Cytometry inference through adaptive atomic deconvolution

In this paper, we consider a statistical estimation problem known as atomic deconvolution. Introduced in reliability, this model has a direct application when considering biological data produced by flow cytometers. From a statistical point of view, we aim at inferring the percentage of cells expressing the selected molecule and the probability distribution function associated with its fluorescence emission. We propose here an adaptive estimation procedure based on a previous deconvolution procedure introduced by Es, Gugushvili, and Spreij [(2008), ‘Deconvolution for an atomic distribution’, Electronic Journal of Statistics, 2, 265–297] and Gugushvili, Es, and Spreij [(2011), ‘Deconvolution for an atomic distribution: rates of convergence’, Journal of Nonparametric Statistics, 23, 1003–1029]. For both estimating the mixing parameter and the mixing density automatically, we use the Lepskii method based on the optimal choice of a bandwidth using a bias-variance decomposition. We then derive some convergence rates that are shown to be minimax optimal (up to some log terms) in Sobolev classes. Finally, we apply our algorithm on the simulated and real biological data.     

Robustness of a Class of Partial Diallel Cross Designs to the Unavailability of a Complete Block of Observations

Complete and partial diallel cross designs are examined as to their construction and robustness against the loss of a block of observations. A simple generalized inverse is found for the information matrix of the line effects, which allows evaluation of expressions for the variances of the line-effect differences with and without the missing block. A-efficiencies, based on average variances of the elementary contrasts of the line-effects, suggest that these designs are fairly robust. The loss of efficiency is generally less than 10%, but it is shown that specific comparisons might suffer a loss of efficiency of as much as 40%.     

冗余度机器人的运动规划碰撞算法

在考虑了操作机的关节极限、自碰撞和静态障碍物的情况下,从给定的初始位形出发,发现一条到末端效应器目标位置和姿态的相连可到达路径。方法给出了机器人操作机点到点逆运动学问题求解算法,利用碰撞算法实现了冗余度机器人运动规划,仿真验证了该方法的有效性,并表明了该方法具有较大的实用价值。     

A general inverse sampling scheme and its application to adaptive cluster sampling

Not having a variance estimator is a seriously weak point of a sampling design from a practical perspective. This paper provides unbiased variance estimators for several sampling designs based on inverse sampling, both with and without an adaptive component. It proposes a new design, which is called the general inverse sampling design, that avoids sampling an infeasibly large number of units. The paper provide estimators for this design as well as its adaptive modification. A simple artificial example is used to demonstrate the computations. The adaptive and non‐adaptive designs are compared using simulations based on real data sets. The results indicate that, for appropriate populations, the adaptive version can have a substantial variance reduction compared with the non‐adaptive version. Also, adaptive general inverse sampling with a limitation on the initial sample size has a greater variance reduction than without the limitation.     

刚体转动渐进跟踪控制的逆系统方法

逆系统方法是以非线性控制为目的,以直接分析为途径,以动态系统的逆概念为核心。该文将逆系统方法应用于刚体动力学中,运用非线性控制的逆系统方法设计Euler动力学方程的控制器,通过对一个陀螺的外力矩进行实施控制,使刚体在动坐标系下的角速度稳定跟踪指令,来实现对刚体转动的渐进跟踪控制。     

电弧炉电极系统双模控制策略研究及应用

针对交流电弧炉电极控制系统具有非线性时变、多变量、强耦合及存在随机干扰的特点,采用基于最近邻聚类方法的径向基函数(RBF)神经网络快速学习算法,通过实时在线辨识,建立电弧炉电极系统的精确逆模型并用于控制,实现了将具有强耦合特性的多变量输入/输出(MIMO)系统解耦成单个独立的伪线性对象,并提出一种基于RBF神经网络逆控制与比例微分(P/D)控制相结合的双模控制策略。应用结果证实了该控制策略具有快速适应对象和过程变化的能力及较强的鲁棒性。     

初等r-循环矩阵的几个性质

给出了初等ｒ－循环矩阵可逆的充要条件及逆矩阵的表达式;对奇异的初等ｒ－循环矩阵给出了Ａ的一个ｇ－逆Ｇ（满足ＡＧＡ＝Ａ,ＧＡＧ＝Ｇ）及Ｍｏｏｒｅ－ｐｅｎｒｏｓｅ广义逆矩阵的表达式．     

Estimation of critical points in the mixture inverse Gaussian model

The maximum likelihood estimation for the critical points of the failure rate and the mean residual life function are presented in the case of mixture inverse Gaussian model. Several important data sets are analyzed from this point of view. For each of the data sets, Bootstrapping is used to construct confidence intervals of the critical points.     

Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results

Given a (combinatorial) optimization problem and a feasible solution to it, the corresponding inverse optimization problem is to find a minimal adjustment of the cost function such that the given solution becomes optimum.Several such problems have been studied in the last twelve years. After formalizing the notion of an inverse problem and its variants, we present various methods for solving them. Then we discuss the problems considered in the literature and the results that have been obtained. Finally, we formulate some open problems.     

公众参与引导下的重大工程社会矛盾化解机制

新时代网络社会的不确定性、突变性等特征极大地颠覆了重大工程社会矛盾的阶段演化特性,对传统封闭性的社会矛盾化解机制设计提出了新挑战,具有多元非中心性的公众参与在应对该挑战中可发挥重要的引导作用。基于裂缝假说分析重大工程社会冲突困境,提出建立与公众参与水平相匹配的参与制度是困境化解的关键路径;将公众参与成熟度作为公众参与水平划分工具,按照低、中、高将其划分为3 个水平;引入网络化治理理论,建立与公众参与水平相匹配的公众参与机制,即形成“政府主导-社区参与”型、“政府引导-社会组织介入”型、“政府与社会组织协同合作”型机制,推动公众参与引导重大工程社会矛盾的自我疏导、自我治理和自我化解,形成全民共建共享的网络化治理新格局。