A modified inertial proximal minimization algorithm for structured nonconvex and nonsmooth problem
We introduce an enhanced inertial proximal minimization algorithm tailored for a category of structured nonconvex and nonsmooth optimization problems. The objective function in question is an aggregation of a smooth function with an associated linear operator, a nonsmooth function dependent on an in...
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| Vydáno v: | Journal of inequalities and applications Ročník 2024; číslo 1; s. 124 - 23 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Cham
Springer International Publishing
20.09.2024
Springer Nature B.V SpringerOpen |
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| ISSN: | 1029-242X, 1025-5834, 1029-242X |
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| Abstract | We introduce an enhanced inertial proximal minimization algorithm tailored for a category of structured nonconvex and nonsmooth optimization problems. The objective function in question is an aggregation of a smooth function with an associated linear operator, a nonsmooth function dependent on an independent variable, and a mixed function involving two variables. Throughout the iterative procedure, parameters are selected employing a straightforward approach, and weak inertial terms are incorporated into two subproblems within the update sequence. Under a set of lenient conditions, we demonstrate that the sequence engendered by our algorithm is bounded. Furthermore, we establish the global and strong convergence of the algorithmic sequence, contingent upon the assumption that the principal function adheres to the Kurdyka–Łojasiewicz (KL) property. Ultimately, the numerical outcomes corroborate the algorithm’s feasibility and efficacy. |
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| AbstractList | We introduce an enhanced inertial proximal minimization algorithm tailored for a category of structured nonconvex and nonsmooth optimization problems. The objective function in question is an aggregation of a smooth function with an associated linear operator, a nonsmooth function dependent on an independent variable, and a mixed function involving two variables. Throughout the iterative procedure, parameters are selected employing a straightforward approach, and weak inertial terms are incorporated into two subproblems within the update sequence. Under a set of lenient conditions, we demonstrate that the sequence engendered by our algorithm is bounded. Furthermore, we establish the global and strong convergence of the algorithmic sequence, contingent upon the assumption that the principal function adheres to the Kurdyka–Łojasiewicz (KL) property. Ultimately, the numerical outcomes corroborate the algorithm’s feasibility and efficacy. We introduce an enhanced inertial proximal minimization algorithm tailored for a category of structured nonconvex and nonsmooth optimization problems. The objective function in question is an aggregation of a smooth function with an associated linear operator, a nonsmooth function dependent on an independent variable, and a mixed function involving two variables. Throughout the iterative procedure, parameters are selected employing a straightforward approach, and weak inertial terms are incorporated into two subproblems within the update sequence. Under a set of lenient conditions, we demonstrate that the sequence engendered by our algorithm is bounded. Furthermore, we establish the global and strong convergence of the algorithmic sequence, contingent upon the assumption that the principal function adheres to the Kurdyka–Łojasiewicz (KL) property. Ultimately, the numerical outcomes corroborate the algorithm’s feasibility and efficacy. Abstract We introduce an enhanced inertial proximal minimization algorithm tailored for a category of structured nonconvex and nonsmooth