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Volumn 19, Issue 9, 2010, Pages 2357-2368

Adaptive langevin sampler for separation of t-distribution modelled astrophysical maps

Author keywords

Astrophysical images; Bayesian source separation; Langevin stochastic equation; Markov Chain Monte Carlo (MCMC); MetropolisHastings; multichannel denoising; student's t distribution

Indexed keywords

ASTROPHYSICAL IMAGES; BAYESIAN; LANGEVIN; MARKOV CHAIN MONTE CARLO; METROPOLISHASTINGS; MULTI-CHANNEL;

EID: 77955807413     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2010.2048613     Document Type: Article
Times cited : (11)

References (37)
  • 1
    • 67349189410 scopus 로고    scopus 로고
    • Bayesian separation of images modelled with MRFs using MCMC
    • May
    • K. Kayabol, E. E. Kuruoglu, and B. Sankur, "Bayesian separation of images modelled with MRFs using MCMC," IEEE Trans. Image Process., vol.18, no.5, pp. 982-994, May 2009.
    • (2009) IEEE Trans. Image Process. , vol.18 , Issue.5 , pp. 982-994
    • Kayabol, K.1    Kuruoglu, E.E.2    Sankur, B.3
  • 2
    • 67149136184 scopus 로고    scopus 로고
    • Image source separation using color channel dependencies
    • Paraty, Brasil
    • K. Kayabol, E. E. Kuruoglu, and B. Sankur, "Image source separation using color channel dependencies," in Proc. ICA 2009, Paraty, Brasil, 2009, vol.5441, pp. 499-506.
    • (2009) Proc. ICA 2009 , vol.5441 , pp. 499-506
    • Kayabol, K.1    Kuruoglu, E.E.2    Sankur, B.3
  • 3
    • 4344616431 scopus 로고    scopus 로고
    • The three easy routes to independent component analysis; Contrasts and Geometry
    • San Diego, CA, Dec.
    • J.-F. Cardoso, "The three easy routes to independent component analysis; Contrasts and Geometry," in Proc. Int. Conf. Indepen. Comp. Anal. ICA'01, San Diego, CA, Dec. 2001, pp. 1-6.
    • (2001) Proc. Int. Conf. Indepen. Comp. Anal. ICA'01 , pp. 1-6
    • Cardoso, J.-F.1
  • 4
    • 0345399126 scopus 로고
    • The probable error of a mean
    • W.S. Gosset, "The probable error of a mean," Biometrika, vol.6, no.1, pp. 1-25, 1908.
    • (1908) Biometrika , vol.6 , Issue.1 , pp. 1-25
    • Gosset, W.S.1
  • 7
    • 52649142740 scopus 로고    scopus 로고
    • Variational Bayesian image restoration based on a product of t-distributions image priors
    • Oct.
    • G. Chantas, N. Galatsanos, A. Likas, and M. Saunders, "Variational Bayesian image restoration based on a product of t-distributions image priors," IEEE Trans. Image Process., vol.17, no.10, pp. 1795-1805, Oct. 2008.
    • (2008) IEEE Trans. Image Process. , vol.17 , Issue.10 , pp. 1795-1805
    • Chantas, G.1    Galatsanos, N.2    Likas, A.3    Saunders, M.4
  • 8
    • 63449135803 scopus 로고    scopus 로고
    • Variational Bayesian sparse kernel-based blind image deconvolution with Student's-t priors
    • Apr.
    • D. Tzikas, A. Likas, and N. Galatsanos, "Variational Bayesian sparse kernel-based blind image deconvolution with Student's-t priors," IEEE Trans. Image Process., vol.18, no.4, pp. 753-764, Apr. 2009.
    • (2009) IEEE Trans. Image Process. , vol.18 , Issue.4 , pp. 753-764
    • Tzikas, D.1    Likas, A.2    Galatsanos, N.3
  • 9
    • 34347404627 scopus 로고    scopus 로고
    • A Bayesian approach for blind separation of sparse sources
    • Nov.
    • C. Fevotte and S. J. Godsill, "A Bayesian approach for blind separation of sparse sources," IEEE Trans. Audio, Speech Lang. Process., vol.14, no.6, pp. 2174-2188, Nov. 2006.
    • (2006) IEEE Trans. Audio, Speech Lang. Process. , vol.14 , Issue.6 , pp. 2174-2188
    • Fevotte, C.1    Godsill, S.J.2
  • 10
    • 0024681039 scopus 로고
    • A generalized em algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors
    • Jun.
