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ORCIDBibTeX records: Philipp Grohs
@article{DBLP:journals/adcm/GrohsHJZ23,
author = {Philipp Grohs and
Fabian Hornung and
Arnulf Jentzen and
Philipp Zimmermann},
title = {Space-time error estimates for deep neural network approximations
for differential equations},
journal = {Adv. Comput. Math.},
volume = {49},
number = {1},
pages = {4},
year = {2023},
url = {https://doi.org/10.1007/s10444-022-09970-2},
doi = {10.1007/S10444-022-09970-2},
timestamp = {Tue, 28 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/adcm/GrohsHJZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/GrohsKV23,
author = {Philipp Grohs and
Andreas Klotz and
Felix Voigtl{\"{a}}nder},
title = {Phase Transitions in Rate Distortion Theory and Deep Learning},
journal = {Found. Comput. Math.},
volume = {23},
number = {1},
pages = {329--392},
year = {2023},
url = {https://doi.org/10.1007/s10208-021-09546-4},
doi = {10.1007/S10208-021-09546-4},
timestamp = {Tue, 28 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/focm/GrohsKV23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/GrohsIJK23,
author = {Philipp Grohs and
Shokhrukh Ibragimov and
Arnulf Jentzen and
Sarah Koppensteiner},
title = {Lower bounds for artificial neural network approximations: {A} proof
that shallow neural networks fail to overcome the curse of dimensionality},
journal = {J. Complex.},
volume = {77},
pages = {101746},
year = {2023},
url = {https://doi.org/10.1016/j.jco.2023.101746},
doi = {10.1016/J.JCO.2023.101746},
timestamp = {Wed, 24 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jc/GrohsIJK23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/GrohsL23,
author = {Philipp Grohs and
Lukas Liehr},
title = {Non-Uniqueness Theory in Sampled {STFT} Phase Retrieval},
journal = {{SIAM} J. Math. Anal.},
volume = {55},
number = {5},
pages = {4695--4726},
year = {2023},
url = {https://doi.org/10.1137/22m1510224},
doi = {10.1137/22M1510224},
timestamp = {Thu, 09 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamma/GrohsL23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iclr/BernerGV23,
author = {Julius Berner and
Philipp Grohs and
Felix Voigtl{\"{a}}nder},
title = {Learning ReLU networks to high uniform accuracy is intractable},
booktitle = {The Eleventh International Conference on Learning Representations,
{ICLR} 2023, Kigali, Rwanda, May 1-5, 2023},
publisher = {OpenReview.net},
year = {2023},
url = {https://openreview.net/pdf?id=nchvKfvNeX0},
timestamp = {Fri, 30 Jun 2023 14:38:38 +0200},
biburl = {https://dblp.org/rec/conf/iclr/BernerGV23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/ScherbelaGG23,
author = {Michael Scherbela and
Leon Gerard and
Philipp Grohs},
editor = {Alice Oh and
Tristan Naumann and
Amir Globerson and
Kate Saenko and
Moritz Hardt and
Sergey Levine},
title = {Variational Monte Carlo on a Budget - Fine-tuning pre-trained Neural
Wavefunctions},
booktitle = {Advances in Neural Information Processing Systems 36: Annual Conference
on Neural Information Processing Systems 2023, NeurIPS 2023, New Orleans,
LA, USA, December 10 - 16, 2023},
year = {2023},
url = {http://papers.nips.cc/paper\_files/paper/2023/hash/4b5721f7fcc1672930d860e0dfcfee84-Abstract-Conference.html},
timestamp = {Fri, 01 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/nips/ScherbelaGG23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2303-09949,
author = {Michael Scherbela and
Leon Gerard and
Philipp Grohs},
title = {Towards a Foundation Model for Neural Network Wavefunctions},
journal = {CoRR},
volume = {abs/2303.09949},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2303.09949},
doi = {10.48550/ARXIV.2303.09949},
eprinttype = {arXiv},
eprint = {2303.09949},
timestamp = {Tue, 21 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2303-09949.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2304-02011,
author = {Pavol Har{\'{a}}r and
Lukas Herrmann and
Philipp Grohs and
David Haselbach},
title = {FakET: Simulating Cryo-Electron Tomograms with Neural Style Transfer},
journal = {CoRR},
volume = {abs/2304.02011},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2304.02011},
doi = {10.48550/ARXIV.2304.02011},
eprinttype = {arXiv},
eprint = {2304.02011},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2304-02011.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-09337,
author = {Michael Scherbela and
Leon Gerard and
Philipp Grohs},
title = {Variational Monte Carlo on a Budget - Fine-tuning pre-trained Neural
Wavefunctions},
journal = {CoRR},
volume = {abs/2307.09337},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.09337},
doi = {10.48550/ARXIV.2307.09337},
eprinttype = {arXiv},
eprint = {2307.09337},
timestamp = {Thu, 27 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-09337.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-13379,
author = {Ahmed Abdeljawad and
Philipp Grohs},
title = {Sampling Complexity of Deep Approximation Spaces},
journal = {CoRR},
volume = {abs/2312.13379},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.13379},
doi = {10.48550/ARXIV.2312.13379},
eprinttype = {arXiv},
eprint = {2312.13379},
timestamp = {Wed, 17 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-13379.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ficn/BauerHJHGAPW22,
