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Volumn 66, Issue 3, 2004, Pages 575-589

Bayesian variable selection and regularization for time-frequency surface estimation

Author keywords

Bayesian inference; Gabor frames; Model selection; Regression; Regularization

Indexed keywords


EID: 3543026876     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9868.2004.02052.x     Document Type: Article
Times cited : (93)

References (54)
  • 2
    • 0002061759 scopus 로고    scopus 로고
    • Bayesian estimation of an autoregressive model using Markov chain Monte Carlo
    • Barnett, G., Kohn, R. and Sheather, S. (1996) Bayesian estimation of an autoregressive model using Markov chain Monte Carlo. J. Econometr., 74, 237-254.
    • (1996) J. Econometr. , vol.74 , pp. 237-254
    • Barnett, G.1    Kohn, R.2    Sheather, S.3
  • 4
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of lattice systems
    • Besag, J. E. (1974) Spatial interaction and the statistical analysis of lattice systems (with discussion). J. R. Statist. Soc. B, 36, 192-236.
    • (1974) J. R. Statist. Soc. B , vol.36 , pp. 192-236
    • Besag, J.E.1
  • 5
    • 0000857113 scopus 로고    scopus 로고
    • Multivariate Bayesian variable selection and prediction
    • Brown, P. J., Vannucci, M. and Fearn, T. (1998) Multivariate Bayesian variable selection and prediction. J. R. Statist. Soc. B, 60, 627-641.
    • (1998) J. R. Statist. Soc. B , vol.60 , pp. 627-641
    • Brown, P.J.1    Vannucci, M.2    Fearn, T.3
  • 6
    • 0036020894 scopus 로고    scopus 로고
    • Bayes model averaging with selection of regressors
    • Brown, P. J., Vannucci, M. and Fearn, T. (2002) Bayes model averaging with selection of regressors. J. R. Statist. Soc. B, 64, 519-536.
    • (2002) J. R. Statist. Soc. B , vol.64 , pp. 519-536
    • Brown, P.J.1    Vannucci, M.2    Fearn, T.3
  • 7
    • 0040100079 scopus 로고    scopus 로고
    • Semiparametric Bayesian inference for time series with mixed spectra
    • Carter, C. K. and Kohn, R. (1997) Semiparametric Bayesian inference for time series with mixed spectra. J. R. Statist. Soc. B, 59, 255-268.
    • (1997) J. R. Statist. Soc. B , vol.59 , pp. 255-268
    • Carter, C.K.1    Kohn, R.2
  • 8
    • 0035273106 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • Chen, S. S., Donoho, D. L. and Saunders, M. A. (2001) Atomic decomposition by basis pursuit. SIAM Rev., 43, 129-159.
    • (2001) SIAM Rev. , vol.43 , pp. 129-159
    • Chen, S.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 10
    • 0001682758 scopus 로고    scopus 로고
    • Multiple shrinkage and subset selection in wavelets
    • Clyde, M., Parmigiani, G. and Vidakovic, B. (1998) Multiple shrinkage and subset selection in wavelets. Biometrika, 85, 391-401.
    • (1998) Biometrika , vol.85 , pp. 391-401
    • Clyde, M.1    Parmigiani, G.2    Vidakovic, B.3
  • 11
    • 0000675659 scopus 로고
    • Remarques sur l'analyse de Fourier à fenêtre
    • Coifman, R. R. and Meyer, Y. (1991) Remarques sur l'analyse de Fourier à fenêtre. C. R. Acad. Sci., 312, 259-261.
    • (1991) C. R. Acad. Sci. , vol.312 , pp. 259-261
    • Coifman, R.R.1    Meyer, Y.2
  • 12
    • 33747727601 scopus 로고    scopus 로고
    • Wavelet-based statistical signal processing using hidden Markov models
    • Crouse, M. S., Nowak, R. D. and Baraniuk, R. G. (1998) Wavelet-based statistical signal processing using hidden Markov models. IEEE Trans. Signal Process., 46, 886-902.
