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| 1 | 基于LDA话题演化研究方法综述显示文摘现实生活中不断有新话题的产生和旧话题的衰减,同时话题的内容也会随着时间发生变化。自动探测话题随时间的演化越来越受到人们的关注。Latent Dirichlet Allocation模型是近年提出的概率话题模型,已经在话题演化领域得到较为广泛的应用。该文提出了话题演化的两个方面:内容演化和强度演化,总结了基于LDA话题模型的话题演化方法,根据引入时间的不同方式将目前的研究方法分为三类:将时间信息结合到LDA模型、对文本集合后离散和先离散方法。在详细叙述这三种方法的基础上,针对时间粒度、是否在线等多个特征进行了对比,并且简要描述了目前广泛应用的话题演化评测方法。文章最后分析了目前存在的挑战,并且对该研究方向进行了展望。 | 单斌 李芳 | 2010 | 中文信息学报2010，24，6： | 81 |
| 2 | 融合关系与内容分析的社会标签推荐显示文摘标签是Web 2.0时代信息分类与索引的重要方式.为解决标签系统所面临的不一致性、冗余性以及完备性等问题,标签推荐通过提供备选标签的方法来提高标签的质量.为了进一步提升标签推荐的质量,提出了一种基于标签系统中对象间关系与资源内容融合分析的标签推荐方法,给出了基于LDA(latent Dirichlet allocation)的融合表示对象间关系与资源内容的标签系统生成模型TSM/Forc,提出了一种基于概率的标签推荐方法,并给出了基于吉布斯(Gibbs)抽样的参数估计方法.实验结果表明,该方法可以提供比当前主流与最新方法更加准确的推荐结果. | 张斌 张引 高克宁 郭朋伟 孙达明 | 2012 | 软件学报2012，23，3： | 42 |
| 3 | Analytic proof of dual variational formula for the first eigenvalue in dimension one显示文摘The first non-zero eigenvalue is the leading term in the spectrum of a self-adjoint operator. It plays a critical role in various applications and is treated in a large number of textbooks. There is a well-known variational formula for it (called the Min-Max Principle) which is especially effective for an upper bound of the eigenvalue. However, for the lower bound of the spectral gap, some dual variational formulas have been obtained only very recently. The original proofs are probabilistic. Some analytic proofs in one-dimensional case are proposed and certain extension is made. | 陈木法 | 1999 | Science China Mathematics1999，42，8： | 25 |
| 4 | Multipliers on Dirichlet Type Spaces | Peng Yan HU Department of Mathematics. Normal College of Shenzhen University. Shenzhen. Guangdong 518060. P. R. China Ji Huai SHI Department of Mathematics. University of Science and Technology of China. Hefei. Anhui 230026, P. R. China | 2001 | Acta Mathematica Sinica,English Series2001，17，2： | 23 |
| 5 | 基于LDA主题特征的微博转发预测显示文摘微博转发是微博传播的重要途径,也是研究微博信息传播、舆情监控的最关键问题之一。研究用户转发行为对信息传播分析、舆情监控和热点提取有很大帮助。然而,当前对微博转发行为的研究大多是在宏观层面,为了解决微观层面预测用户转发行为问题,在分析影响用户转发的各类因素基础上,首先构建了微博特征和用户特征,然后通过将LDA抽取的微博隐含主题特征,与微博特征和用户特征相结合建立起基于主题特征的微博预测模型。实验结果验证了该模型在微博转发行为预测的有效性。 | 李志清 | 2015 | 情报杂志2015，34，9： | 20 |
| 6 | 科学家合作网络中的社区发现显示文摘从科学家合作网络中发现隐含的研究社区对于理解科研人员的合作和交流模式,挖掘科研人员的研究兴趣具有十分重要的意义。本文在Latent Dirichlet Allocation模型的基础上,提出了一个社区一作者一主题模型,该模型能够根据科研人员之间的合著关系和论文的内容来发现隐性的子社区,并提取出每个子社区中的研究主题以及每个子社区中有代表性的科研人员。本文还给出了基于Gibbs抽样的社区一作者一主题模型的推断算法。在NIPS数据集上的实验表明,本文提出的社区发现算法所发现的研究社区和研究主题都是有效的。 | 苗蕊 刘鲁 | 2011 | 情报学报2011，30，12： | 19 |
| 7 | An Application of a Mountain Pass Theorem | ZHOU Huan Song Laboratory of Mathematical Physics. Wuhan Institute of Physics and Mathematics. Chinese Academy of Sciences, P. O. Box 71010, Wuhan 430071. P. R. China | 2002 | Acta Mathematica Sinica,English Series2002，18，1： | 18 |
| 8 | ON THE DISTRIBUTION OF VALUES OF RANDOM DIRICHLET SERIES(II)显示文摘For certain Dirichlet series almost surely(a.s.)of order(R) ρ∈(0,∞)in the right-halfplane,a.s.every point of the imaginary axis is a Borel point of order ρ+1 and with no finiteexoeptional value. | 孙道椿 余家荣 | 1990 | Chinese Annals of Mathematics,Series B1990，11，1： | 15 |
