| Hayato Waki | Last modified date：2024.04.15 |
Associate Professor /
Division of Applied Mathematics /
Institute of Mathematics for Industry
Papers
| 1. | Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki, Exact convergence rates of alternating projections for nontransversal intersections, Japan Journal of Industrial and Applied Mathematics, https://doi.org/10.1007/s13160-023-00584-9, 2023.05, [URL]. |
| 2. | Y. Ebihara, H. Waki, N. Sebe, V. Magron, D. Peaucelle, and S. Tarbouriech, L2+ Induced Norm Analysis of Continuous-Time LTI Systems Using Positive Filters and Copositive Programming, Proc. of the 20th European Control Conference, 2022.09. |
| 3. | Y. Ebihara, H. Waki, V. Magron, N. H. A. Mai, D. Peaucelle, and S. Tarbouriech, Stability Analysis of Recurrent Neural Networks by IQC with Copositive Multipliers, 2021 60th IEEE Conference on Decision and Control (CDC), 10.1109/CDC45484.2021.9683530, 2022.02, [URL]. |
| 4. | Y. Ebihara, H. Waki, V. Magron, N. H. A. Mai, D. Peaucelle, and S. Tarbouriech, l2 Induced Norm Analysis of Discrete-Time LTI Systems for Nonnegative Input Signals and Its Application to Stability Analysis of Recurrent Neural Networks, Proc. of the 19th European Control Conference, 2021.09. |
| 5. | Yoshio Ebihara, Hayato Waki, Victor Magron, Ngoc Hoang Anh Mai, Dimitri Peaucelle, Sophie Tarbouriech, ell_2 induced norm analysis of discrete-time LTI systems for nonnegative input signals and its application to stability analysis of recurrent neural networks, European Journal of Control, https://doi.org/10.1016/j.ejcon.2021.06.022, 2021.07, [URL]. |
| 6. | Yoshiyuki Sekiguchi, Hayato Waki, Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems, Journal of Optimization Theory and Applications, https://doi.org/10.1007/s10957-020-01780-0, 2020.11. |
| 7. | Hayato Waki, Yoshio Ebihara, Noboru Sebe, Reduction of SISO H-infinity Output Feedback Control Problem, Linear algebra and its applications, 2020.10, [URL]. |
| 8. | Hayato Waki, Noboru Sebe, Characterization of the dual problem of linear matrix inequality for H-infinity output feedback control problem via facial reduction, Mathematics of Control, Signals, and Systems, https://doi.org/10.1007/s00498-020-00261-z, 32, 361-384, 2020.07, [URL]. |
| 9. | Yoshio Ebihara, Noboru Sebe, Hayato Waki, On Gain-Scheduled State-Feedback Controller Synthesis With Quadratic Stability Condition, IEEE Control Systems Letters, 10.1109/LCSYS.2020.2991480, 4, 3, 662-667, 2020.07, [URL]. |
| 10. | Hayato Waki, Noboru Sebe, Reduction of H-infinity state feedback control problems for the MIMO servo systems, Asian Journal of Control, 10.1002/asjc.1985, 22, 3, 1025-1037, 2020.05, [URL]. |
| 11. | Hayato Waki, Positive Definiteness in Linear Matrix Inequality Problem for H-infinity Output Feedback Control Problem, IEEE Control Systems Letters, DOI:/10.1109/LCSYS.2019.2898385, 3, 2, 446-451, 2019.04, [URL].  |
| 12. | Hayato Waki, Noboru Sebe, Application of Facial Reduction to $H_\infty$ State Feedback Control Problem, International Journal of Control, http://dx.doi.org/10.1080/00207179.2017.1351625, 92, 2, 303-316, 2019.04, [URL]. |
| 13. | Keiji Kimura, Hayato Waki, Minimization of Akaike's information criterion in linear regression analysis via mixed integer nonlinear program, Optimization Methods and Software, http://dx.doi.org/10.1080/10556788.2017.1333611, 33, 3, 633-649, Mathematical Optimization at the 5th International Conference on Mathematical Software, 11-14 July 2016, Berlin, Germany, 2018.05, [URL]. |