author = {Lena G. M. Bauer and
Fabian Hirsch and
Corey Jones and
Matthew Hollander and
Philipp Grohs and
Amit Anand and
Claudia Plant and
Afra M. Wohlschl{\"{a}}ger},
title = {Quantification of Kuramoto Coupling Between Intrinsic Brain Networks
Applied to fMRI Data in Major Depressive Disorder},
journal = {Frontiers Comput. Neurosci.},
volume = {16},
pages = {729556},
year = {2022},
url = {https://doi.org/10.3389/fncom.2022.729556},
doi = {10.3389/FNCOM.2022.729556},
timestamp = {Sun, 17 Dec 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ficn/BauerHJHGAPW22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ncs/ScherbelaRGMG22,
author = {Michael Scherbela and
Rafael Reisenhofer and
Leon Gerard and
Philipp Marquetand and
Philipp Grohs},
title = {Solving the electronic Schr{\"{o}}dinger equation for multiple
nuclear geometries with weight-sharing deep neural networks},
journal = {Nat. Comput. Sci.},
volume = {2},
number = {5},
pages = {331--341},
year = {2022},
url = {https://doi.org/10.1038/s43588-022-00228-x},
doi = {10.1038/S43588-022-00228-X},
timestamp = {Mon, 15 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ncs/ScherbelaRGMG22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/AbdeljawadG22,
author = {Ahmed Abdeljawad and
Philipp Grohs},
title = {Integral representations of shallow neural network with rectified
power unit activation function},
journal = {Neural Networks},
volume = {155},
pages = {536--550},
year = {2022},
url = {https://doi.org/10.1016/j.neunet.2022.09.005},
doi = {10.1016/J.NEUNET.2022.09.005},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nn/AbdeljawadG22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/GerardSMG22,
author = {Leon Gerard and
Michael Scherbela and
Philipp Marquetand and
Philipp Grohs},
editor = {Sanmi Koyejo and
S. Mohamed and
A. Agarwal and
Danielle Belgrave and
K. Cho and
A. Oh},
title = {Gold-standard solutions to the Schr{\"{o}}dinger equation using
deep learning: How much physics do we need?},
booktitle = {Advances in Neural Information Processing Systems 35: Annual Conference
on Neural Information Processing Systems 2022, NeurIPS 2022, New Orleans,
LA, USA, November 28 - December 9, 2022},
year = {2022},
url = {http://papers.nips.cc/paper\_files/paper/2022/hash/430894999584d0bd358611e2ecf00b15-Abstract-Conference.html},
timestamp = {Mon, 08 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/nips/GerardSMG22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2205-09438,
author = {Leon Gerard and
Michael Scherbela and
Philipp Marquetand and
Philipp Grohs},
title = {Gold-standard solutions to the Schr{\"{o}}dinger equation using
deep learning: How much physics do we need?},
journal = {CoRR},
volume = {abs/2205.09438},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2205.09438},
doi = {10.48550/ARXIV.2205.09438},
eprinttype = {arXiv},
eprint = {2205.09438},
timestamp = {Mon, 23 May 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2205-09438.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2205-13531,
author = {Julius Berner and
Philipp Grohs and
Felix Voigtl{\"{a}}nder},
title = {Training ReLU networks to high uniform accuracy is intractable},
journal = {CoRR},
volume = {abs/2205.13531},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2205.13531},
doi = {10.48550/ARXIV.2205.13531},
eprinttype = {arXiv},
eprint = {2205.13531},
timestamp = {Tue, 31 May 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2205-13531.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BeckBGJJ21,
author = {Christian Beck and
Sebastian Becker and
Philipp Grohs and
Nor Jaafari and
Arnulf Jentzen},
title = {Solving the Kolmogorov {PDE} by Means of Deep Learning},
journal = {J. Sci. Comput.},
volume = {88},
number = {3},
pages = {73},
year = {2021},
url = {https://doi.org/10.1007/s10915-021-01590-0},
doi = {10.1007/S10915-021-01590-0},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/BeckBGJJ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/ElbrachterPGB21,
author = {Dennis Elbr{\"{a}}chter and
Dmytro Perekrestenko and
Philipp Grohs and
Helmut B{\"{o}}lcskei},
title = {Deep Neural Network Approximation Theory},
journal = {{IEEE} Trans. Inf. Theory},
volume = {67},
number = {5},
pages = {2581--2623},
year = {2021},
url = {https://doi.org/10.1109/TIT.2021.3062161},
doi = {10.1109/TIT.2021.3062161},
timestamp = {Thu, 27 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tit/ElbrachterPGB21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2101-06115,
author = {Ahmed Abdeljawad and
Philipp Grohs},
title = {Approximations with deep neural networks in Sobolev time-space},
journal = {CoRR},
volume = {abs/2101.06115},
year = {2021},
url = {https://arxiv.org/abs/2101.06115},
eprinttype = {arXiv},
eprint = {2101.06115},
timestamp = {Fri, 22 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2101-06115.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-04488,
author = {Philipp Grohs and
Shokhrukh Ibragimov and
Arnulf Jentzen and
Sarah Koppensteiner},
title = {Lower bounds for artificial neural network approximations: {A} proof
that shallow neural networks fail to overcome the curse of dimensionality},
journal = {CoRR},
