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

Celisse, Alain (October 2014). "Optimal cross-validation in density estimation with the L²-loss". The Annals of Statistics. 42 (5). arXiv:0811.0802. doi:10.1214/14-AOS1240.
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. In brief, CV consists in averaging several hold-out estimators of the risk corresponding to different data splits.
Moscovich, Amit; Rosset, Saharon (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.

cmu.edu

cs.cmu.edu

"Cross Validation". Retrieved 11 November 2012.^{[self-published source?]}

doi.org

Piryonesi, S. Madeh; El-Diraby, Tamer E. (March 2020). "Data Analytics in Asset Management: Cost-Effective Prediction of the Pavement Condition Index". Journal of Infrastructure Systems. 26 (1). doi:10.1061/(ASCE)IS.1943-555X.0000512.
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: Statistical Methodology. 36 (2): 111–133. doi:10.1111/j.2517-6161.1974.tb00994.x.
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.
Seni, Giovanni; Elder, John F. (January 2010). "Ensemble Methods in Data Mining: Improving Accuracy Through Combining Predictions". Synthesis Lectures on Data Mining and Knowledge Discovery. 2 (1): 1–126. doi:10.2200/S00240ED1V01Y200912DMK002.
Celisse, Alain (October 2014). "Optimal cross-validation in density estimation with the L²-loss". The Annals of Statistics. 42 (5). arXiv:0811.0802. doi:10.1214/14-AOS1240.
Airola, Antti; Pahikkala, Tapio; Waegeman, Willem; De Baets, Bernard; Salakoski, Tapio (April 2011). "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, Annette M.; Simon, Richard; Pfeiffer, Ruth M. (August 2005). "Prediction error estimation: a comparison of resampling methods". Bioinformatics. 21 (15): 3301–3307. doi:10.1093/bioinformatics/bti499. PMID 15905277.
Analyzing Microarray Gene Expression Data. Wiley Series in Probability and Statistics. Wiley. 2004. doi:10.1002/047172842X. ISBN 978-0-471-22616-1.^{[page needed]}
The Elements of Statistical Learning. Springer Series in Statistics. 2009. doi:10.1007/978-0-387-84858-7. ISBN 978-0-387-84857-0.^{[page needed]}
Soper, Daniel S. (16 August 2021). "Greed Is Good: Rapid Hyperparameter Optimization and Model Selection Using Greedy k-Fold Cross Validation". 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. 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.
Simon, Richard (2007). "Resampling Strategies for Model Assessment and Selection". Fundamentals of Data Mining in Genomics and Proteomics. pp. 173–186. doi:10.1007/978-0-387-47509-7_8. ISBN 978-0-387-47508-0.
Kuhn, Max; Johnson, Kjell (2013). Applied Predictive Modeling. doi:10.1007/978-1-4614-6849-3. ISBN 978-1-4614-6848-6.^{[page needed]}
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.
Shi, L.; et al. (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): 827–838. doi:10.1038/nbt.1665. PMC 3315840. PMID 20676074.
Bermingham, M. L.; Pong-Wong, R.; Spiliopoulou, A.; Hayward, C.; Rudan, I.; Campbell, H.; Wright, A. F.; Wilson, J. F.; Agakov, F.; Navarro, P.; Haley, C. S. (19 May 2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Scientific Reports. 5 (1): 10312. Bibcode:2015NatSR...510312B. doi:10.1038/srep10312. PMC 4437376. PMID 25988841.
Varma, Sudhir; Simon, Richard (December 2006). "Bias in error estimation when using cross-validation for model selection". BMC Bioinformatics. 7 (1): 91. doi:10.1186/1471-2105-7-91. PMC 1397873. PMID 16504092.
Moscovich, Amit; Rosset, Saharon (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.
Bergmeir, Christoph; Benítez, José M. (May 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.
Politis, Dimitris N.; Romano, Joseph P. (December 1994). "The Stationary Bootstrap". Journal of the American Statistical Association. 89 (428): 1303–1313. doi:10.1080/01621459.1994.10476870. hdl:10983/25607.
The Elements of Statistical Learning. Springer Series in Statistics. 2009. doi:10.1007/978-0-387-84858-7. ISBN 978-0-387-84857-0.^{[page needed]}
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, Brian H.; Riley, Richard D. (20 September 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, Richard D.; Ahmed, Ikhlaaq; Debray, Thomas P. A.; Willis, Brian H.; Noordzij, J. Pieter; Higgins, Julian P.T.; Deeks, Jonathan J. (15 June 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.