optimization problems. The objective function in question is an aggregation of a smooth function with an associated linear operator, a nonsmooth function dependent on an independent variable, and a mixed function involving two variables. Throughout the iterative procedure, parameters are selected employing a straightforward approach, and weak inertial terms are incorporated into two subproblems within the update sequence. Under a set of lenient conditions, we demonstrate that the sequence engendered by our algorithm is bounded. Furthermore, we establish the global and strong convergence of the algorithmic sequence, contingent upon the assumption that the principal function adheres to the Kurdyka–Łojasiewicz (KL) property. Ultimately, the numerical outcomes corroborate the algorithm’s feasibility and efficacy. |
| ArticleNumber | 124 |
| Author | Ma, Qianfeng Xue, Zhonghui |
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| Cites_doi | 10.1007/s10107-011-0484-9 10.1109/TIT.2006.871582 10.1287/moor.2019.1008 10.1137/14095697X 10.1007/s10915-010-9408-8 10.1186/s13660-017-1504-y 10.1016/0167-2789(92)90242-F 10.1109/ACCESS.2019.2914461 10.1007/s10957-015-0730-z 10.1137/18M1190689 10.1287/moor.1100.0449 10.1088/1361-6420/ac0966 10.1023/A:1017501703105 10.1137/S0363012998338806 10.1007/s10898-019-00819-5 10.1007/BF01397082 10.1007/s10107-013-0701-9 10.1137/140998135 10.1137/0716071 10.1137/16M1064064 10.1080/00207160.2020.1812585 10.1016/0041-5553(64)90137-5 10.1007/s10898-022-01176-6 10.1137/050626090 10.1137/140980910 10.1007/s10851-015-0565-0 10.1007/s10915-018-0757-z 10.1090/S0025-5718-2012-02598-1 |
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| References | Rudin, Osher, Fatemi (CR27) 1992; 60 Gao, Cai, Han (CR16) 2020; 76 CR17 Liu, Shen, Gu (CR21) 2017; 7 Bot, Kanzler (CR9) 2021; 394 CR15 Bot, Csetnek, Nguyen (CR8) 2019; 29 Zhang, Burger, Osher (CR32) 2010; 46 Donoho (CR14) 2006; 52 Hong, Luo, Razaviyayn (CR18) 2015 Polyak (CR26) 1964; 4 Bolte, Sabach, Teboulle (CR5) 2014; 146 Chen, Ma, Yang (CR12) 2015; 25 Wang, Yin, Zeng (CR30) 2019; 78 Auslender (CR3) 1971; 18 Bian, Liang, Zhang (CR4) 2021; 37 Pock, Sabach (CR25) 2016; 9 Tseng (CR28) 2000; 38 Attouch, Bolte, Svaiter (CR2) 2013; 137 Ouyang, Chen, Lan, Pasiliao (CR24) 2015; 8 Yang, Yuan (CR31) 2013; 82 CR6 Bot, Csetnek (CR7) 2016; 171 Attouch, Bolte, Redont, Soubeyran (CR1) 2010; 35 Ochs, Brox, Pock (CR22) 2015; 53 Ortega, Rheinboldt (CR23) 1970 Combettes, Wajs (CR13) 2005; 4 Chao, Zhang, Jian (CR11) 2021; 98 Bot, Nguyen (CR10) 2020; 45 Lions, Mercier (CR20) 1979; 16 Zhao, Dong, Rassias, Wang (CR34) 2022; 84 Li, Pong (CR19) 2015; 25 Tseng (CR29) 2001; 109 Zhang, He (CR33) 2017; 2017 P.L. Lions (3206_CR20) 1979; 16 H. Attouch (3206_CR2) 2013; 137 X. Gao (3206_CR16) 2020; 76 J.M. Ortega (3206_CR23) 1970 R.I. Bot (3206_CR8) 2019; 29 R.I. Bot (3206_CR9) 2021; 394 C.H. Chen (3206_CR12) 2015; 25 L.I. Rudin (3206_CR27) 1992; 60 T. Pock (3206_CR25) 2016; 9 A. Auslender (3206_CR3) 1971; 18 Y. Ouyang (3206_CR24) 2015; 8 Q. Liu (3206_CR21) 2017; 7 Y. Wang (3206_CR30) 2019; 78 Y. Zhang (3206_CR33) 2017; 2017 P.L. Combettes (3206_CR13) 2005; 4 P. Ochs (3206_CR22) 2015; 53 B.T. Polyak (3206_CR26) 1964; 4 3206_CR15 3206_CR17 3206_CR6 P. Tseng (3206_CR28) 2000; 38 J. Yang (3206_CR31) 2013; 82 M.T. Chao (3206_CR11) 2021; 98 J. Zhao (3206_CR34) 2022; 84 P. Tseng (3206_CR29) 2001; 109 G. Li (3206_CR19) 2015; 25 F.M. Bian (3206_CR4) 2021; 37 X.Q. Zhang (3206_CR32) 2010; 46 M. Hong (3206_CR18) 2015 H. Attouch (3206_CR1) 2010; 35 R.I. Bot (3206_CR7) 2016; 171 J. Bolte (3206_CR5) 2014; 146 R.I. Bot (3206_CR10) 2020; 45 D.L. Donoho (3206_CR14) 2006; 52 |
