Self-Averaging and On-line Learning

Details Self-Averaging and On-line Learning Self-Averaging and On-line Learning

1998-05-26

arxiv.org/abs/cond-mat/9805339v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages

Scientific paper

10.1103/PhysRevLett.80.5445

Conditions are given under which one may prove that the stochastic dynamics of on-line learning can be described by the deterministic evolution of a finite set of order parameters in the thermodynamic limit. A global constraint on the average magnitude of the increments in the stochastic process is necessary to ensure self-averaging. In the absence of such a constraint, convergence may only be in probability.

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