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To give vector-based representations of meaning more structure, one approach is to use positive semidefinite (psd) matrices.
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Type Grammar revisited
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Nouns are vectors, adjectives are matrices: Representing adjective-noun constructions in semantic space
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B. Coecke and E. O. Paquette · 2010
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Mathematical foundations for a compositional distributional model of meaning
B. Coecke, M. Sadrzadeh, and S. Clark · 2010
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Composition in distributional models of semantics
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Experimental support for a categorical compositional distributional model of meaning
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Sentence entailment in compositional distributional semantics
M. Sadrzadeh, D. Kartsaklis, and E. Balkır · 2018
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Graded hyponymy for compositional distributional semantics
D. Bankova, B. Coecke, M. Lewis, and D. Marsden · 2019
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The mathematics of text structure
B. Coecke · 2019
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