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The contribution of this study is twofold: First, we propose an efficient algorithm for the computation of the (weighted) maximum likelihood estimators for the parameters of the multivariate Student-$t$ distribution, which we call…

Numerical Analysis · Mathematics 2019-06-25 Friederike Laus , Gabriele Steidl

We propose Adaptive Diffusion Denoised Smoothing, a method for certifying the predictions of a vision model against adversarial examples, while adapting to the input. Our key insight is to reinterpret a guided denoising diffusion model as a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Frederick Shpilevskiy , Saiyue Lyu , Krishnamurthy Dj Dvijotham , Mathias Lécuyer , Pierre-André Noël

Deep learning is a very promising technique for low-dose computed tomography (LDCT) image denoising. However, traditional deep learning methods require paired noisy and clean datasets, which are often difficult to obtain. This paper…

Image and Video Processing · Electrical Eng. & Systems 2023-08-15 Yuting Zhu , Qiang He , Yudong Yao , Yueyang Teng

Recently, denoising methods based on supervised learning have exhibited promising performance. However, their reliance on external datasets containing noisy-clean image pairs restricts their applicability. To address this limitation,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Jaekyun Ko , Sanghwan Lee

Gaussian multiplicative noise is commonly used as a stochastic regularisation technique in training of deterministic neural networks. A recent paper reinterpreted the technique as a specific algorithm for approximate inference in Bayesian…

Machine Learning · Statistics 2017-11-09 Jiri Hron , Alexander G. de G. Matthews , Zoubin Ghahramani

Training deep neural networks has become a common approach for addressing image restoration problems. An alternative for training a "task-specific" network for each observation model is to use pretrained deep denoisers for imposing only the…

Image and Video Processing · Electrical Eng. & Systems 2024-04-16 Tomer Garber , Tom Tirer

Deep neural networks (DNNs) have achieved remarkable success across diverse domains, but their performance can be severely degraded by noisy or corrupted training data. Conventional noise mitigation methods often rely on explicit…

Machine Learning · Computer Science 2025-06-16 Deliang Jin , Gang Chen , Shuo Feng , Yufeng Ling , Haoran Zhu

Image denoising enhances image quality, serving as a foundational technique across various computational photography applications. The obstacle to clean image acquisition in real scenarios necessitates the development of self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Tong Li , Lizhi Wang , Zhiyuan Xu , Lin Zhu , Wanxuan Lu , Hua Huang

Unpaired image denoising has achieved promising development over the last few years. Regardless of the performance, methods tend to heavily rely on underlying noise properties or any assumption which is not always practical. Alternatively,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Manisha Das Chaity , Masud An Nur Islam Fahim

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

Machine Learning · Computer Science 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier

The transcriptions used to train an Automatic Speech Recognition (ASR) system may contain errors. Usually, either a quality control stage discards transcriptions with too many errors, or the noisy transcriptions are used as is. We introduce…

Computation and Language · Computer Science 2019-10-17 Adrien Dufraux , Emmanuel Vincent , Awni Hannun , Armelle Brun , Matthijs Douze

We propose a general framework for denoising high-dimensional measurements which requires no prior on the signal, no estimate of the noise, and no clean training data. The only assumption is that the noise exhibits statistical independence…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Joshua Batson , Loic Royer

At X-ray beamlines of synchrotron light sources, the achievable time-resolution for 3D tomographic imaging of the interior of an object has been reduced to a fraction of a second, enabling rapidly changing structures to be examined. The…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Marinus J. Lagerwerf , Allard A. Hendriksen , Jan-Willem Buurlage , K. Joost Batenburg

Low-light, long-exposure defocus deblurring remains a challenging problem due to the simultaneous presence of severe blur and complex biased noise. Existing methods typically rely on simplified noise assumptions, which limits their…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Ziyan Huang , Lang Wu , Hongji Wang , Yifei Liu , Dongliang Tang , Hongqiao Wang

In this paper, we propose a new self-supervised method, which is called Denoising Masked AutoEncoders (DMAE), for learning certified robust classifiers of images. In DMAE, we corrupt each image by adding Gaussian noises to each pixel value…

Computer Vision and Pattern Recognition · Computer Science 2023-03-08 Quanlin Wu , Hang Ye , Yuntian Gu , Huishuai Zhang , Liwei Wang , Di He

We derive a method to reconstruct Gaussian signals from linear measurements with Gaussian noise. This new algorithm is intended for applications in astrophysics and other sciences. The starting point of our considerations is the principle…

Instrumentation and Methods for Astrophysics · Physics 2011-10-18 Niels Oppermann , Georg Robbers , Torsten A. Ensslin

Unsupervised deraining has attracted attention for its ability to learn the real-world distribution of rain without paired supervision. However, the lack of strong constraints makes it difficult for the network to converge, especially with…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Yinghao Chen , Yeying Jin , Xiang Chen , Yanyan Wei , Ziyang Yan , Yaowen Fu

We develop a scalable algorithmic framework for sparse convex quantile regression (SCQR), addressing key computational challenges in the literature. Enhancing the classical CQR model, we introduce L2-norm regularization and an…

Optimization and Control · Mathematics 2025-09-03 Xiaoyu Luo , Chuanhou Gao

We study the problem of recovering Gaussian data under adversarial corruptions when the noises are low-rank and the corruptions are on the coordinate level. Concretely, we assume that the Gaussian noises lie in an unknown $k$-dimensional…

Data Structures and Algorithms · Computer Science 2023-11-29 Weihao Kong , Mingda Qiao , Rajat Sen

Image super-resolution and denoising are two important tasks in image processing that can lead to improvement in image quality. Image super-resolution is the task of mapping a low resolution image to a high resolution image whereas…

Computer Vision and Pattern Recognition · Computer Science 2018-09-24 Rohit Pardasani , Utkarsh Shreemali