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Gaussian Process Modeling of Approximate Inference Errors for Variational Autoencoders

CVPR 2022 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Sparse variational Gaussian processes · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Model posterior-inference discrepancy with GP noise processes and marginalize the GP posteriorVAE encoder · MNISTtest log-likelihood: 696.51.5 vs 699.42.1 (dim(z)=10); 944.32.8 vs 945.01.7 (dim(z)=20); 1212.93.2 vs 1204.34.0 (dim(z)=50)Mixed
Model posterior-inference discrepancy with GP noise processes and marginalize the GP posteriorVAE encoder · OMNIGLOTtest log-likelihood: 354.81.5 vs 351.11.7 (dim(z)=10); 516.32.1 vs 509.11.4 (dim(z)=20); 821.84.4 vs 732.03.1 (dim(z)=50)Helped
Model posterior-inference discrepancy with GP noise processes and marginalize the GP posteriorVAE encoder · SVHNtest log-likelihood: 3417.611.8 vs 3392.012.6 (dim(z)=10); 4133.213.3 vs 4086.910.9 (dim(z)=20); 5410.019.5 vs 5405.110.4 (dim(z)=50)Helped
Model posterior-inference discrepancy with GP noise processes and marginalize the GP posteriorVAE encoder · CelebAtest log-likelihood: 9843.423.8 vs 9849.512.1 (dim(z)=10); 12184.022.7 vs 12194.211.5 (dim(z)=20); 15370.927.6 vs 15366.212.7 (dim(z)=50)Mixed
Use GP posterior-marginalized encoder instead of test-time SVI gradient updatesVAE · MNIST, dim(z)=50, batch size 128inference time (ms/batch): 60.8 -> 9.9Helped
Increase the number of test-time SVI gradient updatesSemi-amortized VAE · MNIST, dim(z)=50, batch size 128inference time (ms/batch): 9.7 -> 60.8Hurt
Vary the number of SVI gradient stepsSemi-amortized VAE · multiple benchmark datasetstest log-likelihoodMixed
Increase flow count in the IAF or Householder-flow encoderVAE · multiple benchmark datasetstest log-likelihoodMixed
Increase the number of mixture components in the mixture encoderVAE · multiple benchmark datasetstest log-likelihoodHurt
Use recursive mixture estimation rather than a blind mixture encoderVAE · multiple benchmark datasetstest log-likelihoodMixed
Use GP posterior variance as an indicator of posterior approximation difficultyGPVAE · MNIST, 2D latent spacealignment with true-posterior non-GaussianityHelped

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