Improved techniques for fine-tuning flow models via adjoint matching: a deterministic control pipeline

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Main Authors: Guo, Zhengyi, Sheng, Jiayuan, Yao, David D., Tang, Wenpin
Format: Preprint
Published: 2026
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author Guo, Zhengyi
Sheng, Jiayuan
Yao, David D.
Tang, Wenpin
author_facet Guo, Zhengyi
Sheng, Jiayuan
Yao, David D.
Tang, Wenpin
contents We propose a deterministic adjoint matching framework that formulates human preference alignment for flow-based generative models as an optimal control problem over velocity fields. One can directly regress the control toward a value-gradient-induced target under the current policy, leading to a simple and stable training objective. Building on this perspective, we introduce a truncated adjoint scheme that focuses computation on the terminal portion of the trajectory, where reward-relevant signals concentrate, which yields substantial computational savings while preserving alignment quality. We further generalize the framework beyond standard KL-based regularization, allowing more flexible trade-offs between alignment strength and distributional preservation. Experiments on SiT-XL/2 and FLUX.2-Klein-4B demonstrate consistent gains across multiple alignment metrics, along with substantially improved diversity and mode preservation.
format Preprint
id arxiv_https___arxiv_org_abs_2605_06583
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Improved techniques for fine-tuning flow models via adjoint matching: a deterministic control pipeline
Guo, Zhengyi
Sheng, Jiayuan
Yao, David D.
Tang, Wenpin
Artificial Intelligence
We propose a deterministic adjoint matching framework that formulates human preference alignment for flow-based generative models as an optimal control problem over velocity fields. One can directly regress the control toward a value-gradient-induced target under the current policy, leading to a simple and stable training objective. Building on this perspective, we introduce a truncated adjoint scheme that focuses computation on the terminal portion of the trajectory, where reward-relevant signals concentrate, which yields substantial computational savings while preserving alignment quality. We further generalize the framework beyond standard KL-based regularization, allowing more flexible trade-offs between alignment strength and distributional preservation. Experiments on SiT-XL/2 and FLUX.2-Klein-4B demonstrate consistent gains across multiple alignment metrics, along with substantially improved diversity and mode preservation.
title Improved techniques for fine-tuning flow models via adjoint matching: a deterministic control pipeline
topic Artificial Intelligence
url https://arxiv.org/abs/2605.06583