Organization
Undergraduate School School of Science and Technology Professor
Title
Professor
Homepage
External link
Degree
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Ph.D. (Science) ( 2005.3 Tokyo Institute of Technology )
Research Interests
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ネットワーク資源割り当て
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機械学習
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最適化アルゴリズム
Research Areas
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Informatics / Information theory / 情報学基礎(Fundamental Informatics)
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Natural sciences / Basic analysis / 基礎解析学(Basic Analysis)
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Informatics / Computational science / 工学基礎(Fundamental Engineering)
Education
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Tokyo Institute of Technology Graduate School of Information Science and Engineering Department of Mathematical and Computing Sciences
2002.4 - 2005.3
Country/Region： Japan
Research History
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Meiji University Department of Computer Science Professor
2019.4
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Meiji University Department of Computer Science Associate Professor
2013.4 - 2019.3
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Kyushu Institute of Technology Network Design Research Center Associate Professor
2008.10 - 2013.3
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Japan Society for the Promotion of Science (PD) Special researcher of the Japan Society for the Promotion of Science Research Fellow
2007.4 - 2008.9
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Tokyo Institute of Technology Department of Mathematical and Computing Sciences Research Associate
2005.4 - 2007.3
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Tokyo Institute of Technology Department of Mathematical and Computing Sciences Research Associate
2005.4 - 2007.3
Professional Memberships
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The Operations Research Society of Japan
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Mathematical Optimization Society
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The Institute of Electronics, Information and Communication Engineers (IEICE)
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Society for Industrial and Applied Mathematics (SIAM)
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日本数学会
Papers
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A General Framework of Riemannian Adaptive Optimization Methods with a Convergence Analysis Reviewed International journal
Hiroyuki Sakai, Hideaki Iiduka
Transactions on Machine Learning Research 2025
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Relationship between Batch Size and Number of Steps Needed for Nonconvex Optimization of Stochastic Gradient Descent using Armijo-Line-Search Learning Rate Reviewed International journal
Yuki Tsukada, Hideaki Iiduka
Transactions on Machine Learning Research 2025
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Increasing Both Batch Size and Learning Rate Accelerates Stochastic Gradient Descent Reviewed International journal
Hikaru Umeda, Hideaki Iiduka
Transactions on Machine Learning Research 2025
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Explicit and Implicit Graduated Optimization in Deep Neural Networks Reviewed International journal
Naoki Sato, Hideaki Iiduka
Proceedings of the 39th Annual AAAI Conference on Artificial Intelligence 2025
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Scaled Conjugate Gradient Method for Nonconvex Optimization in Deep Neural Networks Reviewed International journal
Naoki Sato, Koshiro Izumi, Hideaki Iiduka
Journal of Machine Learning Research 25 ( 395 ) 1 - 37 2024
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Theoretical Analysis of Adam using Hyperparameters Close to One without Lipschitz Smoothness Reviewed International journal
Hideaki Iiduka
Numerical Algorithms 95 383 - 421 2024
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Conjugate Gradient Method for Generative Adversarial Networks Reviewed International journal
Hiroki Naganuma, Hideaki Iiduka
Proceedings of the 26th International Conference on Artificial Intelligence and Statistics 206 4381 - 4408 2023
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ϵ-Approximation of Adaptive Leaning Rate Optimization Algorithms for Constrained Nonconvex Stochastic Optimization Reviewed International journal
Hideaki Iiduka
IEEE Transactions on Neural Networks and Learning Systems 34 ( 10 ) 8108 - 8115 2023
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Existence and Estimation of Critical Batch Size for Training Generative Adversarial Networks with Two Time-Scale Update Rule Reviewed International journal
Naoki Sato, Hideaki Iiduka
Proceedings of the 40th International Conference on Machine Learning 202 30080 - 30104 2023
