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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2001, Volume 263, Issue 2, pp. 424 - 446
In this paper we present some basic results on the generalized Lebesgue spaces Lp(x)() and generalized Lebesgue Sobolev spaces Wm, p(x)(). These results... 
generalized Lebesgue space | Nemytsky operator | density | imbedding | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 03/2018, Volume 102, pp. 198 - 213
Sparsity is becoming a more and more important topic in the area of machine learning and signal processing recently. One big family of sparse measures in... 
Deep learning | Sparse filtering | Rotating machinery | Minimum entropy deconvolution | Incipient fault detection
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 2, pp. 1338 - 1351
Let be a complete noncompact submanifold in a sphere . In this paper, we prove that the dimension of the space of harmonic 1-forms on must be finite for... 
Total curvature | [formula omitted] harmonic 1-forms | Submanifolds
Journal Article
Optics Letters, ISSN 0146-9592, 07/2014, Volume 39, Issue 14, pp. 4156 - 4159
Time domain fluorescence molecular tomography (TD-FMT) provides a unique dataset for enhanced quantification and spatial resolution. The time-gate dataset can... 
Journal Article
BioMedical Engineering Online, ISSN 1475-925X, 03/2017, Volume 16, Issue 1
Performance analyses are conducted using both numerical and phantom experiments. In terms of spatial resolution, quantitativeness, gray resolution and... 
Non-negative | Sparsity regularization | Diffuse optical tomography | Inverse problem | Breast | Medical examination | Image processing | Optical tomography | Methods
Journal Article
Advances in Mathematics, ISSN 0001-8708, 07/2018, Volume 332, pp. 57 - 84
The dual curvature measure was introduced by Lutwak, Yang & Zhang in an attempt to unify the Brunn–Minkowski theory and the dual Brunn–Minkowski theory. The... 
Dual Minkowski problem | [formula omitted] dual Minkowski problem | [formula omitted] Minkowski problem | Degenerate Monge–Ampère equation | Regularity | Minkowski problem
Journal Article
Neural Networks, ISSN 0893-6080, 09/2018, Volume 105, pp. 393 - 404
Recently, L1-norm distance measure based Linear Discriminant Analysis (LDA) techniques have been shown to be robust against outliers. However, these methods... 
linear Discriminant Analysis | Robustness | Lp-norm | Ls-norm | DIMENSIONALITY REDUCTION | NEURAL-NETWORKS | PRINCIPAL COMPONENT ANALYSIS | FACE RECOGNITION | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | PCA
Journal Article
Journal Article
Optical Fiber Technology, ISSN 1068-5200, 12/2018, Volume 46, pp. 258 - 264
We introduce an analytical theory of LP -LP mode interference and investigate its application in curvature measurement. Under the weakly guiding condition, an... 
mode | Temperature | LP | Mode interference | Curvatures sensor | Few-mode multi-core fiber (FM-MCF)
Journal Article
Journal of Visual Communication and Image Representation, ISSN 1047-3203, 11/2018, Volume 57, pp. 192 - 201
Prototype learning aims to eliminate redundancy of large-scale data by selecting an informative subset. It is at the center of visual data analysis and... 
Video summarization | Prototype | Sparse learning | Subset selection | [formula omitted]-norm
Journal Article
Neural Networks, ISSN 0893-6080, 03/2018, Volume 99, pp. 31 - 41
In this paper, we investigate a more general sparse signal recovery minimization model and a smoothing neural network optimal method for compress sensing... 
Sparse signal recovery | Restricted isometry property (RIP) condition | [formula omitted] minimization | Smoothing inertial projection neural network (SIPNN) | minimization | Lp-q minimization | SYSTEMS | OPTIMIZATION | L-1/2 REGULARIZATION | NEUROSCIENCES | LEAST-SQUARES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
IEEE Journal of Solid-State Circuits, ISSN 0018-9200, 07/2015, Volume 50, Issue 7, pp. 1618 - 1628
Pushed by the availability of large fractional bandwidths, many well-established applications are focusing mm-wave spectrum for product deployment. Generation... 
resonator filters | Broadband amplifiers | coupled resonators | millimeter wave integrated circuits | gain-bandwidth product | power amplifiers | CMOS integrated circuits | TRANSCEIVER | DESIGN | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Neurocomputing, ISSN 0925-2312, 09/2016, Volume 205, pp. 22 - 31
In most sparse coding based image restoration and image classification problems, using the non-convex -norm minimization (0≤ <1) can often deliver better... 
ℓ1-norm minimization | Subspace clustering | ℓp-norm minimization | Sparse coding | norm minimization
Journal Article
IAENG International Journal of Applied Mathematics, ISSN 1992-9978, 08/2019, Volume 49, Issue 3, p. 313
The Blaschke-Minkowski homomorphisms and radial Blaschke-Minkowski homomorphisms were defined by Schuster. Recently, Wang et al. extended these concepts to Lp... 
Homomorphisms | Inequalities
Journal Article
Journal of Mathematical Inequalities, ISSN 1846-579X, 03/2016, Volume 10, Issue 1, pp. 159 - 166
Journal Article
IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 07/2016, Volume 27, Issue 7, pp. 1550 - 1561
Journal Article
The EMBO Journal, ISSN 0261-4189, 10/2005, Volume 24, Issue 20, pp. 3565 - 3575
Journal Article
Mathematische Annalen, ISSN 0025-5831, 07/2018, Volume 373, Issue 3-4, pp. 1 - 24
In this paper, we consider the Lp dual Minkowski problem by geometric variational method. Using anisotropic Gauss-Kronecker curvature flows, we establish the... 
MATHEMATICS
Journal Article