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Volumn 108, Issue 504, 2013, Pages 1445-1456

Locally adaptive bayes nonparametric regression via nested Gaussian processes

Author keywords

Bayesian nonparametric regression; Nested smoothing spline; Penalized sum of square; Reproducing kernel Hilbert space; Stochastic differential equations

Indexed keywords


EID: 84901588366     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.2013.838568     Document Type: Article
Times cited : (16)

References (57)
  • 1
    • 0030078473 scopus 로고    scopus 로고
    • Improved Inference in Nonparametric Regression Using L-Smoothing Splines
    • [1446]
    • Abramovich, F., and Steinberg, D. M. (1996), "Improved Inference in Nonparametric Regression Using L-Smoothing Splines, " Journal of Statistical Planning and Inference, 49, 327-341. [1446]
    • (1996) Journal of Statistical Planning and Inference , vol.49 , pp. 327-341
    • Abramovich, F.1    Steinberg, D.M.2
  • 5
    • 35348953749 scopus 로고    scopus 로고
    • On PosteriorConsistency in Nonparametric Regression Problems
    • [1445,1448,1453]
    • Choi, T., and Schervish, M. J. (2007), "On PosteriorConsistency in Nonparametric Regression Problems, " Journal of Multivariate Analysis, 98, 1969-1987. [1445,1448,1453]
    • (2007) Journal of Multivariate Analysis , vol.98 , pp. 1969-1987
    • Choi, T.1    Schervish, M.J.2
  • 7
    • 18744410496 scopus 로고    scopus 로고
    • Understanding the Characteristics of Mass Spectrometry Data Through the Use of Simulation
    • [1451]
    • Coombes, K., Koomen, J., Baggerly, K., Morris, J., and Kobayashi, R. (2005a), "Understanding the Characteristics of Mass Spectrometry Data Through the Use of Simulation, " Cancer Informatics, 1, 41. [1451]
    • (2005) Cancer Informatics , vol.1 , pp. 41
    • Coombes, K.1    Koomen, J.2    Baggerly, K.3    Morris, J.4    Kobayashi, R.5
  • 8
    • 18744411077 scopus 로고    scopus 로고
    • Improved Peak Detection and Quantification of Mass Spectrometry Data Acquired From Surface-Enhanced Laser Desorption and Ionization by Denoising Spectra With the Undecimated Discrete Wavelet Transform
    • [1451]
    • Coombes, K. R., Tsavachidis, S., Morris, J. S., Baggerly, K. A., Hung, M. C., and Kuerer, H. M. (2005b), "Improved Peak Detection and Quantification of Mass Spectrometry Data Acquired From Surface-Enhanced Laser Desorption and Ionization by Denoising Spectra With the Undecimated Discrete Wavelet Transform, " Proteomics, 5, 4107-4117. [1451]
    • (2005) Proteomics , vol.5 , pp. 4107-4117
    • Coombes, K.R.1    Tsavachidis, S.2    Morris, J.S.3    Baggerly, K.A.4    Hung, M.C.5    Kuerer, H.M.6
  • 9
    • 0033434080 scopus 로고    scopus 로고
    • Probability-Based Protein Identification by Searching Sequence Databases Using Mass Spectrometry Data
    • [1451]
    • Cottrell, J., and London, U. (1999), "Probability-Based Protein Identification by Searching Sequence Databases Using Mass Spectrometry Data, " Electrophoresis, 20, 3551-3567. [1451]
    • (1999) Electrophoresis , vol.20 , pp. 3551-3567
    • Cottrell, J.1    London, U.2
  • 12
    • 0010045457 scopus 로고    scopus 로고
    • Bayesian Curve-Fitting With Free-Knot Splines
    • [1445]
    • Dimatteo, I., Genovese, C. R., and Kass, R. E. (2001), "Bayesian Curve-Fitting With Free-Knot Splines, " Biometrika, 88, 1055. [1445]
    • (2001) Biometrika , vol.88 , pp. 1055
    • Dimatteo, I.1    Genovese, C.R.2    Kass, R.E.3
  • 13
    • 33645813378 scopus 로고    scopus 로고
    • Mass Spectrometry and Protein Analysis
