Sparsity in sums of squares of polynomials. - Masakazu Kojima; Sunyoung Kim; Hayato Waki (Math. Program., 2005)

Generalized Lagrangian Duals and Sums of Squares Relaxations of Sparse Polynomial Optimization Problems. - Sunyoung Kim; Masakazu Kojima; Hayato Waki (SIAM J. Optim., 2005)

Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity. - Hayato Waki; Sunyoung Kim; Masakazu Kojima; Masakazu Muramatsu (SIAM J. Optim., 2006)

Algorithm 883: SparsePOP - A Sparse Semidefinite Programming Relaxation of Polynomial Optimization Problems. - Hayato Waki; Sunyoung Kim; Masakazu Kojima; Masakazu Muramatsu; Hiroshi Sugimoto (ACM Trans. Math. Softw., 2008)

Exploiting Sparsity in SDP Relaxation for Sensor Network Localization. - Sunyoung Kim; Masakazu Kojima; Hayato Waki (SIAM J. Optim., 2009)

A facial reduction algorithm for finding sparse SOS representations. - Hayato Waki; Masakazu Muramatsu (Oper. Res. Lett., 2010)

Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization. - Hayato Waki; Maho Nakata; Masakazu Muramatsu (Comput. Optim. Appl., 2012)

How to generate weakly infeasible semidefinite programs via Lasserre's relaxations for polynomial optimization. - Hayato Waki (Optim. Lett., 2012)

Algorithm 920: SFSDP: A Sparse Version of Full Semidefinite Programming Relaxation for Sensor Network Localization Problems. - Sunyoung Kim; Masakazu Kojima; Hayato Waki; Makoto Yamashita (ACM Trans. Math. Softw., 2012)

Facial Reduction Algorithms for Conic Optimization Problems. - Hayato Waki; Masakazu Muramatsu (J. Optim. Theory Appl., 2013)

Petascale General Solver for Semidefinite Programming Problems with Over Two Million Constraints. - Katsuki Fujisawa; Toshio Endo; Yuichiro Yasui; Hitoshi Sato; Naoki Matsuzawa; Satoshi Matsuoka; Hayato Waki (IPDPS, 2014)

H∞ performance limitations analysis for SISO systems: A dual LMI approach. - Yoshio Ebihara; Hayato Waki; Noboru Sebe (CDC, 2015)

Reduction of SDPs in H∞ control of SISO systems and performance limitations analysis. - Hayato Waki; Yoshio Ebihara; Noboru Sebe (CDC, 2016)

Mixed Integer Nonlinear Program for Minimization of Akaike's Information Criterion. - Keiji Kimura; Hayato Waki (ICMS, 2016)

Boundary modeling in model-based calibration for automotive engines via the vertex representation of the convex hulls. - Hayato Waki; Florin Nae (CoRR, 2016)

Perturbed sums-of-squares theorem for polynomial optimization and its applications. - Masakazu Muramatsu; Hayato Waki; Levent Tunçel (Optim. Methods Softw., 2016)

A Mixed Integer Quadratic Formulation for the Shortest Vector Problem. - Keiji Kimura; Hayato Waki (CREST Crypto-Math Project, 2017)

Reduction of H∞ state feedback control problems for the servo systems. - Hayato Waki; Noboru Sebe (ASCC, 2017)

Application of mixed integer quadratic program to shortest vector problems. - Keiji Kimura; Hayato Waki; Masaya Yasuda (JSIAM Lett., 2017)

Minimization of Akaike's information criterion in linear regression analysis via mixed integer nonlinear program. - Keiji Kimura; Hayato Waki (Optim. Methods Softw., 2018)

Positive Definiteness in Linear Matrix Inequality Problem for H-Infinity Output Feedback Control Problem. - Hayato Waki (IEEE Control. Syst. Lett., 2019)

Application of facial reduction to H ∞ state feedback control problem. - Hayato Waki; Noboru Sebe (Int. J. Control, 2019)

On Gain-Scheduled State-Feedback Controller Synthesis With Quadratic Stability Condition. - Yoshio Ebihara; Noboru Sebe; Hayato Waki (IEEE Control. Syst. Lett., 2020)

Characterization of the dual problem of linear matrix inequality for H-infinity output feedback control problem via facial reduction. - Hayato Waki; Noboru Sebe (Math. Control. Signals Syst., 2020)

Stability Analysis of Recurrent Neural Networks by IQC with Copositive Mutipliers. - Yoshio Ebihara; Hayato Waki; Victor Magron; Ngoc Hoang Anh Mai; Dimitri Peaucelle; Sophie Tarbouriech (CDC, 2021)

l2 induced norm analysis of discrete-time LTI systems for nonnegative input signals and its application to stability analysis of recurrent neural networks. - Yoshio Ebihara; Hayato Waki; Victor Magron; Ngoc Hoang Anh Mai; Dimitri Peaucelle; Sophie Tarbouriech (Eur. J. Control, 2021)

Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems. - Yoshiyuki Sekiguchi; Hayato Waki (J. Optim. Theory Appl., 2021)

L2+ Induced Norm Analysis of Continuous-Time LTI Systems Using Positive Filters and Copositive Programming. - Yoshio Ebihara; Hayato Motooka; Hayato Waki; Noboru Sebe; Victor Magron; Dimitri Peaucelle; Sophie Tarbouriech (ECC, 2022)