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Limit theorems for functionals of Gaussian vectors
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作者 Hongshuai DAI Guangjun SHEN Lingtao KONG 《Frontiers of Mathematics in China》 SCIE CSCD 2017年第4期821-842,共22页
Operator self-similar processes, as an extension of self-similar processes, have been studied extensively. In this work, we study limit theorems for functionals of Gaussian vectors. Under some conditions, we determine... Operator self-similar processes, as an extension of self-similar processes, have been studied extensively. In this work, we study limit theorems for functionals of Gaussian vectors. Under some conditions, we determine that the limit of partial sums of functionals of a stationary Gaussian sequence of random vectors is an operator self-similar process. 展开更多
关键词 gaussian vector operator self-similar process operator fractional Brownian motion scaling limit
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Structural polarization properties of vector Gaussian beam in the far field
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作者 周国泉 倪涌舟 储修祥 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第11期3377-3381,共5页
Based on the vector angular spectrum representation of optical beam and the method of stationary phase, the analytical TE and TM terms of vector Gaussian beam have been presented in the far field. By using the local p... Based on the vector angular spectrum representation of optical beam and the method of stationary phase, the analytical TE and TM terms of vector Gaussian beam have been presented in the far field. By using the local polarization matrix, the polarization properties of the TE and TM terms in the far field are investigated, and it is found that the degree of their polarization is only determined by the spatial location. When the source is completely polarized, the TE and TM terms are both completely polarized in the far field. When the source is completely unpolarized, the TE and TM terms in the far field are partially polarized. The whole beam is also partially polarized except on the propagating axis. Moreover, the degrees of polarization of TE and TM terms are both larger than that of the whole beam. 展开更多
关键词 vector gaussian beam vectorial structure local polarization matrix degree of polarization
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Determination of reservoir induced earthquake using support vector machine and gaussian process regression
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作者 Pijush Samui Dookie Kim 《Applied Geophysics》 SCIE CSCD 2013年第2期229-234,237,共7页
The prediction of magnitude (M) of reservoir induced earthquake is an important task in earthquake engineering. In this article, we employ a Support Vector Machine (SVM) and Gaussian Process Regression (GPR) for... The prediction of magnitude (M) of reservoir induced earthquake is an important task in earthquake engineering. In this article, we employ a Support Vector Machine (SVM) and Gaussian Process Regression (GPR) for prediction of reservoir induced earthquake M based on reservoir parameters. Comprehensive parameter (E) and maximum reservoir depth] (H) are considered as inputs to the SVM and GPR. We give an equation for determination oil reservoir induced earthquake M. The developed SVM and GPR have been compared with] the Artificial Neural Network (ANN) method. The results show that the developed SVM and] GPR are efficient tools for prediction of reservoir induced earthquake M. / 展开更多
关键词 Reservoir induced earthquake earthquake magnitude Support Vector Machine gaussian Process Regression PREDICTION
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Advances in SVM-Based System Using GMM Super Vectors for Text-Independent Speaker Verification
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作者 赵剑 董远 +3 位作者 赵贤宇 杨浩 陆亮 王海拉 《Tsinghua Science and Technology》 SCIE EI CAS 2008年第4期522-527,共6页
For text-independent speaker verification, the Gaussian mixture model (GMM) using a universal background model strategy and the GMM using support vector machines are the two most commonly used methodologies. Recentl... For text-independent speaker verification, the Gaussian mixture model (GMM) using a universal background model strategy and the GMM using support vector machines are the two most commonly used methodologies. Recently, a new SVM-based speaker verification method using GMM super vectors has been proposed. This paper describes the construction of a new speaker verification system and investigates the use of nuisance attribute projection and test normalization to further enhance performance. Experiments were conducted on the core test of the 2006 NIST speaker recognition evaluation corpus. The experimental results indicate that an SVM-based speaker verification system using GMM super vectors can achieve appealing performance. With the use of nuisance attribute projection and test normalization, the system performance can be significantly improved, with improvements in the equal error rate from 7.78% to 4.92% and detection cost function from 0.0376 to 0.0251. 展开更多
关键词 support vector machines gaussian mixture model super vector nuisance attribute projection test normalization speaker verification NIST 06 speaker recognition evaluation
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Functional Limit Theorems for d-dimensional FBM in H lder Norm 被引量:2
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作者 Zheng Yan LIN Wen Sheng WANG Kyo Shin HWANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第6期1767-1780,共14页
In this paper, we obtain functional limit theorems for d-dimensional FBM in HSlder norm via estimating large deviation probabilities for d-dimensional FBM in HSlder norm.
关键词 large deviation probability Holder norm functional limit theorem d-dimensional fractional Brownian motion gaussian random vector
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