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A preferential interpretation of MultiLayer Perceptrons in a conditional logic with typicality

International Journal of Approximate Reasoning (IJAR), 2023
29 April 2023
Mario Alviano
Francesco Bartoli
Marco Botta
Roberto Esposito
Laura Giordano
Daniele Theseider Dupré
ArXiv (abs)PDFHTML
Abstract

In this paper we investigate the relationships between a multipreferential semantics for defeasible reasoning in knowledge representation and a multilayer neural network model. Weighted knowledge bases for a simple description logic with typicality are considered under a (many-valued) ``concept-wise" multipreference semantics. The semantics is used to provide a preferential interpretation of MultiLayer Perceptrons (MLPs). A model checking and an entailment based approach are exploited in the verification of conditional properties of MLPs.

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