| 9 | Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls显示文摘In this paper, the exact synchronization for a coupled system of wave equations with Dirichlet boundary controls and some related concepts are introduced. By means of the exact null controllability of a reduced coupled system, under certain conditions of compatibility, the exact synchronization, the exact synchronization by groups, and the exact null controllability and synchronization by groups are all realized by suitable boundary controls. | Tatsien LI Bopeng RAO | 2013 | Chinese Annals of Mathematics,Series B2013，34，1： | 13 |
| 10 | 图像-文本相关性挖掘的Web图像聚类方法显示文摘为了实现Web图像检索结果的聚类,提出了一种Web图像的图聚类方法.首先定义了两种类型关联:单词与图像结点之间的异构链接以及单词结点之间的同构链接.为了克服传统的TF-IDF方法不能直接反映单词与图像之间的语义关联局限性,提出并定义了单词可见度(visibility)这一属性,并将其集成到传统的tf-idf模型中以挖掘单词-图像之间关联的权重.根据LDA(latent Dirichlet allocation)模型,单词-单词之间关联权重通过一个定义的主题相关度函数来计算.最后,应用复杂图聚类和二部图协同谱聚类等算法验证了在图模型上引入两种相关性关联的有效性,达到了改进了Web图像聚类性能的目的. | 吴飞 韩亚洪 庄越挺 邵健 | 2010 | 软件学报2010，21，7： | 10 |
| 11 | 基于LDA主题的改进TFIDF 95598工单智能分类研究显示文摘为了提高95595工单智能分类的准确率,提出了基于LDA(Latent Dirichlet Allocation)的改进TFIDF算法。先对文本提取特征词,然后采用K-means算法进行聚类处理。构建LDA模型,获得概率分布函数θ和φ,求取语义影响力SI(semantic influence,SI)作为特征词的权重,该改进算法记作SI-TFIDF(semantic influence-term frequency inverse document frequency,SI-TFIDF)。将SI-TFIDF算法与传统的TFIDF算法在sougou的数据库进行特征词提取,并采用K-means算进行聚类,对比结果显示,采用SI-TFIDF算法提取的特征词聚类效果优于TFIDF,验证了所提出方法的可靠性。在95598投诉工单上进行仿真实验,SI-TFIDF算法的投诉工单聚类准确率高于传统的TFIDF算法,验证了SI-TFIDF更适用于处理工单投诉的分类研究。 | 武光华 李洪宇 刘二刚 柳长发 李倩 | 2020 | 微型电脑应用2020，36，3： | 9 |
| 12 | The Lower Orders of Dirichlet and Random Dirichlet Series显示文摘TheLowerOrdersofDirichletandRandomDirichletSeries￥YuJiarong(DepartmentofMathematics,WuhanUniversity,Wuhan430072,China)Abstrac... | Yu Jiarong (Department of Mathematics,Wuhan University,Wuhan 430072,China) | 1996 | Wuhan University Journal of Natural Sciences1996，1，1： | 8 |
| 13 | 面向自主意识的标签个性化推荐方法研究显示文摘在标签系统中,用户使用资源以及标签的习惯受到自身自主意识的影响.当前的标签个性化推荐方法缺乏对此类自主意识信息的描述,限制了个性化推荐的效果.通过采用类似LDA的概率模型,建模了用户的资源使用以及标签使用两方面的自主意识信息,实现了面向用户自主意识的标签推荐.模型的参数使用基于吉布斯抽样的方法进行估计,为快速高效计算模型参数提供了可能.实验结果显示该方法可以提供更高质量的标签个性化推荐结果. | 张引 张斌 高克宁 郭朋伟 孙达明 | 2012 | 电子学报2012，40，12： | 8 |
| 14 | 结合LDA和谱聚类的多文档摘要显示文摘自动文摘技术的目标是致力于将冗长的文档内容压缩成较为简短的几段话,将信息全面、简洁地呈现给用户,提高用户获取信息的效率和准确率。所提出的方法在LDA(Latent Dirichlet Allocation)的基础上,使用Gibbs抽样估计主题在单词上的概率分布和句子在主题上的概率分布,结合LDA参数和谱聚类算法提取多文档摘要。该方法使用线性公式来整合句子权重,提取出字数为400字的多文档摘要。使用ROUGE自动摘要评测工具包对DUC2002数据集评测摘要质量,结果表明,该方法能有效地提高摘要的质量。 | 付玲 张晖 | 2013 | 计算机工程与应用2013，49，16： | 8 |
| 15 | SOLUTIONS TO DISCRETE MULTIPARAMETER PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN VIA CRITICAL POINT THEORY显示文摘In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value problems in [G. Bonanno and P. Candito, Appl.Anal., 88(4)(2009), pp. 605-616], we construct two new strong maximum principles and obtain that the boundary value problem has three positive solutions for λ and μ in some suitable intervals. The approaches we use are the critical point theory. | 高承华 | 2014 | Acta Mathematica Scientia2014，34，4： | 7 |
| 16 | 一种面向社区型问句检索的主题翻译模型显示文摘基于统计机器翻译模型的问句检索模型,其相关性排序机制主要依赖于词项间的翻译概率,然而已有的模型没有很好地控制翻译模型的噪声,使得当前的问句检索模型存在不完善之处.文中提出一种基于主题翻译模型的问句检索模型,从理论上说明,该模型利用主题信息对翻译进行合理的约束,达到控制翻译模型噪声的效果,从而提高问句检索的结果.实验结果表明,文中提出的模型在MAP(Mean Average Precision)、MRR(Mean Reciprocal Rank)以及p@1(precision at position one)等指标上显著优于当前最先进的问句检索模型. | 张伟男 张宇 刘挺 | 2015 | 计算机学报2015，38，2： | 7 |
