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Volumn 24, Issue 1, 2015, Pages 106-119

Compressive sensing by learning a gaussian mixture model from measurements

Author keywords

Compressive sensing; Gaussian mixture model (GMM); High speed video; Hyperspectral imaging; Inpainting; Maximum marginal likelihood estimator (MMLE); Mixture of factor analyzers (MFA)

Indexed keywords

COVARIANCE MATRIX; GAUSSIAN DISTRIBUTION; HIGH SPEED CAMERAS; IMAGE SEGMENTATION; MAXIMUM LIKELIHOOD; MEAN SQUARE ERROR; SIGNAL RECONSTRUCTION; SPECTROSCOPY;

EID: 84916898086     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2014.2365720     Document Type: Article
Times cited : (191)

References (34)
  • 1
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Feb.
    • E. J. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candes, E.J.1    Romberg, J.2    Tao, T.3
  • 2
    • 33947416035 scopus 로고    scopus 로고
    • Near-optimal signal recovery from random projections: Universal encoding strategies?
    • Dec.
    • E. J. Candes and T. Tao, "Near-optimal signal recovery from random projections: Universal encoding strategies?" IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5406-5425, Dec. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candes, E.J.1    Tao, T.2
  • 3
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • E. J. Candès, J. K. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math., vol. 59, no. 8, pp. 1207-1223, 2006.
    • (2006) Commun. Pure Appl. Math. , vol.59 , Issue.8 , pp. 1207-1223
    • Candès, E.J.1    Romberg, J.K.2    Tao, T.3
  • 4
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • Dec.
    • E. J. Candes and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, Dec. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candes, E.J.1    Tao, T.2
  • 5
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Apr.
    • D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.L.1
  • 6
    • 85032750886 scopus 로고    scopus 로고
    • Sampling signals from a union of subspaces
    • Mar.
    • Y. M. Lu and M. N. Do, "Sampling signals from a union of subspaces," IEEE Signal Process. Mag., vol. 25, no. 2, pp. 41-47, Mar. 2008.
    • (2008) IEEE Signal Process. Mag. , vol.25 , Issue.2 , pp. 41-47
    • Lu, Y.M.1    Do, M.N.2
  • 8
    • 64549135334 scopus 로고    scopus 로고
    • Sampling theorems for signals from the union of finite-dimensional linear subspaces
    • Apr.
    • T. Blumensath and M. E. Davies, "Sampling theorems for signals from the union of finite-dimensional linear subspaces," IEEE Trans. Inf. Theory, vol. 55, no. 4, pp. 1872-1882, Apr. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.4 , pp. 1872-1882
    • Blumensath, T.1    Davies, M.E.2
  • 9
    • 78649303140 scopus 로고    scopus 로고
    • Compressive sensing on manifolds using a nonparametric mixture of factor analyzers: Algorithm and performance bounds
    • Dec.
    • M. Chen, J. Silva, J. Paisley, C. Wang, D. Dunson, and L. Carin, "Compressive sensing on manifolds using a nonparametric mixture of factor analyzers: Algorithm and performance bounds," IEEE Trans. Signal Process., vol. 58, no. 12, pp. 6140-6155, Dec. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.12 , pp. 6140-6155
    • Chen, M.1    Silva, J.2    Paisley, J.3    Wang, C.4    Dunson, D.5    Carin, L.6
  • 10
    • 81455128153 scopus 로고    scopus 로고
    • Statistical compressed sensing of Gaussian mixture models
    • Dec.
    • G. Yu and G. Sapiro, "Statistical compressed sensing of Gaussian mixture models," IEEE Trans. Signal Process., vol. 59, no. 12, pp. 5842-5858, Dec. 2011.
    • (2011) IEEE Trans. Signal Process. , vol.59 , Issue.12 , pp. 5842-5858
    • Yu, G.1    Sapiro, G.2
