Page 299 - Deep Learning
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282                         Adaptation


                       (a)   35
                                             Single Simulated Subject
                             30
                                                         2
                                                       R =1
                             25
                          Errors per Trial  20


                             15

                             10

                              5

                              0
                                0     2    4     6     8     10
                                             Trial
                       (b)  2000
                                         Sum of 50 Simulated Subjects
                                                      2
                                                     R =0.99
                            1500
                          Errors per Trial  1000






                            500


                              0
                               0     5    10   15   20    25   30
                                              Trial
            Figure 8.6.  The effect of additive aggregation on the shape of the error reduction
            curve. Panel (a) shows a simulated subject with perfect fit to an exponential curve.
            Panel (b) shows the curve for the sum of the performance of 50 simulated subjects.


            curve of the shape we would expect from the prior analysis. Other transportation
            industries analyzed by Duffey and co-workers conform to the same pattern.
               The additive model is applicable to the case of populations, defined here
            as sets of nearly independent operators. However, this case is oversimplified.
            It is more common that the agents in a social system interact in ways that
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