    • (1998) IEEE Trans. Signal Process. , vol.46 , pp. 886-902
    • Crouse, M.S.1    Nowak, R.D.2    Baraniuk, R.G.3
  • 13
    • 0001196089 scopus 로고
    • A simple Wilson orthonormal basis with exponential decay
    • Daubechies, I., Jaffard, S. and Journé, J.-L. (1991) A simple Wilson orthonormal basis with exponential decay. SIAM J. Math Anal., 22, 554-573.
    • (1991) SIAM J. Math Anal. , vol.22 , pp. 554-573
    • Daubechies, I.1    Jaffard, S.2    Journé, J.-L.3
  • 14
    • 0003684891 scopus 로고    scopus 로고
    • Uncertainty principles and ideal atomic decompositions
    • Department of Statistics, Stanford University, Stanford
    • Donoho, D. L. and Huo, X. (1999) Uncertainty principles and ideal atomic decompositions. Technical Report 1999-13. Department of Statistics, Stanford University, Stanford.
    • (1999) Technical Report , vol.1999 , Issue.13
    • Donoho, D.L.1    Huo, X.2
  • 16
    • 1642595824 scopus 로고    scopus 로고
    • Time-frequency analysis for music signals: A mathematical approach
    • Dörfler, M. (2001) Time-frequency analysis for music signals: a mathematical approach. J. New Mus. Res., 30, 3-12.
    • (2001) J. New Mus. Res. , vol.30 , pp. 3-12
    • Dörfler, M.1
  • 19
    • 0141460296 scopus 로고    scopus 로고
    • Adaptive sparseness using Jeffreys prior
    • (eds T. G. Dietterich, S. Becker and Z. Ghahramani). Cambridge: MIT Press
    • Figueiredo, M. A. T. (2001) Adaptive sparseness using Jeffreys prior. In Advances in Neural Information Processing Systems, vol. 14 (eds T. G. Dietterich, S. Becker and Z. Ghahramani). Cambridge: MIT Press.
    • (2001) Advances in Neural Information Processing Systems , vol.14
    • Figueiredo, M.A.T.1
  • 20
    • 0009405646 scopus 로고
    • Explicitly infinite-dimensional Bayesian analysis of production technologies
    • Gallant, A. R. and Monahan, J. F. (1985) Explicitly infinite-dimensional Bayesian analysis of production technologies. J. Econometr., 30, 171-201.
    • (1985) J. Econometr. , vol.30 , pp. 171-201
    • Gallant, A.R.1    Monahan, J.F.2
  • 21
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images
    • Geman, S. and Geman, D. (1984) Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Trans. Pattn Anal. Mach. Intell., 6, 721-741.
    • (1984) IEEE Trans. Pattn Anal. Mach. Intell. , vol.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 22
    • 84893179575 scopus 로고
    • Variable selection via Gibbs sampling
    • George, E. I. and McCulloch, R. E. (1993) Variable selection via Gibbs sampling. J. Am. Statist. Ass., 88, 881-889.
    • (1993) J. Am. Statist. Ass. , vol.88 , pp. 881-889
    • George, E.I.1    McCulloch, R.E.2
  • 23
    • 0031526204 scopus 로고    scopus 로고
    • Approaches for Bayesian variable selection
    • George, E. I. and McCulloch, R. E. (1997) Approaches for Bayesian variable selection. Statist. Sin., 7, 339-373.
    • (1997) Statist. Sin. , vol.7 , pp. 339-373
    • George, E.I.1    McCulloch, R.E.2
  • 27
    • 0035591051 scopus 로고    scopus 로고
    • On the relationship between MCMC model uncertainty methods
    • Godsill, S. J. (2001) On the relationship between MCMC model uncertainty methods. J. Comput. Graph. Statist., 10, 230-248.
    • (2001) J. Comput. Graph. Statist. , vol.10 , pp. 230-248
    • Godsill, S.J.1
  • 28
