### 抜粋

Computational knowledge discovery can be considered to be a complicated human activity concerned with searching for something new from data with computer systems. The optimization of the entire process of computational knowledge discovery is a big challenge in computer science. If we had an atlas of hypothesis classes which describes prior and basic knowledge on relative relationship between the hypothesis classes, it would be helpful in selecting hypothesis classes to be searched in discovery processes. In this paper, to give a foundation for an atlas of various classes of hypotheses, we have defined a measure of approximation of a hypothesis class C_{1} to another class C_{2}. The hypotheses we consider here are restricted to m-ary Boolean functions. For 0 ≤ ε ≤ 1, we say that C_{1} is (1−ε)-approximated to C_{2} if, for every distribution D over {0, 1}^{m}, and for each hypothesis h_{1} ∈ C_{1}, there exists a hypothesis h_{2} ∈ C_{2} such that, with the probability at most ε, we have h_{1}(x) ≠ h_{2}(x) where x ∈ {0, 1}^{m} is drawn randomly and independently according to D. Thus, we can use the approximation ratio of C_{1} to C_{2} as an index of how similar C_{1} is to C_{2}. We discuss lower bounds of the approximation ratios among representative classes of hypotheses like decision lists, decision trees, linear discriminant functions and so on. This prior knowledge would come in useful when selecting hypothesis classes in the initial stage and the sequential stages involved in the entire discovery process.

元の言語 | 英語 |
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ホスト出版物のタイトル | Discovery Science - 5th International Conference, DS 2002, Proceedings |

編集者 | Steffen Lange, Ken Satoh, Carl H. Smith |

出版者 | Springer Verlag |

ページ | 220-232 |

ページ数 | 13 |

ISBN（印刷物） | 3540001883, 9783540001881 |

DOI | |

出版物ステータス | 出版済み - 2002 |

イベント | 5th International Conference on Discovery Science, DS 2002 - Lubeck, ドイツ 継続期間: 11 24 2002 → 11 26 2002 |

### 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) |
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巻 | 2534 |

ISSN（印刷物） | 0302-9743 |

ISSN（電子版） | 1611-3349 |

### その他

その他 | 5th International Conference on Discovery Science, DS 2002 |
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国 | ドイツ |

市 | Lubeck |

期間 | 11/24/02 → 11/26/02 |

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

## フィンガープリント Toward drawing an atlas of hypothesis classes: Approximating a hypothesis via another hypothesis model' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Discovery Science - 5th International Conference, DS 2002, Proceedings*(pp. 220-232). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 2534). Springer Verlag. https://doi.org/10.1007/3-540-36182-0_20