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Flow matching models have emerged as a powerful method for generative modeling on domains like images or videos, and even on irregular or unstructured data like 3D point clouds or even protein structures. These models are commonly trained…

Machine Learning · Computer Science 2025-05-30 Yuyang Wang , Anurag Ranjan , Josh Susskind , Miguel Angel Bautista

Simulating trajectories of dynamical systems is a fundamental problem in a wide range of fields such as molecular dynamics, biochemistry, and pedestrian dynamics. Machine learning has become an invaluable tool for scaling physics-based…

Machine Learning · Computer Science 2026-05-28 Kiet Bennema ten Brinke , Koen Minartz , Vlado Menkovski

Combining discrete and continuous data is an important capability for generative models. We present Discrete Flow Models (DFMs), a new flow-based model of discrete data that provides the missing link in enabling flow-based generative models…

Machine Learning · Statistics 2024-06-07 Andrew Campbell , Jason Yim , Regina Barzilay , Tom Rainforth , Tommi Jaakkola

Proteins move and deform to ensure their biological functions. Despite significant progress in protein structure prediction, approximating conformational ensembles at physiological conditions remains a fundamental open problem. This paper…

Biomolecules · Quantitative Biology 2025-04-07 Valentin Lombard , Sergei Grudinin , Elodie Laine

Generative models based on flow matching have demonstrated remarkable success in various domains, yet they suffer from a fundamental limitation: the lack of interpretability in their intermediate generation steps. In fact these models learn…

Machine Learning · Computer Science 2025-10-27 Francesco Pivi , Simone Gazza , Davide Evangelista , Roberto Amadini , Maurizio Gabbrielli

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

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

Predicting the effects of perturbations in-silico on cell state can identify drivers of cell behavior at scale and accelerate drug discovery. However, modeling challenges remain due to the inherent heterogeneity of single cell gene…

Flow matching has recently emerged as a promising alternative to diffusion-based generative models, offering faster sampling and simpler training by learning continuous flows governed by ordinary differential equations. Despite growing…

Machine Learning · Computer Science 2025-12-02 Mudit Gaur , Prashant Trivedi , Shuchin Aeron , Amrit Singh Bedi , George K. Atia , Vaneet Aggarwal

Exploring molecular energy landscapes and identifying ground-state conformations are central challenges in computational chemistry. However, generating diverse low-energy conformers from molecular graphs remains expensive with traditional…

Machine Learning · Computer Science 2026-05-25 Guikun Xu , Xiaohan Yi , Ziqiao Meng , Peilin Zhao , Yatao Bian

Generating high-quality time series data has emerged as a critical research topic due to its broad utility in supporting downstream time series mining tasks. A major challenge lies in modeling the intrinsic stochasticity of temporal…

Artificial Intelligence · Computer Science 2025-11-20 He Panjing , Cheng Mingyue , Li Li , Zhang XiaoHan

Sequence generative models are transforming protein engineering. However, no principled framework exists for conditioning these models on auxiliary information, such as experimental data, without additional training of a generative model.…

Machine Learning · Computer Science 2026-01-19 Junhao Xiong , Ishan Gaur , Maria Lukarska , Hunter Nisonoff , Luke M. Oltrogge , David F. Savage , Jennifer Listgarten

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

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

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

Peptides, short chains of amino acid residues, play a vital role in numerous biological processes by interacting with other target molecules, offering substantial potential in drug discovery. In this work, we present PepFlow, the first…

Biomolecules · Quantitative Biology 2024-06-04 Jiahan Li , Chaoran Cheng , Zuofan Wu , Ruihan Guo , Shitong Luo , Zhizhou Ren , Jian Peng , Jianzhu Ma

Neural processes (NPs) are a class of models that learn stochastic processes directly from data and can be used for inference, sampling and conditional sampling. We introduce a new NP model based on flow matching, a generative modeling…

Machine Learning · Computer Science 2026-01-01 Hussen Abu Hamad , Dan Rosenbaum

We propose Pullback Flow Matching (PFM), a novel framework for generative modeling on data manifolds. Unlike existing methods that assume or learn restrictive closed-form manifold mappings for training Riemannian Flow Matching (RFM) models,…

Machine Learning · Computer Science 2025-07-10 Friso de Kruiff , Erik Bekkers , Ozan Öktem , Carola-Bibiane Schönlieb , Willem Diepeveen

Generative modeling has become a central paradigm in protein research, extending machine learning beyond structure prediction toward sequence design, backbone generation, inverse folding, and biomolecular interaction modeling. However, the…

Machine Learning · Computer Science 2026-03-30 Senura Hansaja Wanasekara , Minh-Duong Nguyen , Xiaochen Liu , Nguyen H. Tran , Ken-Tye Yong

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…