Efficient distribution-free population learning of simple concepts

Atsuyoshi Nakamura, Naoki Abe, Jun Ichi Takeuchi

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

1 被引用数 (Scopus)

抄録

We consider a variant of the 'population learning model' proposed by Kearns and Seung, in which the learner is required to be 'distribution-free' as well as computationally efficient. A population learner receives as input hypotheses from a large population of agents and produces as output its final hypothesis. Each agent is assumed to independently obtain labeled sample for the target concept and outputs a hypothesis. A polynomial time population learner is said to 'PAC learn' a concept class, if its hypothesis is probably approximately correct whenever the population size exceeds a certain bound which is polynomial, even if the sample size for each agent is fixed at some constant. We exhibit some general population learning strategies, and some simple concept classes that can be learned by them. These strategies include the 'supremum hypothesis finder,' the 'minimum superset finder' (a special case of the 'supremum hypothesis finder'), and various voting schemes. When coupled with appropriate agent algorithms, these strategies can learn a variety of simple concept classes, such as the 'high-low game,' conjunctions, axis-parallel rectangles and others. We give upper bounds on the required population size for each of these cases, and show that these systems can be used to obtain a speed up from the ordinary PAC-learning model, with appropriate choices of sample and population sizes. With the population learner restricted to be a voting scheme, what we have is effectively a model of 'population prediction,' in which the learner is to predict the value of the target concept at an arbitrarily drawn point, as a threshold function of the predictions made by its agents on the same point. We show that the population learning model is strictly more powerful than the population prediction model. Finally we consider a variant of this model with classification noise, and exhibit a population learner for the class of conjunctions in this model.

本文言語英語
ホスト出版物のタイトルAlgorithmic Learning Theory - 4th International Workshop on Analogical and Inductive Inference, AII 1994 and 5th International Workshop on Algorithmic Learning Theory, ALT 1994, Proceedings
編集者Setsuo Arikawa, Klaus P. Jantke
出版社Springer Verlag
ページ500-515
ページ数16
ISBN(印刷版)9783540585206
DOI
出版ステータス出版済み - 1994
外部発表はい
イベント4th International Workshop on Analogical and Inductive Inference, AII 1994 and 5th International Workshop on Algorithmic Learning Theory, ALT 1994 - Reinhardsbrunn Castle, ドイツ
継続期間: 10 10 199410 15 1994

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)
872 LNAI
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他4th International Workshop on Analogical and Inductive Inference, AII 1994 and 5th International Workshop on Algorithmic Learning Theory, ALT 1994
Countryドイツ
CityReinhardsbrunn Castle
Period10/10/9410/15/94

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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