volume = {abs/2103.04488},
year = {2021},
url = {https://arxiv.org/abs/2103.04488},
eprinttype = {arXiv},
eprint = {2103.04488},
timestamp = {Mon, 15 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-04488.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-05744,
author = {Philipp Grohs and
Lukas Herrmann},
title = {Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman
equations},
journal = {CoRR},
volume = {abs/2103.05744},
year = {2021},
url = {https://arxiv.org/abs/2103.05744},
eprinttype = {arXiv},
eprint = {2103.05744},
timestamp = {Tue, 16 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-05744.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2104-02746,
author = {Philipp Grohs and
Felix Voigtl{\"{a}}nder},
title = {Proof of the Theory-to-Practice Gap in Deep Learning via Sampling
Complexity bounds for Neural Network Approximation Spaces},
journal = {CoRR},
volume = {abs/2104.02746},
year = {2021},
url = {https://arxiv.org/abs/2104.02746},
eprinttype = {arXiv},
eprint = {2104.02746},
timestamp = {Tue, 13 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2104-02746.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2105-04026,
author = {Julius Berner and
Philipp Grohs and
Gitta Kutyniok and
Philipp Petersen},
title = {The Modern Mathematics of Deep Learning},
journal = {CoRR},
volume = {abs/2105.04026},
year = {2021},
url = {https://arxiv.org/abs/2105.04026},
eprinttype = {arXiv},
eprint = {2105.04026},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2105-04026.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2105-08351,
author = {Michael Scherbela and
Rafael Reisenhofer and
Leon Gerard and
Philipp Marquetand and
Philipp Grohs},
title = {Solving the electronic Schr{\"{o}}dinger equation for multiple
nuclear geometries with weight-sharing deep neural networks},
journal = {CoRR},
volume = {abs/2105.08351},
year = {2021},
url = {https://arxiv.org/abs/2105.08351},
eprinttype = {arXiv},
eprint = {2105.08351},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2105-08351.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2109-02494,
author = {Philipp Grohs and
Lukas Liehr},
title = {Stable Gabor phase retrieval in Gaussian shift-invariant spaces via
biorthogonality},
journal = {CoRR},
volume = {abs/2109.02494},
year = {2021},
url = {https://arxiv.org/abs/2109.02494},
eprinttype = {arXiv},
eprint = {2109.02494},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2109-02494.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2110-15304,
author = {Philipp Grohs and
Felix Voigtl{\"{a}}nder},
title = {Sobolev-type embeddings for neural network approximation spaces},
journal = {CoRR},
volume = {abs/2110.15304},
year = {2021},
url = {https://arxiv.org/abs/2110.15304},
eprinttype = {arXiv},
eprint = {2110.15304},
timestamp = {Tue, 02 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2110-15304.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2112-11157,
author = {Ahmed Abdeljawad and
Philipp Grohs},
title = {Integral representations of shallow neural network with Rectified
Power Unit activation function},
journal = {CoRR},
volume = {abs/2112.11157},
year = {2021},
url = {https://arxiv.org/abs/2112.11157},
eprinttype = {arXiv},
eprint = {2112.11157},
timestamp = {Tue, 04 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2112-11157.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/GrohsKMPR20,
author = {Philipp Grohs and
Gitta Kutyniok and
Jackie Ma and
Philipp Petersen and
Mones Raslan},
title = {Anisotropic multiscale systems on bounded domains},
journal = {Adv. Comput. Math.},
volume = {46},
number = {2},
pages = {39},
year = {2020},
url = {https://doi.org/10.1007/s10444-020-09784-0},
doi = {10.1007/S10444-020-09784-0},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/GrohsKMPR20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/GrohsKR20,
author = {Philipp Grohs and
Sarah Koppensteiner and
Martin Rathmair},
title = {Phase Retrieval: Uniqueness and Stability},
journal = {{SIAM} Rev.},
volume = {62},
number = {2},
pages = {301--350},
year = {2020},
url = {https://doi.org/10.1137/19M1256865},
doi = {10.1137/19M1256865},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/GrohsKR20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/simods/BernerGJ20,
author = {Julius Berner and
Philipp Grohs and
Arnulf Jentzen},
title = {Analysis of the Generalization Error: Empirical Risk Minimization
over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality
in the Numerical Approximation of Black-Scholes Partial Differential
Equations},
journal = {{SIAM} J. Math. Data Sci.},
volume = {2},
number = {3},
pages = {631--657},
year = {2020},
url = {https://doi.org/10.1137/19M125649X},
doi = {10.1137/19M125649X},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/simods/BernerGJ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/BernerDG20,
author = {Julius Berner and
Markus Dablander and
Philipp Grohs},
editor = {Hugo Larochelle and
Marc'Aurelio Ranzato and
Raia Hadsell and
Maria{-}Florina Balcan and
Hsuan{-}Tien Lin},
title = {Numerically Solving Parametric Families of High-Dimensional Kolmogorov
Partial Differential Equations via Deep Learning},
booktitle = {Advances in Neural Information Processing Systems 33: Annual Conference
