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Research map / Probabilistic and scientific modeling / Variational and generative sampling

Langevin Autoencoders for Learning Deep Latent Variable Models

NeurIPS 2022 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Stochastic gradient MCMC · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace datapoint-wise Langevin sampling iterations with encoder-parameter Langevin updates (LAE)Deep latent variable models · MNIST testnegative ELBO per data dimension: 1.189 -> 1.177Helped
Replace datapoint-wise Langevin sampling iterations with encoder-parameter Langevin updates (LAE)Deep latent variable models · SVHN testnegative ELBO per data dimension: 4.442 -> 4.412Helped
Replace datapoint-wise Langevin sampling iterations with encoder-parameter Langevin updates (LAE)Deep latent variable models · CIFAR-10 testnegative ELBO per data dimension: 4.820 -> 4.773Helped
Replace datapoint-wise Langevin sampling iterations with encoder-parameter Langevin updates (LAE)Deep latent variable models · CelebA testnegative ELBO per data dimension: 4.671 -> 4.636Helped
Add the Metropolis-Hastings rejection step (ablation)LAE · MNIST testnegative ELBO learning-curve stabilityHelped
Increase the number of ALD iterations to at least 2 (ablation)LAE · MNIST testnegative ELBONo clear effect
Increase encoder final-layer input dimensionality to at least the number of data points (ablation)ALD · Bivariate Gaussian posterior toy exampleposterior sample qualityHelped
Use Gaussian variational inference instead of ALDPosterior inference · Neural likelihood toy exampleposterior approximation qualityHurt
Increase encoder-initialized LD iterations from T=0 to T=10 (ablation)Encoder-initialized LD · MNIST testnegative ELBO per data dimension: 1.189 \pm 0.002 -> 1.188 \pm 0.001No clear effect
Increase encoder-initialized LD iterations from T=0 to T=10 (ablation)Encoder-initialized LD · SVHN testnegative ELBO per data dimension: 4.442 \pm 0.003 -> 4.437 \pm 0.009Helped
Increase encoder-initialized LD iterations from T=0 to T=10 (ablation)Encoder-initialized LD · CIFAR-10 testnegative ELBO per data dimension: 4.820 \pm 0.005 -> 4.832 \pm 0.006Hurt
Increase encoder-initialized LD iterations from T=0 to T=10 (ablation)Encoder-initialized LD · CelebA testnegative ELBO per data dimension: 4.671 \pm 0.001 -> 4.664 \pm 0.004Helped

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