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Mutual Information Neural Estimation

ICML 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Mutual information estimation · 574 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Maximize mutual information between generated samples and latent code (MINE regularizer added to GAN objective)GAN · Stacked MNISTModes captured (max 1000)Helped
Maximize mutual information between generated samples and latent codeGAN · Stacked MNISTKL divergenceHelped
Maximize mutual information between x and z in ALIALI · MNISTReconstruction error: 14.24 -> 9.73Helped
Maximize mutual information between x and z in ALIALI · CelebAReconstruction accuracy (%): 57.49 -> 76.08Helped
Maximize mutual information between x and z in ALIALI · CelebAReconstruction error: 53.75 -> 36.11Helped
Use MINE as the regularizer for the information bottleneck with additive-noise encoderInformation bottleneck classifier on permutation-invariant MNIST · Permutation-invariant MNISTMisclassification rate (%): 1.38 baseline -> 1.01Helped
Replace DVB variational bound with MINE estimator (Gaussian encoder) (ablation)Information bottleneck on permutation-invariant MNIST · Permutation-invariant MNISTMisclassification rate (%): 1.13 (DVB) -> 1.11Helped
Use MINE-based estimator with noise in encoder input (additive vs Gaussian encoder) (ablation)Information bottleneck on permutation-invariant MNIST · Permutation-invariant MNISTMisclassification rate (%)Mixed
Use Donsker-Varadhan bound (MINE) instead of f-divergence bound (MINE-f) (ablation)Mutual information estimation between Gaussians · Multivariate Gaussian, 20 dimensionsEstimate tightness vs ground truthHelped
Use MINE instead of k-NN estimator (Kraskov)Mutual information estimation between Gaussians · Multivariate Gaussian, 20 dimensionsEstimate accuracy vs ground truthHelped
Use of bias-corrected gradient (moving average in denominator) in MINE (ablation)MINE training · Mutual information estimationOverall performanceHelped

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