投影追踪——一种新的多元统计方法及其应用

本文讨论了投影追踪方法(PP方法),它是一种稳健而又实用的方法,能够帮助揭露高维观测数据的结构。我们应用了PP多元回归、PP主分量分析和PP判别分类方法于地球物理问题的研究,而且作了一些试算以减少计算机CPU的时间。

投影追踪回归逼近的均方收敛性

在本文我们给出了均方收敛的投影追踪回归逼近,回答了Huber(1985）的猜想。

Kriging水动力学代理模型在水库群优化调度中的应用

为解决传统水动力学模型结合调度模型求解耗时长的难题,使用代理模型模拟水动力学模型以提升求解效率。从金沙江下游—三峡梯级水库调度实际出发,结合水动力学和代理模型相关理论,建立了基于Kriging代理模型的水库群多目标调度模型并采用多目标进化算法对模型进行求解,最后采用投影追踪法对得到的多目标帕累托前沿进行决策。研究结果表明,代理模型的平均模拟误差≤1.5%,能够较为精确地替代原有长耗时水动力学模型并结合调度模型给出具有竞争关系的帕累托前沿及合理的折衷方案,对促进梯级水库综合效益发挥提供理论依据。

用主动轮廓模型优化网格曲面上的特征线

对主动轮廓模型在三维网格曲面上的表示进行研究 首先提出一种根据输入的点快速确定初始特征线的追踪投影法 ;然后计算出特征线的主动轮廓模型能量 ,其中特征能用平均曲率来表示 ;最后 ,特征线经多次迭代后移动到能量极小处 ,实现优化 实例表明 。

The application of projection pursuit classification in the process of strategy selection and evaluation based on the real coded accelerating genetic algorithm

During the process of enterprises＇ strategy evaluation and selection, there are many evaluating indicators, and among them there are some potential correlations and conflicts. Thus it poses the problems to the decision-makers how to conduct correct evaluation on a business and how to make strategy adjustment and selection according to the evaluation. Based on the qualitative and quantitative method, the paper introduces the Projection Pursuit Classification （PPC） model based on the Real-coded Accelerating Genetic Algorithm （RAGA） into the process of enterprises＇ strategy evaluation and selection. The characteristic of PPC model is that it ultimately overcomes the influence of the proportion of subjectivity and avoids precocious convergence, thus providing a new objective method for strategy evaluation and selection by pursuing the most objective strategy evaluation to make the relatively sensible strategy portfolio and action.