Abstract

Number sense, the ability to decipher quantity, forms the foundation for mathematical cognition. How number sense emerges with learning is, however, not known. Here we use a biologically-inspired neural architecture comprising cortical layers V1, V2, V3, and intraparietal sulcus (IPS) to investigate how neural representations change with numerosity training. Learning dramatically reorganized neuronal tuning properties at both the single unit and population levels, resulting in the emergence of sharply-tuned representations of numerosity in the IPS layer. Ablation analysis revealed that spontaneous number neurons observed prior to learning were not critical to formation of number representations post-learning. Crucially, multidimensional scaling of population responses revealed the emergence of absolute and relative magnitude representations of quantity, including mid-point anchoring. These learnt representations may underlie changes from logarithmic to cyclic and linear mental number lines that are characteristic of number sense development in humans. Our findings elucidate mechanisms by which learning builds novel representations supporting number sense.

How the brain represents numbers remains poorly understood. Here, the authors uncover the emergence of absolute and relative magnitude representations of quantity in a biologically-inspired neural network, mirroring observations in children during numerical skill acquisition.

Details

Title
Learning-induced reorganization of number neurons and emergence of numerical representations in a biologically inspired neural network
Author
Mistry, Percy K. 1   VIAFID ORCID Logo  ; Strock, Anthony 1 ; Liu, Ruizhe 1 ; Young, Griffin 1 ; Menon, Vinod 2   VIAFID ORCID Logo 

 Stanford University School of Medicine, Department of Psychiatry & Behavioral Sciences, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956) 
 Stanford University School of Medicine, Department of Psychiatry & Behavioral Sciences, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956); Stanford University School of Medicine, Department of Neurology & Neurological Sciences, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956); Stanford University School of Medicine, Wu Tsai Stanford Neuroscience Institute, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956); Stanford University, Graduate School of Education, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956); Stanford University, Stanford Institute for Human-Centered AI, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956) 
Pages
3843
Publication year
2023
Publication date
2023
Publisher
Nature Publishing Group
e-ISSN
20411723
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2831117672
Copyright
© The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.