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The first order derivative of a data density can be estimated efficiently by denoising score matching, and has become an important component in many applications, such as image generation and audio synthesis. Higher order derivatives…

Machine Learning · Computer Science 2021-11-09 Chenlin Meng , Yang Song , Wenzhe Li , Stefano Ermon

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 models, trained with denoising score matching, are remarkably effective in generating high dimensional data. However, the high variance of their training objective hinders optimisation. We attempt to reduce it with a control…

Machine Learning · Computer Science 2024-08-23 Paul Jeha , Will Grathwohl , Michael Riis Andersen , Carl Henrik Ek , Jes Frellsen

We present a method for audio denoising that combines processing done in both the time domain and the time-frequency domain. Given a noisy audio clip, the method trains a deep neural network to fit this signal. Since the fitting is only…

Sound · Computer Science 2020-06-11 Michael Michelashvili , Lior Wolf

Denoising diffusion models have been a mainstream approach for image generation, however, training these models often suffers from slow convergence. In this paper, we discovered that the slow convergence is partly due to conflicting…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Tiankai Hang , Shuyang Gu , Chen Li , Jianmin Bao , Dong Chen , Han Hu , Xin Geng , Baining Guo

We study the problem of few-shot learning-based denoising where the training set contains just a handful of clean and noisy samples. A solution to mitigate the small training set issue is to pre-train a denoising model with small training…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Leslie Casas , Attila Klimmek , Gustavo Carneiro , Nassir Navab , Vasileios Belagiannis

We consider the problem of estimating a low-rank matrix from a noisy observed matrix. Previous work has shown that the optimal method depends crucially on the choice of loss function. In this paper, we use a family of weighted loss…

Statistics Theory · Mathematics 2021-04-08 William Leeb

Time series self-supervised learning (SSL) aims to exploit unlabeled data for pre-training to mitigate the reliance on labels. Despite the great success in recent years, there is limited discussion on the potential noise in the time series,…

Machine Learning · Computer Science 2024-06-10 Shuang Zhou , Daochen Zha , Xiao Shen , Xiao Huang , Rui Zhang , Fu-Lai Chung

We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

Machine Learning · Computer Science 2023-09-21 Song Mei , Yuchen Wu

Imperfect score-matching leads to a shift between the training and the sampling distribution of diffusion models. Due to the recursive nature of the generation process, errors in previous steps yield sampling iterates that drift away from…

Machine Learning · Computer Science 2023-02-20 Giannis Daras , Yuval Dagan , Alexandros G. Dimakis , Constantinos Daskalakis

Seismic data denoising is an important part of seismic data processing, which directly relate to the follow-up processing of seismic data. In terms of this issue, many authors proposed many methods based on rank reduction, sparse…

Geophysics · Physics 2024-08-27 Xueting Yang , Yong Li , Zhangquan Liao , Yingtian Liu , Junheng Peng

Score-based generative models achieve state-of-the-art sampling performance by denoising a distribution perturbed by Gaussian noise. In this paper, we focus on a single deterministic denoising step, and compare the optimal denoiser for the…

Machine Learning · Computer Science 2026-03-18 Eliot Beyler , Francis Bach

Conditional diffusion models have shown remarkable performance in various generative tasks, but training them requires large-scale datasets that often contain noise in conditional inputs, a.k.a. noisy labels. This noise leads to condition…

Machine Learning · Computer Science 2024-02-28 Byeonghu Na , Yeongmin Kim , HeeSun Bae , Jung Hyun Lee , Se Jung Kwon , Wanmo Kang , Il-Chul Moon

We propose a novel approach to video anomaly detection: we treat feature vectors extracted from videos as realizations of a random variable with a fixed distribution and model this distribution with a neural network. This lets us estimate…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Jakub Micorek , Horst Possegger , Dominik Narnhofer , Horst Bischof , Mateusz Kozinski

In tracking of time-varying low-rank models of time-varying matrices, we present a method robust to both uniformly-distributed measurement noise and arbitrarily-distributed ``sparse'' noise. In theory, we bound the tracking error. In…

Optimization and Control · Mathematics 2020-02-05 Albert Akhriev , Jakub Marecek , Andrea Simonetto

Image classification and denoising suffer from complementary issues of lack of robustness or partially ignoring conditioning information. We argue that they can be alleviated by unifying both tasks through a model of the joint probability…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Louis Thiry , Florentin Guth

Generative models based on denoising diffusion techniques have led to an unprecedented increase in the quality and diversity of imagery that is now possible to create with neural generative models. However, most contemporary…

Machine Learning · Computer Science 2022-11-24 Vikram Voleti , Christopher Pal , Adam Oberman

Diffusion models are gaining widespread use in cutting-edge image, video, and audio generation. Score-based diffusion models stand out among these methods, necessitating the estimation of score function of the input data distribution. In…

Machine Learning · Computer Science 2024-05-24 Fangzhao Zhang , Mert Pilanci

Soft targets combined with the cross-entropy loss have shown to improve generalization performance of deep neural networks on supervised classification tasks. The standard cross-entropy loss however assumes data to be categorically…

Machine Learning · Computer Science 2024-07-16 Johannes Hugger , Virginie Uhlmann

In recent years, denoising diffusion models have become a crucial area of research due to their abundance in the rapidly expanding field of generative AI. While recent statistical advances have delivered explanations for the generation…

Statistics Theory · Mathematics 2026-03-04 Asbjørn Holk , Claudia Strauch , Lukas Trottner
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