Develops algebraic geometry tools for monomial neural networks and proves the singular locus of neurovarieties is contained in the architectural degeneracy locus for fully connected networks with non-increasing widths and scalar output under layerwise regularity assumptions.
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Algebraic Networks and Architectural Degenerations
Develops algebraic geometry tools for monomial neural networks and proves the singular locus of neurovarieties is contained in the architectural degeneracy locus for fully connected networks with non-increasing widths and scalar output under layerwise regularity assumptions.