메뉴 건너뛰기




Volumn 71, Issue 1, 2013, Pages 1-20

A simple compressive sensing algorithm for parallel many-core architectures

Author keywords

Compressed sensing; Optimization algorithm; Parallel architecture; Vectorized architecture

Indexed keywords

COMPRESSED SENSING; COMPUTER GRAPHICS; GRAPHICS PROCESSING UNIT; MEMORY ARCHITECTURE; PROGRAM PROCESSORS;

EID: 84873701799     PISSN: 19398018     EISSN: 19398115     Source Type: Journal    
DOI: 10.1007/s11265-012-0671-9     Document Type: Article
Times cited : (17)

References (56)
  • 2
    • 69749089531 scopus 로고    scopus 로고
    • Fast GPU implementation of sparse signal recovery from random projections
    • Andrecut, M. (2009). Fast GPU implementation of sparse signal recovery from random projections. Engineering Letters, 17(3), 151-158.
    • (2009) Engineering Letters , vol.17 , Issue.3 , pp. 151-158
    • Andrecut, M.1
  • 3
    • 38349070178 scopus 로고    scopus 로고
    • FFTC: Fastest fourier transform for the IBM cell broadband engine
    • S. Aluru, M. Parashar, R. Badrinath, & V. K. Prasanna (Eds.), HiPC Springer
    • Bader, D. A.; & Agarwal, V. (2007). FFTC: Fastest fourier transform for the IBM cell broadband engine. In: S. Aluru, M. Parashar, R. Badrinath, & V. K. Prasanna (Eds.), HiPC, Lecture of Notes in Computer Science (Vol. 4873, pp. 172-184). Springer.
    • (2007) Lecture of Notes in Computer Science , vol.4873 , pp. 172-184
    • Bader . D, A.1    Agarwal, V.2
  • 6
    • 77954290345 scopus 로고    scopus 로고
    • Constrained optimization and lagrange multiplier methods
    • Bertsekas, D. (1996). Constrained optimization and lagrange multiplier methods. Athena Scientific.
    • (1996) Athena Scientific
    • Bertsekas, D.1
  • 7
    • 36749005582 scopus 로고    scopus 로고
    • A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration
    • 2472806 10.1109/TIP.2007.909319
    • Bioucas-Dias, J.; & Figueiredo, M. (2007). A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration. IEEE Transactions on Image Processing, 16(12), 2992-3004.
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.12 , pp. 2992-3004
    • Bioucas-Dias, J.1    Figueiredo, M.2
  • 8
    • 41449091142 scopus 로고    scopus 로고
    • Iterated hard shrinkage for minimization problems with sparsity constraints
    • 2385880 1170.46067 10.1137/060663556
    • Bredies, K.; & Lorenz, D. A. (2008). Iterated hard shrinkage for minimization problems with sparsity constraints. SIAM Journal on Scientific Computing, 30(2), 657-683.
    • (2008) SIAM Journal on Scientific Computing , vol.30 , Issue.2 , pp. 657-683
    • Bredies, K.1    Lorenz, D.A.2
  • 9
    • 33744726904 scopus 로고    scopus 로고
    • Quantitative robust uncertainty principles and optimally sparse decompositions
    • 2228740 1102.94020 10.1007/s10208-004-0162-x
    • Candès, E.; & Romberg, J. (2006). Quantitative robust uncertainty principles and optimally sparse decompositions. Foundations of Computational Mathematics, 6, 227-254.
    • (2006) Foundations of Computational Mathematics , vol.6 , pp. 227-254
    • Candès, E.1    Romberg, J.2
  • 10
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • 1231.94017 10.1109/TIT.2005.862083
    • Candès, E.; Romberg, J.; & Tao, T. (2006). Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Transactions on Information Theory, 52(2), 489-509.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.2 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 11
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • 10.1109/TIT.2006.885507
