Uniform characterizations of Polynomial-Query learnabilities

Yosuke Hayashi, Satoshi Matsumoto, Ayumi Shinohara, Masayuki Takeda

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

5 被引用数 (Scopus)

抄録

We consider the exact learning in the query model. We deal with all types of queries introduced by Angluin: membership, equivalence, superset, subset, disjointness and exhaustiveness queries, and their weak (or restricted) versions where no counterexample is returned. For each of all possible combinations of these queries, we uniformly give complete characterizations of boolean concept classes that are learnable using a polynomial number of polynomial sized queries. Our characterizations show the equivalence between the learnability of a concept class C using queries and the existence of a good query for any subset H of C which is guaranteed to reject a certain fraction of candidate concepts in H regardless of the answer. As a special case for equivalence queries alone, our characterizations directly correspond to the lack of the approximate fingerprint property, which is known to be a sufficient and necessary condition for the learnability using equivalence queries.

本文言語英語
ホスト出版物のタイトルDiscovery Science - 1st International Conference, DS 1998, Proceedings
編集者Setsuo Arikawa, Hiroshi Motoda
出版社Springer Verlag
ページ84-92
ページ数9
ISBN(印刷版)3540653902, 9783540653905
DOI
出版ステータス出版済み - 1998
イベント1st International Conference on Discovery Science, DS 1998 - Fukuoka, 日本
継続期間: 12 14 199812 16 1998

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
1532
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他1st International Conference on Discovery Science, DS 1998
Country日本
CityFukuoka
Period12/14/9812/16/98

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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