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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

Generative tasks about molecules, including but not limited to molecule generation, are crucial for drug discovery and material design, and have consistently attracted significant attention. In recent years, diffusion models have emerged as…

Machine Learning · Computer Science 2025-02-14 Liang Wang , Chao Song , Zhiyuan Liu , Yu Rong , Qiang Liu , Shu Wu , Liang Wang

Diffusion models have had a profound impact on many application areas, including those where data are intrinsically infinite-dimensional, such as images or time series. The standard approach is first to discretize and then to apply…

Machine Learning · Statistics 2025-06-09 Jakiw Pidstrigach , Youssef Marzouk , Sebastian Reich , Sven Wang

Diffusion-based generative modeling has been achieving state-of-the-art results on various generation tasks. Most diffusion models, however, are limited to a single-generation modeling. Can we generalize diffusion models with the ability of…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Changyou Chen , Han Ding , Bunyamin Sisman , Yi Xu , Ouye Xie , Benjamin Z. Yao , Son Dinh Tran , Belinda Zeng

Generative artificial intelligence (AI) refers to algorithms that create synthetic but realistic output. Diffusion models currently offer state of the art performance in generative AI for images. They also form a key component in more…

Machine Learning · Computer Science 2023-12-27 Catherine F. Higham , Desmond J. Higham , Peter Grindrod

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

Machine Learning · Computer Science 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a forward…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

Riemannian diffusion models draw inspiration from standard Euclidean space diffusion models to learn distributions on general manifolds. Unfortunately, the additional geometric complexity renders the diffusion transition term inexpressible…

Machine Learning · Computer Science 2023-11-01 Aaron Lou , Minkai Xu , Stefano Ermon

Diffusion models have emerged as the new state-of-the-art generative model with high quality samples, with intriguing properties such as mode coverage and high flexibility. They have also been shown to be effective inverse problem solvers,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Hyungjin Chung , Dohoon Ryu , Michael T. McCann , Marc L. Klasky , Jong Chul Ye

This article considers the generative modeling of the (mixed) states of quantum systems, and an approach based on denoising diffusion model is proposed. The key contribution is an algorithmic innovation that respects the physical nature of…

Quantum Physics · Physics 2024-05-28 Yuchen Zhu , Tianrong Chen , Evangelos A. Theodorou , Xie Chen , Molei Tao

Molecule generation is a very important practical problem, with uses in drug discovery and material design, and AI methods promise to provide useful solutions. However, existing methods for molecule generation focus either on 2D graph…

Machine Learning · Computer Science 2024-02-07 Chenqing Hua , Sitao Luan , Minkai Xu , Rex Ying , Jie Fu , Stefano Ermon , Doina Precup

Generative models based on diffusion have become the state of the art in the last few years, notably for image generation. Here, we analyse them in the high-dimensional limit, where data are formed by a very large number of variables. We…

Disordered Systems and Neural Networks · Physics 2023-10-31 Giulio Biroli , Marc Mézard

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

Current generative models, such as autoregressive and diffusion approaches, decompose high-dimensional data distribution learning into a series of simpler subtasks. However, inherent conflicts arise during the joint optimization of these…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Ruixiao Dong , Mengde Xu , Zigang Geng , Li Li , Han Hu , Shuyang Gu

We introduce a new family of physics-inspired generative models termed PFGM++ that unifies diffusion models and Poisson Flow Generative Models (PFGM). These models realize generative trajectories for $N$ dimensional data by embedding paths…

Machine Learning · Computer Science 2023-02-13 Yilun Xu , Ziming Liu , Yonglong Tian , Shangyuan Tong , Max Tegmark , Tommi Jaakkola

In recent years, diffusion models have become the leading approach for distribution learning. This paper focuses on structure-preserving diffusion models (SPDM), a specific subset of diffusion processes tailored for distributions with…

Machine Learning · Computer Science 2025-03-12 Haoye Lu , Spencer Szabados , Yaoliang Yu

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

We present two novel generative geometric deep learning frameworks, termed Flow Matching PointNet and Diffusion PointNet, for predicting fluid flow variables on irregular geometries by incorporating PointNet into flow matching and diffusion…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Ali Kashefi

Many successful families of generative models leverage a low-dimensional latent distribution that is mapped to a data distribution. Though simple latent distributions are often used, the choice of distribution has a strong impact on model…

We introduce Efficient Motion Diffusion Model (EMDM) for fast and high-quality human motion generation. Current state-of-the-art generative diffusion models have produced impressive results but struggle to achieve fast generation without…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Wenyang Zhou , Zhiyang Dou , Zeyu Cao , Zhouyingcheng Liao , Jingbo Wang , Wenjia Wang , Yuan Liu , Taku Komura , Wenping Wang , Lingjie Liu
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