Strategic behavior can make VC-1 classes unlearnable, but first-order definability over R_exp preserves PAC learnability with complexity controlled by formula size.
Limitations of Learning Via Embeddings in Euclidean Half Spaces
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Strategic PAC Learnability via Geometric Definability
Strategic behavior can make VC-1 classes unlearnable, but first-order definability over R_exp preserves PAC learnability with complexity controlled by formula size.