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Sticking the Landing: Simple, Lower-Variance Gradient Estimators for Variational Inference

NeurIPS 2017 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Variational inference theory and gradients · 66 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Remove the score-function gradient termVAE · MNIST, 1 stochastic layer, k=1NLL: 86.76 -> 86.40Helped
Remove the score-function gradient termVAE · MNIST, 1 stochastic layer, k=50NLL: 86.35 -> 86.48Hurt
Remove the score-function gradient termIWAE · MNIST, 1 stochastic layer, k=50NLL: 84.78 -> 84.45Helped
Remove the score-function gradient termVAE · MNIST, 2 stochastic layers, k=1NLL: 85.33 -> 84.77Helped
Remove the score-function gradient termIWAE · MNIST, 2 stochastic layers, k=50NLL: 82.90 -> 83.16Hurt
Remove the score-function gradient termVAE · Omniglot, 1 stochastic layer, k=5NLL: 107.62 -> 107.40Helped
Remove the score-function gradient termIWAE · Omniglot, 1 stochastic layer, k=50NLL: 104.67 -> 104.16Helped
Remove the score-function gradient termVAE · Omniglot, 2 stochastic layers, k=1NLL: 107.58 -> 105.22Helped
Remove the score-function gradient termIWAE · Omniglot, 2 stochastic layersNLL: The paper reports improvements of 2.34, 1.2, and 0.52 nats for k={1, 5, 50}.Helped
Use the path derivative estimator rather than the total derivative estimatorVAE and IWAE · MNIST and Omniglot, reported experimentsNLLMixed

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