The present paper deals with the problem of nonparametric kernel density estimation of the trend function for stochastic processes driven by fractional Brownian motion of the second kind.The consistency,the rate of co...The present paper deals with the problem of nonparametric kernel density estimation of the trend function for stochastic processes driven by fractional Brownian motion of the second kind.The consistency,the rate of convergence,and the asymptotic normality of the kernel-type estimator are discussed.Besides,we prove that the rate of convergence of the kernel-type estimator depends on the smoothness of the trend of the nonperturbed system.展开更多
Nonparametric time-of-arrival（TOA） estimators for impulse radio ultra-wideband（IR-UWB） signals are proposed. Nonparametric detection is obviously useful in situations where detailed information about the statistic...Nonparametric time-of-arrival（TOA） estimators for impulse radio ultra-wideband（IR-UWB） signals are proposed. Nonparametric detection is obviously useful in situations where detailed information about the statistics of the noise is unavailable or not accurate. Such TOA estimators are obtained based on conditional statistical tests with only a symmetry distribution assumption on the noise probability density function. The nonparametric estimators are attractive choices for low-resolution IR-UWB digital receivers which can be implemented by fast comparators or high sampling rate low resolution analog-to-digital converters（ADCs）,in place of high sampling rate high resolution ADCs which may not be available in practice. Simulation results demonstrate that nonparametric TOA estimators provide more effective and robust performance than typical energy detection（ED） based estimators.展开更多
Estimation of density and hazard rate is very important to the reliability analysis of a system. In order to estimate the density and hazard rate of a hazard rate monotonously decreasing system, a new nonparametric es...Estimation of density and hazard rate is very important to the reliability analysis of a system. In order to estimate the density and hazard rate of a hazard rate monotonously decreasing system, a new nonparametric estimator is put forward. The estimator is based on the kernel function method and optimum algorithm. Numerical experiment shows that the method is accurate enough and can be used in many cases.展开更多
A novel supervised dimensionality reduction algorithm, named discriminant embedding by sparse representation and nonparametric discriminant analysis(DESN), was proposed for face recognition. Within the framework of DE...A novel supervised dimensionality reduction algorithm, named discriminant embedding by sparse representation and nonparametric discriminant analysis(DESN), was proposed for face recognition. Within the framework of DESN, the sparse local scatter and multi-class nonparametric between-class scatter were exploited for within-class compactness and between-class separability description, respectively. These descriptions, inspired by sparse representation theory and nonparametric technique, are more discriminative in dealing with complex-distributed data. Furthermore, DESN seeks for the optimal projection matrix by simultaneously maximizing the nonparametric between-class scatter and minimizing the sparse local scatter. The use of Fisher discriminant analysis further boosts the discriminating power of DESN. The proposed DESN was applied to data visualization and face recognition tasks, and was tested extensively on the Wine, ORL, Yale and Extended Yale B databases. Experimental results show that DESN is helpful to visualize the structure of high-dimensional data sets, and the average face recognition rate of DESN is about 9.4%, higher than that of other algorithms.展开更多
观点分析对于社交媒体这一关键的网络舆论阵地有着重要的现实意义。该文基于非参数模型的文本聚类技术,将社交媒体文本根据用户主张的观点汇总,直观呈现用户群体所持有的不同立场。针对社交媒体文本长度短、数量多、情感丰富等特点,该...观点分析对于社交媒体这一关键的网络舆论阵地有着重要的现实意义。该文基于非参数模型的文本聚类技术,将社交媒体文本根据用户主张的观点汇总,直观呈现用户群体所持有的不同立场。针对社交媒体文本长度短、数量多、情感丰富等特点,该文提出使用情感分布增强(Sentiment Distribution Enhanced,SDE)方法改进现有基于狄利克雷过程混合模型的短文本流聚类算法,以高斯分布建模文本情感,并推导相应的坍缩吉布斯采样算法推断参数。该方法在捕获文本情感特征的同时,能够自动确定聚类簇数量并实现观点聚类。与现有先进方法在Tweets、Google News数据集上的对比实验显示,该文提出的方法在标准化互信息、准确度等指标上取得了超越现有模型的聚类表现,并且在主观性较强的数据集上具有更显著的优势。展开更多
为了提高比例积分微分(proportional integral differential,PID)控制器的性能,提出了一种基于子空间模型的PID控制器参数优化方法。首先,利用子空间矩阵等式推导出控制器性能关于PID控制器参数的显式表达。然后,利用具有设定值激励的...为了提高比例积分微分(proportional integral differential,PID)控制器的性能,提出了一种基于子空间模型的PID控制器参数优化方法。首先,利用子空间矩阵等式推导出控制器性能关于PID控制器参数的显式表达。然后,利用具有设定值激励的闭环数据,分别对过程模型和随机扰动模型对应的子空间矩阵进行辨识,并且将估计的动态矩阵直接应用在最优性能的计算中,得到最优的控制器参数值。最后,通过数值仿真和工业实例验证了该方法的有效性。展开更多
基金Supported by the National Natural Science Foundation of China(12101004)the Natural Science Research Project of Anhui Educational Committee(2023AH030021)the Research Startup Foundation for Introducing Talent of Anhui Polytechnic University(2020YQQ064)。
文摘The present paper deals with the problem of nonparametric kernel density estimation of the trend function for stochastic processes driven by fractional Brownian motion of the second kind.The consistency,the rate of convergence,and the asymptotic normality of the kernel-type estimator are discussed.Besides,we prove that the rate of convergence of the kernel-type estimator depends on the smoothness of the trend of the nonperturbed system.
