The kriging update equations and their application to the selection of neighboring data

By Xavier Emery. 2009

80 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Ecology, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/64510efdd6299c36c347484cebb46726a8b29d12

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Yew-Soon Ong
2. Michael L. Stein
3. Jianfei Cai
4. Andrew O. Finley
5. Haitao Liu
6. Abhirup Datta
7. Alan E. Gelfand
8. Xiaobo Shen

In Ecology

1. Yew-Soon Ong
2. Michael L. Stein
3. Jianfei Cai
4. Andrew O. Finley
5. Haitao Liu
6. Alan E. Gelfand
7. Xiaobo Shen
8. David Ginsbourger

In Environmental Engineering

1. Abhirup Datta
2. Alan E. Gelfand
3. Andrew O. Finley
4. Sudipto Banerjee
5. David Ginsbourger
6. Victor Picheny
7. Yew-Soon Ong
8. Jianfei Cai

Citations in the corpus

• When Gaussian Process Meets Big Data: A Review of Scalable GPs (2018, methodology): “The simplest way is to use the geometric closeness criteria13 for selection, which, however, are not optimal without considering the spatial correlation [114].”
• Quantile-Based Optimization of Noisy Computer Experiments With Tunable Precision (2013, background): “Indeed, as can be shown in the fashion of Emery (2009), the mean, variance, and weights of the kriging updated with an additional measurement ỹn+1 performed at xn+1 with variance τ 2 n+1 are equal to”
• Corrected Kriging Update Formulae for Batch-Sequential Data Assimilation (2012, unknown): “In this paper we derived corrected Kriging update formulae, fixing the incorrect formulae 2 and 3 given in [2], where a part of the update involving conditional covariances had been neglected.”
• Hierarchical Nearest-Neighbor Gaussian Process Models for Large Geostatistical Datasets (2014, background): “ssian Process (NNGP). Its nite-dimensional realizations have sparse precision matrices available in closed form. While sparsity has been eectively ex3 ploited by Vecchia (1988); Stein et al. (2004); Emory (2009); Gramacy and Apley (2014); Gramacy et al. (2014) and Stroud et al. (2014) for approximat”
• 2010 Rietz lecture: When does the screening effect hold? (2011, background): “This phenomenon is often invoked as a justification for ignoring more distant observations when using kriging [Memarsadeghi and Mount (2007), Emery (2009)].”