philipp grohs
philipp grohs
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Bestätigte E-Mail-Adresse bei geometrie.tuwien.ac.at
Titel
Zitiert von
Zitiert von
Jahr
Optimal approximation with sparsely connected deep neural networks
H Bölcskei, P Grohs, G Kutyniok, P Petersen
SIAM Journal on Mathematics of Data Science 1 (1), 8-45, 2019
1332019
Parabolic molecules
P Grohs, G Kutyniok
Foundations of Computational Mathematics 14 (2), 299-337, 2014
802014
Laguerre minimal surfaces, isotropic geometry and linear elasticity
H Pottmann, P Grohs, NJ Mitra
Advances in computational mathematics 31 (4), 391, 2009
742009
A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations
P Grohs, F Hornung, A Jentzen, P Von Wurstemberger
arXiv preprint arXiv:1809.02362, 2018
712018
Continuous shearlet frames and resolution of the wavefront set
P Grohs
Monatshefte für Mathematik 164 (4), 393-426, 2011
642011
Solving stochastic differential equations and Kolmogorov equations by means of deep learning
C Beck, S Becker, P Grohs, N Jaafari, A Jentzen
arXiv preprint arXiv:1806.00421, 2018
602018
Analysis of the Generalization Error: Empirical Risk Minimization over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the Numerical Approximation of …
J Berner, P Grohs, A Jentzen
SIAM Journal on Mathematics of Data Science 2 (3), 631-657, 2020
512020
Smoothness properties of Lie group subdivision schemes
J Wallner, EN Yazdani, P Grohs
Multiscale modeling & simulation 6 (2), 493-505, 2007
482007
α-Molecules
P Grohs, S Keiper, G Kutyniok, M Schäfer
Applied and Computational Harmonic Analysis 41 (1), 297-336, 2016
462016
Deep neural network approximation theory
P Grohs, D Perekrestenko, D Elbrächter, H Bölcskei
arXiv preprint arXiv:1901.02220, 2019
432019
A general proximity analysis of nonlinear subdivision schemes
P Grohs
SIAM Journal on Mathematical Analysis 42 (2), 729-750, 2010
422010
ε-subgradient algorithms for locally lipschitz functions on Riemannian manifolds
P Grohs, S Hosseini
Advances in Computational Mathematics 42 (2), 333-360, 2016
412016
DNN expression rate analysis of high-dimensional PDEs: Application to option pricing
D Elbrächter, P Grohs, A Jentzen, C Schwab
arXiv preprint arXiv:1809.07669, 2018
382018
Optimal a priori discretization error bounds for geodesic finite elements
P Grohs, H Hardering, O Sander
Foundations of Computational Mathematics 15 (6), 1357-1411, 2015
382015
Stable phase retrieval in infinite dimensions
R Alaifari, I Daubechies, P Grohs, R Yin
Foundations of Computational Mathematics 19 (4), 869-900, 2019
372019
Interpolatory wavelets for manifold-valued data
P Grohs, J Wallner
Applied and Computational Harmonic Analysis 27 (3), 325-333, 2009
362009
Smoothness analysis of subdivision schemes on regular grids by proximity
P Grohs
SIAM journal on numerical analysis 46 (4), 2169-2182, 2008
352008
Smoothness equivalence properties of univariate subdivision schemes and their projection analogues
P Grohs
Numerische Mathematik 113 (2), 163-180, 2009
302009
Phase retrieval in the general setting of continuous frames for Banach spaces
R Alaifari, P Grohs
SIAM journal on mathematical analysis 49 (3), 1895-1911, 2017
292017
Continuous shearlet tight frames
P Grohs
Journal of Fourier Analysis and Applications 17 (3), 506-518, 2011
292011
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