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

Ladder Variational Autoencoders

NeurIPS 2016 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Structured latent VAEs · 246 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace bottom-up VAE inference with ladder (top-down precision-weighted) inference, same generative model5-layer latent hierarchy · MNIST testlog-likelihood: best VAE −82.74 vs LVAE −82.12 at 5000 ISHelped
add batch-normalization to VAE models (ablation)VAE · MNIST testlog-likelihood: Figure 3 comparison; BN improved all modelsHelped
add deterministic warm-up (linearly increasing KL weight over 200 epochs) (ablation)VAE with BN · OMNIGLOT testlog-likelihood: e.g. 64-32-16 VAE+BN −106.09 to +WU −102.52Helped
add deterministic warm-up to VAE without BNplain VAE · OMNIGLOT testlog-likelihood: plain VAE 64-32-16-8-4 −110.46 vs VAE +BN −105.45 (warm-up not isolated)No clear effect
ladder inference on 5-layer model vs 2-layer VAE with normalizing flows / VGPMNIST · MNIST test (1 IS)log-likelihood: LVAE −82.12 vs VGP −81.90 and IWAE IW=50 −82.90Mixed
ladder inference on NORB Gaussian observation modelNORB · NORB testlog-likelihood: LVAE 3455 vs VAE+BN+WU 3422 (5 layers)Helped
increasing stochastic depth beyond three layers with ladder inference on NORBLVAE on NORB · NORB testlog-likelihood: 64-32-16 3519 vs 64-32-16-8-4 3455No clear effect
ladder inference with 5 layers vs more latent variables in IWAEOMNIGLOT · OMNIGLOT testlog-likelihood: −102.11 vs IWAE best −103.38 (with more latents)Helped
increase depth from 1 to 5 stochastic layers in LVAE (ablation)LVAE on MNIST · MNIST test (1 IS)log-likelihood: LVAE reaches −85.23 with five layers; best VAE −87.49 at three layersHelped

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