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The generation of accurate 3D molecular conformations is a pivotal challenge in computational chemistry and drug discovery. Recently, diffusion and flow matching models have achieved remarkable success. However, there is a critical…

Machine Learning · Computer Science 2026-05-26 Yunqing Liu , Yi Zhou , Wenqi Fan

Diffusion models (DMs) excel in unconditional generation, as well as on applications such as image editing and restoration. The success of DMs lies in the iterative nature of diffusion: diffusion breaks down the complex process of mapping…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Beomsu Kim , Jaemin Kim , Jeongsol Kim , Jong Chul Ye

Diffusion models have been shown to implicitly generate visual content autoregressively in the frequency domain, where low-frequency components are generated earlier in the denoising process while high-frequency details emerge only in later…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Howard Xiao , Brian Chao , Lior Yariv , Gordon Wetzstein

Denoising diffusion probabilistic models (DDPMs) are becoming the leading paradigm for generative models. It has recently shown breakthroughs in audio synthesis, time series imputation and forecasting. In this paper, we propose…

Machine Learning · Computer Science 2024-10-22 Xinyu Yuan , Yan Qiao

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

We present a generative modeling framework for synthesizing physically feasible two-dimensional incompressible flows under arbitrary obstacle geometries and boundary conditions. Whereas existing diffusion-based flow generators either ignore…

Fluid Dynamics · Physics 2026-02-23 Noah Trupin , Rahul Ghosh , Aadi Jangid

Diffusion generative models have excelled at diverse image generation and reconstruction tasks across fields. A less explored avenue is their application to discriminative tasks involving regression or classification problems. The…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-26 Nayantara Mudur , Carolina Cuesta-Lazaro , Douglas P. Finkbeiner

Proteins play a critical role in carrying out biological functions, and their 3D structures are essential in determining their functions. Accurately predicting the conformation of protein side-chains given their backbones is important for…

Quantitative Methods · Quantitative Biology 2024-02-19 Yangtian Zhang , Zuobai Zhang , Bozitao Zhong , Sanchit Misra , Jian Tang

Modern successes of diffusion models in learning complex, high-dimensional data distributions are attributed, in part, to their capability to construct diffusion processes with analytic transition kernels and score functions. The…

Machine Learning · Statistics 2024-03-01 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou , Molei Tao

Diffusion-based graph generative models have recently obtained promising results for graph generation. However, existing diffusion-based graph generative models are mostly one-shot generative models that apply Gaussian diffusion in the…

Artificial Intelligence · Computer Science 2023-07-19 Lingkai Kong , Jiaming Cui , Haotian Sun , Yuchen Zhuang , B. Aditya Prakash , Chao Zhang

Diffusion has emerged as a powerful framework for generative modeling, achieving remarkable success in applications such as image and audio synthesis. Enlightened by this progress, we propose a novel diffusion-based approach for symbolic…

Machine Learning · Computer Science 2025-06-02 Zachary Bastiani , Robert M. Kirby , Jacob Hochhalter , Shandian Zhe

Graph generation is a critical yet challenging task, as empirical analyses require a deep understanding of complex, non-Euclidean structures. Diffusion models have recently made significant advances in graph generation, but these models are…

Machine Learning · Computer Science 2026-03-13 Yiming Huang , Tolga Birdal

Diffusion models (DMs) are a powerful generative framework that have attracted significant attention in recent years. However, the high computational cost of training DMs limits their practical applications. In this paper, we start with a…

Machine Learning · Computer Science 2024-04-12 Tianshuo Xu , Peng Mi , Ruilin Wang , Yingcong Chen

Generating temporally coherent high fidelity video is an important milestone in generative modeling research. We make progress towards this milestone by proposing a diffusion model for video generation that shows very promising initial…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Jonathan Ho , Tim Salimans , Alexey Gritsenko , William Chan , Mohammad Norouzi , David J. Fleet

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

Diffusion models have been successful on a range of conditional generation tasks including molecular design and text-to-image generation. However, these achievements have primarily depended on task-specific conditional training or…

Machine Learning · Statistics 2024-11-26 Luhuan Wu , Brian L. Trippe , Christian A. Naesseth , David M. Blei , John P. Cunningham

Diffusion models have shown excellent performance in text-to-image generation. Nevertheless, existing methods often suffer from performance bottlenecks when handling complex prompts that involve multiple objects, characteristics, and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Mingcheng Li , Xiaolu Hou , Ziyang Liu , Dingkang Yang , Ziyun Qian , Jiawei Chen , Jinjie Wei , Yue Jiang , Qingyao Xu , Lihua Zhang

We report a series of deep learning models to solve complex forward and inverse design problems in molecular modeling and design. Using both diffusion models inspired by nonequilibrium thermodynamics and attention-based transformer…

Materials Science · Physics 2023-06-21 Rachel K. Luu , Marcin Wysokowski , Markus J. Buehler

Divide-and-conquer MCMC is a strategy for parallelising Markov Chain Monte Carlo sampling by running independent samplers on disjoint subsets of a dataset and merging their output. An ongoing challenge in the literature is to efficiently…

Machine Learning · Statistics 2024-06-18 C. Trojan , P. Fearnhead , C. Nemeth

Protein structure prediction has reached revolutionary levels of accuracy on single structures, yet distributional modeling paradigms are needed to capture the conformational ensembles and flexibility that underlie biological function.…

Biomolecules · Quantitative Biology 2023-04-06 Bowen Jing , Ezra Erives , Peter Pao-Huang , Gabriele Corso , Bonnie Berger , Tommi Jaakkola