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Valiant's learnability model revisited, new characterization established

By PulseAugur Editorial · Summary by gemini-2.5-flash-lite from 2 sources

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

Summary written by gemini-2.5-flash-lite from 2 sources. How we write summaries →

IMPACT Refines theoretical understanding of learnability, potentially influencing future algorithm design.

RANK_REASON Academic paper detailing theoretical computer science research.

Read on arXiv cs.LG →

COVERAGE [2]

  1. arXiv cs.LG TIER_1 · Manolis Zampetakis ·

    What is Learnable in Valiant's Theory of the Learnable?

    Valiant's 1984 paper is widely credited with introducing the PAC learning model, but it, in fact, introduced a different model: unlike PAC learning, the learner receives only positives, may issue membership queries, and must output a hypothesis with no false positives. Prior work…

  2. arXiv stat.ML TIER_1 · Steve Hanneke, Anay Mehrotra, Grigoris Velegkas, Manolis Zampetakis ·

    What is Learnable in Valiant's Theory of the Learnable?

    arXiv:2605.13840v1 Announce Type: new Abstract: Valiant's 1984 paper is widely credited with introducing the PAC learning model, but it, in fact, introduced a different model: unlike PAC learning, the learner receives only positives, may issue membership queries, and must output …

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