Found 119 Documents (Results 1–100)
A subgradient method with constant step-size for \(\ell_1\)-composite optimization. (English) Zbl 07873923
An inexact quasi-Newton algorithm for large-scale \(\ell_1\) optimization with box constraints. (English) Zbl 1528.90283
PCA sparsified. (English) Zbl 07731067
Correction to: “Saturation-value based higher-order regularization for color image restoration”. (English) Zbl 1539.94003
Saturation-value based higher-order regularization for color image restoration. (English) Zbl 1534.94006
Multidimensional Syst. Signal Process. 34, No. 2, 365-394 (2023); correction ibid. 34, No. 2, 395 (2023).
Sparse Hessian based semismooth Newton augmented Lagrangian algorithm for general \(\ell_1\) trend filtering. (English) Zbl 1507.90103
Delaunay-like triangulation of smooth orientable submanifolds by \(\ell_1\)-norm minimization. (English) Zbl 07849006
Goaoc, Xavier (ed.) et al., 38th international symposium on computational geometry, SoCG 2022, Berlin, Germany, June 7–10, 2022. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 224, Article 8, 16 p. (2022).
MSC:
68U05
Another hybrid approach for solving monotone operator equations and application to signal processing. (English) Zbl 1527.90223
Solving constrained nonsmooth group sparse optimization via group Capped-\(\ell_1\) relaxation and group smoothing proximal gradient algorithm. (English) Zbl 1518.90087
An adaptive \(\ell_1\)-\(\ell_2\)-type model with hierarchies for sparse signal reconstruction problem. (English) Zbl 1507.94015
MSC:
94A12
An active-set proximal quasi-Newton algorithm for \(\ell_1\)-regularized minimization over a sphere constraint. (English) Zbl 1510.90265
A competitive inexact nonmonotone filter SQP method: convergence analysis and numerical results. (English) Zbl 1509.90194
A primal-dual penalty method via rounded weighted-\(\ell_1\) Lagrangian duality. (English) Zbl 1509.90216
Reviewer: Sorin-Mihai Grad (Paris)
Efficient numerical methods to solve sparse linear equations with application to PageRank. (English) Zbl 1502.90122
Minimization over the \(\ell_1\)-ball using an active-set non-monotone projected gradient. (English) Zbl 1502.90169
MSC:
90C30
Stochastic proximal gradient method FOR \(\ell_1\) regularized optimization over a sphere. (Chinese. English summary) Zbl 1513.65188
A DC optimization approach for constrained clustering with \(\ell_1\)-norm. (English) Zbl 1497.49021
Using \(\ell_1\)-relaxation and integer programming to obtain dual bounds for sparse PCA. (English) Zbl 1496.90054
A geometric proximal gradient method for sparse least squares regression with probabilistic simplex constraint. (English) Zbl 1492.65165
Sequential quadratic optimization for nonlinear optimization problems on Riemannian manifolds. (English) Zbl 1517.65050
Two sufficient descent three-term conjugate gradient methods for unconstrained optimization problems with applications in compressive sensing. (English) Zbl 1493.90190
A necessary and sufficient condition for sparse vector recovery via \(\ell_1-\ell_2\) minimization. (English) Zbl 1485.90095
Sparse reconstruction via the mixture optimization model with iterative support estimate. (English) Zbl 1531.94014
A new sufficient condition for sparse vector recovery via \(\ell_1\)-\( \ell_2\) local minimization. (English) Zbl 1492.94029
New restricted isometry property analysis for \(\ell_1-\ell_2\) minimization methods. (English) Zbl 1474.94041
Supporting vectors for the \(\ell_1\)-norm and the \(\ell_{\infty }\)-norm and an application. (English) Zbl 07372217
Simultaneous image enhancement and restoration with non-convex total variation. (English) Zbl 1516.68113
\(\ell_1-\alpha\ell_2\) minimization methods for signal and image reconstruction with impulsive noise removal. (English) Zbl 1468.94021
On a general smoothly truncated regularization for variational piecewise constant image restoration: construction and convergent algorithms. (English) Zbl 1471.94001
Inexact primal-dual gradient projection methods for nonlinear optimization on convex set. (English) Zbl 1460.90185
A subspace-accelerated split Bregman method for sparse data recovery with joint \(\ell_1\)-type regularizers. (English) Zbl 1451.65074
Unique sharp local minimum in \(\ell_1\)-minimization complete dictionary learning. (English) Zbl 1498.68270
Make \(\ell_1\) regularization effective in training sparse CNN. (English) Zbl 1480.90178
Reviewer: Nada Djuranović-Miličić (Beograd)
MSC:
90C15
An application of sparse-group Lasso regularization to equity portfolio optimization and sector selection. (English) Zbl 1434.62220
Constructing volumetric parameterization based on directed graph simplification of \(\ell_1\) polycube structure from complex shapes. (English) Zbl 1441.65115
