McPheat, L;
Sadrzadeh, M;
Wazni, H;
Wijnholds, G;
(2021)
Categorical vector space semantics for lambek calculus with a relevant modality (extended abstract).
In: Spivak, D and Vicary, J, (eds.)
EPTCS 333 Proceedings of the 3rd Annual International Applied Category Theory Conference 2020.
(pp. pp. 168-182).
EPTCS: Cambridge, MA, USA.
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Abstract
We develop a categorical compositional distributional semantics for Lambek Calculus with a Relevant Modality, !L ∗ , which has a limited version of the contraction and permutation rules. The categorical part of the semantics is a monoidal biclosed category with a coalgebra modality as defined on Differential Categories. We instantiate this category to finite dimensional vector spaces and linear maps via “quantisation” functors and work with three concrete interpretations of the coalgebra modality. We apply the model to construct categorical and concrete semantic interpretations for the motivating example of !L ∗ : the derivation of a phrase with a parasitic gap. The effectiveness of the concrete interpretations are evaluated via a disambiguation task, on an extension of a sentence disambiguation dataset to parasitic gap phrases, using BERT, Word2Vec, and FastText vectors and Relational tensors
Type: | Proceedings paper |
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Title: | Categorical vector space semantics for lambek calculus with a relevant modality (extended abstract) |
Event: | 3rd Annual International Applied Category Theory Conference 2020 |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.4204/eptcs.333.12 |
Publisher version: | https://cgi.cse.unsw.edu.au/~eptcs/content.cgi?ACT... |
Language: | English |
Additional information: | This work is licensed under the Creative Commons Attribution License. http://creativecommons.org/licenses/by/3.0/ |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
URI: | https://discovery.ucl.ac.uk/id/eprint/10122601 |




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