# Adjustments to Computer Models via Projected Kernel Calibration

arXiv: https://arxiv.org/abs/1705.03422 · HTML: https://mlsanity.com/paper/1705.03422/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 9 May 2017.

## Built on by (most cited first, 2 of 2)

- [Rational Kriging](https://mlsanity.com/paper/2312.05372/) (2023)
- [Should We Simultaneously Calibrate Multiple Computer Models?](https://mlsanity.com/paper/2505.18176/) (2025)

## Abstract (arXiv)

Identification of model parameters in computer simulations is an important topic in computer experiments. We propose a new method, called the projected kernel calibration method, to estimate these model parameters. The proposed method is proven to be asymptotic normal and semi-parametric efficient. As a frequentist method, the proposed method is as efficient as the L2 calibration method proposed by Tuo and Wu [Ann. Statist. 43 (2015) 2331-2352]. On the other hand, the proposed method has a natural Bayesian version, which the L2 method does not have. This Bayesian version allows users to calculate the credible region of the calibration parameters without using a large sample approximation. We also show that, the inconsistency problem of the calibration method proposed by Kennedy and O'Hagan [J. R. Stat. Soc. Ser. B. Stat. Methodol. 63 (2001) 425-464] can be rectified by a simple modification of the kernel matrix.