3 papers
math.ST2026
What Functions Does XGBoost Learn?
Dohyeong Ki, Adityanand Guntuboyina
This paper establishes a rigorous theoretical foundation for the function class implicitly learned by XGBoost, bridging the gap between its empirical success and our theoretical un…
math.ST2025
Totally Concave Regression
Dohyeong Ki, Adityanand Guntuboyina
Shape constraints in nonparametric regression provide a powerful framework for estimating regression functions under realistic assumptions without tuning parameters. However, most…
math.ST2024
MARS via LASSO
Dohyeong Ki, Billy Fang, Adityanand Guntuboyina
Multivariate adaptive regression splines (MARS) is a popular method for nonparametric regression introduced by Friedman in 1991. MARS fits simple nonlinear and non-additive functio…