P. Grohs
发表
Julius Berner,
Markus Dablander,
P. Grohs,
2020,
NeurIPS.
P. Grohs,
G. Kutyniok,
Sandra Keiper,
2014
.
P. Grohs,
G. Kutyniok,
Sandra Keiper,
2014,
1404.1043.
P. Grohs,
S. Hosseini,
2016
.
P. Grohs,
2015
.
P. Grohs,
G. Kutyniok,
H. Bölcskei,
2019
.
P. Grohs,
Arnulf Jentzen,
Diyora Salimova,
2019
.
P. Grohs,
2013
.
P. Grohs,
Martin Rathmair,
2017,
Communications on Pure and Applied Mathematics.
H. Pottmann,
P. Grohs,
M. Skopenkov,
2010,
1011.0272.
Arnulf Jentzen,
Philipp Grohs,
Christoph Schwab,
2018,
Constructive Approximation.
P. Grohs,
2016
.
Gitta Kutyniok,
Philipp Grohs,
Sandra Keiper,
2013,
Optics & Photonics - Optical Engineering + Applications.
P. Grohs,
Martin Rathmair,
Sarah Koppensteiner,
2019
.
P. Grohs,
G. Kutyniok,
Sandra Keiper,
2014
.
P. Grohs,
Martin Rathmair,
2018
.
R. Hiptmair,
P. Grohs,
S. Pintarelli,
2017
.
R. Hiptmair,
P. Grohs,
E. Fonn,
2015
.
P. Grohs,
E. Fonn,
2014
.
P. Grohs,
2012
.
Philipp Grohs,
P. Grohs,
Axel Obermeier,
2016
.
P. Grohs,
C. Schwab,
2011
.
P. Grohs,
Ž. Kereta,
2016
.
P. Grohs,
Ž. Kereta,
2020
.
Julius Berner,
P. Grohs,
F. Voigtlaender,
2022,
ArXiv.
Philipp Grohs,
Markus Sprecher,
P. Grohs,
2016
.
P. Grohs,
Lukas Liehr,
2022,
2207.05628.
P. Grohs,
Lukas Liehr,
2021,
Journal of Fourier Analysis and Applications.
Wolfgang Dahmen,
Ronald A. DeVore,
Philipp Grohs,
2021,
Constructive Approximation.
P. Marquetand,
P. Grohs,
Leon Gerard,
2022,
ArXiv.
P. Grohs,
Lukas Liehr,
2022,
2209.11127.
P. Grohs,
Martin Rathmair,
Lukas Liehr,
2022,
2207.10620.
P. Grohs,
Lukas Liehr,
Irina Shafkulovska,
2022,
2211.05687.
P. Grohs,
Rujie Yin,
Rima Alaifari,
2018,
Foundations of Computational Mathematics.
P. Grohs,
Arnulf Jentzen,
C. Schwab,
2021,
Constructive Approximation.
P. Grohs,
G. Kutyniok,
P. Petersen,
2020,
Advances in Computational Mathematics.
P. Grohs,
Lukas Liehr,
2022,
Journal of Fourier Analysis and Applications.
P. Grohs,
Lukas Liehr,
2020,
Applied and Computational Harmonic Analysis.
P. Grohs,
Lukas Liehr,
2021,
ArXiv.
I. Daubechies,
P. Grohs,
Rima Alaifari,
2016,
Journal of Fourier Analysis and Applications.
P. Marquetand,
P. Grohs,
Leon Gerard,
2022,
NeurIPS.
P. Grohs,
O. Sander,
Hanne Hardering,
2014,
Foundations of Computational Mathematics.
P. Grohs,
S. Hosseini,
2015,
Advances in Computational Mathematics.
Integral representations of shallow neural network with Rectified Power Unit activation function
pdf
Philipp Grohs,
Ahmed Abdeljawad,
P. Grohs,
2021,
Neural Networks.
