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GumBolt: Extending Gumbel trick to Boltzmann priors

NeurIPS 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Hierarchical VAEs and posterior collapse · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use GumBolt instead of dVAE++ with k=1 training samplesVAE with BM prior · MNIST, lineartest-set log-likelihood: 90.40 -> 88.88Helped
Use GumBolt instead of dVAE++ with k=1 training samplesVAE with BM prior · OMNIGLOT, nonlineartest-set log-likelihood: 101.97 -> 101.61Helped
Increase training importance samples from k=1 to k=20GumBolt · MNIST, lineartest-set log-likelihood: 88.88 -> 87.45Helped
Increase training importance samples from k=1 to k=20GumBolt · OMNIGLOT, two nonlinear hierarchiestest-set log-likelihood: 99.82 -> 98.81Helped
Add BM coupling weights rather than setting W to zero (ablation)GumBolt · MNIST, lineartest-set log-likelihood: 99.94 -> 87.45Helped
Add BM coupling weights rather than setting W to zero (ablation)GumBolt · OMNIGLOT, nonlineartest-set log-likelihood: 107.221 -> 100.68Helped
Increase decoder network width and depth (ablation)GumBolt-nW · MNISTtest-set log-likelihoodNo clear effect
Use 2 PCD steps instead of the 200-step setup (ablation)GumBolt · MNISTtest-set log-likelihood: 0.35 natsHurt
Use 20 PCD steps instead of the 200-step setup (ablation)GumBolt · MNISTtest-set log-likelihood: 0.12 natsHurt
Vary GumBolt temperature among 1/9, 1/8, and 1/7 (ablation)GumBolt · MNIST and OMNIGLOTtest-set log-likelihoodNo clear effect

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