What is Learnable in Valiant's Theory of the Learnable?
Researchers have revisited Valiant's original 1984 learnability model, which differs from the more common PAC learning model by allowing learners to issue membership queries and requiring hypotheses with no false positives. They established a new characterization for learnability in Valiant's model, showing it is strictly between PAC learning and a variant without queries. The study also presents the first algorithm for learning $d$-dimensional halfspaces within Valiant's framework, demonstrating their learnability with queries. AI
IMPACT Refines theoretical understanding of learnability, potentially influencing future algorithm design.