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Global Convergence of Hager-Zhang type Riemannian Conjugate Gradient Method Reviewed International journal
Hiroyuki Sakai, Hiroyuki Sato, Hideaki Iiduka
Applied Mathematics and Computation 441 ( 127685 ) 2023
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Appropriate Learning Rates of Adaptive Learning Rate Optimization Algorithms for Training Deep Neural Networks Reviewed International journal
IEEE Transactions on Cybernetics 2022
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ϵ-Approximation of Adaptive Leaning Rate Optimization Algorithms for Constrained Nonconvex Stochastic Optimization Reviewed International journal
IEEE Transactions on Neural Networks and Learning Systems 2022
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Riemannian Stochastic Fixed Point Optimization Algorithm Reviewed International journal
Hideaki Iiduka, Hiroyuki Sakai
Numerical Algorithms 2022
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Riemannian Adaptive Optimization Algorithm and Its Application to Natural Language Processing Reviewed International journal
IEEE Transactions on Cybernetics 2022
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Inexact Stochastic Subgradient Projection Method for Stochastic Equilibrium Problems with Nonmonotone Bifunctions: Application to Expected Risk Minimization in Machine Learning Reviewed International journal
Journal of Global Optimization 80 ( 2 ) 479 - 505 2021
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Sufficient Descent Riemannian Conjugate Gradient Methods Reviewed International journal
Hiroyuki Sakai, Hideaki Iiduka
Journal of Optimization Theory and Applications 190 130 - 150 2021
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Fixed Point Quasiconvex Subgradient Method Reviewed International journal
European Journal of Operational Research 2020
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Stochastic Fixed Point Optimization Algorithm for Classifier Ensemble. Reviewed International journal
Iiduka Hideaki
IEEE Transactions on Cybernetics 2020
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Hybrid Riemannian Conjugate Gradient Methods with Global Convergence Properties Reviewed International journal
Hiroyuki Sakai, Hideaki Iiduka
Computational Optimization and Applications 77 811 - 830 2020
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Distributed Optimization for Network Resource Allocation With Nonsmooth Utility Functions Reviewed International journal
IEEE Transactions on Control of Network Systems 2019
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Iteration and Stochastic First-order Oracle Complexities of Stochastic Gradient Descent using Constant and Decaying Learning Rates, Reviewed International journal
Kento Imaizumi, Hideaki Iiduka
Optimization 2025
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Modified Memoryless Spectral-scaling Broyden Family on Riemannian Manifolds Reviewed International journal
Hiroyuki Sakai, Hideaki Iiduka
Journal of Optimization Theory and Applications 202 834 - 853 2024
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Convergence of Riemannian Stochastic Gradient Descent on Hadamard Manifold Reviewed International journal
Hiroyuki Sakai, Hideaki Iiduka
Pacific Journal of Optimization 20 ( 4 ) 743 - 767 2024
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Adaptive Methods Using Element-wise P-th Power of Stochastic Gradient for Nonconvex Optimization in Deep Neural Networks Reviewed International journal
Kanako Shimoyama, Hideaki Iiduka
Linear and Nonlinear Analysis 2022
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Conjugate-gradient-based Adam for Nonconvex Stochastic Optimization and Its Application to Deep Learning Invited Reviewed International journal
Yu Kobayashi, Hideaki Iiduka
Journal of Nonlinear and Convex Analysis 23 ( 2 ) 337 - 356 2022
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Evaluation of Fixed Point Quasiconvex Subgradient Method with Computational Inexactness Invited Reviewed International journal
Kazuhiro Hishinuma, Hideaki Iiduka
Pure and Applied Functional Analysis 6 ( 6 ) 1303 - 1316 2021
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Unified Algorithm Framework for Nonconvex Stochastic Optimization in Deep Neural Networks Reviewed International journal
Yini Zhu, Hideaki Iiduka
IEEE Access 9 143807 - 143823 2021
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Stochastic Approximation Method Using Diagonal Positive-Definite Matrices for Convex Optimization with Fixed Point Constraints Invited Reviewed International journal
Hideaki Iiduka
Fixed Point Theory and Algorithms for Sciences and Engineering 2021 ( 10 ) 2021
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Efficiency of Inexact Fixed Point Quasiconvex Subgradient Method Reviewed
Linear and Nonlinear Analysis 2020
