Implementing Operational calculus on programming spaces for Differentiable computing

12/08/2016

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by   Žiga Sajovic, et al.

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We provide an illustrative implementation of an analytic, infinitely-differentiable virtual machine, implementing infinitely-differentiable programming spaces and operators acting upon them, as constructed in the paper Operational calculus on programming spaces. Implementation closely follows theorems and derivations of the paper, intended as an educational guide for those transitioning from automatic differentiation to this general theory.