# An Efficient Reversible Algorithm for Linear Regression

arXiv: https://arxiv.org/abs/2110.14717 · HTML: https://mlsanity.com/paper/2110.14717/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Oct 2021.

## Built on by (most cited first, 1 of 1)

- [The Thermodynamic Costs of Simple Linear Regression](https://mlsanity.com/paper/2605.19195/) (2026)

## Abstract (arXiv)

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.