Recognition of Temporal Sequences of Patterns

Details Recognition of Temporal Sequences of Patterns Recognition of Temporal Sequences of Patterns

1994-08-26

arxiv.org/abs/comp-gas/9408001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

18 pages in PlainTeX, with 5 figures available on request to the authors. To appear in J. Phys. A: Math. Gen

Scientific paper

Using an asymmetric associative network with synchronous updating, it is possible to recall a sequence of patterns. To obtain a stable sequence generation with a large storage capacity, we introduce a threshold that eliminates the contribution of weakly correlated patterns. For this system we find a set of evolution equations for the overlaps of the states with the patterns to be recognized. We solve these equations in the limit of the stationary cycle, and obtain the critical value of the capacity as a function of the threshold and temperature. Finally, a numerical simulation is made, confirming the theoretical results.

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