10 papers
Error bounds for perspective cones of a class of nonnegative Legendre functions
Xiaozhou Wang, Bruno F. Lourenço, Ting Kei Pong
Error bounds play a central role in the study of conic optimization problems, including the analysis of convergence rates for numerous algorithms. Curiously, those error bounds are…
Convergence analysis for a variant of manifold proximal point algorithm based on Kurdyka-Łojasiewicz property
Peiran Yu, Liaoyuan Zeng, Ting Kei Pong
We incorporate an iteratively reweighted strategy in the manifold proximal point algorithm (ManPPA) in [12] to solve an enhanced sparsity inducing model for identifying sparse yet…
A hybrid penalty method for a class of optimization problems with multiple rank constraints
Tianxiang Liu, Ivan Markovsky, Ting Kei Pong +1
In this paper, we consider the problem of minimizing a smooth objective over multiple rank constraints on Hankel-structured matrices. This kind of problems arises in system identif…
A difference-of-convex approach for split feasibility with applications to matrix factorizations and outlier detection
Chen Chen, Ting Kei Pong, Lulin Tan +1
The split feasibility problem is to find an element in the intersection of a closed set and the linear preimage of another closed set , assuming the projections onto and…
Kurdyka-Łojasiewicz exponent via inf-projection
Peiran Yu, Guoyin Li, Ting Kei Pong
Kurdyka-Lojasiewicz (KL) exponent plays an important role in estimating the convergence rate of many contemporary first-order methods. In particular, a KL exponent of for…
Polar Convolution
Michael P. Friedlander, Ives Macêdo, Ting Kei Pong
The Moreau envelope is one of the key convexity-preserving functional operations in convex analysis, and it is central to the development and analysis of many approaches for convex…