Holographic reduced representations

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Holographic reduced representations

Associative memories are conventionally used to represent data with very simple structure: sets of pairs of vectors. This paper describes a method for representing more complex compositional structure in distributed representations. The method uses circular convolution to associate items, which are represented by vectors. Arbitrary variable bindings, short sequences of various lengths, simple f...

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Holographic Reduced Representations: Convolution Algebra for Compositional Distributed Representations

A solution to the problem of representing compositional structure using distributed representations is described. The method uses circular convolution to associate items, which are represented by vectors. Arbitrary variable bindings, short sequences of various lengths, frames, and reduced representations can be compressed into a xed width vector. These representations are items in their own rig...

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Estimating Analogical Similarity by Dot-Products of Holographic Reduced Representations

Models of analog retrieval require a computationally cheap method of estimating similarity between a probe and the candidates in a large pool of memory items. The vector dot-product operation would be ideal for this purpose if it were possible to encode complex structures as vector representations in such a way that the superficial similarity of vector representations reflected underlying struc...

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Learning the systematic transformation of holographic reduced representations

Holographic Reduced Representation is a representational scheme which allows for the representation of variable-sized structures in a distributed manner. It has been shown that these compositional structures can be transformed holistically. However, in order to do so, the transformation vector was constructed by hand. In this paper we present two methods of learning the holistic transformation ...

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ژورنال

عنوان ژورنال: IEEE Transactions on Neural Networks

سال: 1995

ISSN: 1045-9227

DOI: 10.1109/72.377968