BibTeX
@ARTICLE{
         Hoffmann2015AHG,
       author = "Hoffmann, Philipp H. W.",
       title = "A Hitchhiker's Guide to Automatic Differentiation",
       journal = "Numerical Algorithms",
       year = "2015",
       pages = "1--37",
       abstract = "This article provides an overview of some of the mathematical principles of
         Automatic Differentiation (AD). In particular, we summarise different descriptions of the Forward
         Mode of AD, like the matrix-vector product based approach, the idea of lifting functions to the
         algebra of dual numbers, the method of Taylor series expansion on dual numbers and the application
         of the push-forward operator, and explain why they all reduce to the same actual chain of
         computations.We further give a short mathematical description of some methods of higher-order
         Forward AD and, at the end of this paper, briefly describe the Reverse Mode of Automatic
         Differentiation.",
       issn = "1572-9265",
       doi = "10.1007/s11075-015-0067-6",
       url = "http://dx.doi.org/10.1007/s11075-015-0067-6",
       ad_theotech = "Introduction"
}