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On the linear independence of spikes and sines
Applied Math| Speaker: | Joel Tropp, Assistant Professor, CalTech |
| Location: | 1147 MSB |
| Start time: | Mon, Nov 26 2007, 3:10PM |
A central question in the theory of sparse approximation is to determine whether a given collection of spikes and sines is linearly independent. This talk surveys what is known about this problem. It provides new results for the case where the locations of the spikes and the frequencies of the sines are chosen at random. This problem is equivalent to studying the spectral norm of a random submatrix drawn from the discrete Fourier transform matrix. The proof involves methods from geometric functional analysis.