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P. Grohs

62 papers hereh-index 353.9k citations137 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • first author28
  • middle author18
  • last author12

Across the 60 of 62 papers where every author was matched, so the position is known.

fields
  • math.FA26
  • cs.LG15
  • math.NA12
  • math.DG2
  • physics.comp-ph2
  • cs.IT1

identity via Semantic Scholar / OpenAlex

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 2014Show all

4 papers · 1 filter

math.NA2014★ 5 cited

Optimal Adaptive Ridgelet Schemes for Linear Transport Equations

Philipp Grohs, Axel Obermeier

In this paper we present a novel method for the numerical solution of linear transport equations, which is based on ridgelets. Such equations arise for instance in radiative transf…

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 C2-functions, separated by a C2 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…

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