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Computation Time of Iterative Methods for Nonsmooth Convex Optimization With Fixed Point Constraints of Quasi-Nonexpansive Mappings Reviewed International journal
Kengo Shimizu, Hideaki Iiduka
Linear and Nonlinear Analysis 6 ( 2 ) 281 - 286 2020
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Decentralized Hierarchical Constrained Convex Optimization Reviewed International journal
Optimization and Engineering 2020
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Training Deep Neural Networks Using Conjugate Gradient-like Methods Reviewed International journal
Hideaki Iiduka, Yu Kobayashi
Electronics 9 ( 11 ) 1809 2020
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Parallel Computing Proximal Method for Nonsmooth Convex Optimization With Fixed Point Constraints of Quasi-nonexpansive Mappings Reviewed International journal
Applied Set-Valued Analysis and Optimization 2020
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Convergence Analysis of Incremental and Parallel Line Search Subgradient Methods in Hilbert Space Reviewed
Journal of Nonlinear and Convex Analysis 2019
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Iterative Methods for Parallel Convex Optimization With Fixed Point Constraints Reviewed International journal
Journal of Nonlinear and Variational Analysis 2019
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Two Stochastic Optimization Algorithms for Convex Optimization With Fixed Point Constraints Reviewed International journal
Optimization Methods and Software 2019
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Incremental Proximal Method for Nonsmooth Convex Optimization With Fixed Point Constraints of Quasi-nonexpansive Mappings Reviewed
Linear and Nonlinear Analysis 2019
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Incremental and Parallel Machine Learning Algorithms With Automated Learning Rate Adjustments Reviewed International journal
Frontiers in Robotics and AI 2019
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Optimality and Convergence for Convex Ensemble Learning With Sparsity and Diversity Based on Fixed Point Optimization International journal
Neurocomputing 2018
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不動点制約付き非平滑凸最適化 Invited
オペレーションズ・リサーチ 経営の科学-特集 第29回RAMPシンポジウム 2018
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Evaluation of Stochastic Approximation Algorithm and Variants for Learning Support Vector Machines Reviewed
Linear and Nonlinear Analysis 2018
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Almost Sure Convergence of Random Projected Proximal and Subgradient Algorithms for Distributed Nonsmooth Convex Optimization Reviewed International journal
Optimization 2017
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Convergence Rate Analysis of Projected Stochastic Subgradient Method Using Conjugate Gradient-like Direction Reviewed
Linear and Nonlinear Analysis 2017
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Modification of the Krasnosel'skii-Mann Fixed Point Algorithm by Using Three-term Conjugate Gradients Reviewed
Linear and Nonlinear Analysis 2017
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Convergence Analysis of Iterative Methods for Nonsmooth Convex Optimization over Fixed Point Sets of Quasi-Nonexpansive Mappings Reviewed International journal
Hideaki Iiduka
Mathematical Programming 159 ( 1-2 ) 509 - 538 2016
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Optimization for Inconsistent Split Feasibility Problems Reviewed International journal
Numerical Functional Analysis and Optimization 2016
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Proximal Point Algorithms for Nonsmooth Convex Optimization With Fixed Point Constraints Reviewed International journal
European Journal of Operational Research 2016
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Incremental Subgradient Method for Nonsmooth Convex Optimization With Fixed Point Constraints Reviewed International journal
Optimization Methods and Software 2016
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Line Search Fixed Point Algorithms Based on Nonlinear Conjugate Gradient Directions: Application to Constrained Smooth Convex Optimization Reviewed International journal
Fixed Point Theory and Applications 2016
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On Acceleration of the Krasnosel’skii-Mann Fixed Point Algorithm Based on Conjugate Gradient Method for Smooth Optimization Reviewed
Kazuhiro Hishinuma, Hideaki Iiduka
Journal of Nonlinear and Convex Analysis 16 ( 11 ) 2243 - 2254 2015
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Parallel Subgradient Method for Nonsmooth Convex Optimization With a Simple Constraint Reviewed
2015
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Distributed Convex Optimization Algorithms and Their Application to Distributed Control in Peer-to-Peer Data Storage System Reviewed
Journal of Nonlinear and Convex Analysis 2015
