### Abstract

We propose a new stopping condition for a Support Vector Machine (SVM) solver which precisely reflects the objective of the Leave-One-Out error computation. The stopping condition guarantees that the output on an intermediate SVM solution is identical to the output of the optimal SVM solution with one data point excluded from the training set. A simple augmentation of a general SVM training algorithm allows one to use a stopping criterion equivalent to the proposed sufficient condition. A comprehensive experimental evaluation of our method shows consistent speedup of the exact LOO computation by our method, up to the factor of 13 for the linear kernel. The new algorithm can be seen as an example of constructive guidance of an optimization algorithm towards achieving the best attainable expected risk at optimal computational cost.

Original language | English |
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Title of host publication | Proceedings of the 25th International Conference on Machine Learning |

Publisher | Association for Computing Machinery (ACM) |

Pages | 328-335 |

Number of pages | 8 |

ISBN (Print) | 9781605582054 |

DOIs | |

Publication status | Published - 2008 |

Externally published | Yes |

Event | 25th International Conference on Machine Learning - Helsinki, Finland Duration: 2008 Jul 5 → 2008 Jul 9 |

### Publication series

Name | Proceedings of the 25th International Conference on Machine Learning |
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### Other

Other | 25th International Conference on Machine Learning |
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Country | Finland |

City | Helsinki |

Period | 08/7/5 → 08/7/9 |

### ASJC Scopus subject areas

- Artificial Intelligence
- Human-Computer Interaction
- Software

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## Cite this

*Proceedings of the 25th International Conference on Machine Learning*(pp. 328-335). (Proceedings of the 25th International Conference on Machine Learning). Association for Computing Machinery (ACM). https://doi.org/10.1145/1390156.1390198