Holger Rauhut

Most-cited papers

A Mathematical Introduction to Compressive Sensing
Simon Foucart, Holger Rauhut
2013Applied and Numerical Harmonic Analysis2,586 citations
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Compressive Sensing with structured random matrices
Holger Rauhut
2012312 citations
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Suprema of Chaos Processes and the Restricted Isometry Property
Felix Krahmer, S. Mendelson, Holger Rauhut
2012arXiv.org284 citations Open access
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Low rank matrix recovery from rank one measurements
R. Kueng, Holger Rauhut, Ulrich Terstiege
2014arXiv.org268 citations Open access
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Sparse Legendre expansions via l1-minimization
Holger Rauhut, Rachel A. Ward
2012Journal of Approximation Theory250 citations Open access
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Low-rank Matrix Recovery via Iteratively Reweighted Least Squares Minimization
M. Fornasier, Holger Rauhut, Rachel A. Ward
2010SIAM Journal on Optimization247 citations Open access
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The restricted isometry property for time–frequency structured random matrices
G. Pfander, Holger Rauhut, J. Tropp
2010Probability theory and related fields209 citations Open access
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An Invitation to Compressive Sensing
Simon Foucart, Holger Rauhut
2013194 citations
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Low rank tensor recovery via iterative hard thresholding
Holger Rauhut, R. Schneider, Zeljka Stojanac
2016arXiv.org183 citations Open access
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Interpolation via weighted ℓ1 minimization
Holger Rauhut, Rachel A. Ward
2016168 citations Open access
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The Gelfand widths of lp-balls for 0p<=1
Simon Foucart, A. Pajor, Holger Rauhut, T. Ullrich
2010Journal of Complexity101 citations Open access
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Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers
B. Bah, Holger Rauhut, Ulrich Terstiege, Michael Westdickenberg
2019Information and Inference A Journal of the IMA95 citations Open access
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Stable low-rank matrix recovery via null space properties
Maryia Kabanava, R. Kueng, Holger Rauhut, Ulrich Terstiege
2015arXiv.org90 citations Open access
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Sparse recovery for spherical harmonic expansions
Holger Rauhut, Rachel A. Ward
201185 citations
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Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type
Holger Rauhut, T. Ullrich
201085 citations Open access
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The Gelfand widths of ℓp-balls for 0
Simon Foucart, A. Pajor, Holger Rauhut, T. Ullrich
2010arXiv.org76 citations
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Analysis ℓ1-recovery with Frames and Gaussian Measurements
Maryia Kabanava, Holger Rauhut
2013Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications75 citations
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Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
Holger Rauhut, C. Schwab
2014Mathematics of Computation59 citations Open access
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Gradient Descent for Deep Matrix Factorization: Dynamics and Implicit Bias towards Low Rank
Hung-Hsu Chou, Carsten Gieshoff, J. Maly, Holger Rauhut
2020Social Science Research Network58 citations Open access
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On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions
S. Dirksen, Guillaume Lecué, Holger Rauhut
2018IEEE Transactions on Information Theory58 citations
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Tensor completion in hierarchical tensor representations
Holger Rauhut, R. Schneider, Zeljka Stojanac
2014arXiv.org57 citations Open access
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One-bit compressed sensing with partial Gaussian circulant matrices
S. Dirksen, Hans Christian Jung, Holger Rauhut
2017Information and Inference A Journal of the IMA40 citations Open access
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More is Less: Inducing Sparsity via Overparameterization
Hung-Hsu Chou, J. Maly, Holger Rauhut
2021Information and Inference A Journal of the IMA38 citations Open access
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Embedding theorems for decomposition spaces with applications to wavelet coorbit spaces
F. Voigtlaender, Holger Rauhut, H. Feichtinger, H. Führ
201638 citations
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Refined Analysis of Sparse MIMO Radar
D. Dorsch, Holger Rauhut
2015Journal of Fourier Analysis and Applications38 citations Open access
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Remote Sensing via ℓ1-Minimization
M. Hugel, Holger Rauhut, T. Strohmer
