Power Enhancement for Dimension Detection of Gaussian Signals

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.5705/ss.202022.0315

Gaspard Bernard, Thomas Verdebout

引用次数: 0

Abstract

In the present section, our objective is to provide Monte-Carlo simulation results to corroborate the conclusions drawn from Proposition 1 and in Section 4. In the first simulation exercise, the objective is to illustrate Proposition 1. We generated M = 10, 000 independent samples of i.i.d. observations X (b) 1 , . . . ,X (b) 10,000, for b = 0, 1 4 , 1 2 , 1. The X (b) i ’s are i.i.d. with a common (p = 8)-dimensional Gaussian distribution with mean zero and covariance matrix

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高斯信号维数检测的功率增强

在本节中，我们的目标是提供蒙特卡罗模拟结果来证实从提案1和第4节中得出的结论。在第一个模拟练习中，目标是说明命题1。我们生成了M = 10,000个独立的i.i.d观测样本X (b) 1，…，X (b) 10000，对于b = 0,1,4,1,2,1。X (b) i ' s是i.i.d，具有平均为零的共(p = 8)维高斯分布和协方差矩阵

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.