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BooST: Boosting Smooth Trees for Partial Effect Estimation in Nonlinear Regressions

Yuri Fonseca, Marcelo Medeiros, Gabriel Vasconcelos, Alvaro Veiga

arXiv 10 Aug 2018 · Statistics — Machine Learning · 5 citations (OpenAlex)

arXiv:1808.03698 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, we introduce a new machine learning (ML) model for nonlinear regression called the Boosted Smooth Transition Regression Trees (BooST), which is a combination of boosting algorithms with smooth transition regression trees. The main advantage of the BooST model is the estimation of the derivatives (partial effects) of very general nonlinear models. Therefore, the model can provide more interpretation about the mapping between the covariates and the dependent variable than other tree-based models, such as Random Forests. We present several examples with both simulated and real data.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Friedman (2001) `Greedy function approximation: a gradient boosting machine', Annals of statistics pp. 1189–12320.87452100%
2Zhang, Yu et al (2005) `Boosting with early stopping: Convergence and consistency', The Annals of Statistics 33(4), 1538–15790.64441100%
3Breiman (2001) `Random forests', Machine learning 45(1), 5–320.64422100%
4Bühlmann (2002) Consistency for l2boosting and matching pursuit with trees and tree-type basis functions, in `Research report/Seminar für Statis…0.64422100%
5Da Rosa, Veiga \ Medeiros (2008) `Tree-structured smooth transition regression models', Computational Statistics & Data Analysis 52(5), 2469–24880.64422100%
wager2014asymptoticunmatched citation key wager2014asymptotic0.51121100%
7Altonji, Ichimura \ Otsu (2012) `Estimating derivatives in nonseparable models with limited dependent variables', Econometrica 80(4), 1701–17190.40511100%
8Bartlett \ Traskin (2007) `Adaboost is consistent', Journal of Machine Learning Research 8(Oct), 2347–23680.40511100%
bissantz2007convergenceunmatched citation key bissantz2007convergence0.40511100%
10Breiman (1996) `Bagging predictors', Machine learning 24(2), 123–1400.40511100%

Showing the top 10 of 27 scored citations. 2 of these could not be matched to a bibliography entry, so only the citation key is shown.

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