Publications


Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames. / Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp et al.

In: Journal of Fourier Analysis and Applications, Vol. 23, No. 6, 01.12.2016, p. 1480-1494.

Publications: Contribution to journalArticlepeer-review


Cartoon Approximation with α -Curvelets. / Grohs, Philipp (Corresponding author); Kutyniok, Gitta; Keiper, Sandra.

In: Journal of Fourier Analysis and Applications, Vol. 22, No. 6, 12.2016, p. 1235-1293.

Publications: Contribution to journalArticlepeer-review


Total variation regularization on Riemannian manifolds by iteratively reweighted minimization. / Grohs, Philipp; Sprecher, Markus.

In: Information and Inference: An IMA Interdisciplinary Journal, Vol. 5, No. 4, 12.2016, p. 353-378.

Publications: Contribution to journalArticlepeer-review


Optimal Adaptive Ridgelet Schemes for Linear Advection Equations. / Grohs, Philipp; Obermeier, Axel.

In: Applied and Computational Harmonic Analysis, Vol. 41, No. 3, 11.2016, p. 768-814.

Publications: Contribution to journalArticlepeer-review


α-Molecules. / Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta et al.

In: Applied and Computational Harmonic Analysis, Vol. 41, No. 1, 07.2016, p. 297-336.

Publications: Contribution to journalArticlepeer-review


Nonsmooth Trust Region Algorithms for Locally Lipschitz Functions on Riemannian Manifolds. / Grohs, Philipp; Hosseini, Somayeh.

In: IMA Journal of Numerical Analysis, Vol. 36, No. 3, 07.2016, p. 1167-1192.

Publications: Contribution to journalArticlepeer-review


A Nicholson-type integral for the cross-product of the Bessel functions. / Hrycak, Tomasz (Corresponding author); Schmutzhard-Höfler, Sebastian.

In: Journal of Mathematical Analysis and Applications, Vol. 436, No. 1, 04.2016, p. 168-178.

Publications: Contribution to journalArticlepeer-review


ε-subgradient algorithms for locally lipschitz functions on Riemannian manifolds. / Grohs, Philipp; Hosseini, Somayeh.

In: Advances in Computational Mathematics, Vol. 42, No. 2, 04.2016, p. 333-360.

Publications: Contribution to journalArticlepeer-review


Modelling soot formation from wall films in a gasoline direct injection engine using a detailed population balance model. / Wang, Buyu; Mosbach, Sebastian; Schmutzhard-Höfler, Sebastian et al.

In: Applied Energy, Vol. 163, 02.2016, p. 154-166.

Publications: Contribution to journalArticlepeer-review


A Shearlet-Based Fast Thresholded Landweber Algorithm for Deconvolution. / Grohs, Philipp; Kereta, Zeljko; Wiesmann, Uwe.

In: International Journal of Wavelets, Multiresolution and Information Processing, Vol. 14, No. 5, 1650032, 2016.

Publications: Contribution to journalArticlepeer-review


Deep Convolutional Neural Networks on Cartoon Functions. / Grohs, Philipp; Wiatowski, Thomas; Boelcskei, Helmut.

2016. Paper presented at IEEE symposium on Information Theory, Barcelona, Spain.

Publications: Contribution to conferencePaperpeer-review


Discrete Deep Feature Extraction: A Theory and New Architectures. / Wiatowski, Thomas; Tschannen, Michael; Stanic, Alaksandr et al.

In: Proceedings of Machine Learning Research, Vol. 48, 2016, p. 2149-2158.

Publications: Contribution to journalArticlepeer-review


Harmonic And Applied Analysis: From Groups to Signals. / Dahlke, Stephan (Editor); DeMari, Filipo (Editor); Grohs, Philipp (Editor) et al.

Cham : Springer, 2016. 256 p. (Applied and Numerical Harmonic Analysis).

Publications: BookCollection


Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements. / Grohs, Philipp; Hardering, Hanne ; Sander, Oliver.

In: Foundations of Computational Mathematics, Vol. 15, No. 6, 12.2015, p. 1357-1411.

Publications: Contribution to journalArticlepeer-review


Hyperbolic Cross Approximation for the Spatially Homogeneous Boltzmann Equation. / Fonn, Eivind; Grohs, Philipp; Hiptmair, Ralf .

In: IMA Journal of Numerical Analysis, Vol. 35, No. 4, 10.2015, p. 1533-1567.

Publications: Contribution to journalArticlepeer-review


Wolfowitz's Theorem and Convergence of Consensus Algorithms in Hadamard Spaces. / Grohs, Philipp.

In: Proceedings of the American Mathematical Society, Vol. 143, No. 10, 10.2015, p. 4403-4414.

Publications: Contribution to journalArticlepeer-review


Intrinsic Localization of Anisotropic Frames II: $\alpha$-Molecules. / Grohs, Philipp; Vigogna, Stefano.

In: Journal of Fourier Analysis and Applications, Vol. 21, No. 1, 02.2015, p. 182-205.

Publications: Contribution to journalArticlepeer-review


FFRT - A Fast Finite Ridgelet Transform for Radiative Transport. / Etter, Simon ; Grohs, Philipp; Obermeier, Axel.

In: Multiscale Modeling & Simulation: a S I A M interdisciplinary journal, Vol. 13, No. 1, 2015, p. 1-42.

Publications: Contribution to journalArticlepeer-review


Ridgelet methods for linear transport equations. / Grohs, Philipp; Obermeier, Axel.

2015. 243-262 Paper presented at 8th International Conference: CURVES and SURFACES, Paris, France.

Publications: Contribution to conferencePaperpeer-review


Minimum Variance Estimation of a Sparse Vector Within the Linear Gaussian Model: An RKHS Approach. / Jung, Alexander; Schmutzhard-Höfler, Sebastian; Hlawatsch, Franz et al.

In: IEEE TRANSACTIONS ON INFORMATION THEORY, Vol. 60, No. 10, 10.2014, p. 6555-6575.

Publications: Contribution to journalArticlepeer-review