TY - JOUR
T1 - Theoretical Foundations for the Alpha-Beta Associative Memories
T2 - 10 Years of Derived Extensions, Models, and Applications
AU - Yáñez-Márquez, Cornelio
AU - López-Yáñez, Itzamá
AU - Aldape-Pérez, Mario
AU - Camacho-Nieto, Oscar
AU - Argüelles-Cruz, Amadeo José
AU - Villuendas-Rey, Yenny
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - The current paper contains the theoretical foundation for the off-the-mainstream model known as Alpha-Beta associative memories (αβ model). This is an unconventional computation model designed to operate as an associative memory, whose main application is the solution of pattern recognition tasks, particularly for pattern recall and pattern classification. Although this model was devised, proposed and created in 2002, it is worth noting that its theoretical support remains unpublished to this day. This is despite the fact that more than a hundred scientific articles have been published with applications, improvements, and new models derived from the αβ model. The present paper includes all the required definitions, and the rigorous mathematical demonstrations of the lemmas and theorems, explaining the operation of the αβ model, as well as the original models it has inspired or that have been derived from it. Also, brief descriptions of 60 selected articles related to the αβ model are presented. These latter works illustrate the competitiveness (and sometimes superiority) of several extensions and models derived from the original αβ model, when compared against some models and paradigms present in the mainstream current scientific literature.
AB - The current paper contains the theoretical foundation for the off-the-mainstream model known as Alpha-Beta associative memories (αβ model). This is an unconventional computation model designed to operate as an associative memory, whose main application is the solution of pattern recognition tasks, particularly for pattern recall and pattern classification. Although this model was devised, proposed and created in 2002, it is worth noting that its theoretical support remains unpublished to this day. This is despite the fact that more than a hundred scientific articles have been published with applications, improvements, and new models derived from the αβ model. The present paper includes all the required definitions, and the rigorous mathematical demonstrations of the lemmas and theorems, explaining the operation of the αβ model, as well as the original models it has inspired or that have been derived from it. Also, brief descriptions of 60 selected articles related to the αβ model are presented. These latter works illustrate the competitiveness (and sometimes superiority) of several extensions and models derived from the original αβ model, when compared against some models and paradigms present in the mainstream current scientific literature.
KW - Associative memory
KW - Binary operation
KW - Order relation
KW - αβ associative memories
UR - http://www.scopus.com/inward/record.url?scp=85035803637&partnerID=8YFLogxK
U2 - 10.1007/s11063-017-9768-2
DO - 10.1007/s11063-017-9768-2
M3 - Artículo
SN - 1370-4621
VL - 48
SP - 811
EP - 847
JO - Neural Processing Letters
JF - Neural Processing Letters
IS - 2
ER -