    • Candès, E.; & Tao, T. (2006). Near optimal signal recovery from random projections: universal encoding strategies?. IEEE Transactions on Information Theory, 52(12), 5406-5426.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.12 , pp. 5406-5426
    • Candès, E.1    Tao, T.2
  • 13
    • 0032022704 scopus 로고    scopus 로고
    • Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage
    • 1669536 0993.94507 10.1109/83.661182
    • Chambolle, A.; DeVore, R. A.; Lee, N.-Y.; & Lucier, B. J. (1998). Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. IEEE Transactions on Image Processing, 7, 319-335.
    • (1998) IEEE Transactions on Image Processing , vol.7 , pp. 319-335
    • Chambolle, A.1    Devore, R.A.2    Lee, N.-Y.3    Lucier, B.J.4
  • 14
    • 34548677063 scopus 로고    scopus 로고
    • Proximal thresholding algorithm for minimization over orthonormal bases
    • 2373305 1167.90011 10.1137/060669498
    • Combettes, P.; & Pesquet, J.-C. (2007). Proximal thresholding algorithm for minimization over orthonormal bases. SIAM Journal on Optimization, 18(4), 1351-1376.
    • (2007) SIAM Journal on Optimization , vol.18 , Issue.4 , pp. 1351-1376
    • Combettes, P.1    Pesquet, J.-C.2
  • 15
    • 0002806690 scopus 로고    scopus 로고
    • An industry standard API for shared-memory programming
    • 10.1109/99.660313
    • Dagum, L.; & Menon, R. (1998). OpenMP: An industry standard API for shared-memory programming. IEEE Computational Science and Engineering, 5(1), 46-55.
    • (1998) IEEE Computational Science and Engineering , vol.5 , Issue.1 , pp. 46-55
    • Dagum, L.1    Menon, R.2
  • 16
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • 1077.65055 10.1002/cpa.20042
    • Daubechies, I.; Defrise, M.; & Mol, C. D. (2004). An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Communications in Pure and Applied Mathematics, 57(11), 1413-1457.
    • (2004) Communications in Pure and Applied Mathematics , vol.57 , Issue.11 , pp. 1413-1457
    • Daubechies, I.1    Defrise, M.2    Mol, C.D.3
  • 17
    • 36248929865 scopus 로고    scopus 로고
    • Deterministic constructions of compressed sensing matrices
    • 2371999 10.1016/j.jco.2007.04.002
    • DeVore, R. A. (2007). Deterministic constructions of compressed sensing matrices. Journal of Complexity, 4-6(23), 918-925.
    • (2007) Journal of Complexity , vol.4-6 , Issue.23 , pp. 918-925
    • Devore, R.A.1
  • 18
    • 0033872689 scopus 로고    scopus 로고
    • Altivec extension to PowerPC accelerates media processing
    • 10.1109/40.848475
    • Diefendorff, K.; Dubey, P.; Hochsprung, R.; & Scale, H. (2000). Altivec extension to PowerPC accelerates media processing. IEEE Micro, 20(2), 85-95.
    • (2000) IEEE Micro , vol.20 , Issue.2 , pp. 85-95
    • Diefendorff, K.1    Dubey, P.2    Hochsprung, R.3    Scale, H.4
  • 20
  • 21
    • 51049099433 scopus 로고    scopus 로고
    • A proximal iteration for deconvolving poisson noisy images using sparse representations
    • Dupe, F.-X.; Fadili, J.; & Starck, J.-L. (2008). A proximal iteration for deconvolving poisson noisy images using sparse representations. IEEE Transactions on Image Processing, 16(12), 2992-3004.
    • (2008) IEEE Transactions on Image Processing , vol.16 , Issue.12 , pp. 2992-3004
    • Dupe, F.-X.1    Fadili, J.2    Starck, J.-L.3
  • 23
    • 33947361050 scopus 로고    scopus 로고
    • Why simple shrinkage is still relevant for redundant representation?
    • 2300718 10.1109/TIT.2006.885522
    • Elad, M. (2006). Why simple shrinkage is still relevant for redundant representation? IEEE Transactions on Information Theory, 52, 5559-5569.