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Parallel Optimization Algorithm for Smooth Convex Optimization over Fixed Point Sets of Quasi-Nonexpansive Mappings Reviewed
Journal of the Operations Research Society of Japan 2015
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Acceleration Method for Convex Optimization over the Fixed Point Set of a Nonexpansive Mapping Reviewed International journal
Hideaki Iiduka
Mathematical Programming 149 ( 1-2 ) 131 - 165 2015
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Parallel Computing Subgradient Method for Nonsmooth Convex Optimization over the Intersection of Fixed Point Sets of Nonexpansive Mappings Reviewed International journal
Hideaki Iiduka
Fixed Point Theory and Applications 1 - 17 2015
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Convex Optimization over Fixed Point Sets of Quasi-Nonexpansive and Nonexpansive Mappings in Utility-Based Bandwidth Allocation Problems With Operational Constraints Reviewed International journal
Hideaki Iiduka
Journal of Computational and Applied Mathematics 282 225 - 236 2015
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Modeling User Behavior in P2P Data Storage System Reviewed
Masato Uchida, Hideaki Iiduka, Isao Sugino
IEICE Transactions on Communications E98-B ( 1 ) 33 - 41 2015
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Approximate Solutions to Variational Inequality over the Fixed Point Set of a Strongly Nonexpansive Mapping Reviewed International journal
Shigeru Iemoto, Kazuhiro Hishinuma, Hideaki Iiduka
Fixed Point Theory and Applications 2014
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Acceleration of the Halpern Algorithm to Search for a Fixed Point of a Nonexpansive Mapping Reviewed International journal
Kaito Sakurai, Hideaki Iiduka
Fixed Point Theory and Applications 2014
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Acceleration Method Combining Broadcast and Incremental Distributed Optimization Algorithms Reviewed International journal
SIAM Journal on Optimization 2014
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Distributed Iterative Methods for Solving Nonmonotone Variational Inequality over the Intersection of Fixed Point Sets of Nonexpansive Mappings Reviewed
Hideaki Iiduka
Pacific Journal of Optimization 10 ( 4 ) 691 - 713 2014
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Multicast Decentralized Optimization Algorithm for Network Resource Allocation Problems Reviewed
Hideaki Iiduka
Journal of Nonlinear and Convex Analysis 14 ( 4 ) 817 - 839 2013
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FIXED POINT OPTIMIZATION ALGORITHMS FOR DISTRIBUTED OPTIMIZATION IN NETWORKED SYSTEMS
Hideaki Iiduka
SIAM JOURNAL ON OPTIMIZATION 23 ( 1 ) 1 - 26 2013
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Conjugate gradient methods using value of objective function for unconstrained optimization
Hideaki Iiduka, Yasushi Narushima
OPTIMIZATION LETTERS 6 ( 5 ) 941 - 955 2012.6
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Fixed point optimization algorithm and its application to power control in CDMA data networks
Hideaki Iiduka
MATHEMATICAL PROGRAMMING 133 ( 1-2 ) 227 - 242 2012.6
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Fixed point optimization algorithm and its application to network bandwidth allocation
Hideaki Iiduka
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 236 ( 7 ) 1733 - 1742 2012.1
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Unicast Decentralized Algorithm for Solving Centralized Optimization Problems in Network Resource Allocation
Hideaki Iiduka
Journal of Nonlinear and Convex Analysis 13 ( 1 ) 31-48 - 48 2012.1
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ITERATIVE ALGORITHM FOR TRIPLE-HIERARCHICAL CONSTRAINED NONCONVEX OPTIMIZATION PROBLEM AND ITS APPLICATION TO NETWORK BANDWIDTH ALLOCATION
Hideaki Iiduka
SIAM JOURNAL ON OPTIMIZATION 22 ( 3 ) 862 - 878 2012
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COMPUTATIONAL METHOD FOR SOLVING A STOCHASTIC LINEAR-QUADRATIC CONTROL PROBLEM GIVEN AN UNSOLVABLE STOCHASTIC ALGEBRAIC RICCATI EQUATION
Hideaki Iiduka, Isao Yamada
SIAM JOURNAL ON CONTROL AND OPTIMIZATION 50 ( 4 ) 2173 - 2192 2012
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Decentralized Algorithm for Centralized Variational Inequalities in Network Resource Allocation
Hideaki Iiduka
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 151 ( 3 ) 525 - 540 2011.12
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Fixed Point Optimization Methods and Their Applications to Network Resource Allocation Problems
Iiduka Hideaki, Uchida Masato
Bulletin of the Japan Society for Industrial and Applied Mathematics 21 ( 3 ) 6-21 - 185 2011.9
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Fixed Point Optimization Algorithms for Network Bandwidth Allocation Problems with Compoundable Constraints
Hideaki Iiduka, Masato Uchida