    • [1451]
    • Domon, B., and Aebersold, R. (2006), "Mass Spectrometry and Protein Analysis, " Science, 312, 212. [1451]
    • (2006) Science , vol.312 , pp. 212
    • Domon, B.1    Aebersold, R.2
  • 15
    • 0041958932 scopus 로고
    • Ideal Spatial Adaptation by Wavelet Shrinkage
    • [1450]
    • Donoho, D. L., and Johnstone, I.M. (1994), "Ideal Spatial Adaptation by Wavelet Shrinkage, " Biometrika, 81, 425-455. [1450]
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 16
    • 3142711588 scopus 로고    scopus 로고
    • A Simple and Efficient Simulation Smoother for State Space Time Series Analysis
    • [1447,1449]
    • Durbin, J., and Koopman, S. (2002), "A Simple and Efficient Simulation Smoother for State Space Time Series Analysis, " Biometrika, 89, 603. [1447,1449]
    • (2002) Biometrika , vol.89 , pp. 603
    • Durbin, J.1    Koopman, S.2
  • 18
    • 0000887734 scopus 로고
    • Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation
    • [1446]
    • Fan, J., and Gijbels, I. (1995), "Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation, " Journal of the Royal Statistical Society, Series B, 57, 371-394. [1446]
    • (1995) Journal of the Royal Statistical Society, Series B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 19
    • 0002432565 scopus 로고
    • Multivariate Adaptive Regression Splines
    • [1445]
    • Friedman, J. H. (1991), "Multivariate Adaptive Regression Splines, " The Annals of Statistics, 19, 1-67. [1445]
    • (1991) The Annals of Statistics , vol.19 , pp. 1-67
    • Friedman, J.H.1
  • 20
    • 0024607448 scopus 로고
    • Flexible Parsimonious Smoothing and Additive Modeling
    • [1445]
    • Friedman, J. H., and Silverman, B.W. (1989), "Flexible Parsimonious Smoothing and Additive Modeling, " Technometrics, 31, 3-21. [1445]
    • (1989) Technometrics , vol.31 , pp. 3-21
    • Friedman, J.H.1    Silverman, B.W.2
  • 22
    • 33847339319 scopus 로고    scopus 로고
    • Posterior Consistency of Gaussian Process Prior for Nonparametric Binary Regression
    • [1445,1453]
    • Ghosal, S., and Roy, A. (2006), "Posterior Consistency of Gaussian Process Prior for Nonparametric Binary Regression, " The Annals of Statistics, 34, 2413-2429. [1445,1453]
    • (2006) The Annals of Statistics , vol.34 , pp. 2413-2429
    • Ghosal, S.1    Roy, A.2
  • 23
    • 77956889087 scopus 로고
    • Reversible Jump Markov Chain Monte Carlo Computation and Bayesian Model Determination
    • [1445]
    • Green, P. J. (1995), "Reversible Jump Markov Chain Monte Carlo Computation and Bayesian Model Determination, " Biometrika, 82, 711. [1445]
    • (1995) Biometrika , vol.82 , pp. 711
    • Green, P.J.1
  • 24
    • 0034343735 scopus 로고    scopus 로고
    • Penalized RegressionWith Model-Based Penalties
    • [1446]
    • Heckman, N. E., and Ramsay, J. O. (2000), "Penalized RegressionWith Model-Based Penalties, " Canadian Journal of Statistics, 28, 241-258. [1446]
    • (2000) Canadian Journal of Statistics , vol.28 , pp. 241-258
    • Heckman, N.E.1    Ramsay, J.O.2
  • 29
    • 18744384734 scopus 로고    scopus 로고
    • Feature Extraction and Quantification for Mass Spectrometry in Biomedical Applications Using the Mean Spectrum
    • [1451]
    • Morris, J., Coombes, K., Koomen, J., Baggerly, K., and Kobayashi, R. (2005), "Feature Extraction and Quantification for Mass Spectrometry in Biomedical Applications Using the Mean Spectrum, " Bioinformatics, 21, 1764-1775. [1451]
    • (2005) Bioinformatics , vol.21 , pp. 1764-1775
    • Morris, J.1    Coombes, K.2    Koomen, J.3    Baggerly, K.4    Kobayashi, R.5