  • 11
    • 84860189704 scopus 로고    scopus 로고
    • Solving inverse problems with piecewise linear estimators: From Gaussian mixture models to structured sparsity
    • May
    • G. Yu, G. Sapiro, and S. Mallat, "Solving inverse problems with piecewise linear estimators: From Gaussian mixture models to structured sparsity," IEEE Trans. Image Process., vol. 21, no. 5, pp. 2481-2499, May 2012.
    • (2012) IEEE Trans. Image Process. , vol.21 , Issue.5 , pp. 2481-2499
    • Yu, G.1    Sapiro, G.2    Mallat, S.3
  • 12
    • 84908006811 scopus 로고    scopus 로고
    • Video compressive sensing using Gaussian mixture models
    • Nov.
    • J. Yang et al., "Video compressive sensing using Gaussian mixture models," IEEE Trans. Image Process., vol. 23, no. 11, pp. 4863-4878, Nov. 2014.
    • (2014) IEEE Trans. Image Process. , vol.23 , Issue.11 , pp. 4863-4878
    • Yang, J.1
  • 13
    • 84907977633 scopus 로고    scopus 로고
    • Reconstruction of signals drawn from a Gaussian mixture via noisy compressive measurements
    • May
    • F. Renna, R. Calderbank, L. Carin, and M. R. D. Rodrigues, "Reconstruction of signals drawn from a Gaussian mixture via noisy compressive measurements," IEEE Trans. Signal Process., vol. 62, no. 9, pp. 2265-2277, May 2014.
    • (2014) IEEE Trans. Signal Process. , vol.62 , Issue.9 , pp. 2265-2277
    • Renna, F.1    Calderbank, R.2    Carin, L.3    Rodrigues, M.R.D.4
  • 14
    • 84871736560 scopus 로고    scopus 로고
    • Communications-inspired projection design with application to compressive sensing
    • W. R. Carson, M. Chen, M. R. D. Rodrigues, R. Calderbank, and L. Carin, "Communications-inspired projection design with application to compressive sensing," SIAM J. Imag. Sci., vol. 5, no. 4, pp. 1185-1212, 2012.
    • (2012) SIAM J. Imag. Sci. , vol.5 , Issue.4 , pp. 1185-1212
    • Carson, W.R.1    Chen, M.2    Rodrigues, M.R.D.3    Calderbank, R.4    Carin, L.5
  • 15
    • 84856650948 scopus 로고    scopus 로고
    • From learning models of natural image patches to whole image restoration
    • D. Zoran and Y. Weiss, "From learning models of natural image patches to whole image restoration," in Proc. IEEE ICCV, Nov. 2011, pp. 479-486.
    • Proc. IEEE ICCV, Nov. 2011 , pp. 479-486
    • Zoran, D.1    Weiss, Y.2
  • 16
    • 84877781993 scopus 로고    scopus 로고
    • Natural images, Gaussian mixtures and dead leaves
    • Red Hook, NY, USA: Curran Associates
    • D. Zoran and Y. Weiss, "Natural images, Gaussian mixtures and dead leaves," in Advances in Neural Information Processing Systems 25. Red Hook, NY, USA: Curran Associates, 2012, pp. 1745-1753.
    • (2012) Advances in Neural Information Processing Systems , vol.25 , pp. 1745-1753
    • Zoran, D.1    Weiss, Y.2
  • 18
    • 0030737323 scopus 로고    scopus 로고
    • Modeling the manifolds of images of handwritten digits
    • Jan.
    • G. E. Hinton, P. Dayan, and M. Revow, "Modeling the manifolds of images of handwritten digits," IEEE Trans. Neural Netw., vol. 8, no. 1, pp. 65-74, Jan. 1997.
    • (1997) IEEE Trans. Neural Netw. , vol.8 , Issue.1 , pp. 65-74
    • Hinton, G.E.1    Dayan, P.2    Revow, M.3
  • 19
    • 84898934543 scopus 로고    scopus 로고
    • Variational inference for Bayesian mixtures of factor analysers
    • Cambridge, MA, USA: MIT Press
    • Z. Ghahramani and M. J. Beal, "Variational inference for Bayesian mixtures of factor analysers," in Advances in Neural Information Processing Systems, vol. 12. Cambridge, MA, USA: MIT Press, 2000, pp. 449-455.
    • (2000) Advances in Neural Information Processing Systems , vol.12 , pp. 449-455
    • Ghahramani, Z.1    Beal, M.J.2
  • 20
    • 78650664703 scopus 로고    scopus 로고
