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Stochastic Automata Models with Applications to Learning Systems

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2 Author(s)
Viswanathan, R. ; Becton Center, Yale University, New Haven, Conn.; Bolt Beranek and Newman, Inc., Cambridge, Mass. 02138. ; Narendra, Kumpati S.

The performance of variable-structure stochastic automata in stationary random environments has been extensively studied for the case when the environment's response is 0 or 1 (P model). A method is suggested for extending the updating schemes known for the P model to the S model, where the environment's output can lie in the interval [0,1], and a class of optimal nonlinear schemes for the S model is derived. Computer simulations reveal the superior performance of the S model in multimodal search even when the bounds on the performance function are unknown.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-3 ,  Issue: 1 )