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Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood.
Surprises in high-dimensional ridgeless least squares interpolation
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A leisurely look at versions and variants of the cross validation estimator
Yousef, W. A. (2020) · 1907
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Approximate statistical tests for comparing supervised classification learning algorithms
Dietterich, T. G. (1998) · 1923
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Improved small-sample estimation of nonlinear cross-validated prediction metrics
Benkeser, D., Petersen, M., and van der Laan, M. J. (2020) · 1932
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A note on the expected value of an inverse matrix
Groves, T. and Rothenberg, T. (1969) · 1969
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Some comments on Cp
Mallows, C. L. (1973) · 1973
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A new look at the statistical model identification
Akaike, H. (1974) · 1974
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The relationship between variable selection and data augmentation and a method of prediction
Allen, D. (1974) · 1974
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The predictive sample reuse method with applications
Geisser, S. (1975) · 1975
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Cross-validatory choice and assessment of statistical predictions
Stone, M. (1977) · 1977
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Estimating the Dimension of a Model
Schwarz, G. (1978) · 1978
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Estimation of the Mean of a Multivariate Normal Distribution
Stein, C. M. (1981) · 1981
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Estimating the error rate of a prediction rule: Improvement on cross-validation
Efron, B. (1983) · 1983
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Assessing prediction error in non-parametric regression
Zhang, P. (1995) · 1983
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How biased is the apparent error rate of a prediction rule?
Efron, B. (1986) · 1986
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Model-structure selection by cross-validation
Stoica, P., Eykhoff, P., Janssen, P., and Soderstrom, T. (1986) · 1986
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Moments for the inverted wishart distribution
von Rosen, D. (1988) · 1988
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An Introduction to the Bootstrap
Efron, B. and Tibshirani, R. J. (1993) · 1993
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Linear model selection by cross-validation
Shao, J. (1993) · 1993
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Model Selection Via Multifold Cross Validation
Zhang, P. (1993) · 1993
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Out-of-bag estimation
Breiman, L. (1996) · 1996
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Improvements on cross-validation: The .632+ bootstrap method
Efron, B. and Tibshirani, R. (1997) · 1997
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Beating the hold-out: bounds for k-fold and progressive cross-validation
Blum, A., Kalai, A. T., and Langford, J. (1999) · 1999
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Asymptotics of cross-validation
Austern, M. and Zhou, W. (2020) · 2001
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A bias correction for the minimum error rate in cross-validation
Tibshirani, R. J. and Tibshirani, R. (2009) · 2009
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Variance stabilizing transformations of poisson, binomial and negative binomial distributions
Yu, G. (2009) · 2009
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A survey of cross-validation procedures for model selection
Arlot, S. and Celisse, A. (2010) · 2010
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Cross-validation and mean-square stability
Kale, S., Kumar, R., and Vassilvitskii, S. (2011) · 2011
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Near-optimal bounds for cross-validation via loss stability
Kumar, R., Lokshtanov, D., Vassilvitskii, S., and Vattani, A. (2013) · 2013
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Computationally efficient confidence intervals for cross-validated area under the ROC curve estimates
LeDell, E., Petersen, M., and van der Laan, M. (2015) · 2015
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Monte carlo cross validation
Xu, Q.-S. and Liang, Y.-Z. (2001) · 2001
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Pre-validation and inference in microarrays
Tibshirani, R. and Efron, B. (2002) · 2002
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Inference for the generalization error
Nadeau, C. and Bengio, Y. (2003) · 2003
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No unbiased estimator of the variance of k-fold cross-validation
Bengio, Y. and Grandvalet, Y. (2004) · 2004
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The estimation of prediction error
Efron, B. (2004) · 2004
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Asymptotics of cross-validated risk estimation in estimator selection and performance assessment
Dudoit, S. and van der Laan, M. J. (2005) · 2005
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Stability revisited: new generalisation bounds for the leave-one-out
Celisse, A. and Guedj, B. (2016) · 2016
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UCI machine learning repository
Dua, D. and Graff, C. (2017) · 2017
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Cross-fitting and fast remainder rates for semiparametric estimation
Newey, W. K. and Robins, J. R. (2018) · 2018
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Cross-validation with confidence
Lei, J. (2019) · 2019
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The all-or-nothing phenomenon in sparse linear regression
Reeves, G., Xu, J., and Zadik, I. (2019) · 2019
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Cross-validation confidence intervals for test error
Bayle, P., Bayle, A., Mackey, L., and Janson, L. (2020) · 2020
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On the marginal likelihood and cross-validation
Fong, E. and Holmes, C. C. (2020) · 2020
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Ridge regression: Structure, cross-validation, and sketching
Liu, S. and Dobriban, E. (2020) · 2020
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Cross-validation for correlated data
Rabinowicz, A. and Rosset, S. (2020) · 2020
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From fixed-x to random-x regression: Bias-variance decompositions, covariance penalties, and prediction error estimation
Rosset, S. and Tibshirani, R. J. (2020) · 2020
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Cross-validation, risk estimation, and model selection: Comment on a paper by Rosset and Tibshirani
Wager, S. (2020) · 2020
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Penalization and shrinkage methods produced unreliable clinical prediction models especially when sample size was small
Riley, R. D., Snell, K. I., Martin, G. P., Whittle, R., Archer, L., Sperrin, M., and Collins, G. S. (2021) · 2021
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Nonparametric variable importance assessment using machine learning techniques
Williamson, B. D., Gilbert, P. B., Carone, M., and Simon, N. (2021) · 2021
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