| References_xml | – volume: 137 start-page: 91 year: 2013 end-page: 129 ident: CR2 article-title: Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods publication-title: Math. Program. doi: 10.1007/s10107-011-0484-9 – volume: 52 start-page: 1289 issue: 4 year: 2006 end-page: 1306 ident: CR14 article-title: Compressed sensing publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2006.871582 – volume: 45 start-page: 682 issue: 2 year: 2020 end-page: 712 ident: CR10 article-title: The proximal alternating direction method of multipliers in the nonconvex setting: convergence analysis and rates publication-title: Math. Oper. Res. doi: 10.1287/moor.2019.1008 – volume: 8 start-page: 644 issue: 1 year: 2015 end-page: 681 ident: CR24 article-title: An accelerated linearized alternating direction method of multipliers publication-title: SIAM J. Imaging Sci. doi: 10.1137/14095697X – volume: 394 issue: 10 year: 2021 ident: CR9 article-title: A forward-backward dynamical approach for nonsmooth problems with block structure coupled by a smooth function publication-title: Appl. Math. Comput. – volume: 46 start-page: 20 year: 2010 end-page: 46 ident: CR32 article-title: A unified primal-dual algorithm framework based on Bregman iteration publication-title: J. Sci. Comput. doi: 10.1007/s10915-010-9408-8 – volume: 2017 year: 2017 ident: CR33 article-title: Inertial proximal alternating minimization for nonconvex and nonsmooth problems publication-title: J. Inequal. Appl. doi: 10.1186/s13660-017-1504-y – volume: 60 start-page: 259 issue: 1–4 year: 1992 end-page: 268 ident: CR27 article-title: Nonlinear total variation based noise removal algorithms publication-title: Phys. D, Nonlinear Phenom. doi: 10.1016/0167-2789(92)90242-F – volume: 7 start-page: 76131 year: 2017 end-page: 76144 ident: CR21 article-title: Linearized ADMM for non-convex non-smooth optimization with convergence analysis publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2914461 – year: 1970 ident: CR23 publication-title: Iterative Solution of Nonlinear Equations in Several Variables – ident: CR6 – volume: 171 start-page: 600 issue: 2 year: 2016 end-page: 616 ident: CR7 article-title: An inertial Tseng’s type proximal algorithm for nonsmooth and nonconvex optimization problems publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-015-0730-z – volume: 29 start-page: 1300 issue: 2 year: 2019 end-page: 1328 ident: CR8 article-title: A proximal minimization algorithm for structured nonconvex and nonsmooth problems publication-title: SIAM J. Optim. doi: 10.1137/18M1190689 – volume: 35 start-page: 438 issue: 2 year: 2010 end-page: 457 ident: CR1 article-title: Proximal alternating minimization and projection methods for nonconvex problems: an approach based on the Kurdyka–Lojasiewicz inequality publication-title: Math. Oper. Res. doi: 10.1287/moor.1100.0449 – volume: 37 issue: 7 year: 2021 ident: CR4 article-title: A stochastic alternating direction method of multipliers for non-smooth and non-convex optimization publication-title: Inverse Probl. doi: 10.1088/1361-6420/ac0966 – volume: 109 start-page: 475 issue: 3 year: 2001 end-page: 494 ident: CR29 article-title: Convergence of a block coordinate descent method for nondifferentiable minimization publication-title: J. Optim. Theory Appl. doi: 10.1023/A:1017501703105 – volume: 38 start-page: 431 issue: 2 year: 2000 end-page: 446 ident: CR28 article-title: A modified forward–backward splitting method for maximal monotone mappings publication-title: SIAM J. Control Optim. doi: 10.1137/S0363012998338806 – volume: 76 start-page: 863 issue: 4 year: 2020 end-page: 887 ident: CR16 article-title: A Gauss–Seidel type inertial proximal alternating linearized minimization for a class of nonconvex optimization problems publication-title: J. Glob. Optim. doi: 10.1007/s10898-019-00819-5 – ident: CR15 – start-page: 3836 year: 2015 end-page: 3840 ident: CR18 article-title: Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems publication-title: IEEE – volume: 18 start-page: 213 issue: 3 year: 1971 end-page: 223 ident: CR3 article-title: Méthodes numériques pour la