Compositionality for Recursive Neural Networks

01/30/2019
by   Martha Lewis, et al.
0

Modelling compositionality has been a longstanding area of research in the field of vector space semantics. The categorical approach to compositionality maps grammar onto vector spaces in a principled way, but comes under fire for requiring the formation of very high-dimensional matrices and tensors, and therefore being computationally infeasible. In this paper I show how a linear simplification of recursive neural tensor network models can be mapped directly onto the categorical approach, giving a way of computing the required matrices and tensors. This mapping suggests a number of lines of research for both categorical compositional vector space models of meaning and for recursive neural network models of compositionality.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/06/2020

Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality

We develop a categorical compositional distributional semantics for Lamb...
research
01/26/2021

Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality (Extended Abstract)

We develop a categorical compositional distributional semantics for Lamb...
research
09/23/2021

Fuzzy Generalised Quantifiers for Natural Language in Categorical Compositional Distributional Semantics

Recent work on compositional distributional models shows that bialgebras...
research
11/08/2018

Applying Distributional Compositional Categorical Models of Meaning to Language Translation

The aim of this paper is twofold: first we will use vector space distrib...
research
04/29/2022

Decorated Linear Relations: Extending Gaussian Probability with Uninformative Priors

We introduce extended Gaussian distributions as a precise and principled...
research
12/20/2017

Dataflow Matrix Machines and V-values: a Bridge between Programs and Neural Nets

Dataflow matrix machines generalize neural nets by replacing streams of ...
research
10/24/2018

A Proof-Theoretic Approach to Scope Ambiguity in Compositional Vector Space Models

We investigate the extent to which compositional vector space models can...

Please sign up or login with your details

Forgot password? Click here to reset