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1. Oracally efficient estimation of innovation quantile andprediction bounds for autoregressive time series | |||
XU Hui,YANG Li-Jian,HÄRDLE Wolfgang K. | |||
Mathematics 07 January 2017 | |||
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Abstract:An estimator is proposed for the quantile of autoregressive time serieserror distribution, based on kernel smoothing of Yule-Walker residuals. Itis proved under mild assumptions that the quantile estimator is oracallyefficient as the infeasible sample quantile estimator based on unobservederrors, and thus follows the same asymptotic normal distribution. Predictioninterval for future observation is constructed using the estimated quantilesand shown to possess asymptotically the prescribed confidence level.Simulation examples support the asymptotic theory and an application to realdata example is provided for illustration. | |||
TO cite this article:XU Hui,YANG Li-Jian,HÄRDLE Wolfgang K.. Oracally efficient estimation of innovation quantile andprediction bounds for autoregressive time series[OL].[ 7 January 2017] http://en.paper.edu.cn/en_releasepaper/content/4716925 |
2. The separation of a binary relative constant-weight code | |||
LIU Yi-Wei,LIAO Da-Jian,GAO Ying,LIU Zi-Hui | |||
Mathematics 27 November 2016 | |||
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Abstract:Certain formula for computing the minimumvalues of the cardinality of separating coordinate position of thecodeword sets are presented for any binary linear code. With theabove formula, this paper have determined the separation of any codewordsets of a binary relative constant-weight code in terms of codeparameters. A method of constructing binary $(2,1)$-separating and$(2,2)$-separating codes is presented. | |||
TO cite this article:LIU Yi-Wei,LIAO Da-Jian,GAO Ying, et al. The separation of a binary relative constant-weight code[OL].[27 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4711868 |
3. Decay property for solutions to plate type equations with time-delay dissipation | |||
MAO Shi-Kuan,CHENG Qiong | |||
Mathematics 09 October 2016 | |||
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Abstract:In this paper an inertial model for a plate equation with time-delay dissipation in $mathbb{R}^n (nge1)$ is considered, and the decay estimate as well as the regularity-loss property for this type of equation are studied. Due to the presence of the $u_t$ in the memory term, the usual method could not be used. By rounding this difficulty, the problem is transfered to a special inhomogeneous problem with the usual type of memory term. Then the result is obtained by a somewhat different argument which is used to deal with the inhomogeneous term. Another novelty of this paper is that both the decay and regularity are controlled by high frequency, compared with the results in the literatures. Thus, a similar result holds without the $L^1(mathbb{R}^n)$ assumption for the initial data. | |||
TO cite this article:MAO Shi-Kuan,CHENG Qiong. Decay property for solutions to plate type equations with time-delay dissipation[OL].[ 9 October 2016] http://en.paper.edu.cn/en_releasepaper/content/4706672 |
4. The system of variational inequalities with hierarchical fixed point problem constraint | |||
ZENG Liu-Chuan | |||
Mathematics 20 June 2016 | |||
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Abstract:In this paper, we introduce a general composite implicit schemefor finding a common solution of a system of variational inequalities (SVI) anda generalized mixed equilibrium problem with the constraint of the hierarchicalfixed point problem (HFPP) for a strictly pseudocontractive mapping in a realHilbert space. The strong convergence theorem for such an implicit scheme isestablished under some suitable assumptions. The result is the extension andimprovement of some corresponding ones in the literature. | |||
TO cite this article:ZENG Liu-Chuan. The system of variational inequalities with hierarchical fixed point problem constraint[OL].[20 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4698655 |
5. Convergence Analysis on a Derivative-Free Descent Method for Nonlinear Complementarity Problems | |||
Wei-Zhe Gu,Li-Yong Lu | |||
Mathematics 17 June 2016 | |||
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Abstract:Recently, Hu, Huang and Chen, in the paper[Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems] introduced a family of generalized NCP-functions, which include many existing NCP-functions as special cases. They obtained several favorite properties of the functions; and by which, they showed that a derivative-free descent method is globally convergent under suitable assumptions. However, no result on convergent rate of the method was reported. In this paper, we further investigate some properties of this family of generalized NCP-functions. In particular, we show that, under suitable assumptions, the iterative sequence generated by the descent method discussed in their paper converges globally at a linear rate to a solution of the nonlinear complementarity problem. | |||
