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A nonlinear relationship between prediction errors and learning rates in human reinforcement-learning

Fig 2

Nonlinearity in trial-wise learning rates as a function of prediction errors and environmental noise.

One viable function, perhaps out of many possible solutions, accounting for the relationship between κ and σ is . This would suggest that the parameter K is a function of environmental noise, and one example of this exponential relationship is shown in Fig A in S1 Text. The figure demonstrates that the σ parameter can be estimated reliably between.01 and.4, covering the whole learning rate space. Note that for outcome magnitudes within the normalised space (i.e., [0 1]), values of σ higher than.3 would generate outcomes outside these boundaries. Here, ϒ denotes the Euler-Mascheroni constant.

doi: https://doi.org/10.1371/journal.pcbi.1013445.g002