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- W4287824977 abstract "We consider sketched approximate matrix multiplication and ridge regression in the novel setting of localized sketching, where at any given point, only part of the data matrix is available. This corresponds to a block diagonal structure on the sketching matrix. We show that, under mild conditions, block diagonal sketching matrices require only O(stable rank / epsilon^2) and $O( stat. dim. epsilon)$ total sample complexity for matrix multiplication and ridge regression, respectively. This matches the state-of-the-art bounds that are obtained using global sketching matrices. The localized nature of sketching considered allows for different parts of the data matrix to be sketched independently and hence is more amenable to computation in distributed and streaming settings and results in a smaller memory and computational footprint." @default.
- W4287824977 created "2022-07-26" @default.
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- W4287824977 date "2020-03-20" @default.
- W4287824977 modified "2023-09-26" @default.
- W4287824977 title "Localized sketching for matrix multiplication and ridge regression" @default.
- W4287824977 doi "https://doi.org/10.48550/arxiv.2003.09097" @default.
- W4287824977 hasPublicationYear "2020" @default.
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