  • 30
    • 43949121435 scopus 로고    scopus 로고
    • Bayesian Analysis of Mass Spectrometry Proteomic Data Using Wavelet-Based FunctionalMixed Models
    • [1451]
    • Morris, J. S., Brown, P. J., Herrick, R. C., Baggerly, K. A., and Coombes, K. R. (2008), "Bayesian Analysis of Mass Spectrometry Proteomic Data Using Wavelet-Based FunctionalMixed Models, " Biometrics, 64, 479-489. [1451]
    • (2008) Biometrics , vol.64 , pp. 479-489
    • Morris, J.S.1    Brown, P.J.2    Herrick, R.C.3    Baggerly, K.A.4    Coombes, K.R.5
  • 31
    • 0002628667 scopus 로고    scopus 로고
    • Regression and ClassificationUsing Gaussian Process Priors
    • [1445]
    • Neal, R. (1998), "Regression and ClassificationUsing Gaussian Process Priors, " Bayesian Statistics, 6, 475-501. [1445]
    • (1998) Bayesian Statistics , vol.6 , pp. 475-501
    • Neal, R.1
  • 32
    • 33644977319 scopus 로고    scopus 로고
    • Spatially Adaptive Smoothing Splines
    • [1446]
    • Pintore, A., Speckman, P., and Holmes, C. C. (2006), "Spatially Adaptive Smoothing Splines, " Biometrika, 93, 113. [1446]
    • (2006) Biometrika , vol.93 , pp. 113
    • Pintore, A.1    Speckman, P.2    Holmes, C.C.3
  • 34
    • 84863304598 scopus 로고    scopus 로고
    • R Development Core Team. R Foundation for Statistical Computing, Vienna, Austria, Available at [1450]
    • R Development Core Team (2011), R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, Available at http://www.R-project.org. [1450]
    • (2011) R: A Language and Environment for Statistical Computing
  • 37
    • 82955228156 scopus 로고    scopus 로고
    • Variable Selection for Nonparametric Gaussian Process Priors: Models and Computational Strategies
    • [1445]
    • Savitsky, T., Vannucci, M., and Sha, N. (2011), "Variable Selection for Nonparametric Gaussian Process Priors: Models and Computational Strategies, " Statistical Science, 26, 130-149. [1445]
    • (2011) Statistical Science , vol.26 , pp. 130-149
    • Savitsky, T.1    Vannucci, M.2    Sha, N.3
  • 38
    • 67349131247 scopus 로고    scopus 로고
    • Locally Adaptive Bayesian P-splines with a Normal-Exponential-Gamma Prior
    • [1446]
    • Scheipl, F., and Kneib, T. (2009), "Locally Adaptive Bayesian P-splines with a Normal-Exponential-Gamma Prior, " Computational Statistics and Data Analysis, 53, 3533-3552. [1446]
    • (2009) Computational Statistics and Data Analysis , vol.53 , pp. 3533-3552
    • Scheipl, F.1    Kneib, T.2
  • 40
    • 0000730931 scopus 로고
    • Radon-Nikodym Derivatives of Gaussian Measures
    • [1454]
    • Shepp, L. A. (1966), "Radon-Nikodym Derivatives of Gaussian Measures, " The Annals of Mathematical Statistics, 37, 321-354. [1454]
    • (1966) The Annals of Mathematical Statistics , vol.37 , pp. 321-354
    • Shepp, L.A.1
  • 42
    • 0000824232 scopus 로고    scopus 로고
    • Nonparametric Regression Using Bayesian Variable Selection
    • [1445]
    • Smith, M., and Kohn, R. (1996), "Nonparametric Regression Using Bayesian Variable Selection, " Journal of Econometrics, 75, 317-343. [1445]
    • (1996) Journal of Econometrics , vol.75 , pp. 317-343
    • Smith, M.1    Kohn, R.2
  • 44
    • 10244279272 scopus 로고    scopus 로고
    • Sample Classification From Protein Mass Spectrometry, by 'Peak Probability Contrasts'
    • [1451]
    • Tibshirani, R., Hastie, T., Narasimhan, B., Soltys, S., Shi, G., Koong, A., and Le, Q. T. (2004), "Sample Classification From Protein Mass Spectrometry, by 'Peak Probability Contrasts', " Bioinformatics, 20, 3034-3044. [1451]
