Holger Rauhut

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 42

Top Topics

Compressed Sensing

Generalization Error Bounds

Gabor Transform

Top Venues

IEEE Trans. Inf. Theory

Publications

Frederik Hoppe, Claudio Mayrink Verdun, Hannah Laus, Felix Krahmer, Holger Rauhut
Non-Asymptotic Uncertainty Quantification in High-Dimensional Learning. CoRR (2024)
Frederik Hoppe, Claudio Mayrink Verdun, Felix Krahmer, Marion I. Menzel, Holger Rauhut
With or Without Replacement? Improving Confidence in Fourier Imaging. CoRR (2024)
Frederik Hoppe, Felix Krahmer, Claudio Mayrink Verdun, Marion I. Menzel, Holger Rauhut
High-Dimensional Confidence Regions in Sparse MRI. CoRR (2024)
Frederik Hoppe, Felix Krahmer, Claudio Mayrink Verdun, Marion I. Menzel, Holger Rauhut
High-Dimensional Confidence Regions in Sparse MRI. ICASSP (2023)
Leonardo Galli, Holger Rauhut, Mark Schmidt
Don't be so Monotone: Relaxing Stochastic Line Search in Over-Parameterized Models. CoRR (2023)
Leonardo Galli, Holger Rauhut, Mark Schmidt
Don't be so Monotone: Relaxing Stochastic Line Search in Over-Parameterized Models. NeurIPS (2023)
Hung-Hsu Chou, Holger Rauhut, Rachel Ward
Robust Implicit Regularization via Weight Normalization. CoRR (2023)
Frederik Hoppe, Claudio Mayrink Verdun, Felix Krahmer, Hannah Laus, Holger Rauhut
Uncertainty quantification for learned ISTA. CoRR (2023)
Frederik Hoppe, Claudio Mayrink Verdun, Hannah Laus, Felix Krahmer, Holger Rauhut
Uncertainty Quantification For Learned ISTA. MLSP (2023)
Vasiliki Kouni, Georgios Paraskevopoulos, Holger Rauhut, George C. Alexandropoulos
ADMM-DAD Net: A Deep Unfolding Network for Analysis Compressed Sensing. ICASSP (2022)
Frederik Hoppe, Felix Krahmer, Claudio Mayrink Verdun, Marion I. Menzel, Holger Rauhut
Uncertainty quantification for sparse Fourier recovery. CoRR (2022)
Yuege Xie, Hung-Hsu Chou, Holger Rauhut, Rachel A. Ward
Overparameterization and Generalization Error: Weighted Trigonometric Interpolation. SIAM J. Math. Data Sci. 4 (2) (2022)
Vasiliki Kouni, Holger Rauhut
Spark Deficient Gabor Frame Provides A Novel Analysis Operator For Compressed Sensing. ICONIP (6) (2021)
Hung-Hsu Chou, Johannes Maly, Holger Rauhut
More is Less: Inducing Sparsity via Overparameterization. CoRR (2021)
Vasiliki Kouni, Georgios Paraskevopoulos, Holger Rauhut, George C. Alexandropoulos
ADMM-DAD net: a deep unfolding network for analysis compressed sensing. CoRR (2021)
Ekkehard Schnoor, Arash Behboodi, Holger Rauhut
Generalization Error Bounds for Iterative Recovery Algorithms Unfolded as Neural Networks. CoRR (2021)
Sjoerd Dirksen, Johannes Maly, Holger Rauhut
Covariance estimation under one-bit quantization. CoRR (2021)
Gabin Maxime Nguegnang, Holger Rauhut, Ulrich Terstiege
Convergence of gradient descent for learning linear neural networks. CoRR (2021)
Wiebke Bartolomaeus, Youness Boutaib, Sandra Nestler, Holger Rauhut
Path classification by stochastic linear recurrent neural networks. CoRR (2021)
Vasiliki Kouni, Holger Rauhut
Star DGT: a Robust Gabor Transform for Speech Denoising. CoRR (2021)
Holger Rauhut, Zeljka Stojanac
Tensor theta norms and low rank recovery. Numer. Algorithms 88 (1) (2021)
Vasiliki Kouni, Holger Rauhut
Spark Deficient Gabor Frame Provides a Novel Analysis Operator for Compressed Sensing. CoRR (2021)
Vasiliki Kouni, Holger Rauhut
Spark Deficient Gabor Frames for Inverse Problems. CoRR (2021)
Yuege Xie, Rachel Ward, Holger Rauhut, Hung-Hsu Chou
Weighted Optimization: better generalization by smoother interpolation. CoRR (2020)
Sandra Nestler, Christian Keup, David Dahmen, Matthieu Gilson, Holger Rauhut, Moritz Helias