ed.ac.uk

homepages.inf.ed.ac.uk

Cantzler, H. Random Sample Consensus (RANSAC) (PDF) (Report).^{[self-published source?]}

handle.net

hdl.handle.net

Politis, Dimitris N.; Romano, Joseph P. (December 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

Bermingham, M. L.; Pong-Wong, R.; Spiliopoulou, A.; Hayward, C.; Rudan, I.; Campbell, H.; Wright, A. F.; Wilson, J. F.; Agakov, F.; Navarro, P.; Haley, C. S. (19 May 2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Scientific Reports. 5 (1): 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.^{[self-published source?]}

ijcai.org

Kohavi, Ron (20 August 1995). "A study of cross-validation and bootstrap for accuracy estimation and model selection" (PDF). Proceedings of the 14th international joint conference on Artificial intelligence. Vol. 2. Morgan Kaufmann Publishers. pp. 1137–1143. ISBN 978-1-55860-363-9.

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.

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; Blockeel, Hendrik (2012). "On Estimating Model Accuracy with Repeated Cross-Validation". BeneLearn 2012: Proceedings of the 21st Belgian-Dutch Conference on Machine Learning. pp. 39–44. ISBN 978-94-6197-044-2.

nih.gov

pubmed.ncbi.nlm.nih.gov

Molinaro, Annette M.; Simon, Richard; Pfeiffer, Ruth M. (August 2005). "Prediction error estimation: a comparison of resampling methods". Bioinformatics. 21 (15): 3301–3307. doi:10.1093/bioinformatics/bti499. PMID 15905277.
Shi, L.; et al. (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): 827–838. doi:10.1038/nbt.1665. PMC 3315840. PMID 20676074.
Bermingham, M. L.; Pong-Wong, R.; Spiliopoulou, A.; Hayward, C.; Rudan, I.; Campbell, H.; Wright, A. F.; Wilson, J. F.; Agakov, F.; Navarro, P.; Haley, C. S. (19 May 2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Scientific Reports. 5 (1): 10312. Bibcode:2015NatSR...510312B. doi:10.1038/srep10312. PMC 4437376. PMID 25988841.
Varma, Sudhir; Simon, Richard (December 2006). "Bias in error estimation when using cross-validation for model selection". BMC Bioinformatics. 7 (1): 91. doi:10.1186/1471-2105-7-91. PMC 1397873. PMID 16504092.
Willis, Brian H.; Riley, Richard D. (20 September 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, Richard D.; Ahmed, Ikhlaaq; Debray, Thomas P. A.; Willis, Brian H.; Noordzij, J. Pieter; Higgins, Julian P.T.; Deeks, Jonathan J. (15 June 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

Shi, L.; et al. (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): 827–838. doi:10.1038/nbt.1665. PMC 3315840. PMID 20676074.
Bermingham, M. L.; Pong-Wong, R.; Spiliopoulou, A.; Hayward, C.; Rudan, I.; Campbell, H.; Wright, A. F.; Wilson, J. F.; Agakov, F.; Navarro, P.; Haley, C. S. (19 May 2015). "Application of high-dimensional feature selection: evaluation for genomic prediction in man". Scientific Reports. 5 (1): 10312. Bibcode:2015NatSR...510312B. doi:10.1038/srep10312. PMC 4437376. PMID 25988841.
Varma, Sudhir; Simon, Richard (December 2006). "Bias in error estimation when using cross-validation for model selection". BMC Bioinformatics. 7 (1): 91. doi:10.1186/1471-2105-7-91. PMC 1397873. PMID 16504092.
Willis, Brian H.; Riley, Richard D. (20 September 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, Richard D.; Ahmed, Ikhlaaq; Debray, Thomas P. A.; Willis, Brian H.; Noordzij, J. Pieter; Higgins, Julian P.T.; Deeks, Jonathan J. (15 June 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.

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.

victorhoornweg.com

Hoornweg, Victor (2018). Science: Under Submission (PDF). Hoornweg Press. ISBN 978-90-829188-0-9.^{[page needed]}^{[self-published source?]}

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.^{[self-published source?]}

wiley.com

nsojournals.onlinelibrary.wiley.com

Cross-validation strategies for data with temporal, spatial, hierarchical, or phylogenetic structure https://nsojournals.onlinelibrary.wiley.com/doi/10.1111/ecog.02881