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What importance weights correct covariate shift?
PostedJun 24, 2026
Question: Assume covariate shift: the source and target domains have different input distributions, but Pₛ(y|x)=Pₜ(y|x). Which sample weight makes source risk resemble target risk?
A) Pₛ(x)/Pₜ(x)
B) Pₜ(x)/Pₛ(x)
C) Pₜ(y)/Pₛ(y)
D) Pₜ(y|x)/Pₛ(y|x)
Correct: B
Explanation: Source observations should be weighted according to how prevalent their feature values are in the target distribution relative to the source distribution. The ideal density ratio is therefore Pₜ(x)/Pₛ(x).
Topic: advanced ML / domain adaptation / covariate shift