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DisCoCat is a mathematical framework for natural language processing which uses category theory to unify distributional semantics with the principle of compositionality. The grammatical derivations in a categorial grammar are interpreted as linear maps acting on the tensor product of word vectors to produce the meaning of a sentence or a piece of text. String diagrams are used to visualise information flow and reason about natural language semantics.
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References
- ↑ Kapustin, Anton (2013). "Is there life beyond Quantum Mechanics?". arXiv: 1303.6917 [quant-ph].
- ↑ Selinger, P. (2012) [2008]. "Finite dimensional Hilbert spaces are complete for dagger compact closed categories". Logical Methods in Computer Science. 8 (3). arXiv: 1207.6972 . CiteSeerX 10.1.1.749.4436 . doi:10.2168/LMCS-8(3:6)2012.
- ↑ Hasegawa, M.; Hofmann, M.; Plotkin, G. (2008). "Finite Dimensional Vector Spaces Are Complete for Traced Symmetric Monoidal Categories". In Avron, A.; Dershowitz, N.; Rabinovich, A. (eds.). Pillars of Computer Science. Vol. 4800. Lecture Notes in Computer Science: Springer. pp. 367–385. CiteSeerX 10.1.1.443.3495 . doi:10.1007/978-3-540-78127-1_20. ISBN 978-3-540-78127-1.
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