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arXiv · 2204.02813

An Algebraic Approach to Learning and Grounding

Johanna Björklund·Adam Dahlgren Lindström·Frank Drewes
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Abstract

We consider the problem of learning the semantics of composite algebraic expressions from examples. The outcome is a versatile framework for studying learning tasks that can be put into the following abstract form: The input is a partial algebra $\alg$ and a finite set of examples $(\varphi_1, O_1), (\varphi_2, O_2), \ldots$, each consisting of an algebraic term $\varphi_i$ and a set of objects~$O_i$. The objective is to simultaneously fill in the missing algebraic operations in $\alg$ and ground the variables of every $\varphi_i$ in $O_i$, so that the combined value of the terms is optimised. We demonstrate the applicability of this framework through case studies in grammatical inference, picture-language learning, and the grounding of logic scene descriptions.

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Johanna Björklund, Adam Dahlgren Lindström, Frank Drewes. 2022-04-06. An Algebraic Approach to Learning and Grounding. https://arxiv.org/abs/2204.02813

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