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Structural Conditions for Projection-Cost Preservation via Randomized Matrix Multiplication

Machine Learning 2018-08-21 v2 Machine Learning

Abstract

Projection-cost preservation is a low-rank approximation guarantee which ensures that the cost of any rank-kk projection can be preserved using a smaller sketch of the original data matrix. We present a general structural result outlining four sufficient conditions to achieve projection-cost preservation. These conditions can be satisfied using tools from the Randomized Linear Algebra literature.

Cite

@article{arxiv.1705.10102,
  title  = {Structural Conditions for Projection-Cost Preservation via Randomized Matrix Multiplication},
  author = {Agniva Chowdhury and Jiasen Yang and Petros Drineas},
  journal= {arXiv preprint arXiv:1705.10102},
  year   = {2018}
}

Comments

16 pages

R2 v1 2026-06-22T20:01:59.636Z