Randomized trial demonstrates convergence of estimators in parabolic problems, suggesting effective nonlinear approaches.
We study minimax estimation of functionals of solutions to parabolic problems under nonlinear observations with rapidly oscillating coefficients. An averaging approach is developed, the existence of a minimax estimator is proved, and the convergence of the estimation error to that of the averaged problem is established.
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Stanzhytskyi et al. (2026) studied this question.
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