A simple convergence analysis of Bregman proximal gradient algorithm
Sign Up to like & getrecommendations! Published in 2019 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-019-00092-y
Abstract: In this paper, we provide a simple convergence analysis of proximal gradient algorithm with Bregman distance, which provides a tighter bound than existing result. In particular, for the problem of minimizing a class of convex… read more here.
Keywords: proximal gradient; bregman; gradient algorithm; convergence ... See more keywords
Convergence of Nonmonotone Proximal Gradient Methods under the Kurdyka-Łojasiewicz Property without a Global Lipschitz Assumption
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-025-02762-w
Abstract: We consider the composite minimization problem with the objective function being the sum of a continuously differentiable and a merely lower semicontinuous and extended-valued function. The proximal gradient method is probably the most popular solver… read more here.
Keywords: proximal gradient; gradient; kurdyka ojasiewicz; assumption ... See more keywords
Convergence rates analysis of a multiobjective proximal gradient method
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DOI: 10.1007/s11590-022-01877-7
Abstract: In 2019, Tanabe et al. proposed proximal gradient methods for multiobjective optimization. Under reasonable assumptions, they proved that the accumulation points of the sequences generated by these methods are Pareto stationary. However, the convergence rates… read more here.
Keywords: optimization; convergence rates; proximal gradient; multiobjective proximal ... See more keywords
Snake: A Stochastic Proximal Gradient Algorithm for Regularized Problems Over Large Graphs
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2890888
Abstract: A regularized optimization problem over a large unstructured graph is studied, where the regularization term is tied to the graph geometry. Typical regularization examples include the total variation and the Laplacian regularizations over the graph.… read more here.
Keywords: regularized problems; proximal gradient; gradient algorithm; algorithm ... See more keywords
A proximal gradient method with double inertial steps for minimization problems involving demicontractive mappings
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-024-03145-x
Abstract: In this article, we present a novel proximal gradient method based on double inertial steps for solving fixed points of demicontractive mapping and minimization problems. We also establish a weak convergence theorem by applying this… read more here.
Keywords: minimization problems; method; gradient method; proximal gradient ... See more keywords