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Annealed Flow Transport Monte Carlo

ICML 2021 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Importance sampling and quadrature · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add learned normalizing flow transport (AFT) to SMC samplers, using a diagonal affine flow on VAE latent spaceAFT vs SMC · VAE latent space (binarized MNIST, difficult digit)variance of normalizing constant estimateHelped
Add learned flow (AFT) to SMC on log Gaussian Cox process with diagonal affine flowAFT vs SMC · Log Gaussian Cox process (d=1600)accuracy of normalizing constant estimate for given number of transitionsHelped
Use mean-field (per-dimension) flow family AFTmf instead of SMC on 2-D target (ablation)AFTmf vs SMC · 2-D illustrative targetvariance of normalizing constant estimator for small numbers of transitionsHurt
Add learned flow with inverse autoregressive dependence (AFT) to SMC on 2-D target (ablation)AFT vs SMC · 2-D illustrative targetvariance of normalizing constant estimatorHelped
Use learned flow on funnel distributionAFT vs SMC · Neal's funnel (10-d)normalizing constant estimate performance for small number of flows/transitionsNo clear effect
Use VI proposal instead of learned flow on funnel for small flow countsVI vs AFT · Neal's funnel (10-d)normalizing constant estimate performanceHelped

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