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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3160 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3160 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3160 archive 351 disk0/00/00/31/19 2016-01-15 01:58:46 2021-08-27 17:13:14 2016-01-15 01:58:46 monograph show 2 Arthur W.B. 518 Ermoliev Y.M. 1445 Kaniovski Y.M. AL0815 Nonlinear Adaptive Processes of Growth with General Increments: Attainable and Unattainable Components of Terminal Set pub iis_met prog_ado A local asymptotic theory of adaptive processes of growth with general increments is developed for the case when a terminal set consists of more than one connected component. The notions of an attainable and unattainable component are introduced. Sufficient conditions for attainability and unattainability are derived. The limit theorems are applied in the investigation of the rate of convergence to singleton stable components. The relation between the obtained results and the study of asymptotic properties of stochastic quasi-gradient algorithms in non-convex multiextremum problems is discussed. Specifically, the developed approach is used to explore the limit behavior of iterations in the Fabian modification of the Kiefer-Wolfowitz algorithm. 1988-09 published WP-88-086 WP-88-086 10 1694 338 2009 public working_paper IIASA, Laxenburg, Austria 43 FALSE info:eu-repo/semantics/book