The exponential learning equation as a function of successful trials results in sigmoid performance

Nathaniel Leibowitz, Barak Baum, Giora Enden, Amir Karniel

Research output: Contribution to journalArticlepeer-review

79 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)338-340
Number of pages3
JournalJournal of Mathematical Psychology
Volume54
Issue number3
DOIs
StatePublished - 1 Jun 2010

Keywords

  • Exponential learning curve
  • Learning
  • Sigmoid learning curve
  • Success rate

ASJC Scopus subject areas

  • Psychology (all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'The exponential learning equation as a function of successful trials results in sigmoid performance'. Together they form a unique fingerprint.

Cite this