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In this paper, we consider deep neural networks for solving inverse problems that are robust to forward model mis-specifications. Specifically, we treat sensing problems with model mismatch where one wishes to recover a sparse…

Machine Learning · Computer Science 2021-10-22 Wei Pu , Chao Zhou , Yonina C. Eldar , Miguel R. D. Rodrigues

In this paper, we propose an image compression algorithm called Microshift. We employ an algorithm hardware co-design methodology, yielding a hardware-friendly compression approach with low power consumption. In our method, the image is…

Image and Video Processing · Electrical Eng. & Systems 2021-04-21 Bo Zhang , Pedro V. Sander , Chi-Ying Tsui , Amine Bermak

The Steered Mixture of Experts regression framework has demonstrated strong performance in image reconstruction, compression, denoising, and super-resolution. However, its high computational cost limits practical applications. This work…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Yi-Hsin Li , Mårten Sjöström , Sebastian Knorr , Thomas Sikora

While deep neural networks have achieved impressive success in image compressive sensing (CS), most of them lack flexibility when dealing with multi-ratio tasks and multi-scene images in practical applications. To tackle these challenges,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Di You , Jingfen Xie , Jian Zhang

Hyperspectral Imaging comprises excessive data consequently leading to significant challenges for data processing, storage and transmission. Compressive Sensing has been used in the field of Hyperspectral Imaging as a technique to compress…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Jon Alvarez Justo , Daniela Lupu , Milica Orlandic , Ion Necoara , Tor Arne Johansen

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.…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 Michael Moeller , Otmar Loffeld , Juergen Gall , Felix Krahmer

The integral image, an intermediate image representation, has found extensive use in multi-scale local feature detection algorithms, such as Speeded-Up Robust Features (SURF), allowing fast computation of rectangular features at constant…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Naveed ur Rehman , Klaus D. McDonald-Maier

Tomographic SAR technique has attracted remarkable interest for its ability of three-dimensional resolving along the elevation direction via a stack of SAR images collected from different cross-track angles. The emerged compressed sensing…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Muhan Wang , Zhe Zhang , Xiaolan Qiu , Silin Gao , Yue Wang

Face recognition is the very significant field in pattern recognition area. It has multiple applications in military and finance, to name a few. In this paper, the combination of the sparse PCA with the nearest-neighbor method (and with the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Loc Hoang Tran , Tuan Tran , An Mai

We present a new recovery analysis for a standard compressed sensing algorithm, Iterative Hard Thresholding (IHT) (Blumensath and Davies, 2008), which considers the fixed points of the algorithm. In the context of arbitrary measurement…

Numerical Analysis · Mathematics 2014-11-10 Coralia Cartis , Andrew Thompson

Iterative hard thresholding (IHT) is a projected gradient descent algorithm, known to achieve state of the art performance for a wide range of structured estimation problems, such as sparse inference. In this work, we consider IHT as a…

Machine Learning · Statistics 2020-02-03 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

AS-ISTA (Architecture Searched-Iterative Shrinkage Thresholding Algorithm) and AS-FISTA (AS-Fast ISTA) are compressed sensing algorithms introducing structural parameters to ISTA and FISTA to enable architecture search within the iterative…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Ayano Nakai-Kasai , Yusuke Nakane , Tadashi Wadayama

The use of M-estimators in generalized linear regression models in high dimensional settings requires risk minimization with hard $L_0$ constraints. Of the known methods, the class of projected gradient descent (also known as iterative hard…

Machine Learning · Computer Science 2014-10-22 Prateek Jain , Ambuj Tewari , Purushottam Kar

Compressed sensing (CS) or sparse signal reconstruction (SSR) is a signal processing technique that exploits the fact that acquired data can have a sparse representation in some basis. One popular technique to reconstruct or approximate the…

Information Theory · Computer Science 2014-05-08 Esa Ollila , Hyon-Jung Kim , Visa Koivunen

We consider a combined restarting and adaptive backtracking strategy for the popular Fast Iterative Shrinking-Thresholding Algorithm frequently employed for accelerating the convergence speed of large-scale structured convex optimization…

Optimization and Control · Mathematics 2023-07-27 Jean-François Aujol , Luca Calatroni , Charles Dossal , Hippolyte Labarrière , Aude Rondepierre

In this paper, we conduct a theoretical and numerical study of the Fast Iterative Shrinkage-Thresholding Algorithm (FISTA) under strong convexity assumptions. We propose an autonomous Lyapunov function that reflects the strong convexity of…

Optimization and Control · Mathematics 2025-06-16 Luis M. Briceño-Arias

The need for fast sparse optimization is emerging, e.g., to deal with large-dimensional data-driven problems and to track time-varying systems. In the framework of linear sparse optimization, the iterative shrinkage-thresholding algorithm…

Optimization and Control · Mathematics 2025-01-22 Vito Cerone , Sophie M. Fosson , Diego Regruto

Magnetic Resonance Imaging (MRI) has excellent soft tissue contrast but is hindered by an inherently slow data acquisition process. Compressed sensing, which reconstructs sparse signals from incoherently sampled data, has been widely…

Numerical Analysis · Mathematics 2022-04-29 Charles Millard , Mark Chiew , Jared Tanner , Aaron T. Hess , Boris Mailhe

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Non-convex sparsity-inducing penalties have recently received considerable attentions in sparse learning. Recent theoretical investigations have demonstrated their superiority over the convex counterparts in several sparse learning…

Machine Learning · Computer Science 2013-03-20 Pinghua Gong , Changshui Zhang , Zhaosong Lu , Jianhua Huang , Jieping Ye
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