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This paper revisits two prominent adaptive filtering algorithms, namely recursive least squares (RLS) and equivariant adaptive source separation (EASI), through the lens of algorithm unrolling. Building upon the unrolling methodology, we…

信号处理 · 电气工程与系统科学 2023-11-17 Zahra Esmaeilbeig , Mojtaba Soltanalian

We address the problem of image denoising in additive white noise without placing restrictive assumptions on its statistical distribution. In the recent literature, specific noise distributions have been considered and correspondingly,…

计算机视觉与模式识别 · 计算机科学 2015-01-28 Sagar Venkatesh Gubbi , Chandra Sekhar Seelamantula

Supervised deep learning methods have shown promise for large-scale channel estimation (LCE), but their reliance on ground-truth channel labels greatly limits their practicality in real-world systems. In this paper, we propose an…

信号处理 · 电气工程与系统科学 2025-08-15 Haotian Tian , Lixiang Lian

Undersampling the k-space in MRI allows saving precious acquisition time, yet results in an ill-posed inversion problem. Recently, many deep learning techniques have been developed, addressing this issue of recovering the fully sampled MR…

图像与视频处理 · 电气工程与系统科学 2020-07-28 Mélanie Gaillochet , Kerem C. Tezcan , Ender Konukoglu

There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

图像与视频处理 · 电气工程与系统科学 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

Using integration by parts on Gaussian space we construct a Stein Unbiased Risk Estimator (SURE) for the drift of Gaussian processes using their local and occupation times. By almost-sure minimization of the SURE risk of shrinkage…

统计理论 · 数学 2009-02-23 Nicolas Privault , Anthony Réveillac

The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

图像与视频处理 · 电气工程与系统科学 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao

Given a collection of observed signals corrupted with Gaussian noise, how can we learn to optimally denoise them? This fundamental problem arises in both empirical Bayes and generative modeling. In empirical Bayes, the predominant approach…

统计理论 · 数学 2025-09-25 Sulagna Ghosh , Nikolaos Ignatiadis , Frederic Koehler , Amber Lee

Convolutional neural networks (CNNs) apply well with food image recognition due to the ability to learn discriminative visual features. Nevertheless, recognizing distorted images is challenging for existing CNNs. Hence, the study modelled a…

计算机视觉与模式识别 · 计算机科学 2022-06-14 Ghalib Ahmed Tahir , Chu Kiong Loo , Zongying Liu

Magnetic Resonance Imaging (MRI) scans are time consuming and precarious, since the patients remain still in a confined space for extended periods of time. To reduce scanning time, some experts have experimented with undersampled k spaces,…

图像与视频处理 · 电气工程与系统科学 2022-08-25 Kyler Larsen , Arghya Pal , Yogesh Rathi

Recently developed deep-learning-based denoisers often outperform state-of-the-art conventional denoisers such as the BM3D. They are typically trained to minimize the mean squared error (MSE) between the output image of a deep neural…

计算机视觉与模式识别 · 计算机科学 2021-04-23 Shakarim Soltanayev , Se Young Chun

Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the…

计算机视觉与模式识别 · 计算机科学 2020-12-01 Riccardo Barbano , Željko Kereta , Chen Zhang , Andreas Hauptmann , Simon Arridge , Bangti Jin

Deep learning methods are highly effective for many image reconstruction tasks. However, the performance of supervised learned models can degrade when applied to distinct experimental settings at test time or in the presence of distribution…

图像与视频处理 · 电气工程与系统科学 2024-12-30 Shijun Liang , Evan Bell , Avrajit Ghosh , Saiprasad Ravishankar

Parallel imaging accelerates MRI data acquisition by acquiring additional sensitivity information with an array of receiver coils, resulting in fewer phase encoding steps. Because of fewer data requirements than parallel imaging, compressed…

图像与视频处理 · 电气工程与系统科学 2022-12-20 Farhan Sadik , Md. Kamrul Hasan

Due to inevitable noises introduced during scanning and quantization, 3D reconstruction via RGB-D sensors suffers from errors both in geometry and texture, leading to artifacts such as camera drifting, mesh distortion, texture ghosting, and…

计算机视觉与模式识别 · 计算机科学 2022-09-13 Jingbo Zhang , Ziyu Wan , Jing Liao

The generalization performance of a machine learning algorithm such as a neural network depends in a non-trivial way on the structure of the data distribution. To analyze the influence of data structure on test loss dynamics, we study an…

机器学习 · 统计学 2022-03-16 Blake Bordelon , Cengiz Pehlevan

In recent decades, statisticians have been increasingly encountering spatial data that exhibit non-Gaussian behaviors such as asymmetry and heavy-tailedness. As a result, the assumptions of symmetry and fixed tail weight in Gaussian…

机器学习 · 统计学 2024-12-03 Kesen Wang , Marc G. Genton

Though deep neural networks have achieved impressive success on various vision tasks, obvious performance degradation still exists when models are tested in out-of-distribution scenarios. In addressing this limitation, we ponder that the…

计算机视觉与模式识别 · 计算机科学 2023-01-18 Xiaotong Li , Zixuan Hu , Jun Liu , Yixiao Ge , Yongxing Dai , Ling-Yu Duan

Estimating the generalization error (GE) of machine learning models is fundamental, with resampling methods being the most common approach. However, in non-standard settings, particularly those where observations are not independently and…

Learning a Gaussian Mixture Model (GMM) is hard when the number of parameters is too large given the amount of available data. As a remedy, we propose restricting the GMM to a Gaussian Markov Random Field Mixture Model (GMRF-MM), as well as…

机器学习 · 计算机科学 2022-01-25 Shahaf E. Finder , Eran Treister , Oren Freifeld