The Alexander-Hirschowitz theorem for neurovarieties

Published 24 Nov 2025 in math.AG, cs.AI, cs.LG, and math.AC | (2511.19703v1)

Abstract: We study neurovarieties for polynomial neural networks and fully characterize when they attain the expected dimension in the single-output case. As consequences, we establish non-defectiveness and global identifiability for multi-output architectures.

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