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Research Article

Wavelet Feature Screening

ORCID Icon, ORCID Icon & ORCID Icon
Received 23 Oct 2023, Accepted 09 Apr 2024, Published online: 20 May 2024

References

  • Barut, E., Fan, J., and Verhasselt, A. (2016), “Conditional Sure Independence Screening,” Journal of the American Statistical Association, 111, 1266–1277. DOI: 10.1080/01621459.2015.1092974.
  • Camalier, L., Cox, W., and Dolwick, P. (2007), “The Effects of Meteorology on Ozone in Urban Areas and their Use in Assessing Ozone Trends,” Atmospheric Environment, 41, 7127–7137. DOI: 10.1016/j.atmosenv.2007.04.061.
  • Donoho, D. L., and Johnstone, J. M. (1994), “Ideal Spatial Adaptation by Wavelet Shrinkage,” Biometrika, 81, 425–455. DOI: 10.1093/biomet/81.3.425.
  • Fan, J., Feng, Y., and Song, R. (2011), “Nonparametric Independence Screening in Sparse Ultra-High-Dimensional Additive Models,” Journal of the American Statistical Association, 106, 544–557. DOI: 10.1198/jasa.2011.tm09779.
  • Fan, J., and Li, R. (2001), “Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties,” Journal of the American Statistical Association, 96, 1348–1360. DOI: 10.1198/016214501753382273.
  • Fan, J., Li, R., Zhang, C.-H., and Zou, H. (2020), Statistical Foundations of Data Science, Boca Raton: CRC Press.
  • Fan, J., and Lv, J. (2008), “Sure Independence Screening for Ultrahigh Dimensional Feature Space,” Journal of the Royal Statistical Society, Series B, 70, 849–911. DOI: 10.1111/j.1467-9868.2008.00674.x.
  • Fisher, R. S., Acevedo, C., Arzimanoglou, A., Bogacz, A., Helen Cross, J., Elger, C. E., et al. (2014), “ILAE Official Report: A Practical Clinical Definition of Epilepsy,” Epilepsia, 55, 475–482. DOI: 10.1111/epi.12550.
  • Franco, D. M. P., Andrade, M. d. F., Ynoue, R. Y., and Ching, J. (2019), “Effect of Local Climate Zone (LCZ) Classification on Ozone Chemical Transport Model Simulations in Sao Paulo, Brazil,” Urban Climate, 27, 293–313. DOI: 10.1016/j.uclim.2018.12.007.
  • Gavidia-Calderón, M., Schuch, D., and de Fatima Andrade, M. (2022), qualR: An R Package to Download São Paulo and Rio de Janeiro Air Pollution Data, R package version 0.9.7.
  • Gómez, L. M., Porto, R. F., and Morettin, P. A. (2021), “Nonparametric Regression with Warped Wavelets and Strong Mixing Processes,” Annals of the Institute of Statistical Mathematics, 73, 1203–1228. DOI: 10.1007/s10463-021-00789-0.
  • Hall, P., and Miller, H. (2009), “Using Generalized Correlation to Effect Variable Selection in Very High Dimensional Problems,” Journal of Computational and Graphical Statistics, 18, 533–550. DOI: 10.1198/jcgs.2009.08041.
  • Härdle, W., Kerkyacharian, G., Picard, D., and Tsybakov, A. (1998), Wavelets, Approximation, and Statistical Applications, New York: Springer.
  • Hastie, T., Tibshirani, R., and Friedman, J. (2009), The Elements of Statistical Learning: Data Mining, Inference, and Prediction (Vol. 2), New York: Springer.
  • Hwang, G., Hermann, B., Nair, V. A., Conant, L. L., Dabbs, K., Mathis, J., et al. (2020), “Brain Aging in Temporal Lobe Epilepsy: Chronological, Structural, and Functional,” NeuroImage: Clinical, 25, 102183. DOI: 10.1016/j.nicl.2020.102183.
  • Kerkyacharian, G., and Picard, D. (2004), “Regression in Random Design and Warped Wavelets,” Bernoulli, 10, 1053–1105. DOI: 10.3150/bj/1106314850.
  • Kovac, A., and Silverman, B. W. (2000), “Extending the Scope of Wavelet Regression Methods by Coefficient-Dependent Thresholding,” Journal of the American Statistical Association, 95, 172–183. DOI: 10.1080/01621459.2000.10473912.
  • Li, R., Huang, L., and Dziak, J. (2022), VariableScreening: High-Dimensional Screening for Semiparametric Longitudinal Regression, R package version 0.2.1.
  • Li, R., Zhong, W., and Zhu, L. (2012), “Feature Screening via Distance Correlation Learning,” Journal of the American Statistical Association, 107, 1129–1139. DOI: 10.1080/01621459.2012.695654.
  • Lin, X., Trainer, M., and Liu, S. (1988), “On the Nonlinearity of the Tropospheric Ozone Production,” Journal of Geophysical Research, 93, 15879–15888.
  • Mai, Q., and Zou, H. (2013), “The Kolmogorov Filter for Variable Screening in High-Dimensional Binary Classification,” Biometrika, 100, 229–234. DOI: 10.1093/biomet/ass062.
