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FLDS: A Flexible, Limited, Double-Sigmoid Transmission Function

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  • Albert Rosenberger

Abstract

The values of a measured, derived or estimated variable often differ from the “true,†“undistorted†values of a desired dimension. Output values of noncalibrated measuring instruments, misspecification of analysis models or too inflexible activation functions can lead to inappropriate decisions in all situations. Therefore, a highly flexible mathematical function (FLDS) for the isotonic transformation of a variable X of the value space (0-1) to a variable Y of the same value space (0-1) is presented here. With four or six parameters, almost all conceivable function curves can be represented. This allows overcoming restrictions of other functions, such as linearity or constant curvature. FLDS outperforms competitors such as spline functions or an adapted version of the Emax function in terms of the goodness of fit to the simulated data. The FLDS function can be used in a variety of ways.

Suggested Citation

  • Albert Rosenberger, 2026. "FLDS: A Flexible, Limited, Double-Sigmoid Transmission Function," Journal of Probability and Statistics, Hindawi, vol. 2026, pages 1-10, March.
    • Handle: RePEc:hin:jnljps:6076741
    DOI: 10.1155/jpas/6076741
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