Hirai Hiroshi

ヒライヒロシ | Hirai Hiroshi

Affiliation and department：
Job title： Professor
Homepage URL (1)： https://www.math.nagoya-u.ac.jp/~hirai.hiroshi/index.html

Research field (3)： Mathematical informatics , Applied mathematics and statistics , Basic mathematics

Research keywords (3)： optimization , algorithm , 離散数学

Research theme for competitive and other funds (12)：

2024 - 2030 非正曲率空間上の次世代凸最適化
2021 - 2024 Auction design for two-sided markets: an approach from discrete optimization
2019 - 2023 新しい凸性に基づくアルゴリズムと最適化理論
2017 - 2021 Exploring novel discrete convexity in discrete optimization and designing high performance algorithms based on it
2013 - 2019 Developments of discrete optimization theory and efficient algorithms based on submodular structures

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Papers (62)：

Hiroshi Hirai, Yuni Iwamasa, Taihei Oki, Tasuku Soma. Algebraic combinatorial optimization on the degree of determinants of noncommutative symbolic matrices. Mathematical Programming. 2024
Koyo Hayashi, Hiroshi Hirai, Keiya Sakabe. Finding Hall Blockers by Matrix Scaling. Mathematics of Operations Research. 2024. 49. 4. 2166-2179
Hiroshi Hirai, Keiya Sakabe. Gradient descent for unbounded convex functions on Hadamard manifolds and its applications to scaling problems. FOCS. 2024. 2387-2402
Hiroshi Hirai. Convex Analysis on Hadamard Spaces and Scaling Problems. Foundations of Computational Mathematics. 2024. 24. 1979-2016
Koyo Hayashi, Hiroshi Hirai. Two Flags in a Semimodular Lattice Generate an Antimatroid. Order. 2024. 41. 2. 463-470

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MISC (4)：

平井広志. CAT(0)空間上のアルゴリズムと最適化について. 電子情報通信学会誌. 2018. 101. 3
Hiroshi Hirai. Discrete convex functions on graphs and their algorithmic applications. Combinatorial Optimization and Graph Algorithms: Communications of NII Shonan Meetings. 2017. 67-100
Discrete convex function on graph structure and its application. 2014. 92. 59-64
平井広志. T_X-approaches to multiflows and metrics. RIMS Kokyrurok Bessatsu. 2010. B23. 107-130

Lectures and oral presentations (21)：

行列スケーリングから非正曲率空間上の測地凸最適化へ
(最適化・計算機科学・代数幾何 2024)
非正曲率空間のアルゴリズムと最適化について
(名古屋大学多元数理科学研究科大談話会 2023)
行列スケーリングから非正曲率空間上の測地的凸最適化へ
(第35回 RAMP 数理最適化シンポジウム (RAMP 2023) 2023)
Interior point methods on manifolds: theory and applications
(ICIAM2023, Mini-symposium "Advances in Optimization II", 早稲田大学 2023)
Finding Hall blockers by matrix scaling
(Fifth Conference on Optimization and Machine Learning (DOxML), 政策研究大学院大学(GRIPS) 2023)

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Education (2)：

2002 - 2004 The University of Tokyo
2000 - 2002 The University of Tokyo The Faculty of Engineering Department of Mathematical Engineering and Information Physics

Professional career (1)：

Work history (4)：

2023/05 - 現在 Nagoya University Graduate School of Mathematics Professor
2014/04 - 2023/05 The University of Tokyo The Graduate School of Information Science and Technology, Department of Mathematical Informatics
2010/11 - 2014/03 The University of Tokyo The Graduate School of Information Science and Technology, Department of Mathematical Informatics
2004/04 - 2010/10 Kyoto University Research Institute for Mathematical Sciences

Committee career (2)：

2021/01 - 現在 SIAM Journal on Applied Algebra and Geometry (SIAGA) Associate Editor
2019/04 - 現在日本応用数理学会離散システム研究部会主査

Awards (7)：

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Association Membership(s) (2)：

日本オペレーションズリサーチ学会 , THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS

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