New regularization method and iteratively reweighted algorithm for sparse vector recovery
Sign Up to like & getrecommendations! Published in 2019 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-020-2561-6
Abstract: Motivated by the study of regularization for sparse problems, we propose a new regularization method for sparse vector recovery. We derive sufficient conditions on the well-posedness of the new regularization, and design an iterative algorithm,… read more here.
Keywords: regularization method; vector recovery; sparse vector; new regularization ... See more keywords
Iterative regularization method in generalized inverse beamforming
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2017.02.044
Abstract: Abstract Beamforming based on microphone array is a method to identify sound sources. It can visualize the sound field of the source plane and reveal interesting acoustic information. Generalized inverse beamforming (GIB) is one important… read more here.
Keywords: iterative regularization; generalized inverse; regularization method; method ... See more keywords
An enhanced sparse regularization method for impact force identification
Sign Up to like & getrecommendations! Published in 2019 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2019.02.039
Abstract: Abstract The standard sparse regularization method based on l1-norm minimization for impact force identification has already proved to be an interesting alternative to the classical regularization method based on l2-norm minimization. However, choosing the l1-norm… read more here.
Keywords: regularization; impact force; regularization method; sparse regularization ... See more keywords
Stochastic analysis of an adaptive cubic regularization method under inexact gradient evaluations and dynamic Hessian accuracy
Sign Up to like & getrecommendations! Published in 2020 at "Optimization"
DOI: 10.1080/02331934.2021.1892104
Abstract: We here adapt an extended version of the adaptive cubic regularization method with dynamic inexact Hessian information for nonconvex optimization in Bellavia et al. [Adaptive cubic regularization methods with dynamic inexact hessian information and applications… read more here.
Keywords: analysis; regularization method; cubic regularization; adaptive cubic ... See more keywords
A Double Residual Iterative Regularization Method for SAR Image Despeckling
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2023.3261865
Abstract: Synthetic aperture radar (SAR) imaging systems are greatly affected by speckle noise, which brings great difficulties to the postprocessing of SAR images. By characterizing edge and nonlocal self-similarity features simultaneously, this letter proposes a double… read more here.
Keywords: double residual; iterative regularization; regularization method; regularization ... See more keywords
DropDim: A Regularization Method for Transformer Networks
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2022.3140693
Abstract: We introduce DropDim, a structured dropout method designed for regularizing the self-attention mechanism, which is a key component of the transformer. In contrast to the general dropout method, which randomly drops neurons, DropDim drops part… read more here.
Keywords: method; regularization method; embedding dimensions; dropdim regularization ... See more keywords
A Hybrid Truncated Norm Regularization Method for Matrix Completion
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Image Processing"
DOI: 10.1109/tip.2019.2918733
Abstract: Matrix completion has been widely used in image processing, in which the popular approach is to formulate this issue as a general low-rank matrix approximation problem. This paper proposes a novel regularization method referred to… read more here.
Keywords: matrix completion; completion; truncated norm; regularization method ... See more keywords
Modification of the Dynamic Regularization Method for Linear Parabolic Equations
Sign Up to like & getrecommendations! Published in 2020 at "Differential Equations"
DOI: 10.1134/s00122661200110063
Abstract: We consider the problem of reconstructing distributed inputs (disturbances) in linear parabolic equations. An algorithm for solving this problem is given. An upper bound for the convergence rate is established for the case in which… read more here.
Keywords: equations modification; modification dynamic; linear parabolic; regularization method ... See more keywords
Research on Stability Problem of Ultrasonic Inverse Scattering Equation
Sign Up to like & getrecommendations! Published in 2019 at "Russian Journal of Nondestructive Testing"
DOI: 10.1134/s1061830919090067
Abstract: The ill-posed problem of the ultrasonic inverse scattering equation is presented as existence, uniqueness, and stability. Among these three points, stability plays a significant role. Generally speaking, solving the stability problems requires the use of… read more here.
Keywords: ultrasonic inverse; stability; scattering equation; inverse scattering ... See more keywords
Iterative regularization method for an abstract ill-posed generalized elliptic equation
Sign Up to like & getrecommendations! Published in 2020 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557121500698
Abstract: A preconditioning version of the Kozlov–Maz’ya iteration method for the stable identification of missing boundary data is presented for an ill-posed problem governed by generalized elliptic equatio... read more here.
Keywords: generalized elliptic; regularization method; ill posed; iterative regularization ... See more keywords
Tikhonov regularization method to analyze the aberrations in the wavefront determination using the Irradiance Transport Equation.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Thrombosis and Haemostasis"
DOI: 10.1364/3d.2020.jth2a.38
Abstract: The Irradiance Transport Equation is considered as an elliptical differential equation that determines the phase as a poorly stated problem. The instability of such a problem is handled as Tikhonov regularization method to determine aberrations. read more here.
Keywords: regularization method; transport equation; irradiance transport; equation ... See more keywords