In this paper,we introduce the real pairwise completely positive(RPCP)matrices with one of them is necessarily positive semidefinite while the other one is necessarily entrywise nonnegative,which has a real pairwise c...In this paper,we introduce the real pairwise completely positive(RPCP)matrices with one of them is necessarily positive semidefinite while the other one is necessarily entrywise nonnegative,which has a real pairwise completely positive(RPCP)decomposition.We study the properties of RPCP matrices and give some necessary and sufficient conditions for a matrix pair to be RPCP.First,we give an equivalent decomposition for the RPCP matrices,which is different from the RPCP-decomposition and show that the matrix pair(X,X)is RPCP if and only if X is completely positive.Besides,we also prove that the RPCP matrices checking problem is equivalent to the separable completion problem.A semidefinite algorithm is also proposed for detecting whether or not a matrix pair is RPCP.The asymptotic and finite convergence of the algorithm are also discussed.If it is RPCP,we can further give a RPCP-decomposition for it;if it is not,we can obtain a certificate for this.展开更多
[目的]为转基因番茄植株的高通量筛选奠定基础。[方法]利用CTAB法提取番茄叶片总RNA进行Real Time PCR扩增,分析转MI1、2基因的番茄植株表达水平的检测体系。[结果]提取RNA的A260/A280为1.78~1.88,RNA无明显降解。在严谨扩增条件...[目的]为转基因番茄植株的高通量筛选奠定基础。[方法]利用CTAB法提取番茄叶片总RNA进行Real Time PCR扩增,分析转MI1、2基因的番茄植株表达水平的检测体系。[结果]提取RNA的A260/A280为1.78~1.88,RNA无明显降解。在严谨扩增条件下,引物SYBR2的扩增效率高于SYBR1。Mg^2+的适宜浓度为2.0mg/L。Real Time PCR扩增产物具有良好的特异性,熔解曲线特异峰出现在84.5℃附近,在熔解曲线略低于83℃附近有极微弱的非特异峰。因此在定量反应中信号检测步骤应放在84℃。以4种不同模板分子数条件下扩增曲线Ct值得到的回归方程为Y=-3.78×log(copynumber)+39.50,相关系数为0.998。[结论]该试验获得的Real Time PCR体系可用于转基因植株表达水平的检测。展开更多
针对基于单一神经网络的软件可靠性模型预测精度低和可信性差的问题,提出一种基于加权信息熵(WIE)的Real BP-AdaBoost算法。首先,用BP神经网络个体代替Real AdaBoost算法的基分类器,构建Real BP-AdaBoost算法。然后,对Real BP-AdaBoost...针对基于单一神经网络的软件可靠性模型预测精度低和可信性差的问题,提出一种基于加权信息熵(WIE)的Real BP-AdaBoost算法。首先,用BP神经网络个体代替Real AdaBoost算法的基分类器,构建Real BP-AdaBoost算法。然后,对Real BP-AdaBoost算法的加权方式进行改进,以基分类器对训练样本的整体分类权值与基分类器对测试样本的个体分类权值的乘积作为最终的加权系数,得到WIE Real BP-AdaBoost算法。最后,通过2组软件实际失效数据对WIE Real BP-AdaBoost算法的有效性进行验证,并与SVM、BP网络、Elman网络和Real BP-AdaBoost算法进行比较研究。实验结果显示,WIE Real BP-AdaBoost算法对2组数据预测的均方误差分别为0.442 87和0.284 71,均低于4个对比模型的均方误差,说明了WIE Real BP-AdaBoost算法模型具有更高的预测精度和可信性。展开更多
文摘In this paper,we introduce the real pairwise completely positive(RPCP)matrices with one of them is necessarily positive semidefinite while the other one is necessarily entrywise nonnegative,which has a real pairwise completely positive(RPCP)decomposition.We study the properties of RPCP matrices and give some necessary and sufficient conditions for a matrix pair to be RPCP.First,we give an equivalent decomposition for the RPCP matrices,which is different from the RPCP-decomposition and show that the matrix pair(X,X)is RPCP if and only if X is completely positive.Besides,we also prove that the RPCP matrices checking problem is equivalent to the separable completion problem.A semidefinite algorithm is also proposed for detecting whether or not a matrix pair is RPCP.The asymptotic and finite convergence of the algorithm are also discussed.If it is RPCP,we can further give a RPCP-decomposition for it;if it is not,we can obtain a certificate for this.
文摘[目的]为转基因番茄植株的高通量筛选奠定基础。[方法]利用CTAB法提取番茄叶片总RNA进行Real Time PCR扩增,分析转MI1、2基因的番茄植株表达水平的检测体系。[结果]提取RNA的A260/A280为1.78~1.88,RNA无明显降解。在严谨扩增条件下,引物SYBR2的扩增效率高于SYBR1。Mg^2+的适宜浓度为2.0mg/L。Real Time PCR扩增产物具有良好的特异性,熔解曲线特异峰出现在84.5℃附近,在熔解曲线略低于83℃附近有极微弱的非特异峰。因此在定量反应中信号检测步骤应放在84℃。以4种不同模板分子数条件下扩增曲线Ct值得到的回归方程为Y=-3.78×log(copynumber)+39.50,相关系数为0.998。[结论]该试验获得的Real Time PCR体系可用于转基因植株表达水平的检测。
文摘针对基于单一神经网络的软件可靠性模型预测精度低和可信性差的问题,提出一种基于加权信息熵(WIE)的Real BP-AdaBoost算法。首先,用BP神经网络个体代替Real AdaBoost算法的基分类器,构建Real BP-AdaBoost算法。然后,对Real BP-AdaBoost算法的加权方式进行改进,以基分类器对训练样本的整体分类权值与基分类器对测试样本的个体分类权值的乘积作为最终的加权系数,得到WIE Real BP-AdaBoost算法。最后,通过2组软件实际失效数据对WIE Real BP-AdaBoost算法的有效性进行验证,并与SVM、BP网络、Elman网络和Real BP-AdaBoost算法进行比较研究。实验结果显示,WIE Real BP-AdaBoost算法对2组数据预测的均方误差分别为0.442 87和0.284 71,均低于4个对比模型的均方误差,说明了WIE Real BP-AdaBoost算法模型具有更高的预测精度和可信性。