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This manuscript goes through the fundamental connections between statistical mechanics and estimation theory by focusing on the particular problem of compressive sensing. We first show that the asymptotic analysis of a sparse recovery…

信息论 · 计算机科学 2022-12-21 Ali Bereyhi , Ralf R. Müller , Hermann Schulz-Baldes

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

信息论 · 计算机科学 2012-05-09 Thomas Blumensath

In this paper, we consider the problem of multi-resolution compressed sensing (MR-CS) reconstruction, which has received little attention in the literature. Instead of always reconstructing the signal at the original high resolution (HR),…

信息论 · 计算机科学 2016-01-21 Xing Wang , Jie Liang

Blind Compressed Image Restoration (CIR) has garnered significant attention due to its practical applications. It aims to mitigate compression artifacts caused by unknown quality factors, particularly with JPEG codecs. Existing works on…

计算机视觉与模式识别 · 计算机科学 2024-04-29 Bingchen Li , Xin Li , Yiting Lu , Ruoyu Feng , Mengxi Guo , Shijie Zhao , Li Zhang , Zhibo Chen

The idea of compressed sensing is to exploit representations in suitable (overcomplete) dictionaries that allow to recover signals far beyond the Nyquist rate provided that they admit a sparse representation in the respective dictionary.…

计算机视觉与模式识别 · 计算机科学 2018-06-22 Michael Moeller , Otmar Loffeld , Juergen Gall , Felix Krahmer

Compressive sensing (CS) technologies present many advantages over other existing approaches for implementing wideband spectrum sensing in cognitive radios (CRs), such as reduced sampling rate and computational complexity. However, there…

信息论 · 计算机科学 2016-07-15 Jing Jiang , Hongjian Sun , David Baglee , H. Vincent Poor

Magnetic resonance imaging (MRI) is an essential medical tool with inherently slow data acquisition process. Slow acquisition process requires patient to be long time exposed to scanning apparatus. In recent years significant efforts are…

计算机视觉与模式识别 · 计算机科学 2015-03-05 Jelena Badnjar

Algorithms for signal recovery in compressed sensing (CS) are often improved by stabilization techniques, such as damping, or the less widely known so-called fractional approach, which is based on the expectation propagation (EP) framework.…

信息论 · 计算机科学 2021-10-01 Carmen Sippel , Robert F. H. Fischer

The theory of compressed sensing (CS) has been successfully applied to image compression in the past few years, whose traditional iterative reconstruction algorithm is time-consuming. However, it has been reported deep learning-based CS…

图像与视频处理 · 电气工程与系统科学 2018-04-10 Yahan Wang , Huihui Bai , Lijun Zhao , Yao Zhao

Reconstruction of images from noisy linear measurements is a core problem in image processing, for which convex optimization methods based on total variation (TV) minimization have been the long-standing state-of-the-art. We present an…

信息论 · 计算机科学 2016-08-31 Jean Barbier , Eric W. Tramel , Florent Krzakala

In compressive sensing (CS) theory, as the number of samples is decreased below a minimum threshold, the average error of the recovery increases. Sufficient sampling is either required for quality reconstruction or the error is resignedly…

信息论 · 计算机科学 2015-10-14 Miguel Dominguez , Behnaz Ghoraani , Ph. D

Integrated sensing and communication (ISAC) is a promising candidate technology for 6G due to its improvement in spectral efficiency and energy efficiency. Orthogonal frequency division multiplexing (OFDM) signal is a mainstream candidate…

信号处理 · 电气工程与系统科学 2025-08-19 Lin Wang , Zhiqing Wei , Xu Chen , Zhiyong Feng

One-bit compressed sensing (1bCS) is a method of signal acquisition under extreme measurement quantization that gives important insights on the limits of signal compression and analog-to-digital conversion. The setting is also equivalent to…

信息论 · 计算机科学 2021-05-12 Larkin Flodin , Venkata Gandikota , Arya Mazumdar

Parallel acquisition systems are employed successfully in a variety of different sensing applications when a single sensor cannot provide enough measurements for a high-quality reconstruction. In this paper, we consider compressed sensing…

信息论 · 计算机科学 2023-08-31 Il Yong Chun , Ben Adcock

Classical methods of medical image super-resolution (MISR) utilize open-loop architecture with implicit under-resolution (UR) unit and explicit super-resolution (SR) unit. The UR unit can always be given, assumed, or estimated, while the SR…

图像与视频处理 · 电气工程与系统科学 2024-03-01 Honggui Li , Nahid Md Lokman Hossain , Maria Trocan , Dimitri Galayko , Mohamad Sawan

Monte Carlo simulations of neutronic systems are computationally intensive and demand significant memory resources for high-fidelity modeling. Compressed sensing enables accurate reconstruction of signals from significantly fewer samples…

计算物理 · 物理学 2026-02-10 Ethan Lame , Camille Palmer , Todd Palmer , Ilham Variansyah

This paper proposes a verification-based decoding approach for reconstruction of a sparse signal with incremental sparse measurements. In its first step, the verification-based decoding algorithm is employed to reconstruct the signal with a…

信息论 · 计算机科学 2013-02-12 Xiaofu Wu , Zhen Yang , Lu Gan

A novel compressive-sensing based signal multiplexing scheme is proposed in this paper to further improve the multiplexing gain for multiple input multiple output (MIMO) system. At the transmitter side, a Gaussian random measurement matrix…

信息论 · 计算机科学 2016-04-05 Chanzi Liu , Qingchun Chen , Xiaohu Tang

The Zero-shot Composed Image Retrieval (ZSCIR) requires retrieving images that match the query image and the relative captions. Current methods focus on projecting the query image into the text feature space, subsequently combining them…

计算机视觉与模式识别 · 计算机科学 2024-12-03 You Li , Fan Ma , Yi Yang

Scene-aware Adaptive Compressive Sensing (ACS) has attracted significant interest due to its promising capability for efficient and high-fidelity acquisition of scene images. ACS typically prescribes adaptive sampling allocation (ASA) based…

计算机视觉与模式识别 · 计算机科学 2025-03-18 Zhifu Tian , Tao Hu , Chaoyang Niu , Di Wu , Shu Wang