PQ and TDS learning are equivalent in the distribution-free setting for Boolean classes, implying hardness for TDS halfspace learning but efficient algorithms with membership queries.
Klivans and Ryan O'Donnell and Rocco A
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Equivalence of Coarse and Fine-Grained Models for Learning with Distribution Shift
PQ and TDS learning are equivalent in the distribution-free setting for Boolean classes, implying hardness for TDS halfspace learning but efficient algorithms with membership queries.