    • Multiframe image estimation for coded aperture snapshot spectral imagers
    • Dec.
    • D. Kittle, K. Choi, A. Wagadarikar, and D. J. Brady, "Multiframe image estimation for coded aperture snapshot spectral imagers," Appl. Opt., vol. 49, no. 36, pp. 6824-6833, Dec. 2010.
    • (2010) Appl. Opt. , vol.49 , Issue.36 , pp. 6824-6833
    • Kittle, D.1    Choi, K.2    Wagadarikar, A.3    Brady, D.J.4
  • 21
    • 84879905023 scopus 로고    scopus 로고
    • Coded hyperspectral imaging and blind compressive sensing
    • A. Rajwade, D. Kittle, T.-H. Tsai, and L. Carin, "Coded hyperspectral imaging and blind compressive sensing," SIAM J. Imag. Sci., vol. 6, no. 2, pp. 782-812, 2013.
    • (2013) SIAM J. Imag. Sci. , vol.6 , Issue.2 , pp. 782-812
    • Rajwade, A.1    Kittle, D.2    Tsai, T.-H.3    Carin, L.4
  • 22
    • 84878535592 scopus 로고    scopus 로고
    • Coded aperture compressive temporal imaging
    • P. Llull et al., "Coded aperture compressive temporal imaging," Opt. Exp., vol. 21, no. 9, pp. 10526-10545, 2013.
    • (2013) Opt. Exp. , vol.21 , Issue.9 , pp. 10526-10545
    • Llull, P.1
  • 23
    • 84897680640 scopus 로고    scopus 로고
    • Gaussian mixture model for video compressive sensing
    • J. Yang et al., "Gaussian mixture model for video compressive sensing," in Proc. Int. Conf. Image Process., 2013, pp. 19-23.
    • Proc. Int. Conf. Image Process., 2013 , pp. 19-23
    • Yang, J.1
  • 26
    • 84916928475 scopus 로고    scopus 로고
    • Compressive extended depth of field using image space coding
    • P. Llull et al., "Compressive extended depth of field using image space coding," in Proc. Comput. Opt. Sens. Imag., 2014, pp. 1-3.
    • Proc. Comput. Opt. Sens. Imag., 2014 , pp. 1-3
    • Llull, P.1
  • 28
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • A. P. Dempster, N. M. Laird, and D. B. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Statist. Soc. B, vol. 39, no. 1, pp. 1-38, 1977.
    • (1977) J. Roy. Statist. Soc. B , vol.39 , Issue.1 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 30
    • 33750383209 scopus 로고    scopus 로고
    • K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation
    • Nov.
    • M. Aharon, M. Elad, and A. Bruckstein, "K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation," IEEE Trans. Signal Process., vol. 54, no. 11, pp. 4311-4322, Nov. 2006.
    • (2006) IEEE Trans. Signal Process. , vol.54 , Issue.11 , pp. 4311-4322
    • Aharon, M.1    Elad, M.2    Bruckstein, A.3
  • 31
    • 36749005582 scopus 로고    scopus 로고
    • A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration
    • Dec.
    • J. M. Bioucas-Dias and M. A. T. Figueiredo, "A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration," IEEE Trans. Image Process., vol. 16, no. 12, pp. 2992-3004, Dec. 2007.
    • (2007) IEEE Trans. Image Process. , vol.16 , Issue.12 , pp. 2992-3004
    • Bioucas-Dias, J.M.1    Figueiredo, M.A.T.2
  • 32
    • 84903377281 scopus 로고    scopus 로고
    • 2,1 minimization with applications to model-based compressive sensing
    • 2,1 minimization with applications to model-based compressive sensing," SIAM J. Imag. Sci., vol. 7, no. 2, pp. 797-823, 2014.
    • (2014) SIAM J. Imag. Sci. , vol.7 , Issue.2 , pp. 797-823
    • Liao, X.1    Li, H.2    Carin, L.3
  • 34
    • 84916882769 scopus 로고    scopus 로고
    • Coded aperture snapshot spectral imager based on liquid crystal spatial light modulator
    • R. Zhu, T.-H. Tsai, and D. J. Brady, "Coded aperture snapshot spectral imager based on liquid crystal spatial light modulator," in Proc. Frontiers Opt., 2013, pp. 1-2.
    • Proc. Frontiers Opt., 2013 , pp. 1-2
    • Zhu, R.1    Tsai, T.-H.2    Brady, D.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.