Path Gradients after Flow Matching

Fuente: arXiv
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Main Authors: Vaitl, Lorenz, Klein, Leon
Format: Preprint
Published: 2025
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author Vaitl, Lorenz
Klein, Leon
author_facet Vaitl, Lorenz
Klein, Leon
contents Boltzmann Generators have emerged as a promising machine learning tool for generating samples from equilibrium distributions of molecular systems using Normalizing Flows and importance weighting. Recently, Flow Matching has helped speed up Continuous Normalizing Flows (CNFs), scale them to more complex molecular systems, and minimize the length of the flow integration trajectories. We investigate the benefits of using path gradients to fine-tune CNFs initially trained by Flow Matching, in the setting where a target energy is known. Our experiments show that this hybrid approach yields up to a threefold increase in sampling efficiency for molecular systems, all while using the same model, a similar computational budget and without the need for additional sampling. Furthermore, by measuring the length of the flow trajectories during fine-tuning, we show that path gradients largely preserve the learned structure of the flow.
format Preprint
id arxiv_https___arxiv_org_abs_2505_10139
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Path Gradients after Flow Matching
Vaitl, Lorenz
Klein, Leon
Machine Learning
Boltzmann Generators have emerged as a promising machine learning tool for generating samples from equilibrium distributions of molecular systems using Normalizing Flows and importance weighting. Recently, Flow Matching has helped speed up Continuous Normalizing Flows (CNFs), scale them to more complex molecular systems, and minimize the length of the flow integration trajectories. We investigate the benefits of using path gradients to fine-tune CNFs initially trained by Flow Matching, in the setting where a target energy is known. Our experiments show that this hybrid approach yields up to a threefold increase in sampling efficiency for molecular systems, all while using the same model, a similar computational budget and without the need for additional sampling. Furthermore, by measuring the length of the flow trajectories during fine-tuning, we show that path gradients largely preserve the learned structure of the flow.
title Path Gradients after Flow Matching
topic Machine Learning
url https://arxiv.org/abs/2505.10139