Linguistic matrix theory

DOI10.4171/AIHPD/75zbMath1447.91125arXiv1703.10252MaRDI QIDQ2327722

Sanjaye Ramgoolam, Mehrnoosh Sadrzadeh, Dimitrios Kartsaklis

Publication date: 15 October 2019

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10252

zbMATH Keywords

random matrix theorynatural language processingmatrix modelsrandom mapstensor modelstopological gravitydistributional semanticspermutation invariant distributions

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Linguistics (91F20)

Related Items (3)

Gaussianity and typicality in matrix distributional semantics ⋮ Hidden symmetries and large \(N\) factorisation for permutation invariant matrix observables ⋮ Permutation invariant Gaussian matrix models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lambek vs. Lambek: functorial vector space semantics and string diagrams for Lambek calculus
• Partition algebras.
• A new double-scaling limit of \(N=4\) super-Yang-Mills theory and \(pp\)-wave strings
• Sentence entailment in compositional distributional semantics
• Characteristic vectors of bordered matrices with infinite dimensions
• Coherence for compact closed categories
• The large-\(N\) limit of superconformal field theories and supergravity
• Exact correlators of giant gravitons from dual \(N=4\) SYM theory.
• The structure of the partition algebras
• Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups
• Large \(N\) field theories, string theory and gravity
• Counting tensor model observables and branched covers of the 2-sphere
• A Compositional Distributional Inclusion Hypothesis
• Entanglement entropy and quantum field theory
• The Mathematics of Sentence Structure
• Free compact 2-categories
• Holographic entanglement entropy: an overview
• A Brownian-Motion Model for the Eigenvalues of a Random Matrix
• A vector space model for automatic indexing
• Open System Categorical Quantum Semantics in Natural Language Processing
• On Information and Sufficiency

This page was built for publication: Linguistic matrix theory