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Two-sample testing of high-dimensional linear regression coefficients via complementary sketching

发布时间:2022-10-19 浏览量:40

时   间:  2022-10-19 14:00 — 15:00

地   点:  腾讯会议 APP()
报告人:  高凤楠
单   位:  复旦大学
邀请人:  刘林
备   注:  腾讯会议ID:772-180-946
报告摘要:  

We introduce a new method for two-sample testing of high-dimensional linear regression coefficients without assuming that those coefficients are individually estimable. The procedure works by first projecting the matrices of covariates and response vectors along directions that are complementary in sign in a subset of the coordinates, a process which we call 'complementary sketching'. The resulting projected covariates and responses are aggregated to form two test statistics, which are shown to have essentially optimal asymptotic power under a Gaussian design when the difference between the two regression coefficients is sparse and dense, respectively. Simulations confirm that our methods perform well in a broad class of settings, and an application to a large single-cell RNA sequencing dataset demonstrates its utility in the real world.