Some recent advances in reasoning based on analogical proportions

• URL: http://arxiv.org/abs/2212.11717v1
• Date: Thu, 22 Dec 2022 14:10:14 GMT
• Title: Some recent advances in reasoning based on analogical proportions
• Authors: Myriam Bounhas and Henri Prade and Gilles Richard
• Abstract summary: Analogical proportions play a key role in the formalization of analogical inference. The paper first discusses how to improve analogical inference in terms of accuracy and in terms of computational cost.
• Score: 9.861775841965386
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Analogical proportions compare pairs of items (a, b) and (c, d) in terms of their differences and similarities. They play a key role in the formalization of analogical inference. The paper first discusses how to improve analogical inference in terms of accuracy and in terms of computational cost. Then it indicates the potential of analogical proportions for explanation. Finally, it highlights the close relationship between analogical proportions and multi-valued dependencies, which reveals an unsuspected aspect of the former.

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