Found 68 Documents (Results 1–68)
Inexact fixed-point proximity algorithm for the \(\ell_0\) sparse regularization problem. (English) Zbl 07902984
\(\alpha \ell_1 - \beta \ell_2\) sparsity regularization for nonlinear ill-posed problems. (English) Zbl 07890842
A few theoretical results for Laplace and arctan penalized ordinary least squares linear regression estimators. (English) Zbl 07881542
MSC:
62-XX
Convex non-convex variational models. (English) Zbl 07914334
Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 3-59 (2023).
Feature grouping and sparse principal component analysis with truncated regularization. (English) Zbl 07858668
MSC:
62-XX
A novel variable exponent non-convex \(\mathrm{TV}^{p, q (x)}\) model in image restoration. (English) Zbl 1519.94002
MSC:
94A08
Convergence analysis of critical point regularization with non-convex regularizers. (English) Zbl 1520.65035
Nearly minimax-optimal rates for noisy sparse phase retrieval via early-stopped mirror descent. (English) Zbl 1524.62026
Morozov’s discrepancy principle for \(\alpha\ell_1-\beta\ell_2\) sparsity regularization. (English) Zbl 1515.49007
Non-convex regularization and accelerated gradient algorithm for sparse portfolio selection. (English) Zbl 1508.91507
MSC:
91G10
Optimal correction of infeasible equations system as \(Ax+B|x|=b\) using \(\ell_p\)-norm regularization. (English) Zbl 07801831
The lower bound of nonlocal gradient for non-convex and non-smooth image patches based regularization. (English) Zbl 1487.65141
Automatic parameter selection based on residual whiteness for convex non-convex variational restoration. (English) Zbl 07468058
Tai, Xue-Cheng (ed.) et al., Mathematical methods in image processing and inverse problems. Selected papers based on the presentations at the international workshop on image processing and inverse problems, IPIP 2018, Beijing, China, April 21–24, 2018. Singapore: Springer. Springer Proc. Math. Stat. 360, 95-111 (2021).
An efficient non-convex total variation approach for image deblurring and denoising. (English) Zbl 1508.94011
Computational approaches to non-convex, sparsity-inducing multi-penalty regularization. (English) Zbl 1464.94012
SPECT with a multi-bang assumption on attenuation. (English) Zbl 1454.65154
Reviewer: Antoine Tonnoir (Rouen)
Newton-type methods for non-convex optimization under inexact Hessian information. (English) Zbl 1451.90134
Euler’s elastica-based algorithm for parallel MRI reconstruction using sensitivity encoding. (English) Zbl 1448.92116
MSC:
92C55
Majorized proximal alternating imputation for regularized rank constrained matrix completion. (English) Zbl 1433.65085
Transformed \(\ell_1\) regularization for learning sparse deep neural networks. (English) Zbl 1434.68512
MSC:
68T07
\(\alpha\ell_1-\beta\ell_2\) regularization for sparse recovery. (English) Zbl 1485.65138
MSC:
65R32
On convex envelopes and regularization of non-convex functionals without moving global minima. (English) Zbl 1425.49013
Regularization with metric double integrals of functions with values in a set of vectors. (English) Zbl 1451.49038
A flexible framework for cubic regularization algorithms for nonconvex optimization in function space. (English) Zbl 1418.49035
Reviewer: Pál Burai (Debrecen)
An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration. (English) Zbl 1487.94034
Convex non-convex segmentation of scalar fields over arbitrary triangulated surfaces. (English) Zbl 1510.65037
Non-convex regularization of bilinear and quadratic inverse problems by tensorial lifting. (English) Zbl 1410.65430
Weak fault detection of tapered rolling bearing based on penalty regularization approach. (English) Zbl 1461.90113
Nonlinear flows for displacement correction and applications in tomography. (English) Zbl 1489.94010
Lauze, François (ed.) et al., Scale space and variational methods in computer vision. 6th international conference, SSVM 2017, Kolding, Denmark, June 4–8, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10302, 283-294 (2017).
Online learning of a weighted selective naive Bayes classifier with non-convex optimization. (English) Zbl 1477.68268
Guillet, Fabrice (ed.) et al., Advances in knowledge discovery and management. Volume 6. Selected papers based on the presentations at the “Extraction et gestion des connaissances” conferences, EGC 2014 and EGC 2015, Rennes, France in January 2014 and Luxembourg in January 2015. Cham: Springer. Stud. Comput. Intell. 665, 3-17 (2017).
Data assimilation and null controllability of degenerate/singular parabolic problems. (English) Zbl 1372.65187
Cartoon-texture image decomposition via non-convex low-rank texture regularization. (English) Zbl 1364.94093
Convex image denoising via non-convex regularization with parameter selection. (English) Zbl 1391.94088
MSC:
94A08
Point source super-resolution via non-convex \(L_1\) based methods. (English) Zbl 1354.65125
Reviewer: Manfred Tasche (Rostock)
Convex image denoising via non-convex regularization. (English) Zbl 1444.94015
Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 666-677 (2015).
Relaxed sparse eigenvalue conditions for sparse estimation via non-convex regularized regression. (English) Zbl 06805405
MSC:
62J07
Statistical inversion in electrical impedance tomography using mixed total variation and non-convex \(\ell_{p}\) regularization prior. (English) Zbl 1331.35391
Penalized least squares for optimal sparse portfolio selection. (English) Zbl 1436.62492
Gilli, Manfred (ed.) et al., Proceedings of COMPSTAT 2014 – 21st international conference on computational statistics, Geneva, Switzerland, August 19–22, 2014. The Hague: International Statistical Institute (ISI); The Hague: International Association for Statistical Computing (IASC). 177-186 (2014).
Edge-preserving reconstruction with contour-line smoothing and non-quadratic data-fidelity. (English) Zbl 1286.94026
Reviewer: Hang Lau (Montréal)
Fixed point optimization algorithm and its application to power control in CDMA data networks. (English) Zbl 1274.90428
Generalized Bregman distances and convergence rates for non-convex regularization methods. (English) Zbl 1228.65086
Reviewer: Robert Plato (Siegen)
Derivatives with respect to metrics and applications: subgradient marching algorithm. (English) Zbl 1202.65078
Reviewer: Jan Lovíšek (Bratislava)
Weighted and extended total variation for image restoration and decomposition. (English) Zbl 1191.68567
Regularization with non-convex separable constraints. (English) Zbl 1180.65068
Reviewer: Iulian Coroian (Baia Mare)
Analytical bounds on the minimizers of (nonconvex) regularized least-squares. (English) Zbl 1156.68053
Reviewer: Denis Sidorov (Irkutsk)
Towards Tikhonov regularization of non-linear ill-posed problems: a dc programming approach. (English. Abridged French version) Zbl 1018.65072
Thermo-elastic aspects of dynamic nucleation. (English) Zbl 1022.74034
Reviewer: Arkadi Berezovski (Tallinn)
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