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Diffusion models have achieved remarkable success in imaging inverse problems owing to their powerful generative capabilities. However, existing approaches typically rely on models trained for specific degradation types, limiting their…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Zhen Wang , Hongyi Liu , Zhihui Wei

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Complex degradations like noise, blur, and low resolution are typical challenges in real world image fusion tasks, limiting the performance and practicality of existing methods. End to end neural network based approaches are generally…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Yu Shi , Yu Liu , Zhong-Cheng Wu , Juan Cheng , Huafeng Li , Xun Chen

Diffusion models have emerged as a key pillar of foundation models in visual domains. One of their critical applications is to universally solve different downstream inverse tasks via a single diffusion prior without re-training for each…

Machine Learning · Computer Science 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

The covariance for clean data given a noisy observation is an important quantity in many training-free guided generation methods for diffusion models. Current methods require heavy test-time computation, altering the standard diffusion…

Machine Learning · Computer Science 2025-03-25 Severi Rissanen , Markus Heinonen , Arno Solin

Randomized smoothing is a well-established method for achieving certified robustness against l2-adversarial perturbations. By incorporating a denoiser before the base classifier, pretrained classifiers can be seamlessly integrated into…

Machine Learning · Computer Science 2025-09-16 Ali Hedayatnia , Mostafa Tavassolipour , Babak Nadjar Araabi , Abdol-Hossein Vahabie

Denoising diffusion models have spurred significant gains in density modeling and image generation, precipitating an industrial revolution in text-guided AI art generation. We introduce a new mathematical foundation for diffusion models…

Machine Learning · Computer Science 2023-02-09 Xianghao Kong , Rob Brekelmans , Greg Ver Steeg

Diffusion models are a class of flexible generative models trained with an approximation to the log-likelihood objective. However, most use cases of diffusion models are not concerned with likelihoods, but instead with downstream objectives…

Machine Learning · Computer Science 2024-01-08 Kevin Black , Michael Janner , Yilun Du , Ilya Kostrikov , Sergey Levine

The success of denoising diffusion models raises important questions regarding their generalisation behaviour, particularly in high-dimensional settings. Notably, it has been shown that when training and sampling are performed perfectly,…

Machine Learning · Statistics 2025-07-08 Tyler Farghly , Patrick Rebeschini , George Deligiannidis , Arnaud Doucet

The objective function of a matrix factorization model usually aims to minimize the average of a regression error contributed by each element. However, given the existence of stochastic noises, the implicit deviations of sample data from…

Machine Learning · Computer Science 2016-10-31 Guang-He Lee , Shao-Wen Yang , Shou-De Lin

Diffusion models have shown promising generative capabilities across diverse domains, yet aligning their outputs with desired reward functions remains a challenge, particularly in cases where reward functions are non-differentiable. Some…

Machine Learning · Computer Science 2025-06-04 Xiner Li , Masatoshi Uehara , Xingyu Su , Gabriele Scalia , Tommaso Biancalani , Aviv Regev , Sergey Levine , Shuiwang Ji

Diffusion models are powerful tools for sampling from high-dimensional distributions by progressively transforming pure noise into structured data through a denoising process. When equipped with a guidance mechanism, these models can also…

Machine Learning · Computer Science 2026-05-04 Saeed Mohseni-Sehdeh , Walid Saad , Kei Sakaguchi , Tao Yu

We present a probabilistic model for point cloud generation, which is fundamental for various 3D vision tasks such as shape completion, upsampling, synthesis and data augmentation. Inspired by the diffusion process in non-equilibrium…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Shitong Luo , Wei Hu

Diffusion models are powerful generative models that map noise to data using stochastic processes. However, for many applications such as image editing, the model input comes from a distribution that is not random noise. As such, diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Linqi Zhou , Aaron Lou , Samar Khanna , Stefano Ermon

Denoising diffusion models have evolved into a state-of-the-art method for tasks in various fields, such as denoising and generation of images, text generation, or generation of synthetic data for training of other machine learning models.…

Statistics Theory · Mathematics 2026-05-11 Simon Bienewald , Lukas Trottner

Controlling memorization in diffusion models is critical for applications that require generated data to closely match the training distribution. Existing approaches mainly focus on data centric or model centric modifications, treating the…

Machine Learning · Computer Science 2026-01-30 Thuy Phuong Vu , Mai Viet Hoang Do , Minhhuy Le , Dinh-Cuong Hoang , Phan Xuan Tan

Denoising score matching (DSM) provides a way to learn data distributions by training a neural network to recover the score function, defined as the gradient of the log density, from noise-corrupted samples. Once trained, the score…

Machine Learning · Computer Science 2026-05-11 Victor Livernoche , Jie Zan , Reihaneh Rabbany

Diffusion models that can generate high-quality data from randomly sampled Gaussian noises have become the mainstream generative method in both academia and industry. Are randomly sampled Gaussian noises equally good for diffusion models?…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Zipeng Qi , Lichen Bai , Haoyi Xiong , Zeke Xie

Diffusion-based generative models are extremely effective in generating high-quality images, with generated samples often surpassing the quality of those produced by other models under several metrics. One distinguishing feature of these…

Machine Learning · Computer Science 2022-10-25 Ashwini Pokle , Zhengyang Geng , Zico Kolter

Low-light photography produces images with low signal-to-noise ratios due to limited photons. In such conditions, common approximations like the Gaussian noise model fall short, and many denoising techniques fail to remove noise…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Liying Lu , Raphaël Achddou , Sabine Süsstrunk