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The recently developed data-driven eigenmatrix method shows very promising reconstruction accuracy in sparse recovery for a wide range of kernel functions and random sample locations. However, its current implementation can lead to…

数值分析 · 数学 2024-05-15 Koung Hee Leem , Jun Liu , George Pelekanos

Long acquisition time (AQT) due to series acquisition of multi-modality MR images (especially T2 weighted images (T2WI) with longer AQT), though beneficial for disease diagnosis, is practically undesirable. We propose a novel deep network…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Preethi Srinivasan , Prabhjot Kaur , Aditya Nigam , Arnav Bhavsar

Inverse medium scattering is an ill-posed, nonlinear wave-based imaging problem arising in medical imaging, remote sensing, and non-destructive testing. Machine learning (ML) methods offer increased inference speed and flexibility in…

The solution of inverse problems is crucial in various fields such as medicine, biology, and engineering, where one seeks to find a solution from noisy observations. These problems often exhibit non-uniqueness and ill-posedness, resulting…

数值分析 · 数学 2024-10-21 Markus Haltmeier , Richard Kowar , Markus Tiefenthaler

The Inaugural Music Source Restoration (MSR) Challenge targets the recovery of original, unprocessed stems from fully mixed and mastered music. Unlike conventional music source separation, MSR requires reversing complex production processes…

声音 · 计算机科学 2026-03-19 Xinlong Deng , Yu Xia , Jie Jiang

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

数值分析 · 数学 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

Brain source imaging is an important method for noninvasively characterizing brain activity using Electroencephalogram (EEG) or Magnetoencephalography (MEG) recordings. Traditional EEG/MEG Source Imaging (ESI) methods usually assume that…

应用统计 · 统计学 2019-06-07 Feng Liu , Li Wang , Yifei Lou , Rencang Li , Patrick Purdon

In radial fast spin-echo MRI, a set of overlapping spokes with an inconsistent T2 weighting is acquired, which results in an averaged image contrast when employing conventional image reconstruction techniques. This work demonstrates that…

医学物理 · 物理学 2016-03-02 Kai Tobias Block , Martin Uecker , Jens Frahm

Consider an inverse problem of the simultaneous recovery of boundary impedance and internal conductivity in the electrical impedance tomography (EIT) model using local internal measurement data, which is governed by a boundary value problem…

偏微分方程分析 · 数学 2025-09-22 Jinchao Pan , Jijun Liu

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

In this work we present a novel optimization strategy for image reconstruction tasks under analysis-based image regularization, which promotes sparse and/or low-rank solutions in some learned transform domain. We parameterize such…

计算机视觉与模式识别 · 计算机科学 2023-08-11 Iaroslav Koshelev , Stamatios Lefkimmiatis

A supervised learning approach is proposed for regularization of large inverse problems where the main operator is built from noisy data. This is germane to superresolution imaging via the sampling indicators of the inverse scattering…

数值分析 · 数学 2025-08-22 Fatemeh Pourahmadian , Yang Xu

Inverse problems and regularization theory is a central theme in contemporary signal processing, where the goal is to reconstruct an unknown signal from partial indirect, and possibly noisy, measurements of it. A now standard method for…

最优化与控制 · 数学 2014-12-09 Samuel Vaiter , Gabriel Peyré , Jalal M. Fadili

In this paper we extend a recent idea of formulating and regularizing inverse problems as minimization problems, so without using a forward operator, thus avoiding explicit evaluation of a parameter-to-state map. We do so by rephrasing…

数值分析 · 数学 2020-04-28 Kha Van Huynh , Barbara Kaltenbacher

In this paper, we consider a regularization strategy for the factorization method when there is noise added to the data operator. The factorization method is a qualitative method used in shape reconstruction problems. These methods are…

偏微分方程分析 · 数学 2023-04-05 Isaac Harris

Neural end-to-end TTS can generate very high-quality synthesized speech, and even close to human recording within similar domain text. However, it performs unsatisfactory when scaling it to challenging test sets. One concern is that the…

音频与语音处理 · 电气工程与系统科学 2019-07-23 Yibin Zheng , Xi Wang , Lei He , Shifeng Pan , Frank K. Soong , Zhengqi Wen , Jianhua Tao

Mind-wandering (MW), which usually defined as a lapse of attention, occurs between 20%-40% of the time, has negative effects on our daily life. Therefore, detecting when MW occurs can prevent us from those negative outcomes resulting from…

信号处理 · 电气工程与系统科学 2020-11-30 Yi-Ta Chen , Hsing-Hao Lee , Ching-Yen Shih , Zih-Ling Chen , Win-Ken Beh , Su-Ling Yeh , An-Yeu Wu

Magnetic Resonance Fingerprinting (MRF) reconstructs tissue maps based on a sequence of very highly undersampled images. In order to be able to perform MRF reconstruction, state-of-the-art MRF methods rely on priors such as the MR physics…

图像与视频处理 · 电气工程与系统科学 2020-10-20 Simon Arberet , Xiao Chen , Boris Mailhe , Peter Speier , Gregor Koerzdoerfer , Mathias Nittka , Heiko Meyer , Mariappan S. Nadar

Deep learning based reconstruction methods deliver outstanding results for solving inverse problems and are therefore becoming increasingly important. A recently invented class of learning-based reconstruction methods is the so-called NETT…

数值分析 · 数学 2021-11-16 Stephan Antholzer , Markus Haltmeier

Magnetic resonance imaging (MRI) nowadays serves as an important modality for diagnostic and therapeutic guidance in clinics. However, the {\it slow acquisition} process, the dynamic deformation of organs, as well as the need for {\it…

机器学习 · 计算机科学 2016-09-15 Morteza Mardani , Georgios B. Giannakis , Kamil Ugurbil