Work

Minimax optimal approaches to the label shift problem

Year: 2020
Type: preprint
Abstract: We study minimax rates of convergence in the label shift problem. In addition to the usual setting in which the learner only has access to unlabeled examples from the target domain, we also consider the setting in which a small number of labeled examples from the target domain are available to the learner. Our study reveals a difference in the difficulty of the label shift problem in the two settings. We attribute this difference to the availability of data from the target domain to estimate the class conditional distributions in the latter setting. We also show that a distributional matching approach is minimax rate-optimal in the former setting.
Language: English
Open Access status: green
OpenAlex ID: W3013037761
Cites: 21
Cited by: 5
Related to: 10