Demystifying Multimodal Biomolecular Co-design With Intrinsic Geodesic Coupling

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Hauptverfasser: Qiu, Keyue, Wang, Xintong, Zhang, Zhilong, Zhou, Hao, Ma, Wei-Ying
Format: Preprint
Veröffentlicht: 2026
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author Qiu, Keyue
Wang, Xintong
Zhang, Zhilong
Zhou, Hao
Ma, Wei-Ying
author_facet Qiu, Keyue
Wang, Xintong
Zhang, Zhilong
Zhou, Hao
Ma, Wei-Ying
contents Biomolecules such as proteins and small-molecule ligands play a central role in biological systems, arising from the tight interplay between sequence and three-dimensional structure. Recent generative models for biomolecular co-design aim to capture this interplay by jointly modeling coupled modalities. However, existing approaches largely adopt a parallel execution of marginal generative processes, implicitly enforcing fixed synchronous coupling. We argue that a critical but overlooked degree of freedom lies in how these marginal processes are temporally coupled during training and generation, where inappropriate coupling can introduce high-variance supervision and inconsistent intermediate states, affecting modality consistency. To address this, we introduce GeoCoupling, a systematic framework that optimizes for temporal couplings between heterogeneous modalities. Empirical results across structure-based drug design and unconditional protein design demonstrate the learned couplings consistently outperform synchronous and randomly coupled baselines, yielding biomolecules with improved physical validity and diversity.
format Preprint
id arxiv_https___arxiv_org_abs_2606_01628
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Demystifying Multimodal Biomolecular Co-design With Intrinsic Geodesic Coupling
Qiu, Keyue
Wang, Xintong
Zhang, Zhilong
Zhou, Hao
Ma, Wei-Ying
Biomolecules
Artificial Intelligence
Biomolecules such as proteins and small-molecule ligands play a central role in biological systems, arising from the tight interplay between sequence and three-dimensional structure. Recent generative models for biomolecular co-design aim to capture this interplay by jointly modeling coupled modalities. However, existing approaches largely adopt a parallel execution of marginal generative processes, implicitly enforcing fixed synchronous coupling. We argue that a critical but overlooked degree of freedom lies in how these marginal processes are temporally coupled during training and generation, where inappropriate coupling can introduce high-variance supervision and inconsistent intermediate states, affecting modality consistency. To address this, we introduce GeoCoupling, a systematic framework that optimizes for temporal couplings between heterogeneous modalities. Empirical results across structure-based drug design and unconditional protein design demonstrate the learned couplings consistently outperform synchronous and randomly coupled baselines, yielding biomolecules with improved physical validity and diversity.
title Demystifying Multimodal Biomolecular Co-design With Intrinsic Geodesic Coupling
topic Biomolecules
Artificial Intelligence
url https://arxiv.org/abs/2606.01628