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en:intro:researches:optimization [2020/02/21 11:27] – [Centralized Optimization Algorithms] Hideaki IIDUKAen:intro:researches:optimization [2020/02/21 11:33] (現在) Hideaki IIDUKA
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   * [[:en:iiduka:|H. Iiduka]]: [[https://ieeexplore.ieee.org/document/8744480|Stochastic Fixed Point Optimization Algorithm for Classifier Ensemble]], IEEE Transactions on Cybernetics (accepted)    * [[:en:iiduka:|H. Iiduka]]: [[https://ieeexplore.ieee.org/document/8744480|Stochastic Fixed Point Optimization Algorithm for Classifier Ensemble]], IEEE Transactions on Cybernetics (accepted) 
   * [[:en:iiduka:|H. Iiduka]]: [[https://link.springer.com/article/10.1007/s11081-019-09440-7|Decentralized Hierarchical Constrained Convex Optimization]], Optimization and Engineering, Vol. 21, No. 1, pp. 181–213, 2020.   * [[:en:iiduka:|H. Iiduka]]: [[https://link.springer.com/article/10.1007/s11081-019-09440-7|Decentralized Hierarchical Constrained Convex Optimization]], Optimization and Engineering, Vol. 21, No. 1, pp. 181–213, 2020.
-  * [[:en:iiduka:|H. Iiduka]]: [[https://www.jstage.jst.go.jp/article/jorsj/58/4/58_330/_pdf|Parallel Optimization Algorithm for Smooth Convex Optimization over Fixed Point Sets of Quasi-nonexpansive Mappings]], Journal of the Operations Research of Japan, //Vol. 58, No. 4, pp. 330-352, 2015//+  * [[:en:iiduka:|H. Iiduka]]: [[https://www.jstage.jst.go.jp/article/jorsj/58/4/58_330/_pdf|Parallel Optimization Algorithm for Smooth Convex Optimization over Fixed Point Sets of Quasi-nonexpansive Mappings]], Journal of the Operations Research of Japan, Vol. 58, No. 4, pp. 330-352, 2015. 
-  * [[:en:iiduka:|H. Iiduka]]: [[http://www.ybook.co.jp/online-p/JNCA/Open/16/jncav16n11p2159-oa/FLASH/index.html|Distributed Convex Optimization Algorithms and Their Application to Distributed Control in Peer-to-Peer Data Storage System]], Journal of Nonlinear and Convex Analysis: : Special Issue-Dedicated to Wataru Takahashi on the occasion of his 70th birth day, //Vol. 16, No. 11, pp. 2159-2179, 2015//+  * [[:en:iiduka:|H. Iiduka]]: [[http://www.ybook.co.jp/online-p/JNCA/Open/16/jncav16n11p2159-oa/FLASH/index.html|Distributed Convex Optimization Algorithms and Their Application to Distributed Control in Peer-to-Peer Data Storage System]], Journal of Nonlinear and Convex Analysis: : Special Issue-Dedicated to Wataru Takahashi on the occasion of his 70th birth day, Vol. 16, No. 11, pp. 2159-2179, 2015. 
-  * [[:en:iiduka:|H. Iiduka]] and K. Hishinuma: [[http://epubs.siam.org/doi/abs/10.1137/130939560|Acceleration Method Combining Broadcast and Incremental Distributed Optimization Algorithms]], //SIAM Journal on Optimization, Vol. 24, No. 4, pp. 1840-1863, 2014.// +  * [[:en:iiduka:|H. Iiduka]] and K. Hishinuma: [[http://epubs.siam.org/doi/abs/10.1137/130939560|Acceleration Method Combining Broadcast and Incremental Distributed Optimization Algorithms]], SIAM Journal on Optimization, Vol. 24, No. 4, pp. 1840-1863, 2014. 
-  * [[:en:iiduka:|H. Iiduka]]: [[http://epubs.siam.org/doi/abs/10.1137/120866877|Fixed Point Optimization Algorithms for Distributed Optimization in Networked Systems]], //SIAM Journal on Optimization, Vol. 23, No. 1, pp. 1-26, 2013.// +  * [[:en:iiduka:|H. Iiduka]]: [[http://epubs.siam.org/doi/abs/10.1137/120866877|Fixed Point Optimization Algorithms for Distributed Optimization in Networked Systems]], SIAM Journal on Optimization, Vol. 23, No. 1, pp. 1-26, 2013.
  
 ===== Optimization Algorithms for Nonsmooth Convex Optimization ===== ===== Optimization Algorithms for Nonsmooth Convex Optimization =====
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 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]]: Incremental Proximal Method for Nonsmooth Convex Optimization with Fixed Point Constraints of Quasi-nonexpansive Mappings, Linear and Nonlinear Analysis (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. 
-  * [[: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 (accepted) +  * [[: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. 
-  * K. Hishinuma and [[en:iiduka:|H. Iiduka]]: Convergence Analysis of Incremental and Parallel Line Search Subgradient Methods in Hilbert Space, Journal of Nonlinear and Convex Analysis: Special Issue-Dedicated to Wataru Takahashi on the occasion of his 75th birth day, Vol. 20, No. 9, pp.1937-1947, 2019.+  * K. Hishinuma and [[en:iiduka:|H. Iiduka]]: [[http://www.ybook.co.jp/online2/opjnca/vol20/p1937.html|Convergence Analysis of Incremental and Parallel Line Search Subgradient Methods in Hilbert Space]], Journal of Nonlinear and Convex Analysis: Special Issue-Dedicated to Wataru Takahashi on the occasion of his 75th birth day, Vol. 20, No. 9, pp.1937-1947, 2019.
   * K. Hishinuma and [[:en:iiduka:|H. Iiduka]]: [[https://www.frontiersin.org/articles/10.3389/frobt.2019.00077/full|Incremental and Parallel Machine Learning Algorithms with Automated Learning Rate Adjustments]], Frontiers in Robotics and AI: Resolution of Limitations of Deep Learning to Develop New AI Paradigms, Vol. 6, Article 77, 2019.    * K. Hishinuma and [[:en:iiduka:|H. Iiduka]]: [[https://www.frontiersin.org/articles/10.3389/frobt.2019.00077/full|Incremental and Parallel Machine Learning Algorithms with Automated Learning Rate Adjustments]], Frontiers in Robotics and AI: Resolution of Limitations of Deep Learning to Develop New AI Paradigms, Vol. 6, Article 77, 2019. 
   * [[:en:iiduka:|H. Iiduka]]: [[http://www.tandfonline.com/doi/full/10.1080/10556788.2018.1425860|Two Stochastic Optimization Algorithms for Convex Optimization with Fixed Point Constraints]], Optimization Methods and Software, Vol. 34, No. 4, pp.731-757, 2019.   * [[:en:iiduka:|H. Iiduka]]: [[http://www.tandfonline.com/doi/full/10.1080/10556788.2018.1425860|Two Stochastic Optimization Algorithms for Convex Optimization with Fixed Point Constraints]], Optimization Methods and Software, Vol. 34, No. 4, pp.731-757, 2019.
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   * [[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. 
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 ==== 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
  
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  • by Hideaki IIDUKA