IEEE COMMUNICATIONS LETTERS 15 ( 6 ) 596 - 598 2011.6
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Three-term conjugate gradient method for the convex optimization problem over the fixed point set of a nonexpansive mapping
Hideaki Iiduka
APPLIED MATHEMATICS AND COMPUTATION 217 ( 13 ) 6315 - 6327 2011.3
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Iterative Algorithm for Solving Triple-Hierarchical Constrained Optimization Problem
Hideaki Iiduka
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 148 ( 3 ) 580 - 592 2011.3
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On an Ergodic Iteration Method for the Convex Optimization Problem over the Fixed Point Set
Hideaki Iiduka
Pacific Journal of Optimization 6 ( 1 ) 187-199 - 199 2010.1
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A new iterative algorithm for the variational inequality problem over the fixed point set of a firmly nonexpansive mapping
Hideaki Iiduka
OPTIMIZATION 59 ( 6 ) 873 - 885 2010
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Strong convergence for an iterative method for the triple-hierarchical constrained optimization problem
Hideaki Iiduka
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 ( 12 ) E1292 - E1297 2009.12
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Projection Method for Variational Inequality Problems for Monotone Operators
Proceedings of the Asian Conference on Nonlinear Analysis and Optimization 87-95 2009.7
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An ergodic algorithm for the power-control games for CDMA data networks
Hideaki Iiduka, Isao Yamada
Journal of Mathematical Modelling and Algorithms 8 ( 1 ) 1 - 18 2009.3
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Hybrid Conjugate Gradient Method for a Convex Optimization Problem over the Fixed-Point Set of a Nonexpansive Mapping
H. Iiduka
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 140 ( 3 ) 463 - 475 2009.3
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A subgradient-type method for the equilibrium problem over the fixed point set and its applications
Hideaki Iiduka, Isao Yamada
OPTIMIZATION 58 ( 2 ) 251 - 261 2009
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A USE OF CONJUGATE GRADIENT DIRECTION FOR THE CONVEX OPTIMIZATION PROBLEM OVER THE FIXED POINT SET OF A NONEXPANSIVE MAPPING
Hideaki Iiduka, Isao Yamada
SIAM JOURNAL ON OPTIMIZATION 19 ( 4 ) 1881 - 1893 2009
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Strong convergence studied by a hybrid type method for monotone operators in a Banach space
Hideaki Iiduka, Wataru Takahashi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 68 ( 12 ) 3679 - 3688 2008.6
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Weak convergence of a projection algorithm for variational inequalities in a Banach space
Hideaki Iiduka, Wataru Takahashi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 339 ( 1 ) 668 - 679 2008.3
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Relations between Equations of Set-valued Operators and Equilibrium Problems
Wataru Takahashi
Proceedings of Nonlinear Analysis and Convex Analysis 163-172 2007.11
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Strong Convergence of Halpern's Sequence for Accretive Operators in a Banach Space
Koji Aoyama, Wataru Takahashi
PanAmerican Mathematical Journal 17 ( 3 ) 75-89 2007.9
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Strong Convergence Theorem by a Hybrid Method for Nonlinear Mappings of Nonexpansive and Monotone Type and Applications
Wataru Takahashi
Advances in Nonlinear Variational Inequalities 9 ( 1 ) 1-10 2006.1
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Weak Convergence Theorems by Cesaro Means for Nonexpansive Mappings and Inverse-strongly Monotone Mappings
Wataru Takahashi
Journal of Nonlinear and Convex Analysis 7 ( 1 ) 105-113 - 113 2006.1
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Weak convergence of an iterative sequence for accretive operators in Banach spaces
Koji Aoyama, Hideaki Iiduka, Wataru Takahashi
FIXED POINT THEORY AND APPLICATIONS 2006 ( 35390 ) 13 pages 2006
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Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
H Iiduka, W Takahashi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 61 ( 3 ) 341 - 350 2005.5
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Strong and Weak Convergence Theorems by a Hybrid Steepest Descent Method in a Hilbert Space
Wataru Takahashi
Proceedings of Nonlinear Analysis and Convex Analysis 115-130 2004.10
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Approximation of Solutions of Variational Inequalities for Monotone Mappings
Wataru Takahashi, Masashi Toyoda
PanAmerican Mathematical Journal 14 ( 2 ) 49-61 2004.6
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Strong Convergence Theorems for Nonexpansive Nonself-mappings and Inverse-strongly Monotone Mappings
Wataru Takahashi
