The concepts of local correlation coefficient, local canonical correlation coefficients and local canonical variables of groups of random variables are defined, which generalize the classical concepts in two groups of...The concepts of local correlation coefficient, local canonical correlation coefficients and local canonical variables of groups of random variables are defined, which generalize the classical concepts in two groups of random variables.These concepts together with total corresponding concepts clarify the correlativity among groups of random variables.展开更多
作为一种3维、实时的监测手段,微震监测通过分析岩体破裂产生的微震信号,评估工程岩体的稳定性,为工程建设和人员安全提供预警。然而,工程现场情况复杂,采集微震信号时通常会混入一定程度的噪声,影响后续微震信号的分析工作。针对这一问...作为一种3维、实时的监测手段,微震监测通过分析岩体破裂产生的微震信号,评估工程岩体的稳定性,为工程建设和人员安全提供预警。然而,工程现场情况复杂,采集微震信号时通常会混入一定程度的噪声,影响后续微震信号的分析工作。针对这一问题,提出一种基于局部均值分解(local mean decomposition,LMD)和奇异值分解(singular value decomposition,SVD)的LMD–SVD联合降噪法以降低噪声干扰。该方法首先使用LMD分解,获得一系列由高频到低频分布的乘积函数(product functions,PF);通过计算原始信号与各个PF分量之间的相关系数,确定含噪信号与有效信号之间的分界位置,将分界分量之前的分量剔除,实现初步降噪。然后,针对LMD分解结果中的残留噪声,使用SVD法,以加权能量贡献率(percent of contribution to total energy,PCTE)作为奇异值阶数的确定方法,对分界PF分量进行降噪处理,实现二次滤波。通过上述处理,最终实现微震信号降噪。在仿真实验中,对于同一带噪的Ricker子波,分别使用经验模态分解(empirical mode decomposition, EMD)、LMD、LMD–SVD这3种方法进行降噪处理。其降噪前后信号的信噪比、波形图及频谱图对比结果表明LMD–SVD是一种更好的降噪方法。此外,对于白鹤滩水电站左岸地下厂房的微震监测系统所采集的信号,运用LMD–SVD对含噪微震信号进行降噪处理,表明本文方法能够有效地去除微震信号中的高频噪声,为后续微震分析工作提供帮助。展开更多
Quantum Mechanics formalism remains difficult to understand and sometimes is confusing, especially in the explanation of ERP paradox and of Bell’s inequalities with entanglement photons. So a chart of conversion, in ...Quantum Mechanics formalism remains difficult to understand and sometimes is confusing, especially in the explanation of ERP paradox and of Bell’s inequalities with entanglement photons. So a chart of conversion, in which elements are named differently, is proposed. Next, experiment about Bell’s inequalities violation is described in another way, and we hope a clearer one. Main result is Bell’s inequalities would not be violated! The explanation would come from confusion between the definition of the correlation function S1, and a property S2. And consequently, Einstein, Podolski and Rosen would be right on the local “hidden” variable.展开更多
In this paper, we analyze the 180 stocks which have the potential influence on the Shanghai Stock Exchange(SSE). First, we use the stock closing prices from January 1, 2005 to June 19, 2015 to calculate logarithmic th...In this paper, we analyze the 180 stocks which have the potential influence on the Shanghai Stock Exchange(SSE). First, we use the stock closing prices from January 1, 2005 to June 19, 2015 to calculate logarithmic the correlation coefficient and then build the stock market model by threshold method. Secondly, according to different networks under different thresholds, we find out the potential influence stocks on the basis of local structural centrality. Finally, by comparing the accuracy of similarity index of the local information and path in the link prediction method, we demonstrate that there are best similarity index to predict the probability for nodes connection in the different stock networks.展开更多
文摘The concepts of local correlation coefficient, local canonical correlation coefficients and local canonical variables of groups of random variables are defined, which generalize the classical concepts in two groups of random variables.These concepts together with total corresponding concepts clarify the correlativity among groups of random variables.
文摘作为一种3维、实时的监测手段,微震监测通过分析岩体破裂产生的微震信号,评估工程岩体的稳定性,为工程建设和人员安全提供预警。然而,工程现场情况复杂,采集微震信号时通常会混入一定程度的噪声,影响后续微震信号的分析工作。针对这一问题,提出一种基于局部均值分解(local mean decomposition,LMD)和奇异值分解(singular value decomposition,SVD)的LMD–SVD联合降噪法以降低噪声干扰。该方法首先使用LMD分解,获得一系列由高频到低频分布的乘积函数(product functions,PF);通过计算原始信号与各个PF分量之间的相关系数,确定含噪信号与有效信号之间的分界位置,将分界分量之前的分量剔除,实现初步降噪。然后,针对LMD分解结果中的残留噪声,使用SVD法,以加权能量贡献率(percent of contribution to total energy,PCTE)作为奇异值阶数的确定方法,对分界PF分量进行降噪处理,实现二次滤波。通过上述处理,最终实现微震信号降噪。在仿真实验中,对于同一带噪的Ricker子波,分别使用经验模态分解(empirical mode decomposition, EMD)、LMD、LMD–SVD这3种方法进行降噪处理。其降噪前后信号的信噪比、波形图及频谱图对比结果表明LMD–SVD是一种更好的降噪方法。此外,对于白鹤滩水电站左岸地下厂房的微震监测系统所采集的信号,运用LMD–SVD对含噪微震信号进行降噪处理,表明本文方法能够有效地去除微震信号中的高频噪声,为后续微震分析工作提供帮助。
文摘Quantum Mechanics formalism remains difficult to understand and sometimes is confusing, especially in the explanation of ERP paradox and of Bell’s inequalities with entanglement photons. So a chart of conversion, in which elements are named differently, is proposed. Next, experiment about Bell’s inequalities violation is described in another way, and we hope a clearer one. Main result is Bell’s inequalities would not be violated! The explanation would come from confusion between the definition of the correlation function S1, and a property S2. And consequently, Einstein, Podolski and Rosen would be right on the local “hidden” variable.
基金Supported by the National Nature Science Foundation of China(71271103,71371087)
文摘In this paper, we analyze the 180 stocks which have the potential influence on the Shanghai Stock Exchange(SSE). First, we use the stock closing prices from January 1, 2005 to June 19, 2015 to calculate logarithmic the correlation coefficient and then build the stock market model by threshold method. Secondly, according to different networks under different thresholds, we find out the potential influence stocks on the basis of local structural centrality. Finally, by comparing the accuracy of similarity index of the local information and path in the link prediction method, we demonstrate that there are best similarity index to predict the probability for nodes connection in the different stock networks.