| 14. | Hayato Waki, Noboru Sebe, Strong feasibility of the dual problem of linear matrix inequality for H-infinity output feedback control problem, Proceedings of SICE International Symposium on Control Systems 2018, 10.23919/SICEISCS.2018.8330155, 47-53, 2018.03. |
| 15. | Hayato Waki, Noboru Sebe, Reduction of H-infinity state feedback control problems for the servo systems, Proceedings of 2017 11th Asian Control Conference (ASCC), 10.1109/ASCC.2017.8287524, 2244-2249, 2017.12. |
| 16. | Keiji Kimura, Hayato Waki, Masaya Yasuda, Application of mixed integer quadratic program to shortest vector problems, JSIAM Letters, 9, 65-68, 2017.09, [URL]. |
| 17. | Hayato Waki, Florin Nae, Boundary modeling in model-based calibration for automotive engines via the vertex representation of the convex hulls, Pacific Journal of Mathematics for Industry, 10.1186/s40736-016-0027-7, 9, 1, 2017.01, [URL], 2014年度に実施したIMI短期共同研究「境界モデル手法の研究」及び, 2015年度に実施したIMI短期共同研究「数学・数理科学の視点からのエンジン適合の研究」の成果の一部に相当し, 自動車エンジンの開発過程の一つである境界モデリングに関して最適化技術を用いて効率化を実現した.. |
| 18. | Hayato Waki, Yoshio Ebihara, Noboru Sebe, Reduction of SDPs in H∞ control of SISO systems and performance limitations analysis, IEEE 55th Conference on Decision and Control (CDC), 2016, 10.1109/CDC.2016.7798342, 2016.12, [URL]. |
| 19. | Yoshio Ebihara, Hayato Waki, Noboru Sebe, Dual LMI approach to H∞ performance limitation analysis of sensitivity and complementary sensitivity functions, 2016 IEEE Conference on Computer Aided Control System Design (CACSD), 10.1109/CACSD.2016.7602558, 1440-1445, 2016.09, [URL]. |
| 20. | Keiji Kimura, Hayato Waki, Mixed Integer Nonlinear Program for Minimization of Akaike’s Information Criterion, 5th International Conference, Berlin, Germany, July 11-14, 2016, DOI: 10.1007/978-3-319-42432-3_36, 9752, 292-300, 2016.07, [URL]. |
| 21. | Masakazu Muramatsu, Hayato Waki, Levent Tunçel, Perturbed sums-of-squares theorem for polynomial optimization and its applications, Optimization Methods and Software, DOI:10.1080/10556788.2015.1052969, 31, 1, 134-156, 2016.03. |
| 22. | Yoshi Ebihara, Hayato Waki, Noboru Sebe, H_infty performance limitations analysis for SISO systems: A dual LMI approach, 2015 54th IEEE Conference on Decision and Control (CDC), 10.1109/CDC.2015.7403263, 6629-6634, 2015.12, [URL]. |
| 23. | Hayato Waki, Noboru Sebe, Application of Facial Reduction to $H_¥infty$ State Feedback Control Problem, The 8th IFAC Robust Control Design (ROCOND 2015), doi:10.1016/j.ifacol.2015.09.443, 48, 14, 113-119, 2015.07. |
| 24. | Katsuki Fujisawa, Toshio Endo, Yuichiro Yasui, Hitoshi Sato, Naoki Matsuzawa, Satoshi Matsuoka, Hayato Waki, Peta-scale General Solver for Semidenite Programming Problems with over Two Million Constraints, Proceedings of the International Conference on Parallel and Distributed Processing Symposium 2014 (IPDPS2014), 10.1109/IPDPS.2014.121, 1171-1180, 2014.05, [URL]. |
| 25. | Takayuki Osogami, Tomoyuki Shirai, Hayato Waki, Remarks on positivity of alpha-determinants via SDP relaxation, Journal of Math-for-Industry, 5, A, 1-10, 2013.04. |
| 26. | Mirai Tanaka, Kazuhide Nakata, Hayato Waki, Numerical reduction method for doubly nonnegative optimization problems, Journal of Math-for-Industry, 5, A, 41-50, 2013.04. |