on Neural Information Processing Systems 2020, NeurIPS 2020, December
6-12, 2020, virtual},
year = {2020},
url = {https://proceedings.neurips.cc/paper/2020/hash/c1714160652ca6408774473810765950-Abstract.html},
timestamp = {Tue, 19 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/nips/BernerDG20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2007-05384,
author = {Philipp Grohs and
Lukas Herrmann},
title = {Deep neural network approximation for high-dimensional elliptic PDEs
with boundary conditions},
journal = {CoRR},
volume = {abs/2007.05384},
year = {2020},
url = {https://arxiv.org/abs/2007.05384},
eprinttype = {arXiv},
eprint = {2007.05384},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2007-05384.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2008-01011,
author = {Philipp Grohs and
Andreas Klotz and
Felix Voigtl{\"{a}}nder},
title = {Phase Transitions in Rate Distortion Theory and Deep Learning},
journal = {CoRR},
volume = {abs/2008.01011},
year = {2020},
url = {https://arxiv.org/abs/2008.01011},
eprinttype = {arXiv},
eprint = {2008.01011},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2008-01011.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2011-04602,
author = {Julius Berner and
Markus Dablander and
Philipp Grohs},
title = {Numerically Solving Parametric Families of High-Dimensional Kolmogorov
Partial Differential Equations via Deep Learning},
journal = {CoRR},
volume = {abs/2011.04602},
year = {2020},
url = {https://arxiv.org/abs/2011.04602},
eprinttype = {arXiv},
eprint = {2011.04602},
timestamp = {Thu, 12 Nov 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2011-04602.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/AlaifariDGY19,
author = {Rima Alaifari and
Ingrid Daubechies and
Philipp Grohs and
Rujie Yin},
title = {Stable Phase Retrieval in Infinite Dimensions},
journal = {Found. Comput. Math.},
volume = {19},
number = {4},
pages = {869--900},
year = {2019},
url = {https://doi.org/10.1007/s10208-018-9399-7},
doi = {10.1007/S10208-018-9399-7},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/focm/AlaifariDGY19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ObermeierG19,
author = {Axel Obermeier and
Philipp Grohs},
title = {On the approximation of functions with line singularities by ridgelets},
journal = {J. Approx. Theory},
volume = {237},
pages = {30--95},
year = {2019},
url = {https://doi.org/10.1016/j.jat.2018.05.003},
doi = {10.1016/J.JAT.2018.05.003},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/ObermeierG19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/GrohsHSS19,
author = {Philipp Grohs and
Hanne Hardering and
Oliver Sander and
Markus Sprecher},
title = {Projection-Based Finite Elements for Nonlinear Function Spaces},
journal = {{SIAM} J. Numer. Anal.},
volume = {57},
number = {1},
pages = {404--428},
year = {2019},
url = {https://doi.org/10.1137/18M1176798},
doi = {10.1137/18M1176798},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/GrohsHSS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/simods/BolcskeiGKP19,
author = {Helmut B{\"{o}}lcskei and
Philipp Grohs and
Gitta Kutyniok and
Philipp Petersen},
title = {Optimal Approximation with Sparsely Connected Deep Neural Networks},
journal = {{SIAM} J. Math. Data Sci.},
volume = {1},
number = {1},
pages = {8--45},
year = {2019},
url = {https://doi.org/10.1137/18M118709X},
doi = {10.1137/18M118709X},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/simods/BolcskeiGKP19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icdm/BauerGWP19,
author = {Lena Greta Marie Bauer and
Philipp Grohs and
Afra M. Wohlschl{\"{a}}ger and
Claudia Plant},
editor = {Panagiotis Papapetrou and
Xueqi Cheng and
Qing He},
title = {Planting Synchronisation Trees for Discovering Interaction Patterns
Among Brain Regions},
booktitle = {2019 International Conference on Data Mining Workshops, {ICDM} Workshops
2019, Beijing, China, November 8-11, 2019},
pages = {1035--1036},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.1109/ICDMW.2019.00149},
doi = {10.1109/ICDMW.2019.00149},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icdm/BauerGWP19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/ElbrachterBG19,
author = {Dennis Elbr{\"{a}}chter and
Julius Berner and
Philipp Grohs},
editor = {Hanna M. Wallach and
Hugo Larochelle and
Alina Beygelzimer and
Florence d'Alch{\'{e}}{-}Buc and
Emily B. Fox and
Roman Garnett},
title = {How degenerate is the parametrization of neural networks with the
ReLU activation function?},
booktitle = {Advances in Neural Information Processing Systems 32: Annual Conference
on Neural Information Processing Systems 2019, NeurIPS 2019, December
8-14, 2019, Vancouver, BC, Canada},
pages = {7788--7799},
year = {2019},
url = {https://proceedings.neurips.cc/paper/2019/hash/04115ec378e476c56d19d827bcf8db56-Abstract.html},
timestamp = {Mon, 16 May 2022 15:41:51 +0200},
biburl = {https://dblp.org/rec/conf/nips/ElbrachterBG19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-02220,
author = {Philipp Grohs and
Dmytro Perekrestenko and
Dennis Elbr{\"{a}}chter and
Helmut B{\"{o}}lcskei},
title = {Deep Neural Network Approximation Theory},
journal = {CoRR},
volume = {abs/1901.02220},
year = {2019},
