A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
Kutyniok, Gitta, Petersen, Philipp, Raslan, Mones, Schneider, Reinhold
Published in Constructive approximation (01.02.2022)
Published in Constructive approximation (01.02.2022)
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Journal Article
Topological Properties of the Set of Functions Generated by Neural Networks of Fixed Size
Petersen, Philipp, Raslan, Mones, Voigtlaender, Felix
Published in Foundations of computational mathematics (01.04.2021)
Published in Foundations of computational mathematics (01.04.2021)
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Journal Article
Anisotropic multiscale systems on bounded domains
Grohs, Philipp, Kutyniok, Gitta, Ma, Jackie, Petersen, Philipp, Raslan, Mones
Published in Advances in computational mathematics (01.04.2020)
Published in Advances in computational mathematics (01.04.2020)
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Journal Article
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks
Geist, Moritz, Petersen, Philipp, Raslan, Mones, Schneider, Reinhold, Kutyniok, Gitta
Published in Journal of scientific computing (01.07.2021)
Published in Journal of scientific computing (01.07.2021)
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Journal Article
Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces
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Journal Article
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks
Geist, Moritz, Petersen, Philipp, Raslan, Mones, Schneider, Reinhold, Kutyniok, Gitta
Year of Publication 25.04.2020
Year of Publication 25.04.2020
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Journal Article
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
Kutyniok, Gitta, Petersen, Philipp, Raslan, Mones, Schneider, Reinhold
Year of Publication 31.03.2019
Year of Publication 31.03.2019
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Journal Article
Deep Learning based Forecasting: a case study from the online fashion industry
Kunz, Manuel, Birr, Stefan, Raslan, Mones, Ma, Lei, Li, Zhen, Gouttes, Adele, Koren, Mateusz, Naghibi, Tofigh, Stephan, Johannes, Bulycheva, Mariia, Grzeschik, Matthias, Kekić, Armin, Narodovitch, Michael, Rasul, Kashif, Sieber, Julian, Januschowski, Tim
Year of Publication 23.05.2023
Year of Publication 23.05.2023
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Journal Article
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
Kutyniok, Gitta, Petersen, Philipp, Raslan, Mones, Schneider, Reinhold
Published in arXiv.org (14.05.2020)
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Published in arXiv.org (14.05.2020)
Paper
Anisotropic Multiscale Systems on Bounded Domains
Grohs, Philipp, Kutyniok, Gitta, Ma, Jackie, Petersen, Philipp, Raslan, Mones
Year of Publication 15.10.2015
Year of Publication 15.10.2015
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Journal Article