Scalable Non-Equivariant 3D Molecule Generation via Rotational Alignment

Fuente: arXiv
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Autori principali: Ding, Yuhui, Hofmann, Thomas
Natura: Preprint
Pubblicazione: 2025
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author Ding, Yuhui
Hofmann, Thomas
author_facet Ding, Yuhui
Hofmann, Thomas
contents Equivariant diffusion models have achieved impressive performance in 3D molecule generation. These models incorporate Euclidean symmetries of 3D molecules by utilizing an SE(3)-equivariant denoising network. However, specialized equivariant architectures limit the scalability and efficiency of diffusion models. In this paper, we propose an approach that relaxes such equivariance constraints. Specifically, our approach learns a sample-dependent SO(3) transformation for each molecule to construct an aligned latent space. A non-equivariant diffusion model is then trained over the aligned representations. Experimental results demonstrate that our approach performs significantly better than previously reported non-equivariant models. It yields sample quality comparable to state-of-the-art equivariant diffusion models and offers improved training and sampling efficiency. Our code is available at https://github.com/skeletondyh/RADM
format Preprint
id arxiv_https___arxiv_org_abs_2506_10186
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scalable Non-Equivariant 3D Molecule Generation via Rotational Alignment
Ding, Yuhui
Hofmann, Thomas
Machine Learning
Artificial Intelligence
Quantitative Methods
Equivariant diffusion models have achieved impressive performance in 3D molecule generation. These models incorporate Euclidean symmetries of 3D molecules by utilizing an SE(3)-equivariant denoising network. However, specialized equivariant architectures limit the scalability and efficiency of diffusion models. In this paper, we propose an approach that relaxes such equivariance constraints. Specifically, our approach learns a sample-dependent SO(3) transformation for each molecule to construct an aligned latent space. A non-equivariant diffusion model is then trained over the aligned representations. Experimental results demonstrate that our approach performs significantly better than previously reported non-equivariant models. It yields sample quality comparable to state-of-the-art equivariant diffusion models and offers improved training and sampling efficiency. Our code is available at https://github.com/skeletondyh/RADM
title Scalable Non-Equivariant 3D Molecule Generation via Rotational Alignment
topic Machine Learning
Artificial Intelligence
Quantitative Methods
url https://arxiv.org/abs/2506.10186