Found 109 Documents (Results 1–100)
A parameterized three-operator splitting algorithm for non-convex minimization problems with applications. (English) Zbl 07870908
Matrix recovery from nonconvex regularized least absolute deviations. (English) Zbl 07867331
MSC:
90C30
Recursive importance sketching for rank constrained least squares: algorithms and high-order convergence. (English) Zbl 1542.90193
Low-rank matrix estimation via nonconvex optimization methods in multi-response errors-in-variables regression. (English) Zbl 1532.90085
Efficient low-rank quaternion matrix completion under the learnable transforms for color image recovery. (English) Zbl 1526.94007
Low-rank matrix recovery problem minimizing a new ratio of two norms approximating the rank function then using an ADMM-type solver with applications. (English) Zbl 1534.94011
Sketching sparse low-rank matrices with near-optimal sample- and time-complexity using message passing. (English) Zbl 07883352
On the efficient implementation of the matrix exponentiated gradient algorithm for low-rank matrix optimization. (English) Zbl 1541.90271
Robust recovery of low-rank matrices and low-tubal-rank tensors from noisy sketches. (English) Zbl 07765792
Blind super-resolution of point sources via fast iterative hard thresholding. (English) Zbl 1524.65197
Riemannian thresholding methods for row-sparse and low-rank matrix recovery. (English) Zbl 1522.65067
Linear convergence of Frank-Wolfe for rank-one matrix recovery without strong convexity. (English) Zbl 1517.90101
The basins of attraction of the global minimizers of non-convex inverse problems with low-dimensional models in infinite dimension. (English) Zbl 1508.94014
Proof methods for robust low-rank matrix recovery. (English) Zbl 1504.94038
Kutyniok, Gitta (ed.) et al., Compressed sensing in information processing. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 37-75 (2022).
Multivariate series noise reduction via sequential majorization method and its extensions. (English) Zbl 1498.62166
On the robustness of noise-blind low-rank recovery from rank-one measurements. (English) Zbl 1502.65021
KL property of exponent \(1/2\) of \(\ell_{2,0}\)-norm and DC regularized factorizations for low-rank matrix recovery. (English) Zbl 1486.15033
Fast alternating minimization method with non-monotone search for low-rank and sparse matrix recovery. (Chinese. English summary) Zbl 1513.90149
A non-monotone alternating directional method for matrix recovery problem. (Chinese. English summary) Zbl 1499.65155
MSC:
65F55
Low-rank tensor completion with sparse regularization in a transformed domain. (English) Zbl 07478619
Low-rank matrix recovery with composite optimization: good conditioning and rapid convergence. (English) Zbl 1480.65100
Accelerating ill-conditioned low-rank matrix estimation via scaled gradient descent. (English) Zbl 07415093
MSC:
68T05
A shrinkage principle for heavy-tailed data: high-dimensional robust low-rank matrix recovery. (English) Zbl 1479.62034
Reviewer: Joseph Melamed (Los Angeles)
Tensor theta norms and low rank recovery. (English) Zbl 1474.13058
Reviewer: Edoardo Ballico (Povo)
A three-operator splitting algorithm for nonconvex sparsity regularization. (English) Zbl 1473.90126
Robust recovery of low-rank matrices with non-orthogonal sparse decomposition from incomplete measurements. (English) Zbl 1508.65041
MSC:
65F55
On the Schatten \(p\)-quasi-norm minimization for low-rank matrix recovery. (English) Zbl 1462.15032
Reviewer: Mohammad Sal Moslehian (Mashhad)
Improved complexities of conditional gradient-type methods with applications to robust matrix recovery problems. (English) Zbl 1459.90146
Non-convex low-rank matrix recovery with arbitrary outliers via median-truncated gradient descent. (English) Zbl 1471.62376
Models and algorithms for low-rank and sparse matrix optimization problems. (Chinese. English summary) Zbl 1474.65175
Solving systems of quadratic equations via exponential-type gradient descent algorithm. (English) Zbl 1463.90172
MSC:
90C26
Necessary and sufficient null space condition for nuclear norm minimization in low-rank matrix recovery. (English) Zbl 1452.90254
The noise-sensitivity phase transition in spectral group synchronization over compact groups. (English) Zbl 07242756
