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DisARM: An Antithetic Gradient Estimator for Binary Latent Variables

NeurIPS 2020 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Gradient estimation for discrete variables · 13 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Integrate out the Logistic augmentation randomness with antithetic conditioningARM · Bernoulli latent-variable gradient estimationGradient-estimator varianceHelped
Use DisARM instead of ARMBernoulli VAE, linear models · Dynamic MNIST, Fashion MNIST, OmniglotTrain ELBO: -117.66 ± 0.04 -> -116.30 ± 0.08; -256.80 ± 0.16 -> -255.97 ± 0.07; -122.45 ± 0.10 -> -121.15 ± 0.12Helped
Use DisARM instead of REINFORCE LOOBernoulli VAE, linear models · Dynamic MNIST, Fashion MNIST, OmniglotTrain ELBO: -116.57 ± 0.15 -> -116.30 ± 0.08; -256.33 ± 0.14 -> -255.97 ± 0.07; -121.66 ± 0.10 -> -121.15 ± 0.12Helped
Use DisARM instead of RELAXBernoulli VAE, linear models · Dynamic MNIST, Fashion MNIST, OmniglotTrain ELBO: -115.93 ± 0.15 -> -116.30 ± 0.08; -255.83 ± 0.03 -> -255.97 ± 0.07; -120.79 ± 0.09 -> -121.15 ± 0.12Mixed
Use DisARM instead of ARMBernoulli VAE, nonlinear models · Dynamic MNIST, Fashion MNIST, OmniglotTrain ELBO: -107.32 ± 0.28 -> -102.56 ± 0.19; -241.30 ± 0.10 -> -237.77 ± 0.08; -118.76 ± 0.05 -> -115.08 ± 0.11Helped
Use DisARM instead of REINFORCE LOOBernoulli VAE, nonlinear models · Dynamic MNIST, Fashion MNIST, OmniglotTrain ELBO: -102.45 ± 0.12 -> -102.56 ± 0.19; -237.66 ± 0.11 -> -237.77 ± 0.08; -115.26 ± 0.15 -> -115.08 ± 0.11Mixed
Use DisARM instead of RELAXBernoulli VAE, nonlinear models · Bernoulli VAE across three datasetsTrain ELBO: -102.53 ± 0.15 -> -102.56 ± 0.19; -238.23 ± 0.17 -> -237.77 ± 0.08; -116.56 ± 0.15 -> -115.08 ± 0.11Mixed
Use DisARM instead of VIMCO at matched computationLinear Bernoulli VAE · Dynamic MNIST, train multi-sample boundMulti-sample bound: -115.80 ± 0.08 -> -114.06 ± 0.13; -109.40 ± 0.07 -> -108.61 ± 0.08Helped
Use DisARM instead of VIMCONonlinear Bernoulli VAE · Fashion MNIST, train multi-sample boundMulti-sample bound: -236.41 ± 0.10 -> -236.91 ± 0.10Hurt
Use DisARM instead of VIMCO at matched computationLinear Bernoulli VAE · Omniglot, train multi-sample boundMulti-sample bound: -117.68 ± 0.07 -> -116.70 ± 0.03Helped
Use DisARM instead of VIMCOBernoulli VAE · Multi-sample variational bounds across datasets and settingsMulti-sample boundMixed
Use DisARM instead of RELAXBernoulli VAE · Hierarchical models across datasetsTrain ELBOMixed

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