Stepwise Credit Assignment for GRPO on Flow-Matching Models

Fuente: arXiv
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Autores principales: Savani, Yash, Kveton, Branislav, Liu, Yuchen, Wang, Yilin, Shi, Jing, Mukherjee, Subhojyoti, Vlassis, Nikos, Singh, Krishna Kumar
Formato: Preprint
Publicado: 2026
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author Savani, Yash
Kveton, Branislav
Liu, Yuchen
Wang, Yilin
Shi, Jing
Mukherjee, Subhojyoti
Vlassis, Nikos
Singh, Krishna Kumar
author_facet Savani, Yash
Kveton, Branislav
Liu, Yuchen
Wang, Yilin
Shi, Jing
Mukherjee, Subhojyoti
Vlassis, Nikos
Singh, Krishna Kumar
contents Flow-GRPO successfully applies reinforcement learning to flow models, but uses uniform credit assignment across all steps. This ignores the temporal structure of diffusion generation: early steps determine composition and content (low-frequency structure), while late steps resolve details and textures (high-frequency details). Moreover, assigning uniform credit based solely on the final image can inadvertently reward suboptimal intermediate steps, especially when errors are corrected later in the diffusion trajectory. We propose Stepwise-Flow-GRPO, which assigns credit based on each step's reward improvement. By leveraging Tweedie's formula to obtain intermediate reward estimates and introducing gain-based advantages, our method achieves superior sample efficiency and faster convergence. We also introduce a DDIM-inspired SDE that improves reward quality while preserving stochasticity for policy gradients.
format Preprint
id arxiv_https___arxiv_org_abs_2603_28718
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stepwise Credit Assignment for GRPO on Flow-Matching Models
Savani, Yash
Kveton, Branislav
Liu, Yuchen
Wang, Yilin
Shi, Jing
Mukherjee, Subhojyoti
Vlassis, Nikos
Singh, Krishna Kumar
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
Flow-GRPO successfully applies reinforcement learning to flow models, but uses uniform credit assignment across all steps. This ignores the temporal structure of diffusion generation: early steps determine composition and content (low-frequency structure), while late steps resolve details and textures (high-frequency details). Moreover, assigning uniform credit based solely on the final image can inadvertently reward suboptimal intermediate steps, especially when errors are corrected later in the diffusion trajectory. We propose Stepwise-Flow-GRPO, which assigns credit based on each step's reward improvement. By leveraging Tweedie's formula to obtain intermediate reward estimates and introducing gain-based advantages, our method achieves superior sample efficiency and faster convergence. We also introduce a DDIM-inspired SDE that improves reward quality while preserving stochasticity for policy gradients.
title Stepwise Credit Assignment for GRPO on Flow-Matching Models
topic Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2603.28718