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Number of items at this level: 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. July 2024): Convergence of gradient descent for learning linear neural networks. In: Advances in Continuous and Discrete Models, Vol. 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. pp. 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, Vol. 24, No. 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, Vol. 4, No. 2: pp. 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, Vol. 11, No. 1: pp. 307-353

Brugiapaglia, Simone; Dirksen, Sjoerd; Jung, Hans Christian und Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (July 2021): Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. In: Applied and Computational Harmonic Analysis, Vol. 53: pp. 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, Vol. 88: pp. 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, Vol. 18, No. 01: pp. 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, Vol. 9, No. 3: pp. 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, Vol. 25, No. 2: pp. 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, Vol. 64, No. 8: pp. 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, Vol. 28, No. 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, Vol. 23, No. 3: pp. 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, Vol. 42, No. 1: pp. 88-116

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092; Schneider, Reinhold und Stojanac, Željka (15. June 2017): Low rank tensor recovery via iterative hard thresholding. In: Linear Algebra and its Applications, Vol. 523: pp. 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, Vol. 523: pp. 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, Vol. 41, No. 2: pp. 341-361

Fornasier, Massimo; Peter, Steffen; Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Worm, Stephan (18. March 2016): Conjugate gradient acceleration of iteratively re-weighted least squares methods. In: Computational Optimization and Applications, Vol. 65, No. 1: pp. 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, Vol. 5, No. 4: pp. 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, Vol. 86, No. 304: pp. 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, Vol. 40, No. 2: pp. 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. pp. 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. pp. 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. pp. 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, Vol. 140: pp. 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. pp. 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. pp. 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. pp. 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, Vol. 26, No. 6: pp. 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 (eds.) : Compressed Sensing and its Applications. 1. Auflage. Springer. pp. 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. pp. 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, Vol. 52, No. 4: pp. 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, Vol. 14: pp. 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, Vol. 67, No. 11: pp. 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, Vol. 156, No. 3-4: pp. 707-737

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

Rapoport, Michael; Terstiege, Ulrich und Zhang, Wei (4. July 2013): On the arithmetic fundamental lemma in the minuscule case. In: Compositio Mathematica, Vol. 149, No. 10: pp. 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), Vol. 2013, No. 684: pp. 113-164

Terstiege, Ulrich (2013): On the regularity of special difference divisors. In: Comptes Rendus. Mathématique, Vol. 351, No. 3-4: pp. 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, Vol. 32, No. 2: pp. 242-254

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ward, Rachel (May 2012): Sparse Legendre expansions via ℓ1-minimization. In: Journal of Approximation Theory, Vol. 164, No. 5: pp. 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, Vol. 57, No. 6: pp. 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, Vol. 21, No. 4: pp. 1614-1640

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 und Ullrich, Tino (June 2011): Generalized coorbit space theory and inhomogeneous function spaces of Besov–Lizorkin–Triebel type. In: Journal of Functional Analysis, Vol. 260, No. 11: pp. 3299-3362

Terstiege, Ulrich (2011): Intersections of arithmetic Hirzebruch–Zagier cycles. In: Mathematische Annalen, Vol. 349: pp. 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. pp. 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. pp. 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, Vol. 56, No. 1: pp. 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, Vol. 26, No. 6: pp. 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, Vol. 16, No. 2: pp. 233-260

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (2010): Compressive Sensing and Structured Random Matrices. In: Fornasier, Massimo (ed.) : Theoretical Foundations and Numerical Methods for Sparse Recovery. Radon Series on Computational and Applied Mathematics, Vol. 9. Berlin ; New York, NY: De Gruyter. pp. 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, Vol. 4, No. 2: pp. 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, Vol. 25, No. 2: pp. 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, Vol. 46, No. 2: pp. 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, Vol. 14: pp. 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, Vol. 8, No. 6: pp. 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, Vol. 56, No. 11: pp. 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, Vol. 7, No. 2: pp. 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, Vol. 54, No. 12: pp. 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, Vol. 54, No. 5: pp. 2210-2219

Terstiege, Ulrich (February 2008): Antispecial cycles on the Drinfeld upper half plane and degenerate Hirzebruch–Zagier cycles. In: manuscripta mathematica, Vol. 125: pp. 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, Vol. 96, No. 2: pp. 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, Vol. 82, No. 3: pp. 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, Vol. 22, No. 1: pp. 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, Vol. 11, No. 3: pp. 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, Vol. 18, No. 1: pp. 94-122

Rauhut, Holger ORCID logoORCID: https://orcid.org/0000-0003-4750-5092 (1. February 2005): Best time localized trigonometric polynomials and wavelets. In: Advances in Computational Mathematics, Vol. 22: pp. 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, Vol. 03, No. 02: pp. 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, Vol. 22, No. 2: pp. 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, Vol. 9, No. 4: pp. 387-409

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