Search Results for author: Josiah Park

Found 2 papers, 0 papers with code

Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation

no code implementations25 Mar 2022 Josiah Park, Stephan Wojtowytsch

We prove for both real and complex networks with non-polynomial activation that the closure of the class of neural networks coincides with the closure of the space of polynomials.

Neural Network Approximation of Refinable Functions

no code implementations28 Jul 2021 Ingrid Daubechies, Ronald DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky, Kung-Ching Lin, Josiah Park, Guergana Petrova, Barak Sober

Namely, we show that refinable functions are approximated by the outputs of deep ReLU networks with a fixed width and increasing depth with accuracy exponential in terms of their number of parameters.

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