Hierarchical Variational Policies for Reward-Guided Diffusion

Fuente: arXiv
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Auteurs principaux: Pandey, Kushagra, Sofian, Farrin Marouf, Groeneveld, Jan Niklas, Draxler, Felix, Mandt, Stephan
Format: Preprint
Publié: 2026
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author Pandey, Kushagra
Sofian, Farrin Marouf
Groeneveld, Jan Niklas
Draxler, Felix
Mandt, Stephan
author_facet Pandey, Kushagra
Sofian, Farrin Marouf
Groeneveld, Jan Niklas
Draxler, Felix
Mandt, Stephan
contents Adapting pretrained diffusion models to downstream objectives such as inverse problems often requires expensive test-time guidance or optimization. We propose a principled framework for generating high-quality reward-aligned samples at substantially reduced inference cost. Our approach formulates test-time adaptation as a hierarchical variational model, where control is amortized into a lightweight yet expressive stochastic policy. This formulation naturally supports few-step diffusion sampling: large step sizes enable fast inference, while the learned policy maintains sample quality by providing structured per-step control. The resulting fully amortized sampler achieves a strong quality--speed tradeoff, matching or exceeding recent test-time scaling baselines while requiring significantly less compute. For example, on 4x super-resolution, our method achieves better perceptual quality with more than 5x faster inference compared to the best-performing baseline. We further extend our approach to a semi-amortized regime that combines cheap amortized proposals with limited test-time optimization, achieving state-of-the-art perceptual quality across several challenging inverse problems.
format Preprint
id arxiv_https___arxiv_org_abs_2605_21661
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hierarchical Variational Policies for Reward-Guided Diffusion
Pandey, Kushagra
Sofian, Farrin Marouf
Groeneveld, Jan Niklas
Draxler, Felix
Mandt, Stephan
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
Adapting pretrained diffusion models to downstream objectives such as inverse problems often requires expensive test-time guidance or optimization. We propose a principled framework for generating high-quality reward-aligned samples at substantially reduced inference cost. Our approach formulates test-time adaptation as a hierarchical variational model, where control is amortized into a lightweight yet expressive stochastic policy. This formulation naturally supports few-step diffusion sampling: large step sizes enable fast inference, while the learned policy maintains sample quality by providing structured per-step control. The resulting fully amortized sampler achieves a strong quality--speed tradeoff, matching or exceeding recent test-time scaling baselines while requiring significantly less compute. For example, on 4x super-resolution, our method achieves better perceptual quality with more than 5x faster inference compared to the best-performing baseline. We further extend our approach to a semi-amortized regime that combines cheap amortized proposals with limited test-time optimization, achieving state-of-the-art perceptual quality across several challenging inverse problems.
title Hierarchical Variational Policies for Reward-Guided Diffusion
topic Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2605.21661