| Resumen |
Abstract 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its theoretical support remains unpublished to this day.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. |
