Active Flow Matching

Fuente: arXiv
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Autores principales: Grewal, Yashvir S., Steinberg, Daniel M., Bui, Thang D., Ong, Cheng Soon, Bonilla, Edwin V.
Formato: Preprint
Publicado: 2026
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author Grewal, Yashvir S.
Steinberg, Daniel M.
Bui, Thang D.
Ong, Cheng Soon
Bonilla, Edwin V.
author_facet Grewal, Yashvir S.
Steinberg, Daniel M.
Bui, Thang D.
Ong, Cheng Soon
Bonilla, Edwin V.
contents Discrete diffusion and flow matching models capture complex, non-additive and non-autoregressive structure in high-dimensional objective landscapes through parallel, iterative refinement. However, their implicit generative nature precludes direct integration with principled variational frameworks for online black-box optimisation, such as variational search distributions (VSD) and conditioning by adaptive sampling (CbAS). We introduce Active Flow Matching (AFM), which reformulates variational objectives to operate on conditional endpoint distributions along the flow, enabling gradient-based steering of flow models toward high-fitness regions while preserving the rigour of VSD and CbAS. We derive forward and reverse Kullback-Leibler (KL) variants using self-normalised importance sampling. Across a suite of online protein and small molecule design tasks, forward-KL AFM consistently performs competitively compared to state-of-the-art baselines, demonstrating effective exploration-exploitation under tight experimental budgets.
format Preprint
id arxiv_https___arxiv_org_abs_2603_00877
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Active Flow Matching
Grewal, Yashvir S.
Steinberg, Daniel M.
Bui, Thang D.
Ong, Cheng Soon
Bonilla, Edwin V.
Machine Learning
Discrete diffusion and flow matching models capture complex, non-additive and non-autoregressive structure in high-dimensional objective landscapes through parallel, iterative refinement. However, their implicit generative nature precludes direct integration with principled variational frameworks for online black-box optimisation, such as variational search distributions (VSD) and conditioning by adaptive sampling (CbAS). We introduce Active Flow Matching (AFM), which reformulates variational objectives to operate on conditional endpoint distributions along the flow, enabling gradient-based steering of flow models toward high-fitness regions while preserving the rigour of VSD and CbAS. We derive forward and reverse Kullback-Leibler (KL) variants using self-normalised importance sampling. Across a suite of online protein and small molecule design tasks, forward-KL AFM consistently performs competitively compared to state-of-the-art baselines, demonstrating effective exploration-exploitation under tight experimental budgets.
title Active Flow Matching
topic Machine Learning
url https://arxiv.org/abs/2603.00877