Towards logical negation for compositional distributional semantics

Abstract

The categorical compositional distributional model of meaning gives the composition of words into phrases and sentences pride of place. However, it has so far lacked a model of logical negation. This paper gives some steps towards providing this operator, modelling it as a version of projection onto the subspace orthogonal to a word. We give a small demonstration of the operators performance in a sentence entailment task.

References in corpus (6)

• Word Representations via Gaussian Embedding
• Mathematical Foundations for a Compositional Distributional Model of Meaning
• The Frobenius anatomy of word meanings I: subject and object relative pronouns
• Meaning updating of density matrices
• Ordering information on distributions
• Entailment Relations on Distributions