@article{CTT100848607,
  author = {Tianxiang Liu and Ivan Markovsky and Ting Kei Pong and Akiko Takeda},
  title = {A hybrid penalty method for a class of optimization problems with multiple rank constraints},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = 2020,
}

@article{CTT100848617,
  author = {Ivan Markovsky and Tianxiang Liu and Akiko Takeda},
  title = {Data-Driven Structured Noise Filtering via Common Dynamics Estimation},
  journal = {IEEE Transactions on Signal Processing},
  year = 2020,
}

@article{CTT100848608,
  author = {Tianxiang Liu and Ting Kei Pong and Akiko Takeda},
  title = {A refined convergence analysis of pDCAe with applications to simultaneous sparse recovery and outlier detection},
  journal = {Computational Optimization and Applications},
  year = 2019,
}

@article{CTT100848613,
  author = {Tianxiang Liu and Ting Kei Pong and Akiko Takeda},
  title = {A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems},
  journal = {Mathematical Programming},
  year = 2018,
}

@article{CTT100848612,
  author = {Tianxiang Liu and Zhaosong Lu and Xiaojun Chen and Yu-Hong Dai},
  title = {An exact penalty method for semidefinite-box constrained low-rank matrix optimization problems},
  journal = {IMA Journal of Numerical Analysis},
  year = 2018,
}

@article{CTT100848615,
  author = {Guoyin Li and Tianxiang Liu and Ting Kei Pong},
  title = {Peaceman–Rachford splitting for a class of nonconvex optimization problems},
  journal = {Computational Optimization and Applications},
  year = 2017,
}

@article{CTT100848616,
  author = {Tianxiang Liu and Ting Kei Pong},
  title = {Further properties of the forward–backward envelope with applications to difference-of-convex programming},
  journal = {Computational Optimization and Applications},
  year = 2017,
}

@inproceedings{CTT100891947,
  author = {Charles Namchaisiri and Liu Tianxiang and Makoto Yamashita},
  title = {An Efficient Dual SPG Method for Log-Det SDP with Hidden Clustering Structure},
  booktitle = {},
  year = 2023,
}

@inproceedings{CTT100886797,
  author = {山川智也* and Liu Tianxiang and 山下真},
  title = {構造的制約を持つ最適化問題に対する majorization-minimization 手法の構築},
  booktitle = {},
  year = 2023,
}

@inproceedings{CTT100884467,
  author = {Namchaisiri Charles and Liu Tianxiang and Makoto Yamashita},
  title = {An adaptation of Dual Spectral Projected Gradient Method},
  booktitle = {},
  year = 2022,
}

@inproceedings{CTT100867386,
  author = {Namchaisiri Charles and Liu Tianxiang and 山下真*},
  title = {対数行列式半正定値計画問題に対する双対射影勾配法の拡張},
  booktitle = {},
  year = 2022,
}

@inproceedings{CTT100867385,
  author = {Namchaisiri Charles* and Liu Tianxiang and 山下真},
  title = {クラスタリング情報つき半正定値計画問題に対する双対解法},
  booktitle = {},
  year = 2022,
}

@inproceedings{CTT100848902,
  author = {Liu Tianxiang and F. Lourenco Bruno},
  title = {穏当なエラーバウンドと収束解析},
  booktitle = {},
  year = 2021,
}

@inproceedings{CTT100848923,
  author = {Tianxiang Liu and Akiko Takeda},
  title = {An inexact successive quadratic approximation method for a class of difference-of-convex optimization problems},
  booktitle = {},
  year = 2021,
}

@inproceedings{CTT100848926,
  author = {Tianxiang Liu and Bruno F. Lourenco},
  title = {Convergence analysis under consistent error bounds},
  booktitle = {},
  year = 2020,
}

@inproceedings{CTT100848924,
  author = {Tianxiang Liu and Ivan Markovsky and Ting Kei Pong and Akiko Takeda},
  title = {A hybrid penalty method for a class of optimization problems with multiple rank constraints},
  booktitle = {},
  year = 2019,
}

@inproceedings{CTT100848901,
  author = {Tianxiang Liu and Ting Kei Pong and Akiko Takeda},
  title = {A successive difference-of-convex approximation method with applications to control problems},
  booktitle = {},
  year = 2019,
}

@inproceedings{CTT100848896,
  author = {Tianxiang Liu and Ting Kei Pong and Akiko Takeda},
  title = {A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems},
  booktitle = {},
  year = 2018,
}

@inproceedings{CTT100848899,
  author = {Tianxiang Liu and Ting Kei Pong and Akiko Takeda},
  title = {A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems},
  booktitle = {},
  year = 2018,
}

@inproceedings{CTT100848894,
  author = {Tianxiang Liu and Zhaosong Lu and Xiaojun Chen and Yu-Hong Dai},
  title = {An exact penalty method for semidefinite-box constrained low-rank matrix optimization problems},
  booktitle = {},
  year = 2018,
}

@inproceedings{CTT100848895,
  author = {Tianxiang Liu and Ting Kei Pong},
  title = {Further properties of the forward-backward envelope with applications to difference-of-convex  programming},
  booktitle = {},
  year = 2017,
}