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2020 – today
- 2024
[c11]Frederik Hoppe, Claudio Mayrink Verdun, Hannah Laus, Sebastian Endt, Marion I. Menzel, Felix Krahmer, Holger Rauhut:
Imaging with Confidence: Uncertainty Quantification for High-Dimensional Undersampled MR Images. ECCV (78) 2024: 432-450- [i50]Frederik Hoppe, Claudio Mayrink Verdun, Felix Krahmer, Marion I. Menzel, Holger Rauhut:
With or Without Replacement? Improving Confidence in Fourier Imaging. CoRR abs/2407.13575 (2024) - [i49]Frederik Hoppe, Claudio Mayrink Verdun, Hannah Laus, Felix Krahmer, Holger Rauhut:
Non-Asymptotic Uncertainty Quantification in High-Dimensional Learning. CoRR abs/2407.13666 (2024) - [i48]Frederik Hoppe, Felix Krahmer, Claudio Mayrink Verdun, Marion I. Menzel, Holger Rauhut:
High-Dimensional Confidence Regions in Sparse MRI. CoRR abs/2407.18964 (2024) - 2023
- [c10]Frederik Hoppe, Felix Krahmer, Claudio Mayrink Verdun, Marion I. Menzel, Holger Rauhut:
High-Dimensional Confidence Regions in Sparse MRI. ICASSP 2023: 1-5 - [c9]Frederik Hoppe, Claudio Mayrink Verdun, Hannah Laus, Felix Krahmer, Holger Rauhut:
Uncertainty Quantification For Learned ISTA. MLSP 2023: 1-6 - [c8]Leonardo Galli, Holger Rauhut, Mark Schmidt:
Don't be so Monotone: Relaxing Stochastic Line Search in Over-Parameterized Models. NeurIPS 2023 - [i47]Hung-Hsu Chou, Holger Rauhut, Rachel A. Ward:
Robust Implicit Regularization via Weight Normalization. CoRR abs/2305.05448 (2023) - [i46]Leonardo Galli, Holger Rauhut, Mark Schmidt:
Don't be so Monotone: Relaxing Stochastic Line Search in Over-Parameterized Models. CoRR abs/2306.12747 (2023) - [i45]Frederik Hoppe, Claudio Mayrink Verdun, Felix Krahmer, Hannah Laus, Holger Rauhut:
Uncertainty quantification for learned ISTA. CoRR abs/2309.07982 (2023) - 2022
- [j21]Yuege Xie, Hung-Hsu Chou, Holger Rauhut
, Rachel A. Ward:
Overparameterization and Generalization Error: Weighted Trigonometric Interpolation. SIAM J. Math. Data Sci. 4(2): 885-908 (2022) - [c7]Vasiliki Kouni, Georgios Paraskevopoulos, Holger Rauhut, George C. Alexandropoulos:
ADMM-DAD Net: A Deep Unfolding Network for Analysis Compressed Sensing. ICASSP 2022: 1506-1510 - [i44]Frederik Hoppe, Felix Krahmer, Claudio Mayrink Verdun, Marion I. Menzel, Holger Rauhut:
Uncertainty quantification for sparse Fourier recovery. CoRR abs/2212.14864 (2022) - 2021
- [j20]Holger Rauhut, Zeljka Stojanac:
Tensor theta norms and low rank recovery. Numer. Algorithms 88(1): 25-66 (2021) - [c6]Vasiliki Kouni, Holger Rauhut:
Spark Deficient Gabor Frame Provides A Novel Analysis Operator For Compressed Sensing. ICONIP (6) 2021: 700-708 - [i43]Vasiliki Kouni, Holger Rauhut:
Spark Deficient Gabor Frame Provides a Novel Analysis Operator for Compressed Sensing. CoRR abs/2103.11233 (2021) - [i42]Sjoerd Dirksen, Johannes Maly, Holger Rauhut:
Covariance estimation under one-bit quantization. CoRR abs/2104.01280 (2021) - [i41]Vasiliki Kouni, Holger Rauhut:
Star DGT: a Robust Gabor Transform for Speech Denoising. CoRR abs/2104.14468 (2021) - [i40]Gabin Maxime Nguegnang, Holger Rauhut, Ulrich Terstiege:
