English

Automatic Differentiation: Theory and Practice

Machine Learning 2022-07-14 v1 Artificial Intelligence Optimization and Control

Abstract

We present the classical coordinate-free formalism for forward and backward mode ad in the real and complex setting. We show how to formally derive the forward and backward formulae for a number of matrix functions starting from basic principles.

Keywords

Cite

@article{arxiv.2207.06114,
  title  = {Automatic Differentiation: Theory and Practice},
  author = {Mario Lezcano-Casado},
  journal= {arXiv preprint arXiv:2207.06114},
  year   = {2022}
}
R2 v1 2026-06-25T00:52:38.982Z