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Gradient-domain machine learning (GDML) is an accurate and efficient approach to learn a molecular potential and associated force field based on the kernel ridge regression algorithm. Here, we demonstrate its application to learn an…

Computational Physics · Physics 2020-06-24 Jiang Wang , Stefan Chmiela , Klaus-Robert Müller , Frank Noè , Cecilia Clementi

Graph neural networks are emerging as promising methods for modeling molecular graphs, in which nodes and edges correspond to atoms and chemical bonds, respectively. Recent studies show that when 3D molecular geometries, such as bond…

Machine Learning · Computer Science 2021-10-06 Zhao Xu , Youzhi Luo , Xuan Zhang , Xinyi Xu , Yaochen Xie , Meng Liu , Kaleb Dickerson , Cheng Deng , Maho Nakata , Shuiwang Ji

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

The last decade has witnessed the success of deep learning and the surge of publicly released trained models, which necessitates the quantification of the model functional distance for various purposes. However, quantifying the model…

Machine Learning · Computer Science 2023-09-21 Jie Song , Zhengqi Xu , Sai Wu , Gang Chen , Mingli Song

Advances in deep learning have greatly improved structure prediction of molecules. However, many macroscopic observations that are important for real-world applications are not functions of a single molecular structure, but rather…

We introduce FragFM, a novel hierarchical framework via fragment-level discrete flow matching for efficient molecular graph generation. FragFM generates molecules at the fragment level, leveraging a coarse-to-fine autoencoder to reconstruct…

Machine Learning · Computer Science 2026-03-09 Joongwon Lee , Seonghwan Kim , Seokhyun Moon , Hyunwoo Kim , Woo Youn Kim

Great computational effort is invested in generating equilibrium states for molecular systems using, for example, Markov chain Monte Carlo. We present a probabilistic model that generates statistically independent samples for molecules from…

Machine Learning · Statistics 2021-02-09 Gregor N. C. Simm , José Miguel Hernández-Lobato

The paradigm shift toward structure-driven molecule generation has been propelled by advances in deep generative models, such as variational auto-encoders and diffusion models. However, these generative models for molecular design remain…

Machine Learning · Computer Science 2026-04-17 Peidong Liu , Wenbo Zhang , Wei Ju , Jiancheng Lv , Xianggen Liu

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

Functional groups (FGs) are molecular substructures that are served as a foundation for analyzing and predicting chemical properties of molecules. Automatic discovery of FGs will impact various fields of research, including medicinal…

Machine Learning · Computer Science 2019-10-11 Phillip Pope , Soheil Kolouri , Mohammad Rostrami , Charles Martin , Heiko Hoffmann

Using conservation of energy - a fundamental property of closed classical and quantum mechanical systems - we develop an efficient gradient-domain machine learning (GDML) approach to construct accurate molecular force fields using a…

Recent advances in deep learning have accelerated its use in various applications, such as cellular image analysis and molecular discovery. In molecular discovery, a generative adversarial network (GAN), which comprises a discriminator to…

Machine Learning · Computer Science 2023-04-13 Daniel Manu , Jingjing Yao , Wuji Liu , Xiang Sun

Stochastic gradient MCMC methods, such as stochastic gradient Langevin dynamics (SGLD), employ fast but noisy gradient estimates to enable large-scale posterior sampling. Although we can easily extend SGLD to distributed settings, it…

Machine Learning · Statistics 2021-06-16 Khaoula El Mekkaoui , Diego Mesquita , Paul Blomstedt , Samuel Kaski

Molecule generation is a challenging open problem in cheminformatics. Currently, deep generative approaches addressing the challenge belong to two broad categories, differing in how molecules are represented. One approach encodes molecular…

Machine Learning · Statistics 2020-11-02 Marco Podda , Davide Bacciu , Alessio Micheli

Generating novel active molecules for a given protein is an extremely challenging task for generative models that requires an understanding of the complex physical interactions between the molecule and its environment. In this paper, we…

Deep generative models have been applied with increasing success to the generation of two dimensional molecules as SMILES strings and molecular graphs. In this work we describe for the first time a deep generative model that can generate 3D…

Chemical Physics · Physics 2020-11-24 Tomohide Masuda , Matthew Ragoza , David Ryan Koes

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

Three-dimensional molecular structure generation is typically performed at the level of individual atoms, yet molecular graph generation techniques often consider fragments as their structural units. Building on the advances in frame-based…

Machine Learning · Computer Science 2026-01-26 Roman Poletukhin , Marcel Kollovieh , Eike Eberhard , Stephan Günnemann

Discovery of atomistic systems with desirable properties is a major challenge in chemistry and material science. Here we introduce a novel, autoregressive, convolutional deep neural network architecture that generates molecular equilibrium…

Machine Learning · Statistics 2018-10-29 Niklas W. A. Gebauer , Michael Gastegger , Kristof T. Schütt

Generative modeling of three-dimensional (3D) molecules is a fundamental yet challenging problem in drug discovery and materials science. Existing approaches typically represent molecules as 3D graphs and co-generate discrete atom types…

Machine Learning · Statistics 2026-03-16 Yuchen Hua , Xingang Peng , Jianzhu Ma , Muhan Zhang