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Insitute of Mathematical Science

Seminar: Random Forest Adjustment for Approximate Bayesian Computation

Seminar| Institute of Mathematical Sciences

Time𓀊:Tuesday, November 9th, 2021, 14:30-15:30 

Location:Tencent Meeting

 

Speaker:  Weixuan Zhu, Xiamen University


Abstract: We propose a novel method for regression adjustment in Approximate Bayesian Computation to help improve the accuracy and computational efficiency of the posterior inference. The proposed method uses random forest regression to model the connection between summary statistics and the parameters of interest. Compared with existing approaches, the proposed method bypasses the need of pre-selection of summary statistics in the model, and is capable of capturing the potential nonlinear relationship between the parameters of interest and summary statistics. We also introduce a measure to quantify the importance of each summary statistic used in the model. We study the asymptotic properties of the proposed estimator and show that it has an excellent finite-sample numerical performance via a simulation example and an application to a population genetic study. Supplemental materials for the article are available online.


Tencent Link https://meeting.tencent.com/dm/2vXciscyNJSu

Meeting ID: 215 687 702 

Meeting Password: 1109





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