp Grohs, Sandra Keiper, Gitta Kutyniok +1

It is well-known that curvelets provide optimal approximations for so-called cartoon images which are defined as piecewise $C^{2}$ -functions, separated by a $C^{2}$ singularity curve.…

math.FA2014

Intrinsic Localization of Anisotropic Frames II: $α$ -Molecules

Philipp Grohs, Stefano Vigogna

This article is a continuation of the recent paper [Grohs, Intrinsic localization of anisotropic frames, ACHA, 2013], where off-diagonal-decay properties (often referred to as 'loc…

α-Molecules

Cartoon Approximation with α-Curvelets

Intrinsic Localization of Anisotropic Frames II: α-Molecules

$α$ -Molecules

Cartoon Approximation with $α$ -Curvelets

Intrinsic Localization of Anisotropic Frames II: $α$ -Molecules