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researcher

Lukas Gonon

45 papers hereh-index 171.4k citations57 works total

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

author position
  • sole author2
  • first author19
  • middle author14
  • last author10

Across the 45 of 45 papers where every author was matched, so the position is known.

fields
  • cs.LG9
  • math.NA8
  • math.PR7
  • q-fin.MF5
  • quant-ph4
  • q-fin.CP3

identity via Semantic Scholar / OpenAlex

activity
20172026
most citedUniform error estimates for artificial neural network approximations for heat equations

31 citations · 152 across the 38 of their papers we have counts for

collaborators
Showing 2023 · math.NAShow all

1 paper · 2 filters

math.NA2023

The necessity of depth for artificial neural networks to approximate certain classes of smooth and bounded functions without the curse of dimensionality

Lukas Gonon, Robin Graeber, Arnulf Jentzen

In this article we study high-dimensional approximation capacities of shallow and deep artificial neural networks (ANNs) with the rectified linear unit (ReLU) activation. In partic…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.