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Categorical Reparameterization with Gumbel-Softmax

ICLR 2017 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Gradient estimation for discrete variables · 3,310 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace categorical sampling with Gumbel-Softmax reparameterizationSBN with Bernoulli latent variables · MNIST SBN (Bern.)negative log-likelihood (nats): 58.7 -> 58.5Helped
Replace categorical sampling with Gumbel-Softmax reparameterizationSBN with categorical latent variables · MNIST SBN (Cat.)negative log-likelihood (nats): 61.1 -> 59.0Helped
Replace latent sampling gradients with Gumbel-Softmax reparameterizationVAE with Bernoulli latent variables · MNIST VAE (Bern.)negative variational lower bound (nats): 109.7 -> 105.0Helped
Replace latent sampling gradients with Gumbel-Softmax reparameterizationVAE with categorical latent variables · MNIST VAE (Cat.)negative variational lower bound (nats): 107.0 -> 101.5Helped
Use single-sample Gumbel inference instead of marginalizing over classesSemi-supervised VAE · Binarized MNIST, unlabeled test setaccuracy: 92.6% -> 92.4%No clear effect
Use single-sample Gumbel inference instead of marginalizing over classesSemi-supervised VAE · Binarized MNIST, unlabeled test setELBO: -106.8 -> -109.6Hurt
Use single-sample Gumbel inference instead of marginalizing over classesSemi-supervised VAE · Semi-supervised VAE, 10 classestraining speedup: 2×Helped
Use single-sample Gumbel inference instead of marginalizing over classesSemi-supervised VAE · Semi-supervised VAE, 100 classestraining speedup: 9.9×Helped

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