Do we need equivariant models for molecule generation?

Fuente: arXiv
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Main Authors: Nowara, Ewa M., Rackers, Joshua, Suriana, Patricia, Kessel, Pan, Shen, Max, Watkins, Andrew Martin, Maser, Michael
Format: Preprint
Published: 2025
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author Nowara, Ewa M.
Rackers, Joshua
Suriana, Patricia
Kessel, Pan
Shen, Max
Watkins, Andrew Martin
Maser, Michael
author_facet Nowara, Ewa M.
Rackers, Joshua
Suriana, Patricia
Kessel, Pan
Shen, Max
Watkins, Andrew Martin
Maser, Michael
contents Deep generative models are increasingly used for molecular discovery, with most recent approaches relying on equivariant graph neural networks (GNNs) under the assumption that explicit equivariance is essential for generating high-quality 3D molecules. However, these models are complex, difficult to train, and scale poorly. We investigate whether non-equivariant convolutional neural networks (CNNs) trained with rotation augmentations can learn equivariance and match the performance of equivariant models. We derive a loss decomposition that separates prediction error from equivariance error, and evaluate how model size, dataset size, and training duration affect performance across denoising, molecule generation, and property prediction. To our knowledge, this is the first study to analyze learned equivariance in generative tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2507_09753
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Do we need equivariant models for molecule generation?
Nowara, Ewa M.
Rackers, Joshua
Suriana, Patricia
Kessel, Pan
Shen, Max
Watkins, Andrew Martin
Maser, Michael
Machine Learning
Quantitative Methods
Deep generative models are increasingly used for molecular discovery, with most recent approaches relying on equivariant graph neural networks (GNNs) under the assumption that explicit equivariance is essential for generating high-quality 3D molecules. However, these models are complex, difficult to train, and scale poorly. We investigate whether non-equivariant convolutional neural networks (CNNs) trained with rotation augmentations can learn equivariance and match the performance of equivariant models. We derive a loss decomposition that separates prediction error from equivariance error, and evaluate how model size, dataset size, and training duration affect performance across denoising, molecule generation, and property prediction. To our knowledge, this is the first study to analyze learned equivariance in generative tasks.
title Do we need equivariant models for molecule generation?
topic Machine Learning
Quantitative Methods
url https://arxiv.org/abs/2507.09753