Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
Gaussian Process Modeling of Approximate Inference Errors for Variational Autoencoders
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Model posterior-inference discrepancy with GP noise processes and marginalize the GP posterior | VAE encoder · MNIST | test 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 posterior | VAE encoder · OMNIGLOT | test 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 posterior | VAE encoder · SVHN | test 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 posterior | VAE encoder · CelebA | test 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 updates | VAE · MNIST, dim(z)=50, batch size 128 | inference time (ms/batch): 60.8 -> 9.9 | Helped |
| Increase the number of test-time SVI gradient updates | Semi-amortized VAE · MNIST, dim(z)=50, batch size 128 | inference time (ms/batch): 9.7 -> 60.8 | Hurt |
| Vary the number of SVI gradient steps | Semi-amortized VAE · multiple benchmark datasets | test log-likelihood | Mixed |
| Increase flow count in the IAF or Householder-flow encoder | VAE · multiple benchmark datasets | test log-likelihood | Mixed |
| Increase the number of mixture components in the mixture encoder | VAE · multiple benchmark datasets | test log-likelihood | Hurt |
| Use recursive mixture estimation rather than a blind mixture encoder | VAE · multiple benchmark datasets | test log-likelihood | Mixed |
| Use GP posterior variance as an indicator of posterior approximation difficulty | GPVAE · MNIST, 2D latent space | alignment with true-posterior non-Gaussianity | Helped |
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