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by Chen, XJ and Xu, FM and Ye, YY
SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2010, Volume 32, Issue 5, pp. 2832 - 2852
Recently, variable selection and sparse reconstruction are solved by finding an optimal solution of a minimization model, where the objective function is the... 
REGRESSION | MATHEMATICS, APPLIED | l(p) regularization | RECONSTRUCTION | SIGNALS | GRADIENT SAMPLING ALGORITHM | first order condition | RECOVERY | sparse solution | linear least-squares problem | smoothing approximation | IMAGES | NONSMOOTH | variable selection | SELECTION | second order condition
Journal Article
by Chen, SB and Li, QR and Zhu, GX
JOURNAL OF DIFFERENTIAL EQUATIONS, ISSN 0022-0396, 10/2017, Volume 263, Issue 8, pp. 4997 - 5011
For the case where 0 < p < 1, we prove the existence of solutions of the L-p Monge Ampere equation for arbitrary measures and show that the solution is in... 
MATHEMATICS | L-p Minkowski problem | CHRISTOFFEL-MINKOWSKI PROBLEM | REGULARITY | SURFACE MEASURE | SPHERE | L-p surface area measure | CLASSIFICATION | Monge Ampere type equation | UNIQUENESS | GEOMETRY
Journal Article
Computational Optimization and Applications, ISSN 0926-6003, 10/2014, Volume 59, Issue 1, pp. 47 - 61
The iteratively reweighted ℓ 1 minimization algorithm (IRL1) has been widely used for variable selection, signal reconstruction and image processing. In this... 
Global convergence | ℓ p minimization | Operations Research/Decision Theory | Convex and Discrete Geometry | Nonsmooth and nonconvex optimization | Pseudo convex | Stationary points | Mathematics | Operations Research, Management Science | Statistics, general | Optimization
Journal Article
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, ISSN 0926-6003, 10/2014, Volume 59, Issue 1-2, pp. 47 - 61
The iteratively reweighted a"" (1) minimization algorithm (IRL1) has been widely used for variable selection, signal reconstruction and image processing. In... 
MATHEMATICS, APPLIED | Global convergence | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | IMAGES | Nonsmooth and nonconvex optimization | Pseudo convex | RECONSTRUCTION | SIGNALS | Stationary points | NONSMOOTH | l(p) minimization
Journal Article
Neurocomputing, ISSN 0925-2312, 11/2018, Volume 313, pp. 184 - 195
Ordinal regression (OR) is an important research topic in machine learning and has attracted extensive attention due to its wide applications. So far, a... 
Class-center-induced threshold OR | Discriminant learning | Manifold learning | centroid | Ordinal regression (OR)
Journal Article
OPERATIONS RESEARCH, ISSN 0030-364X, 11/2019, Volume 67, Issue 6, pp. 1752 - 1765
We consider a nonstationary sequential stochastic optimization problem in which the underlying cost functions change over time under a variation budget... 
OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGEMENT | CONVEX | bandit convex optimization | ALGORITHMS | nonstationary stochastic optimization | minimax regret | variation budget constraints
Journal Article
SIGNAL PROCESSING, ISSN 0165-1684, 06/2017, Volume 135, pp. 17 - 25
Parameter estimation from noisy complex-valued measurements is a significant topic in various areas of science and engineering. In this aspect, an important... 
PARAMETER-ESTIMATION | Digamma function | NON-GAUSSIAN NOISE | IMPULSIVE NOISE | Complex-valued signals | ESTIMATOR | Variance analysis | Fractional lower-order moment | ENGINEERING, ELECTRICAL & ELECTRONIC | l(p)-norm minimization | DISTRIBUTIONS | MIXTURES | Taylor series expansion
Journal Article
NEUROCOMPUTING, ISSN 0925-2312, 11/2018, Volume 313, pp. 184 - 195
Ordinal regression (OR) is an important research topic in machine learning and has attracted extensive attention due to its wide applications. So far, a... 
l(p)-centroid | Class-center-induced threshold OR | Discriminant learning | HUMAN AGE ESTIMATION | Ordinal regression (OR) | ALGORITHM | Manifold learning | RANKING | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | STRATEGIES
Journal Article
by Li, FY and Xie, R and Song, WZ and Chen, H
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, ISSN 1545-598X, 05/2019, Volume 16, Issue 5, pp. 806 - 810
Seismic reflectivity inversion is widely applied to improve the seismic resolution to obtain detailed underground understandings. Based on the convolution... 
