機率研討會
主講者: | Professor Alexander Powell( Vanderbilt University) |
講題: | Compressed sensing and Sobolev duals of Gaussian random matrices |
時間: | 2012-06-25 (Mon.) 14:10 - |
地點: | 數學所 722 研討室 (台大院區) |
Abstract: | Compressed sensing addresses the problem of representing sparse signals in high dimensions using a small number of linear measurements. We shall consider the problem of quantization (analog-to-digital conversion) for compressed sensing measurements. We show that the class of sigma-delta algorithms performs well in this setting and we prove error bounds to quantify the improvement over standard methods. Our approach crucially makes use of special non-canonical dual frames, known as Sobolev duals, associated to Gaussian random matrices. |
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