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学者姓名:杨霖
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Abstract :
文章以减小检验犯第一类和第二类错误的概率为主要目标,在泊松过程强度函数存在尖点时修正并、平均和分类运算建立投票、p值平均及判别修正检验。各检验均给出在局部备择假设成立时势函数的极限表达式,对数值拟合进行比较的结果表明,修正极大似然检验和判别修正检验分别在有限样本场合和极限场合整体拥有较好的势。
Keyword :
修正渐进显著性检验 修正渐进显著性检验 势函数 势函数 尖点 尖点 泊松过程 泊松过程
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GB/T 7714 | 林楠 , 杨霖 . 基于泊松过程尖点模型的修正假设检验 [J]. | 统计与决策 , 2021 , 37 (14) : 16-19 . |
MLA | 林楠 等. "基于泊松过程尖点模型的修正假设检验" . | 统计与决策 37 . 14 (2021) : 16-19 . |
APA | 林楠 , 杨霖 . 基于泊松过程尖点模型的修正假设检验 . | 统计与决策 , 2021 , 37 (14) , 16-19 . |
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Graphs and networks are very common data structure for modelling complex systems that are composed of a number of nodes and topologies, such as social networks, citation networks, biological protein-protein interactions networks, etc. In recent years, machine learning has become an efficient technique to obtain representation of graph for downstream graph analysis tasks, including node classification, link prediction, and community detection. Different with traditional graph analytical models, the representation learning on graph tries to learn low dimensional embeddings by means of machine learning models that could be trained in supervised, unsupervised or semi-supervised manners. Compared with traditional approaches that directly use input node attributes, these embeddings are much more informative and helpful for graph analysis. There are a number of developed models in this respect, that are different in the ways of measuring similarity of vertexes in both original space and feature space. In order to learn more efficient node representation with better generalization property, we propose a task-independent graph representation model, called as graph deconvolutional network (GDN), and corresponding unsupervised learning algorithm in this paper. Different with graph convolution network (GCN) from the scratch, which produces embeddings by convolving input attribute vectors with learned filters, the embeddings of the proposed GDN model are desired to be convolved with filters so that reconstruct the input node attribute vectors as far as possible. The embeddings and filters are alternatively optimized in the learning procedure. The correctness of the proposed GDN model is verified by multiple tasks over several datasets. The experimental results show that the GDN model outperforms existing alternatives with a big margin. (C) 2020 Elsevier Inc. All rights reserved.
Keyword :
Graph representation Graph representation Machine learning Machine learning Node embedding Node embedding Representation learning Representation learning Unsupervised learning Unsupervised learning
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GB/T 7714 | Zhang, Chun-Yang , Hu, Junfeng , Yang, Lin et al. Graph deconvolutional networks [J]. | INFORMATION SCIENCES , 2020 , 518 : 330-340 . |
MLA | Zhang, Chun-Yang et al. "Graph deconvolutional networks" . | INFORMATION SCIENCES 518 (2020) : 330-340 . |
APA | Zhang, Chun-Yang , Hu, Junfeng , Yang, Lin , Chen, C. L. Philip , Yao, Zhiliang . Graph deconvolutional networks . | INFORMATION SCIENCES , 2020 , 518 , 330-340 . |
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Consider the multiple hypothesis problem for n independent Poisson processes whose jump size of the intensity function varies with n. The intensity function contains two types of parameters, the jump instant and the shift or scale parameter, which produces the dependence of the statistics. The Bayes multiple procedure is proposed to diminish the effect of the dependence while three other procedures are constructed in comparison. For each procedure, we describe the choice of the thresholds, the power and the general power under the local alternatives as The numerical results show that the limit powers of the Bayes multiple procedure are higher than the others in the neighborhood of the null hypotheses.
Keyword :
Asymptotic behaviors Asymptotic behaviors local alternatives local alternatives multiple test procedures multiple test procedures variable change-point intensity variable change-point intensity
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GB/T 7714 | Yang, Lin . Multiple hypothesis testing for Poisson processes with variable change-point intensity [J]. | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2020 , 51 (3) : 744-766 . |
MLA | Yang, Lin . "Multiple hypothesis testing for Poisson processes with variable change-point intensity" . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 51 . 3 (2020) : 744-766 . |
APA | Yang, Lin . Multiple hypothesis testing for Poisson processes with variable change-point intensity . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2020 , 51 (3) , 744-766 . |
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The problem of hypothesis testing is considered in the case of observation of an inhomogeneous Poisson process with an intensity function depending on two parameters. It is supposed that the dependence on the first of them is sufficiently regular, while the second one is a change-point location. Under the null hypothesis the parameters take some known values, while under the alternative they are greater (with at least one of the inequalities being strict). Four test are studied: the general likelihood ratio test (GLRT), the Wald’s test and two Bayesian tests (BT1 and BT2). For each of the tests, expressions allowing to approximate its threshold and its limit power function by Monte Carlo numerical simulations are derived. Moreover, for the GLRT, an analytic equation for the threshold and an analytic expression of the limit power function are obtained. Finally, numerical simulations are carried out and the performance of the tests is discussed. © 2020, Springer Nature B.V.