Convergence of gradient descent for learning linear neural networks. CoRR abs/2108.02040 (2021) - [i39]Wiebke Bartolomaeus, Youness Boutaib, Sandra Nestler, Holger Rauhut:
Path classification by stochastic linear recurrent neural networks. CoRR abs/2108.03090 (2021) - [i38]Vasiliki Kouni, Georgios Paraskevopoulos, Holger Rauhut, George C. Alexandropoulos:
ADMM-DAD net: a deep unfolding network for analysis compressed sensing. CoRR abs/2110.06986 (2021) - [i37]Vasiliki Kouni, Holger Rauhut:
Spark Deficient Gabor Frames for Inverse Problems. CoRR abs/2110.09296 (2021) - [i36]Ekkehard Schnoor, Arash Behboodi, Holger Rauhut:
Generalization Error Bounds for Iterative Recovery Algorithms Unfolded as Neural Networks. CoRR abs/2112.04364 (2021) - [i35]Hung-Hsu Chou, Johannes Maly, Holger Rauhut:
More is Less: Inducing Sparsity via Overparameterization. CoRR abs/2112.11027 (2021) - 2020
- [c5]Sandra Nestler, Christian Keup, David Dahmen, Matthieu Gilson, Holger Rauhut, Moritz Helias:
Unfolding recurrence by Green's functions for optimized reservoir computing. NeurIPS 2020 - [i34]Simone Brugiapaglia, Sjoerd Dirksen, Hans Christian Jung, Holger Rauhut:
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. CoRR abs/2005.06994 (2020) - [i33]Yuege Xie, Rachel A. Ward, Holger Rauhut, Hung-Hsu Chou:
Weighted Optimization: better generalization by smoother interpolation. CoRR abs/2006.08495 (2020) - [i32]Arash Behboodi, Holger Rauhut, Ekkehard Schnoor:
Generalization bounds for deep thresholding networks. CoRR abs/2010.15658 (2020) - [i31]Hung-Hsu Chou, Carsten Gieshoff, Johannes Maly, Holger Rauhut:
Gradient Descent for Deep Matrix Factorization: Dynamics and Implicit Bias towards Low Rank. CoRR abs/2011.13772 (2020)
2010 – 2019
- 2019
- [i30]Olivier Guédon, Felix Krahmer, Christian Kümmerle, Shahar Mendelson, Holger Rauhut:
On the geometry of polytopes generated by heavy-tailed random vectors. CoRR abs/1907.07258 (2019) - [i29]Bubacarr Bah, Holger Rauhut, Ulrich Terstiege, Michael Westdickenberg:
Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers. CoRR abs/1910.05505 (2019) - 2018
- [j19]Sjoerd Dirksen, Guillaume Lecué, Holger Rauhut:
On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions. IEEE Trans. Inf. Theory 64(8): 5478-5487 (2018) - 2017
- [j18]Holger Rauhut, Christoph Schwab:
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Math. Comput. 86(304): 661-700 (2017) - [i28]Maryia Kabanava, Holger Rauhut:
Masked Toeplitz covariance estimation. CoRR abs/1709.09377 (2017) - [i27]Sjoerd Dirksen, Hans Christian Jung, Holger Rauhut:
One-bit compressed sensing with partial Gaussian circulant matrices. CoRR abs/1710.03287 (2017) - 2016
- [j17]Massimo Fornasier, Steffen Peter, Holger Rauhut, Stephan Worm:
Conjugate gradient acceleration of iteratively re-weighted least squares methods. Comput. Optim. Appl. 65(1): 205-259 (2016) - [i26]Holger Rauhut, Reinhold Schneider, Zeljka Stojanac:
Low rank tensor recovery via iterative hard thresholding. CoRR abs/1602.05217 (2016) - [i25]Shahar Mendelson, Holger Rauhut, Rachel A. Ward:
Improved bounds for sparse recovery from subsampled random convolutions. CoRR abs/1610.04983 (2016) - [i24]Holger Rauhut, Ulrich Terstiege:
