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Publications
 
 
 
Preprints
 
Sequential learning of analysis operators (with M. Sandbichler), arXiv:1704.00227, 2017. [pdf] [toolbox]
 
Dictionary learning from incomplete data (with V. Naumova), arXiv:1701.03655, 2017. [pdf] [toolbox]
 
Convergence radius and sample complexity of ITKM algorithms for dictionary learning, accepted to Applied and Computational Harmonic Analysis, 2016. [pdf] [toolbox]
 
 
Journal
 
Local Identification of Overcomplete Dictionaries, Journal of Machine Learning Research (arXiv:1401.6354), 16(Jun):1211--1242, 2015. [pdf] [toolbox]
 
On the Identifiability of Overcomplete Dictionaries via the Minimisation Principle Underlying K-SVD, Applied and Computational Harmonic Analysis, 37(3):464--491, 2014. [official, unofficial or arXiv version]
 
Learning functions of few arbitrary linear parameters in high dimensions (with M. Fornasier and J. Vybiral), Foundations of Computational Mathematics, 12(2):229--262, 2012. [pdf]
 
Classification via incoherent subspaces (with P. Vandergheynst), Rejecta Mathematica, 2(1):1--18, 2011. [pdf]
 
Dictionary identification - sparse matrix-factorisation via l_1-minimisation (with R. Gribonval), IEEE Transactions on Information Theory, 56(7):3523--3539, 2010. [pdf]
 
Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms (with R. Gribonval, H. Rauhut and P. Vandergheynst), Journal of Fourier Analysis and Applications, 14(5):655--687, 2008. [pdf]
 
Compressed sensing and redundant dictionaries (with H. Rauhut and P. Vandergheynst), IEEE Transactions on Information Theory, 54(5):2210--2219, 2008. [pdf]
 
Dictionary preconditioning for greedy algorithms (with P. Vandergheynst), IEEE Transactions on Signal Processing, 56(5):1994--2002, 2008. [pdf]
 
Average performance analysis for thresholding (with P. Vandergheynst), IEEE Signal Processing Letters, 14(11):828--831, 2007. [pdf]
 
 
Conference
 
Dictionary Learning from Incomplete Data for Efficient Image Restoration, EUSIPCO17. [pdf] [toolbox]
 
Dictionary Identification Results for K-SVD with Sparsity Parameter 1, SampTA13. [pdf]
 
Learning functions of few arbitrary linear parameters in high dimensions (with M. Fornasier and J. Vybiral), SampTA11. [pdf]
 
Compressed learning of high-dimensional sparse functions (with J. Vybiral), ICASSP11. [pdf]
 
A union of incoherent spaces model for classification (with P. Vandergheynst), ICASSP10. [pdf]
 
Basis identification from random sparse samples (with R. Gribonval), SPARS09. [pdf]
 
Dictionary identifiability from few training samples (with R. Gribonval), EUSIPCO08. [pdf]
 
Some recovery conditions for basis learning by l_1-minimization (with R. Gribonval), ISCCSP08. [pdf]
 
Dictionary learning based dimensionality reduction for classification (with P. Vandergheynst), ISCCSP08. [pdf]
 
Multichannel thresholding with sensing dictionaries (with R. Gribonval, B. Mailhe, H. Rauhut and P. Vandergheynst), CAMSAP07. [pdf]
 
Average case analysis of multichannel sparse approximations using p- thresholding (with R. Gribonval, B. Mailhe, H. Rauhut and P. Vandergheynst), SPIE Optics and Photonics, Wavelets XII, 2007. [pdf]
 
Average case analysis of multichannel thresholding (with R. Gribonval, B. Mailhe, H. Rauhut and P. Vandergheynst), ICASSP07. [pdf]
 
 
Theses
 
Sparsity & Dictionaries - Algorithms & Design, PhD Thesis n.4349, Swiss Federal Institute of Technology Lausanne, EPFL, 2009. [pdf]
 
Gabor Multipliers - A Self-Contained Survey, Master's Thesis, University of Vienna, Austria, 2004. [pdf]
 
 
Other
 
A Personal Introduction to Theoretical Dictionary Learning, Internationale Mathematische Nachrichten (Bulletin of the Austrian Mathematical Society), 228:5--15, 2015. [pdf]
 
 
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