Averaging Methods for the Asymptotic Analysis of Learning and Adaptive Systems, with Small Adjustment Rate

DOI10.1137/0319040zbMath0498.93053OpenAlexW1966308386MaRDI QIDQ3964423

Hai Huang, Harold J. Kushner

Publication date: 1981

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0319040

zbMATH Keywords

averaging methodslearning and adaptive systemsadaptive quantizerautomata modelsmall learning rates

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Formal languages and automata (68Q45) Queues and service in operations research (90B22) Stochastic approximation (62L20) Diffusion processes (60J60) Stochastic systems in control theory (general) (93E03) Communication theory (94A05)

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Stochastic approximation with discontinuous dynamics and state dependent noise: w.p. 1 and weak convergence ⋮ Asymptotic behaviour of a learning algorithm ⋮ Discrete-time singularly perturbed Markov chains: aggregation, occupation measures, and switching diffusion limit ⋮ Asymptotic distributions of solutions of ordinary differential equations with wide band noise inputs: approximate invariant measures ⋮ Asymptotic distributions of solutions of ordinary differential equations with wide band noise inputs: approximate invariant measures ⋮ Non-asymptotic error bounds for constant stepsize stochastic approximation for tracking mobile agents ⋮ Asymptotic behavior of a hierarchical system of learning automata

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