- 2018 - 2025 数理計画問題に内在する大域的性質に基づく多項式時間アルゴリズムの構築
- 2016 - 2019 Computational Combinatorial Physics by Harmonizing Matroid Theory and Quantum Physics
- 2014 - 2018 Development of pivoting algorithms based on global structure of linear programming
- 2014 - 2017 Exploiting Matroid Minor Theory and Its Connection with Quantum Computing Models
- 2013 - 2015 線形相補性問題の計算限界への挑戦
- 2011 - 2013 Analysis on history-based pivot rules of linear programming
- 2008 - 2010 Analysis on polytopal structure of mathematical programs
- 2006 - 2007 幾何的実現を与える組合せ構造の性質の探求と解析
- 2005 - 2007 Optimization via Quantum Information Combinatorics and Its Applications to Extend Fundamentals of Quantum Information Science and Technology
- 2001 - 2004 Advanced Geometric Algorithms Based on Discrete Analysis of Information-Geometric Structures with Applications
- 2003 - 2003 幾何構造を記述する組合せ構造
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