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Learning to sample from complex unnormalized distributions over discrete domains emerged as a promising research direction with applications in statistical physics, variational inference, and combinatorial optimization. Recent work has…

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

Machine Learning · Computer Science 2023-03-09 Florence Regol , Mark Coates

Classifier-free guided diffusion models have recently been shown to be highly effective at high-resolution image generation, and they have been widely used in large-scale diffusion frameworks including DALLE-2, Stable Diffusion and Imagen.…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Chenlin Meng , Robin Rombach , Ruiqi Gao , Diederik P. Kingma , Stefano Ermon , Jonathan Ho , Tim Salimans

Recent advances in diffusion models have shown remarkable potential in the conditional generation of novel molecules. These models can be guided in two ways: (i) explicitly, through additional features representing the condition, or (ii)…

Machine Learning · Computer Science 2025-03-12 Yuchen Shen , Chenhao Zhang , Sijie Fu , Chenghui Zhou , Newell Washburn , Barnabás Póczos

A recent study in turbulent flow simulation demonstrated the potential of generative diffusion models for fast 3D surrogate modeling. This approach eliminates the need for specifying initial states or performing lengthy simulations,…

Fluid Dynamics · Physics 2024-07-30 Abdullah Saydemir , Marten Lienen , Stephan Günnemann

Cloth manipulation is challenging due to its highly complex dynamics, near-infinite degrees of freedom, and frequent self-occlusions, which complicate both state estimation and dynamics modeling. Inspired by recent advances in generative…

Robotics · Computer Science 2025-09-03 Tongxuan Tian , Haoyang Li , Bo Ai , Xiaodi Yuan , Zhiao Huang , Hao Su

Recent literature has effectively leveraged diffusion models trained on continuous variables as priors for solving inverse problems. Notably, discrete diffusion models with discrete latent codes have shown strong performance, particularly…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Naoki Murata , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Bac Nguyen , Stefano Ermon , Yuki Mitsufuji

Discrete diffusion models, like continuous diffusion models, generate high-quality samples by gradually undoing noise applied to datapoints with a Markov process. Gradual generation in theory comes with many conceptual benefits; for…

Machine Learning · Computer Science 2025-09-30 Alan N. Amin , Nate Gruver , Andrew Gordon Wilson

We introduce a guided stochastic sampling method that augments sampling from diffusion models with physics-based guidance derived from partial differential equation (PDE) residuals and observational constraints, ensuring generated samples…

Machine Learning · Computer Science 2026-05-28 Andrew Millard , Fredrik Lindsten , Zheng Zhao

Recent deep generative models are able to provide photo-realistic images as well as visual or textual content embeddings useful to address various tasks of computer vision and natural language processing. Their usefulness is nevertheless…

Machine Learning · Computer Science 2020-01-29 Antoine Plumerault , Hervé Le Borgne , Céline Hudelot

Recent advances in image generation have made diffusion models powerful tools for creating high-quality images. However, their iterative denoising process makes understanding and interpreting their semantic latent spaces more challenging…

Computation and Language · Computer Science 2024-11-06 E. Zhixuan Zeng , Yuhao Chen , Alexander Wong

Popular guidance for denoising diffusion probabilistic model (DDPM) linearly combines distinct conditional models together to provide enhanced control over samples. However, this approach overlooks nonlinear effects that become significant…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Candi Zheng , Yuan Lan

Guidance serves as a key concept in diffusion models, yet its effectiveness is often limited by the need for extra data annotation or classifier pretraining. That is why guidance was harnessed from self-supervised learning backbones, like…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Vincent Tao Hu , Yunlu Chen , Mathilde Caron , Yuki M. Asano , Cees G. M. Snoek , Bjorn Ommer

The problem of text-guided image generation is a complex task in Computer Vision, with various applications, including creating visually appealing artwork and realistic product images. One popular solution widely used for this task is the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Halil Faruk Karagoz , Gulcin Baykal , Irem Arikan Eksi , Gozde Unal

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

We propose a deterministic denoising algorithm for discrete-state diffusion models. The key idea is to derandomize the generative reverse Markov chain by introducing a variant of the herding algorithm, which induces deterministic state…

Machine Learning · Computer Science 2026-01-30 Hideyuki Suzuki , Wataru Kurebayashi , Hiroshi Yamashita

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

Diffusion models achieve state-of-the-art performance in generating realistic objects and have been successfully applied to images, text, and videos. Recent work has shown that diffusion can also be defined on graphs, including graph…

Machine Learning · Computer Science 2023-02-09 Alex M. Tseng , Nathaniel Diamant , Tommaso Biancalani , Gabriele Scalia

We study masked discrete diffusion models with classifier-free guidance (CFG). Assuming no score error nor discretization error, we derive an explicit solution to the guided reverse dynamics, so that how guidance influences the sampling…

Machine Learning · Statistics 2025-06-13 He Ye , Rojas Kevin , Tao Molei

Diffusion-based generative models have achieved remarkable success in image generation. Their guidance formulation allows an external model to plug-and-play control the generation process for various tasks without finetuning the diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Hyojun Go , Yunsung Lee , Jin-Young Kim , Seunghyun Lee , Myeongho Jeong , Hyun Seung Lee , Seungtaek Choi