    • 0032122676 scopus 로고    scopus 로고
    • Robust reconstruction and analysis of autoregressive signals in impulsive noise using the Gibbs sampler
    • Godsill, S. J. and Rayner, P. J. W. (1998) Robust reconstruction and analysis of autoregressive signals in impulsive noise using the Gibbs sampler. IEEE Trans. Speech Audio Process., 6, 352-372.
    • (1998) IEEE Trans. Speech Audio Process. , vol.6 , pp. 352-372
    • Godsill, S.J.1    Rayner, P.J.W.2
  • 30
    • 0001210676 scopus 로고    scopus 로고
    • Adaptation of Weyl-Heisenberg frames to underspread environments
    • (eds H. G. Feichtinger and T. Strohmer), ch. 10. Boston: Birkhäuser
    • Kozek, W. (1998) Adaptation of Weyl-Heisenberg frames to underspread environments. In Gabor Analysis and Algorithms: Theory and Applications (eds H. G. Feichtinger and T. Strohmer), ch. 10, pp. 323-352. Boston: Birkhäuser.
    • (1998) Gabor Analysis and Algorithms: Theory and Applications , pp. 323-352
    • Kozek, W.1
  • 31
    • 0033475174 scopus 로고    scopus 로고
    • Bayesian inference for semiparametric regression using a Fourier representation
    • Lenk, P. J. (1999) Bayesian inference for semiparametric regression using a Fourier representation. J. R. Statist. Soc. B, 61, 863-879.
    • (1999) J. R. Statist. Soc. B , vol.61 , pp. 863-879
    • Lenk, P.J.1
  • 32
    • 0034133184 scopus 로고    scopus 로고
    • Learning overcomplete representations
    • Lewicki, M. S. and Sejnowski, T. J. (2000) Learning overcomplete representations. Neur. Computn, 12, 337-365.
    • (2000) Neur. Computn , vol.12 , pp. 337-365
    • Lewicki, M.S.1    Sejnowski, T.J.2
  • 33
    • 0027842081 scopus 로고
    • Matching pursuits with time-frequency dictionaries
    • Mallat, S. G. and Zhang, Z. (1993) Matching pursuits with time-frequency dictionaries. IEEE Trans. Signal Process., 41, 3397-3415.
    • (1993) IEEE Trans. Signal Process. , vol.41 , pp. 3397-3415
    • Mallat, S.G.1    Zhang, Z.2
  • 34
    • 0025445496 scopus 로고
    • Lapped transforms for efficient transform/subband coding
    • Malvar, H. S. (1990) Lapped transforms for efficient transform/subband coding. IEEE Trans. Speech Audio Process., 38, 969-978.
    • (1990) IEEE Trans. Speech Audio Process. , vol.38 , pp. 969-978
    • Malvar, H.S.1
  • 36
    • 0000130839 scopus 로고
    • Bayesian variable selection in linear regression
    • Mitchell, T. J. and Beauchamp, J. J. (1988) Bayesian variable selection in linear regression (with discussion). J. Am. Statist. Ass., 83, 1023-1036.
    • (1988) J. Am. Statist. Ass. , vol.83 , pp. 1023-1036
    • Mitchell, T.J.1    Beauchamp, J.J.2
  • 37
    • 0000446730 scopus 로고    scopus 로고
    • Bayesian inference in wavelet-based models
    • Müller, P. and Vidakovic, B. (eds) (1999) Bayesian inference in wavelet-based models. Lect. Notes Statist., 141.
    • (1999) Lect. Notes Statist. , vol.141
    • Müller, P.1    Vidakovic, B.2
  • 38
    • 0034354958 scopus 로고    scopus 로고
    • Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum
    • Nason, G. P., von Sachs, R. and Kroisandt, G. (2000) Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum. J. R. Statist. Soc. B, 62, 271-292.
    • (2000) J. R. Statist. Soc. B , vol.62 , pp. 271-292
    • Nason, G.P.1    Von Sachs, R.2    Kroisandt, G.3
  • 40
    • 84898938962 scopus 로고    scopus 로고
    • Learning sparse codes with a mixture-of-Gaussians prior
