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Porcupine Neural Networks: Approximating Neural Network Landscapes

NeurIPS 2018 · Optimization › Implicit bias and generalization · approach: Neural tangent kernel analysis · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
increase number of PNN hidden neurons kPorcupine Neural Network · Synthetic two-layer network data (d=15, k*=20)normalized MSEHelped
increase ratio r/r*Porcupine Neural Network · Spectral norm of psi[K]/psi[KL] when d = rspectral norm (approximation error)Helped
use PNN with k = 512, 1024, 2048 neurons to approximate a trained dense network with 512 neuronsPorcupine Neural Network · MNIST 1s vs 2snormalized lossHelped

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