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| Name | Optimal CUR Matrix Decompositions - David Woodruff |
| Video Uploader | Video From MMDS Foundation |
| Upload Date | This Video Uploaded At 16-10-2014 23:46:45 |
| Video Discription | The CUR decomposition of an m ties n matrix A finds an m × c matrix C with a small subset of c less than n columns of A, together with an r times n matrix R with a small subset of r less than m rows of A, as well as a c times r low rank matrix U such that the matrix CUR approximates the input matrix A, that is denotes the Frobenius norm and Ak is the best m times n matrix of rank k constructed via the SVD of A. We present input-sparsity-time and deterministic algorithms for constructing such a CUR matrix decomposition of A. Up to constant factors, our construction is simultaneously optimal in c, r, and rank. Joint work with Christos Boutsidis. |
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