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高维t分布场合下图模型的贝叶斯估计 被引量:2
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作者 李凡群 张孔生 《统计与决策》 CSSCI 北大核心 2021年第4期42-45,共4页
文章利用自适应Lasso估计的贝叶斯解释,构造了惩罚函数的分层贝叶斯先验模型,从而给出了t分布场合下的精确矩阵诸参数估计的分层贝叶斯模型,得到了精确矩阵自适应惩罚下的贝叶斯Lasso估计。随机模拟结果表明,该模型适用于高斯分布场合... 文章利用自适应Lasso估计的贝叶斯解释,构造了惩罚函数的分层贝叶斯先验模型,从而给出了t分布场合下的精确矩阵诸参数估计的分层贝叶斯模型,得到了精确矩阵自适应惩罚下的贝叶斯Lasso估计。随机模拟结果表明,该模型适用于高斯分布场合下精确矩阵的估计,而且在污染数据和错误假定模型的情况下,都有较好的表现。 展开更多
关键词 图模型选择 高维t分布 贝叶斯Lasso 修正的Cholesky分解
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The theory of information images: Modeling based on diffusion equations
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作者 Alexandr Y. Petukhov Sofia A. Polevaya Vladimir G. Yakhno 《International Journal of Biomathematics》 2016年第6期139-150,共12页
This work represents a formalized description of information and communicative interac- tions of individuals on the basis of theory of information images (II). It also demonstrates how important it is to choose the ... This work represents a formalized description of information and communicative interac- tions of individuals on the basis of theory of information images (II). It also demonstrates how important it is to choose the models type adequate to the systems under research. It also introduces an explication of the possibility to create the model of information and communication interactions that can illustrate transmission of information between two and more individuals. Methods and approaches suggested in this paper allow us to compare different levels of the described processes depending on the chosen architecture of the model; the methods and approaches mentioned in the current work can be also used to simulate the processes of distortion and generation of information images while information and communication social interaction. Expansion and addition of informa- tion images theory in terms of transmission of information among individuals enables us to speak about the space of individual II. The existence of such a space and creation of correct formalized model help us to explain a number of characteristic phenomena of human thinking processes. As a result of this research, the authors introduce an equa- tion that describes the spatial and structural evolution of individual II. There is also an example of modeling on the basis of this theory taking into account the results of the experiment (bilingual Stroop test). 展开更多
关键词 Communication field information image the information images space vir-tual particles bilingual Stroop test.
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