PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
On the Varying Density of Faces in Face Space: Explanation of the Atypicality Effect in Terms of a Riemannian Metric and Potential Application to the Other Race Effect
Version 1
: Received: 8 April 2023 / Approved: 10 April 2023 / Online: 10 April 2023 (04:09:28 CEST)
How to cite:
Yang, C.; Fu, H.; Hsieh, C.; Hsu, P.; Townsend, J.T. On the Varying Density of Faces in Face Space: Explanation of the Atypicality Effect in Terms of a Riemannian Metric and Potential Application to the Other Race Effect. Preprints2023, 2023040140. https://doi.org/10.20944/preprints202304.0140.v1
Yang, C.; Fu, H.; Hsieh, C.; Hsu, P.; Townsend, J.T. On the Varying Density of Faces in Face Space: Explanation of the Atypicality Effect in Terms of a Riemannian Metric and Potential Application to the Other Race Effect. Preprints 2023, 2023040140. https://doi.org/10.20944/preprints202304.0140.v1
Yang, C.; Fu, H.; Hsieh, C.; Hsu, P.; Townsend, J.T. On the Varying Density of Faces in Face Space: Explanation of the Atypicality Effect in Terms of a Riemannian Metric and Potential Application to the Other Race Effect. Preprints2023, 2023040140. https://doi.org/10.20944/preprints202304.0140.v1
APA Style
Yang, C., Fu, H., Hsieh, C., Hsu, P., & Townsend, J.T. (2023). On the Varying Density of Faces in Face Space: Explanation of the Atypicality Effect in Terms of a Riemannian Metric and Potential Application to the Other Race Effect. Preprints. https://doi.org/10.20944/preprints202304.0140.v1
Chicago/Turabian Style
Yang, C., Po-Han Hsu and James T. Townsend. 2023 "On the Varying Density of Faces in Face Space: Explanation of the Atypicality Effect in Terms of a Riemannian Metric and Potential Application to the Other Race Effect" Preprints. https://doi.org/10.20944/preprints202304.0140.v1
Abstract
We employed the Riemannian Face Manifold (RFM) as an alternative approach to the conventional linear Euclidean space for explaining the atypicality bias in face likeliness judgments. The RFM posits that the mental representation of faces is better captured as a manifold of stable states, accounting for the nonlinearity in the physical properties of faces. To examine the relationship between physical and psychological distance of morph and typical/atypical faces, we manipulated the parameter k and incorporated a weight function in the Riemannian metric. Our results indicate that the psychological distance between the morph and typical face was longer than that between the morph and atypical face, consistent with prior research on the atypicality bias in perceptual similarity. The RFM approach provides mathematical support and is a powerful tool for studying face perception and recognition, offering potential implications for explaining the other-race effect. Future research can utilize the RFM to investigate individual differences in face recognition abilities and expertise, and how they impact psychological distance and face processing.
Keywords
atypicality bias; Euclidean geometry; face perception; face recognition; face space; other-race effect; Riemannian geometry
Subject
Social Sciences, Psychology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
