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math.DS2026
Optimal response for stochastic differential equations in with perturbations on the drift term
Gianmarco Del Sarto, Franco Flandoli, Stefano Galatolo +2
We study stochastic differential equations on the -dimensional flat torus with drift and perturbation coefficients in and…
math.DS2025
Divergence-kernel method for linear responses of densities and generative models
Angxiu Ni
We derive the divergence-kernel formula for the linear response of random dynamical systems. Specifically, the pathwise expression is for the parameter-derivative of the marginal o…
math.DS2025★ 1 cited
Optimal Response for Hyperbolic Systems by the fast adjoint response method
Stefano Galatolo, Angxiu Ni
In a uniformly hyperbolic system, we consider the problem of finding the optimal infinitesimal perturbation to apply to the system, from a certain set of feasible ones, to maxi…