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math.AG2026
Expressivity of Shallow Neural Networks Over Finite Fields
Maksym Zubkov, Carol Wu, Shiwei Yang +2
We study the expressivity of shallow polynomial neural networks (PNNs) with monomial activation functions over finite fields. For a given architecture, we define a neuromanifold as…
math.AG2025
Algebraic geometry of rational neural networks
Alexandros Grosdos, Elina Robeva, Maksym Zubkov
We study the expressivity of rational neural networks (RationalNets) through the lens of algebraic geometry. We consider rational functions that arise from a given RationalNet to b…