A Regularized Explicit Exchange Method for Semi-Infinite Programs with an Infinite Number of Conic Constraints. - Takayuki Okuno; Shunsuke Hayashi; Masao Fukushima (SIAM J. Optim., 2012)

Local reduction based SQP-type method for semi-infinite programs with an infinite number of second-order cone constraints. - Takayuki Okuno; Masao Fukushima (J. Glob. Optim., 2014)

Simplex-type algorithm for second-order cone programmes via semi-infinite programming reformulation. - Shunsuke Hayashi; Takayuki Okuno; Yoshihiko Ito (Optim. Methods Softw., 2016)

An exchange method with refined subproblems for convex semi-infinite programming problems. - Takayuki Okuno; Shunsuke Hayashi; Nobuo Yamashita; Kensuke Gomoto (Optim. Methods Softw., 2016)

An interior point sequential quadratic programming-type method for log-determinant semi-infinite programs. - Takayuki Okuno; Masao Fukushima (J. Comput. Appl. Math., 2020)

On lp-hyperparameter Learning via Bilevel Nonsmooth Optimization. - Takayuki Okuno; Akiko Takeda; Akihiro Kawana; Motokazu Watanabe (J. Mach. Learn. Res., 2021)

Extension of the LP-Newton method to conic programming problems via semi-infinite representation. - Mirai Tanaka; Takayuki Okuno (Numer. Algorithms, 2021)

A stabilized sequential quadratic semidefinite programming method for degenerate nonlinear semidefinite programs. - Yuya Yamakawa; Takayuki Okuno (Comput. Optim. Appl., 2022)

Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds. - Mitsuaki Obara; Takayuki Okuno; Akiko Takeda (SIAM J. Optim., 2022)

A limiting analysis on regularization of singular SDP and its implication to infeasible interior-point algorithms. - Takashi Tsuchiya; Bruno F. Lourenço; Masakazu Muramatsu; Takayuki Okuno (Math. Program., 2023)

Majorization-minimization-based Levenberg-Marquardt method for constrained nonlinear least squares. - Naoki Marumo; Takayuki Okuno; Akiko Takeda (Comput. Optim. Appl., 2023)

Primal-dual path following method for nonlinear semi-infinite programs with semi-definite constraints. - Takayuki Okuno; Masao Fukushima (Math. Program., 2023)

Complexity analysis of interior-point methods for second-order stationary points of nonlinear semidefinite optimization problems. - Shun Arahata; Takayuki Okuno; Akiko Takeda (Comput. Optim. Appl., 2023)

Closing duality gaps of SDPs completely through perturbation when singularity degree is one. - Takashi Tsuchiya; Bruno F. Lourenço; Masakazu Muramatsu; Takayuki Okuno (Optim. Methods Softw., 2024)

Stable Linear System Identification With Prior Knowledge by Riemannian Sequential Quadratic Optimization. - Mitsuaki Obara; Kazuhiro Sato; Hiroki Sakamoto; Takayuki Okuno; Akiko Takeda (IEEE Trans. Autom. Control., 2024)

Local convergence of primal-dual interior point methods for nonlinear semidefinite optimization using the Monteiro-Tsuchiya family of search directions. - Takayuki Okuno (Comput. Optim. Appl., 2024)

Computational Complexity and Integer Programming Formulation of the Oredango Puzzle. - Takuma Takahata; Norito Minamikawa; Takayuki Okuno (CoRR, 2025)

Unified smoothing approach for best hyperparameter selection problem using a bilevel optimization strategy. - Jan Harold Alcantara; Chieu Thanh Nguyen; Takayuki Okuno; Akiko Takeda; Jein-Shan Chen (Math. Program., 2025)