Incorporating softmax in psychophysical detection models for normal and electric hearing

Journal Article (2026)
Author(s)

Savine S.M. Martens (Leiden University Medical Center)

Jeroen J. Briaire (Leiden University Medical Center)

Johan H.M. Frijns (Universiteit Leiden, TU Delft - Electrical Engineering, Mathematics and Computer Science, Leiden University Medical Center)

Research Group
Bio-Electronics
DOI related publication
https://doi.org/10.1016/j.mex.2026.103807 Final published version
More Info
expand_more
Publication Year
2026
Language
English
Research Group
Bio-Electronics
Journal title
MethodsX
Volume number
16
Article number
103807
Downloads counter
20
Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Abstract

Modeling psychophysical auditory detection has proven to be difficult, as with existing neural models and detection models, we were unable to adjust the slope of the psychometric curve accurately. In machine learning, the softmax function is an excellent tool to assign probabilities to model outputs. Incorporating this function into psychophysical detection models can enhance the precision of the auditory detection model. This study extended Hamacher’s detection model by integrating a softmax function, providing additional control over the slope of psychometric curves.•Using computational simulations of both normal and electric hearing, we applied this enhanced model to two psychophysical tasks: masker-probe detection and amplitude modulation detection.•The outcomes demonstrated that the normal hearing model aligned closely with expected performance, with predictable shifts in psychometric curves as the noise and slope parameters varied. In addition, with the electric hearing model, the new detection model could now reach lower asymptotes in the psychometric curve than with Hamacher’s detection model.•These findings suggest that incorporating the softmax function provides a flexible tool for modeling auditory psychophysical data. This tool has potential applications for in silico evaluation of speech coding strategies for cochlear implants.