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ARMS: Antithetic-REINFORCE-Multi-Sample Gradient for Binary Variables

ICML 2021 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Gradient estimation for discrete variables · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use jointly antithetic multi-sample gradients (ARMS) instead of DisARMDiscrete VAE optimizing the ELBO · Dynamic MNIST, Fashion MNIST, and Omniglottraining ELBO: -100.45 -> -98.00Helped
Use jointly antithetic multi-sample gradients (ARMS) instead of LOORFDiscrete VAE optimizing the ELBO · Dynamic MNIST, Fashion MNIST, and Omniglottraining ELBO: -112.32 -> -112.13Helped
Use ARMS for the multi-sample bound instead of DisARMDiscrete VAE optimizing the multi-sample bound · Dynamic MNIST, Fashion MNIST, and Omniglottraining multi-sample bound: -100.45 -> -98.00Helped
Use ARMS for the multi-sample bound instead of VIMCODiscrete VAE optimizing the multi-sample bound · Dynamic MNIST, Fashion MNIST, and Omniglottraining multi-sample bound: -98.07 -> -98.00Helped
Use a Dirichlet copula rather than a Gaussian copula (ablation)ARMS for discrete VAE training · Dynamic MNIST, Fashion MNIST, and Omniglottraining ELBO: -112.13 ± 0.10 vs -111.96 ± 0.09No clear effect
Use negatively correlated multi-sample copula draws rather than independent samplesARMS versus LOORF on the toy binary-gradient problem · Toy problem across the tested values of σ(φ)gradient varianceHelped
Increase the number of samples used by pair-based antithetic estimatorsDisARM and ARM · Toy binary-gradient problemgradient varianceMixed

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