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Recently described stochastic models of protein evolution have demonstrated that the inclusion of structural information in addition to amino acid sequences leads to a more reliable estimation of evolutionary parameters. We present a…

Populations and Evolution · Quantitative Biology 2020-09-22 Michael Golden , Eduardo García-Portugués , Michael Sørensen , Kanti V. Mardia , Thomas Hamelryck , Jotun Hein

Structure-based drug design (SBDD), which aims to generate molecules that can bind tightly to the target protein, is an essential problem in drug discovery, and previous approaches have achieved initial success. However, most existing…

Machine Learning · Computer Science 2024-04-04 Xinze Li , Penglei Wang , Tianfan Fu , Wenhao Gao , Chengtao Li , Leilei Shi , Junhong Liu

Flow matching (FM) is increasingly used in scientific domains for time series generation and forecasting, where data often arise from underlying dynamical systems. However, it is not well-understood whether it learns transferable dynamical…

Machine Learning · Statistics 2026-05-08 Soon Hoe Lim , Shizheng Lin , Michael W. Mahoney , N. Benjamin Erichson

Inverse protein folding is challenging due to its inherent one-to-many mapping characteristic, where numerous possible amino acid sequences can fold into a single, identical protein backbone. This task involves not only identifying viable…

Quantitative Methods · Quantitative Biology 2023-11-08 Kai Yi , Bingxin Zhou , Yiqing Shen , Pietro Liò , Yu Guang Wang

Flow-based generative models are composed of invertible transformations between two random variables of the same dimension. Therefore, flow-based models cannot be adequately trained if the dimension of the data distribution does not match…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Hyeongju Kim , Hyeonseung Lee , Woo Hyun Kang , Joun Yeop Lee , Nam Soo Kim

Protein folding is a problem of large interest since it concerns the mechanism by which the genetic information is translated into proteins with well defined three-dimensional (3D) structures and functions. Recently theoretical models have…

Biomolecules · Quantitative Biology 2007-05-23 Emidio Capriotti , Rita Casadio

Discovering heterogeneous catalysts tailored for specific reaction intermediates remains a fundamental bottleneck in materials science. While traditional trial-and-error methods and recent generative models have shown promise, they struggle…

Materials Science · Physics 2026-05-19 Minkyu Kim , Nayoung Kim , Honghui Kim , Sungsoo Ahn

Coupling normalizing flows allow for fast sampling and density evaluation, making them the tool of choice for probabilistic modeling of physical systems. However, the standard coupling architecture precludes endowing flows that operate on…

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

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

We propose SymDiff, a method for constructing equivariant diffusion models using the framework of stochastic symmetrisation. SymDiff resembles a learned data augmentation that is deployed at sampling time, and is lightweight,…

Machine Learning · Computer Science 2025-03-04 Leo Zhang , Kianoosh Ashouritaklimi , Yee Whye Teh , Rob Cornish

Achieving high-fidelity and temporally smooth 3D human motion generation remains a challenge, particularly within resource-constrained environments. We introduce FlowMotion, a novel method leveraging Conditional Flow Matching (CFM).…

Graphics · Computer Science 2025-04-28 Manolo Canales Cuba , Vinícius do Carmo Melício , João Paulo Gois

Flow Matching (FM) policies have emerged as an efficient backbone for robotic control, offering fast and expressive action generation that underpins recent large-scale embodied AI systems. However, FM policies trained via imitation learning…

Robotics · Computer Science 2026-04-14 Xiaotian Qiu , Lukai Chen , Jinhao Li , Qi Sun , Cheng Zhuo , Guohao Dai

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

Spatio-temporal (3D+t) generative modelling of cardiac shape and motion is crucial for understanding heart structure and function at population scale. Existing generative models for cardiac shape synthesis either adopt volumetric shape…

Image and Video Processing · Electrical Eng. & Systems 2026-05-05 Qiang Ma , Qingjie Meng , Mengyun Qiao , Paul M. Matthews , Declan P. O'Regan , Wenjia Bai

Flow matching has emerged as a powerful generative framework, with recent few-step methods achieving remarkable inference acceleration. However, we identify a critical yet overlooked limitation: these models suffer from severe diversity…

Machine Learning · Computer Science 2026-04-15 Yexiong Lin , Jia Shi , Shanshan Ye , Wanyu Wang , Yu Yao , Tongliang Liu

Multi-objective optimization problems are ubiquitous in robotics, e.g., the optimization of a robot manipulation task requires a joint consideration of grasp pose configurations, collisions and joint limits. While some demands can be easily…

Robotics · Computer Science 2023-06-21 Julen Urain , Niklas Funk , Jan Peters , Georgia Chalvatzaki

We propose Shallow Flow Matching (SFM), a novel mechanism that enhances flow matching (FM)-based text-to-speech (TTS) models within a coarse-to-fine generation paradigm. Unlike conventional FM modules, which use the coarse representations…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-24 Dong Yang , Yiyi Cai , Yuki Saito , Lixu Wang , Hiroshi Saruwatari

Flow matching models generate high-fidelity molecular geometries but incur significant computational costs during inference, requiring hundreds of network evaluations. This inference overhead becomes the primary bottleneck when such models…

Machine Learning · Computer Science 2025-10-07 Johanna Sommer , John Rachwan , Nils Fleischmann , Stephan Günnemann , Bertrand Charpentier

Modeling complex fluid systems, especially turbulence governed by partial differential equations (PDEs), remains a fundamental challenge in science and engineering. Recently, diffusion-based generative models have gained attention as a…

Machine Learning · Computer Science 2025-06-03 Haixin Wang , Jiashu Pan , Hao Wu , Fan Zhang , Tailin Wu