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Statistical Efficiency of Score Matching: The View from Isoperimetry

ICLR 2023 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Score-based generative modeling analysis · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add a sufficient statistic encoding the sparse cut between modesScore matching in the bimodal exponential-family experiment · Bimodal distributionfit quality relative to MLEHurt
Remove the sufficient statistic correlated with the sparse cut (ablation)Score matching in the bimodal exponential-family experiment · Bimodal distributionfit quality relative to MLEHelped
Increase the oscillation frequency of the sufficient statisticScore matching · Unimodal distribution with rapidly oscillating sufficient statisticparameter-estimation accuracy relative to MLEHurt
Increase the separation between Gaussian mixture modesScore matching with a one-hidden-layer tanh network · Mixture of two Gaussiansdistribution fit qualityHurt

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