Journal
JOURNAL OF MATHEMATICAL PSYCHOLOGY
Volume 54, Issue 3, Pages 338-340Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmp.2010.01.006
Keywords
Learning; Success rate; Exponential learning curve; Sigmoid learning curve
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Funding
- National Institute for Psychobiology in Israel (NIPI)
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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. (C) 2010 Elsevier Inc. All rights reserved.
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