Journal of Convex Analysis 11 ( 1 ) 69-79 - 79 2004.6
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Strong convergence theorems for nonexpansive nonself-mappings and inverse-strongly-monotone mappings
H Iiduka, W Takahashi
JOURNAL OF CONVEX ANALYSIS 11 ( 1 ) 69 - 79 2004
Books
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機械学習のための数学
飯塚秀明（ Role： Sole author）
コロナ社 2024
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連続最適化アルゴリズム
飯塚秀明（ Role： Sole author）
オーム社 2023
MISC
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AOYAMA Koji, IIDUKA Hideaki, TAKAHASHI Wataru
RIMS Kokyuroku 1484 59 - 68 2006.4
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Convergence theorems for nonexpansive mappings and monotone mappings with applications
Wataru Takahashi, Hideaki Iiduka
RIMS Kohkyuroku 1298 110 - 122 2002
Presentations
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複雑制約付き凸最適化とその応用 –不動点理論で端緒を開く– Invited
日本オペレーションズ・リサーチ学会 2019年秋季研究発表会 2019.9
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Fixed Point Algorithms and Their Applications Invited International conference
The International Conference on Nonlinear Analysis and Convex Analysis–International Conference on Optimization: Techniques and Applications 2019.8
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Decentralized Optimization and Its Applications Invited International conference
The 6th Asian Conference on Nonlinear Analysis and Optimization 2018.11
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不動点制約付き非平滑凸最適化とその応用 Invited
日本オペレーションズ・リサーチ学会 数理計画研究部会 第29回RAMPシンポジウム 2017.10
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マルチキャリアシステムに関する共役勾配方向を用いたProportional Fair スケジューラ
内田真人, 鶴正人, 角田邦真
第21回RAMP (Research Association of Mathematical Programming) シンポジウム 2009.9 日本オペレーションズ・リサーチ学会
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Iterative Methods for Variational Inequality Problems over Fixed Point Sets
2008.12
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Iterative Algorithms for the Hierarchical Optimization Problem
Fifth World Congress of Nonlinear Analysts 2008.7
Awards
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日本オペレーションズ・リサーチ学会 フェロー
2021.3
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第9回 日本オペレーションズ・リサーチ学会 研究賞
2019.9 公益社団法人 日本オペレーションズ・リサーチ学会
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第4回 日本オペレーションズ・リサーチ学会 研究賞 奨励賞
2014.8 公益社団法人 日本オペレーションズ・リサーチ学会
Research Projects
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汎化性能を改善するための不動点オプティマイザに基づいた深層学習法
Grant number：24K1484 2024.3 - 2027.3
基盤研究 (C)
Authorship：Principal investigator
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リーマン不動点最適化アルゴリズムと機械学習への応用
Grant number：21K1177 2021.4 - 2024.3
基盤研究 (C)
Authorship：Principal investigator
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Stochastic Fixed Point Optimization Algorithm and Its Application to Ensemble Learning
Grant number：18K11184 2018.4 - 2021.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Iiduka Hideaki
Authorship：Principal investigator
Grant amount：\3510000 （ Direct Cost: \2700000 、 Indirect Cost：\810000 ）
We consider a classifier ensemble problem with sparsity and diversity learning and show that the problem can be formulated as a stochastic optimization problem with fixed point constraint. For such a problem, we propose an algorithm referred to as the stochastic fixed point optimization algorithm and perform a convergence analysis for three types of learning rate: constant learning rate, decreasing learning rate, and a learning rate computed by line searches. In the case of a constant learning rate, the results indicate that a sufficiently small constant learning rate allows a solution to the problem to be approximated. In the case of a decreasing learning rate, conditions are shown under which the algorithm converges to a solution. For the third case, a variation of the proposed algorithm also achieves convergence to a solution. The high classification accuracies of the proposed algorithms are demonstrated through numerical comparisons with the conventional algorithm.
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Distributed Fixed Point Subgradient Methods for Solving Large-scale, Complicated Network Resource Allocation Problems
Grant number：15K04763 2015.4 - 2018.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
IIDUKA HIDEAKI, HISHINUMA Kazuhiro
Authorship：Principal investigator
Grant amount：\3900000 （ Direct Cost: \3000000 、 Indirect Cost：\900000 ）
We formulated large-scale, complicated network resource allocation problems as a distributed optimization problem over fixed point sets of nonexpansive mappings and devised acceleration methods for solving the problem. We showed that the methods converge to a solution to the problem under certain assumptions. We numerically compared the proposed methods with the conventional ones. The numerical experiments demonstrated the effectiveness and optimality of the proposed methods.
