Associate Professor
hirao(AT)ist.aichi-pu.ac.jp (with (AT) replaced by @)
School of Information and Science Technology,
1522-3 Ibaragabasama, Nagakute, Aichi 480-1198, Japan
Online Combinatorial Design Seminar
Workshop on Statistical Designs and Related Combinatorics 2014 (2014-Dec-13~15)
The Theory of quasi-Monte Carlo and Operations Research Applications (2017-Sep-16)
The 5th Taiwan-Japan Conference on Combinatorics and its Applications (5th TJCCA) (2018-Mar-28~30)
Mar. 2004 -- Bachelor of the Department of Mathematics in the School of Science, Nagoya University
Mar. 2006 -- Master of Information Science in Graduate School of Information Science, Nagoya University
Mar. 2010 -- Doctor of Information Science in Graduate School of Information Science, Nagoya University
Apr. 2010 - Mar. 2012 -- Postdoctoral researcher in Graduate School of Information Science, Nagoya University
Oct. 2010 - Mar. 2011 -- Part-time lecturer in Aichi University of Education
Apr. 2011 - Mar. 2012 -- Part-time lecturer in Aichi Gakuin University
Apr. 2012 - Mar. 2014 -- Lecturer in Tokyo Woman's Christian University
Apr. 2014 - Mar. 2016 -- Lecturer in Aichi Prefectural University
Apr. 2016 - present -- Associate Professor in Aichi Prefectural University
Apr. 2022 - Mar. 2024 -- Part-time lecturer in Chubu University
Apr. 2024 - present -- Part-time lecturer in Nagoya University
Apr., 2013 - Mar., 2014 -- Grant in aid for Scientific Research (C) (確率解析とその微分作用素の研究への応用 (研究分担者))
Apr., 2013 - Mar., 2016 -- Grant in aid for Young Scientists (B) (Cubature公式の構成問題とその実験計画法への応用 (研究代表者))
Apr., 2016 - Mar., 2020 -- Grant in aid for Young Scientists (B) (行列式点過程を用いた積分近似理論の新構築，及びその応用 (研究代表者))
Apr., 2020 - Mar., 2024 -- Grant-in-Aid for Scientific Research (C) (球面デザイン，およびその近似デザインの構成法に関する研究 (研究代表者))
Apr., 2024 - present -- Grant-in-Aid for Scientific Research (C) (球面上のデザイン理論と方向統計学の融合 (研究代表者))
Apr., 2024 - present -- Grant-in-Aid for Scientific Research (C) (差集合族とラマヌジャングラフに基づく最大行列式値決定問題の新展開 (研究分担者))
Sep. 2009 - present -- Mathematical Society of Japan
Apr. 2012 - present -- Japan Statistical Society
Dec. 2013 - present -- The Japan Society for Industrial and Applied Mathematics
Oct. 2014 - present -- Operations Research Society of Japan
2013 - Excellent presentation award for Young researcher of JSIAM
2018 - Special award (DataStadium award) (The 7th Sports Data Analysis Competition with R. Maeda, Y. Senda(Aichi Prefectural Univ.), K. Koizumi(Yokohama City Univ.), T. Taniguchi(Hiroshima Insti. Tech.))
2019 - Poster award (The 8th Sports Data Analysis Competition with S. Koide, Y. Hoshino, K. Koizumi(Yokohama City Univ.), T. Taniguchi(Hiroshima Insti. Tech.))
