Holger Rauhut

According to our database, Holger Rauhut authored at least 56 papers between 2005 and 2020.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2020

Gradient Descent for Deep Matrix Factorization: Dynamics and Implicit Bias towards Low Rank.

Hung-Hsu Chou, Carsten Gieshoff, Johannes Maly, Holger Rauhut

CoRR, 2020

Generalization bounds for deep thresholding networks.

Arash Behboodi, Holger Rauhut, Ekkehard Schnoor

CoRR, 2020

Weighted Optimization: better generalization by smoother interpolation.

Yuege Xie, Rachel Ward, Holger Rauhut, Hung-Hsu Chou

CoRR, 2020

Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs.

Simone Brugiapaglia, Sjoerd Dirksen, Hans Christian Jung, Holger Rauhut

CoRR, 2020

Unfolding recurrence by Green's functions for optimized reservoir computing.

Sandra Nestler, Christian Keup, David Dahmen, Matthieu Gilson, Holger Rauhut, Moritz Helias

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

2019

Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers.

Bubacarr Bah, Holger Rauhut, Ulrich Terstiege, Michael Westdickenberg

CoRR, 2019

On the geometry of polytopes generated by heavy-tailed random vectors.

Olivier Guédon, Felix Krahmer, Christian Kümmerle, Shahar Mendelson, Holger Rauhut

CoRR, 2019

2018

On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions.

Sjoerd Dirksen, Guillaume Lecué, Holger Rauhut

IEEE Trans. Inf. Theory, 2018

2017

Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations.

Holger Rauhut, Christoph Schwab

Math. Comput., 2017

One-bit compressed sensing with partial Gaussian circulant matrices.

Sjoerd Dirksen, Hans Christian Jung, Holger Rauhut

CoRR, 2017

Masked Toeplitz covariance estimation.

Maryia Kabanava, Holger Rauhut

CoRR, 2017

2016

Low-rank matrix recovery via rank one tight frame measurements.

Holger Rauhut, Ulrich Terstiege

CoRR, 2016

Low rank tensor recovery via iterative hard thresholding.

Holger Rauhut, Reinhold Schneider, Zeljka Stojanac

CoRR, 2016

Improved bounds for sparse recovery from subsampled random convolutions.

Shahar Mendelson, Holger Rauhut, Rachel Ward

CoRR, 2016

Conjugate gradient acceleration of iteratively re-weighted least squares methods.

Massimo Fornasier, Steffen Peter, Holger Rauhut, Stephan Worm

Comput. Optim. Appl., 2016

2015

Compressive Sensing.

Massimo Fornasier, Holger Rauhut

Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Tensor theta norms and low rank recovery.

Holger Rauhut, Zeljka Stojanac

CoRR, 2015

Stable low-rank matrix recovery via null space properties.

Maryia Kabanava, Richard Kueng, Holger Rauhut, Ulrich Terstiege

CoRR, 2015

Refined analysis of sparse MIMO radar.

Dominik Dorsch, Holger Rauhut

CoRR, 2015

On the gap between RIP-properties and sparse recovery conditions.

Sjoerd Dirksen, Guillaume Lecué, Holger Rauhut

CoRR, 2015

2014

Foreword to the special section on compressive sensing applied to radar.

Matthias Weiss, Joachim H. G. Ender, Holger Rauhut, Gilda Schirinzi, Thomas Strohmer, Peter Willett

IEEE Trans. Aerosp. Electron. Syst., 2014

Remote Sensing via ℓ 1-Minimization.

Max Hügel, Holger Rauhut, Thomas Strohmer

Found. Comput. Math., 2014

Fast and RIP-Optimal Transforms.

Nir Ailon, Holger Rauhut

Discret. Comput. Geom., 2014

Tensor completion in hierarchical tensor representations.

Holger Rauhut, Reinhold Schneider, Zeljka Stojanac

CoRR, 2014

Low rank matrix recovery from rank one measurements.

Richard Kueng, Holger Rauhut, Ulrich Terstiege

CoRR, 2014

Structured random measurements in signal processing.

Felix Krahmer, Holger Rauhut

CoRR, 2014

Robust analysis ℓ₁-recovery from Gaussian measurements and total variation minimization.

Maryia Kabanava, Holger Rauhut, Hui Zhang

CoRR, 2014

Uniform recovery of fusion frame structured sparse signals.

Ulas Ayaz, Sjoerd Dirksen, Holger Rauhut

CoRR, 2014

2013

Analysis ℓ₁-recovery with frames and Gaussian measurements.

