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Volumn 23, Issue 2, 2011, Pages 374-420

Least squares estimation without priors or supervision

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BAYES THEOREM; REGRESSION ANALYSIS;

EID: 78651479732     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/NECO_a_00076     Document Type: Article
Times cited : (98)

References (37)
  • 1
    • 0003071947 scopus 로고
    • Scale mixtures of normal distributions
    • Andrews, D., & Mallows, C. (1974). Scale mixtures of normal distributions. J. Royal Stat. Soc., 36, 99-102.
    • (1974) J. Royal Stat. Soc. , vol.36 , pp. 99-102
    • Andrews, D.1    Mallows, C.2
  • 2
    • 27844477304 scopus 로고    scopus 로고
    • Building robust wavelet estimators for multicomponent images using Stein's principle
    • Benazza-Benyahia, A.,&Pesquet,J.C. (2005). Building robust wavelet estimators for multicomponent images using Stein's principle. IEEE Trans. Image Proc., 14(11), 1814-1830.
    • (2005) IEEE Trans Image Proc. , vol.14 , Issue.11 , pp. 1814-1830
    • Benazza-Benyahia, A.1    Pesquet, J.C.2
  • 3
    • 0000662544 scopus 로고
    • Improving on inadmissible estimators in continuous exponential families with applications to simultaneous estimation of gamma scale parameters
    • Berger, J. (1980). Improving on inadmissible estimators in continuous exponential families with applications to simultaneous estimation of gamma scale parameters. Annals of Statistics, 8, 545-571.
    • (1980) Annals of Statistics , vol.8 , pp. 545-571
    • Berger, J.1
  • 5
    • 36348943666 scopus 로고    scopus 로고
    • The SURE-LET approach to image denoising
    • Blu, T., & Luisier, F. (2007). The SURE-LET approach to image denoising. IEEE Trans. Image Proc., 16, 2778-2786.
    • (2007) IEEE Trans. Image Proc. , vol.16 , pp. 2778-2786
    • Blu, T.1    Luisier, F.2
  • 6
    • 33645653318 scopus 로고    scopus 로고
    • A review of image denoising algorithms, with a new one
    • Buades, A., Coll, B., & Morel, J. M. (2005). A review of image denoising algorithms, with a new one. Multiscale Modeling and Simulation, 4(2), 490-530.
    • (2005) Multiscale Modeling and Simulation , vol.4 , Issue.2 , pp. 490-530
    • Buades, A.1    Coll, B.2    Morel, J.M.3
  • 8
    • 0002632234 scopus 로고
    • An introduction to empirical Bayes data analysis
    • Casella, G. (1985). An introduction to empirical Bayes data analysis. Amer. Statist., 39, 83-87.
    • (1985) Amer. Statist. , vol.39 , pp. 83-87
    • Casella, G.1
  • 10
    • 0036565814 scopus 로고    scopus 로고
    • Mean shift: A robust approach toward feature space analysis
    • Comaniciu, D., & Meer, P. (2002). Mean shift: A robust approach toward feature space analysis. IEEE Pat. Anal. Mach. Intell., 24, 603-619.
    • (2002) IEEE Pat Anal. Mach. Intell. , vol.24 , pp. 603-619
    • Comaniciu, D.1    Meer, P.2
  • 11
    • 0346833240 scopus 로고
    • A useful empirical Bayes identity
    • Cressie, N. (1982). A useful empirical Bayes identity. Annals of Statistics, 10(2), 625-629.
    • (1982) Annals of Statistics , vol.10 , Issue.2 , pp. 625-629
    • Cressie, N.1
  • 12
    • 84950459514 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • Donoho, D., & Johnstone, I. (1995). Adapting to unknown smoothness via wavelet shrinkage. J. American Stat. Assoc., 90(432), 1200-1224.
    • (1995) J. American Stat. Assoc. , vol.90 , Issue.432 , pp. 1200-1224
    • Donoho, D.1    Johnstone, I.2
  • 13
    • 60549117145 scopus 로고    scopus 로고
    • Generalized SURE for exponential families: Applications to regularization.
    • Eldar, Y. C. (2009). Generalized SURE for exponential families: Applications to regularization. IEEE Trans. on Signal Processing, 57(2), 471-481.
    • (2009) IEEE Trans on Signal Processing , vol.57 , Issue.2 , pp. 471-481
    • Eldar, Y.C.1
  • 15
    • 0024682770 scopus 로고
    • Updating the inverse of a matrix
    • Hager, W. W. (1989). Updating the inverse of a matrix. SIAM Review, 31, 221-239.
    • (1989) SIAM Review , vol.31 , pp. 221-239
    • Hager, W.W.1
  • 16
    • 0009225714 scopus 로고
    • Improving upon standard estimators in discrete exponential families with applications to Poisson and negative binomial cases
    • Hwang, J. T. (1982). Improving upon standard estimators in discrete exponential families with applications to Poisson and negative binomial cases. Annals of Statistics, 10, 857-867.
