Cross-validation (statistics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Cross-validation (statistics)" in English language version.

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mathscinet.ams.org

Efron, Bradley; Tibshirani, Robert (1997). "Improvements on cross-validation: The .632 + Bootstrap Method". Journal of the American Statistical Association. 92 (438): 548–560. doi:10.2307/2965703. JSTOR 2965703. MR 1467848.
Stone, Mervyn (1977). "Asymptotics for and against cross-validation". Biometrika. 64 (1): 29–35. doi:10.1093/biomet/64.1.29. JSTOR 2335766. MR 0474601.

arxiv.org

Trippa, Lorenzo; Waldron, Levi; Huttenhower, Curtis; Parmigiani, Giovanni (March 2015). "Bayesian nonparametric cross-study validation of prediction methods". The Annals of Applied Statistics. 9 (1): 402–428. arXiv:1506.00474. Bibcode:2015arXiv150600474T. doi:10.1214/14-AOAS798. ISSN 1932-6157. S2CID 51943497.
Celisse, Alain (1 October 2014). "Optimal cross-validation in density estimation with the $L^{2}$-loss". The Annals of Statistics. 42 (5): 1879–1910. arXiv:0811.0802. doi:10.1214/14-AOS1240. ISSN 0090-5364. S2CID 17833620.
Arlot, Sylvain; Celisse, Alain (2010). "A survey of cross-validation procedures for model selection". Statistics Surveys. 4: 40–79. arXiv:0907.4728. doi:10.1214/09-SS054. S2CID 14332192. In brief, CV consists in averaging several hold-out estimators of the risk corresponding to different data splits.
Moscovich, Amit; Rosset, Saharon (1 September 2022). "On the Cross-Validation Bias due to Unsupervised Preprocessing". Journal of the Royal Statistical Society Series B: Statistical Methodology. 84 (4): 1474–1502. arXiv:1901.08974. doi:10.1111/rssb.12537. S2CID 215745385.

books.google.com

Hastie, Trevor; Tibshirani, Robert; Friedman, Jerome H. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer. ISBN 978-0-387-84884-6.

cmu.edu

cs.cmu.edu

"Cross Validation". Retrieved 11 November 2012.

danielsoper.com

Soper, Daniel S. (2021). "Greed Is Good: Rapid Hyperparameter Optimization and Model Selection Using Greedy k-Fold Cross Validation" (PDF). Electronics. 10 (16): 1973. doi:10.3390/electronics10161973.

