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Research map / Architectures and efficiency / RNNs and normalization

On the Expressive Power of Deep Polynomial Neural Networks

NeurIPS 2019 · Architectures and efficiency › RNNs and normalization · approach: Theory of depth and width · 40 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase activation degreePolynomial networks with fixed architecture · Examples of architectures in the dimensions tablefunctional variety dimension: 5 -> 6; 6 -> 6; 6 -> 6; 6 -> 6Mixed
Use intermediate widths that increase and then decreasePolynomial networks seeking a filling functional variety · Computed minimal filling architecturesfilling functional varietyHelped
Constrain an intermediate width to 2d0 - 2Deep polynomial networks · Asymptotic depth, r >= 2 and d0 >= 2filling functional varietyHurt

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