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URL:https://www · Neural Networks · DOI 10.1016/s0893-6080(02)00032-1

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2026 1

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Expressivity of Shallow Neural Networks Over Finite Fields

math.AG · 2026-07-19 · accept · novelty 7.0

For shallow polynomial networks over finite fields, the representable-function count is computed exactly for (n,1,k) and (n,2,k), and collapses to a linear-matrix count when the activation degree is a power of the field characteristic.

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  • Expressivity of Shallow Neural Networks Over Finite Fields math.AG · 2026-07-19 · accept · none · ref 414

    For shallow polynomial networks over finite fields, the representable-function count is computed exactly for (n,1,k) and (n,2,k), and collapses to a linear-matrix count when the activation degree is a power of the field characteristic.