doi.org

Piryonesi S. Madeh; El-Diraby Tamer E. (2020-03-01). "Data Analytics in Asset Management: Cost-Effective Prediction of the Pavement Condition Index". Journal of Infrastructure Systems. 26 (1): 04019036. doi:10.1061/(ASCE)IS.1943-555X.0000512. S2CID 213782055.
Allen, David M (1974). "The Relationship between Variable Selection and Data Agumentation and a Method for Prediction". Technometrics. 16 (1): 125–127. doi:10.2307/1267500. JSTOR 1267500.
Stone, M (1974). "Cross-Validatory Choice and Assessment of Statistical Predictions". Journal of the Royal Statistical Society, Series B (Methodological). 36 (2): 111–147. doi:10.1111/j.2517-6161.1974.tb00994.x. S2CID 62698647.
Stone, M (1977). "An Asymptotic Equivalence of Choice of Model by Cross-Validation and Akaike's Criterion". Journal of the Royal Statistical Society, Series B (Methodological). 39 (1): 44–47. doi:10.1111/j.2517-6161.1977.tb01603.x. JSTOR 2984877.
Grossman, Robert; Seni, Giovanni; Elder, John; Agarwal, Nitin; Liu, Huan (2010). "Ensemble Methods in Data Mining: Improving Accuracy Through Combining Predictions". Synthesis Lectures on Data Mining and Knowledge Discovery. 2. Morgan & Claypool: 1–126. doi:10.2200/S00240ED1V01Y200912DMK002.
Trippa, Lorenzo; Waldron, Levi; Huttenhower, Curtis; Parmigiani, Giovanni (March 2015). "Bayesian nonparametric cross-study validation of prediction methods". The Annals of Applied Statistics. 9 (1): 402–428. arXiv:1506.00474. Bibcode:2015arXiv150600474T. doi:10.1214/14-AOAS798. ISSN 1932-6157. S2CID 51943497.
Celisse, Alain (1 October 2014). "Optimal cross-validation in density estimation with the $L^{2}$-loss". The Annals of Statistics. 42 (5): 1879–1910. arXiv:0811.0802. doi:10.1214/14-AOS1240. ISSN 0090-5364. S2CID 17833620.
Airola, A.; Pahikkala, T.; Waegeman, W.; De Baets, Bernard; Salakoski, T. (2011-04-01). "An experimental comparison of cross-validation techniques for estimating the area under the ROC curve". Computational Statistics & Data Analysis. 55 (4): 1828–1844. doi:10.1016/j.csda.2010.11.018.
Molinaro, A. M.; Simon, R.; Pfeiffer, R. M. (2005-08-01). "Prediction error estimation: a comparison of resampling methods". Bioinformatics. 21 (15): 3301–3307. doi:10.1093/bioinformatics/bti499. ISSN 1367-4803. PMID 15905277.
Soper, Daniel S. (2021). "Greed Is Good: Rapid Hyperparameter Optimization and Model Selection Using Greedy k-Fold Cross Validation" (PDF). Electronics. 10 (16): 1973. doi:10.3390/electronics10161973.
Arlot, Sylvain; Celisse, Alain (2010). "A survey of cross-validation procedures for model selection". Statistics Surveys. 4: 40–79. arXiv:0907.4728. doi:10.1214/09-SS054. S2CID 14332192. In brief, CV consists in averaging several hold-out estimators of the risk corresponding to different data splits.
Xu, Qing-Song; Liang, Yi-Zeng (April 2001). "Monte Carlo cross validation". Chemometrics and Intelligent Laboratory Systems. 56 (1): 1–11. doi:10.1016/S0169-7439(00)00122-2.
Kuhn, Max; Johnson, Kjell (2013). Applied Predictive Modeling. New York, NY: Springer New York. doi:10.1007/978-1-4614-6849-3. ISBN 9781461468486.
Efron, Bradley; Tibshirani, Robert (1997). "Improvements on cross-validation: The .632 + Bootstrap Method". Journal of the American Statistical Association. 92 (438): 548–560. doi:10.2307/2965703. JSTOR 2965703. MR 1467848.
Stone, Mervyn (1977). "Asymptotics for and against cross-validation". Biometrika. 64 (1): 29–35. doi:10.1093/biomet/64.1.29. JSTOR 2335766. MR 0474601.
Consortium, MAQC (2010). "The Microarray Quality Control (MAQC)-II study of common practices for the development and validation of microarray-based predictive models". Nature Biotechnology. 28 (8). London: Nature Publishing Group: 827–838. doi:10.1038/nbt.1665. PMC 3315840. PMID 20676074.
Bermingham, Mairead L.; Pong-Wong, Ricardo; Spiliopoulou, Athina; Hayward, Caroline; Rudan, Igor; Campbell, Harry; Wright, Alan F.; Wilson, James F.; Agakov, Felix; Navarro, Pau; Haley, Chris S. (2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Sci. Rep. 5: 10312. Bibcode:2015NatSR...510312B. doi:10.1038/srep10312. PMC 4437376. PMID 25988841.
Varma, Sudhir; Simon, Richard (2006). "Bias in error estimation when using cross-validation for model selection". BMC Bioinformatics. 7: 91. doi:10.1186/1471-2105-7-91. PMC 1397873. PMID 16504092.
Moscovich, Amit; Rosset, Saharon (1 September 2022). "On the Cross-Validation Bias due to Unsupervised Preprocessing". Journal of the Royal Statistical Society Series B: Statistical Methodology. 84 (4): 1474–1502. arXiv:1901.08974. doi:10.1111/rssb.12537. S2CID 215745385.
Bergmeir, Christopher; Benitez, Jose (2012). "On the use of cross-validation for time series predictor evaluation". Information Sciences. 191: 192–213. doi:10.1016/j.ins.2011.12.028 – via Elsevier Science Direct.
Politis, Dimitris N.; Romano, Joseph P. (1994). "The Stationary Bootstrap". Journal of the American Statistical Association. 89 (428): 1303–1313. doi:10.1080/01621459.1994.10476870. hdl:10983/25607.
Picard, Richard; Cook, Dennis (1984). "Cross-Validation of Regression Models". Journal of the American Statistical Association. 79 (387): 575–583. doi:10.2307/2288403. JSTOR 2288403.
Willis BH, Riley RD (2017). "Measuring the statistical validity of summary meta-analysis and meta-regression results for use in clinical practice". Statistics in Medicine. 36 (21): 3283–3301. doi:10.1002/sim.7372. PMC 5575530. PMID 28620945.
Riley RD, Ahmed I, Debray TP, Willis BH, Noordzij P, Higgins JP, Deeks JJ (2015). "Summarising and validating test accuracy results across multiple studies for use in clinical practice". Statistics in Medicine. 34 (13): 2081–2103. doi:10.1002/sim.6471. PMC 4973708. PMID 25800943.

