Nearly optimal linear embeddings into very low dimensions

We propose algorithms for constructing linear embeddings of a finite dataset V ⊂ ℝ[superscript d] into a k-dimensional subspace with provable, nearly optimal distortions. First, we propose an exhaustive-search-based algorithm that yields a k-dimensional linear embedding with distortion at most ε[sub...

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Bibliographic Details
Main Authors: Grant, Elyot, Hegde, Chinmay, Indyk, Piotr
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2018
Online Access:http://hdl.handle.net/1721.1/113673
https://orcid.org/0000-0002-7983-9524