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seminars:stat:201112 [2020/11/03 18:01] qyuseminars:stat:201112 [2020/11/03 19:44] (current) qyu
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 +<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
 +
 +<WRAP 70% center>
 +^  **DATE:**|Thursday, Nov. 12, 2020 |
 +^  **TIME:**|1:15pm -- 2:15pm |
 +^  **LOCATION:**|Zoom meeting |
 +^  **SPEAKER:**|Xiaoke Qin, Binghamton University |
 +^  **TITLE:**|Variable selection for sparse Dirichlet-Multinomail regression with an application to microbiome data analysis. |
 +</WRAP>
 +\\ 
 +
 +<WRAP center box 80%>
 +<WRAP centeralign>**Abstract**</WRAP>
 +With the development of next generation sequencing technology, 
 +researchers have now been able to study the microbiome composition using 
 +direct sequencing, whose output are bacterial taxa counts for each 
 +microbiomesample. One goal of microbiome study is to associate the 
 +microbiome composition with environmental covariates. This paper 
 +proposes to model the taxa counts using a Dirichlet-multinomial (DM) 
 +regression model in order to account for overdispersion of observed 
 +counts. The DM regression model can be used for testing the association 
 +between taxa composition and covariates using the likelihood ratio test. 
 +However, when the number of covariates is large, multiple testing can 
 +lead to loss of power. To address the high dimensionality of the 
 +problem, a penalized likelihood approach is proposed to estimate the 
 +regression parameters and to select the variables by imposing a sparse 
 +group l_2 penalty to encourage both group-level and within-group 
 +sparsity. Such a variable selection procedure can lead to selection of 
 +the relevant covariates and their associated bacterial taxa. An 
 +efficient block-coordinate descent algorithm is developed to solve the 
 +optimization problem in this paper. The authors also demonstrate the 
 +power of the method in the analysis of a data set evaluating the 
 +nutrient intake on the human gut microbiome.
 +</WRAP>
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