elsevier.com

linkinghub.elsevier.com

Xu, Qing-Song; Liang, Yi-Zeng (April 2001). "Monte Carlo cross validation". Chemometrics and Intelligent Laboratory Systems. 56 (1): 1–11. doi:10.1016/S0169-7439(00)00122-2.

handle.net

hdl.handle.net

Politis, Dimitris N.; Romano, Joseph P. (1994). "The Stationary Bootstrap". Journal of the American Statistical Association. 89 (428): 1303–1313. doi:10.1080/01621459.1994.10476870. hdl:10983/25607.

harvard.edu

ui.adsabs.harvard.edu

Trippa, Lorenzo; Waldron, Levi; Huttenhower, Curtis; Parmigiani, Giovanni (March 2015). "Bayesian nonparametric cross-study validation of prediction methods". The Annals of Applied Statistics. 9 (1): 402–428. arXiv:1506.00474. Bibcode:2015arXiv150600474T. doi:10.1214/14-AOAS798. ISSN 1932-6157. S2CID 51943497.
Bermingham, Mairead L.; Pong-Wong, Ricardo; Spiliopoulou, Athina; Hayward, Caroline; Rudan, Igor; Campbell, Harry; Wright, Alan F.; Wilson, James F.; Agakov, Felix; Navarro, Pau; Haley, Chris S. (2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Sci. Rep. 5: 10312. Bibcode:2015NatSR...510312B. doi:10.1038/srep10312. PMC 4437376. PMID 25988841.

heatonresearch.com

"Newbie question: Confused about train, validation and test data!". Heaton Research. December 2010. Archived from the original on 2015-03-14. Retrieved 2013-11-14.

jmlr.org

Cawley, Gavin C.; Talbot, Nicola L. C. (2010). "On Over-fitting in Model Selection and Subsequent Selection Bias in Performance Evaluation" (PDF). Journal of Machine Learning Research. 11: 2079–2107. Archived (PDF) from the original on Feb 4, 2024.

jstor.org

Allen, David M (1974). "The Relationship between Variable Selection and Data Agumentation and a Method for Prediction". Technometrics. 16 (1): 125–127. doi:10.2307/1267500. JSTOR 1267500.
Stone, M (1977). "An Asymptotic Equivalence of Choice of Model by Cross-Validation and Akaike's Criterion". Journal of the Royal Statistical Society, Series B (Methodological). 39 (1): 44–47. doi:10.1111/j.2517-6161.1977.tb01603.x. JSTOR 2984877.
Efron, Bradley; Tibshirani, Robert (1997). "Improvements on cross-validation: The .632 + Bootstrap Method". Journal of the American Statistical Association. 92 (438): 548–560. doi:10.2307/2965703. JSTOR 2965703. MR 1467848.
Stone, Mervyn (1977). "Asymptotics for and against cross-validation". Biometrika. 64 (1): 29–35. doi:10.1093/biomet/64.1.29. JSTOR 2335766. MR 0474601.
Picard, Richard; Cook, Dennis (1984). "Cross-Validation of Regression Models". Journal of the American Statistical Association. 79 (387): 575–583. doi:10.2307/2288403. JSTOR 2288403.

kuleuven.be

lirias.kuleuven.be

Vanwinckelen, Gitte (2 October 2019). On Estimating Model Accuracy with Repeated Cross-Validation. pp. 39–44. ISBN 9789461970442.

