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J-GLOBAL ID:200901074634811097
Update date: Apr. 04, 2025 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
- 2014 - 2018 Development of machine learning algorithms based on discrete convex analysis
- 2014 - 2018 Discrete structures and algorithms for multiflow, facility location, and network design
- 2011 - 2013 Theory and algorithm of multiflow, facility location, and network design
- 2008 - 2012 Developments of the Fundamental Theory of Discrete Optimization andFast Algorithms Based on Submodular Structures
- 2008 - 2010 Multiflows and metrics
- 2004 - 2007 Analysis of Large-scale Discrete Optimization Problems and Development of Efficient Algorithms Based on Submodularity Structures
- 2005 - 2006 離散凸解析と離散距離空間の研究
Show all
Papers (64): -
Hiroshi Hirai, Ryosuke Sato. Polyhedral Clinching Auctions for Indivisible Goods. ACM Transactions on Economics and Computation. 2025. 13. 1. 1-30
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Jérémie Chalopin, Victor Chepoi, Anthony Genevois, Hiroshi Hirai, Damian Osajda. Helly groups. Geometry and Topology. 2025. 29. 1. 1-70
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Hiroshi Hirai, Yuni Iwamasa, Taihei Oki, Tasuku Soma. Algebraic combinatorial optimization on the degree of determinants of noncommutative symbolic matrices. Mathematical Programming. 2024
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Koyo Hayashi, Hiroshi Hirai, Keiya Sakabe. Finding Hall Blockers by Matrix Scaling. Mathematics of Operations Research. 2024. 49. 4. 2166-2179
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Hiroshi Hirai, Keiya Sakabe. Gradient descent for unbounded convex functions on Hadamard manifolds and its applications to scaling problems. FOCS. 2024. 2387-2402
more... 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
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Hiroshi Hirai. Discrete convex functions on graphs and their algorithmic applications. Combinatorial Optimization and Graph Algorithms: Communications of NII Shonan Meetings. 2017. 67-100
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Discrete convex function on graph structure and its application. 2014. 92. 59-64
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平井 広志. T_X-approaches to multiflows and metrics. RIMS Kokyrurok Bessatsu. 2010. B23. 107-130
Lectures and oral presentations (23): -
A scaling characterization of nc-rank via unbounded gradient flow
(OT勉強会1 2025)
-
距離空間の tight span について
(Magnitude 2024 2025)
-
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)
more... 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): - Doctor of Science (Kyoto University)
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): 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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