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ConceptGoldstein stationarity / Goldstein稳定点

Goldstein Stationary Point

An approximate optimality concept in non-convex optimization, defined through the norm of the gradient mapping. It applies to nonsmooth non-convex problems and provides a computable stopping criterion.

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Oct 15

A Goldstein stationary point is defined via the norm of the gradient mapping: if the supremum of \|\nabla f(x)\| = \|x - prox_{\eta f}(x)\|/\eta does not exceed \delta, then x is called a \delta-Goldstein stationary point.

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