Towards holographic "brain" memory based on randomization and Walsh-Hadamard transformation

Daniel Berend, Shlomi Dolev, Sergey Frenkel, Ariel Hanemann

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The holographic conceptual approach to cognitive processes in the human brain suggests that, in some parts of the brain, each part of the memory (a neuron or a group of neurons) contains some information regarding the entire data.In Dolev and Frenkel (2010, 2012) we demonstrated how to encode data in a holographic manner using the Walsh-Hadamard transform. The encoding is performed on randomized information, that is then represented by a set of Walsh-Hadamard coefficients. These coefficients turn out to have holographic properties. Namely, any portion of the set of coefficients defines a "blurry image" of the original data.In this work, we describe a built-in error correction technique-enlarging the width of the matrix used in the Walsh-Hadamard transform to produce a rectangular Hadamard matrix. By adding this redundancy, the data can bear more errors, resulting in a system that is not affected by missing coefficients up to a certain threshold. Above this threshold, the loss of data is reflected by getting a "blurry image" rather than a concentrated damage. We provide a heuristic analysis of the ability of the technique to correct errors, as well as an example of an image saved using the system. Finally, we give an example of a simple implementation of our approach using neural networks as a proof of concept.

Original languageEnglish
Pages (from-to)87-94
Number of pages8
JournalNeural Networks
StatePublished - 1 May 2016


  • Holographic memory
  • Neural computation
  • Neural networks
  • Walsh-Hadamard

ASJC Scopus subject areas

  • Cognitive Neuroscience
  • Artificial Intelligence


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