Publications
Phase Distortion by Linear Signal Transforms. / Filbir, Frank; Liehr, Lukas (Corresponding author).
In: Frontiers in Applied Mathematics and Statistics, Vol. 6, 556585, 12.11.2020.Publications: Contribution to journal › Article › peer-review
Towards robust voice pathology detection : Investigation of supervised deep learning, gradient boosting, and anomaly detection approaches across four databases. / Harar, Pavol; Galaz, Zoltan; Alonso-Hernandez, Jesus B et al.
In: Neural Computing and Applications, Vol. 32, No. 20, 10.2020, p. 15747-15757.Publications: Contribution to journal › Article › peer-review
Anisotropic Multiscale Systems on Bounded Domains. / Grohs, Philipp; Kutyniok, Gitta; Ma, Jackie et al.
In: Advances in Computational Mathematics, Vol. 46, 39, 13.04.2020.Publications: Contribution to journal › Article › peer-review
On Orthogonal Projections for Dimension Reduction and Applications in Augmented Target Loss Functions for Learning Problems. / Breger, A.; Orlando, J. I.; Harar, P. et al.
In: Journal of Mathematical Imaging and Vision, Vol. 62, No. 3, 04.2020, p. 376–394.Publications: Contribution to journal › Article › peer-review
Analysis of edge and corner points using parabolic dictionaries. / Grohs, Philipp.
In: Applied and Computational Harmonic Analysis, Vol. 48, No. 2, 03.2020, p. 655-681.Publications: Contribution to journal › Article › peer-review
On the mathematical validity of the Higuchi method. / Liehr, L.; Massopust, P. (Corresponding author).
In: Physica D: Nonlinear Phenomena, Vol. 402, 132265, 15.01.2020.Publications: Contribution to journal › Article › peer-review
Evaluation of Legendre polynomials by a three-term recurrence in floating-point arithmetic. / Hrycak, Tomasz (Corresponding author); Schmutzhard-Höfler, Sebastian.
In: IMA Journal of Numerical Analysis, Vol. 40, No. 1, 01.01.2020, p. 587–605.Publications: Contribution to journal › Article › peer-review
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. / Berner, Julius; Grohs, Philipp; Jentzen, Arnulf.
In: SIAM Journal on Mathematics of Data Science, Vol. 2, No. 3, 2020, p. 631-657.Publications: Contribution to journal › Article › peer-review
Handbook of Variational Methods for Nonlinear Geometric Data. / Grohs, Philipp (Editor); Holler, Martin (Editor); Weinmann, Andreas (Editor).
Cham : Springer, 2020. 701 p.Publications: Book › Collection › peer-review
Numerically Solving Parametric Families of High-Dimensional Kolmogorov Partial Differential Equations via Deep Learning. / Berner, Julius; Dablander, Markus; Grohs, Philipp.
Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, NeurIPS 2020, December 6-12, 2020, virtual. ed. / H. Larochelle; M. Ranzato; R. Hadsell; M.F. Balcan; H. Lin. Cambridge, Mass. : MIT Press, 2020. (Advances in neural information processing systems : ... proceedings of the ... conference, Vol. 33).Publications: Contribution to book › Contribution to proceedings › peer-review
Phase Retrieval: Uniqueness and Stability. / Grohs, Philipp; Koppensteiner, Sarah; Rathmair, Martin.
In: SIAM Review, Vol. 62, No. 2, 2020, p. 301-350.Publications: Contribution to journal › Article › peer-review
Solving stochastic differential equations and Kolmogorov equations by means of deep learning. / Beck, Christian; Becker, Sebastian; Grohs, Philipp et al.
In: Journal of Scientific Computing, 2020.Publications: Contribution to journal › Article › peer-review
Planting Synchronisation Trees for Discovering Interaction Patterns among Brain Regions. / Bauer, Lena; Grohs, Philipp; Wohlschläger, Afra et al.
Proceedings - 19th IEEE International Conference on Data Mining Workshops, ICDMW 2019: 8–11 November 2019 Beijing, China. ed. / Panagiotis Papapetrou; Xueqi Cheng; Qing He. Piscataway, NJ : IEEE, 2019. p. 1035-1036 8955527 (International Conference on Data Mining workshops).Publications: Contribution to book › Contribution to proceedings › peer-review
Investigating Clarinet Articulation Using a Physical Model and an Artificial Blowing Machine. / Chatziioannou, Vasileios; Schmutzhard-Höfler, Sebastian; Pàmies-Vilà, Montserrat et al.
In: Acta Acustica united with Acustica, Vol. 105, No. 4, 01.07.2019, p. 682-694.Publications: Contribution to journal › Article › peer-review
Accurate evaluation of Chebyshev polynomials in floating-point arithmetic. / Hrycak, Tomasz (Corresponding author); Schmutzhard-Höfler, Sebastian.
In: BIT Numerical Mathematics, Vol. 59, 06.2019, p. 403–416.Publications: Contribution to journal › Article › peer-review
Gabor frames and deep scattering networks in audio processing. / Bammer, Roswitha; Dörfler, Monika; Harar, Pavol.
In: Axioms, Vol. 8, No. 4, 106, 01.01.2019.Publications: Contribution to journal › Article › peer-review
On the approximation of functions with line singularities by ridgelets. / Grohs, Philipp; Obermeier, Axel.
In: Journal of Approximation Theory, Vol. 237, 01.2019, p. 30-95.Publications: Contribution to journal › Article › peer-review
How degenerate is the parametrization of neural networks with the ReLU activation function? / Grohs, Philipp; Elbrächter, Dennis; Berner, Julius.
32nd Conference on Neural Information Processing Systems (NeurIPS 2019): Vancouver, Canada, 8-14 December 2019. Red Hook, NY : Curran Associates, 2019. p. 7790-7801 (Advances in neural information processing systems : ... proceedings of the ... conference, Vol. 32).Publications: Contribution to book › Contribution to proceedings › peer-review
Improving Machine Hearing on Limited Data Sets. / Harár, Pavol (Corresponding author); Bammer-Zimmer, Roswitha; Breger, Anna et al.
11th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2019. Piscataway, NJ : IEEE, 2019. p. 1-6 8970740.Publications: Contribution to book › Contribution to proceedings › peer-review
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-review