TY - JOUR
T1 - The exponential learning equation as a function of successful trials results in sigmoid performance
AU - Leibowitz, Nathaniel
AU - Baum, Barak
AU - Enden, Giora
AU - Karniel, Amir
N1 - Funding Information:
The research was supported by The National Institute for Psychobiology in Israel (NIPI) Young investigator research grant for AK. We thank Frank Ritter for helpful comments.
PY - 2010/6/1
Y1 - 2010/6/1
N2 - While the exponential learning equation, indicating a gradually diminishing improvement, is one of the standard equations to describe learning, a sigmoid behavior with initially increasing then decreasing improvement has also been suggested. Here we show that the sigmoid behavior is mathematically derived from the standard exponential equation when the independent variable of the equation is restricted to the successful trials alone. It is suggested that for tasks promoting success-based learning, performance is better described by the derived sigmoid curve.
AB - While the exponential learning equation, indicating a gradually diminishing improvement, is one of the standard equations to describe learning, a sigmoid behavior with initially increasing then decreasing improvement has also been suggested. Here we show that the sigmoid behavior is mathematically derived from the standard exponential equation when the independent variable of the equation is restricted to the successful trials alone. It is suggested that for tasks promoting success-based learning, performance is better described by the derived sigmoid curve.
KW - Exponential learning curve
KW - Learning
KW - Sigmoid learning curve
KW - Success rate
UR - http://www.scopus.com/inward/record.url?scp=77952424237&partnerID=8YFLogxK
U2 - 10.1016/j.jmp.2010.01.006
DO - 10.1016/j.jmp.2010.01.006
M3 - Article
AN - SCOPUS:77952424237
SN - 0022-2496
VL - 54
SP - 338
EP - 340
JO - Journal of Mathematical Psychology
JF - Journal of Mathematical Psychology
IS - 3
ER -