Differential Invariants

arXiv (Cornell University)

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.

Authors 1

1. Uwe Naumann corresponding Aachen

   RWTH Aachen University

   Affiliation as printed

   Informatik 12: Software and Tools for Computational Engineering , RWTH Aachen University , Germany