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Understanding the Limitations of Variational Mutual Information Estimators

ICLR 2020 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Mutual information estimation · 29 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
clip density ratios with SMILE (τ = 1.0) instead of using NWJdiscriminative MI estimation · Gaussian (MI 10)MSE: 28.43 -> 0.31Helped
clip density ratios with SMILE (τ = 1.0) instead of using NWJdiscriminative MI estimation · Cubic (MI 10)MSE: 27.00 -> 4.98Helped
clip density ratios with SMILE (τ = 1.0) instead of using NWJdiscriminative MI estimation · Gaussian (MI 10)variance: 99.0 -> 0.34Helped
clip density ratios with SMILE (τ = 1.0) instead of using NWJdiscriminative MI estimation · Cubic (MI 10)variance: 3.23 -> 0.30Helped
increase τ from 1.0 to 5.0 (ablation)SMILE · Gaussian (MI 10)MSE: 0.31 -> 1.26Hurt
increase τ from 1.0 to 10.0 (ablation)SMILE · Gaussian (MI 10)MSE: 0.31 -> 1.33Hurt
remove finite clipping by setting τ = ∞ (ablation)SMILE · Gaussian (MI 10)MSE: 0.31 -> 1.62Hurt
increase τ from 1.0 to 5.0 (ablation)SMILE · Cubic (MI 10)MSE: 4.98 -> 4.92No clear effect
increase τ from 1.0 to 10.0 (ablation)SMILE · Cubic (MI 10)MSE: 4.98 -> 9.91Hurt
remove finite clipping by setting τ = ∞ (ablation)SMILE · Cubic (MI 10)MSE: 4.98 -> 8.81Hurt
use a generative flow estimator instead of SMILEMI estimation · Gaussian (MI 10)MSE: 0.31 -> 0.22Helped
use a generative flow estimator instead of SMILEMI estimation · Cubic (MI 10)MSE: 4.98 -> 13.67Hurt

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