url = {http://arxiv.org/abs/1901.02220},
eprinttype = {arXiv},
eprint = {1901.02220},
timestamp = {Thu, 31 Jan 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-02220.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-05744,
author = {Dominik Alfke and
Weston Baines and
Jan Blechschmidt and
Mauricio J. del Razo Sarmina and
Amnon Drory and
Dennis Elbr{\"{a}}chter and
Nando Farchmin and
Matteo Gambara and
Silke Glas and
Philipp Grohs and
Peter Hinz and
Danijel Kivaranovic and
Christian K{\"{u}}mmerle and
Gitta Kutyniok and
Sebastian Lunz and
Jan MacDonald and
Ryan Malthaner and
Gregory Naisat and
Ariel Neufeld and
Philipp Christian Petersen and
Rafael Reisenhofer and
Jun{-}Da Sheng and
Laura Thesing and
Philipp Trunschke and
Johannes von Lindheim and
David Weber and
Melanie Weber},
title = {The Oracle of DLphi},
journal = {CoRR},
volume = {abs/1901.05744},
year = {2019},
url = {http://arxiv.org/abs/1901.05744},
eprinttype = {arXiv},
eprint = {1901.05744},
timestamp = {Mon, 04 Feb 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-05744.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1905-04992,
author = {Julius Berner and
Dennis Elbr{\"{a}}chter and
Philipp Grohs and
Arnulf Jentzen},
title = {Towards a regularity theory for ReLU networks - chain rule and global
error estimates},
journal = {CoRR},
volume = {abs/1905.04992},
year = {2019},
url = {http://arxiv.org/abs/1905.04992},
eprinttype = {arXiv},
eprint = {1905.04992},
timestamp = {Tue, 28 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1905-04992.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1905-09803,
author = {Julius Berner and
Dennis Elbr{\"{a}}chter and
Philipp Grohs},
title = {How degenerate is the parametrization of neural networks with the
ReLU activation function?},
journal = {CoRR},
volume = {abs/1905.09803},
year = {2019},
url = {http://arxiv.org/abs/1905.09803},
eprinttype = {arXiv},
eprint = {1905.09803},
timestamp = {Wed, 29 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1905-09803.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-03833,
author = {Philipp Grohs and
Fabian Hornung and
Arnulf Jentzen and
Philipp Zimmermann},
title = {Space-time error estimates for deep neural network approximations
for differential equations},
journal = {CoRR},
volume = {abs/1908.03833},
year = {2019},
url = {http://arxiv.org/abs/1908.03833},
eprinttype = {arXiv},
eprint = {1908.03833},
timestamp = {Mon, 19 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1908-03833.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-10828,
author = {Philipp Grohs and
Arnulf Jentzen and
Diyora Salimova},
title = {Deep neural network approximations for Monte Carlo algorithms},
journal = {CoRR},
volume = {abs/1908.10828},
year = {2019},
url = {http://arxiv.org/abs/1908.10828},
eprinttype = {arXiv},
eprint = {1908.10828},
timestamp = {Thu, 29 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1908-10828.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-09647,
author = {Lukas Gonon and
Philipp Grohs and
Arnulf Jentzen and
David Kofler and
David Siska},
title = {Uniform error estimates for artificial neural network approximations
for heat equations},
journal = {CoRR},
volume = {abs/1911.09647},
year = {2019},
url = {http://arxiv.org/abs/1911.09647},
eprinttype = {arXiv},
eprint = {1911.09647},
timestamp = {Tue, 03 Dec 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1911-09647.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/WiatowskiGB18,
author = {Thomas Wiatowski and
Philipp Grohs and
Helmut B{\"{o}}lcskei},
title = {Energy Propagation in Deep Convolutional Neural Networks},
journal = {{IEEE} Trans. Inf. Theory},
volume = {64},
number = {7},
pages = {4819--4842},
year = {2018},
url = {https://doi.org/10.1109/TIT.2017.2756880},
doi = {10.1109/TIT.2017.2756880},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tit/WiatowskiGB18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1806-00421,
author = {Christian Beck and
Sebastian Becker and
Philipp Grohs and
Nor Jaafari and
Arnulf Jentzen},
title = {Solving stochastic differential equations and Kolmogorov equations
by means of deep learning},
journal = {CoRR},
volume = {abs/1806.00421},
year = {2018},
url = {http://arxiv.org/abs/1806.00421},
eprinttype = {arXiv},
eprint = {1806.00421},
timestamp = {Sat, 23 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1806-00421.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1806-01528,
author = {Dmytro Perekrestenko and
Philipp Grohs and
Dennis Elbr{\"{a}}chter and
Helmut B{\"{o}}lcskei},
title = {The universal approximation power of finite-width deep ReLU networks},
journal = {CoRR},
volume = {abs/1806.01528},
year = {2018},
url = {http://arxiv.org/abs/1806.01528},
eprinttype = {arXiv},
eprint = {1806.01528},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1806-01528.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1809-02362,
author = {Philipp Grohs and
Fabian Hornung and
Arnulf Jentzen and
Philippe von Wurstemberger},
title = {A proof that artificial neural networks overcome the curse of dimensionality
in the numerical approximation of Black-Scholes partial differential
equations},
journal = {CoRR},
volume = {abs/1809.02362},
year = {2018},
