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Titlebook: Automatic Differentiation: Applications, Theory, and Implementations; Martin Bücker,George Corliss,Boyana Norris Conference proceedings 20

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Reduction of Storage Requirement by Checkpointing for Time-Dependent Optimal Control Problems in ODWe consider a time-dependent optimal control problem, where the state evolution is described by an ODE. There is a variety of methods for the treatment of such problems. We prefer to view them as boundary value problems and apply to them the Riccati approach for non-linear BVPs with separated boundary conditions.
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Emily Mendenhall,Andrew Wooyoung Kim in many fields. This paper reviews several strands of history, advanced capabilities and types of application – particularly those which are crucial to the development of brain-like capabilities in intelligent control and artificial intelligence.
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Rosana Blanco-Cano,Rita E. Urquijo-Ruizin terms of automatic differentiation, where a succinct program with a C++ template for the higher order derivatives is described. A special set of . is introduced, and it is shown that the permanent can be computed efficiently as a variation of implementation of higher order automatic differentiati
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Joy Kemp,Gaynor D. Maclean,Nester Moyoint operations (flops) for vertex elimination Jacobian code. We also used the depth-first traversal algorithm to reorder the statements of the Jacobian code with the aim of reducing the number of memory accesses. In this work, we study the effects of reducing flops or memory accesses within the vert
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Strengthening Midwifery Research, edge, or face elimination can produce highly efficient Jacobian preaccumulation code but requires the code section’s computational graph to be known. Such graphs can easily be derived for straight-line codes with scalar variables. Practical codes in languages such as Fortran, C, and C++ with array
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