P. Grohs,
Arnulf Jentzen,
Sarah Koppensteiner,
2021,
J. Complex..
Helmut Bölcskei,
Philipp Grohs,
Dmytro Perekrestenko,
2019,
IEEE Transactions on Information Theory.
Arnulf Jentzen,
Philipp Grohs,
Julius Berner,
2018,
SIAM J. Math. Data Sci..
Gitta Kutyniok,
Jan Blechschmidt,
Jan MacDonald,
2019,
ArXiv.
Helmut Bölcskei,
Gitta Kutyniok,
Philipp Petersen,
2017,
SIAM J. Math. Data Sci..
A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations
pdf
Arnulf Jentzen,
Philippe von Wurstemberger,
Philipp Grohs,
2018,
Memoirs of the American Mathematical Society.
Helmut Bölcskei,
Gitta Kutyniok,
Philipp Petersen,
2017,
Optical Engineering + Applications.
P. Grohs,
A. Anand,
A. Wohlschläger,
2022,
Frontiers in Computational Neuroscience.
Philipp Grohs,
Seyedehsomayeh Hosseini,
P. Grohs,
2015,
Advances in Computational Mathematics.
Philipp Grohs,
Markus Sprecher,
P. Grohs,
2014
.
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces
pdf
Philipp Grohs,
Felix Voigtlaender,
P. Grohs,
2021,
Found. Comput. Math..
Helmut Pottmann,
Niloy J. Mitra,
Philipp Grohs,
2009,
Adv. Comput. Math..
Philipp Grohs,
P. Grohs,
2010,
J. Approx. Theory.
Philipp Grohs,
P. Grohs,
2010,
SIAM J. Math. Anal..
Philipp Grohs,
P. Grohs,
2010
.
Philipp Grohs,
Axel Obermeier,
P. Grohs,
2016,
J. Approx. Theory.
Helmut Bölcskei,
Philipp Grohs,
Thomas Wiatowski,
2017,
2017 IEEE International Symposium on Information Theory (ISIT).
Philipp Grohs,
Zeljko Kereta,
Uwe Wiesmann,
2016,
Int. J. Wavelets Multiresolution Inf. Process..
Philipp Grohs,
Axel Obermeier,
S. Etter,
2014,
Multiscale Model. Simul..
Philipp Grohs,
P. Grohs,
Axel Obermeier,
2014,
1409.1881.
Philipp Grohs,
Axel Obermeier,
P. Grohs,
2014,
Curves and Surfaces.
Gitta Kutyniok,
Philipp Grohs,
Sandra Keiper,
2014
.
Philipp Grohs,
P. Grohs,
2013,
Adv. Comput. Math..
Philipp Grohs,
P. Grohs,
2010,
1001.1516.
Philipp Grohs,
P. Grohs,
2009,
0909.3712.
P. Grohs,
Leon Gerard,
Michael Scherbela,
2023,
ArXiv.
P. Marquetand,
P. Grohs,
Leon Gerard,
2021,
Nature Computational Science.
Julius Berner,
P. Grohs,
G. Kutyniok,
2021,
ArXiv.
P. Grohs,
Martin Rathmair,
Sarah Koppensteiner,
2019,
SIAM Rev..
P. Grohs,
N. Popper,
Lukas Herrmann,
2022,
medRxiv.
David S. Fischer,
P. Harar,
C. M. Verdun,
2020,
Frontiers in Public Health.
Philipp Grohs,
Oliver Sander,
Hanne Hardering,
2014,
Foundations of Computational Mathematics.
P. Grohs,
Lukas Herrmann,
L. Herrmann,
2020,
IMA Journal of Numerical Analysis.
Philipp Grohs,
P. Grohs,
2009,
Numerische Mathematik.
Sebastian Becker,
Arnulf Jentzen,
Philipp Grohs,
2018,
ArXiv.
Johannes Wallner,
Philipp Grohs,
P. Grohs,
2007
.
Ingrid Daubechies,
Philipp Grohs,
Rima Alaifari,
2016,
1601.07579.
