Discrete Flow Matching Policy Optimization

Fuente: arXiv
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Auteurs principaux: Su, Maojiang, Hsieh, Po-Chung, Wu, Weimin, Lu, Mingcheng, Chen, Jiunhau, Hu, Jerry Yao-Chieh, Liu, Han
Format: Preprint
Publié: 2026
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author Su, Maojiang
Hsieh, Po-Chung
Wu, Weimin
Lu, Mingcheng
Chen, Jiunhau
Hu, Jerry Yao-Chieh
Liu, Han
author_facet Su, Maojiang
Hsieh, Po-Chung
Wu, Weimin
Lu, Mingcheng
Chen, Jiunhau
Hu, Jerry Yao-Chieh
Liu, Han
contents We introduce Discrete flow Matching policy Optimization (DoMinO), a unified framework for Reinforcement Learning (RL) fine-tuning Discrete Flow Matching (DFM) models under a broad class of policy gradient methods. Our key idea is to view the DFM sampling procedure as a multi-step Markov Decision Process. This perspective provides a simple and transparent reformulation of fine-tuning reward maximization as a robust RL objective. Consequently, it not only preserves the original DFM samplers but also avoids biased auxiliary estimators and likelihood surrogates used by many prior RL fine-tuning methods. To prevent policy collapse, we also introduce new total-variation regularizers to keep the fine-tuned distribution close to the pretrained one. Theoretically, we establish an upper bound on the discretization error of DoMinO and tractable upper bounds for the regularizers. Experimentally, we evaluate DoMinO on regulatory DNA sequence design. DoMinO achieves stronger predicted enhancer activity and better sequence naturalness than the previous best reward-driven baselines. The regularization further improves alignment with the natural sequence distribution while preserving strong functional performance. These results establish DoMinO as an useful framework for controllable discrete sequence generation.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06491
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Discrete Flow Matching Policy Optimization
Su, Maojiang
Hsieh, Po-Chung
Wu, Weimin
Lu, Mingcheng
Chen, Jiunhau
Hu, Jerry Yao-Chieh
Liu, Han
Machine Learning
Artificial Intelligence
Computational Engineering, Finance, and Science
We introduce Discrete flow Matching policy Optimization (DoMinO), a unified framework for Reinforcement Learning (RL) fine-tuning Discrete Flow Matching (DFM) models under a broad class of policy gradient methods. Our key idea is to view the DFM sampling procedure as a multi-step Markov Decision Process. This perspective provides a simple and transparent reformulation of fine-tuning reward maximization as a robust RL objective. Consequently, it not only preserves the original DFM samplers but also avoids biased auxiliary estimators and likelihood surrogates used by many prior RL fine-tuning methods. To prevent policy collapse, we also introduce new total-variation regularizers to keep the fine-tuned distribution close to the pretrained one. Theoretically, we establish an upper bound on the discretization error of DoMinO and tractable upper bounds for the regularizers. Experimentally, we evaluate DoMinO on regulatory DNA sequence design. DoMinO achieves stronger predicted enhancer activity and better sequence naturalness than the previous best reward-driven baselines. The regularization further improves alignment with the natural sequence distribution while preserving strong functional performance. These results establish DoMinO as an useful framework for controllable discrete sequence generation.
title Discrete Flow Matching Policy Optimization
topic Machine Learning
Artificial Intelligence
Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2604.06491