Publications

Inequalities involving Gegenbauer polynomials and their tangent lines. / Hrycak, Tomasz; Schmutzhard-Höfler, Sebastian.
In: Mathematical Inequalities and Applications, Vol. 22, No. 1, 2019, p. 353-360.

Publications: Contribution to journal › Article › Peer Reviewed

Optimal Approximation with Sparsely Connected Deep Neural Networks. / Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta et al.
In: SIAM Journal on Mathematics of Data Science, Vol. 1, No. 1, 2019, p. 8-45.

Publications: Contribution to journal › Article › Peer Reviewed

Projection-Based Finite Elements for Nonlinear Function Spaces. / Grohs, Philipp; Sander, Oliver; Sprecher, Markus et al.
In: SIAM Journal on Numerical Analysis, Vol. 57, No. 1, 2019, p. 404-428.

Publications: Contribution to journal › Article › Peer Reviewed

Stable Gabor Phase Retrieval and Spectral Clustering. / Grohs, Philipp; Rathmair, Martin.
In: Communications on Pure and Applied Mathematics, Vol. 72, No. 5, 2019, p. 981-1043.

Publications: Contribution to journal › Article › Peer Reviewed

Stable Phase Retrieval in Infinite Dimensions. / Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp (Corresponding author) et al.
In: Foundations of Computational Mathematics, Vol. 19, No. 4, 2019, p. 869–900.

Publications: Contribution to journal › Article › Peer Reviewed

Towards a regularity theory for ReLU networks – chain rule and global error estimates. / Berner, Julius; Elbrächter, Dennis; Grohs, Philipp et al.
2019 13th International Conference on Sampling Theory and Applications (SampTA). Piscataway, NJ: IEEE, 2019. p. 1-5.

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

Monitoring Progress of Parkinson's Disease Based on Changes in Phonation: a Pilot Study. / Galáz, Zoltán ; Mekyska, Jiri; Kiska, Tomas et al.
2018 41st International Conference on Telecommunications and Signal Processing, TSP 2018. ed. / Norbert Herencsar. IEEE, 2018.

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

Energy Propagation in Deep Convolutional Neural Networks. / Wiatowski, Thomas; Grohs, Philipp; Bölcskei, Helmut.
In: IEEE TRANSACTIONS ON INFORMATION THEORY, Vol. 64, No. 7, 07.2018, p. 4819-4842.

Publications: Contribution to journal › Article › Peer Reviewed

The Universal Approximation Power of Finite-Width Deep ReLU Networks. / Grohs, Philipp; Elbrächter, Dennis; Perekrestenko, Dmytro et al.
arXiv.org, 2018.

Publications: Working paper › Preprint

Evaluation of Chebyshev polynomials by a three-term recurrence in floating-point arithmetic. / Hrycak, Tomasz (Corresponding author); Schmutzhard-Höfler, Sebastian.
In: BIT Numerical Mathematics, Vol. 58, No. 2, 06.2018, p. 317–330.

Publications: Contribution to journal › Article › Peer Reviewed

BUT-CZAS: Korpus kvalitních nahrávek české řeči pořízených v bezodrazové komoře. / Hájek, Vojtěch; Hárar, Pavol; Schimmel, Jiři et al.
In: Elektrorevue, Vol. 20, No. 2, 30.04.2018, p. 48-52.

Publications: Contribution to journal › Article › Peer Reviewed

Nonlinear Data: Theory and Algorithms. / Grohs, Philipp; Sander, Oliver; Starck, Jean-Luc et al.
In: Oberwolfach Reports, Vol. 15, No. 2, 2018, p. 1161–1234.

Publications: Contribution to journal › Meeting abstract/Conference paper

Speech emotion recognition with deep learning. / Harar, Pavol; Burget, Radim; Dutta, Malay Kishore.
2017 4th International Conference on Signal Processing and Integrated Networks (SPIN). IEEE, 2017. p. 137-140.

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

Voice pathology detection using deep learning: a preliminary study. / Harar, Pavol; Alonso-Hernandez, Jesus B; Mekyska, Jiri et al.
2017 International Work Conference on Bio-Inspired Intelligence: Intelligent Systems for Biodiversity Conservation, IWOBI 2017 - Proceedings. ed. / Carlos Manuel Travieso-Gonzalez; Fernando Morgado-Dias; Jesus B. Alonso-Hernandez. IEEE, 2017. p. 1-4.

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

Scattered Manifold-Valued Data Approximation. / Grohs, Philipp; Sprecher, Markus; Yu, Thomas.
In: Numerische Mathematik, Vol. 135, No. 4, 04.2017, p. 987-1010.

Publications: Contribution to journal › Article › Peer Reviewed

Energy decay and conservation in deep convolutional neural networks. / Grohs, Philipp; Wiatowski, Thomas; Bölcskei, Helmut.
2017 IEEE International Symposium on Information Theory, ISIT 2017: Aachen, 25-30 June 2017. ed. / Gerhard Kramer. Piscataway, NJ: IEEE, 2017. p. 1356-1360 8006750 (IEEE International Symposium on Information Theory , Vol. 2017).

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

Memory Optimal Neural Network Approximation. / Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta et al.
Wavelets and Sparsity XVII: 6-9 August 2017, San Diego, California, United States. ed. / YM Lu; D VanDeVille; M Papadakis. Bellingham, Washington: SPIE, 2017. 103940Q (Proceedings of SPIE, Vol. 10394).

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

PHASE RETRIEVAL IN THE GENERAL SETTING OF CONTINUOUS FRAMES FOR BANACH SPACES. / Alaifari, Rima; Grohs, Philipp.
In: SIAM Journal on Mathematical Analysis, Vol. 49, No. 3, 2017, p. 1895-1911.

Publications: Contribution to journal › Article › Peer Reviewed

Tensor-Product Discretization for the Spatially Inhomogeneous and Transient Boltzmann Equation in Two Dimensions. / Grohs, Philipp; Hiptmair, Ralf ; Pintarelli, simon .
In: SMAI Journal of Computational Mathematics, Vol. 3, 2017, p. 219-248.

Publications: Contribution to journal › Article › Peer Reviewed

Topology Reduction in Deep Convolutional Feature Extraction Networks. / Wiatowski, Thomas; Grohs, Philipp; Bölcskei, Helmut.
Wavelets and Sparsity XVII: 6-9 August 2017, San Diego, California, United States. ed. / Yue M. Lu; Dimitri Van De Ville; Dimitri Van De Ville; Manos Papadakis. Bellingham, Washington: SPIE, 2017. 1039418 (Proceedings of SPIE, Vol. 10394).

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed