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Anzahl der Publikationen auf dieser Ebene: 73

2024

Nguegnang, Gabin Maxime ORCID logoORCID: https://orcid.org/0000-0002-6310-075X; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Terstiege, Ulrich (18. Juli 2024): Convergence of gradient descent for learning linear neural networks. In: Advances in Continuous and Discrete Models, Bd. 2024, 23 [PDF, 2MB]

2023

Galli, Leonardo ORCID logoORCID: https://orcid.org/0000-0002-8045-7101; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Schmidt, Mark (2023): Don't be so Monotone: Relaxing Stochastic Line Search in Over-Parameterized Models. Advances in Neural Information Processing Systems, New Orleans, 10. - 16. December 2023.

Kenneweg, Philip; Galli, Leonardo ORCID logoORCID: https://orcid.org/0000-0002-8045-7101; Kenneweg, Tristan und Hammer, Barbara (2023): Faster Convergence for Transformer Fine-tuning with Line Search Methods. International Joint Conference on Neural Networks (IJCNN), Queensland, 28. - 23. June 2023. In: 2023 International Joint Conference on Neural Networks (IJCNN), Piscataway Township, New Jersey: IEEE. S. 1-8

2022

Guédon, Olivier; Krahmer, Felix; Kümmerle, Christian; Mendelson, Shahar und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2022): On the geometry of polytopes generated by heavy-tailed random vectors. In: Communications in Contemporary Mathematics, Bd. 24, Nr. 3, 2150056

Xie, Yuege; Chou, Hung-Hsu; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ward, Rachel ORCID logoORCID: https://orcid.org/0000-0001-7651-089X (2022): Overparameterization and Generalization Error: Weighted Trigonometric Interpolation. In: SIAM Journal on Mathematics of Data Science, Bd. 4, Nr. 2: S. 885-908

2021

Bah, Bubacarr; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Terstiege, Ulrich und Westdickenberg, Michael (2021): Learning deep linear neural networks. Riemannian gradient flows and convergence to global minimizers. In: Information and Inference, Bd. 11, Nr. 1: S. 307-353

Brugiapaglia, Simone; Dirksen, Sjoerd; Jung, Hans Christian und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (Juli 2021): Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. In: Applied and Computational Harmonic Analysis, Bd. 53: S. 231-269

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Stojanac, Željka (2021): Tensor theta norms and low rank recovery. In: Numerical Algorithms, Bd. 88: S. 25-66 [PDF, 1MB]

2020

Foucart, Simon; Gribonval, Rémi; Jacques, Laurent und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2020): Jointly low-rank and bisparse recovery. Questions and partial answers. In: Analysis and Applications, Bd. 18, Nr. 01: S. 25-48

2019

Dirksen, Sjoerd; Jung, Hans Christian und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2019): One-bit compressed sensing with partial Gaussian circulant matrices. In: Information and Inference, Bd. 9, Nr. 3: S. 601-626

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Terstiege, Ulrich (2019): Low-Rank Matrix Recovery via Rank One Tight Frame Measurements. In: Journal of Fourier Analysis and Applications, Bd. 25, Nr. 2: S. 588-593

2018

Dirksen, Sjoerd; Lecue, Guillaume und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2018): On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions. In: IEEE Transactions on Information Theory, Bd. 64, Nr. 8: S. 5478-5487

Mendelson, Shahar; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ward, Rachel (2018): Improved bounds for sparse recovery from subsampled random convolutions. In: Annals of Applied Probability, Bd. 28, Nr. 6

2017

Dorsch, Dominik und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2017): Refined Analysis of Sparse MIMO Radar. In: Journal of Fourier Analysis and Applications, Bd. 23, Nr. 3: S. 485-529

Kueng, Richard; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Terstiege, Ulrich (2017): Low rank matrix recovery from rank one measurements. In: Applied and Computational Harmonic Analysis, Bd. 42, Nr. 1: S. 88-116

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Schneider, Reinhold und Stojanac, Željka (15. Juni 2017): Low rank tensor recovery via iterative hard thresholding. In: Linear Algebra and its Applications, Bd. 523: S. 220-262

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Schneider, Reinhold und Stojanac, Željka (2017): Low rank tensor recovery via iterative hard thresholding. In: Linear Algebra and its Applications, Bd. 523: S. 220-262

2016

Ayaz, Ulaş; Dirksen, Sjoerd und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2016): Uniform recovery of fusion frame structured sparse signals. In: Applied and Computational Harmonic Analysis, Bd. 41, Nr. 2: S. 341-361

Fornasier, Massimo; Peter, Steffen; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Worm, Stephan (18. März 2016): Conjugate gradient acceleration of iteratively re-weighted least squares methods. In: Computational Optimization and Applications, Bd. 65, Nr. 1: S. 205-259

Kabanava, Maryia; Kueng, Richard; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Terstiege, Ulrich (2016): Stable low-rank matrix recovery via null space properties. In: Information and Inference, Bd. 5, Nr. 4: S. 405-441

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Schwab, Christoph (2016): Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. In: Mathematics of Computation, Bd. 86, Nr. 304: S. 661-700

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ward, Rachel (2016): Interpolation via weighted ℓ1 minimization. In: Applied and Computational Harmonic Analysis, Bd. 40, Nr. 2: S. 321-351

2015

Bouchot, Jean-Luc; Bykowski, Benjamin; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Schwab, Christoph (2015): Compressed sensing Petrov-Galerkin approximations for parametric PDEs. 2015 International Conference on Sampling Theory and Applications (SampTA), Washington, DC, 25-29 May 2015. In: 2015 International Conference on Sampling Theory and Applications (SampTA), IEEE. S. 528-532

Dorsch, Dominik und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2015): Analysis of sparse recovery in MIMO radar. International Conference on Sampling Theory and Applications (SampTA), Washington, DC, 25-29 May 2015. In: 2015 International Conference on Sampling Theory and Applications (SampTA), IEEE. S. 30-33

Dorsch, Dominik und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2015): Sparse recovery in MIMO radar - dependence on the support structure. CoSeRa 2015 : 3rd International Workshop on Compressed Sensing Theory and its Applications to Radar, Sonar and Remote Sensing, Pisa, 17-19 June 2015. In: 2015 3rd International Workshop on Compressed Sensing Theory and its Applications to Radar, Sonar and Remote Sensing (CoSeRa), IEEE. S. 56-60

Kabanava, Maryia und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2015): Analysis ℓ 1-recovery with Frames and Gaussian Measurements. In: Acta Applicandae Mathematicae, Bd. 140: S. 173-195

Kabanava, Maryia und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2015): Cosparsity in Compressed Sensing. In: Compressed Sensing and its Applications. Springer - Birkhäuser. S. 315-339

Kabanava, Maryia; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Terstiege, Ulrich (2015): Analysis of low rank matrix recovery via Mendelson's small ball method. International Conference on Sampling Theory and Applications (SampTA), Washington, DC, 25-29 May 2015. In: 2015 International Conference on Sampling Theory and Applications (SampTA), IEEE. S. 387-391

Kabanava, Maryia; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Terstiege, Ulrich (2015): On the minimal number of measurements in low-rank matrix recovery. 2015 International Conference on Sampling Theory and Applications (SampTA), Washington, DC, 25-29 May 2015. In: 2015 International Conference on Sampling Theory and Applications (SampTA), IEEE. S. 382-386

Kabavana, M.; Rauhut, H. ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Zhang, H. (2015): Robust analysis ℓ1-recovery from Gaussian measurements and total variation minimization. In: European Journal of Applied Mathematics, Bd. 26, Nr. 6: S. 917-929

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Schneider, Reinhold und Stojanac, Željka (2015): Tensor Completion in Hierarchical Tensor Representations. In: Boche, Holger; Calderbank, Robert; Kutniok, Gitta und Vybíral, Jan (Hrsg.): Compressed Sensing and its Applications. 1. Auflage. Springer. S. 419-450

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Stojanac, Zeljka (2015): Recovery of third order tensors via convex optimization. International Conference on Sampling Theory and Applications (SampTA), Washington, DC, 25-29 May 2015. In: 2015 International Conference on Sampling Theory and Applications (SampTA), IEEE. S. 397-401

2014

Ailon, Nir und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (4. September 2014): Fast and RIP-Optimal Transforms. In: Discrete & Computational Geometry, Bd. 52, Nr. 4: S. 780-798

Hügel, Max; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Strohmer, Thomas (2014): Remote Sensing via ℓ 1-Minimization. In: Foundations of Computational Mathematics, Bd. 14: S. 115-150

Krahmer, Felix; Mendelson, Shahar und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (21. September 2014): Suprema of Chaos Processes and the Restricted Isometry Property. In: Communications on Pure and Applied Mathematics, Bd. 67, Nr. 11: S. 1877-1904

2013

Foucart, Simon und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2013): A Mathematical Introduction to Compressive Sensing. New York: Birkhäuser.

Pfander, Götz E.; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Tropp, Joel A. (2013): The restricted isometry property for time–frequency structured random matrices. In: Probability Theory and Related Fields, Bd. 156, Nr. 3-4: S. 707-737

Rapoport, Michael; Terstiege, Ulrich und Wilson, Sean (11. Dezember 2013): The supersingular locus of the Shimura variety for GU(1, n-1) over a ramified prime. In: Mathematische Zeitschrift, Bd. 276: S. 1165-1188

Rapoport, Michael; Terstiege, Ulrich und Zhang, Wei (4. Juli 2013): On the arithmetic fundamental lemma in the minuscule case. In: Compositio Mathematica, Bd. 149, Nr. 10: S. 1631-1666

Terstiege, Ulrich (1. November 2013): Intersections of special cycles on the Shimura variety for. In: Journal für die reine und angewandte Mathematik (Crelles Journal), Bd. 2013, Nr. 684: S. 113-164

Terstiege, Ulrich (2013): On the regularity of special difference divisors. In: Comptes Rendus. Mathématique, Bd. 351, Nr. 3-4: S. 107-109

2012

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Romberg, Justin und Tropp, Joel A. (2012): Restricted isometries for partial random circulant matrices. In: Applied and Computational Harmonic Analysis, Bd. 32, Nr. 2: S. 242-254

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ward, Rachel (Mai 2012): Sparse Legendre expansions via ℓ1-minimization. In: Journal of Approximation Theory, Bd. 164, Nr. 5: S. 517-533

2011

Boufounos, Petros; Kutyniok, Gitta ORCID logoORCID: https://orcid.org/0000-0001-9738-2487 und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2011): Sparse Recovery From Combined Fusion Frame Measurements. In: IEEE Transactions on Information Theory, Bd. 57, Nr. 6: S. 3864-3876

Fornasier, Massimo; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ward, Rachel (2011): Low-rank Matrix Recovery via Iteratively Reweighted Least Squares Minimization. In: SIAM Journal on Optimization, Bd. 21, Nr. 4: S. 1614-1640

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ullrich, Tino (Juni 2011): Generalized coorbit space theory and inhomogeneous function spaces of Besov–Lizorkin–Triebel type. In: Journal of Functional Analysis, Bd. 260, Nr. 11: S. 3299-3362

Terstiege, Ulrich (2011): Intersections of arithmetic Hirzebruch–Zagier cycles. In: Mathematische Annalen, Bd. 349: S. 161-213

2010

Boufounos, Petros; Kutyniok, Gitta und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2010): Average case analysis of sparse recovery from combined fusion frame measurements. Annual Conference on Information Sciences and Systems (CISS), Princeton, NJ, USA, 17-19 March 2010. In: 2010 44th Annual Conference on Information Sciences and Systems (CISS), IEEE. S. 1-6

Eiwen, Daniel; Taubock, Georg; Hlawatsch, Franz; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Czink, Nicolai (2010): Multichannel-compressive estimation of doubly selective channels in MIMO-OFDM systems. Exploiting and enhancing joint sparsity. International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Dallas, TX, USA, 14-19 March 2010. In: 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE. S. 3082-3085

Eldar, Yonina C. und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2010): Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation. In: IEEE Transactions on Information Theory, Bd. 56, Nr. 1: S. 505-519

Foucart, Simon; Pajor, Alain; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ullrich, Tino (2010): The Gelfand widths ofℓp-balls for0<p≤1. In: Journal of Complexity, Bd. 26, Nr. 6: S. 629-640

Pfander, Götz E. und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2010): Sparsity in Time-Frequency Representations. In: Journal of Fourier Analysis and Applications, Bd. 16, Nr. 2: S. 233-260

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2010): Compressive Sensing and Structured Random Matrices. In: Fornasier, Massimo (Hrsg.): Theoretical Foundations and Numerical Methods for Sparse Recovery. Radon Series on Computational and Applied Mathematics, Bd. 9. Berlin ; New York, NY: De Gruyter. S. 1-92

Taubock, G.; Hlawatsch, F.; Eiwen, D. und Rauhut, H. ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2010): Compressive Estimation of Doubly Selective Channels in Multicarrier Systems. Leakage Effects and Sparsity-Enhancing Processing. In: IEEE Journal of Selected Topics in Signal Processing, Bd. 4, Nr. 2: S. 255-271

2008

Fornasier, Massimo und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2008): Iterative thresholding algorithms. In: Applied and Computational Harmonic Analysis, Bd. 25, Nr. 2: S. 187-208

Fornasier, Massimo und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2008): Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints. In: SIAM Journal on Numerical Analysis, Bd. 46, Nr. 2: S. 577-613

Gribonval, Rémi; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Schnass, Karin und Vandergheynst, Pierre (2008): Atoms of All Channels, Unite! Average Case Analysis of Multi-Channel Sparse Recovery Using Greedy Algorithms. In: Journal of Fourier Analysis and Applications, Bd. 14: S. 655-687

Kunis, Stefan und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2008): Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit. In: Foundations of Computational Mathematics, Bd. 8, Nr. 6: S. 737-763

Pfander, G. E.; Rauhut, H. ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Tanner, J. (2008): Identification of Matrices Having a Sparse Representation. In: IEEE Transactions on Signal Processing, Bd. 56, Nr. 11: S. 5376-5388

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2008): On the Impossibility of Uniform Sparse Reconstruction using Greedy Methods. In: Sampling Theory in Signal and Image Processing, Bd. 7, Nr. 2: S. 197-215

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2008): Stability Results for Random Sampling of Sparse Trigonometric Polynomials. In: IEEE Transactions on Information Theory, Bd. 54, Nr. 12: S. 5661-5670

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Schnass, Karin und Vandergheynst, Pierre (2008): Compressed Sensing and Redundant Dictionaries. In: IEEE Transactions on Information Theory, Bd. 54, Nr. 5: S. 2210-2219

Terstiege, Ulrich (Februar 2008): Antispecial cycles on the Drinfeld upper half plane and degenerate Hirzebruch–Zagier cycles. In: manuscripta mathematica, Bd. 125: S. 191-223

2007

Dahlke, Stephan; Fornasier, Massimo; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Steidl, Gabriele und Teschke, Gerd (2007): Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces. In: Proceedings of the London Mathematical Society, Bd. 96, Nr. 2: S. 464-506

Gribonval, Remi; Mailhe, Boris; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Schnass, Karin und Vandergheynst, Pierre (2007): Average Case Analysis of Multichannel Thresholding. 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07, Honolulu, HI, USA, 15-20 April 2007. In: 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07, IEEE. II-853-II-856

Lasser, Rupert; Obermaier, Josef und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2007): Generalized hypergroups and orthogonal polynomials. In: Journal of the Australian Mathematical Society, Bd. 82, Nr. 3: S. 369-394

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2007): Random sampling of sparse trigonometric polynomials. In: Applied and Computational Harmonic Analysis, Bd. 22, Nr. 1: S. 16-42

2005

Fornasier, Massimo und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2005): Continuous Frames, Function Spaces, and the Discretization Problem. In: Journal of Fourier Analysis and Applications, Bd. 11, Nr. 3: S. 245-287

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2005): Banach frames in coorbit spaces consisting of elements which are invariant under symmetry groups. In: Applied and Computational Harmonic Analysis, Bd. 18, Nr. 1: S. 94-122

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (1. Februar 2005): Best time localized trigonometric polynomials and wavelets. In: Advances in Computational Mathematics, Bd. 22: S. 1-20

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2005): Wavelet Transforms Associated to Group Representations and Functions Invariant under Symmetry Groups. In: International Journal of Wavelets, Multiresolution and Information Processing, Bd. 03, Nr. 02: S. 167-187

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Rösler, Margit (2005): Radial Multiresolution in Dimension Three. In: Constructive Approximation, Bd. 22, Nr. 2: S. 193-218

2003

Prestin, Jürgen; Quak, Ewald; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Selig, Kathi (2003): On the Connection of Uncertainty Principles for Functions on the Circle and on the Real Line. In: Journal of Fourier Analysis and Applications, Bd. 9, Nr. 4: S. 387-409

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