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In psychology[ edit ] The first person to describe the learning curve was Hermann Ebbinghaus in His tests involved memorizing series of nonsense syllablesand recording the success over a number of trials.
The translation la courbe d experience not use the term learning curve—but he presents diagrams of learning against trial number.
He also notes that the score can la courbe d experience, or even oscillate. He also discussed the properties of different types of learning curves, such as negative acceleration, positive acceleration, plateaus, and ogive curves.
Fig 1  InTheodore Paul Wright described the effect of learning on production costs in the aircraft industry and proposed a mathematical model of the learning curve.
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He named this particular version the experience curve. Efficiency and productivity improvement can be considered as whole organization or industry or economy learning processes, as well la courbe d experience for individuals.
The general pattern is of first speeding up and then slowing down, as the practically achievable level of methodology improvement is reached.
The effect la courbe d experience reducing local effort and resource use by learning improved methods paradoxically often has the opposite latent effect on the next larger scale system, by facilitating its expansion, or economic growthas discussed in the Jevons paradox in the s and updated in the Khazzoom-Brookes Postulate in the s.
Examples and mathematical modeling[ edit ] A learning curve is a plot of proxy measures for implied learning proficiency or progression toward a limit with experience.
Learning curve - Wikipedia
The Horizontal Axis la courbe d experience experience either directly as time clock time, or the time spent on the activityor can be related to time a la courbe d experience of trials, or the total number of units produced.
The Vertical Axis is a measure representing learning or proficiency or other proxy for "efficiency" or "productivity". It can either be increasing for example, the score in a testor decreasing the time to complete a test.
Fig 5 For the performance of one person in a series of trials the curve can be erratic, with proficiency increasing, decreasing or leveling out in a plateau. Fig 1 When the results of a large number of individual trials are averaged then a smooth curve results, which can often be described with a mathematical la courbe d experience.
Fig 2 Fig 3: S-Curve or Sigmoid La courbe d experience Fig 4: Exponential growth Fig 5: Exponential rise or fall to a limit Fig 6: Power Law Several main functions have been used: That idealizes the normal progression from discovery of something to learn about followed to the limit of what learning about it.
In this case the improvement of proficiency starts slowly, then increases rapidly, and finally levels off.
Fig 3 Exponential growth The proficiency can increase without limit, as in Exponential growth Fig 4 Exponential rise or fall to a Limit Proficiency can exponentially approach a limit in a manner similar to that in which a capacitor charges or discharges Exponential decay through a resistor.
Fig 5 The increase in skill or retention of information may increase rapidly to its maximum rate during the initial attempts, and then gradually levels out, meaning that the subject's skill does not improve much with each later repetition, with less new knowledge gained over time.
Power law This is similar la courbe d experience appearance to an Exponential decay function, and is almost always used la courbe d experience a decreasing performance metric, such as cost.