基金supported by the National High Technology Research and Development Program of China(863 Program)(2009AA011204)
文摘Nonparametric time-of-arrival（TOA） estimators for impulse radio ultra-wideband（IR-UWB） signals are proposed. Nonparametric detection is obviously useful in situations where detailed information about the statistics of the noise is unavailable or not accurate. Such TOA estimators are obtained based on conditional statistical tests with only a symmetry distribution assumption on the noise probability density function. The nonparametric estimators are attractive choices for low-resolution IR-UWB digital receivers which can be implemented by fast comparators or high sampling rate low resolution analog-to-digital converters（ADCs）,in place of high sampling rate high resolution ADCs which may not be available in practice. Simulation results demonstrate that nonparametric TOA estimators provide more effective and robust performance than typical energy detection（ED） based estimators.
文摘Estimation of density and hazard rate is very important to the reliability analysis of a system. In order to estimate the density and hazard rate of a hazard rate monotonously decreasing system, a new nonparametric estimator is put forward. The estimator is based on the kernel function method and optimum algorithm. Numerical experiment shows that the method is accurate enough and can be used in many cases.
基金Project(40901216)supported by the National Natural Science Foundation of China
文摘A novel supervised dimensionality reduction algorithm, named discriminant embedding by sparse representation and nonparametric discriminant analysis(DESN), was proposed for face recognition. Within the framework of DESN, the sparse local scatter and multi-class nonparametric between-class scatter were exploited for within-class compactness and between-class separability description, respectively. These descriptions, inspired by sparse representation theory and nonparametric technique, are more discriminative in dealing with complex-distributed data. Furthermore, DESN seeks for the optimal projection matrix by simultaneously maximizing the nonparametric between-class scatter and minimizing the sparse local scatter. The use of Fisher discriminant analysis further boosts the discriminating power of DESN. The proposed DESN was applied to data visualization and face recognition tasks, and was tested extensively on the Wine, ORL, Yale and Extended Yale B databases. Experimental results show that DESN is helpful to visualize the structure of high-dimensional data sets, and the average face recognition rate of DESN is about 9.4%, higher than that of other algorithms.
文摘观点分析对于社交媒体这一关键的网络舆论阵地有着重要的现实意义。该文基于非参数模型的文本聚类技术,将社交媒体文本根据用户主张的观点汇总,直观呈现用户群体所持有的不同立场。针对社交媒体文本长度短、数量多、情感丰富等特点,该文提出使用情感分布增强(Sentiment Distribution Enhanced,SDE)方法改进现有基于狄利克雷过程混合模型的短文本流聚类算法,以高斯分布建模文本情感,并推导相应的坍缩吉布斯采样算法推断参数。该方法在捕获文本情感特征的同时,能够自动确定聚类簇数量并实现观点聚类。与现有先进方法在Tweets、Google News数据集上的对比实验显示,该文提出的方法在标准化互信息、准确度等指标上取得了超越现有模型的聚类表现,并且在主观性较强的数据集上具有更显著的优势。
文摘为了提高比例积分微分(proportional integral differential,PID)控制器的性能,提出了一种基于子空间模型的PID控制器参数优化方法。首先,利用子空间矩阵等式推导出控制器性能关于PID控制器参数的显式表达。然后,利用具有设定值激励的闭环数据,分别对过程模型和随机扰动模型对应的子空间矩阵进行辨识,并且将估计的动态矩阵直接应用在最优性能的计算中,得到最优的控制器参数值。最后,通过数值仿真和工业实例验证了该方法的有效性。