P. Grohs,
F. Voigtlaender,
Andreas Klotz,
2020,
Foundations of Computational Mathematics.
Philipp Grohs,
Thomas Wiatowski,
Helmut Bölcskei,
2017,
IEEE Transactions on Information Theory.
Julius Berner,
P. Grohs,
F. Voigtlaender,
2022,
ICLR.
Philipp Grohs,
Stefano Vigogna,
P. Grohs,
2014,
Journal of Fourier Analysis and Applications.
Philipp Grohs,
P. Grohs,
2013
.
P. Grohs,
S. Vigogna,
2015
.
Philipp Grohs,
P. Grohs,
2015,
Harmonic and Applied Analysis.
Philipp Grohs,
P. Grohs,
2013,
J. Comput. Appl. Math..
Gitta Kutyniok,
Philipp Grohs,
P. Grohs,
2012,
Found. Comput. Math..
Helmut Bölcskei,
Philipp Grohs,
Thomas Wiatowski,
2016,
2016 IEEE International Symposium on Information Theory (ISIT).
Philipp Grohs,
Oliver Sander,
Hanne Hardering,
2018,
SIAM J. Numer. Anal..
P. Grohs,
2015
.
Philipp Grohs,
Ahmed Abdeljawad,
P. Grohs,
2020,
Analysis and Applications.
Arnulf Jentzen,
Philipp Grohs,
Diyora Salimova,
2019,
ArXiv.
Arnulf Jentzen,
Philipp Grohs,
Fabian Hornung,
2019,
Advances in Computational Mathematics.
Julius Berner,
P. Grohs,
Dennis Elbrächter,
2019,
NeurIPS.
Arnulf Jentzen,
Philipp Grohs,
Julius Berner,
2019,
2019 13th International conference on Sampling Theory and Applications (SampTA).
Philipp Grohs,
Rima Alaifari,
P. Grohs,
2016,
SIAM J. Math. Anal..
J. Boudreau,
T. Liu,
P. Grohs,
2017,
Proceedings of European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2019).
Philipp Grohs,
P. Grohs,
2013,
Comput. Aided Geom. Des..
P. Grohs,
Arnulf Jentzen,
D. Šiška,
2019,
IMA Journal of Numerical Analysis.
Arnulf Jentzen,
Philipp Grohs,
Nor Jaafari,
2018,
Journal of Scientific Computing.
P. Grohs,
D. Haselbach,
P. Harár,
2023,
ArXiv.
Thomas Yu,
Philipp Grohs,
Markus Sprecher,
2016,
Numerische Mathematik.
Johannes Wallner,
Philipp Grohs,
P. Grohs,
2010,
J. Frankl. Inst..
Philipp Grohs,
P. Grohs,
2011
.
Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations
pdf
Philipp Grohs,
Lukas Herrmann,
P. Grohs,
2021,
ArXiv.
Rujie Yin,
Ingrid Daubechies,
Philipp Grohs,
2016,
Foundations of Computational Mathematics.
P. Grohs,
Martin Rathmair,
Sarah Koppensteiner,
2019,
SIAM Rev..
Helmut Bölcskei,
Philipp Grohs,
Dmytro Perekrestenko,
2018,
ArXiv.
Johannes Wallner,
Philipp Grohs,
P. Grohs,
2009
.
Philipp Grohs,
P. Grohs,
2009
.
N. Mitra,
P. Grohs,
Laguerre,
2007
.
Gitta Kutyniok,
Philipp Petersen,
Philipp Grohs,
2015,
Adv. Comput. Math..
Johannes Wallner,
Esfandiar Nava Yazdani,
Philipp Grohs,
2007,
Multiscale Model. Simul..
Philipp Grohs,
P. Grohs,
2008,
SIAM J. Numer. Anal..
P. Grohs,
Lukas Liehr,
2022,
SIAM J. Math. Anal..
P. Grohs,
2012
.