    • (2006) IEEE Transactions on Information Theory , vol.52 , pp. 5559-5569
    • Elad, M.1
  • 24
    • 34248217664 scopus 로고    scopus 로고
    • Performance of the cell processor for biomolecular simulations
    • 10.1016/j.cpc.2007.02.107
    • Fabritiis, G. D. (2007). Performance of the cell processor for biomolecular simulations. Computer Physics Communications, 176(11-12), 660-664.
    • (2007) Computer Physics Communications , vol.176 , Issue.11-12 , pp. 660-664
    • Fabritiis, G.D.1
  • 25
    • 0142200827 scopus 로고    scopus 로고
    • An em algorithm for wavelet-based image restoration
    • 2008658 10.1109/TIP.2003.814255
    • Figueiredo, M.; & Nowak, R. (2003). An EM algorithm for wavelet-based image restoration. IEEE Transactions on Image Processing, 12(8), 906-916.
    • (2003) IEEE Transactions on Image Processing , vol.12 , Issue.8 , pp. 906-916
    • Figueiredo, M.1    Nowak, R.2
  • 26
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • 10.1109/JSTSP.2007.910281
    • Figueiredo, M.; Nowak, R.; & Wright, S. (2007). Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems. IEEE Journal of Selected Topics in Signal Processing, 1(3), 586-598.
    • (2007) IEEE Journal of Selected Topics in Signal Processing , vol.1 , Issue.3 , pp. 586-598
    • Figueiredo, M.1    Nowak, R.2    Wright, S.3
  • 30
    • 44449098059 scopus 로고    scopus 로고
    • A semismooth Newton method for Tikhonov functionals with sparsity constraints
    • Griesse, R.; & Lorenz, D. A. (2008). A semismooth Newton method for Tikhonov functionals with sparsity constraints. Inverse Problems, 24(3).
    • (2008) Inverse Problems , vol.24 , Issue.3
    • Griesse, R.1    Lorenz . D, A.2
  • 34
    • 34547360464 scopus 로고    scopus 로고
    • Implementation of mixed-precision in solving systems of linear equations on the CELL processor
    • 10.1002/cpe.1164
    • Kurzak, J.; & Dongarra, J. (2007). Implementation of mixed-precision in solving systems of linear equations on the CELL processor. Concurrency and Computation: Practice and Experience, 19(10), 1371-1385.
    • (2007) Concurrency and Computation: Practice and Experience , vol.19 , Issue.10 , pp. 1371-1385
    • Kurzak, J.1    Dongarra, J.2
  • 35
    • 0040165092 scopus 로고    scopus 로고
    • Practical aspects of the Moreau-Yosida regularization: Theoretical preliminaries
    • 1443624 0876.49019 10.1137/S1052623494267127
    • Lemaréchal, C.; & Sagastizábal, C. (1997). Practical aspects of the Moreau-Yosida regularization: theoretical preliminaries. SIAM Journal on Optimization, 7(2), 367-385.
    • (1997) SIAM Journal on Optimization , vol.7 , Issue.2 , pp. 367-385
    • Lemaréchal, C.1    Sagastizábal, C.2
  • 37
    • 36849088522 scopus 로고    scopus 로고
    • Sparse MRI: The application of compressed sensing for rapid MR imaging
    • 10.1002/mrm.21391
    • Lustig, M.; Donoho, D.; & Pauly, J. M. (2007). Sparse MRI: the application of compressed sensing for rapid MR imaging. Magnetic Resonance in Medicine, 58(6), 1182-1195.
    • (2007) Magnetic Resonance in Medicine , vol.58 , Issue.6 , pp. 1182-1195
    • Lustig, M.1    Donoho, D.2    Pauly, J.M.3
  • 39
    • 0000276924 scopus 로고
    • Proximité et dualité dans un espace hilbertien
    • 201952 0136.12101
    • Moreau, J. (1965). Proximité et dualité dans un espace hilbertien. Bulletin de la S.M.F.; 93, 273-299.
    • (1965) Bulletin de la S.M.F. , vol.93 , pp. 273-299
    • Moreau, J.1
  • 40
    • 78651550268 scopus 로고    scopus 로고
    • Scalable parallel programming with CUDA
