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NeSyCat Torch: A Differentiable Tensor Implementation of Categorical Semantics for Neurosymbolic Learning

A framework for neurosymbolic learning that extends ULLER with a single inductive definition of truth.

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NeSyCat Torch: A Differentiable Tensor Implementation of Categorical Semantics for Neurosymbolic Learning

By Daniel Romero Schellhorn, Till Mossakowski, Björn GehrkearXiv
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The authors present NeSyCat Torch, a differentiable tensor implementation of categorical semantics for neurosymbolic learning. They extend the ULLER framework with a single inductive definition of truth, parametric in a strong monad and an aggregation structure on truth-values.

The framework is implemented in probabilistic programming and tensor-based backends, allowing for efficient training in batches.

Abstract

The authors present NeSyCat Torch, a differentiable tensor implementation of categorical semantics for neurosymbolic learning. They extend the ULLER framework with a single inductive definition of truth, parametric in a strong monad and an aggregation structure on truth-values. The framework is implemented in probabilistic programming and tensor-based backends, allowing for efficient training in batches.

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neurosymbolic learningcategorical semanticsdifferentiable tensor implementationprobabilistic programmingtensor-based backendsKnowledge GraphsLarge Language ModelsSemantic InteroperabilityOntology & Taxonomy
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