Low-rank matrix recovery via rank one tight frame measurements. CoRR abs/1612.03108 (2016) - 2015
- [r1]Massimo Fornasier, Holger Rauhut:
Compressive Sensing. Handbook of Mathematical Methods in Imaging 2015: 205-256 - [i23]Sjoerd Dirksen, Guillaume Lecué, Holger Rauhut:
On the gap between RIP-properties and sparse recovery conditions. CoRR abs/1504.05073 (2015) - [i22]Holger Rauhut, Zeljka Stojanac:
Tensor theta norms and low rank recovery. CoRR abs/1505.05175 (2015) - [i21]Maryia Kabanava, Richard Kueng, Holger Rauhut, Ulrich Terstiege:
Stable low-rank matrix recovery via null space properties. CoRR abs/1507.07184 (2015) - [i20]Dominik Dorsch, Holger Rauhut:
Refined analysis of sparse MIMO radar. CoRR abs/1509.03625 (2015) - 2014
- [j16]Nir Ailon, Holger Rauhut:
Fast and RIP-Optimal Transforms. Discret. Comput. Geom. 52(4): 780-798 (2014) - [j15]Max Hügel, Holger Rauhut, Thomas Strohmer:
Remote Sensing via ℓ 1-Minimization. Found. Comput. Math. 14(1): 115-150 (2014) - [j14]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): 807-808 (2014) - [i19]Felix Krahmer, Holger Rauhut:
Structured random measurements in signal processing. CoRR abs/1401.1106 (2014) - [i18]Holger Rauhut, Reinhold Schneider, Zeljka Stojanac:
Tensor completion in hierarchical tensor representations. CoRR abs/1404.3905 (2014) - [i17]Maryia Kabanava, Holger Rauhut, Hui Zhang:
Robust analysis ℓ1-recovery from Gaussian measurements and total variation minimization. CoRR abs/1407.7402 (2014) - [i16]Ulas Ayaz, Sjoerd Dirksen, Holger Rauhut:
Uniform recovery of fusion frame structured sparse signals. CoRR abs/1407.7680 (2014) - [i15]Richard Kueng, Holger Rauhut, Ulrich Terstiege:
Low rank matrix recovery from rank one measurements. CoRR abs/1410.6913 (2014) - 2013
- [b1]Simon Foucart, Holger Rauhut:
A Mathematical Introduction to Compressive Sensing. Applied and Numerical Harmonic Analysis, Birkhäuser 2013, ISBN 978-0-8176-4947-0, pp. I-XVIII, 1-625 - [i14]Nir Ailon, Holger Rauhut:
Fast and RIP-optimal transforms. CoRR abs/1301.0878 (2013) - [i13]Holger Rauhut, Maryia Kabanava:
Analysis ℓ1-recovery with frames and Gaussian measurements. CoRR abs/1306.1356 (2013) - 2012
- [j13]Holger Rauhut, Rachel A. Ward:
Sparse Legendre expansions via l1-minimization. J. Approx. Theory 164(5): 517-533 (2012) - [i12]Max Hügel, Holger Rauhut, Thomas Strohmer:
Remote sensing via ℓ1 minimization. CoRR abs/1205.1366 (2012) - [i11]Felix Krahmer, Shahar Mendelson, Holger Rauhut:
Suprema of Chaos Processes and the Restricted Isometry Property. CoRR abs/1207.0235 (2012) - 2011
- [j12]Massimo Fornasier, Holger Rauhut, Rachel A. Ward:
Low-rank Matrix Recovery via Iteratively Reweighted Least Squares Minimization. SIAM J. Optim. 21(4): 1614-1640 (2011) - [j11]Petros Boufounos, Gitta Kutyniok, Holger Rauhut:
Sparse Recovery From Combined Fusion Frame Measurements. IEEE Trans. Inf. Theory 57(6): 3864-3876 (2011) - [i10]Götz E. Pfander, Holger Rauhut, Joel A. Tropp:
The restricted isometry property for time-frequency structured random matrices. CoRR abs/1106.3184 (2011) - 2010
- [j10]Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich:
