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Dynamical Functional Theory for Compressed Sensing [article]

Burak Çakmak, Manfred Opper, Ole Winther, Bernard H. Fleury
2017 arXiv   pre-print
Using a dynamical functional approach we are able to derive an effective stochastic process for the marginal statistics of a single component of the dynamics.  ...  We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation matrices that are drawn  ...  of compressed sensing [8] - [10] .  ... 
arXiv:1705.04284v1 fatcat:l7ce7rfjezhgzfz7gkglniilfy

Dynamical functional theory for compressed sensing

Burak Cakmak, Manfred Opper, Ole Winther, Bernard H. Fleury
2017 2017 IEEE International Symposium on Information Theory (ISIT)  
Using a dynamical functional approach we are able to derive an effective stochastic process for the marginal statistics of a single component of the dynamics.  ...  We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation matrices that are drawn  ...  of compressed sensing [8] [9] [10] .  ... 
doi:10.1109/isit.2017.8006908 dblp:conf/isit/CakmakOWF17 fatcat:qylfv3fqr5eo5hfpb2tn3pyhii

Reconstruction of Wideband Radar Signal Based on Compressed Sensing

Li Wenjuan, Yang Haolan
2016 International Journal of Future Generation Communication and Networking  
In consideration of the sparseness of the radar target scene, a compressed sensing method used for chaotic radar is proposed in this article, wherein the chaotic frequency-modulated signal is generated  ...  The adoption of compressed sensing can not only remove the matched filter and the high-speed analogdigital converter, but also realize high-resolution radar imaging.  ...  CS (Compressed Sensing) [3] [4] [5] [6] [7] theory provides a new approach for wideband radar imaging.  ... 
doi:10.14257/ijfgcn.2016.9.8.04 fatcat:wevgs2i4dnhkto5svd5kzdac5q

Big data dynamic compressive sensing system architecture and optimization algorithm for internet of things

Jian-Wu Xue, Xiao-Kun Xu, Feng Zhang
2015 Discrete and Continuous Dynamical Systems. Series S  
To reduce the collected data from Internet of Things by compressed sensing sampling method is proposed.  ...  To overcome high computational complexity of compressed sensing algorithms, the search terms of the gradient projection sparse reconstruction algorithm (GPSR-BB) are improved by using multi-objective optimization  ...  The operation process of the compressed sensing theory is can be shown in Figure1. Compressed sensing Figure 1 .  ... 
doi:10.3934/dcdss.2015.8.1401 fatcat:kh7sxkl32ba7jhxxh3nu7fo6j4

GENERALIZED K-T BLAST AND K-T SENSE USING FOCUSS

Hong Jung, Jaeheung Yoo, Jong Ye
2007 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro  
In MRI, dynamic imaging such as cardiac cine may be a nice application of the compressed sensing theory since it requires significant reduction of data acquisition time whereas the periodic motions are  ...  According to the recent theory of compressed sensing, accurate reconstruction is possible even from data samples dramatically smaller than Nyquist sampling limit as long as the unknown image is sparse.  ...  Hence, the compressed sensing theory has a great potential for imaging problems.  ... 
doi:10.1109/isbi.2007.356809 dblp:conf/isbi/JungYY07 fatcat:4xra55fuzncghn5rtbs7xapt3i

Cooperative Spectrum Sensing Algorithm Based on CS-SLIM Iterative Minimization Sparse Learning

Ning Cao, Xiaowen Hu, Hao Lu, Minghe Mao
2013 International Journal of Distributed Sensor Networks  
Dynamic spectrum management is a key technology in cognitive wireless sensor network (C-WSN), in which spectrum sensing plays an important role.  ...  It is also proved that the algorithm is suitable for sparse signal reconstruction and wideband spectrum sensing in C-WSN.  ...  Compressed sampling (CS) theory provides an efficient way to sense sparse or compressible signals.  ... 
doi:10.1155/2013/261953 fatcat:aiqyfinqizfm3ldm75vswoyq7y

Compressive Sensing in Quantum Chemistry: A Little Computation Goes a Long Way

Gregory J. O. Beran
2015 ACS Central Science  
In this issue, Sanders, Andrade, and Aspuru-Guzik have published an interesting new approach for the prediction of molecular vibrations in electronic structure theory using compressive sensing. 2 Compressive  ...  In essence, compressive sensing asks: what is the minimum number of measurements that need to be made in order to obtain a high-quality approximation for a given signal?  ...  In contrast to typical uses of compressive sensing for postprocessing data signals (e.g., for image reconstruction or the work by the same authors on extracting properties from molecular dynamics trajectories  ... 
doi:10.1021/acscentsci.5b00062 pmid:27162940 pmcid:PMC4827478 fatcat:ohlyhwtmsnbdvdzhji4vafkzsy

