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Fifty Years of Classification and Regression Trees
Abstract
Fifty years have passed since the publication of the first regression tree algorithm. New techniques have added capabilities that far surpass those of the early methods. Modern classification trees can partition the data with linear splits on subsets of variables and fit nearest neighbor, kernel density, and other models in the partitions. Regression trees can fit almost every kind of traditional statistical model, including least‐squares, quantile, logistic, Poisson, and proportional hazards models, as well as models for longitudinal and multiresponse data. Greater availability and affordability of software (much of which is free) have played a significant role in helping the techniques gain acceptance and popularity in the broader scientific community. This article surveys the developments and briefly reviews the key ideas behind some of the major algorithms.
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Cites
R: A Language and Environment for Statistical Computing
R Core Team (2025) · doi:10.32614/r.manuals · Cited by 352,181
Breiman, L. (2001) · Machine Learning · doi:10.1023/a:1010933404324 · Cited by 133,538
The Elements of Statistical Learning
Hastie, T., Friedman, J., & Tibshirani, R. (2001) · Springer Series in Statistics · doi:10.1007/978-0-387-21606-5 · Cited by 24,162
Classification and Regression Trees.
Gordon, A. D., Breiman, L., Friedman, J. H., Olshen, R. A., & Stone, C. J. (1984) · Biometrics · doi:10.2307/2530946 · Cited by 23,522
(1992) · Cited by 23,431
Quinlan, J. R. (1986) · Machine Learning · doi:10.1007/bf00116251 · Cited by 21,439
Classification and Regression Trees.
Ryzin, J. V., Breiman, L., Friedman, J. H., Olshen, R. A., & Stone, C. J. (1986) · Journal of the American Statistical Association · doi:10.2307/2288003 · Cited by 20,825
Multiple Imputation for Nonresponse in Surveys
Rubin, D. B. (1987) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316696 · Cited by 20,701
A decision-theoretic generalization of on-line learning and an application to boosting
Freund, Y., & Schapire, R. E. (1997) · Journal of Computer and System Sciences · doi:10.1006/jcss.1997.1504 · Cited by 20,466
The WEKA data mining software: an update
Hall, M., Frank, E., Holmes, G., Pfahringer, B., Reutemann, P., & Witten, I. H. (2009) · ACM SIGKDD Explorations Newsletter · doi:10.1145/1656274.1656278 · Cited by 17,750
Research works printed but not linked: 37
- 10.1002/bimj.4710360106 · doi:10.1002/bimj.4710360106
- 10.1080/03610929408831245 · DOI
- 10.1080/03610929608831696 · doi:10.1080/03610929608831696
- 10.1016/0167-9473(95)00023-2 · doi:10.1016/0167-9473(95)00023-2
- 10.2307/2533948 · doi:10.2307/2533948
- 10.2307/2533389 · DOI
- Alexander W. P., 1996, Treed regression, J. Comput. Graph. Stat., 5, 156, 10.1080/10618600.1996.10474702 · doi:10.1080/10618600.1996.10474702
- 10.1007/BF00985256 · doi:10.1007/bf00985256
- 10.1016/0167-8655(96)00033-5 · doi:10.1016/0167-8655(96)00033-5
- 10.1016/S0167-9473(01)00098-6 · doi:10.1016/s0167-9473(01)00098-6
- Chaudhuri P., 1995, Generalized regression trees, Stat. Sinica, 5, 641
- Chaudhuri P., 2002, Nonparametric estimation of conditional quantiles using quantile regression trees, Bernoulli, 8, 561
- 10.1109/TSMCA.2008.918598 · doi:10.1109/tsmca.2008.918598
- 10.1016/j.csda.2004.06.011 · doi:10.1016/j.csda.2004.06.011
- 10.1016/0167-9473(91)90103-9 · doi:10.1016/0167-9473(91)90103-9
- 10.1002/sim.1106 · doi:10.1002/sim.1106
- 10.1214/lnms/1215452213 · doi:10.1214/lnms/1215452213
- 10.1057/jors.1973.81 · doi:10.1057/jors.1973.81
- Gehrke J., 2009, Encyclopedia of Database Systems, 2469, 10.1007/978-0-387-39940-9_555 · doi:10.1007/978-0-387-39940-9_555
- Hoaglin D. C., 1995, A critical look at some analyses of major league baseball salaries, Am. Stat., 49, 277, 10.1080/00031305.1995.10476165 · doi:10.1080/00031305.1995.10476165
- 10.1016/j.csda.2004.06.019 · doi:10.1016/j.csda.2004.06.019
- 10.1177/0272989X04271048 · doi:10.1177/0272989x04271048
- Kooperberg C., 1997, Polychotomous regression, J. Amer. Statist. Assoc., 92, 117, 10.1080/01621459.1997.10473608 · doi:10.1080/01621459.1997.10473608
- 10.1016/0167-9473(91)90113-G · doi:10.1016/0167-9473(91)90113-g
- 10.1214/074921706000000464 · doi:10.1214/074921706000000464
- 10.1007/978-3-540-33037-0_18 · doi:10.1007/978-3-540-33037-0_18
- Loh W.‐Y., 2012, Probability approximations and beyond, 133
- Loh W.‐Y., 2007, Extrapolation errors in linear model trees, ACM Trans. On Knowledge Disc. From Data, 1
- 10.1109/T-C.1973.223603 · doi:10.1109/t-c.1973.223603
- 10.1109/TC.1977.1674938 · doi:10.1109/tc.1977.1674938
- Sela R. J., 2011, Reemtree: Regression trees with random effects
- 10.1016/0031-3203(77)90004-8 · doi:10.1016/0031-3203(77)90004-8
- Therneau T. M., 2011, rpart: Recursive partitioning
- 10.1109/72.963795 · doi:10.1109/72.963795
- 10.1142/S0218001405004125 · doi:10.1142/s0218001405004125
- 10.1007/11564096_45 · doi:10.1007/11564096_45
- 10.2307/1390825 · doi:10.2307/1390825
Cited by
A review on longitudinal data analysis with random forest
Hu, J., & Szymczak, S. (2023) · Briefings in Bioinformatics · doi:10.1093/bib/bbad002 · Cited by 678
Computational design optimization of concrete mixtures: A review
DeRousseau, M. A., Kasprzyk, J. R., & Srubar, W. V. (2018) · Cement and Concrete Research · doi:10.1016/j.cemconres.2018.04.007 · Cited by 359
Feature Importance in Gradient Boosting Trees with Cross-Validation Feature Selection
Adler, A. I., & Painsky, A. (2022) · Entropy · doi:10.3390/e24050687 · Cited by 149
Machine Learning in Human Olfactory Research
Lötsch, J., Kringel, D., & Hummel, T. (2019) · Chemical Senses · doi:10.1093/chemse/bjy067 · Cited by 71
Ryu, H., Kim, S., Kim, D., Han, S., Lee, K., & Kang, Y. (2020) · Proceedings of the ACM on Human-Computer Interaction · doi:10.1145/3415223 · Cited by 66
Metadata
- Authors
- Loh, W.
- Venue
- International Statistical Review
- Publisher
- Wiley
- Published
- 2014-06-30
- Volume
- 82
- Issue
- 3
- Pages
- 329-348
- ISSN
- 0306-7734 (ISSN-L)
- 1751-5823
- OpenAlex
- W1519043595
- Cited by
- 649
- References
- 161
- FWCI
- 49.93
- Type
- journal article
- Language
- en
- Open access
- closed
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