    • (2004) Bioinformatics , vol.20 , pp. 3034-3044
    • Tibshirani, R.1    Hastie, T.2    Narasimhan, B.3    Soltys, S.4    Shi, G.5    Koong, A.6    Le, Q.T.7
  • 45
    • 51049088387 scopus 로고    scopus 로고
    • Rates of Contraction of Posterior Distributions Based on Gaussian Process Priors
    • [1445]
    • Van der Vaart, A. W., and Van Zanten, J. H. (2008a), "Rates of Contraction of Posterior Distributions Based on Gaussian Process Priors, " The Annals of Statistics, 36, 1435-1463. [1445]
    • (2008) The Annals of Statistics , vol.36 , pp. 1435-1463
    • Van der Vaart, A.W.1    Van Zanten, J.H.2
  • 48
    • 0003466536 scopus 로고
    • Philadelphia: Society for Industrial Mathematics. [1450,1453]
    • Wahba, G. (1990), SplineModels forObservational Data (vol. 59), Philadelphia: Society for Industrial Mathematics. [1450,1453]
    • (1990) SplineModels forObservational Data , vol.59
    • Wahba, G.1
  • 49
    • 0039930245 scopus 로고
    • Discussion of "Wavelet Shrinkage: Asymptopia?"
    • by Donoho et al., [1446]
    • Wahba, G. (1995), Discussion of "Wavelet Shrinkage: Asymptopia?" by Donoho et al., Journal of the Royal Statistical Society, Series B, 360-361. [1446]
    • (1995) Journal of the Royal Statistical Society, Series B , pp. 360-361
    • Wahba, G.1
  • 51
    • 80052832466 scopus 로고    scopus 로고
    • Stochastic Expansions Using Continuous Dictionaries: Lévy Adaptive Regression Kernels
    • [1446]
    • Wolpert, R. L., Clyde M. A., and Tu, C. (2011), "Stochastic Expansions Using Continuous Dictionaries: Lévy Adaptive Regression Kernels, " The Annals of Statistics, 39, 1916-1962. [1446]
    • (2011) The Annals of Statistics , vol.39 , pp. 1916-1962
    • Wolpert, R.L.1    Clyde, M.A.2    Tu, C.3
  • 52
    • 13844262338 scopus 로고    scopus 로고
    • Bayesian Mixture of Splines for Spatially Adaptive Nonparametric Regression
    • [1446]
    • Wood, S. A., Jiang, W., and Tanner, M. (2002), "Bayesian Mixture of Splines for Spatially Adaptive Nonparametric Regression, " Biometrika, 89, 513. [1446]
    • (2002) Biometrika , vol.89 , pp. 513
    • Wood, S.A.1    Jiang, W.2    Tanner, M.3
  • 55
    • 1842665179 scopus 로고    scopus 로고
    • Spatially Adaptive Regression Splines and Accurate Knot Selection Schemes
    • [1445]
    • Zhou, S., and Shen, X. (2001), "Spatially Adaptive Regression Splines and Accurate Knot Selection Schemes, " Journal of the American Statistical Association, 96, 247-259. [1445]
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 247-259
    • Zhou, S.1    Shen, X.2
  • 56
    • 83655172513 scopus 로고    scopus 로고
    • Stochastic Functional Data Analysis:ADiffusion Model-BasedApproach
    • [1446]
    • Zhu, B., Song, P. X. K., and Taylor, J. M. G. (2011), "Stochastic Functional Data Analysis:ADiffusion Model-BasedApproach, " Biometrics, 67, 1295-1304. [1446]
    • (2011) Biometrics , vol.67 , pp. 1295-1304
    • Zhu, B.1    Song, P.X.K.2    Taylor, J.M.G.3
  • 57
    • 78751665405 scopus 로고    scopus 로고
    • Nonparametric Bayesian Variable Selection With Applications to Multiple Quantitative Trait Loci MappingWith Epistasis andGene-Environment Interaction
    • [1445]
    • Zou, F., Huang, H., Lee, S., and Hoeschele, I. (2010), "Nonparametric Bayesian Variable Selection With Applications to Multiple Quantitative Trait Loci MappingWith Epistasis andGene-Environment Interaction, " Genetics, 186, 385. [1445]
    • (2010) Genetics , vol.186 , pp. 385
    • Zou, F.1    Huang, H.2    Lee, S.3    Hoeschele, I.4


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