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math.DS2021
Fast adjoint differentiation of chaos via computing unstable perturbations of transfer operators
Angxiu Ni
We devise the fast adjoint response algorithm for the gradient of physical measures (long-time-average statistics) of discrete-time hyperbolic chaos with respect to many system par…
math.NA2021★ 9 cited
Recursive divergence formulas for perturbing unstable transfer operators and physical measures
Angxiu Ni, Yao Tong
We show that the derivative of the (measure) transfer operator with respect to the parameter of the map is a divergence. Then, for physical measures of discrete-time hyperbolic cha…