### 抜粋

Finding linear classifiers that maximize AUC scores is important in ranking research. This is naturally formulated as a 1-norm hard/soft margin optimization problem over pn pairs of p positive and n negative instances. However, directly solving the optimization problems is impractical since the problem size (pn) is quadratically larger than the given sample size (p+n). In this paper, we give (approximate) reductions from the problems to hard/soft margin optimization problems of linear size. First, for the hard margin case, we show that the problem is reduced to a hard margin optimization problem over p+n instances in which the bias constant term is to be optimized. Then, for the soft margin case, we show that the problem is approximately reduced to a soft margin optimization problem over p+n instances for which the resulting linear classifier is guaranteed to have a certain margin over pairs.

元の言語 | 英語 |
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ホスト出版物のタイトル | Algorithmic Learning Theory - 22nd International Conference, ALT 2011, Proceedings |

ページ | 324-337 |

ページ数 | 14 |

DOI | |

出版物ステータス | 出版済み - 2011 |

イベント | 22nd International Conference on Algorithmic Learning Theory, ALT 2011 - Espoo, フィンランド 継続期間: 10 5 2011 → 10 7 2011 |

### 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 | 6925 LNAI |

ISSN（印刷物） | 0302-9743 |

ISSN（電子版） | 1611-3349 |

### その他

その他 | 22nd International Conference on Algorithmic Learning Theory, ALT 2011 |
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国 | フィンランド |

市 | Espoo |

期間 | 10/5/11 → 10/7/11 |

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

## フィンガープリント Approximate reduction from AUC maximization to 1-norm soft margin optimization' 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

*Algorithmic Learning Theory - 22nd International Conference, ALT 2011, Proceedings*(pp. 324-337). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 6925 LNAI). https://doi.org/10.1007/978-3-642-24412-4_26