English

An Efficient Reversible Algorithm for Linear Regression

Data Structures and Algorithms 2021-12-01 v2 Emerging Technologies

Abstract

This paper presents an efficient reversible algorithm for linear regression, both with and without ridge regression. Our reversible algorithm matches the asymptotic time and space complexity of standard irreversible algorithms for this problem. Needed for this result is the expansion of the analysis of efficient reversible matrix multiplication to rectangular matrices and matrix inversion.

Keywords

Cite

@article{arxiv.2110.14717,
  title  = {An Efficient Reversible Algorithm for Linear Regression},
  author = {Erik D. Demaine and Jayson Lynch and Jiaying Sun},
  journal= {arXiv preprint arXiv:2110.14717},
  year   = {2021}
}

Comments

6 pages; matrix inversion proof corrected; Erik Demaine added as author