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Robbins-Monro Conditions

Classical sufficient conditions in stochastic approximation theory that guarantee the convergence of iterative procedures. They require the step-size sequence to satisfy divergence of the series of step sizes and convergence of the series of their squares.

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Oct 14

Classical stochastic approximation theory relies on the Robbins-Monro conditions to guarantee convergence, but SGDM with a constant step size does not satisfy these conditions, and the parameters keep fluctuating around a steady state rather than converging to a point.

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