Generalized adaptive versus nonadaptive recovery from noisy information

摘要

The article is devoted to a generalized setting of adaptive recovery from noisy information. We extend some known results for this setting and obtain sufficient conditions under which adaption does not help for recovery of linear operators. For recovery of linear functionals we give necessary and sufficient conditions for the existence of an optimal nonadaptive linear method which gives the same error as optimal adaptive methods. (C) 2019 Elsevier Inc. All rights reserved.