  • Monks, P. S., Archibald, A. T., Colette, A., Cooper, O., Coyle, M., Derwent, R., et al. (2015), “Tropospheric Ozone and its Precursors from the Urban to the Global Scale from Air Quality to Short-Lived Climate Forcer,” Atmospheric Chemistry and Physics, 15, 8889–8973. DOI: 10.5194/acp-15-8889-2015.
  • Morettin, P. A., Pinheiro, A., and Vidakovic, B. (2017), Wavelets in Functional Data Analysis, Cham: Springer.
  • Morettin, P. A., and Porto, R. F. (2022), “Estimation of Nonparametric Regression Models by Wavelets,” São Paulo Journal of Mathematical Sciences, 16, 539–565. DOI: 10.1007/s40863-021-00240-5.
  • Nason, G., Barber, S., Downie, T., Frylewicz, P., Kovac, A., Ogden, T., and Silverman, B. (2022), Package ‘wavethresh’, R package version 4.7.2.
  • Ogden, R. T. (1997), Essential Wavelets for Statistical Applications and Data Analysis, Boston: Birkhäuser.
  • Oliveira, M., Drumond, A., and Rizzo, L. (2022), “Air Pollution Persistent Exceedance Events in the Brazilian Metropolis of Sao Paulo and Associated Surface Weather Patterns,” International Journal of Environmental Science and Technology, 19, 9495–9506. DOI: 10.1007/s13762-021-03778-1.
  • Porto, R., Morettin, P., Percival, D., and Aubin, E. (2016), “Wavelet Shrinkage for Regression Models with Random Design and Correlated Errors,” Brazilian Journal of Probability and Statistics, 30, 614–652. DOI: 10.1214/15-BJPS296.
  • Reiss, P. T., Goldsmith, J., Shang, H. L., and Ogden, R. T. (2017), “Methods for Scalar–on–Function Regression,” International Statistical Review, 85, 228–249. DOI: 10.1111/insr.12163.
  • Sánchez-Ccoyllo, O. R., Ynoue, R. Y., Martins, L. D., and Andrade, M. d. F. (2006), “Impacts of Ozone Precursor Limitation and Meteorological Variables on Ozone Concentration in Sao Paulo, Brazil,” Atmospheric Environment, 40, 552–562. DOI: 10.1016/j.atmosenv.2006.04.069.
  • Santolaya, C., Oliveira, M. C. Q. D., Rizzo, L. V., and Miraglia, S. G. E. K. (2019), “Contribution of Chemical and Meteorological Factors to Tropospheric Ozone Formation in São Paulo, Brazil,” Brazilian Journal of Environmental Sciences, 54, 90–104.
  • Segal, M. R., Dahlquist, K. D., and Conklin, B. R. (2003), “Regression Approaches for Microarray Data Analysis,” Journal of Computational Biology, 10, 961–980. DOI: 10.1089/106652703322756177.
  • Thompson, M. L., Reynolds, J., Cox, L. H., Guttorp, P., and Sampson, P. D. (2001), “A Review of Statistical Methods for the Meteorological Adjustment of Tropospheric Ozone,” Atmospheric Environment, 35, 617–630.
  • Vidakovic, B. (1999), Statistical Modeling by Wavelets, New York: Wiley.
  • Xue, J., and Liang, F. (2017), “A Robust Model-Free Feature Screening Method for Ultrahigh-Dimensional Data,” Journal of Computational and Graphical Statistics, 26, 803–813. DOI: 10.1080/10618600.2017.1328364.
  • Yasuda, C. L., Valise, C., Saúde, A. V., Pereira, A. R., Pereira, F. R., Costa, A. L. F., et al. (2010), “Dynamic Changes in White and Gray Matter Volume are Associated with Outcome of Surgical Treatment in Temporal Lobe Epilepsy,” Neuroimage, 49, 71–79. DOI: 10.1016/j.neuroimage.2009.08.014.
  • Yasuda, C. L., Ramalho Pimentel-Silva, L., Beltramini, G. C., Liu, M., de Campos, B. M., Coan, A. C., Beaulieu, C., Cendes, F., and Gross, D. W. (2023), “Brain Volumes and White Matter Diffusion Across the Adult Lifespan in Temporal Lobe Epilepsy,” Annals of Clinical and Translational Neurology, 10, 1106–1118. DOI: 10.1002/acn3.51793.
  • Yousuf, K. (2018), “Variable Screening for High Dimensional Time Series,” Electronical Journal of Statistics, 12, 667–702.
  • Zhang, J., Wei, Y., and Fang, Z. (2019), “Ozone Pollution: A Major Health Hazard Worldwide,” Frontiers in Immunology, 10, 2518. DOI: 10.3389/fimmu.2019.02518.
  • Zhao, Y., Chen, H., and Ogden, R. T. (2015), “Wavelet-based Weighted LASSO and Screening Approaches in Functional Linear Regression,” Journal of Computational and Graphical Statistics, 24, 655–675. DOI: 10.1080/10618600.2014.925458.
  • Zhu, L.-P., Li, L., Li, R., and Zhu, L.-X. (2011), “Model-Free Feature Screening for Ultrahigh-Dimensional Data,” Journal of the American Statistical Association, 106, 1464–1475. DOI: 10.1198/jasa.2011.tm10563.