Dimensional Reduction in Vector Space Methods for Natural Language Processing: Products and Projections

We introduce vector space based approaches to natural language processing and
some of their similarities with quantum theory when applied to information retrieval. We
explain how dimensional reduction is called for from both a practical and theoretical point
of view and how this can be achieved through choice of product or through projectors onto
subspaces.

Publication year:2011

Keywords:Natural language processing, Quantum theory, subspace, tensor product, convolution product