2012Foundations of Computational Mathematics37 citations
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Cosparsity in Compressed Sensing
Maryia Kabanava, Holger Rauhut
201535 citations
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Covariance Estimation under One‐bit Quantization
S. Dirksen, J. Maly, Holger Rauhut
2021Pamm34 citations Open access
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Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs
Simone Brugiapaglia, S. Dirksen, Hans Christian Jung, Holger Rauhut
2020Applied and Computational Harmonic Analysis33 citations Open access
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Conjugate gradient acceleration of iteratively re-weighted least squares methods
M. Fornasier, Steffen Peter, Holger Rauhut, Stephan Worm
2015Computational optimization and applications32 citations Open access
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Convergence of gradient descent for learning linear neural networks
Gabin Maxime Nguegnang, Holger Rauhut, Ulrich Terstiege
2021Advances in Continuous and Discrete Models31 citations Open access
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Structured random measurements in signal processing
Felix Krahmer, Holger Rauhut
2014arXiv.org31 citations Open access
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Fast and RIP-Optimal Transforms
Nir Ailon, Holger Rauhut
2013Discrete & Computational Geometry30 citations Open access
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Uniform recovery of fusion frame structured sparse signals
U. Ayaz, S. Dirksen, Holger Rauhut
2014arXiv.org29 citations Open access
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Robust analysis ℓ1-recovery from Gaussian measurements and total variation minimization†
Maryia Kabanava, Holger Rauhut, Hui Zhang
2014European journal of applied mathematics25 citations Open access
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ADMM-DAD Net: A Deep Unfolding Network for Analysis Compressed Sensing
Vicky Kouni, Georgios Paraskevopoulos, Holger Rauhut, G. C. Alexandropoulos
2021IEEE International Conference on Acoustics, Speech, and Signal Processing24 citations Open access
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Compressive Sensing and Neural Networks from a Statistical Learning Perspective
A. Behboodi, Holger Rauhut, Ekkehard Schnoor
202024 citations
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Multi-level Compressed Sensing Petrov-Galerkin discretization of high-dimensional parametric PDEs
Jean-Luc Bouchot, Holger Rauhut, C. Schwab
201723 citations
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Improved bounds for sparse recovery from subsampled random convolutions
S. Mendelson, Holger Rauhut, Rachel A. Ward
2016The Annals of Applied Probability22 citations Open access
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Generalization Error Bounds for Iterative Recovery Algorithms Unfolded as Neural Networks
Ekkehard Schnoor, A. Behboodi, Holger Rauhut
2021arXiv.org21 citations
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Don't be so Monotone: Relaxing Stochastic Line Search in Over-Parameterized Models
Leonardo Galli, Holger Rauhut, M. Schmidt
2023Neural Information Processing Systems20 citations Open access
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Tensor theta norms and low rank recovery
Holger Rauhut, Zeljka Stojanac
2015Numerical Algorithms19 citations Open access
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Compressed sensing Petrov-Galerkin approximations for parametric PDEs
Jean-Luc Bouchot, Benjamin Bykowski, Holger Rauhut, C. Schwab
2015International Conference on Sampling Theory and Applications19 citations
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Jointly low-rank and bisparse recovery: Questions and partial answers
Simon Foucart, R. Gribonval, Laurent Jacques, Holger Rauhut
2019Analysis and Applications18 citations Open access
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On the gap between RIP-properties and sparse recovery conditions
S. Dirksen, Guillaume Lecué, Holger Rauhut
2015arXiv.org18 citations
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Interpolation via weighted $l_1$ minimization
Holger Rauhut, Rachel A. Ward
201318 citations
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Robust Implicit Regularization via Weight Normalization
Hung-Hsu Chou, Holger Rauhut, Rachel A. Ward
2023Information and Inference A Journal of the IMA16 citations Open access
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Nonuniform Sparse Recovery with Gaussian Matrices
U. Ayaz, Holger Rauhut
2010arXiv.org15 citations
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Restricted Isometry Property
Simon Foucart, Holger Rauhut
201312 citations
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Weighted Optimization: better generalization by smoother interpolation
Yuege Xie, Rachel A. Ward, Holger Rauhut, Hung-Hsu Chou
2020arXiv.org10 citations
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