1. K. Tanino, T. Tamaru, M. Hirao, M. Sawa, More on the corner-vector construction for spherical designs [arXiv]
1. M. Sawa, M. Hirao, S. Kageyama, Euclidean Design Theory, Springer, 2019
1. M. Hirao, M. Sawa, On minimal cubature formulae of small degree for spherically symmetric integrals, SIAM J. Numer. Anal. 47(4) (2009), 3195–3211
2. Ei. Bannai, Etsu. Bannai, M. Hirao, M. Sawa, Cubature formulas in numerical analysis and Euclidean tight designs, European J. Combin. 31(2) (2010), 423–441
3. M. Hirao, M. Sawa, Y. Zhou, Some remarks on Euclidean tight designs, J. Combin. Theory Ser. A 118(2) (2011), 634–640
4. M. Hirao, Large deviations for the radial processes of the Brownian motions on hyperbolic spaces, Statist. Probab. Lett. 81(11) (2011), 1561–1564
5. Ei. Bannai, Etsu. Bannai, M. Hirao, M. Sawa, On the existence of minimum cubature formulas for Gaussian measure on $\mathbf{R}^2$ of degree t supported by $[\frac{t}{4}]+1$ circles, J. Algebraic Combin. 35(1) (2012), 109–119
6. M. Hirao, M. Sawa, On minimal cubature formulae of odd degrees for circularly symmetric integrals, Adv. Geom. 12(3) (2012), 483–500
7. M. Hirao, H. Nozaki, M. Sawa, V. Vatchev, A new approach for the existence problem of minimal cubature formulas based on the Larman-Rogers-Seidel theorem, SIAM J. Numer. Anal. 50(5) (2012), 2716–2728 [arXiv]
8. M. Hirao, M. Sawa, M. Jimbo, Constructions of $\Phi_p$-optimal rotatable designs on the ball, Sankhya A, 77(1), (2014), 211--236
9. K. Matsubara, M. Hirao, S. Kageyama, The existence of 2 pairwise additive cyclic BIB designs with an even number of points, Bulletin of the ICA, 75 (2015), 91--94
10. M. Hirao, T. Okuda, M. Sawa, Some remarks on cubature formulas with linear operators, J. Math. Soc. Japan, 68(2) (2016), 711--735
11. M. Sawa, M. Hirao, Characterizing D-optimal rotatable designs with finite reflection groups, Sankhya A, 79(1), (2017), 101-–132
12. M. Ito, M. Hirao, H. Hamahara, A support system for nursery staff shift scheduling -A case study at a nursery school-, J. Inform. Process, 26(2018), 294--300
13. H. Yamamoto, M. Hirao, M. Sawa, A construction of the fourth order rotatable designs invariant under the hyperoctahedral group, J. Statist. Plann. Inference, 200(2019), 63--73
14. M. Hirao, M. Sawa, On almost tight Euclidean designs for rotationally symmetric integrals, Jpn. J. Stat. Data Sci., 2(2), (2019), 615--639
15. M. Hirao, Finite Frames, frame potentials and determinatal point processes on the sphere, Statist. Probab. Lett., 176C, (2021), 109129 [arXiv]
16. M. Hirao, On $p$-frame potentials of determinantal point processes on the sphere, JSIAM Lett., 13, (2021), 21--24
17. M. Sawa, M. Hirao, K. Ito, Geometric designs and rotatable designs I, Graphs Comb., 37, (2021), 1605-1651
18. M. Hirao, On $p$-frame potentials of the Beltrán and Etayo point processes on the sphere, JSIAM Lett., 15, (2023), 1--4
19. M. Hirao, H. Nozaki, K. Tasaka, Spherical designs and modular forms of the D4 lattice, Res. Number Theory, 9, (2023), 77 [arXiv]
1. M. Hirao, QMC designs and determinantal point processes, Monte Carlo and Quasi-Monte Carlo Methods 2016, P. Glynn and A. Owen, eds., Springer-Verlag., 2018, pp.331--343
2. M, Ito, M. Hirao, Shift Scheduling to Propose Improvement Plans for Staff Shortages: A Case Study of a Foster Home in Japan, Proceedings of 2019 Asian Conference of Management Science & Applications, 2019, pp. 199--203
3.Y. Namba, M. Ito, R. Takashima, M. Hirao, Nursery scheduling based on shift preference satisfaction, Proceedings of International Symposium on Scheduling 2021, 2021, pp. 60--65
1. M. Hirao, M. Sawa, M. Jimbo, Constructions of optimal designs and its related topics (最適計画の構成法とその関連した話題), RIMS Kokyuroku 1844(2013), 23-38
2. M. Hirao, M. Sawa, Characterizing optimum designs in terms of finite irreducible reflection groups (有限既約鏡映群による最適実験計画の分類について), Proceedings of Algebra and Computation 2013(2014), 50-57
3. H. Hirayama, H. Kato, S. Takeuchi, Y. Asai, T. Matsumoto, M. Hirao, K. Koizumi, T. Taniguchi, 育成を視野に入れた投手評価指標の提案, The Institutes of Statistical Mathematics Cooperative Research Report 380(2017), 23--26
4. R. Maeda, Y. Senda, M. Hirao, K. Koizumi, T. Taniguchi, 投手及び打者のクラスタリングに基づく対戦相性の解析, The Institutes of Statistical Mathematics Cooperative Research Report 398(2018), 51--56
5. M. Ito, M. Hirao, 児童養護施設の標準勤務表作成による職員不足改善策の提案, Proceedings of Scheduling Symposium 2018(2018), 157--162
6. M. Hirao, On spherical designs and recent topics (球面デザインの研究と最近の動向について), RIMS Kokyuroku 2167(2020), 61-74