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- W4383468729 abstract "We propose an adaptive and provably accurate tensor completion approach based on combining matrix completion techniques (see, e.g., arXiv:0805.4471, arXiv:1407.3619, arXiv:1306.2979) for a small number of slices with a modified noise robust version of Jennrich's algorithm. In the simplest case, this leads to a sampling strategy that more densely samples two outer slices (the bread), and then more sparsely samples additional inner slices (the bbq-braised tofu) for the final completion. Under mild assumptions on the factor matrices, the proposed algorithm completes an $n times n times n$ tensor with CP-rank $r$ with high probability while using at most $mathcal{O}(nrlog^2 r)$ adaptively chosen samples. Empirical experiments further verify that the proposed approach works well in practice, including as a low-rank approximation method in the presence of additive noise." @default.
- W4383468729 created "2023-07-07" @default.
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- W4383468729 date "2023-07-03" @default.
- W4383468729 modified "2023-09-26" @default.
- W4383468729 title "Tensor Sandwich: Tensor Completion for Low CP-Rank Tensors via Adaptive Random Sampling" @default.
- W4383468729 doi "https://doi.org/10.48550/arxiv.2307.01297" @default.
- W4383468729 hasPublicationYear "2023" @default.
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