基于 Swin Transformer 和 Style-based Generator 的盲人脸修复

盲人脸修复任务是从低质量的图像（例如模糊、噪声和压缩图像）中恢复高质量的图像.由于事先不知道低质量图像的退化类型和退化参数,因此盲人脸修复是一个高度病态的问题,在修复过程中严重依赖各种先验指导.然而,由于面部成分和面部标志等面部先验通常是从低质量图像中提取或估计的,可能存在不准确的情况,这直接影响最终的修复性能,因此难以有效利用这些先验知识.此外,目前的主流方法基本都是依赖ConvNets进行特征提取,没有很好地考虑长距离特征,导致最终结果缺乏连续一致性.本文提出了一种改进的StyleGAN模型,命名为SwinStyleGAN,应用在高级视觉任务上表现出色的Swin Transformer来提取长距离特征,并通过改进后的类StyleGAN合成网络逐步生成图像.本文设计了一个空间注意力转换模块SAT来重新分配每个阶段特征的像素权重,以进一步约束生成器.大量实验表明,本文提出的方法具有更好的盲人脸修复性能.     

采用空间量化技术的泉州传统街巷风貌改造策略

以福建省泉州市的传统街巷为研究样本,通过空间量化技术探究泉州街巷形成的大致演变过程与形成逻辑;然后,采用等级、功能与宽度3个因子辨析街巷,并生成一套适用于泉州传统街巷空间的风貌改造策略.结果表明：泉州街巷的主要差异在于等级、功能与宽度的不同,同时等级、功能与宽度的变化也会导致街巷类型的转变,街巷的属性能够通过等级、功能与宽度共同组成的复合评价体系进行辨析;最后,通过梳理泉州现有的街巷格局,并针对街巷分别提出相应的改造策略.     

关于二重极限教学的一点注记——与《微积分解题方法与技巧》一书的作者商榷

本文首先对《微积分解题方法与技巧》一书中某题的解法提出质疑;然后研究了三种不同情形下可以得出不同的结果;进而否定了该书的解法;最后指出,被高等数学广泛采用的“极坐标代换法”不能直接用于二重极限,并给出了理论上的解释和证明。     

改进的细菌转化试验方法

本文对“细菌转化实验方法”进行了改进。用改良碱酶法制备的质粒DNA(PBR322)作供体,转化经氯化钙处理的受体菌E.Coli C600,使后者获得抗氨苄青霉素和抗四环素的特性。改进后的转化方法操作简便,不受设备限制。     

Exponential stability of discrete-time systems with slowly time-varying delays

Slowly time-varying delays are seldom, but do need to be, considered in the context of discrete-time systems. This paper addresses the exponential stability issue of discrete-time systems with slowly time-varying delays. The basic idea is to transform, by utilizing the switching transformation approach, the original system with slowly time-varying delays into an equivalent switched system with special switching signal. Different types of delays correspond to different types of switching signals, and the stability issue of the original system is converted into that of a switched system. It is the first time that the method of switched homogeneous polynomial Lyapunov function is applied to general delayed systems. Some sufficient exponential stability conditions for the original system are proposed in several situations. It is numerically shown that the conservativeness of the proposed conditions reduces as the degree of the switched homogeneous polynomial Lyapunov function increases.     

Products and transforms of white-noise functionals (in general setting)

Some sharp results about Weiner and Wick products of whitenoise functionals are obtained. Using the inequality of Wick products we show to what extent scaling transformations, translations, and Sobolev differentiations can be performed on white-noise functionals.This work was supported by the National Natural Science Foundation of China. This paper is an enlargement and revised version of the paper entitled Products and Transforms of White-Noise Functionals (preprint, 1990).     

CHAOS FOR MIXING TRANSFORMATIONS

ＣＨＡＯＳＦＯＲＭＩＸＩＮＧＴＲＡＮＳＦＯＲＭＡＴＩＯＮＳ￥ＬＩＡＯＧＯＮＧＦＵ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ,ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ,Ｃｈａｎｇｃｈｕｎ１３００２３,Ｃｈｉｎａ．）Ａｂｓｔｒａｃｔ：Ｆｏｒａｃｌａｓｓｏｆｍ...     

Generalized Aluthge transformation on -hyponormal operators

We shall introduce a generalized Aluthge transformation on -
hyponormal operators and also, by using the Furuta inequality, we shall give several properties on this generalized Aluthge transformation as further extensions of some results of Aluthge.

     

高斯光束的反向传输变换

用高斯光束的复数表示和ＡＢＣＤ定律,讨论了高斯光束的反向传输变换,并求出了表述高斯光束的几个重要参量。     

对称稀疏矩阵三对角化并行算法

本文用Ｇｉｖｅｎｓ变换,给出一个对称稀疏矩阵的三对角化并行算法,具有很好的并行加速及效率,由于充分考虑了矩阵的稀疏性,使算法中数据存储及通讯相当节省。