Group testing is a method that can be used to estimate the prevalence of rare infectious diseases,which can effectively save time and reduce costs compared to the method of random sampling.However,previous literature ...Group testing is a method that can be used to estimate the prevalence of rare infectious diseases,which can effectively save time and reduce costs compared to the method of random sampling.However,previous literature only demonstrated the optimality of group testing strategy while estimating prevalence under some strong assumptions.This article weakens the assumption of misclassification rate in the previous literature,considers the misclassification rate of the infected samples as a differentiable function of the pool size,and explores some optimal properties of group testing for estimating prevalence in the presence of differential misclassification conforming to this assumption.This article theoretically demonstrates that the group testing strategy performs better than the sample by sample procedure in estimating disease prevalence when the total number of sample pools is given or the size of the test population is determined.Numerical simulation experiments were conducted to evaluate the performance of group tests in estimating prevalence in the presence of dilution effect.展开更多
本文利用分子动力学模拟方法对相同初始沉积条件下的单个Cu原子和Cu_(13)团簇与Fe(001)表面的相互作用分别进行了模拟研究,并将两者的模拟结果进行了比较分析.单个Cu原子和Cu_(13)团簇的初始入射能量范围均为1 e V/atom、3 e V/atom、5 ...本文利用分子动力学模拟方法对相同初始沉积条件下的单个Cu原子和Cu_(13)团簇与Fe(001)表面的相互作用分别进行了模拟研究,并将两者的模拟结果进行了比较分析.单个Cu原子和Cu_(13)团簇的初始入射能量范围均为1 e V/atom、3 e V/atom、5 e V/atom和10 e V/atom,初始入射角度均为0°、10°、30°和45°,衬底温度分别为100 K、300 K和800 K.对单个Cu原子和Cu_(13)团簇的原子动能、质心高度、迁移距离和最终沉积形貌进行了分析,对比研究了相同初始沉积条件下单个Cu原子和Cu_(13)团簇在沉积过程中和沉积效果上的具体差异.模拟结果表明:单个Cu原子和Cu_(13)团簇与Fe(001)表面的相互作用机制存在差异,Cu_(13)团簇表现出显著的集体效应.在特定沉积条件下,由于Cu_(13)团簇的集体效应,导致Cu_(13)团簇与Fe(001)表面的结合能力和在Fe(001)表面上的扩散能力均强于单个Cu原子.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.72091212).
文摘Group testing is a method that can be used to estimate the prevalence of rare infectious diseases,which can effectively save time and reduce costs compared to the method of random sampling.However,previous literature only demonstrated the optimality of group testing strategy while estimating prevalence under some strong assumptions.This article weakens the assumption of misclassification rate in the previous literature,considers the misclassification rate of the infected samples as a differentiable function of the pool size,and explores some optimal properties of group testing for estimating prevalence in the presence of differential misclassification conforming to this assumption.This article theoretically demonstrates that the group testing strategy performs better than the sample by sample procedure in estimating disease prevalence when the total number of sample pools is given or the size of the test population is determined.Numerical simulation experiments were conducted to evaluate the performance of group tests in estimating prevalence in the presence of dilution effect.
文摘本文利用分子动力学模拟方法对相同初始沉积条件下的单个Cu原子和Cu_(13)团簇与Fe(001)表面的相互作用分别进行了模拟研究,并将两者的模拟结果进行了比较分析.单个Cu原子和Cu_(13)团簇的初始入射能量范围均为1 e V/atom、3 e V/atom、5 e V/atom和10 e V/atom,初始入射角度均为0°、10°、30°和45°,衬底温度分别为100 K、300 K和800 K.对单个Cu原子和Cu_(13)团簇的原子动能、质心高度、迁移距离和最终沉积形貌进行了分析,对比研究了相同初始沉积条件下单个Cu原子和Cu_(13)团簇在沉积过程中和沉积效果上的具体差异.模拟结果表明:单个Cu原子和Cu_(13)团簇与Fe(001)表面的相互作用机制存在差异,Cu_(13)团簇表现出显著的集体效应.在特定沉积条件下,由于Cu_(13)团簇的集体效应,导致Cu_(13)团簇与Fe(001)表面的结合能力和在Fe(001)表面上的扩散能力均强于单个Cu原子.