url = {http://arxiv.org/abs/1809.02362},
eprinttype = {arXiv},
eprint = {1809.02362},
timestamp = {Fri, 05 Oct 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1809-02362.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1809-03062,
author = {Julius Berner and
Philipp Grohs and
Arnulf Jentzen},
title = {Analysis of the generalization error: Empirical risk minimization
over deep artificial neural networks overcomes the curse of dimensionality
in the numerical approximation of Black-Scholes partial differential
equations},
journal = {CoRR},
volume = {abs/1809.03062},
year = {2018},
url = {http://arxiv.org/abs/1809.03062},
eprinttype = {arXiv},
eprint = {1809.03062},
timestamp = {Fri, 05 Oct 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1809-03062.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/GrohsSY17,
author = {Philipp Grohs and
Markus Sprecher and
Thomas Yu},
title = {Scattered manifold-valued data approximation},
journal = {Numerische Mathematik},
volume = {135},
number = {4},
pages = {987--1010},
year = {2017},
url = {https://doi.org/10.1007/s00211-016-0823-0},
doi = {10.1007/S00211-016-0823-0},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/GrohsSY17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/AlaifariG17,
author = {Rima Alaifari and
Philipp Grohs},
title = {Phase Retrieval In The General Setting Of Continuous Frames For Banach
Spaces},
journal = {{SIAM} J. Math. Anal.},
volume = {49},
number = {3},
pages = {1895--1911},
year = {2017},
url = {https://doi.org/10.1137/16M1071481},
doi = {10.1137/16M1071481},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamma/AlaifariG17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isit/GrohsWB17,
author = {Philipp Grohs and
Thomas Wiatowski and
Helmut B{\"{o}}lcskei},
title = {Energy decay and conservation in deep convolutional neural networks},
booktitle = {2017 {IEEE} International Symposium on Information Theory, {ISIT}
2017, Aachen, Germany, June 25-30, 2017},
pages = {1356--1360},
publisher = {{IEEE}},
year = {2017},
url = {https://doi.org/10.1109/ISIT.2017.8006750},
doi = {10.1109/ISIT.2017.8006750},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/isit/GrohsWB17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/WiatowskiGB17,
author = {Thomas Wiatowski and
Philipp Grohs and
Helmut B{\"{o}}lcskei},
title = {Energy Propagation in Deep Convolutional Neural Networks},
journal = {CoRR},
volume = {abs/1704.03636},
year = {2017},
url = {http://arxiv.org/abs/1704.03636},
eprinttype = {arXiv},
eprint = {1704.03636},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/WiatowskiGB17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BolcskeiGKP17,
author = {Helmut B{\"{o}}lcskei and
Philipp Grohs and
Gitta Kutyniok and
Philipp Petersen},
title = {Optimal Approximation with Sparsely Connected Deep Neural Networks},
journal = {CoRR},
volume = {abs/1705.01714},
year = {2017},
url = {http://arxiv.org/abs/1705.01714},
eprinttype = {arXiv},
eprint = {1705.01714},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BolcskeiGKP17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/WiatowskiGB17aa,
author = {Thomas Wiatowski and
Philipp Grohs and
Helmut B{\"{o}}lcskei},
title = {Topology Reduction in Deep Convolutional Feature Extraction Networks},
journal = {CoRR},
volume = {abs/1707.02711},
year = {2017},
url = {http://arxiv.org/abs/1707.02711},
eprinttype = {arXiv},
eprint = {1707.02711},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/WiatowskiGB17aa.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/GrohsH16,
author = {Philipp Grohs and
Seyedehsomayeh Hosseini},
title = {{\(\epsilon\)}-subgradient algorithms for locally lipschitz functions
on Riemannian manifolds},
journal = {Adv. Comput. Math.},
volume = {42},
number = {2},
pages = {333--360},
year = {2016},
url = {https://doi.org/10.1007/s10444-015-9426-z},
doi = {10.1007/S10444-015-9426-Z},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/GrohsH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijwmip/GrohsKW16,
author = {Philipp Grohs and
Zeljko Kereta and
Uwe Wiesmann},
title = {A shearlet-based fast thresholded Landweber algorithm for deconvolution},
journal = {Int. J. Wavelets Multiresolution Inf. Process.},
volume = {14},
number = {5},
pages = {1650032:1--1650032:19},
year = {2016},
url = {https://doi.org/10.1142/S0219691316500326},
doi = {10.1142/S0219691316500326},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijwmip/GrohsKW16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/WiatowskiTSGB16,
author = {Thomas Wiatowski and
Michael Tschannen and
Aleksandar Stanic and
Philipp Grohs and
Helmut B{\"{o}}lcskei},
editor = {Maria{-}Florina Balcan and
Kilian Q. Weinberger},
title = {Discrete Deep Feature Extraction: {A} Theory and New Architectures},
booktitle = {Proceedings of the 33nd International Conference on Machine Learning,
{ICML} 2016, New York City, NY, USA, June 19-24, 2016},
series = {{JMLR} Workshop and Conference Proceedings},
volume = {48},
pages = {2149--2158},
publisher = {JMLR.org},
year = {2016},
url = {http://proceedings.mlr.press/v48/wiatowski16.html},
timestamp = {Wed, 29 May 2019 08:41:46 +0200},
biburl = {https://dblp.org/rec/conf/icml/WiatowskiTSGB16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isit/GrohsWB16,