Holger Rauhut, Maryia Kabanava

CoRR, 2013

A Mathematical Introduction to Compressive Sensing.

Simon Foucart, Holger Rauhut

Applied and Numerical Harmonic Analysis, Birkhäuser, ISBN: 978-0-8176-4947-0, 2013

2012

Sparse Legendre expansions via l₁-minimization.

Holger Rauhut, Rachel Ward

J. Approx. Theory, 2012

Suprema of Chaos Processes and the Restricted Isometry Property

Felix Krahmer, Shahar Mendelson, Holger Rauhut

CoRR, 2012

Remote sensing via ℓ₁ minimization

Max Hügel, Holger Rauhut, Thomas Strohmer

CoRR, 2012

2011

Sparse Recovery From Combined Fusion Frame Measurements.

Petros Boufounos, Gitta Kutyniok, Holger Rauhut

IEEE Trans. Inf. Theory, 2011

Low-rank Matrix Recovery via Iteratively Reweighted Least Squares Minimization.

Massimo Fornasier, Holger Rauhut, Rachel Ward

SIAM J. Optim., 2011

The restricted isometry property for time-frequency structured random matrices

Götz E. Pfander, Holger Rauhut, Joel A. Tropp

CoRR, 2011

2010

Average case analysis of multichannel sparse recovery using convex relaxation.

Yonina C. Eldar, Holger Rauhut

IEEE Trans. Inf. Theory, 2010

Compressive Estimation of Doubly Selective Channels in Multicarrier Systems: Leakage Effects and Sparsity-Enhancing Processing.

Georg Tauböck, Franz Hlawatsch, Daniel Eiwen, Holger Rauhut

IEEE J. Sel. Top. Signal Process., 2010

The Gelfand widths of <i>l</i>_p-balls for 0p<=1.

Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich

J. Complex., 2010

Restricted Isometries for Partial Random Circulant Matrices

Holger Rauhut, Justin K. Romberg, Joel A. Tropp

CoRR, 2010

Nonuniform Sparse Recovery with Gaussian Matrices

Ulas Ayaz, Holger Rauhut

CoRR, 2010

The Gelfand widths of ℓ_p-balls for 0<p≤1

Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich

CoRR, 2010

Multichannel-compressive estimation of doubly selective channels in MIMO-OFDM systems: Exploiting and enhancing joint sparsity.

Daniel Eiwen, Georg Tauböck, Franz Hlawatsch, Holger Rauhut, Nicolai Czink

Proceedings of the IEEE International Conference on Acoustics, 2010

Efficient and stable recovery of Legendre-sparse polynomials.

Holger Rauhut, Rachel Ward

Proceedings of the 44th Annual Conference on Information Sciences and Systems, 2010

Average case analysis of sparse recovery from combined fusion frame measurements.

Petros Boufounos, Gitta Kutyniok, Holger Rauhut

Proceedings of the 44th Annual Conference on Information Sciences and Systems, 2010

2009

Compressive estimation of doubly selective channels: exploiting channel sparsity to improve spectral efficiency in multicarrier transmissions

Georg Tauboeck, Franz Hlawatsch, Holger Rauhut

CoRR, 2009

Circulant and Toeplitz matrices in compressed sensing

Holger Rauhut

CoRR, 2009

2008

Identification of Matrices Having a Sparse Representation.

Götz E. Pfander, Holger Rauhut, Jared Tanner

IEEE Trans. Signal Process., 2008

Compressed Sensing and Redundant Dictionaries.

Holger Rauhut, Karin Schnass, Pierre Vandergheynst

IEEE Trans. Inf. Theory, 2008

Stability Results for Random Sampling of Sparse Trigonometric Polynomials.

Holger Rauhut

IEEE Trans. Inf. Theory, 2008

Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints.

Massimo Fornasier, Holger Rauhut

SIAM J. Numer. Anal., 2008

Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit.

Stefan Kunis, Holger Rauhut

Found. Comput. Math., 2008

2007

Sparsity in time-frequency representations

Götz E. Pfander, Holger Rauhut

CoRR, 2007

Average Case Analysis of Multichannel Thresholding.

Rémi Gribonval, Boris Mailhé, Holger Rauhut, Karin Schnass, Pierre Vandergheynst

Proceedings of the IEEE International Conference on Acoustics, 2007

2005

Wavelet Transforms Associated to Group Representations and Functions Invariant under Symmetry Groups.

Holger Rauhut

Int. J. Wavelets Multiresolution Inf. Process., 2005

Best time localized trigonometric polynomials and wavelets.

Holger Rauhut

Adv. Comput. Math., 2005