The class Σ_X(Ψ) of finite sums of a continuous squashing function applied to dual functionals is dense in C(K) under the uniform norm for compact K in a topological vector space X with separating dual.
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Density of Neural Network Classes on Compact Subsets of Topological Vector Spaces
The class Σ_X(Ψ) of finite sums of a continuous squashing function applied to dual functionals is dense in C(K) under the uniform norm for compact K in a topological vector space X with separating dual.