A two step algorithm for learning from unspecific reinforcement

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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13 pages LaTeX, 4 figures, note on biologically motivated stochastic variant of the algorithm added

Scientific paper

10.1088/0305-4470/32/31/301

We study a simple learning model based on the Hebb rule to cope with "delayed", unspecific reinforcement. In spite of the unspecific nature of the information-feedback, convergence to asymptotically perfect generalization is observed, with a rate depending, however, in a non- universal way on learning parameters. Asymptotic convergence can be as fast as that of Hebbian learning, but may be slower. Moreover, for a certain range of parameter settings, it depends on initial conditions whether the system can reach the regime of asymptotically perfect generalization, or rather approaches a stationary state of poor generalization.

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