Reply to Nock and Nielsen: On the work of Nock and Nielsen and its relationship to the additive tree

Gilmer Valdés, José Marcio Luna, Efstathios D. Gennatas, Lyle Ungar, Eric R. Eaton, Eric S. Diffenderfer, Shane T. Jensen, Charles B. Simone, Jerome H. Friedman, Timothy D. Solberg · Proceedings of the National Academy of Sciences · 2020

The observation that decision trees are boosting algorithms, as cited in our work (1) and acknowledged by Nock and Nielsen (2), was first established by refs. 3 and 4. This was later used by refs. 5 and 6 to develop, to the best of our knowledge, the first decision tree algorithms based purely on boosting. This work, cited in our article, precedes refs. 7 and 8 cited by Nock and Nielsen (2). The original and important contributions of refs. 7 and 8 as they pertain to this discussion was to theoretically prove convergence rates for decision tree algorithms built with boosting, along with … [↵][1]1To whom correspondence may be addressed. Email: gilmer.valdes{at}ucsf.edu. [1]: #xref-corresp-1-1

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