| 両方とも前のリビジョン 前のリビジョン 次のリビジョン | 前のリビジョン |
| en:intro:researches:optimization [2020/02/21 11:31] – [Decentralized Optimization Algorithms] Hideaki IIDUKA | en:intro:researches:optimization [2020/02/21 11:33] (現在) – Hideaki IIDUKA |
|---|
| The following are the results of the algorithms based on the above methods. | The following are the results of the algorithms based on the above methods. |
| ==== Decentralized Optimization Algorithms ==== | ==== Decentralized Optimization Algorithms ==== |
| * K. Shimizu, K. Hishinuma, [[:en:iiduka:|H. Iiduka]]: Parallel Computing Proximal Method for Nonsmooth Convex Optimization with Fixed Point Constraints of Quasi-nonexpansive Mappings, submitted | * K. Shimizu, K. Hishinuma, [[:en:iiduka:|H. Iiduka]]: Parallel Computing Proximal Method for Nonsmooth Convex Optimization With Fixed Point Constraints of Quasi-nonexpansive Mappings, Applied Set-Valued Analysis and Optimization, accepted |
| * H. Oishi, Y. Kobayashi, [[:en:iiduka:|H. Iiduka]]: [[http://www.ybook.co.jp/online-p/LNA/Open/vol5/lnav5n3p477-oa/index.html|Incremental Proximal Method for Nonsmooth Convex Optimization With Fixed Point Constraints of Quasi-nonexpansive Mappings]], Linear and Nonlinear Analysis, Vol. 5, No. 3, pp. 477-493, 2019. | * H. Oishi, Y. Kobayashi, [[:en:iiduka:|H. Iiduka]]: [[http://www.ybook.co.jp/online-p/LNA/Open/vol5/lnav5n3p477-oa/index.html|Incremental Proximal Method for Nonsmooth Convex Optimization With Fixed Point Constraints of Quasi-nonexpansive Mappings]], Linear and Nonlinear Analysis, Vol. 5, No. 3, pp. 477-493, 2019. |
| * [[:en:iiduka:|H. Iiduka]]: [[https://ieeexplore.ieee.org/document/8584116|Distributed Optimization for Network Resource Allocation with Nonsmooth Utility Functions]], IEEE Transactions on Control of Network Systems, Vol. 6, No. 4, pp. 1354-1365, 2019. | * [[:en:iiduka:|H. Iiduka]]: [[https://ieeexplore.ieee.org/document/8584116|Distributed Optimization for Network Resource Allocation with Nonsmooth Utility Functions]], IEEE Transactions on Control of Network Systems, Vol. 6, No. 4, pp. 1354-1365, 2019. |
| * [[en:iiduka:|H. Iiduka]] and M. Uchida: [[http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=5752800&url=http%3A%2F%2Fieeexplore.ieee.org%2Fiel5%2F4234%2F5895119%2F05752800.pdf%3Farnumber%3D5752800|Fixed Point Optimization Algorithms for Network Bandwidth Allocation Problems with Compoundable Constraints]], IEEE Communications Letters, Vol. 15, No. 6, pp. 596-598, 2011. | * [[en:iiduka:|H. Iiduka]] and M. Uchida: [[http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=5752800&url=http%3A%2F%2Fieeexplore.ieee.org%2Fiel5%2F4234%2F5895119%2F05752800.pdf%3Farnumber%3D5752800|Fixed Point Optimization Algorithms for Network Bandwidth Allocation Problems with Compoundable Constraints]], IEEE Communications Letters, Vol. 15, No. 6, pp. 596-598, 2011. |
| * [[en:iiduka:|H. Iiduka]] and [[http://www.sp.ss.titech.ac.jp/index.php?Isao%20Yamada|I. Yamada]]: [[http://www.tandfonline.com/doi/abs/10.1080/02331930701762829|A Subgradient-type Method for the Equilibrium Problem over the Fixed Point Set and its Applications]], Optimization, Vol. 58, No. 2, pp. 251-261, 2009. | * [[en:iiduka:|H. Iiduka]] and [[http://www.sp.ss.titech.ac.jp/index.php?Isao%20Yamada|I. Yamada]]: [[http://www.tandfonline.com/doi/abs/10.1080/02331930701762829|A Subgradient-type Method for the Equilibrium Problem over the Fixed Point Set and its Applications]], Optimization, Vol. 58, No. 2, pp. 251-261, 2009. |
| |
| |
| |
| |
| ==== Decentralized Optimization Algorithms ==== | ==== Decentralized Optimization Algorithms ==== |
| * K. Hishinuma and [[en:iiduka:|H. Iiduka]]: [[https://doi.org/10.1016/j.ejor.2019.09.037|Fixed Point Quasiconvex Subgradient Method]], European Journal of Operational Research, Vol. 282, No. 2, 428–437, 2020 | |
| * [[en:iiduka:|H. Iiduka]]: [[http://www.ybook.co.jp/|Distributed Iterative Methods for Solving Nonmonotone Variational Inequality over the Intersection of Fixed Point Sets of Nonexpansive Mappings]], Pacific Journal of Optimization, Vol. 10, No. 4, pp. 691-713, 2014. | * [[en:iiduka:|H. Iiduka]]: [[http://www.ybook.co.jp/|Distributed Iterative Methods for Solving Nonmonotone Variational Inequality over the Intersection of Fixed Point Sets of Nonexpansive Mappings]], Pacific Journal of Optimization, Vol. 10, No. 4, pp. 691-713, 2014. |
| |
| | ===== Optimization Algorithms for Nonsmooth Nonconvex Optimization ===== |
| | ==== Centralized Optimization Algorithms ==== |
| | * K. Hishinuma and [[en:iiduka:|H. Iiduka]]: [[https://doi.org/10.1016/j.ejor.2019.09.037|Fixed Point Quasiconvex Subgradient Method]], European Journal of Operational Research, Vol. 282, No. 2, 428–437, 2020 |
| |