| Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity H Waki, S Kim, M Kojima, M Muramatsu SIAM Journal on Optimization 17 (1), 218-242, 2006 | 552 | 2006 |
| Algorithm 883: SparsePOP---a sparse semidefinite programming relaxation of polynomial optimization problems H Waki, S Kim, M Kojima, M Muramatsu, H Sugimoto ACM Transactions on Mathematical Software (TOMS) 35 (2), 15, 2008 | 215 | 2008 |
| Sparsity in sums of squares of polynomials M Kojima, S Kim, H Waki Mathematical Programming 103, 45-62, 2005 | 138 | 2005 |
| Exploiting sparsity in SDP relaxation for sensor network localization S Kim, M Kojima, H Waki SIAM Journal on Optimization 20 (1), 192-215, 2009 | 110 | 2009 |
| Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems S Kim, M Kojima, H Waki SIAM Journal on Optimization 15 (3), 697-719, 2005 | 96 | 2005 |
| Facial reduction algorithms for conic optimization problems H Waki, M Muramatsu Journal of Optimization Theory and Applications 158, 188--215, 2013 | 94 | 2013 |
| Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization H Waki, M Nakata, M Muramatsu Computational Optimization and Applications 53, 823-844, 2012 | 58 | 2012 |
| A general framework for convex relaxation of polynomial optimization problems over cones M Kojima, S Kim, H Waki Journal of the Operations Research Society of Japan 46 (2), 125-144, 2003 | 55 | 2003 |
| Algorithm 920: SFSDP: a Sparse Version of Full SemiDefinite Programming Relaxation for Sensor Network Localization Problems S KIM, M KOJIMA, H WAKI, M YAMASHITA ACM Transactions on Mathematical Software (TOMS) 38 (4), 27:1--27:19, 2011 | 47 | 2011 |
| Minimization of Akaike's information criterion in linear regression analysis via mixed integer nonlinear program K Kimura, H Waki Optimization Methods and Software 33 (3), 633-649, 2018 | 41 | 2018 |
| How to generate weakly infeasible semidefinite programs via Lasserre’s relaxations for polynomial optimization H Waki Optimization Letters 6, 1883-1896, 2012 | 35 | 2012 |
| A facial reduction algorithm for finding sparse SOS representations H Waki, M Muramatsu Operations Research Letters 38 (5), 361-365, 2010 | 30 | 2010 |
| l2 induced norm analysis of discrete-time LTI systems for nonnegative input signals and its application to stability analysis of recurrent neural networks Y Ebihara, H Waki, V Magron, NHA Mai, D Peaucelle, S Tarbouriech European Journal of Control 62, 99-104, 2021 | 23 | 2021 |
| Petascale general solver for semidefinite programming problems with over two million constraints K Fujisawa, T Endo, Y Yasui, H Sato, N Matsuzawa, S Matsuoka, H Waki 2014 IEEE 28th International Parallel and Distributed Processing Symposium …, 2014 | 18 | 2014 |
| Stability analysis of recurrent neural networks by IQC with copositive mutipliers Y Ebihara, H Waki, V Magron, NHA Mai, D Peaucelle, S Tarbouriech 2021 60th IEEE Conference on Decision and Control (CDC), 5098-5103, 2021 | 17* | 2021 |
| Perturbation analysis of singular semidefinite programs and its applications to control problems Y Sekiguchi, H Waki Journal of Optimization Theory and Applications 188, 52-72, 2021 | 16 | 2021 |
| Application of Facial Reduction to State Feedback Control Problem H Waki, N Sebe International Journal of Control, 2016 | 12* | 2016 |
| Reduction of H∞ state feedback control problems for the MIMO servo systems H Waki, N Sebe Asian Journal of Control 22 (3), 1025-1037, 2020 | 8 | 2020 |
| Optimization in the Real World: Toward Solving Real-World Optimization Problems K Fujisawa, Y Shinano, H Waki Springer, 2015 | 8 | 2015 |
| H∞ performance limitations analysis for SISO systems: A dual LMI approach Y Ebihara, H Waki, N Sebe 2015 54th IEEE Conference on Decision and Control (CDC), 6629-6634, 2015 | 6 | 2015 |