New robust principal component analysis for joint image alignment and recovery via affine transformations, Frobenius and \(L_{2,1}\) norms. (English) Zbl 1486.90145
Parametrized quasi-soft thresholding operator for compressed sensing and matrix completion. (English) Zbl 1442.65078
Low-rank and sparse matrix recovery via inexact Newton-like method with non-monotone search. (English) Zbl 1503.90101
Minimization of the difference of nuclear and Frobenius norms for noisy low rank matrix recovery. (English) Zbl 1455.90131
Reviewer: Juan-Enrique Martínez-Legaz (Barcelona)
A \(p\)-spherical section property for matrix Schatten-\(p\) quasi-norm minimization. (English) Zbl 1438.90268
A corrected tensor nuclear norm minimization method for noisy low-rank tensor completion. (English) Zbl 1538.65104
Hyper-Laplacian regularized nonlocal low-rank matrix recovery for hyperspectral image compressive sensing reconstruction. (English) Zbl 1453.94022
MSC:
94A08
A gradient sampling method on algebraic varieties and application to nonsmooth low-rank optimization. (English) Zbl 1428.49015
Optimal RIP bounds for sparse signals recovery via \(\ell_p\) minimization. (English) Zbl 1422.94018
Generalized phase retrieval: measurement number, matrix recovery and beyond. (English) Zbl 1423.42059
Reviewer: Denis Sidorov (Irkutsk)
Truncated sparse approximation property and truncated \(q\)-norm minimization. (English) Zbl 1438.65134
A singular value \(p\)-shrinkage thresholding algorithm for low rank matrix recovery. (English) Zbl 1414.90287
Iterative hard thresholding for low-rank recovery from rank-one projections. (English) Zbl 1433.65084
On the quadratic convergence of the cubic regularization method under a local error bound condition. (English) Zbl 1411.90284
Low-rank matrix completion using nuclear norm minimization and facial reduction. (English) Zbl 1475.65036
Harmonic mean iteratively reweighted least squares for low-rank matrix recovery. (English) Zbl 1512.62057
An iterative hard thresholding estimator for low rank matrix recovery with explicit limiting distribution. (English) Zbl 1394.62065
Decoding interleaved Gabidulin codes using Alekhnovich’s algorithm. (English) Zbl 1439.94097
Kabatiansky, Grigory (ed.) et al., Algebraic and combinatorial coding theory – 2016. Selected papers from the 15th international workshop (ACCT-XV), Albena, Bulgaria, June 18–24, 2016. Amsterdam: Elsevier. Electron. Notes Discrete Math. 57, 175-180 (2017).
Low-rank matrix recovery using Gabidulin codes in characteristic zero. (English) Zbl 1439.94096
Kabatiansky, Grigory (ed.) et al., Algebraic and combinatorial coding theory – 2016. Selected papers from the 15th international workshop (ACCT-XV), Albena, Bulgaria, June 18–24, 2016. Amsterdam: Elsevier. Electron. Notes Discrete Math. 57, 161-166 (2017).
MSC:
94B05
Constrained quantum tomography of semi-algebraic sets with applications to low-rank matrix recovery. (English) Zbl 1386.94010
Convergence and stability of iteratively reweighted least squares for low-rank matrix recovery. (English) Zbl 1368.65060
Improved recovery guarantees for phase retrieval from coded diffraction patterns. (English) Zbl 1393.94250
Alternating direction method of multipliers for generalized low-rank tensor recovery. (English) Zbl 1461.94046
A perturbation inequality for concave functions of singular values and its applications in low-rank matrix recovery. (English) Zbl 1335.15031
Robust bilinear factorization with missing and grossly corrupted observations. (English) Zbl 06868730
MSC:
62H25
Stable recovery of low-rank matrix via nonconvex Schatten \(p\)-minimization. (English) Zbl 1342.90141
Stability of low-rank matrix recovery and its connections to Banach space geometry. (English) Zbl 1331.41036
Convergence analysis of projected gradient descent for Schatten-\(p\) nonconvex matrix recovery. (English) Zbl 1331.65183
Learning non-parametric basis independent models from point queries via low-rank methods. (English) Zbl 1373.68336
Convergence of projected Landweber iteration for matrix rank minimization. (English) Zbl 1302.65144
MSC:
65J15
Proximity point algorithm for low-rank matrix recovery from sparse noise corrupted data. (English) Zbl 1283.49025
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