The application of compressed sensing techniques in radio astronomy

Anna M. M. Scaife, Yves Wiaux
2011 2011 XXXth URSI General Assembly and Scientific Symposium  
The theory of compressed sensing demonstrates that incompletely sampled signals, such as those from an interferometer, may be accurately reconstructed when they are sparse or compressible in some basis  ...  Compressed sensing has been demonstrated to offer significant improvement over standard algorithms, and the flexibility of the framework and its implications for widefield imaging are compelling, as is  ...  Compressed Sensing The theory of compressed sensing, or compressive sampling, [1, 2, 3] states that signals which are sparse in some basis may be perfectly reconstructed when under-sampled at more than  ... 
doi:10.1109/ursigass.2011.6051225 fatcat:isai7f3b6rejthdvmixxjgdd2q

Compressive Spectrum Sensing for Cognitive Radio Networks [article]

Fatima Salahdine
2018 arXiv   pre-print
Compressive sensing has been proposed as a low-cost solution to reduce the processing time and accelerate the scanning process.  ...  It allows reducing the number of samples required for high dimensional signal acquisition while keeping the essential information.  ...  This function can be expressed as : + − + − (86) f (.) is a quantization function with one-bit compressive sensing.  ... 
arXiv:1802.03674v1 fatcat:6ddexxzymjfqzpcw6cfoia42xy

Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns

2018 IEEE Control Systems  
Although compressed sensing can recover a wider class of signals, we demonstrate the benefits of exploiting known patterns in data with optimized sensing.  ...  High-dimensional states can often leverage a latent low-dimensional representation, and this inherent compressibility enables sparse sensing.  ...  Acknowledgments The authors thank Eurika Kaiser, Joshua Proctor, Bernd Noack, Tom Hogan, and Joel Tropp for valuable discussions.  ... 
doi:10.1109/mcs.2018.2810460 fatcat:iy7j5eqtifd55cvg4r4baxvgmq

Dynamic Spectrum Detection Via Compressive Sensing

Olusegun Odejide
2012 International Journal of Computer Networks & Communications  
Compressive sensing is an emerging theory that shows that it's possible to achieve good reconstruction, at sampling rates lower than that specified by Nyquist.  ...  In this paper, the feasibility and efficacy of using compressive sensing (CS) algorithms in conjunction with Haar wavelet for identifying spectrum holes in the wideband spectrum is explored.  ...  COMPRESSIVE SENSING AND PROBLEM STATEMENT Compressive Sensing Nyquist theory defined the required sampling rate for effective reconstruction of signals to be at least twice the maximum bandwidth or frequency  ... 
doi:10.5121/ijcnc.2012.4207 fatcat:5dqghdznxzc6xa3cp37ap7e6ma

Sparsity based feedback design: A new paradigm in opportunistic sensing

Sourabh Bhattacharya, Tamer Basar
2011 Proceedings of the 2011 American Control Conference  
We introduce the concept of using compressive sensing techniques to provide feedback in order to control dynamical systems.  ...  Second, we study the characteristics of dynamical systems that produce sparse states so that compressive sensing techniques can be used for feedback in such scenarios without any additional modification  ...  In this work, we address the problem of using compressive sensing techniques for providing feedback in dynamical systems.  ... 
doi:10.1109/acc.2011.5991014 fatcat:e5ozjpxfqze3jdoil2fihvd3ci

Performance evaluation of accelerated functional MRI acquisition using compressed sensing

Hong Jung, Jong Chul Ye
2009 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro  
The main contribution of this paper is to propose a new high spatio-temporal resolution fMRI technique based on compressed sensing theory and to justify the performance using receiver operating characteristic  ...  Functional MRI (fMRI) has been widely accepted as a standard tool to study the function of brain.  ...  THEORY 2.1. k-t FOCUSS: compressed sensing dynamic MRI According to compressed sensing theory [4] , very accurate signal reconstruction is possible even from very limited number of measurement by solving  ... 
doi:10.1109/isbi.2009.5193144 dblp:conf/isbi/JungY09 fatcat:tknn3yxawnan3abffijsofrwpy

Stability Of Functionally Graded Beams With Piezoelectric Layers Based On The First Order Shear Deformation Theory

M. Karami Khorramabadi, A. R. Nezamabadi
2010 Zenodo  
Stability of functionally graded beams with piezoelectric layers subjected to axial compressive load that is simply supported at both ends is studied in this paper.  ...  The displacement field of beam is assumed based on first order shear deformation beam theory. Applying the Hamilton's principle, the governing equation is established.  ...  They also described a sensing theory for using the axisymmetric piezoelectric bimorph.  ... 
doi:10.5281/zenodo.1058936 fatcat:epwrmipot5earbmo4gviqiyq7m

The influence of time-dependent hydrodynamics on polymer centre-of-mass motion

C. P Lowe, A. F Bakker, M. W Dreischor
2004 Europhysics letters  
Malevanets and Yeomans [3] modelled the solvent using direct simulation Monte Carlo and found good agreement with theory for the centre-of-mass dynamics if they allowed for compressibility.  ...  -We have considered the dynamics of a single model polymer for which, theoretically, we know the values for the diffusion coefficient. In this sense it is a test case.  ... 
doi:10.1209/epl/i2003-10299-3 fatcat:imi3tvhjvvb5bdrk7ehqzu3ibu
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