38 citations · 87 across the 35 of their papers we have counts for
7 papers · 1 filter
Asymptotic Theory for Linear Functionals of Kernel Ridge Regression
Rui Tuo, Lu Zou
An asymptotic theory is established for linear functionals of the predictive function given by kernel ridge regression, when the reproducing kernel Hilbert space is equivalent to a…
Uncertainty Quantification for Bayesian Optimization
Rui Tuo, Wenjia Wang
Bayesian optimization is a class of global optimization techniques. In Bayesian optimization, the underlying objective function is modeled as a realization of a Gaussian process. A…
On the Improved Rates of Convergence for Matérn-type Kernel Ridge Regression, with Application to Calibration of Computer Models
Rui Tuo, Yan Wang, C. F. Jeff Wu
Kernel ridge regression is an important nonparametric method for estimating smooth functions. We introduce a new set of conditions, under which the actual rates of convergence of t…
Kriging prediction with isotropic Matérn correlations: Robustness and experimental design
Rui Tuo, Wenjia Wang
This work investigates the prediction performance of the kriging predictors. We derive some error bounds for the prediction error in terms of non-asymptotic probability under the u…
Differentially Private Change-Point Detection
Rachel Cummings, Sara Krehbiel, Yajun Mei +2
The change-point detection problem seeks to identify distributional changes at an unknown change-point k* in a stream of data. This problem appears in many important practical sett…
On Prediction Properties of Kriging: Uniform Error Bounds and Robustness
Wenjia Wang, Rui Tuo, C. F. Jeff Wu
Kriging based on Gaussian random fields is widely used in reconstructing unknown functions. The kriging method has pointwise predictive distributions which are computationally simp…
Prediction based on the Kennedy-O'Hagan calibration model: asymptotic consistency and other properties
Rui Tuo, C. F. Jeff Wu
Kennedy and O'Hagan (2001) propose a model for calibrating some unknown parameters in a computer model and estimating the discrepancy between the computer output and physical respo…