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Diffusion-based text-to-image generation models trained on extensive text-image pairs have demonstrated the ability to produce photorealistic images aligned with textual descriptions. However, a significant limitation of these models is…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Mingyuan Zhou , Zhendong Wang , Huangjie Zheng , Hai Huang

Diffusion models generate samples by estimating the score function of the target distribution at various noise levels. The model is trained using samples drawn from the target distribution by progressively adding noise. Previous sample…

Machine Learning · Computer Science 2025-10-28 Syamantak Kumar , Dheeraj Nagaraj , Purnamrita Sarkar

Score-based diffusion models are a powerful class of generative models, but their practical use often depends on training neural networks to approximate the score function. Training-free diffusion models provide an attractive alternative by…

Numerical Analysis · Mathematics 2026-01-28 Pengjun Wang , Zezhong Zhang , Minglei Yang , Feng Bao , Yanzhao Cao , Guannan Zhang

We study score-based diffusion modelling in infinite-dimensional separable Hilbert spaces through Malliavin calculus, extending the analysis of generative models beyond the finite-dimensional setting. The forward diffusion process is…

Probability · Mathematics 2026-03-30 Ehsan Mirafzali , Frank Proske , Daniele Venturi , Razvan Marinescu

With the prevalence of social networks on online platforms, social recommendation has become a vital technique for enhancing personalized recommendations. The effectiveness of social recommendations largely relies on the social homophily…

Social and Information Networks · Computer Science 2025-08-28 Chengyi Liu , Jiahao Zhang , Shijie Wang , Wenqi Fan , Qing Li

Score matching with Langevin dynamics (SMLD) method has been successfully applied to accelerated MRI. However, the hyperparameters in the sampling process require subtle tuning, otherwise the results can be severely corrupted by…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Xiaoyu Qiao , Weisheng Li , Bin Xiao , Yuping Huang , Lijian Yang

Deep generative models offer a powerful alternative to conventional channel estimation by learning the complex prior distribution of wireless channels. Capitalizing on this potential, this paper proposes a novel channel estimation algorithm…

Information Theory · Computer Science 2025-10-27 Xiaotian Fan , Xingyu Zhou , Le Liang , Shi Jin

Score estimation is the backbone of score-based generative models (SGMs), especially denoising diffusion probabilistic models (DDPMs). A key result in this area shows that with accurate score estimates, SGMs can efficiently generate samples…

Machine Learning · Statistics 2025-04-08 Sinho Chewi , Alkis Kalavasis , Anay Mehrotra , Omar Montasser

In recent years, generative diffusion models have achieved a rapid paradigm shift in deep generative models by showing groundbreaking performance across various applications. Meanwhile, structured data, encompassing tabular and time series…

Machine Learning · Computer Science 2023-07-11 Heejoon Koo , To Eun Kim

We present a concise derivation for several influential score-based diffusion models that relies on only a few textbook results. Diffusion models have recently emerged as powerful tools for generating realistic, synthetic signals --…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Chicago Y. Park , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

Reversing a diffusion process by learning its score forms the heart of diffusion-based generative modeling and for estimating properties of scientific systems. The diffusion processes that are tractable center on linear processes with a…

Machine Learning · Computer Science 2024-07-12 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Score-based diffusion models, while achieving remarkable empirical performance, often suffer from low sampling speed, due to extensive function evaluations needed during the sampling phase. Despite a flurry of recent activities towards…

Machine Learning · Computer Science 2024-03-07 Gen Li , Yu Huang , Timofey Efimov , Yuting Wei , Yuejie Chi , Yuxin Chen

Despite the tremendous success of diffusion generative models in text-to-image generation, replicating this success in the domain of image compression has proven difficult. In this paper, we demonstrate that diffusion can significantly…

Image and Video Processing · Electrical Eng. & Systems 2024-03-11 Emiel Hoogeboom , Eirikur Agustsson , Fabian Mentzer , Luca Versari , George Toderici , Lucas Theis

We establish global well-posedness and convergence of the score-based generative models (SGM) under minimal general assumptions of initial data for score estimation. For the smooth case, we start from a Lipschitz bound of the score function…

Machine Learning · Computer Science 2024-05-28 Connor Mooney , Zhongjian Wang , Jack Xin , Yifeng Yu

Score-based generative models (SBM), also known as diffusion models, are the de facto state of the art for image synthesis. Despite their unparalleled performance, SBMs have recently been in the spotlight for being tricked into creating…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Camilo Carvajal Reyes , Joaquín Fontbona , Felipe Tobar

The recent advancements in text-to-3D generation mark a significant milestone in generative models, unlocking new possibilities for creating imaginative 3D assets across various real-world scenarios. While recent advancements in text-to-3D…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Yixun Liang , Xin Yang , Jiantao Lin , Haodong Li , Xiaogang Xu , Yingcong Chen

Diffusion models have emerged as powerful deep generative techniques, producing high-quality and diverse samples in applications in various domains including audio. While existing reviews provide overviews, there remains limited in-depth…

Sound · Computer Science 2026-01-16 Ge Zhu , Yutong Wen , Zhiyao Duan

Since their initial introduction, score-based diffusion models (SDMs) have been successfully applied to solve a variety of linear inverse problems in finite-dimensional vector spaces due to their ability to efficiently approximate the…

Machine Learning · Statistics 2023-10-31 Lorenzo Baldassari , Ali Siahkoohi , Josselin Garnier , Knut Solna , Maarten V. de Hoop

Although Score Distillation Sampling (SDS) has exhibited remarkable performance in conditional 3D content generation, a comprehensive understanding of its formulation is still lacking, hindering the development of 3D generation. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Boshi Tang , Jianan Wang , Zhiyong Wu , Lei Zhang

Generative models have emerged as powerful tools for planning, with compositional approaches offering particular promise for modeling long-horizon task distributions by composing together local, modular generative models. This compositional…

Robotics · Computer Science 2026-01-06 Utkarsh A Mishra , David He , Yongxin Chen , Danfei Xu