A note on finite sample breakdown points of projection based multivariate location and scatter statistics

In this note, general results of finite sample breakdown point are obtained for two classes of projection based location and scatter statistics: the Stahel-Donoho statistics and the Maronna-Yohai statistics. It is shown that these projection based location and scatter statistics can achieve the maximum breakdown point of affine equivariant multivariate location and scatter statistics. General relationships between the finite sample breakdown point of these statistics and the uniform finite sample breakdown point of the sample median and a modified sample median absolute deviation are formally established. Received: May 1999     

投影寻踪分类模型在小流域治理效益评价中的应用

鉴于小流域治理效益评价中各指标的不确定性和模糊性,为了解决各单项小流域治理效益指标评价结果的不相容问题,提高小流域治理效益评价模型的分辨率,提出了一种有效的和通用的模型——投影寻踪分类模型。采用基于实码加速遗传算法寻找最优的投影方向,同时用最佳投影方向信息研究了各评价指标对小流域治理效益的影响水平,取得了符合客观实际的分类结果,为小流域治理治理提供了决策依据。     

变化环境下城市暴雨洪涝灾害应对机制

遵循以防为主的防灾减灾救灾理念，提出一种集情景预估、预测预报、分级预警、应急预案和防洪预演为一体的城市暴雨洪涝灾害“五预”应对机制。包括：基于气候模式的城市暴雨洪涝灾害情景预估;耦合气象水文的城市暴雨洪涝灾害预测预报;多源信息融合的城市暴雨洪涝灾害分级预警;基于综合集成的城市暴雨洪涝灾害应急预案;基于数字孪生的城市暴雨洪涝灾害防洪预演。其中的关键技术包括：城市洪涝模拟、地球系统模式、滚动气候预测、数值天气预报、三维电子沙盘、综合集成平台和数字孪生城市。构建变化环境下城市暴雨洪涝灾害“五预”应对机制,可为城市防洪减灾决策提供有效支撑。     

RMA and Strategic intelligence: The case of China and Japan

Two cases of China and Japan are compared in the two dimensions of strategic doctrine and the RMA program. China is disadvantaged in its general military capability; it cannot help but gain the initiative by striking first and doing the operation under a high degree of secrecy, mobility, accuracy in its concentration of firepower, and surprise. This is called the doctrine of “strategic attack” and the Chinese defense planning is called “strategic modernization.” On the other hand, the Japanese approach to RMA is called “Info‐RMA”. The Japanese basic defense strategy is a passive one and it is critical to protect the information infrastructure as Japanese territories might turn out to be the battlefield. Japan should be ready for the possibility that some pre‐RMA forces would employ asymmetrical means such as weapons of mass destruction (WMD), terrorism, or guerilla warfare. Self‐Defense Forces (SDF) also should be ready to accomplish diverse missions, such as rear‐area support for U.S. troops, as well as peacekeeping operations and disaster relief. It is ironic that the Chinese doctrine could not help but be aggressive to compensate for the weakness of strategic intelligence capability in comparison to the U.S. On the other hand, Japan could develop power‐projection capability under the name of strategic intelligence as a part of the Exclusively Defense‐Oriented Policy.     

一种基于B样条拟合的颜色校正方法

多重投影仪在大尺度显示系统中的解决颜色校正问题一直是比较棘手的,通过颜色色度匹配技术或者用分光光计来对投影仪进行颜色校正可以达到比较好的效果,但是这两种技术是基于硬件系统来实现的,成本相对高昂。通过三次B样条拟合方法进行多重投影仪颜色校正,不仅可以降低成本,同样能够达到一个比较好的效果。     

迭代算法逼近严格伪压缩映象最小范数不动点与变分不等式解

在Hilbert空间中使用迭代格式xn＋1=（1-αn）（δTxn＋（1-δ）xn）,n≥0来研究严格伪压缩映象T的最小范数不动点问题,采用新方法证明当参数满足适当条件时,序列x{n}强收敛至严格伪压缩映象T的最小范数不动点,同时该不动点也是某变分不等式的解.其结果推广与改进了一些近代相关结果.     

Projected Country Image: An Investigation of Provinces/Cities’ Logos

Place image studies can be divided into two broad categories: perceived image and projected image. The former category has been receiving a lot of attention for more than four decades, while projected place image has not received an adequate consideration. In this study, the projected image of a country (i.e. Vietnam) is investigated using new image representatives: provinces/cities’ logos. Both the cognitive and affective aspects of the image are examined, and the interpretable pictorial attributes are compared with the intentional textual projections. The findings provide practical implications for the projection of the country's image in the future. It also introduces a theoretical contribution to enrich the projected place image literature.     

南宁市内河水质的投影寻踪回归分析

针对目前我国城市内河普遍遭到污染的问题,在分析影响内河水质因素的基础上,选取BOD5(5日生化需氧量)、CODcr(化学需氧量)、石油类、挥发酚、NH3-N(氨氮)、总磷等6个主要因素作为评价因子,建立了城市内河水质评价的投影寻踪分析模型。采用模拟退火算法对评价模型进行优化,并将该模型应用于南宁市10条内河水质的评价与排序中。研究表明:用投影寻踪回归分析法进行水质评价,避免了传统评价方法由于主观原因造成的误差,评价结果合理可信、方法简单,具有计算效率高、收敛速度快、受初始条件约束少等优点,为我国城市内河水质的评价提供了新途径。     

压缩感知的发展与应用

压缩感知（Compressed Sensing,CS）是近年来新兴的一种信号获取技术。沿着 CS理论的发展历程介绍了CS理论框架,给出了其严格的数学描述,着重讨论了对原始信号的 重构技术,最后介绍了一些可能的应用。     

论王国维与中国近代新音乐

王国维作为近代中国提出"美育"并倡导美育教育的第一人,从美学原理的高度对音乐艺术的审美本质做出分析,总结了音乐艺术的审美规律,并提出普遍性的音乐审美理论。他倡导的"音乐审美诉求理念",是我国近代音乐美育理论的一块界碑,并科学指引了我国近代新音乐的发展方向。