A persistent adjoint method with dynamic time-scaling and an application to mass action kinetics

نویسندگان

چکیده

In this article, we consider an optimization problem where the objective function is evaluated at fixed-point of a contraction mapping parameterized by control variable, and takes place over variable. Since derivative with respect to parameter can usually not be exactly, adjoint dynamical system used estimate gradients. Using estimation procedure, algorithm alternates between approximate gradient descent step. We analyze variant approach involving dynamic time-scaling, after each update iterated until convergence threshold passed. prove that, under certain conditions, find stationary points function. demonstrate in settings inverse chemical kinetics, learning attractor networks.

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ژورنال

عنوان ژورنال: Numerical Algorithms

سال: 2021

ISSN: ['1017-1398', '1572-9265']

DOI: https://doi.org/10.1007/s11075-021-01107-8