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Compressed sensing (CS) is a sampling paradigm that allows to simultaneously measure and compress signals that are sparse or compressible in some domain. The choice of a sensing matrix that carries out the measurement has a defining impact…

Information Theory · Computer Science 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae

In this work we present a deep learning framework for video compressive sensing. The proposed formulation enables recovery of video frames in a few seconds at significantly improved reconstruction quality compared to previous approaches.…

Computer Vision and Pattern Recognition · Computer Science 2017-12-19 Michael Iliadis , Leonidas Spinoulas , Aggelos K. Katsaggelos

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

Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

Information Theory · Computer Science 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

We consider compressive sensing as a source coding method for signal transmission. We concatenate a convolutional coding system with 1-bit compressive sensing to obtain a serial concatenated system model for sparse signal transmission over…

Information Theory · Computer Science 2014-03-14 Amin Movahed , Mark C. Reed

High-performance deep learning depends on efficient tensor programs. In recent years, automatic tensor program optimization, also known as tensor compilation, has emerged as the primary approach to generating efficient tensor programs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Hangda Liu , Boyu Diao , Yu Yang , Wenxin Chen , Xiaohui Peng , Yongjun Xu

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

Information Theory · Computer Science 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

Until recently, deep steganalyzers in spatial domain have been all designed for gray-scale images. In this paper, we propose WISERNet (the wider separate-then-reunion network) for steganalysis of color images. We provide theoretical…

Multimedia · Computer Science 2019-03-15 Jishen Zeng , Shunquan Tan , Guangqing Liu , Bin Li , Jiwu Huang

Despite the omnipresence of tensors and tensor operations in modern deep learning, the use of tensor mathematics to formally design and describe neural networks is still under-explored within the deep learning community. To this end, we…

Machine Learning · Computer Science 2023-03-27 Yao Lei Xu , Kriton Konstantinidis , Danilo P. Mandic

Compressed sensing can increase resolution, and decrease electron dose and scan time of electron microscope point-scan systems with minimal information loss. Building on a history of successful deep learning applications in compressed…

Image and Video Processing · Electrical Eng. & Systems 2019-10-28 Jeffrey M. Ede

Compressive sensing achieves effective dimensionality reduction of signals, under a sparsity constraint, by means of a small number of random measurements acquired through a sensing matrix. In a signal processing system, the problem arises…

Information Theory · Computer Science 2014-03-13 Diego Valsesia , Enrico Magli

Tensor networks have found a wide use in a variety of applications in physics and computer science, recently leading to both theoretical insights as well as practical algorithms in machine learning. In this work we explore the connection…

Quantum Physics · Physics 2019-12-04 Ivan Glasser , Nicola Pancotti , J. Ignacio Cirac

In this paper, we study a general framework for compressive sensing assuming the existence of the prior knowledge that $\boldsymbol{x}^*$ belongs to the union of multiple convex sets, $\boldsymbol{x}^{*} \in \bigcup_i \mathcal{C}_i$. In…

Optimization and Control · Mathematics 2019-08-14 Hang Zhang , Afshin Abdi , Faramarz Fekri

Compressed sensing (CS) is a technique which uses fewer measurements than dictated by the Nyquist sampling theorem. The traditional CS with linear measurements achieves efficient recovery performances, but it suffers from the large bit…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Ching-Lun Tai , Sung-Hsien Hsieh , Chun-Shien Lu

Magnetic resonance image (MRI) reconstruction is a severely ill-posed linear inverse task demanding time and resource intensive computations that can substantially trade off {\it accuracy} for {\it speed} in real-time imaging. In addition,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Morteza Mardani , Enhao Gong , Joseph Y. Cheng , Shreyas Vasanawala , Greg Zaharchuk , Marcus Alley , Neil Thakur , Song Han , William Dally , John M. Pauly , Lei Xing

Compressed sensing (CS) is a new signal acquisition paradigm that enables the reconstruction of signals and images from a low number of samples. A particularly exciting application of CS is Magnetic Resonance Imaging (MRI), where CS…

Information Theory · Computer Science 2016-08-17 Samuel Birns , Bohyun Kim , Stephanie Ku , Kevin Stangl , Deanna Needell

We develop the "generalized consistent weighted sampling" (GCWS) for hashing the "powered-GMM" (pGMM) kernel (with a tuning parameter $p$). It turns out that GCWS provides a numerically stable scheme for applying power transformation on the…

Machine Learning · Statistics 2022-01-10 Ping Li , Weijie Zhao

Multilayer perceptrons (MLP), or fully connected artificial neural networks, are known for performing vector-matrix multiplications using learnable weight matrices; however, their practical application in many machine learning tasks,…

Machine Learning · Computer Science 2025-04-22 Mehmet Yamaç , Muhammad Numan Yousaf , Serkan Kiranyaz , Moncef Gabbouj

Compressive sensing magnetic resonance imaging (CS-MRI) accelerates the acquisition of MR images by breaking the Nyquist sampling limit. In this work, a novel generative adversarial network (GAN) based framework for CS-MRI reconstruction is…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Puneesh Deora , Bhavya Vasudeva , Saumik Bhattacharya , Pyari Mohan Pradhan

This paper addresses an ill-posed problem of recovering a color image from its compressively sensed measurement data. Differently from the typical 1D vector-based approach of the state-of-the-art methods, we exploit the nonlocal…

Image and Video Processing · Electrical Eng. & Systems 2017-11-28 Khanh Quoc Dinh , Thuong Nguyen Canh , Byeungwoo Jeon
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