The Gradient Projection Algorithm for Smooth Sets and Functions in Nonconvex Case
Sign Up to like & getrecommendations! Published in 2020 at "Set-valued and Variational Analysis"
DOI: 10.1007/s11228-020-00550-4
Abstract: We consider the problem of minimization for a function with Lipschitz continuous gradient on a proximally smooth and smooth manifold in a finite dimensional Euclidean space. We consider the Lezanski-Polyak-Lojasiewicz (LPL) conditions in this problem… read more here.
Keywords: algorithm smooth; projection algorithm; gradient projection; smooth sets ... See more keywords
An alternating projection algorithm for the “approximate” GCD calculation
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1630
Abstract: In the paper an approach is proposed for calculating the “best” approximate GCD of a set of coprime polynomials. The algorithm is motivated by the factorisation of the Sylvester resultant matrix of polynomial sets with… read more here.
Keywords: alternating projection; approximate gcd; projection algorithm; gcd ... See more keywords
Distributed multi-step subgradient projection algorithm with adaptive event-triggering protocols: a framework of multiagent systems
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2022.2063967
Abstract: This paper discusses a convex optimisation problem with a common set of constraints in the framework of multi-agent systems. Each agent only exchanges information with its neighbours and collaboratively searches for the optimal solution of… read more here.
Keywords: subgradient projection; event; multi step; projection algorithm ... See more keywords
Linear convergence of gradient projection algorithm for split equality problems
Sign Up to like & getrecommendations! Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2018.1545124
Abstract: ABSTRACT In this paper, we consider the varying stepsize gradient projection algorithm (GPA) for solving the split equality problem (SEP) in Hilbert spaces, and study its linear convergence. In particular, we introduce a notion of… read more here.
Keywords: linear convergence; projection algorithm; gradient projection; split equality ... See more keywords
Developing a PSO-Based Projection Algorithm for a Porosity Detection System Using X-Ray CT Images of Permeable Concrete
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Access"
DOI: 10.1109/access.2018.2877157
Abstract: Permeable concrete is widely used as a road surfacing material due to its sturdiness and ability to be quickly repaired. The porosity of concrete has been used as a predictive indicator for the properties of… read more here.
Keywords: based projection; porosity; projection algorithm; permeable concrete ... See more keywords
Affine Projection Algorithm by Employing Maximum Correntropy Criterion for System Identification of Mixed Noise
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2959919
Abstract: The adaptive algorithms have been widely studied in Gaussian environment. However, the impulsive noise and other non-Gaussian noise may largely deteriorate the performance of algorithm in practical applications. To address this problem, in this paper,… read more here.
Keywords: maximum correntropy; affine projection; system identification; noise ... See more keywords
Modified Proportionate Affine Projection Algorithm Based Adaptive DSTATCOM Control With Increased Convergence Speed
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DOI: 10.1109/access.2022.3169618
Abstract: The three-phase DSTATCOM is prone to higher dynamics due to grid disturbances. The proportionate affine projection algorithm (PAPA) is an adaptive filter that can be used for DSTATCOM control. In order to overcome the sluggish… read more here.
Keywords: convergence speed; affine projection; proportionate affine; convergence ... See more keywords
Ground Cartesian Back-Projection Algorithm for High Squint Diving TOPS SAR Imaging
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2020.3011589
Abstract: This article presents a fast back-projection (BP) algorithm based on subaperture (SA) image coherent combination in a downsampled Cartesian coordinate grid for high squint diving terrain observation by progressive scans (HSD-TOPS) synthetic aperture radar (SAR)… read more here.
Keywords: high squint; back projection; squint diving; algorithm ... See more keywords
An Iterative Implementation of Variable Projection for Separable Nonlinear Optimization Problems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2022.3165323
Abstract: The separable nonlinear least-squares (SNLLS) problems considered in this article frequently appear in a wide range of research fields, such as machine learning, computer vision, system identification, and signal processing. The variable projection algorithm proposed… read more here.
Keywords: projection; implementation variable; iterative implementation; variable projection ... See more keywords
Widely Linear Maximum Complex Correntropy Criterion Affine Projection Algorithm and Its Performance Analysis
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2022.3185903
Abstract: Recently, affine projection algorithm has been extensively studied in the Gaussian noise environment. However, the performance of affine projection algorithm will deteriorate rapidly in the presence of impulsive noise and other non-Gaussian noise. To address… read more here.
Keywords: affine projection; analysis; projection algorithm; complex correntropy ... See more keywords
A Gradient Projection Algorithm with a New Stepsize for Nonnegative Sparsity-Constrained Optimization
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/6489190
Abstract: Nonnegative sparsity-constrained optimization problem arises in many fields, such as the linear compressing sensing problem and the regularized logistic regression cost function. In this paper, we introduce a new stepsize rule and establish a gradient… read more here.
Keywords: projection algorithm; nonnegative sparsity; new stepsize; gradient projection ... See more keywords