Set‐theoretic adaptive filtering based on data‐driven sparsification

In this article, we propose a fast and efficient algorithm named the adaptive parallel Krylov‐metric projection algorithm. The proposed algorithm is derived from the variable‐metric adaptive projected subgradient method, which has recently been presented as a unified analytic tool for various adaptive filtering algorithms. The proposed algorithm features parallel projection—in a variable‐metric sense—onto multiple closed convex sets containing the optimal filter with high probability. The metric is designed based on (i) sparsification by means of a certain data‐dependent Krylov subspace and (ii) maximal use of the obtained sparse structure for fast convergence. The numerical examples show the advantages of the proposed algorithm over the existing ones in stationary/nonstationary environments. Copyright © 2011 John Wiley & Sons, Ltd.     

Facial expression cloning with elastic and muscle models

Expression cloning plays an important role in facial expression synthesis. In this paper, a novel algorithm is proposed for facial expression cloning. The proposed algorithm first introduces a new elastic model to balance the global and local warping effects, such that the impacts from facial feature diversity among people can be minimized, and thus more effective geometric warping results can be achieved. Furthermore, a muscle-distribution-based (MD) model is proposed, which utilizes the muscle distribution of the human face and results in more accurate facial illumination details. In addition, we also propose a new distance-based metric to automatically select the optimal parameters such that the global and local warping effects in the elastic model can be suitably balanced. Experimental results show that our proposed algorithm outperforms the existing methods.     

电子双缝干涉的量子理论

用Feynman泛涵积分（路径积分）方法分析了电子双缝干涉,结论与光的双缝干涉完全一致。在将Vierbein表述的局域Lorentz群引力规范理论、狭义相对论（SR）与量子论协调成统一体系的基础上,澄清了对电子双缝干涉仪的众说纷纭的诠释。     

自适应分割的动态网格生成算法

提出一种基于半边数据结构的动态网格自适应分割生成算法．根据曲面尖锐特征对网格模型自适应分割;为满足分割边界的简化要求,提出一种利用半边数据结构的分割边界独立处理算法;并利用边界自适应加权函数,较好地保持了模型边界特征．应用实例表明,该算法高效、可靠,既保持模型细节特征,又减少了模型简化误差．     

应用于工程机械中的高强度螺栓英制转公制的计算方法

介绍了从考虑螺栓的数量、排列方式、应力接触面积、螺栓截面积等几个方面进行英制转化成公制的计算方法。     

效益加速比：一种新的性能度量特性

虽然ｓｐｅｅｄｕｐ一是用来评价并行处理系统的性能特性，但它并不能真正反映一个并行处理系统的性能，处理结点速度的提高和算法的优化反而使得ｓｐｅｅｄｕｐ降低，这说明ｓｐｅｅｄｕｐ存在着不合理性。本文提出了效益加速比的度量特性，这种度量特性能较为合理地拔映出并行处理系统的性能改善。     

Unit interpolation in H∞: Bounds of norm and degree of interpolants

This paper studies the problem of unit interpolation in H_∞. Specifically, bounds of the norm and degree of interpolants are obtained using the Nevanlinna-Pick interpolation theory. Also simpler bounds are given using the Poincaré metric. These results indicate that strong stabilization and simultaneous stabilization need a cautious approach if the system is ‘ill-conditioned’. In fact, it is demonstrated that the degree of stable compensator is not bounded for the class of plants with fixed degree. Also an example shows that there is a class of plants for which the sensitivity can be made small only if unstable compensators are used.     

CIMS优化排序的度量空间分析法

本文建立了排序的度量空间,并且在该空间上建立了映射概念.在此基础上,应用采样方法,讨论了采样次数与优化的关系,并提出了均匀采样的启发式方法.     

On the factorization of rational matrices depending on a parameter

In 1961 Youla published his paper “On the factorization of rational matrices”. He proved that any proper rational para-Hermitian matrix that is positive definite on the imaginary axis can be factorized as the product of a proper rational matrix, stable with respect to the closed right half plane, and its adjoint. In this paper it is proved that for any positive definite, nonstrictly proper matrix this factorization can be given depending analytically on the original matrix, in a sufficiently small neighbourhood. This result is applied to the problem of metrizing the space of transfer matrices of linear systems, in accordance with Vidyasagar's graph topology.