Search Results for author: Ting Tao

Found 4 papers, 0 papers with code

An inexact LPA for DC composite optimization and application to matrix completions with outliers

no code implementations29 Mar 2023 Ting Tao, Ruyu Liu, Shaohua Pan

For this class of nonconvex and nonsmooth problems, we propose an inexact linearized proximal algorithm (iLPA) by computing in each step an inexact minimizer of a strongly convex majorization constructed with a partial linearization of their objective functions at the current iterate, and establish the convergence of the generated iterate sequence under the Kurdyka-\L\"ojasiewicz (KL) property of a potential function.

Column $\ell_{2,0}$-norm regularized factorization model of low-rank matrix recovery and its computation

no code implementations24 Aug 2020 Ting Tao, Yitian Qian, Shaohua Pan

This paper is concerned with the column $\ell_{2, 0}$-regularized factorization model of low-rank matrix recovery problems and its computation.

Matrix Completion

Error bound of critical points and KL property of exponent $1/2$ for squared F-norm regularized factorization

no code implementations11 Nov 2019 Ting Tao, Shaohua Pan, Shujun Bi

This paper is concerned with the squared F(robenius)-norm regularized factorization form for noisy low-rank matrix recovery problems.

KL property of exponent $1/2$ of $\ell_{2,0}$-norm and DC regularized factorizations for low-rank matrix recovery

no code implementations24 Aug 2019 Shujun Bi, Ting Tao, Shaohua Pan

To cater for the scenario in which only a coarse estimation is available for the rank of the true matrix, an $\ell_{2, 0}$-norm regularized term is added to the factored loss function to reduce the rank adaptively; and account for the ambiguities in the factorization, a balanced term is then introduced.

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