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Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin

Structure-based drug design (SBDD), aiming to generate 3D molecules with high binding affinity toward target proteins, is a vital approach in novel drug discovery. Although recent generative models have shown great potential, they suffer…

Machine Learning · Computer Science 2025-11-05 Jingyuan Zhou , Hao Qian , Shikui Tu , Lei Xu

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

Biological processes, functions, and properties are intricately linked to the ensemble of protein conformations, rather than being solely determined by a single stable conformation. In this study, we have developed P2DFlow, a generative…

Biological Physics · Physics 2025-03-05 Yaowei Jin , Qi Huang , Ziyang Song , Mingyue Zheng , Dan Teng , Qian Shi

Metal-organic frameworks (MOFs) are a class of crystalline materials with promising applications in many areas such as carbon capture and drug delivery. In this work, we introduce MOFFlow, the first deep generative model tailored for MOF…

Biomolecules · Quantitative Biology 2025-03-20 Nayoung Kim , Seongsu Kim , Minsu Kim , Jinkyoo Park , Sungsoo Ahn

We present an investigation into diffusion models for molecular generation, with the aim of better understanding how their predictions compare to the results of physics-based calculations. The investigation into these models is driven by…

We present a novel algorithm explicitly tailored to estimate motion from time series of 3D images of concrete. Such volumetric images are usually acquired by Computed Tomography and can contain for example in situ tests, or more complex…

Image and Video Processing · Electrical Eng. & Systems 2023-10-18 Tessa Nogatz , Claudia Redenbach , Katja Schladitz

With the recent advances in machine learning for quantum chemistry, it is now possible to predict the chemical properties of compounds and to generate novel molecules. Existing generative models mostly use a string- or graph-based…

Biomolecules · Quantitative Biology 2020-10-14 Vitali Nesterov , Mario Wieser , Volker Roth

Single-particle reconstruction in cryo-electron microscopy (cryo-EM) is an increasingly popular technique for determining the 3-D structure of a molecule from several noisy 2-D projections images taken at unknown viewing angles. Most…

Numerical Analysis · Mathematics 2020-04-22 Nir Sharon , Joe Kileel , Yuehaw Khoo , Boris Landa , Amit Singer

Over three decades ago the advection-diffusion equation for a steady fluid velocity field was homogenized, leading to a Stieltjes integral representation for the effective diffusivity, which is given in terms of a spectral measure of a…

Fluid Dynamics · Physics 2024-04-30 N. B. Murphy , D. Hallman , E. Cherkaev , J. Xin , K. M. Golden

An accurate prediction of the translational and rotational motion of particles suspended in a fluid is only possible if a complete set of correlations for the force coefficients of fluid-particle interaction is known. The present study is…

Fluid Dynamics · Physics 2020-09-24 Martyna Minakowska , Thomas Richter , Sebastian Sager

Generating molecules that bind to specific proteins is an important but challenging task in drug discovery. Previous works usually generate atoms in an auto-regressive way, where element types and 3D coordinates of atoms are generated one…

Biomolecules · Quantitative Biology 2024-07-16 Haitao Lin , Yufei Huang , Odin Zhang , Siqi Ma , Meng Liu , Xuanjing Li , Lirong Wu , Jishui Wang , Tingjun Hou , Stan Z. Li

Obtaining 3D conformations of realistic polyatomic molecules at the quantum chemistry level remains challenging, and although recent machine learning advances offer promise, predicting large-molecule structures still requires substantial…

Chemical Physics · Physics 2025-11-18 Yifei Zhu , Jiahui Zhang , Jiawei Peng , Mengge Li , Chao Xu , Zhenggang Lan

We introduce a new framework for molecular graph generation with 3D molecular generative models. Our Synthetic Coordinate Embedding (SyCo) framework maps molecular graphs to Euclidean point clouds via synthetic conformer coordinates and…

Machine Learning · Computer Science 2024-06-18 Mohamed Amine Ketata , Nicholas Gao , Johanna Sommer , Tom Wollschläger , Stephan Günnemann

Symmetry is fundamental to understanding physical systems and can improve performance and sample efficiency in machine learning. Both pursuits require knowledge of the underlying symmetries in data, yet discovering these symmetries…

Artificial Intelligence · Computer Science 2026-03-03 Yuxuan Chen , Jung Yeon Park , Floor Eijkelboom , Jianke Yang , Jan-Willem van de Meent , Lawson L. S. Wong , Robin Walters

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

We present a novel way to predict molecular conformers through a simple formulation that sidesteps many of the heuristics of prior works and achieves state of the art results by using the advantages of scale. By training a diffusion…

Chemical Physics · Physics 2024-05-13 Yuyang Wang , Ahmed A. Elhag , Navdeep Jaitly , Joshua M. Susskind , Miguel Angel Bautista

Molecules have seemed like a natural fit to deep learning's tendency to handle a complex structure through representation learning, given enough data. However, this often continuous representation is not natural for understanding chemical…

Machine Learning · Computer Science 2021-03-12 Austin Clyde , Arvind Ramanathan , Rick Stevens

Diffusion and flow matching approaches to generative modeling have shown promise in domains where the state space is continuous, such as image generation or protein folding & design, and discrete, exemplified by diffusion large language…

Deep generative models have shown promise for modeling metal-organic frameworks (MOFs), but existing approaches (1) rely on coarse-grained representations that assume fixed bond lengths and angles, and (2) neglect the MOF-adsorbate…

Materials Science · Physics 2026-02-10 Nayoung Kim , Honghui Kim , Sihyun Yu , Minkyu Kim , Seongsu Kim , Sungsoo Ahn