The Gelfand widths of lp-balls for 0p<=1. J. Complex. 26(6): 629-640 (2010) - [j9]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): 255-271 (2010) - [j8]Yonina C. Eldar, Holger Rauhut:
Average case analysis of multichannel sparse recovery using convex relaxation. IEEE Trans. Inf. Theory 56(1): 505-519 (2010) - [c4]Petros Boufounos, Gitta Kutyniok, Holger Rauhut:
Average case analysis of sparse recovery from combined fusion frame measurements. CISS 2010: 1-6 - [c3]Holger Rauhut, Rachel A. Ward:
Efficient and stable recovery of Legendre-sparse polynomials. CISS 2010: 1-6 - [c2]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: 3082-3085 - [i9]Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich:
The Gelfand widths of ℓp-balls for 0<p≤1. CoRR abs/1002.0672 (2010) - [i8]Ulas Ayaz, Holger Rauhut:
Nonuniform Sparse Recovery with Gaussian Matrices. CoRR abs/1007.2354 (2010) - [i7]Holger Rauhut, Justin K. Romberg, Joel A. Tropp:
Restricted Isometries for Partial Random Circulant Matrices. CoRR abs/1010.1847 (2010)
2000 – 2009
- 2009
- [i6]Holger Rauhut:
Circulant and Toeplitz matrices in compressed sensing. CoRR abs/0902.4394 (2009) - [i5]Georg Tauboeck, Franz Hlawatsch, Holger Rauhut:
Compressive estimation of doubly selective channels: exploiting channel sparsity to improve spectral efficiency in multicarrier transmissions. CoRR abs/0903.2774 (2009) - [i4]Yonina C. Eldar, Holger Rauhut:
Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation. CoRR abs/0904.0494 (2009) - [i3]Petros Boufounos, Gitta Kutyniok, Holger Rauhut:
Sparse Recovery from Combined Fusion Frame Measurements. CoRR abs/0912.4988 (2009) - 2008
- [j7]Stefan Kunis, Holger Rauhut:
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit. Found. Comput. Math. 8(6): 737-763 (2008) - [j6]Massimo Fornasier, Holger Rauhut:
Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints. SIAM J. Numer. Anal. 46(2): 577-613 (2008) - [j5]Holger Rauhut, Karin Schnass, Pierre Vandergheynst:
Compressed Sensing and Redundant Dictionaries. IEEE Trans. Inf. Theory 54(5): 2210-2219 (2008) - [j4]Holger Rauhut:
Stability Results for Random Sampling of Sparse Trigonometric Polynomials. IEEE Trans. Inf. Theory 54(12): 5661-5670 (2008) - [j3]Götz E. Pfander, Holger Rauhut, Jared Tanner:
Identification of Matrices Having a Sparse Representation. IEEE Trans. Signal Process. 56(11): 5376-5388 (2008) - 2007
- [c1]Rémi Gribonval, Boris Mailhé, Holger Rauhut, Karin Schnass, Pierre Vandergheynst:
Average Case Analysis of Multichannel Thresholding. ICASSP (2) 2007: 853-856 - [i2]Götz E. Pfander, Holger Rauhut:
Sparsity in time-frequency representations. CoRR abs/0711.2503 (2007) - [i1]Holger Rauhut, Karin Schnass, Pierre Vandergheynst:
Compressed Sensing and Redundant Dictionaries. CoRR abs/math/0701131 (2007) - 2005
- [j2]Holger Rauhut:
Best time localized trigonometric polynomials and wavelets. Adv. Comput. Math. 22(1): 1-20 (2005) - [j1]Holger Rauhut:
Wavelet Transforms Associated to Group Representations and Functions Invariant under Symmetry Groups. Int. J. Wavelets Multiresolution Inf. Process. 3(2): 167-187 (2005)
Coauthor Index
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