Automatic Differentiation: a look through Tensor and Operational   Calculus
  In this paper we take a look at Automatic Differentiation through the eyes of Tensor and Operational Calculus. This work is best consumed as supplementary material for learning tensor and operational calculus by those already familiar with automatic differentiation. To that purpose, we provide a simple implementation of automatic differentiation, where the steps taken are explained in the language tensor and operational calculus. 
\v{Z}iga Sajovic
cs.SC math.FA