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Deep generative models and neural operators have demonstrated significant potential for 3D aerodynamic inference. However, they often face inherent challenges in maintaining physical consistency and preserving high-frequency features,…

Numerical Analysis · Mathematics 2026-04-28 Ruiling Jiang , Yong Zhang , Houbiao Li

Sampling useful three-dimensional molecular structures along with their most favorable conformations is a key challenge in drug discovery. Current state-of-the-art 3D de-novo design flow matching or diffusion-based models are limited to…

Machine Learning · Computer Science 2025-11-24 Riccardo Tedoldi , Ola Engkvist , Patrick Bryant , Hossein Azizpour , Jon Paul Janet , Alessandro Tibo

The generation of 3D molecules requires simultaneously deciding the categorical features~(atom types) and continuous features~(atom coordinates). Deep generative models, especially Diffusion Models (DMs), have demonstrated effectiveness in…

Machine Learning · Computer Science 2023-12-13 Yuxuan Song , Jingjing Gong , Minkai Xu , Ziyao Cao , Yanyan Lan , Stefano Ermon , Hao Zhou , Wei-Ying Ma

Predicting low-energy molecular conformations given a molecular graph is an important but challenging task in computational drug discovery. Existing state-of-the-art approaches either resort to large scale transformer-based models that…

Quantitative Methods · Quantitative Biology 2024-10-31 Majdi Hassan , Nikhil Shenoy , Jungyoon Lee , Hannes Stark , Stephan Thaler , Dominique Beaini

Generating molecular graphs is crucial in drug design and discovery but remains challenging due to the complex interdependencies between nodes and edges. While diffusion models have demonstrated their potentiality in molecular graph design,…

Machine Learning · Computer Science 2024-11-11 Xiaoyang Hou , Tian Zhu , Milong Ren , Dongbo Bu , Xin Gao , Chunming Zhang , Shiwei Sun

Molecular structure generation is a fundamental problem that involves determining the 3D positions of molecules' constituents. It has crucial biological applications, such as molecular docking, protein folding, and molecular design. Recent…

Machine Learning · Computer Science 2025-08-27 Wenyin Zhou , Christopher Iliffe Sprague , Vsevolod Viliuga , Matteo Tadiello , Arne Elofsson , Hossein Azizpour

Prediction of a molecule's 3D conformer ensemble from the molecular graph holds a key role in areas of cheminformatics and drug discovery. Existing generative models have several drawbacks including lack of modeling important molecular…

Generating molecular graphs with desired chemical properties driven by deep graph generative models provides a very promising way to accelerate drug discovery process. Such graph generative models usually consist of two steps: learning…

Machine Learning · Statistics 2020-06-19 Chengxi Zang , Fei Wang

Molecular conformation generation, a critical aspect of computational chemistry, involves producing the three-dimensional conformer geometry for a given molecule. Generating molecular conformation via diffusion requires learning to reverse…

Computational Physics · Physics 2023-10-10 Zihan Zhou , Ruiying Liu , Chaolong Ying , Ruimao Zhang , Tianshu Yu

Designing metal-organic frameworks (MOFs) with novel chemistries is a longstanding challenge due to their large combinatorial space and complex 3D arrangements of the building blocks. While recent deep generative models have enabled…

Biomolecules · Quantitative Biology 2026-02-05 Nayoung Kim , Seongsu Kim , Sungsoo Ahn

Deep generative models provide a promising approach to de novo 3D peptide design. Most of them jointly model the distributions of peptide's position, orientation, and conformation, attempting to simultaneously converge to the target pocket.…

Quantitative Methods · Quantitative Biology 2025-11-04 Dengdeng Huang , Shikui Tu

Molecular structure elucidation is a fundamental step in understanding chemical phenomena, with applications in identifying molecules in natural products, lab syntheses, forensic samples, and the interstellar medium. We consider the task of…

Machine Learning · Computer Science 2025-03-04 Austin Cheng , Alston Lo , Kin Long Kelvin Lee , Santiago Miret , Alán Aspuru-Guzik

A generative model capable of sampling realistic molecules with desired properties could accelerate chemical discovery across a wide range of applications. Toward this goal, significant effort has focused on developing models that jointly…

Machine Learning · Computer Science 2025-08-19 Ian Dunn , David R. Koes

Advanced generative model (e.g., diffusion model) derived from simplified continuity assumptions of data distribution, though showing promising progress, has been difficult to apply directly to geometry generation applications due to the…

Chemical Physics · Physics 2024-03-26 Yuxuan Song , Jingjing Gong , Yanru Qu , Hao Zhou , Mingyue Zheng , Jingjing Liu , Wei-Ying Ma

Molecule generation is advancing rapidly in chemical discovery and drug design. Flow matching methods have recently set the state of the art (SOTA) in unconditional molecule generation, surpassing score-based diffusion models. However,…

Fast and accurate generation of molecular conformers is desired for downstream computational chemistry and drug discovery tasks. Currently, training and sampling state-of-the-art diffusion or flow-based models for conformer generation…

Molecular crystal structure prediction represents a grand challenge in computational chemistry due to large sizes of constituent molecules and complex intra- and intermolecular interactions. While generative modeling has revolutionized…

Estimating three-dimensional conformations of a molecular graph allows insight into the molecule's biological and chemical functions. Fast generation of valid conformations is thus central to molecular modeling. Recent advances in…

Machine Learning · Computer Science 2025-02-18 Sohil Atul Shah , Vladlen Koltun

This paper proposes a new 3D molecule generation framework, called GOAT, for fast and effective 3D molecule generation based on the flow-matching optimal transport objective. Specifically, we formulate a geometric transport formula for…

Machine Learning · Computer Science 2025-03-04 Haokai Hong , Wanyu Lin , Kay Chen Tan

Constructing high-resolution 3D geological models from sparse 1D borehole and 2D surface data is a highly ill-posed inverse problem. Traditional heuristic and implicit modeling methods fundamentally fail to capture non-linear topological…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Zhixiang Lu , Mengqi Han , Peixin Guo , Tianming Bai , Jionglong Su , Fei Fang , Sifan Song
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