| 27. | Yoshiyuki Sekiguchi, Tomoyuki Takenawa, Hayato Waki, Real ideal and the duality of semidefinite programming for polynomial optimizaiton, Japan Journal of Industrial and Applied Mathematics, 10.1007/s13160.013-0104-6, 30, 321-330, 2013.04, [URL]. |
| 28. | Hayato Waki, How to generate weakly infeasible semidefinite programs via Lasserre's relaxations for polynomial optimization, OPTIMIZATION LETTERS, 10.1007/s11590-011-0384-1, 6, 8, 1883-1896, 2012.12. |
| 29. | Hayato Waki, Nakata, Maho, Muramatsu, Masakazu, Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization, Computational Optimization and Applications, 10.1007/s10589-011-9437-8, 53, 3, 823-844, 2012.12. |
| 30. | Mirai Tanaka, Kazuhide Nakata, Hayato Waki, Application of a facial reduction algorithm and an inexact primal-dual path-following mathod for doubly nonnegative relaxation for mixed binary nonconvex quadratic optimization problems, Pacific Journal of Optimization, 8, 4, 699-724, 2012.10. |
| 31. | Hayato Waki, Masakazu Muramatsu, Facial Reduction Algorithms for Conic Optimization Problems, Journal of Optimization Theory and Applications, DOI: 10.1007/s10957-012-0219-y, 158, 1, 188-215, 2013.07. |
| 32. | Sunyoung Kim, Masakazu Kojima, Hayato Waki, Makato Yamashita, Algorithm 920: SFSDP: A Sparse Version of Full Semidefinite Programming Relaxation for Sensor Network Localization Problems, Transactions on Mathematical Software, 10.1145/2331130.2331135, 38, 4, 2012.08. |
| 33. | Hayato Waki, Masakazu Muramatsu, An extension of the elimination method for a sparse SOS polynomial, Journal of the Operations Research Society of Japan, 54, 4, 161--190, 2011.12, [URL]. |
| 34. | Hayato Waki, Masakazu Muramatsu, A Facial Reduction Algorithm for Finding Sparse SOS representations, Operations Research Letters, http://dx.doi.org/10.1016/j.orl.2010.05.011, 38, 5, 361--365, 2010.09, [URL]. |
| 35. | Hayato Waki, Masakazu Muramatsu, Masakazu Kojima, INVARIANCE UNDER AFFINE TRANSFORMATION IN SEMIDEFINITE PROGRAMMING RELAXATION FOR POLYNOMIAL OPTIMIZATION PROBLEMS, Pacific Journal of Optimization, 5, 2, 297-312, 2009.05. |
| 36. | Kim, Sunyoung, Kojima, Masakazu, Hayato Waki, EXPLOITING SPARSITY IN SDP RELAXATION FOR SENSOR NETWORK LOCALIZATION, 10.1137/080713380, 20, 1, 192-215, 2009.04. |
| 37. | Hayato Waki, Sunyoung Kim, Masakazu Kojima, Masakazu Muramatsu, Hiroshi Sugimoto, Algorithm 883: SparsePOP -- a Sparse Semidefinite Programming Relaxation of Polynomial Optimization Problems, ACM Transactions on Mathematical Software, http://doi.acm.org/10.1145/1377612.1377619, 15, 2, 15:1--15:13, 2008.07. |
| 38. | Hayato Waki, Sunyoung Kim, Masakazu Kojima, Masakazu Muramatsu, Sums of Squares and Semidefinite Programming Relaxations for Polynomial Optimization Problems with Structured Sparsity, SIAM Journal on Optimization, http://dx.doi.org/10.1137/050623802, 17, 1, 218-242, 2006.05. |
| 39. | Masakazu Kojima, Sunyoung Kim, Hayato Waki, Sparsity in sums of squares of polynomials, Mathematical Programming, 10.1007/s10107-004-0554-3, 103, 1, 45-62, 2005.05. |
| 40. | Masakazu Kojima, Sunyoung Kim, Hayato Waki, A General Framework for Convex Relaxation of Polynomial Optimization Problems over Cones, Journal of Operations Research Society of Japan, 46, 2, 125-144, [URL]. |
| 41. | Sunyoung Kim, Masakazu Kojima, Hayato Waki, Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems, SIAM Journal on Optimization, 10.1137/030601260, 15, 3, 697-719, 2005.04. |
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