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The Cartographer
Efficient Tensor Decomposition
July 30, 2020 Β· Declared Dead Β· π arXiv.org
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Authors
Aravindan Vijayaraghavan
arXiv ID
2007.15589
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.LG
Citations
3
Venue
arXiv.org
Last Checked
4 months ago
Abstract
This chapter studies the problem of decomposing a tensor into a sum of constituent rank one tensors. While tensor decompositions are very useful in designing learning algorithms and data analysis, they are NP-hard in the worst-case. We will see how to design efficient algorithms with provable guarantees under mild assumptions, and using beyond worst-case frameworks like smoothed analysis.
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