décomposition et la minimisation de fonctions nondifférentiables publication-title: Numer. Math. doi: 10.1007/BF01397082 – volume: 146 start-page: 459 year: 2014 end-page: 494 ident: CR5 article-title: Proximal alternating linearized minimization for nonconvex and nonsmooth problems publication-title: Math. Program. doi: 10.1007/s10107-013-0701-9 – ident: CR17 – volume: 25 start-page: 2434 issue: 4 year: 2015 end-page: 2460 ident: CR19 article-title: Global convergence of splitting methods for nonconvex composite optimization publication-title: SIAM J. Optim. doi: 10.1137/140998135 – volume: 16 start-page: 964 issue: 6 year: 1979 end-page: 979 ident: CR20 article-title: Splitting algorithms for the sum of two nonlinear operators publication-title: SIAM J. Numer. Anal. doi: 10.1137/0716071 – volume: 9 start-page: 1756 issue: 4 year: 2016 end-page: 1787 ident: CR25 article-title: Inertial proximal alternating linearized minimization (iPALM) for nonconvex and nonsmooth problems publication-title: SIAM J. Imaging Sci. doi: 10.1137/16M1064064 – volume: 98 start-page: 1199 issue: 6 year: 2021 end-page: 1217 ident: CR11 article-title: An inertial proximal alternating direction method of multipliers for nonconvex optimization publication-title: Int. J. Comput. Math. doi: 10.1080/00207160.2020.1812585 – volume: 4 start-page: 1 issue: 5 year: 1964 end-page: 17 ident: CR26 article-title: Some methods of speeding up the convergence of iteration methods publication-title: USSR Comput. Math. Math. Phys. doi: 10.1016/0041-5553(64)90137-5 – volume: 84 start-page: 941 year: 2022 end-page: 966 ident: CR34 article-title: Two-step inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems publication-title: J. Glob. Optim. doi: 10.1007/s10898-022-01176-6 – volume: 4 start-page: 1168 issue: 4 year: 2005 end-page: 1200 ident: CR13 article-title: Signal recovery by proximal forward–backward splitting publication-title: Multiscale Model. Simul. doi: 10.1137/050626090 – volume: 25 start-page: 2120 issue: 4 year: 2015 end-page: 2142 ident: CR12 article-title: A general inertial proximal point algorithm for mixed variational inequality problem publication-title: SIAM J. Optim. doi: 10.1137/140980910 – volume: 53 start-page: 171 issue: 2 year: 2015 end-page: 181 ident: CR22 article-title: iPiasco: inertial proximal algorithm for strongly convex optimization publication-title: J. Math. Imaging Vis. doi: 10.1007/s10851-015-0565-0 – volume: 78 start-page: 29 year: 2019 end-page: 63 ident: CR30 article-title: Global convergence of ADMM in nonconvex nonsmooth optimization publication-title: J. Sci. Comput. doi: 10.1007/s10915-018-0757-z – volume: 82 start-page: 301 issue: 281 year: 2013 end-page: 329 ident: CR31 article-title: Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization publication-title: Math. Comput. doi: 10.1090/S0025-5718-2012-02598-1 – volume-title: Iterative Solution of Nonlinear Equations in Several Variables year: 1970 ident: 3206_CR23 – volume: 84 start-page: 941 year: 2022 ident: 3206_CR34 publication-title: J. Glob. Optim. doi: 10.1007/s10898-022-01176-6 – volume: 46 start-page: 20 year: 2010 ident: 3206_CR32 publication-title: J. Sci. Comput. doi: 10.1007/s10915-010-9408-8 – volume: 137 start-page: 91 year: 2013 ident: 3206_CR2 publication-title: Math. Program. doi: 10.1007/s10107-011-0484-9 – volume: 8 start-page: 644 issue: 1 year: 2015 ident: 3206_CR24 publication-title: SIAM J. Imaging Sci. doi: 10.1137/14095697X – start-page: 3836 volume-title: IEEE year: 2015 ident: 3206_CR18 – volume: 53 start-page: 171 issue: 2 year: 2015 ident: 3206_CR22 publication-title: J. Math. Imaging Vis. doi: 10.1007/s10851-015-0565-0 – volume: 78 start-page: 29 year: 2019 ident: 3206_CR30 publication-title: J. Sci. Comput. doi: 10.1007/s10915-018-0757-z – volume: 4 start-page: 1 issue: 5 year: 1964 ident: 3206_CR26 publication-title: USSR Comput. Math. Math. Phys. doi: 