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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.
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1 Stanford University School of Medicine, Department of Psychiatry & Behavioral Sciences, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956)
2 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)