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We derive an information-theoretic lower bound for sample complexity in sparse recovery problems where inputs can be chosen sequentially and adaptively. This lower bound is in terms of a simple mutual information expression and unifies many…

Information Theory · Computer Science 2014-04-30 Cem Aksoylar , Venkatesh Saligrama

We prove that iid random vectors that satisfy a rather weak moment assumption can be used as measurement vectors in Compressed Sensing, and the number of measurements required for exact reconstruction is the same as the best possible…

Statistics Theory · Mathematics 2016-02-22 Guillaume Lecué , Shahar Mendelson

Designing sparse sampling strategies is one of the important components in having resilient estimation and control in networked systems as they make network design problems more cost-effective due to their reduced sampling requirements and…

Systems and Control · Computer Science 2019-07-22 Hossein K. Mousavi , Qiyu Sun , Nader Motee

Digital cameras consume ~0.1 microjoule per pixel to capture and encode video, resulting in a power usage of ~20W for a 4K sensor operating at 30 fps. Imagining gigapixel cameras operating at 100-1000 fps, the current processing model is…

Computer Vision and Pattern Recognition · Computer Science 2025-09-11 Miao Cao , Siming Zheng , Lishun Wang , Ziyang Chen , David Brady , Xin Yuan

Computed Tomography (CT) technology reduces radiation haz-ards to the human body through sparse sampling, but fewer sampling angles pose challenges for image reconstruction. Score-based generative models are widely used in sparse-view CT…

Image and Video Processing · Electrical Eng. & Systems 2025-12-22 Junyan Zhang , Mengxiao Geng , Pinhuang Tan , Yi Liu , Zhili Liu , Bin Huang , Qiegen Liu

Unsupervised medical anomaly detection is severely limited by the scarcity of normal training samples. Existing methods typically train dedicated models for each dataset or disease, requiring hundreds of normal images per task and lacking…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Ning Zhu

In a structural health monitoring (SHM) system that uses digital cameras to monitor cracks of structural surfaces, techniques for reliable and effective data compression are essential to ensure a stable and energy efficient crack images…

Image and Video Processing · Electrical Eng. & Systems 2020-07-15 Yong Huang , Haoyu Zhang , Hui Li , Stephen Wu

Recent research has explored using neural networks to reconstruct undersampled magnetic resonance imaging (MRI) data. Because of the complexity of the artifacts in the reconstructed images, there is a need to develop task-based approaches…

Image and Video Processing · Electrical Eng. & Systems 2022-10-25 Joshua D. Herman , Rachel E. Roca , Alexandra G. O'Neill , Marcus L. Wong , Sajan G. Lingala , Angel R. Pineda

We went below the MRI acceleration factors (a.k.a., k-space undersampling) reported by all published papers that reference the original fastMRI challenge, and then considered powerful deep learning based image enhancement methods to…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Aleksandr Belov , Joel Stadelmann , Sergey Kastryulin , Dmitry V. Dylov

The compressive sensing (CS) scheme exploits much fewer measurements than suggested by the Nyquist-Shannon sampling theorem to accurately reconstruct images, which has attracted considerable attention in the computational imaging community.…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Zhiyuan Zha , Bihan Wen , Xin Yuan , Saiprasad Ravishankar , Jiantao Zhou , Ce Zhu

Dose reduction in computed tomography (CT) is essential for decreasing radiation risk in clinical applications. Iterative reconstruction is one of the most promising ways to compensate for the increased noise due to reduction of photon…

Image and Video Processing · Electrical Eng. & Systems 2021-03-24 Zhuonan He , Yikun Zhang , Yu Guan , Shanzhou Niu , Yi Zhang , Yang Chen , Qiegen Liu

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu

Integrating sphere (IS) techniques combined with an inverse adding doubling (IAD) algorithm have been widely used for determination of optical properties of ex vivo tissues. Semi-infinite samples are required in such cases. The aim of this…

Depth acquisition, based on active illumination, is essential for autonomous and robotic navigation. LiDARs (Light Detection And Ranging) with mechanical, fixed, sampling templates are commonly used in today's autonomous vehicles. An…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Adam Wolff , Shachar Praisler , Ilya Tcenov , Guy Gilboa

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

Image and Video Processing · Electrical Eng. & Systems 2022-05-20 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

Adaptive thresholding methods have proved to yield high SNRs and fast convergence in finding the solution to the Compressed Sensing (CS) problems. Recently, it was observed that the robustness of a class of iterative sparse recovery…

Methodology · Statistics 2016-11-08 Ashkan Esmaeili , Ehsan Asadi , Farokh Marvasti

Image super-resolution (SR) has witnessed extensive neural network designs from CNN to transformer architectures. However, prevailing SR models suffer from prohibitive memory footprint and intensive computations, which limits further…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Jiamian Wang , Huan Wang , Yulun Zhang , Yun Fu , Zhiqiang Tao

Reducing acquisition time is of fundamental importance in various imaging modalities. The concept of variable density sampling provides a nice framework to achieve this. It was justified recently from a theoretical point of view in the…

Information Theory · Computer Science 2014-01-29 Claire Boyer , Pierre Weiss , Jérémie Bigot

Compressed Sensing MRI (CS-MRI) aims at reconstructing de-aliased images from sub-Nyquist sampling k-space data to accelerate MR Imaging, thus presenting two basic issues, i.e., where to sample and how to reconstruct. To deal with both…

Image and Video Processing · Electrical Eng. & Systems 2022-07-27 Jingfen Xie , Jian Zhang , Yongbing Zhang , Xiangyang Ji

Manifold amount of video data gets generated every minute as we read this document, ranging from surveillance to broadcasting purposes. There are two roadblocks that restrain us from using this data as such, first being the storage which…

Computer Vision and Pattern Recognition · Computer Science 2019-07-10 Sathyaprakash Narayanan , Yeshwanth Bethi , Chetan Singh Thakur
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