English

Differential Invariants

Numerical Analysis 2021-01-12 v1 Numerical Analysis

Abstract

Validation is a major challenge in differentiable programming. The state of the art is based on algorithmic differentiation. Consistency of first-order tangent and adjoint programs is defined by a well-known first-order differential invariant. This paper generalizes the approach through derivation of corresponding differential invariants of arbitrary order.

Keywords

Cite

@article{arxiv.2101.03334,
  title  = {Differential Invariants},
  author = {Uwe Naumann},
  journal= {arXiv preprint arXiv:2101.03334},
  year   = {2021}
}
R2 v1 2026-06-23T21:56:45.679Z