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Anzahl der Publikationen: 8
Zeitschriftenartikel
Andrade-Loarca, Hector; Kutyniok, Gitta 
ORCID: https://orcid.org/0000-0001-9738-2487; Oektem, Ozan und Petersen, Philipp
(2022):
Deep microlocal reconstruction for limited-angle tomography.
In: Applied and Computational Harmonic Analysis, Bd. 59: S. 155-197
ORCID: https://orcid.org/0000-0001-9738-2487; Oektem, Ozan und Petersen, Philipp
(2022):
Deep microlocal reconstruction for limited-angle tomography.
In: Applied and Computational Harmonic Analysis, Bd. 59: S. 155-197
Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487; Petersen, Philipp; Raslan, Mones und Schneider, Reinhold
(2021):
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs.
In: Constructive Approximation, Bd. 55, Nr. 1: S. 73-125
ORCID: https://orcid.org/0000-0001-9738-2487; Petersen, Philipp; Raslan, Mones und Schneider, Reinhold
(2021):
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs.
In: Constructive Approximation, Bd. 55, Nr. 1: S. 73-125
Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold und Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487
(2021):
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks.
In: Journal of Scientific Computing, Bd. 88, 22
[PDF, 2MB]
ORCID: https://orcid.org/0000-0001-9738-2487
(2021):
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks.
In: Journal of Scientific Computing, Bd. 88, 22
[PDF, 2MB]
Grohs, Philipp; Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487; Ma, Jackie; Petersen, Philipp und Raslan, Mones
(2020):
Anisotropic multiscale systems on bounded domains.
In: Advances in Computational Mathematics, Bd. 46, 39
ORCID: https://orcid.org/0000-0001-9738-2487; Ma, Jackie; Petersen, Philipp und Raslan, Mones
(2020):
Anisotropic multiscale systems on bounded domains.
In: Advances in Computational Mathematics, Bd. 46, 39
Gühring, Ingo; Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2020):
Error bounds for approximations with deep ReLU neural networks in Ws,p norms.
In: Analysis and Applications, Bd. 18, Nr. 5: S. 803-859
ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2020):
Error bounds for approximations with deep ReLU neural networks in Ws,p norms.
In: Analysis and Applications, Bd. 18, Nr. 5: S. 803-859
Bölcskei, Helmut ORCID: https://orcid.org/0000-0003-3047-5149; Grohs, Philipp; Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2019):
Optimal Approximation with Sparsely Connected Deep Neural Networks.
In: SIAM Journal on Mathematics of Data Science, Bd. 1, Nr. 1: S. 8-45
[PDF, 661kB]
ORCID: https://orcid.org/0000-0003-3047-5149; Grohs, Philipp; Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2019):
Optimal Approximation with Sparsely Connected Deep Neural Networks.
In: SIAM Journal on Mathematics of Data Science, Bd. 1, Nr. 1: S. 8-45
[PDF, 661kB]
Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2017):
Classification of edges using compactly supported shearlets.
In: Applied and Computational Harmonic Analysis, Bd. 42, Nr. 2: S. 245-293
ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2017):
Classification of edges using compactly supported shearlets.
In: Applied and Computational Harmonic Analysis, Bd. 42, Nr. 2: S. 245-293
Buchbeitrag
Berner, Julius; Grohs, Philipp; Kutyniok, Gitta ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2023):
The Modern Mathematics of Deep Learning.
In: Grohs, Philipp und Kutyniok, Gitta (Hrsg.):
Mathematical Aspects of Deep Learning. Cambridge: Cambridge University Press. S. 1-111
ORCID: https://orcid.org/0000-0001-9738-2487 und Petersen, Philipp
(2023):
The Modern Mathematics of Deep Learning.
In: Grohs, Philipp und Kutyniok, Gitta (Hrsg.):
Mathematical Aspects of Deep Learning. Cambridge: Cambridge University Press. S. 1-111