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We propose SymDiff, a method for constructing equivariant diffusion models using the framework of stochastic symmetrisation. SymDiff resembles a learned data augmentation that is deployed at sampling time, and is lightweight,…

Machine Learning · Computer Science 2025-03-04 Leo Zhang , Kianoosh Ashouritaklimi , Yee Whye Teh , Rob Cornish

Many particle physics datasets like those generated at colliders are described by continuous coordinates (in contrast to grid points like in an image), respect a number of symmetries (like permutation invariance), and have a stochastic…

High Energy Physics - Phenomenology · Physics 2023-11-03 Vinicius Mikuni , Benjamin Nachman , Mariel Pettee

Existing approaches for analyzing neural network activations, such as PCA and sparse autoencoders, rely on strong structural assumptions. Generative models offer an alternative: they can uncover structure without such assumptions and act as…

Machine Learning · Computer Science 2026-02-09 Grace Luo , Jiahai Feng , Trevor Darrell , Alec Radford , Jacob Steinhardt

Autoregressive next-step prediction models have become the de-facto standard for building data-driven neural solvers to forecast time-dependent partial differential equations (PDEs). Denoise training that is closely related to diffusion…

Machine Learning · Computer Science 2025-03-31 Zijie Li , Anthony Zhou , Amir Barati Farimani

Calculating perturbation response properties of materials from first principles provides a vital link between theory and experiment, but is bottlenecked by the high computational cost. Here a general framework is proposed to perform density…

Computational Physics · Physics 2024-03-01 He Li , Zechen Tang , Jingheng Fu , Wen-Han Dong , Nianlong Zou , Xiaoxun Gong , Wenhui Duan , Yong Xu

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

Recent advances in fast sampling methods for diffusion models have demonstrated significant potential to accelerate generation on image modalities. We apply these methods to 3-dimensional molecular conformations by building on the recently…

Quantitative Methods · Quantitative Biology 2024-04-23 Romain Lacombe , Neal Vaidya

The de novo design of proteins refers to creating proteins with specific structures and functions that do not naturally exist. In recent years, the accumulation of high-quality protein structure and sequence data and technological…

Biomolecules · Quantitative Biology 2025-04-24 Yujie Qin , Ming He , Changyong Yu , Ming Ni , Xian Liu , Xiaochen Bo

Employing a forward diffusion chain to gradually map the data to a noise distribution, diffusion-based generative models learn how to generate the data by inferring a reverse diffusion chain. However, this approach is slow and costly…

Machine Learning · Statistics 2023-09-08 Huangjie Zheng , Pengcheng He , Weizhu Chen , Mingyuan Zhou

Diffusion-based generative models have achieved promising results recently, but raise an array of open questions in terms of conceptual understanding, theoretical analysis, algorithm improvement and extensions to discrete, structured,…

Machine Learning · Computer Science 2022-09-01 Xingchao Liu , Lemeng Wu , Mao Ye , Qiang Liu

Generating molecular structures with desired properties is a critical task with broad applications in drug discovery and materials design. We propose 3M-Diffusion, a novel multi-modal molecular graph generation method, to generate diverse,…

Machine Learning · Computer Science 2024-10-04 Huaisheng Zhu , Teng Xiao , Vasant G Honavar

Diffusion models have shown an impressive ability to model complex data distributions, with several key advantages over GANs, such as stable training, better coverage of the training distribution's modes, and the ability to solve inverse…

Computer Vision and Pattern Recognition · Computer Science 2024-06-12 Yinbo Chen , Oliver Wang , Richard Zhang , Eli Shechtman , Xiaolong Wang , Michael Gharbi

This paper presents DiffSurf, a transformer-based denoising diffusion model for generating and reconstructing 3D surfaces. Specifically, we design a diffusion transformer architecture that predicts noise from noisy 3D surface vertices and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Yusuke Yoshiyasu , Leyuan Sun

Recent advancements in layout pattern generation have been dominated by deep generative models. However, relying solely on neural networks for legality guarantees raises concerns in many practical applications. In this paper, we present…

Machine Learning · Computer Science 2025-05-09 Zixiao Wang , Wenqian Zhao , Yunheng Shen , Yang Bai , Guojin Chen , Farzan Farnia , Bei Yu

This survey paper provides a comprehensive review of the use of diffusion models in natural language processing (NLP). Diffusion models are a class of mathematical models that aim to capture the diffusion of information or signals across a…

Computation and Language · Computer Science 2023-06-16 Hao Zou , Zae Myung Kim , Dongyeop Kang

This work introduces a diffusion model for molecule generation in 3D that is equivariant to Euclidean transformations. Our E(3) Equivariant Diffusion Model (EDM) learns to denoise a diffusion process with an equivariant network that jointly…

Machine Learning · Computer Science 2022-06-17 Emiel Hoogeboom , Victor Garcia Satorras , Clément Vignac , Max Welling

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

We present DiffusionBERT, a new generative masked language model based on discrete diffusion models. Diffusion models and many pre-trained language models have a shared training objective, i.e., denoising, making it possible to combine the…

Computation and Language · Computer Science 2022-12-02 Zhengfu He , Tianxiang Sun , Kuanning Wang , Xuanjing Huang , Xipeng Qiu

Diffusion models are capable of generating photo-realistic images that combine elements which likely do not appear together in the training set, demonstrating the ability to \textit{compositionally generalize}. Nonetheless, the precise…

Artificial Intelligence · Computer Science 2024-10-14 Qiyao Liang , Ziming Liu , Mitchell Ostrow , Ila Fiete

Diffusion, a fundamental internal mechanism emerging in many physical processes, describes the interaction among different objects. In many learning tasks with limited training samples, the diffusion connects the labeled and unlabeled data…

Machine Learning · Computer Science 2023-05-02 Tangjun Wang , Zehao Dou , Chenglong Bao , Zuoqiang Shi
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