TO cite this article:Wei-Zhe Gu,Li-Yong Lu. Convergence Analysis on a Derivative-Free Descent Method for Nonlinear Complementarity Problems[OL].[17 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4697495 |
6. Existence of strong solutions for generalized vector equilibrium problems in Banach spaces | |||
ZENG Liu-Chuan | |||
Mathematics 17 June 2016 | |||
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Abstract:The purpose of this paper is to study the existence of strong solutions for the generalizedvector equilibrium problem (for short, GVEP) with a variable ordering relation in reflexive Banachspaces. The existence theorem of strong solutions of the GVEP for monotone multifunction isestablished by virtue of the KKM-Fan theorem. The result is the extension and improvement ofsome corresponding ones in the literature. | |||
TO cite this article:ZENG Liu-Chuan. Existence of strong solutions for generalized vector equilibrium problems in Banach spaces[OL].[17 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4698299 |
7. Multistability of Competitive Neural Networks with Non-monotonic Piecewise Linear Activation Functions | |||
NIE Xiao-Bing, CAO Jin-De, FEI Shu-Min | |||
Mathematics 30 May 2016 | |||
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Abstract:This paper addresses the issue of multistability for competitive neural networks. First, a general class of continuous non-monotonic piecewise linear activation functions is introduced. Then, based on the fixed point theorem, the contraction mapping theorem and the eigenvalue properties of strict diagonal dominance matrix, it is shown that under some conditions, such $n$-neuron competitive neural networks have exactly $5^n$ equilibrium points, among which $3^n$ equilibrium points are locally exponentially stable. Moreover, it is revealed that the neural networks with non-monotonic piecewise linear activation functions introduced in this paper can have greater storage capacity than the ones with Mexican-hat-type activation function. | |||
TO cite this article:NIE Xiao-Bing, CAO Jin-De, FEI Shu-Min. Multistability of Competitive Neural Networks with Non-monotonic Piecewise Linear Activation Functions[OL].[30 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4693708 |
8. Quantile regression and its empirical likelihood with missing response at random | |||
SHEN Yu,LIANG Han-Ying | |||
Mathematics 12 May 2016 | |||
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Abstract:In this paper, we study the linear quantile regression model when response data are missing at random. Based on the inverse probability weight, we establish an estimation equation on quantile regression and define the quantile regression estimator of unknown parameter. At the same time, we construct the empirical likelihood (EL) ratio function for the unknown parameter, and define the maximum EL estimator of the unknown parameter. Under suitable assumptions, we investigate the asymptotic normality of the proposed estimators and prove the EL ratio statistics has a standard chi-squared limiting distribution. | |||
TO cite this article:SHEN Yu,LIANG Han-Ying. Quantile regression and its empirical likelihood with missing response at random[OL].[12 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4689936 |
9. Lagrange Type Optimality Conditions of Constrained Multi-Objective Optimization Problems | |||
YOU Man-Xue,LI Sheng-Jie | |||
Mathematics 10 May 2016 | |||
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Abstract:This paper aims at investigating Lagrangian type optimality conditions in the context of constrained multi-objective optimization problems via Image Space Analysis. The equivalence between the existence of a regular (linear) separation in the Image Space and the existence of a saddle point for Lagrangian function is derived. Furthermore, we give some examples of regular separation functions, especially we use Gerstewitz function and augmented Lagrangian function to construct nonlinear separation functions. | |||
TO cite this article:YOU Man-Xue,LI Sheng-Jie. Lagrange Type Optimality Conditions of Constrained Multi-Objective Optimization Problems[OL].[10 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687572 |
10. Long Wavelength Limit for the Quantum Euler-Poisson Equation | |||
LIU Hui-Min,PU Xue-Ke | |||
Mathematics 18 April 2016 | |||
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Abstract:In this paper, we consider the long wavelength limit for the quantum Euler-Poisson equation. Under the Gardner-Morikawa transform, we derive the quantum Korteweg-de Vries (KdV) equation by a singular perturbation method. We show that the KdV dynamics can be seen at time interval of order $O(epsilon^{-3/2})$. When the nondimensional quantum parameter $H=2$, it reduces to the inviscid Burgers equation. | |||
TO cite this article:LIU Hui-Min,PU Xue-Ke. Long Wavelength Limit for the Quantum Euler-Poisson Equation[OL].[18 April 2016] http://en.paper.edu.cn/en_releasepaper/content/4684352 |
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