A nonconvex and nonsmooth anisotropic total variation model for image noise and blur removal
Sign Up to like & getrecommendations! Published in 2019 at "Multimedia Tools and Applications"
DOI: 10.1007/s11042-019-08179-8
Abstract: In this paper, a nonconvex and nonsmooth anisotropic total variation model is proposed, which can provide a very sparser representation of the derivatives of the function in horizontal and vertical directions. The new model can… read more here.
Keywords: nonsmooth anisotropic; model; total variation; anisotropic total ... See more keywords
Nonconvex and nonsmooth total variation regularization method for diffuse optical tomography based on RTE * * Submitted Funding: this work is supported by the National Natural Science Foundation of China (Grant No. 11701159).
Sign Up to like & getrecommendations! Published in 2021 at "Inverse Problems"
DOI: 10.1088/1361-6420/abf5ed
Abstract: Diffuse optical tomography with near-infrared light is a promising technique for noninvasive study of the functional characters of human tissues. Mathematically, it is a seriously ill-posed parameter identification problem. For the purpose of better providing… read more here.
Keywords: nonsmooth total; diffuse optical; total variation; regularization ... See more keywords
Optimality conditions and duality results for a new class of nonconvex nonsmooth vector optimization problems
Sign Up to like & getrecommendations! Published in 2021 at "Miskolc Mathematical Notes"
DOI: 10.18514/mmn.2021.2780
Abstract: In this paper, a new class of nonconvex nonsmooth multiobjective programming problems with both inequality and equality constraints defined in a real Banach space is considered. Under the nondifferentiable vectorial (Φ,ρ)w-invexity notion introduced in the… read more here.
Keywords: class nonconvex; optimality conditions; class; new class ... See more keywords
Proximal Linearized Iteratively Reweighted Algorithms for Nonconvex and Nonsmooth Optimization Problem
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11050201
Abstract: The nonconvex and nonsmooth optimization problem has been attracting increasing attention in recent years in image processing and machine learning research. The algorithm-based reweighted step has been widely used in many applications. In this paper,… read more here.
Keywords: problem; proximal linearized; optimization problem; nonconvex nonsmooth ... See more keywords