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Score-based generative modeling (SGM) has grown to be a hugely successful method for learning to generate samples from complex data distributions such as that of images and audio. It is based on evolving an SDE that transforms white noise…

Machine Learning · Computer Science 2022-10-04 Holden Lee , Jianfeng Lu , Yixin Tan

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

Machine Learning · Computer Science 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

Diffusion models, today's leading image generative models, estimate the score function, i.e. the gradient of the log probability of (perturbed) data samples, without direct access to the underlying probability distribution. This work…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Jonathan Brokman , Itay Gershon , Amit Giloni , Omer Hofman , Roman Vainshtein , Hisashi Kojima , Guy Gilboa

We propose a new reinforcement learning (RL) formulation for training continuous-time score-based diffusion models for generative AI to generate samples that maximize reward functions while keeping the generated distributions close to the…

Machine Learning · Computer Science 2025-08-12 Xuefeng Gao , Jiale Zha , Xun Yu Zhou

Diffusion models play a pivotal role in contemporary generative modeling, claiming state-of-the-art performance across various domains. Despite their superior sample quality, mainstream diffusion-based stochastic samplers like DDPM often…

Machine Learning · Statistics 2024-10-08 Yuchen Wu , Yuxin Chen , Yuting Wei

Recently, score-based diffusion models have shown satisfactory performance in MRI reconstruction. Most of these methods require a large amount of fully sampled MRI data as a training set, which, sometimes, is difficult to acquire in…

Image and Video Processing · Electrical Eng. & Systems 2022-09-05 Zhuo-Xu Cui , Chentao Cao , Shaonan Liu , Qingyong Zhu , Jing Cheng , Haifeng Wang , Yanjie Zhu , Dong Liang

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Score-based diffusion models generate samples from a complex underlying data distribution by time-reversal of a diffusion process and represent the state-of-the-art in many generative AI applications. Here, I show how a generative diffusion…

Statistical Mechanics · Physics 2025-09-03 Adrian Baule

We present a mechanism to steer the sampling diversity of denoising diffusion and flow matching models, allowing users to sample from a sharper or broader distribution than the training distribution. We build on the observation that these…

Machine Learning · Computer Science 2026-05-26 Yanbo Xu , Yu Wu , Sungjae Park , Zhizhuo Zhou , Shubham Tulsiani

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

Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

Diffusion models (DMs) are a class of generative machine learning methods that sample a target distribution by transforming samples of a trivial (often Gaussian) distribution using a learned stochastic differential equation. In standard…

Statistical Mechanics · Physics 2024-08-15 Luke Causer , Grant M. Rotskoff , Juan P. Garrahan

Generative models such as diffusion models have achieved remarkable success in state-of-the-art image and text tasks. Recently, score-based diffusion models have extended their success beyond image generation, showing competitive…

Machine Learning · Computer Science 2024-11-27 Jia Jun Cheng Xian , Sadegh Mahdavi , Renjie Liao , Oliver Schulte

We introduce a score-based generative sampling method for solving the nonlinear filtering problem with robust accuracy. A major drawback of existing nonlinear filtering methods, e.g., particle filters, is the low stability. To overcome this…

Optimization and Control · Mathematics 2023-06-16 Feng Bao , Zezhong Zhang , Guannan Zhang

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Diffusion models have emerged as a pivotal advancement in generative models, setting new standards to the quality of the generated instances. In the current paper we aim to underscore a discrepancy between conventional training methods and…

Machine Learning · Computer Science 2023-11-03 Niket Patel , Luis Salamanca , Luis Barba

Score-based diffusion models have emerged as one of the most promising frameworks for deep generative modelling, due to their state-of-the art performance in many generation tasks while relying on mathematical foundations such as stochastic…

Machine Learning · Computer Science 2023-11-28 Teo Deveney , Jan Stanczuk , Lisa Maria Kreusser , Chris Budd , Carola-Bibiane Schönlieb

Diffusion-based generative models are machine learning models that use diffusion processes to learn the probability distribution of high-dimensional data. In recent years, they have become extremely successful in generating multimedia…

Disordered Systems and Neural Networks · Physics 2025-02-12 Stefano Bae , Enzo Marinari , Federico Ricci-Tersenghi

Diffusion models have achieved remarkable success in generative modeling. Despite more stable training, the loss of diffusion models is not indicative of absolute data-fitting quality, since its optimal value is typically not zero but…

Machine Learning · Computer Science 2026-04-17 Yixian Xu , Shengjie Luo , Liwei Wang , Di He , Chang Liu

We investigate Gaussian Universality for data distributions generated via diffusion models. By Gaussian Universality we mean that the test error of a generalized linear model $f(\mathbf{W})$ trained for a classification task on the…

Machine Learning · Statistics 2025-09-30 Reza Ghane , Anthony Bao , Danil Akhtiamov , Babak Hassibi
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