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Rules Preface Prologue Mathematical Symbols 1. Introduction 2. A Framework for Evaluating Functions 3. Fundamentals of Forward and Reverse 4. Memory Issues and Complexity Bounds 5. Repeating and Extending Reverse 6. Implementation and Software 7. Sparse Forward and Reverse 8. Exploiting Sparsity by Compression 9. Going beyond Forward and Reverse 10. Jacobian and Hessian Accumulation 11. Observations on Efficiency 12. Reversal Schedules and Checkpointing 13. Taylor and Tensor Coefficients 14. Differentiation without Differentiability 15. Implicit and Iterative Differentiation Epilogue List of Figures List of Tables Assumptions and Definitions Propositions, Corollaries, and Lemmas Bibliography Index
Library of Congress Subject Headings for this publication:
Differential calculus -- Data processing.