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Analyzing and Improving the Optimization Landscape of Noise-Contrastive Estimation

ICLR 2022 · Optimization › Implicit bias and generalization · approach: SGD noise and flat minima · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NGD instead of GD for NCE (ablation)NCE · 1d Gaussian mean estimationparameter distanceHelped
Use NGD instead of GD for NCE (ablation)NCE · 16d Gaussian mean estimationparameter distanceHelped
Replace NCE log loss with the eNCE exponential loss (ablation)NGD · 1d Gaussian mean estimationparameter distanceHelped
Replace NCE log loss with the eNCE exponential loss (ablation)NGD · 16d Gaussian mean estimationparameter distanceHelped
Use NGD instead of GD for NCE (ablation)NCE · MNISTlossHelped
Use NGD instead of GD for eNCE (ablation)eNCE · MNISTlossHelped
Use standard GD with a far-away noise distribution instead of normalized updates (ablation)NCE on 1d Gaussian mean estimation · 1d Gaussian mean estimationconvergence stepsHurt
Use Newton's method with the standard globally safe step size (ablation)NCE on 1d Gaussian mean estimation · 1d Gaussian mean estimationconvergence stepsHurt
Replace the NCE log loss with the eNCE exponential loss (ablation)NCE objective · Exponential-family distributionsHessian condition numberHelped
Use NGD with the eNCE objective rather than standard GD (ablation)eNCE on exponential-family distributions · Exponential-family distributionsconvergence rateHelped

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