Under a new scaled Kurdyka-Łojasiewicz property, Bregman projected gradient with the Shannon entropy kernel converges to critical points for continuous subanalytic objectives, with linear rates when the scaled exponent is 1/2.
A descent lemma beyond Lipschitz gradient continuity: First-order methods revisited and applications.Mathematics of Operations Research, 42(2):330–348, 2017
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On the Iterate Convergence of Bregman Projected Gradient Method
Under a new scaled Kurdyka-Łojasiewicz property, Bregman projected gradient with the Shannon entropy kernel converges to critical points for continuous subanalytic objectives, with linear rates when the scaled exponent is 1/2.