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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

Designing molecules that bind to specific target proteins is a fundamental task in drug discovery. Recent models leverage geometric constraints to generate ligand molecules that bind cohesively with specific protein pockets. However, these…

Biomolecules · Quantitative Biology 2023-04-26 Fang Sun , Zhihao Zhan , Hongyu Guo , Ming Zhang , Jian Tang

Generating new molecules is fundamental to advancing critical applications such as drug discovery and material synthesis. Flows can generate molecules effectively by inverting the encoding process, however, existing flow models either…

Machine Learning · Computer Science 2022-10-14 Yogesh Verma , Samuel Kaski , Markus Heinonen , Vikas Garg

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

Recent efforts have extended the flow-matching framework to discrete generative modeling. One strand of models directly works with the continuous probabilities instead of discrete tokens, which we colloquially refer to as Continuous-State…

Machine Learning · Computer Science 2025-04-15 Chaoran Cheng , Jiahan Li , Jiajun Fan , Ge Liu

We present Orbit-Space Geometric Probability Paths (OGPP), a particle-native flow-matching framework for generative modeling of particle systems. OGPP is motivated by two insights: (i) particles are defined up to permutation symmetries, so…

Graphics · Computer Science 2026-05-05 Sinan Wang , Jinjin He , Shenyifan Lu , Ruicheng Wang , Greg Turk , Bo Zhu

Generating desirable molecular structures in 3D is a fundamental problem for drug discovery. Despite the considerable progress we have achieved, existing methods usually generate molecules in atom resolution and ignore intrinsic local…

Biomolecules · Quantitative Biology 2023-05-29 Bo Qiang , Yuxuan Song , Minkai Xu , Jingjing Gong , Bowen Gao , Hao Zhou , Weiying Ma , Yanyan Lan

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

Developing bioactive molecules remains a central, time- and cost-heavy challenge in drug discovery, particularly for novel targets lacking structural or functional data. Pharmacophore modeling presents an alternative for capturing the key…

Machine Learning · Computer Science 2025-05-16 Amira Alakhdar , Barnabas Poczos , Newell Washburn

Protein structure prediction and folding are fundamental to understanding biology, with recent deep learning advances reshaping the field. Diffusion-based generative models have revolutionized protein design, enabling the creation of novel…

Machine Learning · Computer Science 2025-10-01 Yogesh Verma , Markus Heinonen , Vikas Garg

The task of deducing three-dimensional molecular configurations from their two-dimensional graph representations holds paramount importance in the fields of computational chemistry and pharmaceutical development. The rapid advancement of…

Biomolecules · Quantitative Biology 2025-01-09 Bobin Yang , Jie Deng , Zhenghan Chen , Ruoxue Wu

Molecular dynamics (MD) has long been the de facto choice for simulating complex atomistic systems from first principles. Recently deep learning models become a popular way to accelerate MD. Notwithstanding, existing models depend on…

Computational Engineering, Finance, and Science · Computer Science 2023-01-10 Fang Wu , Stan Z. Li

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

We introduce Midpoint Generative Models (MGM), a principled framework for training one-step generative models. MGM is based on a simple symmetry of Flow Matching with linear interpolation: when the two endpoint distributions coincide, the…

Machine Learning · Computer Science 2026-05-29 Daniil Shlenskii , Nikita Gushchin , Lev Novitskiy , Dmitry V. Dylov , Alexander Korotin

Designing molecules with specific properties is a long-lasting research problem and is central to advancing crucial domains such as drug discovery and material science. Recent advances in deep graph generative models treat molecule design…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Amarda Shehu , Liang Zhao

Generative models see increasing use in computer-aided drug design. However, while performing well at capturing distributions of molecular motifs, they often produce synthetically inaccessible molecules. To address this, we introduce…

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

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

Generating molecules with desired biological activities has attracted growing attention in drug discovery. Previous molecular generation models are designed as chemocentric methods that hardly consider the drug-target interaction, limiting…

Machine Learning · Computer Science 2022-10-24 Cheng Tan , Zhangyang Gao , Stan Z. Li

Molecular representation learning has shown great success in advancing AI-based drug discovery. The core of many recent works is based on the fact that the 3D geometric structure of molecules provides essential information about their…

Machine Learning · Computer Science 2024-10-23 Jiying Zhang , Zijing Liu , Yu Wang , Yu Li