Holger Rauhut

According to our database1, Holger Rauhut authored at least 56 papers between 2005 and 2020.

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Bibliography

2020
Gradient Descent for Deep Matrix Factorization: Dynamics and Implicit Bias towards Low Rank.
CoRR, 2020

Generalization bounds for deep thresholding networks.
CoRR, 2020

Weighted Optimization: better generalization by smoother interpolation.
CoRR, 2020

Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs.
CoRR, 2020

Unfolding recurrence by Green's functions for optimized reservoir computing.
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.
CoRR, 2019

On the geometry of polytopes generated by heavy-tailed random vectors.
CoRR, 2019

2018
On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions.
IEEE Trans. Inf. Theory, 2018

2017
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations.
Math. Comput., 2017

One-bit compressed sensing with partial Gaussian circulant matrices.
CoRR, 2017

Masked Toeplitz covariance estimation.
CoRR, 2017

2016
Low-rank matrix recovery via rank one tight frame measurements.
CoRR, 2016

Low rank tensor recovery via iterative hard thresholding.
CoRR, 2016

Improved bounds for sparse recovery from subsampled random convolutions.
CoRR, 2016

Conjugate gradient acceleration of iteratively re-weighted least squares methods.
Comput. Optim. Appl., 2016

2015
Compressive Sensing.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Tensor theta norms and low rank recovery.
CoRR, 2015

Stable low-rank matrix recovery via null space properties.
CoRR, 2015

Refined analysis of sparse MIMO radar.
CoRR, 2015

On the gap between RIP-properties and sparse recovery conditions.
CoRR, 2015

2014
Foreword to the special section on compressive sensing applied to radar.
IEEE Trans. Aerosp. Electron. Syst., 2014

Remote Sensing via ℓ 1-Minimization.
Found. Comput. Math., 2014

Fast and RIP-Optimal Transforms.
Discret. Comput. Geom., 2014

Tensor completion in hierarchical tensor representations.
CoRR, 2014

Low rank matrix recovery from rank one measurements.
CoRR, 2014

Structured random measurements in signal processing.
CoRR, 2014

Robust analysis ℓ<sub>1</sub>-recovery from Gaussian measurements and total variation minimization.
CoRR, 2014

Uniform recovery of fusion frame structured sparse signals.
CoRR, 2014

2013
Analysis ℓ<sub>1</sub>-recovery with frames and Gaussian measurements.
CoRR, 2013

A Mathematical Introduction to Compressive Sensing.
Applied and Numerical Harmonic Analysis, Birkhäuser, ISBN: 978-0-8176-4947-0, 2013

2012
Sparse Legendre expansions via l<sub>1</sub>-minimization.
J. Approx. Theory, 2012

Suprema of Chaos Processes and the Restricted Isometry Property
CoRR, 2012

Remote sensing via ℓ<sub>1</sub> minimization
CoRR, 2012

2011
Sparse Recovery From Combined Fusion Frame Measurements.
IEEE Trans. Inf. Theory, 2011

Low-rank Matrix Recovery via Iteratively Reweighted Least Squares Minimization.
SIAM J. Optim., 2011

The restricted isometry property for time-frequency structured random matrices
CoRR, 2011

2010
Average case analysis of multichannel sparse recovery using convex relaxation.
IEEE Trans. Inf. Theory, 2010

Compressive Estimation of Doubly Selective Channels in Multicarrier Systems: Leakage Effects and Sparsity-Enhancing Processing.
IEEE J. Sel. Top. Signal Process., 2010

The Gelfand widths of <i>l</i><sub>p</sub>-balls for 0p<=1.
J. Complex., 2010

Restricted Isometries for Partial Random Circulant Matrices
CoRR, 2010

Nonuniform Sparse Recovery with Gaussian Matrices
CoRR, 2010

The Gelfand widths of ℓ<sub>p</sub>-balls for 0<p≤1
CoRR, 2010

Multichannel-compressive estimation of doubly selective channels in MIMO-OFDM systems: Exploiting and enhancing joint sparsity.
Proceedings of the IEEE International Conference on Acoustics, 2010

Efficient and stable recovery of Legendre-sparse polynomials.
Proceedings of the 44th Annual Conference on Information Sciences and Systems, 2010

Average case analysis of sparse recovery from combined fusion frame measurements.
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
CoRR, 2009

Circulant and Toeplitz matrices in compressed sensing
CoRR, 2009

2008
Identification of Matrices Having a Sparse Representation.
IEEE Trans. Signal Process., 2008

Compressed Sensing and Redundant Dictionaries.
IEEE Trans. Inf. Theory, 2008

Stability Results for Random Sampling of Sparse Trigonometric Polynomials.
IEEE Trans. Inf. Theory, 2008

Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints.
SIAM J. Numer. Anal., 2008

Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit.
Found. Comput. Math., 2008

2007
Sparsity in time-frequency representations
CoRR, 2007

Average Case Analysis of Multichannel Thresholding.
Proceedings of the IEEE International Conference on Acoustics, 2007

2005
Wavelet Transforms Associated to Group Representations and Functions Invariant under Symmetry Groups.
Int. J. Wavelets Multiresolution Inf. Process., 2005

Best time localized trigonometric polynomials and wavelets.
Adv. Comput. Math., 2005


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