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We propose two novel approaches to the recovery of an (approximately) sparse signal from noisy linear measurements in the case that the signal is a priori known to be non-negative and obey given linear equality constraints, such as simplex…

Information Theory · Computer Science 2015-06-17 Jeremy Vila , Philip Schniter

Graph sampling addresses the problem of selecting a node subset in a graph to collect samples, so that a K-bandlimited signal can be reconstructed in high fidelity. Assuming an independent and identically distributed (i.i.d.) noise model,…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Fen Wang , Gene Cheung , Yongchao Wang

Magnetic Resonance (MR) imaging is a diagnostic tool used in modern medicine; however, its output can be affected by motion artefacts and may be limited by equipment. This research focuses on MRI image quality enhancement using two…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Muneeba Rashid , Hina Shakir , Humaira Mehwish , Asarim Amir , Reema Qaiser Khan

Compared with traditional empirical mode decomposition (EMD) methods, variational mode decomposition (VMD) has strong theoretical foundation and high operational efficiency. The VMD method is introduced to ground penetrating radar (GPR)…

Signal Processing · Electrical Eng. & Systems 2017-12-08 Juncai Xu , Zhenzhong Shen , Qingwen Ren , Xin Xie , Zhengyu Yang

In everyday life, photographs taken with a camera often suffer from motion blur due to hand vibrations or sudden movements. This phenomenon can significantly detract from the quality of the images captured, making it an interesting…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Zhengdong Li

Recently, the application of low rank minimization to image denoising has shown remarkable denoising results which are equivalent or better than those of the existing state-of-the-art algorithms. However, due to iterative nature of low rank…

Computer Vision and Pattern Recognition · Computer Science 2015-04-27 Zahid Hussain Shamsi , Hyun Sook Oh , Dai-Gyoung Kim

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

Group-based sparse representation has shown great potential in image denoising. However, most existing methods only consider the nonlocal self-similarity (NSS) prior of noisy input image. That is, the similar patches are collected only from…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Lan Tang , Xin Liu

Speckle reduction is a longstanding topic in synthetic aperture radar (SAR) images. Many different schemes have been proposed for the restoration of intensity SAR images. Among the different possible approaches, methods based on…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Emanuele Dalsasso , Xiangli Yang , Loïc Denis , Florence Tupin , Wen Yang

Signal to Noise Ratio (SNR) is an important index for wireless communications. There are many methods for increasing SNR. In CDMA systems, spreading sequences are used. We consider the frequency-selective wide-sense-stationary…

Information Theory · Computer Science 2016-10-17 Hirofumi Tsuda , Ken Umeno

Acquired images for medical and other purposes can be affected by noise from both the equipment used in the capturing or the environment. This can have adverse effect on the information therein. Thus, the need to restore the image to its…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 E. G. Onyedinma , I. E. Onyenwe

Image super-resolution (SR) is an underdetermined inverse problem, where a large number of plausible high-resolution images can explain the same downsampled image. Most current single image SR methods use empirical risk minimisation, often…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Casper Kaae Sønderby , Jose Caballero , Lucas Theis , Wenzhe Shi , Ferenc Huszár

Unlike loose coupling approaches and the EKF-based approaches in the literature, we propose an optimization-based visual-inertial SLAM tightly coupled with raw Global Navigation Satellite System (GNSS) measurements, a first attempt of this…

Robotics · Computer Science 2021-10-26 Jinxu Liu , Wei Gao , Zhanyi Hu

Diffusion magnetic resonance imaging (dMRI) plays a vital role in both clinical diagnostics and neuroscience research. However, its inherently low signal-to-noise ratio (SNR), especially under high diffusion weighting, significantly…

Quantitative Methods · Quantitative Biology 2026-02-27 Jine Xie , Zhicheng Zhang , Yunwei Chen , Yanqiu Feng , Xinyuan Zhang

Several approximate inference algorithms have been proposed to minimize an alpha-divergence between an approximating distribution and a target distribution. Many of these algorithms introduce bias, the magnitude of which becomes problematic…

Machine Learning · Statistics 2021-10-27 Tomas Geffner , Justin Domke

We study estimation and clustering in Gaussian mixture models under variance misspecification. Observations are generated with true variance $\sigma^2$, while the component means are estimated using a likelihood with variance $\tau^2$,…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Vladimir Serov , Amnon Balanov , Tamir Bendory

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

Quarter sampling and three-quarter sampling are novel sensor concepts that enable the acquisition of higher resolution images without increasing the number of pixels. This is achieved by non-regularly covering parts of each pixel of a…

Image and Video Processing · Electrical Eng. & Systems 2022-07-01 Simon Grosche , Fabian Brand , André Kaup

Speech emotion recognition (SER) often experiences reduced performance due to background noise. In addition, making a prediction on signals with only background noise could undermine user trust in the system. In this study, we propose a…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-06 Yu-Wen Chen , Julia Hirschberg , Yu Tsao

Hard X-ray tomography with Paganin's widespread single-distance phase retrieval filter improves contrast-to-noise ratio (CNR) while reducing spatial resolution (SR). We demonstrate that a Gaussian filter provided larger CNR at high SR with…

Medical Physics · Physics 2020-01-22 Griffin Rodgers , Georg Schulz , Hans Deyhle , Willy Kuo , Christoph Rau , Timm Weitkamp , Bert Müller