The holographic conceptual approach for cognitive processes in human brain is investigated by neuroscientists due to the ability of holography to describe sophisticated phenomena of human perception and cognition. In this work we suggest a new mathematical description for Pribram's holographic or "holonomic" representation approach for the mind. Namely, we consider: (i) randomization of information, and (ii) Walsh-Hadamard spectral representation of holograms, rather than the well-known Fourier transform representation. The randomization reflects the belief that perceptual processes are not direct, but depend on the perceiver's expectations and previous knowledge as well as the information available in the stimulus itself. The use of Fourier transform and in our case Walsh-Hadamard transform reflects the possibility that each neuron or group of neurons encode some information about the entire image rather than the whole information about a part of the image. We demonstrate that the Walsh-Hadamard transform has benefits over the general Fourier transform. The encoding is performed on randomized information that is then represented by a set of spectral Wash-Hadamard coefficients that have holographic properties. Namely, any portion of the set of coefficients defines a "blurry image" of the original data. The values of the coefficients of the Walsh-Hadamard transformation are distributed approximately normally when the information is randomized, ensuring, with high probability, that growing sets of coefficients implies a monotonic gain of information. Moreover the randomization of the original information yields robust code that is able to cope with missing coefficients. The bridge between the randomization and holographic encoding with the well-known holographic human brain assumption may bring an interesting interpretation of the perception phenomena. In particular, holographic encoding fits the mystery of the human memory encoding, where damage of portions leaves a blurred image and memories. Finally, we give an example of a simple implementation of our approach using neural networks.
Skip Nav Destination
Article navigation
15 January 2013
PHYSICS, COMPUTATION, AND THE MIND - ADVANCES AND CHALLENGES AT INTERFACES: Proceedings of the 12th Granada Seminar on Computational and Statistical Physics
17–21 September 2012
La Herradura, Spain
Research Article|
January 15 2013
Towards holographic "brain" memory based on randomization and Walsh-Hadamard transformation
S. Dolev;
S. Dolev
Dept. of Computer Science, Ben-Gurion University of the Negev,
Israel
Search for other works by this author on:
S. Frenkel;
S. Frenkel
Institute of Informatics Problems,
Russia
Search for other works by this author on:
A. Hanemann
A. Hanemann
Dept. of Computer Science, Ben-Gurion University of the Negev,
Israel
Search for other works by this author on:
AIP Conf. Proc. 1510, 142–150 (2013)
Citation
S. Dolev, S. Frenkel, A. Hanemann; Towards holographic "brain" memory based on randomization and Walsh-Hadamard transformation. AIP Conf. Proc. 15 January 2013; 1510 (1): 142–150. https://doi.org/10.1063/1.4776518
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
19
Views
Citing articles via
The effect of a balanced diet on improving the quality of life in malignant neoplasms
Yu. N. Melikova, A. S. Kuryndina, et al.
Animal intrusion detection system using Mask RCNN
C. Vijayakumaran, Dakshata, et al.
Recognition of cat ras of face and body using convolutional neural networks
Akhmad Wahyu Aji, Esmeralda Contessa Djamal, et al.
Related Content
Optical image encryption using fresnel zone plate mask based on fast walsh hadamard transform
AIP Conference Proceedings (May 2018)
A sequency match filtering algorithm based on the generalized Walsh transform for processing rectangular wave signals
Rev. Sci. Instrum. (February 2024)
Walsh transforms
American Journal of Physics (May 1981)
Identification of faults in ball bearing using maximum overlap discrete wavelet transform and mutual information
AIP Conf. Proc. (January 2024)
Interference suppression for code-division multiple-access communications in an underwater acoustic channel
J. Acoust. Soc. Am. (July 2009)