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Autori principali: Babu, Sudarshan, Lo, Phillip, Zhang, Xiao, Srivastava, Aadi, Davariashtiyani, Ali, Perera, Jason, Maire, Michael, Khan, Aly A.
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2510.18122
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author Babu, Sudarshan
Lo, Phillip
Zhang, Xiao
Srivastava, Aadi
Davariashtiyani, Ali
Perera, Jason
Maire, Michael
Khan, Aly A.
author_facet Babu, Sudarshan
Lo, Phillip
Zhang, Xiao
Srivastava, Aadi
Davariashtiyani, Ali
Perera, Jason
Maire, Michael
Khan, Aly A.
contents We introduce HyperDiffusionFields (HyDiF), a framework that models 3D molecular conformers as continuous fields rather than discrete atomic coordinates or graphs. At the core of our approach is the Molecular Directional Field (MDF), a vector field that maps any point in space to the direction of the nearest atom of a particular type. We represent MDFs using molecule-specific neural implicit fields, which we call Molecular Neural Fields (MNFs). To enable learning across molecules and facilitate generalization, we adopt an approach where a shared hypernetwork, conditioned on a molecule, generates the weights of the given molecule's MNF. To endow the model with generative capabilities, we train the hypernetwork as a denoising diffusion model, enabling sampling in the function space of molecular fields. Our design naturally extends to a masked diffusion mechanism to support structure-conditioned generation tasks, such as molecular inpainting, by selectively noising regions of the field. Beyond generation, the localized and continuous nature of MDFs enables spatially fine-grained feature extraction for molecular property prediction, something not easily achievable with graph or point cloud based methods. Furthermore, we demonstrate that our approach scales to larger biomolecules, illustrating a promising direction for field-based molecular modeling.
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publishDate 2025
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spellingShingle HyperDiffusionFields (HyDiF): Diffusion-Guided Hypernetworks for Learning Implicit Molecular Neural Fields
Babu, Sudarshan
Lo, Phillip
Zhang, Xiao
Srivastava, Aadi
Davariashtiyani, Ali
Perera, Jason
Maire, Michael
Khan, Aly A.
Machine Learning
We introduce HyperDiffusionFields (HyDiF), a framework that models 3D molecular conformers as continuous fields rather than discrete atomic coordinates or graphs. At the core of our approach is the Molecular Directional Field (MDF), a vector field that maps any point in space to the direction of the nearest atom of a particular type. We represent MDFs using molecule-specific neural implicit fields, which we call Molecular Neural Fields (MNFs). To enable learning across molecules and facilitate generalization, we adopt an approach where a shared hypernetwork, conditioned on a molecule, generates the weights of the given molecule's MNF. To endow the model with generative capabilities, we train the hypernetwork as a denoising diffusion model, enabling sampling in the function space of molecular fields. Our design naturally extends to a masked diffusion mechanism to support structure-conditioned generation tasks, such as molecular inpainting, by selectively noising regions of the field. Beyond generation, the localized and continuous nature of MDFs enables spatially fine-grained feature extraction for molecular property prediction, something not easily achievable with graph or point cloud based methods. Furthermore, we demonstrate that our approach scales to larger biomolecules, illustrating a promising direction for field-based molecular modeling.
title HyperDiffusionFields (HyDiF): Diffusion-Guided Hypernetworks for Learning Implicit Molecular Neural Fields
topic Machine Learning
url https://arxiv.org/abs/2510.18122