Distributional Models of Meaning (2019-2020)

2019-2020
External Lecturer(s): 
Prof Bob Coecke
General Prerequisites: 

It is recommended to either take Categories, Proofs and Processes or Quantum Computer Science (the relevant chapter for DMM will be given very early on in QCS). One can also get the relevant category-theoretic background from [3] and/or chapters 3-4 of [2].

Course Term: 
Hilary
Course Lecture Information: 

This is a reading course for MFoCS students only.

Course Level: 
M
Course Overview: 

Modelling the meaning of natural (as opposed to computer) languages is one of the hardest problems in artificial intelligence. Solving this problem has the potential to dramatically improve the quality and impact of a wide range of text and language processing applications such as text summarisation, search, machine translation, language generation, question answering, etc. A host of different approaches to this problem have been devised throughout the years. One notable approach is Formal Semantics, which treats natural languages as programming languages which ‘compile' to higher order logics. Another is Distributional Semantics, which models the meanings of words as points in high dimensional semantic spaces, determined by the contexts of occurrence. Recent research has attacked the task or reconciling the strengths of both of these approaches to produce compositional distributed (i.e. predominantly vector-based) models of meaning. This reading course serves as an introduction to the theoretical end of this new and rapidly growing field, with a focus on how to compose meanings of words to form meanings of phrases and sentences.

Learning Outcomes: 

Be up to date with the state-of-the-art of this new field of research

Course Synopsis: 

The course starts with reading [4] and then will move on to several follow-up papers.

Reading List: 

1. B. Coecke, An alternative gospel of structure: order, composition, processes. arXiv:1307.4038
2. B. Coecke and A. Kissinger. Picturing Quantum Processes. (Cambridge University Press, 2017).
3. B. Coecke and E. Paquette, Categories for the practising physicist. arXiv:0905.3010
4. B. Coecke, M. Sadrzadeh and S. Clark. Mathematical Foundations for a Compositional Distributional Model of Meaning. arXiv:1003.4394
5. C. Heunen, M.Sadrzadeh and E. Grefenstette, editors. Quantum Physics and Linguistics: A Compositional, Diagrammatic Discourse. (Oxford University Press, 2013).

Please note that e-book versions of many books in the reading lists can be found on SOLO and ORLO.