一类神经网络的指数稳定性分析

避免构造Lyapunov函数的困难,运用广义Dahlquist数方法研究了一类神经网络模型平衡点的存在唯一性和指数稳定性,在没有假设激活函数具有可微性、有界性的条件下,得出新的判据。     

How does collaboration affect researchers’ positions in co-authorship networks?

Collaboration usually has a positive effect on researchers’ productivity: researchers have become increasingly collaborative, according to recent studies. Numerous studies have focused on enhancing research collaboration by recommendation technology and measuring the influence of researchers. However, few studies have investigated the effect of collaboration on the position of a researcher in the research social network. In this paper, we explore the relationships between collaboration and influence by social analytical methods, which are pertinent to analyzing the network structure and individual traits. We evaluate three aspects of the researchers’ influence: friendship paradox validation, social circle, and structure of a researcher's ego network. Furthermore, the ”six degrees of Bacon number” theory, generalized friendship paradox, and triadic closure theory are introduced to support our analysis. Experimental results show that collaboration can help researchers increase their influence to some extent.     

仅发送者知道通道信息的可控概率隐形传态

采用推广测量法,在仅发送者Alice知道部分纠缠GHZ态通道信息的条件下,提出了实现可控概率隐形传态的方案。     

共振的半线性Dirichlet问题解的多重性

使用Z2指标理论获得非线性非自治无界共振的半线性椭圆方程Dirichlet问题解的多重性结果。     

“广义知识教学过程模型”下的高职英语教学研究

广义知识教学过程模型视教学过程为＂三阶段六步骤＂,缺少任何一步,学习或者不能发生,或者发生了但不能持久保持。本文作者在高职英语课堂教学上引入该模型,旨在探索广义知识教学过程模型能否指导高职英语教学。研究结果表明：广义知识教学过程模型能促进高职英语的教学成效。     

关于广义Pexider方程解的注记

许多领域的研究离不开函数方程,特别在动力系统和嵌入流中十分重要,函数方程有各种形式,对他们的求解是复杂的,有时甚至是相当困难的。文章首先研究了两类广义Pexider函数方程,对其中一类我们用换元法将其转化为已有的Pexider对数方程,从而求得其一般解,对另一类我们采用将方程两端先微分使其转化为微分方程,然后求解微分方程,从而获得了它的二次可微解.     

Time gap analysis by the topic model-based temporal technique

This study proposes a temporal analysis method to utilize heterogeneous resources such as papers, patents, and web news articles in an integrated manner. We analyzed the time gap phenomena between three resources and two academic areas by conducting text mining-based content analysis. To this end, a topic modeling technique, Latent Dirichlet Allocation (LDA) was used to estimate the optimal time gaps among three resources (papers, patents, and web news articles) in two research domains. The contributions of this study are summarized as follows: firstly, we propose a new temporal analysis method to understand the content characteristics and trends of heterogeneous multiple resources in an integrated manner. We applied it to measure the exact time intervals between academic areas by understanding the time gap phenomena. The results of temporal analysis showed that the resources of the medical field had more up-to-date property than those of the computer field, and thus prompter disclosure to the public. Secondly, we adopted a power-law exponent measurement and content analysis to evaluate the proposed method. With the proposed method, we demonstrate how to analyze heterogeneous resources more precisely and comprehensively.     

RKPM方法关于非线性椭圆边值问题的的误差估计

通过重构核近似的基本原理简单介绍了重构核质点法(reproducing kernel particle meshfree methods,RKPM),关于非线性椭圆方程的Dirichlet问题,结合重构核近似的理论误差估计,研究了在满足一定条件下的RKPM法对于该类问题的解的误差估计.     

一类广义隐拟向量变分不等式解的存在性问题

本文研究了Hausdorff空间中一类广义隐拟向量变分不等式问题（GIVQ1）,利用不动点定理得到了解的存在性定理,给出了（GIVQI）若干推论．     

Dirichlet空间上的Toeplitz和小Hankel算子的性质

本文在Dirichlet空间上,对具有符号在H上的Toeplitz算子和小Hankel算子进行研究,考察了其代数性质,并改进了文献[2]中的一些结果．