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We develop a general framework for distribution-free predictive inference in regression, using conformal inference.
Multiple regression analysis
Efroymson, M. A. (1960) · 1960
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Predictive intervals based on reuse of the sample
Butler, R., & Rothman, E. (1980) · 1980
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Regression shrinkage and selection via the lasso
Tibshirani, R. (1996) · 1996
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Random forests
Breiman, L. (2001) · 2001
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Inductive confidence machines for regression
Papadopoulos, H., Proedrou, K., Vovk, V., & Gammerman, A. (2002) · 2002
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Algorithmic Learning in a Random World
Vovk, V., Gammerman, A., & Shafer, G. (2005) · 2005
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Regularization and variable selection via the elastic net
Zou, H., & Hastie, T. (2005) · 2005
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Sparsity oracle inequalities for the lasso
Bunea, F., Tsybakov, A., & Wegkamp, M. (2007) · 2007
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Simultaneous analysis of lasso and dantzig selector
Bickel, P. J., Ritov, Y., & Tsybakov, A. B. (2009) · 2009
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Sparse additive models
Ravikumar, P., Lafferty, J., Liu, H., & Wasserman, L. (2009) · 2009
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On-line predictive linear regression
Vovk, V., Nouretdinov, I., & Gammerman, A. (2009) · 2009
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Sparse conformal predictors
Hebiri, M. (2010) · 2010
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Stability selection
Meinshausen, N., & Buhlmann, P. (2010) · 2010
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Sparse models and methods for optimal instruments with an application to eminent domain
Belloni, A., Chen, D., Chernozhukov, V., & Hansen, C. (2012) · 2012
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Valid post-selection inference
Berk, R., Brown, L., Buja, A., Zhang, K., & Zhao, L. (2013) · 2013
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Statistical significance in high-dimensional linear models
Buhlmann, P. (2013) · 2013
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Distribution free prediction sets
Lei, J., Robins, J., & Wasserman, L. (2013) · 2013
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Confidence intervals and hypothesis testing for high-dimensional regression
Javanmard, A., & Montanari, A. (2014) · 2014
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Classification with confidence
Lei, J. (2014) · 2014
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Distribution-free prediction bands for non-parametric regression
Lei, J., & Wasserman, L. (2014) · 2014
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On asymptotically optimal confidence regions and tests for high-dimensional models
van de Geer, S., Buhlmann, P., Ritov, Y., & Dezeure, R. (2014) · 2014
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Discussion: A significance test for the lasso
Wasserman, L. (2014) · 2014
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Confidence intervals for low dimensional parameters in high dimensional linear models
Zhang, C.-H., & Zhang, S. (2014) · 2014
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Thakurta, A. G., & Smith, A. (2013) · 2013
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Conditional validity of inductive conformal predictors
Vovk, V. (2013) · 2013
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Models as approximations: How random predictors and model violations invalidate classical inference in regression
Buja, A., Berk, R., Brown, L., George, E., Pitkin, E., Traskin, M., Zhang, K., & Zhao, L. (2014) · 2014
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Efficiency of conformalized ridge regression
Burnaev, E., & Vovk, V. (2014) · 2014
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Optimal inference after model selection
Fithian, W., Sun, D., & Taylor, J. (2014) · 2014
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Asymptotics of selective inference
Tian, X., & Taylor, J. (2015a)
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A conformal prediction approach to explore functional data
Lei, J., Rinaldo, A., & Wasserman, L. (2015) · 2015
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Exact post-selection inference, with application to the lasso
Lee, J., Sun, D., Sun, Y., & Taylor, J. (2016) · 2016
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Leave-one-out prediction intervals in linear regression models with many variables
Steinberger, L., & Leeb, H. (2016) · 2016
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Exact post-selection inference for sequential regression procedures
Tibshirani, R. J., Taylor, J., Lockhart, R., , & Tibshirani, R. (2016) · 2016
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