Loading...

A mathematical framework for cellular learning automata

Beigy, H ; Sharif University of Technology | 2004

136 Viewed
  1. Type of Document: Article
  2. DOI: 10.1142/S0219525904000202
  3. Publisher: 2004
  4. Abstract:
  5. The cellular learning automata, which is a combination of cellular automata, and learning automata, is a new recently introduced model. This model is superior to cellular automata because of its ability to learn and is also superior to a single learning automaton because it is a collection of learning automata which can interact with each other. The basic idea of cellular learning automata, which is a subclass of stochastic cellular learning automata, is to use the learning automata to adjust the state transition probability of stochastic cellular automata. In this paper, we first provide a mathematical framework for cellular learning automata and then study its convergence behavior. It is shown that for a class of rules, called commutative rules, the cellular learning automata converges to a stable and compatible configuration. The numerical results also confirm the theoretical investigations
  6. Keywords:
  7. Cellular automata ; Cellular learning automata ; Interconnected automata ; Learning automata
  8. Source: Advances in Complex Systems ; Volume 7, Issue 3-4 , 2004 , Pages 295-319 ; 02195259 (ISSN)
  9. URL: https://www.worldscientific.com/doi/abs/10.1142/S0219525904000202