Search Results - "Rauhut, Holger"

Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations by RAUHUT, HOLGER, SCHWAB, CHRISTOPH

“…We analyze the convergence of compressive sensing based sampling techniques for the efficient evaluation of functionals of solutions for a class of…”
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On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions by Dirksen, Sjoerd, Lecue, Guillaume, Rauhut, Holger

“…We consider the problem of recovering sparse vectors from underdetermined linear measurements via <inline-formula> <tex-math notation="LaTeX">\ell _{p}…”
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Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation by Eldar, Y.C., Rauhut, H.

“…This paper considers recovery of jointly sparse multichannel signals from incomplete measurements. Several approaches have been developed to recover the…”
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Restricted isometries for partial random circulant matrices by Rauhut, Holger, Romberg, Justin, Tropp, Joel A.

“…In the theory of compressed sensing, restricted isometry analysis has become a standard tool for studying how efficiently a measurement matrix acquires…”
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Generalized coorbit space theory and inhomogeneous function spaces of Besov–Lizorkin–Triebel type by Rauhut, Holger, Ullrich, Tino

“…Coorbit space theory is an abstract approach to function spaces and their atomic decompositions. The original theory developed by Feichtinger and Gröchenig in…”
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Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit by Kunis, Stefan, Rauhut, Holger

“…We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy…”
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Path classification by stochastic linear recurrent neural networks by Boutaib, Youness, Bartolomaeus, Wiebke, Nestler, Sandra, Rauhut, Holger

“…We investigate the functioning of a classifying biological neural network from the perspective of statistical learning theory, modelled, in a simplified…”
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Prediction of the disease course in Friedreich ataxia by Hohenfeld, Christian, Terstiege, Ulrich, Dogan, Imis, Giunti, Paola, Parkinson, Michael H., Mariotti, Caterina, Nanetti, Lorenzo, Fichera, Mario, Durr, Alexandra, Ewenczyk, Claire, Boesch, Sylvia, Nachbauer, Wolfgang, Klopstock, Thomas, Stendel, Claudia, Rodríguez de Rivera Garrido, Francisco Javier, Schöls, Ludger, Hayer, Stefanie N., Klockgether, Thomas, Giordano, Ilaria, Didszun, Claire, Rai, Myriam, Pandolfo, Massimo, Rauhut, Holger, Schulz, Jörg B., Reetz, Kathrin

“…We explored whether disease severity of Friedreich ataxia can be predicted using data from clinical examinations. From the database of the European Friedreich…”
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Structured random measurements in signal processing by Krahmer, Felix, Rauhut, Holger

“…Compressed sensing and its extensions have recently triggered interest in randomized signal acquisition. A key finding is that random measurements provide…”
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The restricted isometry property for time–frequency structured random matrices by Pfander, Götz E., Rauhut, Holger, Tropp, Joel A.

“…This paper establishes the restricted isometry property for a Gabor system generated by n 2 time–frequency shifts of a random window function in n dimensions…”
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Sparse Legendre expansions via ℓ 1 -minimization by Rauhut, Holger, Ward, Rachel

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Low rank matrix recovery from rank one measurements by Kueng, Richard, Rauhut, Holger, Terstiege, Ulrich

“…We study the recovery of Hermitian low rank matrices X∈Cn×n from undersampled measurements via nuclear norm minimization. We consider the particular scenario…”
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Suprema of Chaos Processes and the Restricted Isometry Property by Krahmer, Felix, Mendelson, Shahar, Rauhut, Holger

“…We present a new bound for suprema of a special type of chaos process indexed by a set of matrices, which is based on a chaining method. As applications we…”
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Random sampling of sparse trigonometric polynomials by Rauhut, Holger

“…We study the problem of reconstructing a multivariate trigonometric polynomial having only few non-zero coefficients from few random samples. Inspired by…”
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Iterative thresholding algorithms by Fornasier, Massimo, Rauhut, Holger

“…This article provides a variational formulation for hard and firm thresholding. A related functional can be used to regularize inverse problems by sparsity…”
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Low rank tensor recovery via iterative hard thresholding by Rauhut, Holger, Schneider, Reinhold, Stojanac, Željka

“…We study extensions of compressive sensing and low rank matrix recovery (matrix completion) to the recovery of low rank tensors of higher order from a small…”
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Covariance estimation under one-bit quantization by Dirksen, Sjoerd, Maly, Johannes, Rauhut, Holger

“…We consider the classical problem of estimating the covariance matrix of a sub-Gaussian distribution from i.i.d. samples in the novel context of coarse…”
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Analysis ℓ 1-recovery with Frames and Gaussian Measurements by Kabanava, Maryia, Rauhut, Holger

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Low-Rank Matrix Recovery via Rank One Tight Frame Measurements by Rauhut, Holger, Terstiege, Ulrich

“…The task of reconstructing a low rank matrix from incomplete linear measurements arises in areas such as machine learning, quantum state tomography and in the…”
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Refined Analysis of Sparse MIMO Radar by Dorsch, Dominik, Rauhut, Holger

“…We analyze a multiple-input multiple-output (MIMO) radar model and provide recovery results for a compressed sensing (CS) approach. In MIMO radar different…”
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