GEOCHEMISTRY & GEOPHYSICS | LINEAR-REGRESSION | REMOTE SENSING | cross validation (CV) | damping factor | l(p,q) -regularization | optimal regularization | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | seismic reflectivity inversion | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
by Chen, L and Sun, QS and Wang, FH
OPTICAL ENGINEERING, ISSN 0091-3286, 09/2019, Volume 58, Issue 9
Poisson image deconvolution and denoising have received much attention in recent years. A key challenge of this problem is that the most effective prior might... 
BLIND DECONVOLUTION | FAST ALGORITHM | NORM | nonblind deconvolution | sparsity | RESTORATION | OPTICS | Poisson noise | sparse signal processing | NOISE REMOVAL
Journal Article
Journal of Evolution Equations, ISSN 1424-3199, 12/2019, Volume 19, Issue 4, pp. 1041 - 1069
Consider the following Kolmogorov-type hypoelliptic operator $$\begin{aligned} {{\mathscr {L}}}_t := {\sum _{j=2}^n}x_j\cdot \nabla _{x_{j-1}}+\mathrm {tr}(a_t... 
Primary 42B20 | Kolmogorov’s hypoelliptic operators | Fefferman–Stein’s theorem | 60H30 | Analysis | Mathematics | 35Q20 | Propagation of $$L^p$$ L p -regularity | Secondary 35H10
Journal Article
IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS, ISSN 1524-9050, 02/2017, Volume 18, Issue 2, pp. 236 - 247
Vehicle behavior learning can be used in video surveillance systems to identify normal and abnormal vehicle motion patterns for the management of traffic... 
EVENT DETECTION | SYSTEM | ENGINEERING, CIVIL | l - l(p) minimization | Classification | SIGNALS | TRANSPORTATION SCIENCE & TECHNOLOGY | sparse reconstruction | trajectory similarity | vehicle behavior learning | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, ISSN 1065-2469, 12/2019, Volume 30, Issue 12, pp. 962 - 977
In this paper, the boundedness for some multilinear operators related to certain integral operators on spaces with variable exponent are obtained by using a... 
MATHEMATICS | MATHEMATICS, APPLIED | Bochner-Riesz operator | Multilinear operator | Marcinkiewicz operator | BMO | COMMUTATORS | Littlewood-Paley operator | SHARP ESTIMATE | variable L-p space
Journal Article
by Chen, LM and Gu, YT
IEEE SIGNAL PROCESSING LETTERS, ISSN 1070-9908, 10/2015, Volume 22, Issue 10, pp. 1600 - 1603
The literature on sparse recovery often adopts the l(p) "norm" (p is an element of [0,1]) as the penalty to induce sparsity of the signal satisfying an... 
null space constant | SPARSE REPRESENTATIONS | RECOVERY | RECONSTRUCTION | SIGNALS | sparse recovery | Continuity | monotonicity | l(p) minimization | DICTIONARIES | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Mathematische Annalen, ISSN 0025-5831, 06/2019, Volume 374, Issue 1-2, pp. 601 - 652
Journal Article
Mathematische Annalen, ISSN 0025-5831, 04/2019, Volume 373, Issue 3-4, p. 953
Journal Article
Mathematische Annalen, ISSN 0025-5831, 04/2019, Volume 373, Issue 3-4, pp. 953 - 976
Journal Article
by Chen, XJ and Ng, MK and Zhang, C
IEEE TRANSACTIONS ON IMAGE PROCESSING, ISSN 1057-7149, 12/2012, Volume 21, Issue 12, pp. 4709 - 4721
Nonsmooth nonconvex regularization has remarkable advantages for the restoration of piecewise constant images. Constrained optimization can improve the image... 
non-Lipschitz | NONSMOOTH NONCONVEX MINIMIZATION | RECONSTRUCTION | regularization | NOISE | ALGORITHMS | OUTLIERS | LEAST-SQUARES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | nonsmooth and nonconvex | RECOVERY | image restoration | Box constraints | GRADIENT-METHOD
Journal Article
Mathematische Annalen, ISSN 0025-5831, 11/2018
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 2011, Volume 2011, Issue 1, p. 6
Journal Article
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