Weak stability of \(\ell_1\)-minimization methods in sparse data reconstruction. (English) Zbl 1441.90091
Nonconvex TGV regularization model for multiplicative noise removal with spatially varying parameters. (English) Zbl 1491.94009
Minimisation and parameter estimation in image restoration variational models with \(\ell_1\)-constraints. (English) Zbl 1462.94009
An efficient multifidelity \(\ell_1\)-minimization method for sparse polynomial chaos. (English) Zbl 1440.94017
Generalized conjugate gradient methods for \(\ell_1\) regularized convex quadratic programming with finite convergence. (English) Zbl 1432.90101
A gradient enhanced \(\ell_{1}\)-minimization for sparse approximation of polynomial chaos expansions. (English) Zbl 1415.65032
A preconditioned conjugate gradient method with active set strategy for \(\ell_1\)-regularized least squares. (English) Zbl 1424.90191
Iterative positive thresholding algorithm for non-negative sparse optimization. (English) Zbl 1412.90163
MSC:
90C48
Local identifiability of \(\ell_1\)-minimization dictionary learning: a sufficient and almost necessary condition. (English) Zbl 1467.68155
Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. (English) Zbl 1401.90167
The homotopy method revisited: computing solution paths of \(\ell_1\)-regularized problems. (English) Zbl 1391.49072
The application of a predictor-corrector method for large-scale signal reconstruction problem. (Chinese. English summary) Zbl 1389.90241
IMRO: A proximal quasi-Newton method for solving \(\ell_1\)-regularized least squares problems. (English) Zbl 1365.90202
One condition for solution uniqueness and robustness of both \(\ell_1\)-synthesis and \(\ell_1\)-analysis minimizations. (English) Zbl 1362.65064
Reviewer: Başak Akteke-Öztürk (Ankara)
Point source super-resolution via non-convex \(L_1\) based methods. (English) Zbl 1354.65125
Reviewer: Manfred Tasche (Rostock)
A second-order method for convex \(\ell_1\)-regularized optimization with active-set prediction. (English) Zbl 1341.49039
MSC:
49M30
65K10
A second-order method for strongly convex \(\ell _1\)-regularization problems. (English) Zbl 1364.90255
A fast active set block coordinate descent algorithm for \(\ell_1\)-regularized least squares. (English) Zbl 1333.65059
Sharp non-asymptotic performance bounds for \(\ell_1\) and Huber robust regression estimators. (English) Zbl 1329.62311
An interior-point \(\ell_1\)-penalty method for nonlinear optimization. (English) Zbl 1330.65085
Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 117-150 (2015).
Sparse identification of posynomial models. (English) Zbl 1326.93028
MSC:
93B30
93B40
A new computational method for the sparsest solutions to systems of linear equations. (English) Zbl 1320.65060
A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions. (English) Zbl 1349.65198
Nonmonotone Barzilai-Borwein gradient algorithm for \(\ell_1\)-regularized nonsmooth minimization in compressive sensing. (English) Zbl 1306.65216
Reviewer: Jan Lovíšek (Bratislava)
Nesterov’s algorithm solving dual formulation for compressed sensing. (English) Zbl 1293.65090
J. Comput. Appl. Math. 260, 1-17 (2014); reprint ibid. 265, 52-68 (2014).
Linearized alternating directions method for \(\ell_1\)-norm inequality constrained \(\ell_1\)-norm minimization. (English) Zbl 1295.65042
Fully smoothed \(\ell_1\)-\(TV\) models: bounds for the minimizers and parameter choice. (English) Zbl 1292.49036
Complexity and nonlinear semidefinite programming reformulation of \(\ell_1\)-constrained nonconvex quadratic optimization. (English) Zbl 1321.90095
Stability and robustness of \(\ell_1\)-minimizations with Weibull matrices and redundant dictionaries. (English) Zbl 1332.94042
Large sparse signal recovery by conjugate gradient algorithm based on smoothing technique. (English) Zbl 1391.94481
Sparse stabilization and optimal control of the Cucker-Smale model. (English) Zbl 1275.49003
Reviewer: Tullio Zolezzi (Genova)
Robust imaging of localized scatterers using the singular value decomposition and \(\ell_1\) minimization. (English) Zbl 1284.78007
Reviewer: Jiguang Sun (Dover)
On \(\ell_1\) data fitting and concave regularization for image recovery. (English) Zbl 1267.65028
Reviewer: Costică Moroşanu (Iaşi)
New nonsmooth equations-based algorithms for \(\ell_1\)-norm minimization and applications. (English) Zbl 1268.65084
Nonnegative sparse blind source separation for NMR spectroscopy by data clustering, model reduction, and \(\ell_1\) minimization. (English) Zbl 1260.94029
Optimal estimation of \(\ell_1\)-regularization prior from a regularized empirical Bayesian risk standpoint. (English) Zbl 1255.49060
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