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Research map / Optimization / Implicit bias and generalization

Inverting Deep Generative models, One layer at a time

NeurIPS 2019 · Optimization › Implicit bias and generalization · approach: Shallow ReLU network convergence · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use layer-wise ℓ∞ LP inversion instead of gradient descentReLU generator inversion · Random networks, noiseless; varying latent dimension krecovery success rateHelped
Use layer-wise LP inversion instead of gradient descentMNIST generator inversion · MNISTCPU time: 72 -> 0.5Helped
Use ℓ∞ LP rather than gradient descentReLU generator inversion · Synthetic data with uniformly bounded noiserelative recovery errorHelped
Use ℓ∞ LP rather than ℓ1 LP or gradient descentReLU generator inversion · Synthetic data with large-variance observation noiserelative recovery errorHurt
Use ℓ∞ LP, ℓ1 LP, or LP relaxation (ablation)ReLU generator inversion · Synthetic noisy inversionrelative recovery errorNo clear effect
Relax strict ReLU-configuration constraints with LP relaxation (ablation)ℓ1 LP-style inversion · Synthetic noisy inversionrelative recovery errorNo clear effect
Use layer-wise LP inversion rather than gradient descentMNIST generator inversion · MNIST noisy reconstructionreconstruction qualityHelped
Use layer-wise LP inversion rather than gradient descentMNIST generator inversion · MNIST noisy and masked observationsrecovery qualityHelped
Use ℓ1 LP rather than ℓ∞ LPReLU generator inversion · Synthetic data with large-variance observation noiserelative recovery errorHelped

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