| 17 | Estimates for eigenvalues of Laplacian operator with any order显示文摘Let D be a bounded domain in an n-dimensional Euclidean space Rn.Assume that 0<λ1≤λ2≤…≤λk≤…are the eigenvalues of the Dirichlet Laplacian operator with any order l: (-△)lu=λu,in D u=■=…=■=0,on■■D. Then we obtain an upper bound of the(k+1)-th eigenvalueλk+1in terms of the first k eigenvalues. sum from i=1 to k(λk+1-λi)≤(1/n)[4l(n+2l-2)]1/2{sum from i=1 to k(λk+1-λi)1/2λil-1/lsum from i=1 to k(λk+1-λi)1/2λi1/l}1/2. This ineguaiity is independent of the domain D.Furthermore,for any l≥3 the above inequality is better than all the known results.Our rusults are the natural generalization of inequalities corre- sponding to the case l=2 considered by Qing-Ming Cheng and Hong-Cang Yang.When l=1,our inequalities imply a weaker form of Yang inequalities.We aslo reprove an implication claimed by Cheng and Yang. | Fa-en WU~(1+) Lin-fen CAO~2 1 Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China 2 Department of Mathematics,Henan Normal University,Xinxiang 453007,China | 2007 | Science China Mathematics2007，50，8： | 7 |
| 18 | Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map显示文摘In this paper, a method based on the Dirichlet-to-Neumann map is developed for bandgap calculation of mixed in-plane waves propagating in 2D phononic crystals with square and triangular lattices. The method expresses the scattered fields in a unit cell as the cylindrical wave expansions and imposes the Bloch condition on the boundary of the unit cell. The Dirichlet-to-Neumann (DtN) map is applied to obtain a linear eigenvalue equation, from which the Bloch wave vectors along the irreducible Brillouin zone are calculated for a given frequency. Compared with other methods, the present method is memory-saving and time-saving. It can yield accurate results with fast convergence for various material combinations including those with large acous- tic mismatch without extra computational cost. The method is also efficient for mixed fluid-solid systems because it considers the different wave modes in the fluid and solid as well as the proper fluid-solid interface condition. | Ni Zhen Feng-Lian Li Yue-Sheng Wang Chuan-Zeng Zhang | 2012 | Acta Mechanica Sinica2012，28，4： | 7 |
| 19 | ON THE REPRESENTATION OF A LARGE EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES显示文摘I For the sake of brevity, we denote the following proposition by (1,α): Every sufficiently large even integer is the sum of a prime and the product of at most α primes. Selberg’s method and some results in the theory of Dirichlet L-function have been employed by many mathematicians to prove the above proposition, for example, (1,5) (Pan Cheng-tung,); (1,4) (Wang Yuan, Pan Cheng-tung,); (1,3) The aim of the present note is to give a sketch of the proof of (1,2). Details will be published later elsewhere. | 陈景润 | 1966 | Chinese Science Bulletin1966，24，9： | 7 |
| 20 | 关于广义Dedekind和的2k次均值显示文摘本文利用 Dirichlet L-函数的均值定理,研究广义 Dedekind和的渐近性质,并给出一个有趣的渐近公式. | 谢敏 张文鹏 | 2001 | 数学学报(中文版)2001，44，1： | 6 |
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