Interpersonal attraction and personality: What is attractive--self similarity, ideal similarity, complementarity or attachment security?

Little is known about whether personality characteristics influence initial attraction. Because adult attachment differences influence a broad range of relationship processes, the authors examined their role in 3 experimental attraction studies. The authors tested four major attraction hypotheses--self similarity, ideal-self similarity, complementarity, and attachment security--and examined both actual and perceptual factors. Replicated analyses across samples, designs, and manipulations showed that actual security and self similarity predicted attraction. With regard to perceptual factors, ideal similarity, self similarity, and security all were significant predictors. Whereas perceptual ideal and self similarity had incremental predictive power, perceptual security's effects were subsumed by perceptual ideal similarity. Perceptual self similarity fully mediated actual attachment similarity effects, whereas ideal similarity was only a partial mediator. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

A method to find all solutions of a system of multivariate polynomial equalities and inequalities in the max algebra

In this paper we show that finding solutions of a system of multivariate polynomial equalities and inequalities in the max algebra is equivalent to solving an Extended Linear Complementarity Problem. This allows us to find all solutions of such a system of multivariate polynomial equalities and inequalities and provides a geometrical insight in the structure of the solution set. We also demonstrate that this enables us to solve many important problems in the max algebra and the max-min-plus algebra such as matrix decompositions, construction of matrices with a given characteristic polynomial, state space transformations and the (minimal) state space realization problem.Research assistant with the N.F.W.O. (Belgian National Fund for Scientific Research).Senior research associate with the N.F.W.O.     

几种特殊矩阵的Pareto特征值问题

Pareto特征值问题是定义在正卦限上一类锥约束问题,在许多领域有着深厚的背景。将讨论Pareto特征值的一些理论性质,包括给定矩阵Pareto特征值范围及个数上界。引进了一类新矩阵,讨论并给出它的部分理论性质,可直接计算其最大Pareto特征值。     

非负线性最小二乘问题的一种严格可行内点算法

给出了非负线性最小二乘问题的一个新算法。首先,把非负线性最小二乘转化为线性互补问题,结合牛顿方向和中心路径方向,通过求解一个线性方程组得到搜索方向;进而获得了求解非负线性最小二乘问题的一种严格可行内点算法,并证明该算法经过多项式次迭代之后收敛到原问题的一个最优解,数值实验表明此方法是有效的。     

一类离散Markov跳跃系统基于状态观测器的鲁棒H_∞控制

研究了具有不确定性的模式依赖时滞离散Markov跳跃系统基于状态观测器的鲁棒H∞控制问题。目的是构建依赖于系统模式的观测器和控制器,使得闭环系统是随机稳定的且具有较好的H∞干扰抑制性能。通过选取合适的随机Lyapunov函数,利用线性矩阵不等式,给出了鲁棒H∞控制器存在的时滞依赖条件。基于锥补线性化算法对控制器进行求解,得到了模式依赖观测器和控制器。最后通过数值仿真证明了本文方法的可行性。     

一种基于非光滑信赖域理论的经济学均衡问题新算法

针对一般经济均衡问题模型,将其转换为非线性互补问题模型,提出了应用非光滑信赖域算法对其进行求解的新方法.在适当的条件下,证明了此算法是全局收敛的,并通过数值试验表明该算法是可行有效的.     

不确定性线性系统的H_∞输出反馈鲁棒重复控制

为了抑制乘性不确定性线性系统中的外部扰动,提出了一种重复控制器与输出反馈控制器参数同时优化的方法.引入一个假想摄动将系统的扰动抑制问题归结为具有结构型摄动的系统鲁棒稳定性问题.根据小增益定理得到该结构型摄动系统鲁棒稳定性的充分条件.引入一个稳定的定标阵,得到该结构型摄动系统低保守性的鲁棒稳定性充分条件.基于该充分条件和线性矩阵不等式方法(LMI)、锥补线性化方法(CCL),提出的迭代算法可以同时计算出重复控制器中低通滤波器剪切频率的最大值及其对应的输出反馈控制器的参数.最后,低频线振动台系统验证了该方法的有效性。     

求解互补支持向量机的非单调信赖域算法

求解支持向量机的核心问题是对一个大规模凸二次规划问题进行求解。基于支持向量机的修正模型,得到一个与之等价的互补问题,利用Fischer-Burmeister互补函数,从一个新的角度提出了求解互补支持向量机的非单调信赖域算法。新算法避免了求解Hesse矩阵或矩阵求逆运算,减少了工作量,提高了运算效率。在不需要任何假设的情况下,证明算法具有全局收敛性。数值实验结果表明,对于大规模非线性分类问题,该算法的运行速度比LSVM算法和下降法快,为求解SVM优化问题提供了一种新的可行方法。     

Confidence regions of two-stage stochastic linear complementarity problems

Two-stage stochastic linear complementarity problems (TSLCP) model a large class of equilibrium problems subject to data uncertainty, and are closely related to two-stage stochastic optimization problems. The sample average approximation (SAA) method is one of the basic approaches for solving TSLCP and the consistency of the SAA solutions has been well studied. This paper focuses on building confidence regions of the solution to TSLCP when SAA is implemented. We first establish the error-bound condition of TSLCP and then build the asymptotic and nonasymptotic confidence regions of the solutions to TSLCP by error-bound approach, which is to combine the error-bound condition with central limit theory, empirical likelihood theory, and large deviation theory.     

求解垂直互补问题的一种修正非光滑Levenberg-Marquardt算法

本文提出了一种求解垂直互补问题的修正非光滑Levenberg-Marquardt算法.与以往算法相比,该算法不但采用了新的微分形式取代了B-微分,还运用了一种LM参数的自适应调整策略以确保每次迭代时LM步不至于过小,从而保证了算法的快速收敛.最后,数值实验表明了算法的有效性.