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We provide a clarification of the description of Langevin diffusions on Riemannian manifolds and of the measure underlying the invariant density. As a result we propose a new position-dependent Metropolis-adjusted Langevin algorithm (MALA)…

Methodology · Statistics 2014-08-15 Tatiana Xifara , Chris Sherlock , Samuel Livingstone , Simon Byrne , Mark Girolami

Diffusion models (DMs) have achieved state-of-the-art results for image synthesis tasks as well as density estimation. Applied in the latent space of a powerful pretrained autoencoder (LDM), their immense computational requirements can be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Jeremias Traub

Noise is one of the primary sources of interference in seismic exploration. Many authors have proposed various methods to remove noise from seismic data; however, in the face of strong noise conditions, satisfactory results are often not…

Geophysics · Physics 2024-04-04 Junheng Peng , Yong Li , Yingtian Liu , Zhangquan Liao

Remote sensing image change description represents an innovative multimodal task within the realm of remote sensing processing.This task not only facilitates the detection of alterations in surface conditions, but also provides…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Dongwei Sun , Jing Yao , Wu Xue , Changsheng Zhou , Pedram Ghamisi , Xiangyong Cao

We derive a minimalist but powerful deterministic denoising-diffusion model. While denoising diffusion has shown great success in many domains, its underlying theory remains largely inaccessible to non-expert users. Indeed, an understanding…

Graphics · Computer Science 2023-05-08 Eric Heitz , Laurent Belcour , Thomas Chambon

Guidance serves as a key concept in diffusion models, yet its effectiveness is often limited by the need for extra data annotation or classifier pretraining. That is why guidance was harnessed from self-supervised learning backbones, like…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Vincent Tao Hu , Yunlu Chen , Mathilde Caron , Yuki M. Asano , Cees G. M. Snoek , Bjorn Ommer

Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized…

Machine Learning · Statistics 2026-05-19 Grigory Bartosh , Teodora Pandeva , Sushrut Karmalkar , Javier Zazo

Denoising diffusion models are a class of generative models which have recently achieved state-of-the-art results across many domains. Gradual noise is added to the data using a diffusion process, which transforms the data distribution into…

Machine Learning · Statistics 2024-06-28 Francisco Vargas , Teodora Reu , Anna Kerekes , Michael M Bronstein

Recent progress in imitation learning has been enabled by policy architectures that scale to complex visuomotor tasks, multimodal distributions, and large datasets. However, these methods often rely on learning from large amount of expert…

Robotics · Computer Science 2025-04-24 Amber Xie , Oleh Rybkin , Dorsa Sadigh , Chelsea Finn

Whereas diverse variations of diffusion models exist, extending the linear diffusion into a nonlinear diffusion process is investigated by very few works. The nonlinearity effect has been hardly understood, but intuitively, there would be…

Machine Learning · Computer Science 2022-10-14 Dongjun Kim , Byeonghu Na , Se Jung Kwon , Dongsoo Lee , Wanmo Kang , Il-Chul Moon

Generative models such as Generative Adversarial Networks (GANs) and Variational Auto-Encoders (VAEs) are widely utilized to model the generative process of user interactions. However, these generative models suffer from intrinsic…

Information Retrieval · Computer Science 2025-06-26 Wenjie Wang , Yiyan Xu , Fuli Feng , Xinyu Lin , Xiangnan He , Tat-Seng Chua

Despite their success in image generation, diffusion models can memorize training data, raising serious privacy and copyright concerns. Although prior work has sought to characterize, detect, and mitigate memorization, the fundamental…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Juyeop Kim , Songkuk Kim , Jong-Seok Lee

Generative adversarial networks (GANs) are challenging to train stably, and a promising remedy of injecting instance noise into the discriminator input has not been very effective in practice. In this paper, we propose Diffusion-GAN, a…

Machine Learning · Computer Science 2023-08-29 Zhendong Wang , Huangjie Zheng , Pengcheng He , Weizhu Chen , Mingyuan Zhou

Diffusion models, which convert noise into new data instances by learning to reverse a Markov diffusion process, have become a cornerstone in contemporary generative modeling. While their practical power has now been widely recognized, the…

Machine Learning · Statistics 2024-03-08 Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi

Learning from observation (LfO) aims to imitate experts by learning from state-only demonstrations without requiring action labels. Existing adversarial imitation learning approaches learn a generator agent policy to produce state…

Machine Learning · Computer Science 2024-10-10 Bo-Ruei Huang , Chun-Kai Yang , Chun-Mao Lai , Dai-Jie Wu , Shao-Hua Sun

Diffusion models have achieved great success in modeling continuous data modalities such as images, audio, and video, but have seen limited use in discrete domains such as language. Recent attempts to adapt diffusion to language have…

Computation and Language · Computer Science 2023-11-08 Justin Lovelace , Varsha Kishore , Chao Wan , Eliot Shekhtman , Kilian Q. Weinberger

Diffusion models have shown superior performance on unsupervised anomaly detection tasks. Since trained with normal data only, diffusion models tend to reconstruct normal counterparts of test images with certain noises added. However, these…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Hang Yao , Ming Liu , Haolin Wang , Zhicun Yin , Zifei Yan , Xiaopeng Hong , Wangmeng Zuo

Diffusion models create data from noise by inverting the forward paths of data towards noise and have emerged as a powerful generative modeling technique for high-dimensional, perceptual data such as images and videos. Rectified flow is a…

Diffusion models have achieved remarkable image generation quality surpassing previous generative models. However, a notable limitation of diffusion models, in comparison to GANs, is their difficulty in smoothly interpolating between two…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Kaiwen Zhang , Yifan Zhou , Xudong Xu , Xingang Pan , Bo Dai

The past few years have witnessed substantial advances in image generation powered by diffusion models. However, it was shown that diffusion models are susceptible to training data memorization, raising significant concerns regarding…

Cryptography and Security · Computer Science 2025-08-01 Zhe Ma , Qingming Li , Xuhong Zhang , Tianyu Du , Ruixiao Lin , Zonghui Wang , Shouling Ji , Wenzhi Chen