A Forward–Backward Algorithm With Different Inertial Terms for Structured Non-Convex Minimization Problems

We investigate an inertial forward–backward algorithm in connection with the minimization of the sum of a non-smooth and possibly non-convex and a non-convex differentiable function. The algorithm is formulated in the spirit of the famous FISTA method; however, the setting is non-convex and we allow...

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Vydáno v:	Journal of optimization theory and applications Ročník 198; číslo 1; s. 387 - 427
Hlavní autor:	László, Szilárd Csaba
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.07.2023 Springer Nature B.V
Témata:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convergence Critical point Engineering Global optimization Image restoration Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Regularization Sequences Theory of Computation Global optimization Non-convex optimization KL exponent Abstract convergence theorem 90C30 Convergence rate 65K10 Inertial proximal-gradient algorithm 90C26 Kurdyka–Łojasiewicz inequality
ISSN:	0022-3239, 1573-2878
On-line přístup:	Získat plný text
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