nih.gov

pubmed.ncbi.nlm.nih.gov

Molinaro, A. M.; Simon, R.; Pfeiffer, R. M. (2005-08-01). "Prediction error estimation: a comparison of resampling methods". Bioinformatics. 21 (15): 3301–3307. doi:10.1093/bioinformatics/bti499. ISSN 1367-4803. PMID 15905277.
Consortium, MAQC (2010). "The Microarray Quality Control (MAQC)-II study of common practices for the development and validation of microarray-based predictive models". Nature Biotechnology. 28 (8). London: Nature Publishing Group: 827–838. doi:10.1038/nbt.1665. PMC 3315840. PMID 20676074.
Bermingham, Mairead L.; Pong-Wong, Ricardo; Spiliopoulou, Athina; Hayward, Caroline; Rudan, Igor; Campbell, Harry; Wright, Alan F.; Wilson, James F.; Agakov, Felix; Navarro, Pau; Haley, Chris S. (2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Sci. Rep. 5: 10312. Bibcode:2015NatSR...510312B. doi:10.1038/srep10312. PMC 4437376. PMID 25988841.
Varma, Sudhir; Simon, Richard (2006). "Bias in error estimation when using cross-validation for model selection". BMC Bioinformatics. 7: 91. doi:10.1186/1471-2105-7-91. PMC 1397873. PMID 16504092.
Willis BH, Riley RD (2017). "Measuring the statistical validity of summary meta-analysis and meta-regression results for use in clinical practice". Statistics in Medicine. 36 (21): 3283–3301. doi:10.1002/sim.7372. PMC 5575530. PMID 28620945.
Riley RD, Ahmed I, Debray TP, Willis BH, Noordzij P, Higgins JP, Deeks JJ (2015). "Summarising and validating test accuracy results across multiple studies for use in clinical practice". Statistics in Medicine. 34 (13): 2081–2103. doi:10.1002/sim.6471. PMC 4973708. PMID 25800943.

ncbi.nlm.nih.gov

Consortium, MAQC (2010). "The Microarray Quality Control (MAQC)-II study of common practices for the development and validation of microarray-based predictive models". Nature Biotechnology. 28 (8). London: Nature Publishing Group: 827–838. doi:10.1038/nbt.1665. PMC 3315840. PMID 20676074.
Bermingham, Mairead L.; Pong-Wong, Ricardo; Spiliopoulou, Athina; Hayward, Caroline; Rudan, Igor; Campbell, Harry; Wright, Alan F.; Wilson, James F.; Agakov, Felix; Navarro, Pau; Haley, Chris S. (2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Sci. Rep. 5: 10312. Bibcode:2015NatSR...510312B. doi:10.1038/srep10312. PMC 4437376. PMID 25988841.
Varma, Sudhir; Simon, Richard (2006). "Bias in error estimation when using cross-validation for model selection". BMC Bioinformatics. 7: 91. doi:10.1186/1471-2105-7-91. PMC 1397873. PMID 16504092.
Willis BH, Riley RD (2017). "Measuring the statistical validity of summary meta-analysis and meta-regression results for use in clinical practice". Statistics in Medicine. 36 (21): 3283–3301. doi:10.1002/sim.7372. PMC 5575530. PMID 28620945.
Riley RD, Ahmed I, Debray TP, Willis BH, Noordzij P, Higgins JP, Deeks JJ (2015). "Summarising and validating test accuracy results across multiple studies for use in clinical practice". Statistics in Medicine. 34 (13): 2081–2103. doi:10.1002/sim.6471. PMC 4973708. PMID 25800943.

psu.edu

citeseerx.ist.psu.edu

Kohavi, Ron (1995). "A study of cross-validation and bootstrap for accuracy estimation and model selection". Proceedings of the Fourteenth International Joint Conference on Artificial Intelligence. 2 (12). San Mateo, CA: Morgan Kaufmann: 1137–1143. CiteSeerX 10.1.1.48.529.
Cantzler, H. "Random Sample Consensus (RANSAC)". Institute for Perception, Action and Behaviour, Division of Informatics, University of Edinburgh. CiteSeerX 10.1.1.106.3035. Archived from the original on 2023-02-04.