    • (1982) Annals of Statistics , vol.10 , pp. 857-867
    • Hwang, J.T.1
  • 17
    • 22044434800 scopus 로고    scopus 로고
    • Estimation of non-normalized statistical models by score matching
    • Hyvärinen, A. (2005). Estimation of non-normalized statistical models by score matching. Journal of Machine Learning Research, 6, 695-709.
    • (2005) Journal of Machine Learning Research , vol.6 , pp. 695-709
    • Hyvärinen, A.1
  • 18
    • 57349101724 scopus 로고    scopus 로고
    • Optimal approximation of signal priors
    • Hyvärinen, A. (2008). Optimal approximation of signal priors. Neural Computation, 20, 3087-3110.
    • (2008) Neural Computation , vol.20 , pp. 3087-3110
    • Hyvärinen, A.1
  • 19
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • (Series D)
    • Kalman, R. (1960). A new approach to linear filtering and prediction problems. ASME Journal of Basic Engineering, 82 (Series D), 35-45.
    • (1960) ASME Journal of Basic Engineering , vol.82 , pp. 35-45
    • Kalman, R.1
  • 20
    • 0030372807 scopus 로고    scopus 로고
    • Local likelihood density estimation
    • Loader, C. R. (1996). Local likelihood density estimation. Annals of Statistics, 24(4), 1602-1618.
    • (1996) Annals of Statistics , vol.24 , Issue.4 , pp. 1602-1618
    • Loader, C.R.1
  • 21
    • 48149099588 scopus 로고    scopus 로고
    • SURE-based wavelet thresholding integrating inter-scale dependencies
    • Piscataway, NJ: IEEE
    • Luisier, F., Blu, T., & Unser, M. (2006). SURE-based wavelet thresholding integrating inter-scale dependencies. In Proc. IEEE Intl. Conf. on Image Proc. (pp. 1457-1460). Piscataway, NJ: IEEE.
    • (2006) Proc. IEEE Intl. Conf. on Image Proc. , pp. 1457-1460
    • Luisier, F.1    Blu, T.2    Unser, M.3
  • 23
    • 2442612167 scopus 로고
    • An empirical Bayes estimator of the mean of a normal population
    • Miyasawa, K. (1961). An empirical Bayes estimator of the mean of a normal population. Bull. Inst. Internat. Statist., 38, 181-188.
    • (1961) Bull. Inst. Internat. Statist. , vol.38 , pp. 181-188
    • Miyasawa, K.1
  • 24
    • 84950432453 scopus 로고
    • Parametric empirical Bayes inference: Theory and applications
    • Morris, C. N. (1983). Parametric empirical Bayes inference: Theory and applications. J. American Statistical Assoc., 78, 47-65.
    • (1983) J. American Statistical Assoc. , vol.78 , pp. 47-65
    • Morris, C.N.1
  • 28
    • 57349139183 scopus 로고    scopus 로고
    • LearningtobeBayesian without supervision
    • B. Schölkopf, J. Platt, & T. Hofmann (Eds.), Cambridge, MA: MIT Press
    • Raphan, M.,&Simoncelli,E.P.(2007b). LearningtobeBayesian without supervision. In B. Schölkopf, J. Platt, & T. Hofmann (Eds.), Advances in neural information processing systems, 19 (pp. 1145-1152). Cambridge, MA: MIT Press.
    • (2007) Advances in neural information processing systems , vol.19 , pp. 1145-1152
    • Raphan, M.1    Simoncelli, E.P.2
  • 29
    • 48349144643 scopus 로고    scopus 로고
    • Optimal denoising in redundant representations
    • Raphan, M., & Simoncelli, E. P. (2008). Optimal denoising in redundant representations. IEEE Trans. Image Processing, 17(8), 1342-1352.
    • (2008) IEEE Trans. Image Processing , vol.17 , Issue.8 , pp. 1342-1352
    • Raphan, M.1    Simoncelli, E.P.2
  • 32
    • 0000033354 scopus 로고
    • An empirical Bayes approach to statistics
    • Berkeley: University of California Press
    • Robbins, H. (1956). An empirical Bayes approach to statistics. Proc. Third Berkley Symposium on Mathematcal Statistics (Vol. 2, pp. 157-163). Berkeley: University of California Press.
    • (1956) Proc. Third Berkley Symposium on Mathematcal Statistics , vol.2 , pp. 157-163
    • Robbins, H.1
  • 34
    • 0000169918 scopus 로고
    • Estimation of the mean of a multivariate normal distribution
    • Stein, C. M. (1981). Estimation of the mean of a multivariate normal distribution. Annals of Statistics, 9(6), 1135-1151.
    • (1981) Annals of Statistics , vol.9 , Issue.6 , pp. 1135-1151
    • Stein, C.M.1
  • 37
    • 0042638530 scopus 로고
    • Exponential operators and parameter differentiation in quantum physics
    • Wilcox, R. M. (1967). Exponential operators and parameter differentiation in quantum physics. Journal of Mathematical Physics, 8, 962-982.
    • (1967) Journal of Mathematical Physics , vol.8 , pp. 962-982
    • Wilcox, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.