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arXiv 2305.08511cs.AI
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基于SAT的描述逻辑概念PAC学习

SAT-Based PAC Learning of Description Logic Concepts

ILLC, University of Amsterdam(阿姆斯特丹大学语言、逻辑与计算研究所);Leipzig University(莱比锡大学);Center for Scalable Data Analytics and Artificial Intelligence (ScaDS.AI)(可扩展数据分析与人工智能中心(ScaDS.AI));TU Dortmund University(多特蒙德工业大学)

Balder ten Cate, Maurice Funk, Jean Christoph Jung, Carsten Lutz

AI总结:

提出有界拟合方案用于本体存在下的描述逻辑概念学习,提供PAC泛化保证,并实现基于SAT的SPELL系统,性能优于现有学习器。

摘要:

我们提出将有界拟合作为一种在存在本体的情况下学习描述逻辑概念的方案。其主要优势在于,由此产生的学习算法在PAC学习的意义上对未见示例的泛化具有理论保证。我们证明,相比之下,其他几种自然学习算法无法提供此类保证。作为进一步贡献,我们介绍了系统SPELL,该系统基于SAT求解器高效实现了描述逻辑$\mathcal{ELH}^r$的有界拟合,并将其性能与最先进的学习器进行了比较。

英文摘要:

We propose bounded fitting as a scheme for learning description logic concepts in the presence of ontologies. A main advantage is that the resulting learning algorithms come with theoretical guarantees regarding their generalization to unseen examples in the sense of PAC learning. We prove that, in contrast, several other natural learning algorithms fail to provide such guarantees. As a further contribution, we present the system SPELL which efficiently implements bounded fitting for the description logic $\mathcal{ELH}^r$ based on a SAT solver, and compare its performance to a state-of-the-art learner.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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