Random forest

Random forests or random decision forests are an ensemble learning method for classification, regression and other tasks that operate by constructing a multitude of decision trees at training time and outputting the class that is the mode of the classes (classification) or mean prediction (regression) of the individual trees.[1][2] Random decision forests correct for decision trees' habit of overfitting to their training set.[3]:587–588

The first algorithm for random decision forests was created by Tin Kam Ho[1] using the random subspace method,[2] which, in Ho's formulation, is a way to implement the "stochastic discrimination" approach to classification proposed by Eugene Kleinberg.[4][5][6]

An extension of the algorithm was developed by Leo Breiman[7] and Adele Cutler,[8] who registered[9] "Random Forests" as a trademark (as of 2019, owned by Minitab, Inc.).[10] The extension combines Breiman's "bagging" idea and random selection of features, introduced first by Ho[1] and later independently by Amit and Geman[11] in order to construct a collection of decision trees with controlled variance.

  1. ^ a b c Ho, Tin Kam (1995). Random Decision Forests (PDF). Proceedings of the 3rd International Conference on Document Analysis and Recognition, Montreal, QC, 14–16 August 1995. pp. 278–282. Archived from the original (PDF) on 17 April 2016. Retrieved 5 June 2016.
  2. ^ a b Ho TK (1998). "The Random Subspace Method for Constructing Decision Forests" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 20 (8): 832–844. doi:10.1109/34.709601.
  3. ^ Cite error: The named reference elemstatlearn was invoked but never defined (see the help page).
  4. ^ Kleinberg E (1990). "Stochastic Discrimination" (PDF). Annals of Mathematics and Artificial Intelligence. 1 (1–4): 207–239. CiteSeerX 10.1.1.25.6750. doi:10.1007/BF01531079.
  5. ^ Kleinberg E (1996). "An Overtraining-Resistant Stochastic Modeling Method for Pattern Recognition". Annals of Statistics. 24 (6): 2319–2349. doi:10.1214/aos/1032181157. MR 1425956.
  6. ^ Kleinberg E (2000). "On the Algorithmic Implementation of Stochastic Discrimination" (PDF). IEEE Transactions on PAMI. 22 (5): 473–490. CiteSeerX 10.1.1.33.4131. doi:10.1109/34.857004.
  7. ^ Breiman L (2001). "Random Forests". Machine Learning. 45 (1): 5–32. doi:10.1023/A:1010933404324.
  8. ^ Cite error: The named reference rpackage was invoked but never defined (see the help page).
  9. ^ U.S. trademark registration number 3185828, registered 2006/12/19.
  10. ^ "RANDOM FORESTS Trademark of Health Care Productivity, Inc. - Registration Number 3185828 - Serial Number 78642027 :: Justia Trademarks".
  11. ^ Amit Y, Geman D (1997). "Shape quantization and recognition with randomized trees" (PDF). Neural Computation. 9 (7): 1545–1588. CiteSeerX 10.1.1.57.6069. doi:10.1162/neco.1997.9.7.1545.

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