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ANZIAM Journal, ISSN 1446-1811, 04/2017, Volume 58, Issue 3-4, pp. 238 - 246
We address the construction and approximation for feed-forward neural networks (FNNs) with zonal functions on the unit sphere. The filtered de la... 
approximation | zonal function | error | neural networks | MATHEMATICS, APPLIED | SCATTERED DATA
Journal Article
Neurocomputing, ISSN 0925-2312, 01/2016, Volume 175, pp. 348 - 354
Journal Article
Neural Networks, ISSN 0893-6080, 03/2015, Volume 63, pp. 57 - 65
Journal Article
Neural Networks, ISSN 0893-6080, 09/2011, Volume 24, Issue 7, pp. 752 - 758
Journal Article
Journal Article
Neural Networks, ISSN 0893-6080, 2003, Volume 16, Issue 2, pp. 183 - 203
Journal Article
SOLAR PHYSICS, ISSN 0038-0938, 11/2015, Volume 290, Issue 11, pp. 3221 - 3256
We present a comprehensive study of one method for measuring various parameters of global modes of oscillation of the Sun. Using velocity data taken by the... 
ZONAL FLOWS | VELOCITY | FREQUENCIES | NETWORK GROUP | OSCILLATION POWER SPECTRA | EIGENFUNCTIONS | DIFFERENTIAL ROTATION | ASTRONOMY & ASTROPHYSICS | Oscillations, solar | TIME-SERIES | P-MODE PARAMETERS | SOLAR OSCILLATIONS | Helioseismology, observations | Differential rotation | MDI | Window functions | Spherical harmonics | Time series | Michelson | Doppler effect | Doppler
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2008, Volume 47, Issue 1, pp. 440 - 466
Journal Article
Taiwanese Journal of Mathematics, ISSN 1027-5487, 6/2011, Volume 15, Issue 3, pp. 1325 - 1340
In the present paper, we estimate the covering number for some reproducing kernel Hilbert spaces on the unit sphere. Both the upper bounds and the lower bounds... 
Integers | Eigenvalues | Hilbert spaces | Euclidean space | Spherical harmonics | Covering number | Reproducing kernel hilbert spaces | INTERPOLATION | MATHEMATICS | SUPPORT VECTOR MACHINES | SMOOTH FUNCTIONS | SCATTERED DATA | APPROXIMATION | ZONAL FUNCTION NETWORKS | Reproducing kernel Hilbert spaces | LEARNING-THEORY | REGULARIZATION NETWORKS
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 2010, Volume 2010, pp. 1 - 18
It is known that in the field of learning theory based on reproducing kernel Hilbert spaces the upper bounds estimate for a K-functional is needed. In the... 
MATHEMATICS | SUPPORT VECTOR MACHINES | MATHEMATICS, APPLIED | SMOOTH FUNCTIONS | SCATTERED DATA | APPROXIMATION | ZONAL FUNCTION NETWORKS | BANACH-SPACES | SPHERE | REGULARIZED CLASSIFIERS | SVM CLASSIFIERS | BERNSTEIN POLYNOMIALS | Studies | Hilbert space | Mathematical functions | Mathematical analysis
Journal Article
MATHEMATICS OF COMPUTATION, ISSN 0025-5718, 07/2010, Volume 79, Issue 271, pp. 1647 - 1679
The purpose of this paper is to establish L-p error estimates, a Bernstein inequality, and inverse theorems for approximation by a space comprising spherical... 
Sphere | SCATTERED DATA INTERPOLATION | MATHEMATICS, APPLIED | approximation | spherical basis functions | POLYNOMIAL FRAMES | SPACES | BESOV | Bernstein estimates | ZONAL FUNCTION NETWORKS | SPHERES | INVERSE
Journal Article
PLoS ONE, ISSN 1932-6203, 09/2014, Volume 9, Issue 9, p. e108372
Journal Article
Journal of Complexity, ISSN 0885-064X, 2007, Volume 23, Issue 4, pp. 528 - 552
Let q ⩾ 1 be an integer, S q denote the unit sphere embedded in the Euclidean space R q + 1 , and μ q be its Lebesgue surface measure. We establish upper and... 
Sphere | Polynomial frames | Quadrature formulas on the sphere | Numerical integration | Besov spaces on the sphere | MATHEMATICS, APPLIED | numerical integration | SMOOTH FUNCTIONS | APPROXIMATION | ZONAL FUNCTION NETWORKS | polynomial frames | MATHEMATICS | CUBATURE ERROR | sphere | NUMERICAL-INTEGRATION | quadrature formulas on the sphere | POLYNOMIAL OPERATORS
Journal Article
Lobachevskii Journal of Mathematics, ISSN 1995-0802, 9/2016, Volume 37, Issue 5, pp. 626 - 635
We propose a new two-level iterative method for solution of a general problem of optimal allocation of a homogeneous resource (bandwidth) in a wireless... 
bandwidth | Resource allocation | information exchange schemes | Probability Theory and Stochastic Processes | wireless networks | Mathematics | Geometry | conditional gradient method | Algebra | Analysis | dual Lagrange method | Mathematics, general | zonal network partition | Mathematical Logic and Foundations | Telecommunication systems | Methods
Journal Article
Energies, ISSN 1996-1073, 01/2020, Volume 13, Issue 1, p. 249
The penetration of photovoltaic (PV) outputs brings great challenges to optimal operation of active distribution networks (ADNs), especially leading to more... 
network partition | zonal voltage control | photovoltaic generation | zonal scheduling
Journal Article
Journal of Geophysical Research - Space Physics, ISSN 0148-0227, 05/2008, Volume 113, Issue A5, pp. A05301 - n/a
Occurrence characteristic of plasma bubble was studied using ground‐based GPS receiver networks. The occurrence rate of plasma bubble derived from the global... 
Electromagnetics | Plasmas | GPS‐TEC | ionosphere | plasma bubble | SOLAR-CYCLE | IONOSPHERE | FLUCTUATIONS | ASTRONOMY & ASTROPHYSICS | EQUATORIAL SPREAD-F | PEDERSEN CONDUCTIVITY | IRREGULARITIES | HAWAII | NEUTRAL WINDS | ZONAL ELECTRIC-FIELDS | SCINTILLATIONS
Journal Article