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CATEGORIES:Statistics
SUMMARY:Two-sample testing of high-dimensional linear regr
ession coefficients via complementary sketching -
Tengyao Wang (LSE)
DTSTART;TZID=Europe/London:20220121T133000
DTEND;TZID=Europe/London:20220121T143000
UID:TALK168032AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/168032
DESCRIPTION:We introduce a new methodology for two-sample test
ing of high-dimensional linear regression coeffici
ents without assuming that those coefficients are
individually estimable. The procedure works by fir
st projecting the matrices of covariates and respo
nse vectors along directions that are complementar
y in sign in a subset of the coordinates\, a proce
ss which we call 'complementary sketching'. The re
sulting projected covariates and responses are agg
regated to form two test statistics. We show that
our procedure has essentially optimal asymptotic p
ower under Gaussian designs with a general class o
f design covariance matrices when the difference b
etween the two regression coefficients is sparse a
nd dense respectively. Simulations confirm that ou
r methods perform well in a broad class of setting
s.
LOCATION:MR12\, Centre for Mathematical Sciences
CONTACT:Qingyuan Zhao
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