关于r-循环矩阵的若干性质

文章给出了r-循环矩阵的定义,讨论了r-循环矩阵的一些等价刻画、对角化、可逆性等性质.     

图的控制研究

从关联矩阵和邻接矩阵出发,给出了自关联矩阵、自邻接矩阵和对图的顶点相关分割的定义,然后利用顶点的相关分割解决图的控制问题.结果表明,该方法是解决这类问题的一种简单而实用的方法.     

ONTHEPROPERTIESOFZCIRCULANTMATRICES

本文给出了Ｚ循环矩阵的一些性质     

线性方程组的求解

由于线性方程组在各学科的广泛应用,其重要性是显而易见的,有必要对线性方程组的求解及特殊类型的无穷线性方程组求解进行讨论.     

Leveraging personality information to improve community recommendation in e-learning platforms

E-learning platforms are becoming more and more important and they are gradually changing people’s learning ways. In the e-learning platforms, users actively create and join their favorite communities to share their questions and ideas. With the increase of users of e-learning platforms, the number of communities is increasing dramatically. In this context, it has become difficult for users to find learning communities that match their interests and preferences. Therefore, how to effectively recommend the learning community for users has become an urgent need. However, compared to learning item recommendation, there is relatively limited work on learning community recommendation, and the existing research on community recommendation often ignores the personality information. Personality is considered one of the primary factors that influence human behavior and social relationships, as it affects how people react and interact with others. Several studies have demonstrated that people with similar personality tend to have similar interests. Furthermore, homophily theory also states that social interactions between similar individuals occur at a higher rate than among dissimilar ones. Since interests and interactions are important driving forces for users to join the learning communities, personality has an important impact on users’ choices of communities. Therefore, this paper aims at shedding some light on the impact of personality information on the accuracy of community recommendations. Particularly, we propose three enhanced matrix factorization models based on the Big Five personality framework. To evaluate the effectiveness of our proposed models, we conducted extensive experiments on myPersonality datasets. The results prove that the personality information can improve the performance of the learning community recommendation model and alleviate the data sparsity problem.     

基于谱聚类与多信息特征融合的图像分割算法

为了改善传统基于聚类的图像分割算法对噪声敏感以及仅使用单一特征无法精确描述目标特性等问题,提出了一种基于区域的多特征图像分割算法。首先,使用 Meanshift 算法对原图像进行预分割,获得一组区域块;其次,提取每个区域块的颜色特征和纹理特征,使用 FCM 算法分别对每个特征进行聚类,针对每个特征获得一个类标签邻接矩阵;再次,将多个邻接矩阵叠加,形成多特征邻接矩阵;最后,使用 NCUT 算法对叠加邻矩阵进行聚类,获得最终分割图像。实验结果表明,基于区域多特征的分割算法优于对比算法,融合多特征对图像分割可以更准确地识别不同的目标结构,具有更好的分割效果。     

一种基于gamma分布的NMF算法及其在人脸识别中的应用

提出了一种基于gamma分布的NMF算法(GNMF),并将之用于人脸特征抽取.构造了特征子空间,并在特征子空间内实现脸部识别.结果表明,GNMF算法可行且有效,以GNMF为基础的人脸识别率较高.     

树上的Markov映射的逆极限

本文针对树T上的Markov映射f,结合f对应的关联矩阵的特点 ,就f的逆极限不可分 ,f的逆极限同胚于树T ,f的逆极限是一拓扑射线R趋于一连续统Y1,f的逆极限含有不可分子连续统这四种情形分别给出一个充分条件 .同时 ,明确指出 3-星形树Y上一类特殊的Markov映射的逆极限 .     

用EPROM简化时序逻辑电路的设计

逻辑线路的设计是比较复杂的,对于初学者来说是一大难点,用EPROM可以简化逻辑设计,本文在文〔1〕的基础上给出简化时序逻辑电路设计的方法。     

矩阵正定性的推广

通过问题的提出,进一步讨论对称矩阵(aij)n×n与(aij)n×n正定性