Keyword :
Bayesian tests; Change-point; General likelihood ratio test; Hypothesis testing; Limit power function; Local alternatives; Neyman–Pearson envelope; Poisson process; Regularity; Wald’s test Bayesian tests; Change-point; General likelihood ratio test; Hypothesis testing; Limit power function; Local alternatives; Neyman–Pearson envelope; Poisson process; Regularity; Wald’s test
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GB/T 7714 | Dachian, S. , Yang, L. . Simultaneous Testing of Change-Point Location and of a Regular Parameter by Poisson Observations [J]. | Statistical Inference for Stochastic Processes , 2020 , 23 (3) : 465-487 . |
MLA | Dachian, S. et al. "Simultaneous Testing of Change-Point Location and of a Regular Parameter by Poisson Observations" . | Statistical Inference for Stochastic Processes 23 . 3 (2020) : 465-487 . |
APA | Dachian, S. , Yang, L. . Simultaneous Testing of Change-Point Location and of a Regular Parameter by Poisson Observations . | Statistical Inference for Stochastic Processes , 2020 , 23 (3) , 465-487 . |
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We consider the problem of hypothesis testing in the situation where the first hypothesis is simple and the second one is local one-sided composite. Wedescribe the choice of the thresholds and the power functions of different tests when the intensity function of the observed inhomogeneous Poisson process has two different types of singularity: cusp and discontinuity. The asymptotic results are illustrated by numerical simulations.
Keyword :
Asymptotic theory Asymptotic theory Composite alternatives Composite alternatives Hypothesis testing Hypothesis testing Inhomogeneous Poisson processes Inhomogeneous Poisson processes Singular situations Singular situations
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GB/T 7714 | Dachian, S. , Kutoyants, Yu. A. , Yang, L. . On hypothesis testing for Poisson processes. Singular cases [J]. | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2016 , 45 (23) : 6833-6859 . |
MLA | Dachian, S. et al. "On hypothesis testing for Poisson processes. Singular cases" . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 45 . 23 (2016) : 6833-6859 . |
APA | Dachian, S. , Kutoyants, Yu. A. , Yang, L. . On hypothesis testing for Poisson processes. Singular cases . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2016 , 45 (23) , 6833-6859 . |
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We consider the problem of hypothesis testing in the situation when the firsthypothesis is simple and the second one is local one-sided composite. We describe the choice of the thresholds and the power functions of the Score Function test, of the General Likelihood Ratio test, of the Wald test, and of two Bayes tests in the situation when the intensity function of the observed inhomogeneous Poisson process is smooth with respect to the parameter. It is shown that almost all these tests are asymptotically uniformly most powerful. The results of numerical simulations are presented.
Keyword :
Asymptotic theory Asymptotic theory composite alternatives composite alternatives hypothesis testing hypothesis testing inhomogeneous Poisson processes inhomogeneous Poisson processes regular situation regular situation
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GB/T 7714 | Dachian, S. , Kutoyants, Yu. A. , Yang, L. . On hypothesis testing for Poisson processes: Regular case [J]. | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2016 , 45 (23) : 6816-6832 . |
MLA | Dachian, S. et al. "On hypothesis testing for Poisson processes: Regular case" . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 45 . 23 (2016) : 6816-6832 . |
APA | Dachian, S. , Kutoyants, Yu. A. , Yang, L. . On hypothesis testing for Poisson processes: Regular case . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2016 , 45 (23) , 6816-6832 . |
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本文简要介绍了北斗卫星导航系统的发展,综述了北斗卫星导航区域系统的发展历程、发展规划、发展现状、应用现状及其国际间的交流。
Keyword :
交流 交流 北斗卫星导航系统 北斗卫星导航系统 发展历程 发展历程 应用 应用 现状 现状 规划 规划
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GB/T 7714 | 吴炳福 , 杨霖 . 北斗卫星定位导航系统的发展综述 [C] . 2015 : 1-4 . |
MLA | 吴炳福 et al. "北斗卫星定位导航系统的发展综述" . (2015) : 1-4 . |
APA | 吴炳福 , 杨霖 . 北斗卫星定位导航系统的发展综述 . (2015) : 1-4 . |
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中国建设的北斗系统是与世界其他卫星导航系统兼容共用的全球卫星导航系统,可为各类用户提供高精度、高可靠的定位、导航、授时服务。本文简要介绍了北斗卫星导航定位系统的发展简况、北斗系统的特点以及依赖于北斗系统的应用。
Keyword :
业机械化 业机械化 北斗系统 北斗系统 无人机导航 无人机导航
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GB/T 7714 | 苏建楠 , 杨霖 . 北斗卫星导航定位系统应用综述 [C] . 2015 : 1-4 . |
MLA | 苏建楠 et al. "北斗卫星导航定位系统应用综述" . (2015) : 1-4 . |
APA | 苏建楠 , 杨霖 . 北斗卫星导航定位系统应用综述 . (2015) : 1-4 . |
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