10.1016/0041-5553(64)90137-5 – volume: 171 start-page: 600 issue: 2 year: 2016 ident: 3206_CR7 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-015-0730-z – volume: 45 start-page: 682 issue: 2 year: 2020 ident: 3206_CR10 publication-title: Math. Oper. Res. doi: 10.1287/moor.2019.1008 – volume: 76 start-page: 863 issue: 4 year: 2020 ident: 3206_CR16 publication-title: J. Glob. Optim. doi: 10.1007/s10898-019-00819-5 – volume: 29 start-page: 1300 issue: 2 year: 2019 ident: 3206_CR8 publication-title: SIAM J. Optim. doi: 10.1137/18M1190689 – volume: 109 start-page: 475 issue: 3 year: 2001 ident: 3206_CR29 publication-title: J. Optim. Theory Appl. doi: 10.1023/A:1017501703105 – volume: 9 start-page: 1756 issue: 4 year: 2016 ident: 3206_CR25 publication-title: SIAM J. Imaging Sci. doi: 10.1137/16M1064064 – volume: 37 issue: 7 year: 2021 ident: 3206_CR4 publication-title: Inverse Probl. doi: 10.1088/1361-6420/ac0966 – volume: 2017 year: 2017 ident: 3206_CR33 publication-title: J. Inequal. Appl. doi: 10.1186/s13660-017-1504-y – ident: 3206_CR6 – volume: 38 start-page: 431 issue: 2 year: 2000 ident: 3206_CR28 publication-title: SIAM J. Control Optim. doi: 10.1137/S0363012998338806 – volume: 35 start-page: 438 issue: 2 year: 2010 ident: 3206_CR1 publication-title: Math. Oper. Res. doi: 10.1287/moor.1100.0449 – volume: 7 start-page: 76131 year: 2017 ident: 3206_CR21 publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2914461 – volume: 52 start-page: 1289 issue: 4 year: 2006 ident: 3206_CR14 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2006.871582 – volume: 146 start-page: 459 year: 2014 ident: 3206_CR5 publication-title: Math. Program. doi: 10.1007/s10107-013-0701-9 – volume: 394 issue: 10 year: 2021 ident: 3206_CR9 publication-title: Appl. Math. Comput. – volume: 25 start-page: 2120 issue: 4 year: 2015 ident: 3206_CR12 publication-title: SIAM J. Optim. doi: 10.1137/140980910 – volume: 25 start-page: 2434 issue: 4 year: 2015 ident: 3206_CR19 publication-title: SIAM J. Optim. doi: 10.1137/140998135 – volume: 18 start-page: 213 issue: 3 year: 1971 ident: 3206_CR3 publication-title: Numer. Math. doi: 10.1007/BF01397082 – ident: 3206_CR17 – volume: 4 start-page: 1168 issue: 4 year: 2005 ident: 3206_CR13 publication-title: Multiscale Model. Simul. doi: 10.1137/050626090 – volume: 98 start-page: 1199 issue: 6 year: 2021 ident: 3206_CR11 publication-title: Int. J. Comput. Math. doi: 10.1080/00207160.2020.1812585 – ident: 3206_CR15 – volume: 16 start-page: 964 issue: 6 year: 1979 ident: 3206_CR20 publication-title: SIAM J. Numer. Anal. doi: 10.1137/0716071 – volume: 82 start-page: 301 issue: 281 year: 2013 ident: 3206_CR31 publication-title: Math. Comput. doi: 10.1090/S0025-5718-2012-02598-1 – volume: 60 start-page: 259 issue: 1–4 year: 1992 ident: 3206_CR27 publication-title: Phys. D, Nonlinear Phenom. doi: 10.1016/0167-2789(92)90242-F |
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| Snippet | We introduce an enhanced inertial proximal minimization algorithm tailored for a category of structured nonconvex and nonsmooth optimization problems. The... Abstract We introduce an enhanced inertial proximal minimization algorithm tailored for a category of structured nonconvex and nonsmooth optimization problems.... |
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| StartPage | 124 |
| SubjectTerms | Algorithms Analysis Applications of Mathematics Approximation Dependent variables Independent variables Kurdyka–Łojasiewicz property Linear operators Mathematics Mathematics and Statistics Nonconvex-nonsmooth optimization Optimization Parameter modification Proximal minimization algorithm Weak inertial |
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| Title | A modified inertial proximal minimization algorithm for structured nonconvex and nonsmooth problem |
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