On the generalized Hyers-Ulam stability of multi-quadratic mappings

A mapping f:Vⁿ?W, where V is a commutative group, W is a linear space, and n≥2 is an integer, is called multi-quadratic if it is quadratic in each variable. In this paper, we prove the generalized Hyers-Ulam stability of multi-quadratic mappings in Banach spaces and complete non-Archimedean spaces.     

Stable local dimensionality reduction approaches

Dimensionality reduction is a big challenge in many areas. A large number of local approaches, stemming from statistics or geometry, have been developed. However, in practice these local approaches are often in lack of robustness, since in contrast to maximum variance unfolding (MVU), which explicitly unfolds the manifold, they merely characterize local geometry structure. Moreover, the eigenproblems that they encounter, are hard to solve. We propose a unified framework that explicitly unfolds the manifold and reformulate local approaches as the semi-definite programs instead of the above-mentioned eigenproblems. Three well-known algorithms, locally linear embedding (LLE), laplacian eigenmaps (LE) and local tangent space alignment (LTSA) are reinterpreted and improved within this framework. Several experiments are presented to demonstrate the potential of our framework and the improvements of these local algorithms.     

DOLAR: virtualizing heterogeneous information spaces to support their expansion

Users expect applications to successfully cope with the expansion of information as necessitated by the continuous inclusion of novel types of content. Given that such content may originate from ‘not‐seen thus far’ data collections and/or data sources, the challenging issue is to achieve the return of investment on existing services, adapting to new information without changing existing business‐logic implementation. To address this need, we introduce DOLAR (Data Object Language And Runtime), a service‐neutral framework which virtualizes the information space to avoid invasive, time‐consuming, and expensive source‐code extensions that frequently break applications. Specifically, DOLAR automates the introduction of new business‐logic objects in terms of the proposed virtual ‘content objects’. Such user‐specified virtual objects align to storage artifacts and help realize uniform ‘store‐to‐user’ data flows atop heterogeneous sources, while offering the reverse ‘user‐to‐store’ flows with identical effectiveness and ease of use. In addition, the suggested virtual object composition schemes help decouple business logic from any content origin, storage and/or structural details, allowing applications to support novel types of items without modifying their service provisions. We expect that content‐rich applications will benefit from our approach and demonstrate how DOLAR has assisted in the cost‐effective development and gradual expansion of a production‐quality digital library. Experimentation shows that our approach imposes minimal overheads and DOLAR‐based applications scale as well as any underlying datastore(s). Copyright © 2011 John Wiley & Sons, Ltd.     

大型喷浆机器人的工作空间分析

对机器人工作空间的求解方法进行对比研究。针对大型喷浆机器人的具体特点 ,使用蒙特卡洛法分析其工作空间 ,取得了良好的效果。     

蒙古文整词计算机生成理论研究

采用面向对象方法,模拟传统蒙古文整词各种形式构成机理,提出了几种蒙古语整词计算机生成数据模型。文章主要依据整词计算机生成三种模型,探讨了传统蒙古文整词计算机最优化生成理论所涉及的精确度、时间复杂度、空间复杂度三项基本要素以及最优化生成必须考虑的整词复杂特征载荷与一体化合一计算知识表示方法和计算结构,证明了“B - J - T= W”数据模型是传统蒙古文整词计算与生成最优化对象模型。     

Performance Analysis of Periodic Control for l1 and l∞ Disturbance Rejection

This paper presents a performance analysis of discrete time periodically time varying controllers for the rejection of l_p specific and uniform disturbances. Earlier results on l₂ performance are extended to l₁ and l_∞ performance to present a unified treatment of l_p performance for all p ε [1, ∞]. For a given linear time varying periodic controller, a linear time invariant controller is constructed and necessary and sufficient conditions are presented under which the linear time invariant controller gives strictly better l_p disturbance rejection performance than the time varying periodic controller.     

基于p范式模型的检索

随着电子文本的大量涌现,人们对信息检索工具提出了更高的要求。本文介绍一种扩展的布尔检索模型及其在中文信息检索系统中的应用,并利用相关反馈技术改善检索系统性能。     

手写体汉字在特征空间的可视化分析

手写体汉字特征一般在几百维以上,在这样的高维空间中,汉字样本是如何分布的?本文从可视化的角度对这一问题进行了探讨。论文首先给出了所选用的汉字特征的定义,然后对一些具有代表性的汉字实例,从K-L变换法、线性投影法和非线性投影法三个方面,对汉字在特征空间的分布问题进行了可视化分析,结果表明,可视化分析可以帮助人们了解汉字在特征空间的分布情况,对改进识别器的性能具有指导意义。     

建筑空间形式美的探赜

维特鲁威认为建筑是由模式、布置、比例、均衡、适合和经营构成的。在这六个方面中,适合和经营关系到建筑的适用性、经营管理;而前四个方面关系到建筑的模式、结构和外观。他说:"当建筑物的外观优美悦人,细部的比例符合正确的均衡时,就会保持美观的原则。"在维特鲁威的观念中,比例就是建筑美的核心。     

石家庄居住区景观设计研究

居住是人类最基本的生活需要,城市人的一生约有三分之二的时间是在居住小区中度过,因此,居住小区是城市人生存、发展的基地。而居住景观的质量对城市社会经济的发展都有极大影响。同时,在越来越强调艺术性,彰显特色的今天,和谐而个性的人居环境成为体现城市魅力的最佳途径。石家庄作为河北省的省会,作为建立在燕赵大地深厚文化底蕴基础上的新兴城市,其特有的地理、历史、人文因素都成为打造具有石家庄特色居住区景观的重要依据。