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Main Authors: Zhao, Wanjia, Han, Jiaqi, Gu, Siyi, Jiang, Mingjian, Zou, James, Ermon, Stefano
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.02085
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author Zhao, Wanjia
Han, Jiaqi
Gu, Siyi
Jiang, Mingjian
Zou, James
Ermon, Stefano
author_facet Zhao, Wanjia
Han, Jiaqi
Gu, Siyi
Jiang, Mingjian
Zou, James
Ermon, Stefano
contents Geometric diffusion models have shown remarkable success in molecular dynamics and structure generation. However, efficiently fine-tuning them for downstream tasks with varying geometric controls remains underexplored. In this work, we propose an SE(3)-equivariant adapter framework ( GeoAda) that enables flexible and parameter-efficient fine-tuning for controlled generative tasks without modifying the original model architecture. GeoAda introduces a structured adapter design: control signals are first encoded through coupling operators, then processed by a trainable copy of selected pretrained model layers, and finally projected back via decoupling operators followed by an equivariant zero-initialized convolution. By fine-tuning only these lightweight adapter modules, GeoAda preserves the model's geometric consistency while mitigating overfitting and catastrophic forgetting. We theoretically prove that the proposed adapters maintain SE(3)-equivariance, ensuring that the geometric inductive biases of the pretrained diffusion model remain intact during adaptation. We demonstrate the wide applicability of GeoAda across diverse geometric control types, including frame control, global control, subgraph control, and a broad range of application domains such as particle dynamics, molecular dynamics, human motion prediction, and molecule generation. Empirical results show that GeoAda achieves state-of-the-art fine-tuning performance while preserving original task accuracy, whereas other baselines experience significant performance degradation due to overfitting and catastrophic forgetting.
format Preprint
id arxiv_https___arxiv_org_abs_2507_02085
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle GeoAda: Efficiently Finetune Geometric Diffusion Models with Equivariant Adapters
Zhao, Wanjia
Han, Jiaqi
Gu, Siyi
Jiang, Mingjian
Zou, James
Ermon, Stefano
Machine Learning
Artificial Intelligence
Geometric diffusion models have shown remarkable success in molecular dynamics and structure generation. However, efficiently fine-tuning them for downstream tasks with varying geometric controls remains underexplored. In this work, we propose an SE(3)-equivariant adapter framework ( GeoAda) that enables flexible and parameter-efficient fine-tuning for controlled generative tasks without modifying the original model architecture. GeoAda introduces a structured adapter design: control signals are first encoded through coupling operators, then processed by a trainable copy of selected pretrained model layers, and finally projected back via decoupling operators followed by an equivariant zero-initialized convolution. By fine-tuning only these lightweight adapter modules, GeoAda preserves the model's geometric consistency while mitigating overfitting and catastrophic forgetting. We theoretically prove that the proposed adapters maintain SE(3)-equivariance, ensuring that the geometric inductive biases of the pretrained diffusion model remain intact during adaptation. We demonstrate the wide applicability of GeoAda across diverse geometric control types, including frame control, global control, subgraph control, and a broad range of application domains such as particle dynamics, molecular dynamics, human motion prediction, and molecule generation. Empirical results show that GeoAda achieves state-of-the-art fine-tuning performance while preserving original task accuracy, whereas other baselines experience significant performance degradation due to overfitting and catastrophic forgetting.
title GeoAda: Efficiently Finetune Geometric Diffusion Models with Equivariant Adapters
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2507.02085