We study the solution of a time-varying optimization problem which is observed, i.e., it is known, only intermittently. We propose three approaches based on the prediction-correction scheme for solving this problem by exploiting splitting methods. We present convergence results in mean to a bounded asymptotical error, and showcase them in a numerical example featuring a regression problem.
Prediction-correction splittings for time-varying optimization with intermittent observations
Bastianello Nicola;Carli Ruggero
2020
Abstract
We study the solution of a time-varying optimization problem which is observed, i.e., it is known, only intermittently. We propose three approaches based on the prediction-correction scheme for solving this problem by exploiting splitting methods. We present convergence results in mean to a bounded asymptotical error, and showcase them in a numerical example featuring a regression problem.
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