Gaussian process (GP) regression is a Bayesian nonparametric model showing good performance in various applications. However, its hyperparameter-estimating procedure may contain numerous matrix manipulations of O(N<sup>3</sup>) arithmetic operations, in addition to the O(N<sup>2</sup>)-level stor...
Gaussian graphical models (GGMs) are a set of novel methods that can address this issue. Objective: We sought to apply GGMs to derive sex-specific dietary intake networks representing consumption patterns in a German adult population. Methods: Dietary intake data from 10,780 men and 16,340 ...
Gaussian-2 and Gaussian-3 study of the energetics and structures of Cl{sub 2}O{sub n} and Cl{sub 2}O{sub n}{sup +}, n = 1--7 The structures and energetics of the dichlorine oxides, Cl{sub 2}O{sub n}, n = 1 {minus} 7, and their cations have been investigated ...
The centers of the Gaussian functions are uniformly distributed on the unit hypercube. From the view point of the best approximation theory, an upper bound of this approximation O(/spl sigma//sup 2/+N/sup -2/) Is obtained, where/spl sigma/ is the deviation of Gaussians. Our results ...
by quadrature-quadrature amplitude-phase-shift keying (Q/sup 2/APSK), is compared to the original Q/sup 2/PSK modulation scheme, as well as to conventional two-dimensional QPSK and QAM modulation strategies under realistic bandlimiting conditions in the presence of additive white Gaussian noise. ...
The structures and energies of neutral and charged arsenic sulfides As<sub class="a-plus-plus"> n </sub>S<sup class="a-plus-plus">(−1,0,+1)</sup> (n = 1–7) were systematically investigated using the G3 method. The bonding properties and the stabilities of As<sub class=...
Csorgő, Limsup results and LIL for partial sum processes of a Gaussian random field, Acta Math. Sin. (Engl. Ser.) 24 (9) (2008) 1497-1506.Y. K. Choi and M. Cs¨org˝o, Limsup results and LIL for partial sum processes of a Gauss- ian random field, Acta Math. Sinica. 24...
Wang Xiqing,Lu Baida.The M~2 factor of Hermite-cosh-Gaussian beams. Journal of Modern Optics . 2001Wang X Q, Lü B D. The M^2 factor of Hermite-cosh-Gaussian beams[J]. Journal of Modern Optics, 2001, 48:2097--2103.Xiqing Wang,Baida Lu.The M2 factor of hermite-cosh-gaussian beams...
Gaussian random fieldregularly varying functionsecond Borel-Cantelli lemmalarge deviation probability60F1560G15We establish strong limsup theorems related to the law of the iterated logarithm (LIL) for finite dimensional Gaussian random fields by using the second Borel-Cantelli lemma....
Examines Liouville-type theorems for conformal Gaussian curvature equations in R[sup2]. Derivation of an elementary identity for smooth solutions of an equation to acquire global properties of the solutions.YangYun YanActa Mathematica Sinica