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Efficient Marginalization of Discrete and Structured Latent Variables via Sparsity

NeurIPS 2020 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Latent variable marginalization and estimators · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace dense softmax marginalization with sparsemax marginalizationEmergent communication model · Emergent communication testcommunication success (%): 93.37 ± 0.42 -> 93.35 ± 0.50No clear effect
Replace dense softmax marginalization with sparsemax marginalizationEmergent communication model · Emergent communication testdecoder calls: 256 -> 3.13 ± 0.48Helped
Use exact marginalization instead of stochastic gradient estimationEmergent communication model · Emergent communication testcommunication success (%): 55.36 ± 2.92 -> 93.35 ± 0.50Helped
Use top-k sparsemax rather than a stochastic estimatorBit-vector VAE · Fashion-MNIST, D=32rate-distortion performanceNo clear effect
Use sparse marginalization rather than an unbiased stochastic estimatorBit-vector VAE · Fashion-MNIST, D=128rate-distortion performanceHelped
Use sparse marginalization rather than SFEBit-vector VAE · Fashion-MNISTestimated negative log-likelihoodHelped
Use Gumbel-Softmax instead of sparse marginalizationSemisupervised VAE · MNISTELBO and accuracyHurt

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