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In supervised learning for image denoising, usually the paired clean images and noisy images are collected or synthesised to train a denoising model. L2 norm loss or other distance functions are used as the objective function for training.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Yutong Xie , Minne Yuan , Bin Dong , Quanzheng Li

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

Drifting models train one-step generators by optimizing a kernel-induced mean-shift discrepancy between the data and model distributions, with Laplace kernels used by default in practice. At each point, this discrepancy compares the…

Machine Learning · Computer Science 2026-05-18 Chieh-Hsin Lai , Bac Nguyen , Naoki Murata , Yuhta Takida , Toshimitsu Uesaka , Yuki Mitsufuji , Stefano Ermon , Molei Tao

Our goal is to extend the denoising diffusion implicit model (DDIM) to general diffusion models~(DMs) besides isotropic diffusions. Instead of constructing a non-Markov noising process as in the original DDIM, we examine the mechanism of…

Machine Learning · Computer Science 2023-03-24 Qinsheng Zhang , Molei Tao , Yongxin Chen

Score-based diffusion models synthesize samples by reversing a stochastic process that diffuses data to noise, and are trained by minimizing a weighted combination of score matching losses. The log-likelihood of score-based diffusion models…

Machine Learning · Statistics 2021-10-22 Yang Song , Conor Durkan , Iain Murray , Stefano Ermon

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

The denoising diffusion model has recently emerged as a powerful generative technique, capable of transforming noise into meaningful data. While theoretical convergence guarantees for diffusion models are well established when the target…

Machine Learning · Computer Science 2025-03-28 Yuchen Liang , Peizhong Ju , Yingbin Liang , Ness Shroff

Transformer-based diffusion models have demonstrated remarkable performance at generating high-quality samples. However, our theoretical understanding of the reasons for this success remains limited. For instance, existing models are…

Machine Learning · Computer Science 2026-04-14 Hongkang Li , Hancheng Min , Rene Vidal

Diffusion models learn to denoise data and the trained denoiser is then used to generate new samples from the data distribution. In this paper, we revisit the diffusion sampling process and identify a fundamental cause of sample quality…

Machine Learning · Computer Science 2024-11-05 Yunshu Wu , Yingtao Luo , Xianghao Kong , Evangelos E. Papalexakis , Greg Ver Steeg

We present latent nonlinear denoising score matching (LNDSM), a novel training objective for score-based generative models that integrates nonlinear forward dynamics with the VAE-based latent SGM framework. This combination is achieved by…

Machine Learning · Statistics 2025-12-09 Kaichen Shen , Wei Zhu

We present a novel perspective on goal-conditioned reinforcement learning by framing it within the context of denoising diffusion models. Analogous to the diffusion process, where Gaussian noise is used to create random trajectories that…

Machine Learning · Computer Science 2024-10-29 Vineet Jain , Siamak Ravanbakhsh

Diffusion Probabilistic Models (DPMs) have achieved strong generative performance, yet their inductive biases remain largely implicit. In this work, we aim to build inductive biases into the training and sampling of diffusion models to…

Machine Learning · Computer Science 2025-12-11 Luca Scimeca , Thomas Jiralerspong , Berton Earnshaw , Jason Hartford , Yoshua Bengio

We propose a framework to perform Bayesian inference using conditional score-based diffusion models to solve a class of inverse problems in mechanics involving the inference of a specimen's spatially varying material properties from noisy…

With the remarkable advent of text-to-image diffusion models, image editing methods have become more diverse and continue to evolve. A promising recent approach in this realm is Delta Denoising Score (DDS) - an image editing technique based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Hyelin Nam , Gihyun Kwon , Geon Yeong Park , Jong Chul Ye

Diffusion models are state-of-the-art tools for various generative tasks. Yet training these models involves estimating high-dimensional score functions, which in principle suffers from the curse of dimensionality. It is therefore important…

Machine Learning · Computer Science 2025-09-30 Georg A. Gottwald , Shuigen Liu , Youssef Marzouk , Sebastian Reich , Xin T. Tong

Diffusion models have emerged as the principal paradigm for generative modeling across various domains. During training, they learn the score function, which in turn is used to generate samples at inference. They raise a basic yet unsolved…

Machine Learning · Computer Science 2025-10-03 Kiwhan Song , Jaeyeon Kim , Sitan Chen , Yilun Du , Sham Kakade , Vincent Sitzmann

Diffusion Models (DMs) are powerful generative models that add Gaussian noise to the data and learn to remove it. We wanted to determine which noise distribution (Gaussian or non-Gaussian) led to better generated data in DMs. Since DMs do…

Machine Learning · Computer Science 2023-04-13 Alexia Jolicoeur-Martineau , Kilian Fatras , Ke Li , Tal Kachman

Denoising Diffusion Probabilistic Models (DDPMs) have achieved impressive performance on various generation tasks. By modeling the reverse process of gradually diffusing the data distribution into a Gaussian distribution, generating a…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Zhaoyang Lyu , Xudong XU , Ceyuan Yang , Dahua Lin , Bo Dai

Denoising diffusion probabilistic models and score-matching models have proven to be very powerful for generative tasks. While these approaches have also been applied to the generation of discrete graphs, they have, so far, relied on…

Machine Learning · Computer Science 2023-08-17 Kilian Konstantin Haefeli , Karolis Martinkus , Nathanaël Perraudin , Roger Wattenhofer

Recently, Zhang et al. have proposed the Diffusion Exponential Integrator Sampler (DEIS) for fast generation of samples from Diffusion Models. It leverages the semi-linear nature of the probability flow ordinary differential equation (ODE)…

Machine Learning · Computer Science 2023-11-13 Guoxuan Xia , Duolikun Danier , Ayan Das , Stathi Fotiadis , Farhang Nabiei , Ushnish Sengupta , Alberto Bernacchia