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It has frequently been claimed that learning performance improves with practice according to the so-called “Power Law of Learning.”
Similarly, forgetting may follow a power law. It has been shown on the basis of extensive simulations that such power laws
may emerge through averaging functions with other, nonpower function shapes. In the present article, we supplement these simulations
with a mathematical proof that power functions will indeed emerge as a result of averaging over exponential functions, if
the distribution of learning rates follows a gamma distribution, a uniform distribution, or a half-normal function. Through
a number of simulations, we further investigate to what extent these findings may affect empirical results in practice. 相似文献