A Characterization of Multilabel Learnability

01/06/2023

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by   Vinod Raman, et al.

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We consider the problem of multilabel classification and investigate learnability in batch and online settings. In both settings, we show that a multilabel function class is learnable if and only if each single-label restriction of the function class is learnable. As extensions, we also study multioutput regression in the batch setting and bandit feedback in the online setting. For the former, we characterize learnability w.r.t. L_p losses. For the latter, we show a similar characterization as in the full-feedback setting.