author = {Philipp Grohs and
Thomas Wiatowski and
Helmut B{\"{o}}lcskei},
title = {Deep convolutional neural networks on cartoon functions},
booktitle = {{IEEE} International Symposium on Information Theory, {ISIT} 2016,
Barcelona, Spain, July 10-15, 2016},
pages = {1163--1167},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/ISIT.2016.7541482},
doi = {10.1109/ISIT.2016.7541482},
timestamp = {Wed, 16 Oct 2019 14:14:48 +0200},
biburl = {https://dblp.org/rec/conf/isit/GrohsWB16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/GrohsWB16,
author = {Philipp Grohs and
Thomas Wiatowski and
Helmut B{\"{o}}lcskei},
title = {Deep Convolutional Neural Networks on Cartoon Functions},
journal = {CoRR},
volume = {abs/1605.00031},
year = {2016},
url = {http://arxiv.org/abs/1605.00031},
eprinttype = {arXiv},
eprint = {1605.00031},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/GrohsWB16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/WiatowskiTSGB16,
author = {Thomas Wiatowski and
Michael Tschannen and
Aleksandar Stanic and
Philipp Grohs and
Helmut B{\"{o}}lcskei},
title = {Discrete Deep Feature Extraction: {A} Theory and New Architectures},
journal = {CoRR},
volume = {abs/1605.08283},
year = {2016},
url = {http://arxiv.org/abs/1605.08283},
eprinttype = {arXiv},
eprint = {1605.08283},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/WiatowskiTSGB16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/GrohsHS15,
author = {Philipp Grohs and
Hanne Hardering and
Oliver Sander},
title = {Optimal {A} Priori Discretization Error Bounds for Geodesic Finite
Elements},
journal = {Found. Comput. Math.},
volume = {15},
number = {6},
pages = {1357--1411},
year = {2015},
url = {https://doi.org/10.1007/s10208-014-9230-z},
doi = {10.1007/S10208-014-9230-Z},
timestamp = {Fri, 13 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/focm/GrohsHS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mmas/EtterGO15,
author = {Simon Etter and
Philipp Grohs and
Axel Obermeier},
title = {{FFRT:} {A} Fast Finite Ridgelet Transform for Radiative Transport},
journal = {Multiscale Model. Simul.},
volume = {13},
number = {1},
pages = {1--42},
year = {2015},
url = {https://doi.org/10.1137/140977722},
doi = {10.1137/140977722},
timestamp = {Tue, 31 Mar 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mmas/EtterGO15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/sp/15/DahlkeMGL15,
author = {Stephan Dahlke and
Filippo De Mari and
Philipp Grohs and
Demetrio Labate},
editor = {Stephan Dahlke and
Filippo De Mari and
Philipp Grohs and
Demetrio Labate},
title = {From Group Representations to Signal Analysis},
booktitle = {Harmonic and Applied Analysis - From Groups to Signals},
series = {Applied and Numerical Harmonic Analysis},
pages = {1--5},
publisher = {Birkh{\"{a}}user},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-18863-8\_1},
doi = {10.1007/978-3-319-18863-8\_1},
timestamp = {Tue, 19 May 2020 14:17:55 +0200},
biburl = {https://dblp.org/rec/books/sp/15/DahlkeMGL15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/sp/15/Grohs15,
author = {Philipp Grohs},
editor = {Stephan Dahlke and
Filippo De Mari and
Philipp Grohs and
Demetrio Labate},
title = {Optimally Sparse Data Representations},
booktitle = {Harmonic and Applied Analysis - From Groups to Signals},
series = {Applied and Numerical Harmonic Analysis},
pages = {199--248},
publisher = {Birkh{\"{a}}user},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-18863-8\_5},
doi = {10.1007/978-3-319-18863-8\_5},
timestamp = {Tue, 19 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/books/sp/15/Grohs15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/sp/15/DMGL2015,
editor = {Stephan Dahlke and
Filippo De Mari and
Philipp Grohs and
Demetrio Labate},
title = {Harmonic and Applied Analysis - From Groups to Signals},
series = {Applied and Numerical Harmonic Analysis},
publisher = {Birkh{\"{a}}user},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-18863-8},
doi = {10.1007/978-3-319-18863-8},
isbn = {978-3-319-18862-1},
timestamp = {Tue, 19 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/books/sp/15/DMGL2015.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/GrohsK14,
author = {Philipp Grohs and
Gitta Kutyniok},
title = {Parabolic Molecules},
journal = {Found. Comput. Math.},
volume = {14},
number = {2},
pages = {299--337},
year = {2014},
url = {https://doi.org/10.1007/s10208-013-9170-z},
doi = {10.1007/S10208-013-9170-Z},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/focm/GrohsK14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cas/GrohsO14,
author = {Philipp Grohs and
Axel Obermeier},
editor = {Jean{-}Daniel Boissonnat and
Albert Cohen and
Olivier Gibaru and
Christian Gout and
Tom Lyche and
Marie{-}Laurence Mazure and
Larry L. Schumaker},
title = {Ridgelet Methods for Linear Transport Equations},
booktitle = {Curves and Surfaces - 8th International Conference, Paris, France,
June 12-18, 2014, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {9213},
pages = {243--262},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-319-22804-4\_18},
doi = {10.1007/978-3-319-22804-4\_18},
timestamp = {Sat, 19 Oct 2019 20:24:46 +0200},
