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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