T-norms driven loss functions for machine learning
نویسندگان
چکیده
Neural-symbolic approaches have recently gained popularity to inject prior knowledge into a learner without requiring it induce this from data. These can potentially learn competitive solutions with significant reduction of the amount supervised A large class neural-symbolic is based on First-Order Logic represent knowledge, relaxed differentiable form using fuzzy logic. This paper shows that loss function expressing these learning tasks be unambiguously determined given selection t-norm generator. When restricted learning, presented theoretical apparatus provides clean justification popular cross-entropy loss, which has been shown provide faster convergence and reduce vanishing gradient problem in very deep structures. However, proposed formulation extends advantages general represented by method. Therefore, methodology allows development novel functions, are experimental results lead rates than previously literature.
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ژورنال
عنوان ژورنال: Applied Intelligence
سال: 2023
ISSN: ['0924-669X', '1573-7497']
DOI: https://doi.org/10.1007/s10489-022-04383-6