    • 10.1145/1365490.1365500
    • Nickolls, J.; Buck, I.; Garland, M.; & Skadron, K. (2008). Scalable parallel programming with CUDA. Queue, 6(2), 40-53.
    • (2008) Queue , vol.6 , Issue.2 , pp. 40-53
    • Nickolls, J.1    Buck, I.2    Garland, M.3    Skadron, K.4
  • 41
    • 0013212015 scopus 로고    scopus 로고
    • Markovian reconstruction using a GNC approach
    • 10.1109/83.784433
    • Nikolova, M. (1999). Markovian reconstruction using a GNC approach. IEEE Transactions on Image Processing, 8(9), 1204-1220.
    • (1999) IEEE Transactions on Image Processing , vol.8 , Issue.9 , pp. 1204-1220
    • Nikolova, M.1
  • 42
    • 0001236757 scopus 로고    scopus 로고
    • Inversion of large-support ill-posed linear operators using a piecewise Gaussian MRF
    • 1672851 10.1109/83.663502
    • Nikolova, M.; Idier, J.; & Mohammad-Djafari, A. (1998). Inversion of large-support ill-posed linear operators using a piecewise Gaussian MRF. IEEE Transactions on Image Processing, 8(4), 571-585.
    • (1998) IEEE Transactions on Image Processing , vol.8 , Issue.4 , pp. 571-585
    • Nikolova, M.1    Idier, J.2    Mohammad-Djafari, A.3
  • 43
    • 84907772842 scopus 로고    scopus 로고
    • Efficient reconstruction of piecewise constant images using nonsmooth nonconvex minimization
    • 2475823 1207.94017 10.1137/070692285
    • Nikolova, M.; Ng, M. K.; Zhang, S. Q.; & Ching, W. K. (2008). Efficient reconstruction of piecewise constant images using nonsmooth nonconvex minimization. SIAM Journal on Imaging Sciences, 1(1), 2-25.
    • (2008) SIAM Journal on Imaging Sciences , vol.1 , Issue.1 , pp. 2-25
    • Nikolova, M.1    Ng, M.K.2    Zhang, S.Q.3    Ching, W.K.4
  • 48
    • 57649106258 scopus 로고    scopus 로고
    • Larrabee: A many-core x86 architecture for visual computing
    • ACM New York, NY, USA 10.1145/1399504.1360617
    • Seiler, L.; Carmean, D.; Sprangle, E.; Forsyth, T.; Abrash, M.; Dubey, P.; et al. (2008). Larrabee: a many-core x86 architecture for visual computing. In: ACM SIGGRAPH 2008 papers (pp. 1-15). New York, NY, USA: ACM.
    • (2008) ACM SIGGRAPH 2008 Papers , pp. 1-15
    • Seiler, L.1    Carmean, D.2    Sprangle, E.3    Forsyth, T.4    Abrash, M.5    Dubey, P.6
  • 50
    • 33645712308 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for identifying sparse signals
    • 2238069 10.1109/TIT.2005.864420
    • Tropp, J. (2006). Just relax: Convex programming methods for identifying sparse signals. IEEE Transactions on Information Theory, 51(3), 1030-1051.
    • (2006) IEEE Transactions on Information Theory , vol.51 , Issue.3 , pp. 1030-1051
    • Tropp, J.1
  • 51
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • 2097044 10.1109/TIT.2004.834793
    • Tropp, J. A. (2004). Greed is good: algorithmic results for sparse approximation. IEEE Transactions on Information Theory, 50(10), 2231-2242.
    • (2004) IEEE Transactions on Information Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.A.1
  • 55
    • 84977895355 scopus 로고    scopus 로고
    • Bregman iterative algorithms for l1-minimization with applications to compressed sensing
    • 2475828 1203.90153 10.1137/070703983
    • Yin, W.; Osher, S.; Goldfarb, D.; & Darbon, J. (2008). Bregman iterative algorithms for l1-minimization with applications to compressed sensing. SIAM Journal on Imaging Sciences, 1(1), 143-168.
    • (2008) SIAM Journal on Imaging Sciences , vol.1 , Issue.1 , pp. 143-168
    • Yin, W.1    Osher, S.2    Goldfarb, D.3    Darbon, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.