Titlebook: Stochastic Approximation; A Dynamical Systems Vivek S. Borkar Book 2008 Hindustan Book Agency (India) 2008

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先驱

A Limit Theorem for Fluctuations,∞. Let..The strong law of large numbers (see, e.g., Section 4.2 of Borkar, 1995) states that..To cast this as a ‘stochastic approximation’ result, note that some simple algebraic manipulation leads to.for..In particular, {.(.)} and {.} are easily seen to satisfy the conditions stipulated for the ste

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类似思想

TERRA

Appendices,pact (resp. relatively sequentially compact) if its closure is compact (resp. sequentially compact). Also, compactness and sequential compactness are equivalent notions for metric spaces. The first theorem concerns the relative compactness in the space .([0, .];.) of continuous functions [0, .] → .

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Constant Stepsize Algorithms,o is when the algorithm is expected to operate in a slowly varying environment (e.g., in tracking applications) where it is important that the timescale of the algorithm remain reasonably faster than the timescale on which the environment is changing, for otherwise it would never adapt.

合法

Appendices,equivalent notions for metric spaces. The first theorem concerns the relative compactness in the space .([0, .];.) of continuous functions [0, .] → . for a prescribed prescribed . > 0. .([0, .];.) is a Banach space under the ‘sup-norm’ .. That is,

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