Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality

Grohs P, Ibragimov S, Jentzen A, Koppensteiner S

Research article (journal) | Peer reviewed

Details about the publication

JournalJournal of Complexity
Volume0
Article number101746
Statusaccepted / in press (not yet published)
Release year2023
Language in which the publication is writtenEnglish
DOI10.1016/j.jco.2023.101746
Link to the full texthttps://www.sciencedirect.com/science/article/abs/pii/S0885064X23000158?via=ihub
Keywordsartificial neural networks; artificial neural network approximations; curse of dimensionality; overcoming the curse of dimensionality; lower bounds

Authors from the University of Münster

Ibragimov, Shokhrukh
Professorship for applied mathematics (Prof. Jentzen)
Jentzen, Arnulf
Institute for Analysis and Numerics