Papers › Automatic Adjoint Differentiation for special functions involving expectations

Automatic Adjoint Differentiation for special functions involving expectations

11 Apr 2022arXiv:2204.05204archive 2025-07-28

José Brito, Andrei Goloubentsev, Evgeny Goncharov

We explain how to compute gradients of functions of the form G = 1/2 ∑ᵢ₌₁ᵐ (E yᵢ - Cᵢ)², which often appear in the calibration of stochastic models, using Automatic Adjoint Differentiation and parallelization. We expand on the work of arXiv:1901.04200 and give faster and easier to implement approaches. We also provide an implementation of our methods and apply the technique to calibrate European options.

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