We define extrapolation as any type of statistical inference on a conditional function (eg, a conditional expectation or conditional quantile) evaluated outside of the support of the …
Y Liu, K De Brabanter - Journal of Machine Learning Research, 2020 - jmlr.org
Derivatives play an important role in bandwidth selection methods (eg, plug-ins), data analysis and bias-corrected confidence intervals. Therefore, obtaining accurate derivative …
M Zhang, W Dai - Statistical Analysis and Data Mining: The …, 2024 - Wiley Online Library
We propose a framework to directly estimate the gradient in multivariate nonparametric regression models that bypasses fitting the regression function. Specifically, we construct the …
WW Wang, P Yu, L Lin, T Tong - Journal of Machine Learning Research, 2019 - jmlr.org
In nonparametric regression, the derivative estimation has attracted much attention in recent years due to its wide applications. In this paper, we propose a new method for the derivative …
S Liu, X Kong - Biometrical Journal, 2024 - Wiley Online Library
In this paper, we propose a general framework to select tuning parameters for the nonparametric derivative estimation. The new framework broadens the scope of the …
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 …
O Savchuk, AA Volinsky - Measurement, 2021 - Elsevier
Thin film residual stress is proportional to substrate curvature change after film deposition, based on Stoney's equation. Curvature is approximately equal to the second derivative of …
Y Liu, K De Brabanter - Advances in Neural Information …, 2018 - proceedings.neurips.cc
We propose a nonparametric derivative estimation method for random design without having to estimate the regression function. The method is based on a variance-reducing …
In the era of big data, there are many data sets recorded in equal intervals of time. To model the change rate of such data, one often constructs a nonparametric regression model and …