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相关论文: Ground Truth Free Denoising by Optimal Transport

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Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted…

最优化与控制 · 数学 2019-05-13 Andrew M. Stuart , Marie-Therese Wolfram

To improve the performance of classical generative adversarial network (GAN), Wasserstein generative adversarial networks (W-GAN) was developed as a Kantorovich dual formulation of the optimal transport (OT) problem using Wasserstein-1…

计算机视觉与模式识别 · 计算机科学 2020-09-01 Byeongsu Sim , Gyutaek Oh , Jeongsol Kim , Chanyong Jung , Jong Chul Ye

This paper studies the problem of global optimization of zero-delay source-channel codes that map between the source space and the channel space, under a given transmission power constraint and for the mean square error distortion.…

信息论 · 计算机科学 2016-11-18 Mustafa Said Mehmetoglu , Emrah Akyol , Kenneth Rose

A flexible discriminative image denoiser is introduced in which multi-task learning methods are applied to a densoising FCN based on U-Net. The activations of the U-Net model are modified by affine transforms that are a learned function of…

图像与视频处理 · 电气工程与系统科学 2020-11-26 Anthony Kelly

We introduce a novel framework for learning in neural networks by decomposing each neuron's weight vector into two distinct parts, $W_1$ and $W_2$, thereby modeling contrastive information directly at the neuron level. Traditional gradient…

机器学习 · 计算机科学 2025-03-19 Xi Wang

Defining meaningful distances between samples in a dataset is a fundamental problem in machine learning. Optimal Transport (OT) lifts a distance between features (the "ground metric") to a geometrically meaningful distance between samples.…

机器学习 · 统计学 2022-07-20 Geert-Jan Huizing , Laura Cantini , Gabriel Peyré

Microscopy image analysis often requires the segmentation of objects, but training data for this task is typically scarce and hard to obtain. Here we propose DenoiSeg, a new method that can be trained end-to-end on only a few annotated…

计算机视觉与模式识别 · 计算机科学 2020-06-12 Tim-Oliver Buchholz , Mangal Prakash , Alexander Krull , Florian Jug

With the discovery of Wasserstein GANs, Optimal Transport (OT) has become a powerful tool for large-scale generative modeling tasks. In these tasks, OT cost is typically used as the loss for training GANs. In contrast to this approach, we…

机器学习 · 计算机科学 2022-03-08 Litu Rout , Alexander Korotin , Evgeny Burnaev

In the last few years, image denoising has benefited a lot from the fast development of neural networks. However, the requirement of large amounts of noisy-clean image pairs for supervision limits the wide use of these models. Although…

图像与视频处理 · 电气工程与系统科学 2021-04-01 Tao Huang , Songjiang Li , Xu Jia , Huchuan Lu , Jianzhuang Liu

We introduce a new method for training generative adversarial networks by applying the Wasserstein-2 metric proximal on the generators. The approach is based on Wasserstein information geometry. It defines a parametrization invariant…

机器学习 · 计算机科学 2021-02-16 Alex Tong Lin , Wuchen Li , Stanley Osher , Guido Montufar

Most of previous image denoising methods focus on additive white Gaussian noise (AWGN). However,the real-world noisy image denoising problem with the advancing of the computer vision techiniques. In order to promote the study on this…

计算机视觉与模式识别 · 计算机科学 2018-04-11 Jun Xu , Hui Li , Zhetong Liang , David Zhang , Lei Zhang

Deep learning methods have shown remarkable performance in image denoising, particularly when trained on large-scale paired datasets. However, acquiring such paired datasets for real-world scenarios poses a significant challenge. Although…

图像与视频处理 · 电气工程与系统科学 2023-08-15 Xin Lin , Chao Ren , Xiao Liu , Jie Huang , Yinjie Lei

In [DOI:10.1109/ICMEW.2014.6890711], a graph-based denoising is performed by projecting the noisy image to a lower dimensional Krylov subspace of the graph Laplacian, constructed using nonnegative weights determined by distances between…

计算机视觉与模式识别 · 计算机科学 2016-06-13 Andrew Knyazev

We propose a fully-convolutional neural-network architecture for image denoising which is simple yet powerful. Its structure allows to exploit the gradual nature of the denoising process, in which shallow layers handle local noise…

计算机视觉与模式识别 · 计算机科学 2018-10-17 Tal Remez , Or Litany , Raja Giryes , Alex M. Bronstein

We propose a family of relaxations of the optimal transport problem which regularize the problem by introducing an additional minimization step over a small region around one of the underlying transporting measures. The type of…

机器学习 · 统计学 2019-06-11 Saied Mahdian , Jose Blanchet , Peter Glynn

Recently, many self-supervised learning methods for image reconstruction have been proposed that can learn from noisy data alone, bypassing the need for ground-truth references. Most existing methods cluster around two classes: i) Stein's…

机器学习 · 统计学 2025-02-12 Julián Tachella , Mike Davies , Laurent Jacques

Deep convolutional neural networks (CNNs) for image denoising are usually trained on large datasets. These models achieve the current state of the art, but they have difficulties generalizing when applied to data that deviate from the…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Sreyas Mohan , Joshua L. Vincent , Ramon Manzorro , Peter A. Crozier , Eero P. Simoncelli , Carlos Fernandez-Granda

Supervised training has led to state-of-the-art results in image and video denoising. However, its application to real data is limited since it requires large datasets of noisy-clean pairs that are difficult to obtain. For this reason,…

图像与视频处理 · 电气工程与系统科学 2022-04-26 Valéry Dewil , Aranud Barral , Gabriele Facciolo , Pablo Arias

Tunneling spectroscopy is an important tool for the study of both real-space and momentum-space electronic structure of correlated electron systems. However, such measurements often yield noisy data. Machine learning provides techniques to…

Image enhancement approaches often assume that the noise is signal independent, and approximate the degradation model as zero-mean additive Gaussian. However, this assumption does not hold for biomedical imaging systems where sensor-based…

图像与视频处理 · 电气工程与系统科学 2023-04-10 Calvin-Khang Ta , Abhishek Aich , Akash Gupta , Amit K. Roy-Chowdhury