    • T. Hebert and R. Leahy, "A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors," IEEE Trans. Med. Imag., vol.8, no.2, pp. 194-202, Jun. 1989.
    • (1989) IEEE Trans. Med. Imag. , vol.8 , Issue.2 , pp. 194-202
    • Hebert, T.1    Leahy, R.2
  • 11
    • 22944434926 scopus 로고    scopus 로고
    • A Bayesian approach to blind source separation
    • D. B. Rowe, "A Bayesian approach to blind source separation," J. Interdisc. Math., vol.5, no.1, 2002.
    • (2002) J. Interdisc. Math. , vol.5 , Issue.1
    • Rowe, D.B.1
  • 14
    • 31144447882 scopus 로고    scopus 로고
    • A Markov model for blind image separation by a mean-field em algorithm
    • Feb.
    • A. Tonazzini, L. Bedini, and E. Salerno, "A Markov model for blind image separation by a mean-field EM algorithm," IEEE Trans. Image Process., vol.15, no.2, pp. 473-482, Feb. 2006.
    • (2006) IEEE Trans. Image Process. , vol.15 , Issue.2 , pp. 473-482
    • Tonazzini, A.1    Bedini, L.2    Salerno, E.3
  • 15
    • 20444472378 scopus 로고    scopus 로고
    • Source separation in noisy astrophysical images modelled by Markov random fields
    • Oct.
    • E. E. Kuruoglu, A. Tonazzini, and L. Bianchi, "Source separation in noisy astrophysical images modelled by Markov random fields," in Proc. Int. Conf. Image Processing, Oct. 2004, pp. 24-27.
    • (2004) Proc. Int. Conf. Image Processing , pp. 24-27
    • Kuruoglu, E.E.1    Tonazzini, A.2    Bianchi, L.3
  • 16
    • 0000937122 scopus 로고
    • Sur la theorie du mouvement brownien
    • P. Langevin, "Sur la theorie du mouvement brownien," C.R. Acad. Sci., (Paris), vol.146, pp. 530-533, 1908.
    • (1908) C.R. Acad. Sci., (Paris) , vol.146 , pp. 530-533
    • Langevin, P.1
  • 17
    • 0001297162 scopus 로고
    • Brownian dynamics as a smart Monte Carlo simulation
    • R. J. Rossky, J. D. Doll, and H. L. Friedman, "Brownian dynamics as a smart Monte Carlo simulation," J. Chem. Phys., vol.69, pp. 4628-4633, 1978.
    • (1978) J. Chem. Phys. , vol.69 , pp. 4628-4633
    • Rossky, R.J.1    Doll, J.D.2    Friedman, H.L.3
  • 20
    • 0032687294 scopus 로고    scopus 로고
    • Estimation of Markov random field prior parameters using Markov chain Monte Carlo maximum likelihood
    • Jul.
    • X. Descombes, R. D. Morris, J. Zerubia, and M. Berthod, "Estimation of Markov random field prior parameters using Markov chain Monte Carlo maximum likelihood," IEEE Trans. Image Process., vol.8, no.7, pp. 954-963, Jul. 1999.
    • (1999) IEEE Trans. Image Process. , vol.8 , Issue.7 , pp. 954-963
    • Descombes, X.1    Morris, R.D.2    Zerubia, J.3    Berthod, M.4
  • 21
    • 0033078391 scopus 로고    scopus 로고
    • Bayesian and regularization methods for hyperparameter estimation in image restoration
    • Feb.
    • R. Molina, A. K. Katsaggelos, and J. Mateos, "Bayesian and regularization methods for hyperparameter estimation in image restoration," IEEE Trans. Image Process., vol.8, no.2, pp. 231-246, Feb. 1999.
    • (1999) IEEE Trans. Image Process. , vol.8 , Issue.2 , pp. 231-246
    • Molina, R.1    Katsaggelos, A.K.2    Mateos, J.3
  • 24
    • 0036406801 scopus 로고    scopus 로고
    • Cosmic microwave background anisotropies
    • W. Hu and S. Dodelson, "Cosmic microwave background anisotropies," Annu. Rev. Astron. Astrophys., vol.40, pp. 171-216, 2002.
    • (2002) Annu. Rev. Astron. Astrophys. , vol.40 , pp. 171-216
    • Hu, W.1    Dodelson, S.2
  • 26
    • 33750838445 scopus 로고    scopus 로고
    • Estimating the spectral indices of correlated astrophysical foregrounds by a second-order statistical approach
    • C. A. Bonaldi, L. Bedini, E. Salerno, C. Baccigalupi, and G. De Zotti, "Estimating the spectral indices of correlated astrophysical foregrounds by a second-order statistical approach," Mon. Not. Royal Astronom. Soc., vol.373, pp. 271-279, 2006.
