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Strong contraction mapping and topological non-convex optimization (1807.04129v4)
Published 8 Jul 2018 in math.GM
Abstract: The strong contraction mapping, a self-mapping that the range is always a subset of the domain, admits a unique fixed-point which can be pinned down by the iteration of the mapping. We introduce a topological non-convex optimization method as an application of strong contraction mapping to achieve global minimum convergence. The strength of the approach is its robustness to local minima and initial point position.
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