Unfolding recurrence by Green's functions for optimized reservoir computing. NeurIPS (2020)
Hung-Hsu Chou, Carsten Gieshoff, Johannes Maly, Holger Rauhut
Gradient Descent for Deep Matrix Factorization: Dynamics and Implicit Bias towards Low Rank. CoRR (2020)
Arash Behboodi, Holger Rauhut, Ekkehard Schnoor
Generalization bounds for deep thresholding networks. CoRR (2020)
Simone Brugiapaglia, Sjoerd Dirksen, Hans Christian Jung, Holger Rauhut
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. CoRR (2020)
Olivier Guédon, Felix Krahmer, Christian Kümmerle, Shahar Mendelson, Holger Rauhut
On the geometry of polytopes generated by heavy-tailed random vectors. CoRR (2019)
Bubacarr Bah, Holger Rauhut, Ulrich Terstiege, Michael Westdickenberg
Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers. CoRR (2019)
Sjoerd Dirksen, Guillaume Lecué, Holger Rauhut
On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions. IEEE Trans. Inf. Theory 64 (8) (2018)
Maryia Kabanava, Holger Rauhut
Masked Toeplitz covariance estimation. CoRR (2017)
Sjoerd Dirksen, Hans Christian Jung, Holger Rauhut
One-bit compressed sensing with partial Gaussian circulant matrices. CoRR (2017)
Holger Rauhut, Christoph Schwab
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Math. Comput. 86 (304) (2017)
Holger Rauhut, Ulrich Terstiege
Low-rank matrix recovery via rank one tight frame measurements. CoRR (2016)
Shahar Mendelson, Holger Rauhut, Rachel Ward
Improved bounds for sparse recovery from subsampled random convolutions. CoRR (2016)
Holger Rauhut, Reinhold Schneider, Zeljka Stojanac
Low rank tensor recovery via iterative hard thresholding. CoRR (2016)
Massimo Fornasier, Steffen Peter, Holger Rauhut, Stephan Worm
Conjugate gradient acceleration of iteratively re-weighted least squares methods. Comput. Optim. Appl. 65 (1) (2016)
Maryia Kabanava, Richard Kueng, Holger Rauhut, Ulrich Terstiege
Stable low-rank matrix recovery via null space properties. CoRR (2015)
Dominik Dorsch, Holger Rauhut
Refined analysis of sparse MIMO radar. CoRR (2015)
Sjoerd Dirksen, Guillaume Lecué, Holger Rauhut
On the gap between RIP-properties and sparse recovery conditions. CoRR (2015)
Holger Rauhut, Zeljka Stojanac
Tensor theta norms and low rank recovery. CoRR (2015)
Max Hügel, Holger Rauhut, Thomas Strohmer
Remote Sensing via ℓ 1-Minimization. Found. Comput. Math. 14 (1) (2014)
Richard Kueng, Holger Rauhut, Ulrich Terstiege
Low rank matrix recovery from rank one measurements. CoRR (2014)
Nir Ailon, Holger Rauhut
Fast and RIP-Optimal Transforms. Discret. Comput. Geom. 52 (4) (2014)
Ulas Ayaz, Sjoerd Dirksen, Holger Rauhut
Uniform recovery of fusion frame structured sparse signals. CoRR (2014)
Felix Krahmer, Holger Rauhut
Structured random measurements in signal processing. CoRR (2014)
Holger Rauhut, Reinhold Schneider, Zeljka Stojanac
Tensor completion in hierarchical tensor representations. CoRR (2014)
Maryia Kabanava, Holger Rauhut, Hui Zhang
-recovery from Gaussian measurements and total variation minimization. CoRR (2014)
Matthias Weiss, Joachim H. G. Ender, Holger Rauhut, Gilda Schirinzi, Thomas Strohmer, Peter Willett
Foreword to the special section on compressive sensing applied to radar. IEEE Trans. Aerosp. Electron. Syst. 50 (2) (2014)
Holger Rauhut, Maryia Kabanava
-recovery with frames and Gaussian measurements. CoRR (2013)
Nir Ailon, Holger Rauhut
Fast and RIP-optimal transforms CoRR (2013)
Felix Krahmer, Shahar Mendelson, Holger Rauhut
Suprema of Chaos Processes and the Restricted Isometry Property CoRR (2012)