    • (eds S. A. Solla, T. K. Leen and K.-R. Müller). Cambridge: MIT Press
    • Olshausen, B. A. and Millman, K. J. (2000) Learning sparse codes with a mixture-of-Gaussians prior. In Advances in Neural Information Processing Systems, vol. 12 (eds S. A. Solla, T. K. Leen and K.-R. Müller), pp. 841-847. Cambridge: MIT Press.
    • (2000) Advances in Neural Information Processing Systems , vol.12 , pp. 841-847
    • Olshausen, B.A.1    Millman, K.J.2
  • 41
    • 0000473139 scopus 로고    scopus 로고
    • A sparse representation for function approximation
    • Poggio, T. and Girosi, F. (1998) A sparse representation for function approximation. Neur. Computn, 10, 1445-1454.
    • (1998) Neur. Computn , vol.10 , pp. 1445-1454
    • Poggio, T.1    Girosi, F.2
  • 45
    • 0041064594 scopus 로고    scopus 로고
    • Numerical algorithms for discrete Gabor expansions
    • (eds H. G. Feichtinger and T. Strohmer), ch. 8. Boston: Birkhäuser
    • Strohmer, T. (1998) Numerical algorithms for discrete Gabor expansions. In Gabor Analysis and Algorithms: Theory and Applications (eds H. G. Feichtinger and T. Strohmer), ch. 8, pp. 267-294. Boston: Birkhäuser.
    • (1998) Gabor Analysis and Algorithms: Theory and Applications , pp. 267-294
    • Strohmer, T.1
  • 46
    • 0001224048 scopus 로고    scopus 로고
    • Sparse Bayesian learning and the relevance vector machine
    • Tipping, M. E. (2001) Sparse Bayesian learning and the relevance vector machine. J. Mach. Learnng Res., 1, 211-244.
    • (2001) J. Mach. Learnng Res. , vol.1 , pp. 211-244
    • Tipping, M.E.1
  • 47
    • 0032349461 scopus 로고    scopus 로고
    • Nonlinear wavelet shrinkage with Bayes rules and Bayes factors
    • Vidakovic, B. (1998) Nonlinear wavelet shrinkage with Bayes rules and Bayes factors. J. Am. Statist. Ass., 93, 173-179.
    • (1998) J. Am. Statist. Ass. , vol.93 , pp. 173-179
    • Vidakovic, B.1
  • 49
    • 0000939344 scopus 로고
    • Bayesian " confidence intervals " for the cross-validated smoothing spline
    • Wahba, G. (1983) Bayesian " confidence intervals " for the cross-validated smoothing spline. J. R. Statist. Soc. B, 45, 133-150.
    • (1983) J. R. Statist. Soc. B , vol.45 , pp. 133-150
    • Wahba, G.1
  • 50
    • 0242295767 scopus 로고    scopus 로고
    • Bayesian factor regression models in the 'large p, small n' paradigm
    • (eds J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith and M. West). Oxford: Oxford University Press
    • West, M. (2003) Bayesian factor regression models in the 'large p, small n' paradigm. In Bayesian Statistics 7 (eds J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith and M. West), pp. 733-742. Oxford: Oxford University Press.
    • (2003) Bayesian Statistics , vol.7 , pp. 733-742
    • West, M.1
  • 54
    • 3543030919 scopus 로고    scopus 로고
    • Bayesian estimation of time-frequency coefficients for audio signal enhancement
    • (eds S. Becker, S. Thrun and K. Obermayer). Cambridge: MIT Press
    • Wolfe, P. J. and Godsill, S. J. (2003) Bayesian estimation of time-frequency coefficients for audio signal enhancement. In Advances in Neural Information Processing Systems, vol. 15 (eds S. Becker, S. Thrun and K. Obermayer). Cambridge: MIT Press.
    • (2003) Advances in Neural Information Processing Systems , vol.15
    • Wolfe, P.J.1    Godsill, S.J.2


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