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Holographic Reduced Representation: Distributed Representation for Cognitive Structures Book

Holographic Reduced Representation: Distributed Representation for Cognitive Structures
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  • Holographic Reduced Representation: Distributed Representation for Cognitive Structures
  • Written by author Tony A. Plate
  • Published by Center for the Study of Language and Inf, April 2003
  • While neuroscientists garner success in identifying brain regions and in analyzing individual neurons, ground is still being broken at the intermediate scale of understanding how neurons combine to encode information. This book proposes a method of repres
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Authors

Preface
1Introduction1
2Review of connectionist and distributed memory models25
3Holographic reduced representations93
4HRRs in the frequency domain145
5Using convolution-based storage in systems that learn153
6Estimating analogical similarity175
7Discussion221
App. AMeans and variances of similarities between bindings233
App. BThe capacity of a superposition memory235
App. CA lower bound for the capacity of superposition memories245
App. DThe capacity of convolution-based associative memories249
App. EA lower bound for the capacity of convolution memories259
App. FMeans and variances of a signal261
App. GThe effect of normalization on dot-products263
App. HHRRs with circular vectors267
App. IArithmetic tables: an example of HRRs with many items in memory273
References277
Subject Index289
Author Index297


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