Max Hügel, Holger Rauhut, Thomas Strohmer
minimization CoRR (2012)
Holger Rauhut, Rachel Ward
-minimization. J. Approx. Theory 164 (5) (2012)
Petros Boufounos, Gitta Kutyniok, Holger Rauhut
Sparse Recovery From Combined Fusion Frame Measurements. IEEE Trans. Inf. Theory 57 (6) (2011)
Massimo Fornasier, Holger Rauhut, Rachel Ward
Low-rank Matrix Recovery via Iteratively Reweighted Least Squares Minimization. SIAM J. Optim. 21 (4) (2011)
Götz E. Pfander, Holger Rauhut, Joel A. Tropp
The restricted isometry property for time-frequency structured random matrices CoRR (2011)
Petros Boufounos, Gitta Kutyniok, Holger Rauhut
Average case analysis of sparse recovery from combined fusion frame measurements. CISS (2010)
Holger Rauhut, Justin K. Romberg, Joel A. Tropp
Restricted Isometries for Partial Random Circulant Matrices CoRR (2010)
Daniel Eiwen, Georg Tauböck, Franz Hlawatsch, Holger Rauhut, Nicolai Czink
Multichannel-compressive estimation of doubly selective channels in MIMO-OFDM systems: Exploiting and enhancing joint sparsity. ICASSP (2010)
Georg Tauböck, Franz Hlawatsch, Daniel Eiwen, Holger Rauhut
Compressive Estimation of Doubly Selective Channels in Multicarrier Systems: Leakage Effects and Sparsity-Enhancing Processing. IEEE J. Sel. Top. Signal Process. 4 (2) (2010)
Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich
-balls for 0<p≤1 CoRR (2010)
Ulas Ayaz, Holger Rauhut
Nonuniform Sparse Recovery with Gaussian Matrices CoRR (2010)
Yonina C. Eldar, Holger Rauhut
Average case analysis of multichannel sparse recovery using convex relaxation. IEEE Trans. Inf. Theory 56 (1) (2010)
Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich
-balls for 0p<=1. J. Complex. 26 (6) (2010)
Holger Rauhut, Rachel Ward
Efficient and stable recovery of Legendre-sparse polynomials. CISS (2010)
Georg Tauboeck, Franz Hlawatsch, Holger Rauhut
Compressive estimation of doubly selective channels: exploiting channel sparsity to improve spectral efficiency in multicarrier transmissions CoRR (2009)
Holger Rauhut
Circulant and Toeplitz matrices in compressed sensing CoRR (2009)
Yonina C. Eldar, Holger Rauhut
Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation CoRR (2009)
Petros Boufounos, Gitta Kutyniok, Holger Rauhut
Sparse Recovery from Combined Fusion Frame Measurements CoRR (2009)
Holger Rauhut
Stability Results for Random Sampling of Sparse Trigonometric Polynomials. IEEE Trans. Inf. Theory 54 (12) (2008)
Stefan Kunis, Holger Rauhut
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit. Found. Comput. Math. 8 (6) (2008)
Götz E. Pfander, Holger Rauhut, Jared Tanner
Identification of Matrices Having a Sparse Representation. IEEE Trans. Signal Process. 56 (11) (2008)
Holger Rauhut, Karin Schnass, Pierre Vandergheynst
Compressed Sensing and Redundant Dictionaries. IEEE Trans. Inf. Theory 54 (5) (2008)
Massimo Fornasier, Holger Rauhut
Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints. SIAM J. Numer. Anal. 46 (2) (2008)
Götz E. Pfander, Holger Rauhut
Sparsity in time-frequency representations CoRR (2007)
Holger Rauhut, Karin Schnass, Pierre Vandergheynst
Compressed Sensing and Redundant Dictionaries CoRR (2007)
Rémi Gribonval, Boris Mailhé, Holger Rauhut, Karin Schnass, Pierre Vandergheynst
Average Case Analysis of Multichannel Thresholding. ICASSP (2) (2007)
Holger Rauhut
Best time localized trigonometric polynomials and wavelets. Adv. Comput. Math. 22 (1) (2005)
Holger Rauhut
Wavelet Transforms Associated to Group Representations and Functions Invariant under Symmetry Groups. Int. J. Wavelets Multiresolution Inf. Process. 3 (2) (2005)