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Diffusion models have become a leading paradigm in generative AI, with score estimation via denoising score matching as a central component. While recent theory provides strong statistical guarantees, it typically relies on…

Machine Learning · Computer Science 2026-04-21 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

Score-based generative models have demonstrated significant practical success in data-generating tasks. The models establish a diffusion process that perturbs the ground truth data to Gaussian noise and then learn the reverse process to…

Machine Learning · Computer Science 2024-05-24 Ziqing Wen , Xiaoge Deng , Ping Luo , Tao Sun , Dongsheng Li

Score-based diffusion models have significantly advanced generative deep learning for image processing. Measurement conditioned models have also been applied to inverse problems such as CT reconstruction. However, the conventional approach,…

Medical Physics · Physics 2025-02-24 Matthew Tivnan , Dufan Wu , Quanzheng Li

Score-based stochastic denoising models have recently been demonstrated as powerful machine learning tools for conditional and unconditional image generation. The existing methods are based on a forward stochastic process wherein the…

Score-based generative models (SGMs) have demonstrated remarkable synthesis quality. SGMs rely on a diffusion process that gradually perturbs the data towards a tractable distribution, while the generative model learns to denoise. The…

Machine Learning · Statistics 2022-03-28 Tim Dockhorn , Arash Vahdat , Karsten Kreis

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

We present SURE-Score: an approach for learning score-based generative models using training samples corrupted by additive Gaussian noise. When a large training set of clean samples is available, solving inverse problems via score-based…

Machine Learning · Computer Science 2025-04-23 Asad Aali , Marius Arvinte , Sidharth Kumar , Jonathan I. Tamir

Score-based diffusion models are a highly effective method for generating samples from a distribution of images. We consider scenarios where the training data comes from a noisy version of the target distribution, and present an efficiently…

Machine Learning · Statistics 2025-09-30 Dennis Elbrächter , Giovanni S. Alberti , Matteo Santacesaria

Many recent works utilize denoising score matching to optimize the conditional input of diffusion models. In this workshop paper, we demonstrate that such optimization breaks the equivalence between denoising score matching and exact score…

Machine Learning · Computer Science 2025-11-18 Tongda Xu

Feature fusion is a commonly used strategy in image retrieval tasks, which aggregates the matching responses of multiple visual features. Feasible sets of features can be either descriptors (SIFT, HSV) for an entire image or the same…

Information Retrieval · Computer Science 2018-11-01 Zhongdao Wang , Liang Zheng , Shengjin Wang

The proposed BSDE-based diffusion model represents a novel approach to diffusion modeling, which extends the application of stochastic differential equations (SDEs) in machine learning. Unlike traditional SDE-based diffusion models, our…

Machine Learning · Computer Science 2023-04-27 Zihao Wang

Discrete-time diffusion-based generative models and score matching methods have shown promising results in modeling high-dimensional image data. Recently, Song et al. (2021) show that diffusion processes that transform data into noise can…

Machine Learning · Computer Science 2021-10-01 Chin-Wei Huang , Jae Hyun Lim , Aaron Courville

Score diffusion methods can learn probability densities from samples. The score of the noise-corrupted density is estimated using a deep neural network, which is then used to iteratively transport a Gaussian white noise density to a target…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Zahra Kadkhodaie , Stéphane Mallat , Eero P. Simoncelli

Graph structures offer a versatile framework for representing diverse patterns in nature and complex systems, applicable across domains like molecular chemistry, social networks, and transportation systems. While diffusion models have…

Machine Learning · Computer Science 2024-06-10 Adrien Carrel

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

Score-based generative models have recently achieved remarkable success. While they are usually parameterized by the score, an alternative way is to use a series of time-dependent energy-based models (EBMs), where the score is obtained from…

Machine Learning · Statistics 2026-05-22 RuiKang OuYang , Louis Grenioux , José Miguel Hernández-Lobato

Diffusion models are widely used in applications ranging from image generation to inverse problems. However, training diffusion models typically requires clean ground-truth images, which are unavailable in many applications. We introduce…

Image and Video Processing · Electrical Eng. & Systems 2025-05-20 Chicago Y. Park , Shirin Shoushtari , Hongyu An , Ulugbek S. Kamilov

We propose closed-form conditional diffusion models for data assimilation. Diffusion models use data to learn the score function (defined as the gradient of the log-probability density of a data distribution), allowing them to generate new…

Machine Learning · Statistics 2026-04-02 Brianna Binder , Agnimitra Dasgupta , Assad Oberai

Score-based generative models (SGMs) have recently emerged as a promising class of generative models. However, a fundamental limitation is that their inference is very slow due to a need for many (e.g., 2000) iterations of sequential…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Hengyuan Ma , Li Zhang , Xiatian Zhu , Jianfeng Feng

Score-based generative models can produce high quality image samples comparable to GANs, without requiring adversarial optimization. However, existing training procedures are limited to images of low resolution (typically below 32x32), and…

Machine Learning · Computer Science 2020-10-27 Yang Song , Stefano Ermon