Learning first-order definable concepts over structures of small degree

Martin Grohe; Martin Ritzert

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arXiv · 1701.05487

Learning first-order definable concepts over structures of small degree

Martin Grohe·Martin Ritzert

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Abstract

We consider a declarative framework for machine learning where concepts and hypotheses are defined by formulas of a logic over some background structure. We show that within this framework, concepts defined by first-order formulas over a background structure of at most polylogarithmic degree can be learned in polylogarithmic time in the "probably approximately correct" learning sense.

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Martin Grohe, Martin Ritzert. 2017-01-19. Learning first-order definable concepts over structures of small degree. https://arxiv.org/abs/1701.05487

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