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Decentralized Fixed Point Optimization Algorithms for Network Resource Allocation Problems
Grant number：23760077 2011.4 - 2013.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
IIDUKA Hideaki
Grant amount：\3510000 （ Direct Cost: \2700000 、 Indirect Cost：\810000 ）
We formulated network resource allocation problems such as bandwidth and storage allocation as an optimization problem over the fixed point set and devised decentralized fixed point optimization algorithms for solving the problem. We proved that the algorithms converge to a solution to the problem under certain conditions. We numerically compared them with conventional algorithms. The numerical examples demonstrated the effectiveness of the proposed algorithms.
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Fixed point optimization algorithm and its application to linear-quadratic control problems
Grant number：21760062 2009.4 - 2011.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
IIDUKA Hideaki
Grant amount：\3510000 （ Direct Cost: \2700000 、 Indirect Cost：\810000 ）
We devised an iterative algorithm, called a fixed point optimization algorithm, for solving a linear-quadratic control problem, which is one of the central issues in optimal control and conducted a convergence analysis on the algorithm. We also applied the algorithm to concrete network resource allocation problems such as power and bandwidth allocation and provided numerical examples for these problems. The numerical examples showed the effectiveness of the algorithm. The proposed algorithm may be modified to work for large-scale and complex system networks with incompleteness and asymmetry.
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均衡問題に関する逐次アルゴリズムとパワーコントロールへの応用
Grant number：07J01979 2007.4 - 2009.3
日本学術振興会 特別研究員奨励費 特別研究員奨励費
飯塚 秀明
Grant amount：\2200000 （ Direct Cost: \2200000 ）
既存の電力制御問題では、基地局から遠く離れたユーザーは最低限のサービスさえ得られる保証がない。その問題点を解消するために、平成19年度では、「すべてのユーザーが十分なサービスを得ることができる電力制御問題」の提案をした。既存の電力制御問題の戦略集合にすべてのユーザーが最低限の品質を得られるような新たな条件を加えることで問題を導入することができている。しかしながら、新たな条件を与えたために、この問題の解明は大変困難なものになった。平成19年度では、この電力制御問題を解くための逐次アルゴリズムと問題の解への収束性について提案している。しかしながら、このアルゴリズムは「平均手法」を利用しているため、計算時間量が大変多くなり、実用性の観点から見て理想的とは言えない。
平成20年度では、平均手法の問題点を解消することができるアルゴリズムを提案することができた。提案アルゴリズムは「平均手法」の代わりに「凸結合」を利用しており、計算量を大幅に減少させることに成功している。提案アルゴリズムに関する解への収束性についても数学的に証明することができている。これらの結果は応用数学や数理工学の観点から見ても新しくまた画期的でもある。この結果やそれに至るまでのアイデアは、「ロバスト制御」や「ネットワーク制御」といった実践的な工学の諸問題を解決する上で本質的な部分を占めており、今後の研究の基礎部分を構築することができる。
Social Activities
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Editorial Board of The Scientific World Journal
2013.4
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Program Committee of International Symposium on Intelligent Informatics
2013.4
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Editorial Board of Journal of Applied Mathematics and Computing
2013.4
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Program Committee of Workshop on Computational Optimization
2012.4
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Editorial Board of Algorithm Letters
2012.4
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Program Committee of Workshop on Information Network Design
2009.4 - 2011.3
Media Coverage
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Editorial Board of Numerical Algorithms
2019
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Editorial Board of Electronics
2019
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Editorial Board of Applied Set-Valued Analysis and Optimization
2019
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Editorial Board of Advances in the Theory of Nonlinear Analysis and its Applications
2018
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Editorial Board of Journal of Nonlinear Functional Analysis
2017
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Editorial Board of International Journal of Statistics: Advances in Theory and Applications
2016
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Editorial Board of Pacific Journal of Optimization
2016
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Editorial Board of Linear and Nonlinear Analysis
2015
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Editorial Board of Journal of Fixed Point Theory
2013
Academic Activities
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International Program Committee of 12th Asian Conference on Fixed Point Theory and Optimization 2025 (ACFPTO2025)
Role(s)： Planning, management, etc.
2025
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International Program Committee of 11th Asian Conference on Fixed Point Theory and Optimization 2023 (ACFPTO2023)
Role(s)： Planning, management, etc.
2023
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Scientific Committee of International Conference on Nonlinear Analysis and Convex Analysis and International Conference on Optimization: Techniques and Applications (NACA-ICOTA2019)
Role(s)： Planning, management, etc.
2019
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