Browsing by Subject "Sparse representations"
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Item Dictionary learning and sparse coding for unsupervised clustering(University of Minnesota. Institute for Mathematics and Its Applications, 2009-09) Sprechmann, Pablo; Sapiro, GuillermoItem Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization(University of Minnesota. Institute for Mathematics and Its Applications, 2008-05) Duarte-Carvajalino, Julio M.; Sapiro, GuillermoItem Semi-blind source separation via sparse representations and online dictionary learning(2012-12) Rambhatla, SirishaThis work examines a semi-blind source separation problem having applications in audio, image, and video processing. The essential aim is to separate one source whose local structure is partially or approximately known from another a priori unspecified but structured source, given only a single linear combination of the two sources. We propose a novel separation technique based on local sparse approximations. A key feature of our procedure is the online learning of dictionaries (using only the data itself) to sparsely model the unknown structured background source. The performance of the proposed approach is demonstrated via simulation in a stylized application of audio source separation.Item Sparse representations for limited data tomography(University of Minnesota. Institute for Mathematics and Its Applications, 2007-11) Liao, Hstau Y.; Sapiro, Guillermo