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math.ST2020
Reduced Rank Multivariate Kernel Ridge Regression
Wenjia Wang, Yi-Hui Zhou
In the multivariate regression, also referred to as multi-task learning in machine learning, the goal is to recover a vector-valued function based on noisy observations. The vector…
math.ST2020
Gaussian Processes with Input Location Error and Applications to the Composite Parts Assembly Process
Wenjia Wang, Xiaowei Yue, Benjamin Haaland +1
In this paper, we investigate Gaussian process modeling with input location error, where the inputs are corrupted by noise. Here, the best linear unbiased predictor for two cases i…
math.ST2019
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…