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

Adaptive Annealed Importance Sampling with Constant Rate Progress

ICML 2023 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Posterior sampling with diffusion guidance · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a constant-rate, divergence-adaptive annealing schedule instead of a fixed heuristic scheduleAIS · 128D synthetic targetsabsolute log Z estimation error: CR-AIS performs best on Student-T (0.69 ± 0.27); linear, sigmoidal, and exponential schedules perform best on the mixturMixed
Use an interpolated CR-AIS schedule (ablation)CR-AIS · 128D Gaussian mixtureabsolute log Z estimation error: 308.82 ± 6.81 -> 228.54 ± 0.00Helped
Use an interpolated CR-AIS schedule (ablation)CR-AIS · 128D Laplaceabsolute log Z estimation error: 0.68 ± 0.31 -> 0.01 ± 0.00Helped
Use an interpolated CR-AIS schedule (ablation)CR-AIS · 512D Laplaceabsolute log Z estimation error: 8.75 ± 1.84 -> 7.93 ± 0.74Helped
Use an interpolated CR-AIS schedule (ablation)CR-AIS · 512D Student-Tabsolute log Z estimation error: 8.40 ± 1.28 -> 8.98 ± 0.00Hurt
Use CR-AIS instead of non-interpolated Adaptive AISAIS · 128D and 512D synthetic targetscomputation complexity: about 3.5× moreHelped
Use CR-AIS instead of Adaptive AISAIS · Bayesian logistic regression on Pima and Sonartarget density evaluations for similar performance: × 4 fewerHelped
Use a constant-rate schedule in place of ESS-based schedule adaptationSMC · Four wide Gaussian mixture targetsmode coverageHelped
Use the constant-rate schedule with geometric annealingAIS · Inverse KL divergence along the annealing pathinverse KL divergence decrease rateHelped
Use the alpha-power mean path with its derived constant-rate scheduleAIS · Alpha-divergence annealingf-divergence decrease rateHelped

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