We present a sufficient and necessary condition for the convergence of stochastic approximation algorithms, which were proposed 50 years ago, have been widely applied to various areas and intensively investigated in theory. In the literature, only various sufficient conditions are known. The obtained condition is simple and has a clear physical meaning
It is shown that the stability of the stochastic approximation algorithm is implied by the asymptoti...
We consider a class of stochastic approximation (SA) algorithms for solving a system of estimating e...
We consider a class of stochastic approximation (SA) algorithms for solving a system of estimating e...
We present a sufficient and necessary condition for the convergence of stochastic approximation algo...
Stochastic approximation algorithms are iterative procedures which are used to approximate a target ...
We propose a new adaptive algorithm with decreasing step-size for stochastic approximations. The use...
AbstractWe propose a new adaptive algorithm with decreasing step-size for stochastic approximations....
AbstractResults on the convergence with probability one of stochastic approximation algorithms of th...
abstract (abridged): many of the present problems in automatic control economic systems and living o...
: A deterministic approach is proposed for proving the convergence of stochastic algorithms of the m...
Under general conditions on the observation processes the almost sure convergence properties of an u...
Stochastic approximation is a common paradigm for many stochastic recursions arising both as algorit...
Stochastic approximation is a common paradigm for many stochastic recursions arising both as algorit...
Stochastic approximation is a common paradigm for many stochastic recursions arising both as algorit...
It is shown that the stability of the stochastic approximation algorithm is implied by the asymptoti...
It is shown that the stability of the stochastic approximation algorithm is implied by the asymptoti...
We consider a class of stochastic approximation (SA) algorithms for solving a system of estimating e...
We consider a class of stochastic approximation (SA) algorithms for solving a system of estimating e...
We present a sufficient and necessary condition for the convergence of stochastic approximation algo...
Stochastic approximation algorithms are iterative procedures which are used to approximate a target ...
We propose a new adaptive algorithm with decreasing step-size for stochastic approximations. The use...
AbstractWe propose a new adaptive algorithm with decreasing step-size for stochastic approximations....
AbstractResults on the convergence with probability one of stochastic approximation algorithms of th...
abstract (abridged): many of the present problems in automatic control economic systems and living o...
: A deterministic approach is proposed for proving the convergence of stochastic algorithms of the m...
Under general conditions on the observation processes the almost sure convergence properties of an u...
Stochastic approximation is a common paradigm for many stochastic recursions arising both as algorit...
Stochastic approximation is a common paradigm for many stochastic recursions arising both as algorit...
Stochastic approximation is a common paradigm for many stochastic recursions arising both as algorit...
It is shown that the stability of the stochastic approximation algorithm is implied by the asymptoti...
It is shown that the stability of the stochastic approximation algorithm is implied by the asymptoti...
We consider a class of stochastic approximation (SA) algorithms for solving a system of estimating e...
We consider a class of stochastic approximation (SA) algorithms for solving a system of estimating e...
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