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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

Recent advances in generative models have made exploring design spaces easier for de novo molecule generation. However, popular generative models like GANs and normalizing flows face challenges such as training instabilities due to…

Diffusion Probabilistic Models stand as a critical tool in generative modelling, enabling the generation of complex data distributions. This family of generative models yields record-breaking performance in tasks such as image synthesis,…

Sampling from diffusion models can be treated as solving the corresponding ordinary differential equations (ODEs), with the aim of obtaining an accurate solution with as few number of function evaluations (NFE) as possible. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Zhenyu Zhou , Defang Chen , Can Wang , Chun Chen

Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang

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

This paper explores the use of score-based diffusion models for Bayesian image reconstruction. Diffusion models are an efficient tool for generative modeling. Diffusion models can also be used for solving image reconstruction problems. We…

Image and Video Processing · Electrical Eng. & Systems 2025-10-06 Michael T. McCann , Hyungjin Chung , Jong Chul Ye , Marc L. Klasky

Diffusion Models have shown remarkable proficiency in image and video synthesis. As model size and latency increase limit user experience, hybrid edge-cloud collaborative framework was recently proposed to realize fast inference and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Jiajian Xie , Shengyu Zhang , Zhou Zhao , Fan Wu , Fei Wu

We introduce a novel class of score-based diffusion processes that operate directly in the representation space of Lie groups. Leveraging the framework of Generalized Score Matching, we derive a class of Langevin dynamics that decomposes as…

Machine Learning · Computer Science 2025-10-28 Marco Bertolini , Tuan Le , Djork-Arné Clevert

Diffusion models have shown promising results for a wide range of generative tasks with continuous data, such as image and audio synthesis. However, little progress has been made on using diffusion models to generate discrete symbolic music…

Sound · Computer Science 2023-10-24 Jincheng Zhang , György Fazekas , Charalampos Saitis

Overparameterized stochastic differential equation (SDE) models have achieved remarkable success in various complex environments, such as PDE-constrained optimization, stochastic control and reinforcement learning, financial engineering,…

Optimization and Control · Mathematics 2024-09-27 Shengbo Wang , Jose Blanchet , Peter Glynn

Score-based generative models (SGMs) need to approximate the scores $\nabla \log p_t$ of the intermediate distributions as well as the final distribution $p_T$ of the forward process. The theoretical underpinnings of the effects of these…

Machine Learning · Statistics 2022-10-18 Jakiw Pidstrigach

We provide theoretical convergence guarantees for score-based generative models (SGMs) such as denoising diffusion probabilistic models (DDPMs), which constitute the backbone of large-scale real-world generative models such as DALL$\cdot$E…

Machine Learning · Computer Science 2023-04-18 Sitan Chen , Sinho Chewi , Jerry Li , Yuanzhi Li , Adil Salim , Anru R. Zhang

This paper presents a novel method to generate textures for 3D models given text prompts and 3D meshes. Additional depth information is taken into account to perform the Score Distillation Sampling (SDS) process with depth conditional…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Cindy Le , Congrui Hetang , Chendi Lin , Ang Cao , Yihui He

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

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

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

Score-based generative models (SGMs) are generative models that are in the spotlight these days. Time-series frequently occurs in our daily life, e.g., stock data, climate data, and so on. Especially, time-series forecasting and…

Machine Learning · Computer Science 2023-01-23 Haksoo Lim , Minjung Kim , Sewon Park , Noseong Park

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

Diffusion models have significantly advanced the state of the art in image, audio, and video generation tasks. However, their applications in practical scenarios are hindered by slow inference speed. Drawing inspiration from the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Chen Xu , Tianhui Song , Weixin Feng , Xubin Li , Tiezheng Ge , Bo Zheng , Limin Wang
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