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arXiv · 1809.08823

Representing Sets as Summed Semantic Vectors

Douglas Summers-Stay·Peter Sutor·Dandan Li
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Abstract

Representing meaning in the form of high dimensional vectors is a common and powerful tool in biologically inspired architectures. While the meaning of a set of concepts can be summarized by taking a (possibly weighted) sum of their associated vectors, this has generally been treated as a one-way operation. In this paper we show how a technique built to aid sparse vector decomposition allows in many cases the exact recovery of the inputs and weights to such a sum, allowing a single vector to represent an entire set of vectors from a dictionary. We characterize the number of vectors that can be recovered under various conditions, and explore several ways such a tool can be used for vector-based reasoning.

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Douglas Summers-Stay, Peter Sutor, Dandan Li. 2018-09-24. Representing Sets as Summed Semantic Vectors. https://arxiv.org/abs/1809.08823

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