biburl = {https://dblp.org/rec/conf/cas/GrohsO14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/Grohs13,
author = {Philipp Grohs},
title = {Refinable functions for dilation families},
journal = {Adv. Comput. Math.},
volume = {38},
number = {3},
pages = {531--561},
year = {2013},
url = {https://doi.org/10.1007/s10444-011-9248-6},
doi = {10.1007/S10444-011-9248-6},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/Grohs13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cagd/Grohs13,
author = {Philipp Grohs},
title = {Geometric multiscale decompositions of dynamic low-rank matrices},
journal = {Comput. Aided Geom. Des.},
volume = {30},
number = {8},
pages = {805--826},
year = {2013},
url = {https://doi.org/10.1016/j.cagd.2013.07.002},
doi = {10.1016/J.CAGD.2013.07.002},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cagd/Grohs13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Grohs13,
author = {Philipp Grohs},
title = {Bandlimited shearlet-type frames with nice duals},
journal = {J. Comput. Appl. Math.},
volume = {243},
pages = {139--151},
year = {2013},
url = {https://doi.org/10.1016/j.cam.2012.10.030},
doi = {10.1016/J.CAM.2012.10.030},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Grohs13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jfi/GrohsW12,
author = {Philipp Grohs and
Johannes Wallner},
title = {Definability and stability of multiscale decompositions for manifold-valued
data},
journal = {J. Frankl. Inst.},
volume = {349},
number = {5},
pages = {1648--1664},
year = {2012},
url = {https://doi.org/10.1016/j.jfranklin.2011.02.010},
doi = {10.1016/J.JFRANKLIN.2011.02.010},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jfi/GrohsW12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/PottmannGB10,
author = {Helmut Pottmann and
Philipp Grohs and
Bernhard Blaschitz},
title = {Edge offset meshes in Laguerre geometry},
journal = {Adv. Comput. Math.},
volume = {33},
number = {1},
pages = {45--73},
year = {2010},
url = {https://doi.org/10.1007/s10444-009-9119-6},
doi = {10.1007/S10444-009-9119-6},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/PottmannGB10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Grohs10,
author = {Philipp Grohs},
title = {Approximation order from stability for nonlinear subdivision schemes},
journal = {J. Approx. Theory},
volume = {162},
number = {5},
pages = {1085--1094},
year = {2010},
url = {https://doi.org/10.1016/j.jat.2009.12.003},
doi = {10.1016/J.JAT.2009.12.003},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Grohs10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/DynGW10,
author = {Nira Dyn and
Philipp Grohs and
Johannes Wallner},
title = {Approximation order of interpolatory nonlinear subdivision schemes},
journal = {J. Comput. Appl. Math.},
volume = {233},
number = {7},
pages = {1697--1703},
year = {2010},
url = {https://doi.org/10.1016/j.cam.2009.02.017},
doi = {10.1016/J.CAM.2009.02.017},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/DynGW10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/Grohs10,
author = {Philipp Grohs},
title = {A General Proximity Analysis of Nonlinear Subdivision Schemes},
journal = {{SIAM} J. Math. Anal.},
volume = {42},
number = {2},
pages = {729--750},
year = {2010},
url = {https://doi.org/10.1137/09075963X},
doi = {10.1137/09075963X},
timestamp = {Fri, 03 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamma/Grohs10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/PottmannGM09,
author = {Helmut Pottmann and
Philipp Grohs and
Niloy J. Mitra},
title = {Laguerre minimal surfaces, isotropic geometry and linear elasticity},
journal = {Adv. Comput. Math.},
volume = {31},
number = {4},
pages = {391--419},
year = {2009},
url = {https://doi.org/10.1007/s10444-008-9076-5},
doi = {10.1007/S10444-008-9076-5},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/PottmannGM09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/Grohs09,
author = {Philipp Grohs},
title = {Smoothness equivalence properties of univariate subdivision schemes
and their projection analogues},
journal = {Numerische Mathematik},
volume = {113},
number = {2},
pages = {163--180},
year = {2009},
url = {https://doi.org/10.1007/s00211-009-0231-9},
doi = {10.1007/S00211-009-0231-9},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/Grohs09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/Grohs08,
author = {Philipp Grohs},
title = {Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity},
journal = {{SIAM} J. Numer. Anal.},
volume = {46},
number = {4},
pages = {2169--2182},
year = {2008},
url = {https://doi.org/10.1137/060669759},
doi = {10.1137/060669759},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/Grohs08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mmas/WallnerYG07,
author = {Johannes Wallner and
Esfandiar Nava Yazdani and
Philipp Grohs},
title = {Smoothness Properties of Lie Group Subdivision Schemes},
journal = {Multiscale Model. Simul.},
volume = {6},
number = {2},
pages = {493--505},
year = {2007},
url = {https://doi.org/10.1137/060668353},
doi = {10.1137/060668353},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mmas/WallnerYG07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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