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Lectures on Compressed Sensing and High‐Dimensional Linear Regression
【2014.6.22-25 1:30pm, N204】

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 2014-6-17 

  Colloquia & Seminars 

  Speaker

蔡天文 教授,美国宾夕法尼亚大学沃顿商学院

  Title

Lectures on Compressed Sensing and High‐Dimensional Linear Regression

  Time

2014.6.22-25 1:30pm                                                           

  Venue

N204 

  Abstract

This short course will focus on compressed sensing and high dimensional linear regression. These and other related problems have attracted much recent interest in a range of fields including statistics, machine learning and electrical engineering. In the high‐dimensional setting where the dimension p can be much larger than the sample size n, classical methods and results based on fixed p and large n are no longer applicable.
1.Constrained and penalized l_1 minimization methods for compressed sensing
2.High‐dimensional regression
3.Give a unified and elementary analysis on sparse signal recovery in three settings: noiseless, bounded noise and Gaussian noise
4. Construction of compressed sensing matrices will also be discussed

  Affiliation

蔡天文(Tony Cai)教授是美国宾夕法尼亚大学沃顿商学院统计学Dorothy Silberberg 讲座教授,2008 年国际统计学考普斯奖的获得者,国际数理统计学会会士, The Annals of Statistics(统计年刊)的主编(2010‐2012)。蔡教授1996 年获得康奈尔大学博士学位,他目前的研究兴趣包括大数据,高维统计,函数数据分析,大规模假设检验,非参数函数估计和统计决策理论。此外,他还感兴趣于在压缩遥感和基因组学上的应用。

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