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Deducing Kurdyka-Ɓojasiewicz exponent via inf-projection


Feb 10, 2019
Peiran Yu, Guoyin Li, Ting Kei Pong


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A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems


May 26, 2018
Tianxiang Liu, Ting Kei Pong, Akiko Takeda


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A Non-monotone Alternating Updating Method for A Class of Matrix Factorization Problems


May 15, 2018
Lei Yang, Ting Kei Pong, Xiaojun Chen


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A refined convergence analysis of pDCA$_e$ with applications to simultaneous sparse recovery and outlier detection


Apr 19, 2018
Tianxiang Liu, Ting Kei Pong, Akiko Takeda


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Calculus of the exponent of Kurdyka-Ɓojasiewicz inequality and its applications to linear convergence of first-order methods


Jan 19, 2018
Guoyin Li, Ting Kei Pong

* The paper is accepted for publication in Foundations of Computational Mathematics: https://link.springer.com/article/10.1007/s10208-017-9366-8. In this update, we fill in more details to the proof of Theorem 4.1 concerning the nonemptiness of the projection onto the set of stationary points 

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Iteratively reweighted $\ell_1$ algorithms with extrapolation


Nov 18, 2017
Peiran Yu, Ting Kei Pong

* Fixed typos in the termination criteria for the reweighted algorithms 

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Further properties of the forward-backward envelope with applications to difference-of-convex programming


Oct 18, 2016
Tianxiang Liu, Ting Kei Pong

* Theorem 3.3 is added. Included numerical tests on oversampled DCT matrix 

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Linear Convergence of Proximal Gradient Algorithm with Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems


Aug 01, 2016
Bo Wen, Xiaojun Chen, Ting Kei Pong

* We have replaced the blanket assumptions on $f+g$ by the (weaker) assumptions that the optimal value of (1.1) is finite and attained. Section 3.4 has been deleted 

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Penalty methods for a class of non-Lipschitz optimization problems


Apr 07, 2016
Xiaojun Chen, Zhaosong Lu, Ting Kei Pong


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Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems


Nov 05, 2015
Guoyin Li, Ting Kei Pong

* To appear in Mathematical Programming 

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Global convergence of splitting methods for nonconvex composite optimization


Nov 04, 2015
Guoyin Li, Ting Kei Pong

* To appear in SIOPT 

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