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arXiv · 2305.00304

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

Mario Alviano·Francesco Bartoli·Marco Botta·Roberto Esposito·Laura Giordano·Daniele Theseider Dupré
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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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Mario Alviano, Francesco Bartoli, Marco Botta, Roberto Esposito, Laura Giordano, Daniele Theseider Dupré. 2023-04-29. A preferential interpretation of MultiLayer Perceptrons in a conditional logic with typicality. https://arxiv.org/abs/2305.00304

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