Efficiency of the Stochastic Approximation Method
M. Japundžić (2012)
The Yugoslav Journal of Operations Research
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M. Japundžić (2012)
The Yugoslav Journal of Operations Research
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El Sayed Sorour (1978)
Kybernetika
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Peggy Cénac (2013)
ESAIM: Probability and Statistics
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We study the almost sure asymptotic behaviour of stochastic approximation algorithms for the search of zero of a real function. The quadratic strong law of large numbers is extended to the powers greater than one. In other words, the convergence of moments in the almost sure central limit theorem (ASCLT) is established. As a by-product of this convergence, one gets another proof of ASCLT for stochastic approximation algorithms. The convergence result is applied to several examples as...
J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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Artstein, Zvi, Wets, Roger J.B. (1995)
Journal of Convex Analysis
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Michał Kisielewicz (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The definition and some existence theorems for stochastic differential inclusions depending only on selections theorems are given.
Fabio Bagarello (2006)
Banach Center Publications
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Sridharan, V., Kalyani, T.V. (2005)
APPS. Applied Sciences
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M. Métivier, J. Pellaumail (1977)
Publications mathématiques et informatique de Rennes
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Michał Kisielewicz (1999)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The definition and some existence theorems for stochastic differential inclusion dZₜ ∈ F(Zₜ)dXₜ, where F and X are set valued stochastic processes, are given.