論文

• Godai Azuma, Mituhiro Fukuda, Sunyoung Kim, Makoto Yamashita. Exact SDP relaxations for quadratic programs with bipartite graph structures, Journal of Global Optimization, Dec. 2022.
• Godai Azuma, Mituhiro Fukuda, Sunyoung Kim, Makoto Yamashita. Exact SDP relaxations of quadratically constrained quadratic programs with forest structures, Journal of Global Optimization, Vol. 82, pp. 243-262, Feb. 2022.

国際会議発表 (査読なし・不明)

• Godai Azuma*, Sunyoung Kim, Makoto Yamashita. High-rank Solution of Sum-of-Squares Relaxations for Exact Matrix Completion, The 25th International Symposium on Mathematical Programming, July 2024.
• Godai Azuma, Mituhiro Fukuda, Sunyoung Kim, Makoto Yamashita*. Tightness conditions of SDP relaxation for QCQPs with bipartite graph structure, 10th International Congress on Industrial and Applied Mathematics, Aug. 2023.
• Godai Azuma, Mituhiro Fukuda, Sunyoung Kim, Makoto Yamashita. Tight Semidefinite Relaxations for Sign-Indefinite Qcqps with Bipartite Structures, SIAM Conference on Optimization 2023, June 2023.
• Godai Azuma, Mituhiro Fukuda, Sunyoung Kim, Makoto Yamashita. Exactly Solving a class of QCQPs via Semidefinite Relaxation with Bipartite Sparsity Patterns, International Workshop on Continuous Optimization, Dec. 2022.
• Godai Azuma*, Mituhiro Fukuda, Sunyoung Kim, Makoto Yamashita. Exact semidefinite relaxations for QCQPs with forest-structured matrices and its applications, IFORS 2021, Aug. 2021.
• Godai Azuma*, Mituhiro Fukuda, Sunyoung Kim, Makoto Yamashita. Exactness Conditions for Semidefinite Relaxation of Nonconvex QCQPS with Forest Structures, SIAM Conference on Optimization 2021, July 2021.

国内会議発表 (査読なし・不明)

• 東悟大*, Sunyoung Kim, 山下真. 正確なランク1行列補完のための二乗和緩和の疎性構造, シンポジウム：錐線形計画とその周辺, Feb. 2024.
• 東悟大*, 福田光浩, Kim Sunyoung, 山下真. 二部グラフで表現可能な疎性を持つ二次制約付き二次計画問題と狭小な半正定値計画緩和の条件, 日本オペレーションズ・リサーチ学会2022春季研究発表会, Mar. 2022.
• 東悟⼤, 福田光浩, 山下真, Sunyoung Kim. 三重対⾓性を持つ⼆次制約付き⼆次計画問題の狭⼩な半正定値計画緩和, 数理最適化の理論・アルゴリズム・応⽤, Aug. 2020.

学位論文

• On the Exactly Solvable Conditions of Quadratically Constrained Quadratic Program with Sparsity Structures,  Thesis,  Doctor (Science),  Tokyo Institute of Technology,  2023/03/26,   
• On the Exactly Solvable Conditions of Quadratically Constrained Quadratic Program with Sparsity Structures,  Summary,  Doctor (Science),  Tokyo Institute of Technology,  2023/03/26,   
• On the Exactly Solvable Conditions of Quadratically Constrained Quadratic Program with Sparsity Structures,  Exam Summary,  Doctor (Science),  Tokyo Institute of Technology,  2023/03/26,   

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