semanticscholar.org

api.semanticscholar.org

Piryonesi S. Madeh; El-Diraby Tamer E. (2020-03-01). "Data Analytics in Asset Management: Cost-Effective Prediction of the Pavement Condition Index". Journal of Infrastructure Systems. 26 (1): 04019036. doi:10.1061/(ASCE)IS.1943-555X.0000512. S2CID 213782055.
Stone, M (1974). "Cross-Validatory Choice and Assessment of Statistical Predictions". Journal of the Royal Statistical Society, Series B (Methodological). 36 (2): 111–147. doi:10.1111/j.2517-6161.1974.tb00994.x. S2CID 62698647.
Trippa, Lorenzo; Waldron, Levi; Huttenhower, Curtis; Parmigiani, Giovanni (March 2015). "Bayesian nonparametric cross-study validation of prediction methods". The Annals of Applied Statistics. 9 (1): 402–428. arXiv:1506.00474. Bibcode:2015arXiv150600474T. doi:10.1214/14-AOAS798. ISSN 1932-6157. S2CID 51943497.
Celisse, Alain (1 October 2014). "Optimal cross-validation in density estimation with the $L^{2}$-loss". The Annals of Statistics. 42 (5): 1879–1910. arXiv:0811.0802. doi:10.1214/14-AOS1240. ISSN 0090-5364. S2CID 17833620.
Arlot, Sylvain; Celisse, Alain (2010). "A survey of cross-validation procedures for model selection". Statistics Surveys. 4: 40–79. arXiv:0907.4728. doi:10.1214/09-SS054. S2CID 14332192. In brief, CV consists in averaging several hold-out estimators of the risk corresponding to different data splits.
Moscovich, Amit; Rosset, Saharon (1 September 2022). "On the Cross-Validation Bias due to Unsupervised Preprocessing". Journal of the Royal Statistical Society Series B: Statistical Methodology. 84 (4): 1474–1502. arXiv:1901.08974. doi:10.1111/rssb.12537. S2CID 215745385.

stackexchange.com

stats.stackexchange.com

Galkin, Alexander (November 28, 2011). "What is the difference between test set and validation set?". Cross Validated. Stack Exchange. Retrieved 10 October 2018.

stanford.edu

web.stanford.edu

"Elements of Statistical Learning: data mining, inference, and prediction. 2nd Edition". web.stanford.edu. Retrieved 2019-04-04.

victorhoornweg.com

Hoornweg, Victor (2018). Science: Under Submission. Hoornweg Press. ISBN 978-90-829188-0-9.

web.archive.org

"Newbie question: Confused about train, validation and test data!". Heaton Research. December 2010. Archived from the original on 2015-03-14. Retrieved 2013-11-14.
Cawley, Gavin C.; Talbot, Nicola L. C. (2010). "On Over-fitting in Model Selection and Subsequent Selection Bias in Performance Evaluation" (PDF). Journal of Machine Learning Research. 11: 2079–2107. Archived (PDF) from the original on Feb 4, 2024.
Cantzler, H. "Random Sample Consensus (RANSAC)". Institute for Perception, Action and Behaviour, Division of Informatics, University of Edinburgh. CiteSeerX 10.1.1.106.3035. Archived from the original on 2023-02-04.

worldcat.org

search.worldcat.org

Trippa, Lorenzo; Waldron, Levi; Huttenhower, Curtis; Parmigiani, Giovanni (March 2015). "Bayesian nonparametric cross-study validation of prediction methods". The Annals of Applied Statistics. 9 (1): 402–428. arXiv:1506.00474. Bibcode:2015arXiv150600474T. doi:10.1214/14-AOAS798. ISSN 1932-6157. S2CID 51943497.
Celisse, Alain (1 October 2014). "Optimal cross-validation in density estimation with the $L^{2}$-loss". The Annals of Statistics. 42 (5): 1879–1910. arXiv:0811.0802. doi:10.1214/14-AOS1240. ISSN 0090-5364. S2CID 17833620.
Molinaro, A. M.; Simon, R.; Pfeiffer, R. M. (2005-08-01). "Prediction error estimation: a comparison of resampling methods". Bioinformatics. 21 (15): 3301–3307. doi:10.1093/bioinformatics/bti499. ISSN 1367-4803. PMID 15905277.