    • (2006) Mon. Not. Royal Astronom. Soc. , vol.373 , pp. 271-279
    • Bonaldi, C.A.1    Bedini, L.2    Salerno, E.3    Baccigalupi, C.4    De Zotti, G.5
  • 28
    • 0000281374 scopus 로고
    • Representations of knowledge in complex systems (with discussion)
    • U. Grenander and M. I. Miller, "Representations of knowledge in complex systems (with discussion)," J. Roy. Statist. Soc. B, vol.56, pp. 549-603, 1994.
    • (1994) J. Roy. Statist. Soc. B , vol.56 , pp. 549-603
    • Grenander, U.1    Miller, M.I.2
  • 29
    • 33746521199 scopus 로고    scopus 로고
    • Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification
    • P. Dostert, Y. Efendiev, T. Y. Hou, and W. Luo, "Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification," J. Comput. Phys., vol.217, pp. 123-142, 2006.
    • (2006) J. Comput. Phys. , vol.217 , pp. 123-142
    • Dostert, P.1    Efendiev, Y.2    Hou, T.Y.3    Luo, W.4
  • 30
    • 0002864973 scopus 로고
    • ML estimation of the t distribution using em and its extensions, ECM and ECME
    • C. Liu and D. B. Rubin, "ML estimation of the t distribution using EM and its extensions, ECM and ECME," Statistica Sinica, vol.5, pp. 19-39, 1995.
    • (1995) Statistica Sinica , vol.5 , pp. 19-39
    • Liu, C.1    Rubin, D.B.2
  • 31
    • 38049148490 scopus 로고    scopus 로고
    • Extracting astrophysical source from channel-dependent convolutional mixtures by correlated component analysis in the frequency domain
    • New York: Springer-Verlag
    • L. Bedini and E. Salerno, "Extracting astrophysical source from channel-dependent convolutional mixtures by correlated component analysis in the frequency domain," in Lecture Notes in Artificial Intelligence. New York: Springer-Verlag, 2007, vol.4694, pp. 9-16.
    • (2007) Lecture Notes in Artificial Intelligence , vol.4694 , pp. 9-16
    • Bedini, L.1    Salerno, E.2
  • 32
    • 77955809023 scopus 로고    scopus 로고
    • [Online]. Available
    • National Aeronautics and Space Administration, Cosmic Background Explorer NASA [Online]. Available: http://lambda.gsfc.nasa.gov/ product/cobe/
    • Cosmic Background Explorer NASA
  • 33
    • 77955807687 scopus 로고    scopus 로고
    • [Online]. Available
    • National Aeronautics and Space Administration, Wilkinson Microwave Anisotropy Probe NASA [Online]. Available: http://map. gsfc.nasa.gov/
    • Wilkinson Microwave Anisotropy Probe NASA
  • 34
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • Apr.
    • W. K. Hastings, "Monte Carlo sampling methods using Markov chains and their applications," Biometrika, vol.57, no.1, pp. 97-109, Apr. 1970.
    • (1970) Biometrika , vol.57 , Issue.1 , pp. 97-109
    • Hastings, W.K.1
  • 35
    • 0002906163 scopus 로고
    • Improving the convergence of back-propagation learning with second-order methods
    • S. Becker and Y. Le Cun, "Improving the convergence of back-propagation learning with second-order methods," in Proc. 1988 Connectionist Models Summer School, 1989, pp. 29-37.
    • (1989) Proc. 1988 Connectionist Models Summer School , pp. 29-37
    • Becker, S.1    Le Cun, Y.2
  • 37
    • 18444379197 scopus 로고    scopus 로고
    • HEALPix:A framework for high-resolution discretization and fast analysis of data distributed on the sphere
    • K. M. Górski, E. Hivon, A. J. Banday, B. D.Wandelt, F. K. Hansen, M. Reinecke, and M. Bartelmann, "HEALPix:A framework for high-resolution discretization and fast analysis of data distributed on the sphere," Astrophys. J., vol.622, no.2, pp. 759-771, 2005.
    • (2005) Astrophys. J. , vol.622 , Issue.2 , pp. 759-771
    • Górski, K.M.1    Hivon, E.2    Banday, A.J.3    Wandelt, B.D.4    Hansen, F.K.5    Reinecke, M.6    Bartelmann, M.7


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.