Using Binary Decision Diagrams to Efficiently Represent Alpha-Beta Associative Memories

Binary decision diagrams have been successful forms to represent Boolean functions, and associative memories have been one of the most important models for pattern recognition, being the alpha-beta associative memories the best available model today. In this paper we propose the use of binary decision diagrams to represent alpha-beta associative memories. By doing so, we are able to merge two important and very active areas of contemporary scientific research, and improve on both models

[1]  Cornelio Yáñez-Márquez,et al.  Memorias Asociativas Basadas en Relaciones de Orden y Operaciones Binarias , 2003, Computación y Sistemas.

[2]  Randal E. Bryant,et al.  Symbolic Boolean manipulation with ordered binary-decision diagrams , 1992, CSUR.

[3]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[4]  H. Andersen An Introduction to Binary Decision Diagrams , 1997 .

[5]  Juan Humberto Sossa Azuela,et al.  Associative Gray Level Pattern Processing using Binary Decomposition and α β Memories , 2005, Neural Processing Letters.

[6]  Rolf Drechsler,et al.  Implementation of read-k-times BDDs on top of standard BDD packages , 2001, VLSI Design 2001. Fourteenth International Conference on VLSI Design.

[7]  Randal E. Bryant,et al.  Graph-Based Algorithms for Boolean Function Manipulation , 1986, IEEE Transactions on Computers.

[8]  Peter Sussner,et al.  Morphological associative memories , 1998, IEEE Trans. Neural Networks.

[9]  Anand Srivastav,et al.  Ordered binary decision diagrams and the Shannon effect , 2004, Discret. Appl. Math..

[10]  Matthias Krause BDD-Based Cryptanalysis of Keystream Generators , 2002, EUROCRYPT.

[11]  Randal E. Bryant,et al.  An efficient graph representation for arithmetic circuitverification , 2001, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[12]  Randal E. Bryant,et al.  Symbolic Simulation, Model Checking and Abstraction with Partially Ordered Boolean Functional Vectors , 2004, CAV.

[13]  Alberto Flores Rueda,et al.  Computación Y Sistemas , 2022 .