Title
Parameter space exploration with Gaussian process trees
Abstract
Computer experiments often require dense sweeps over input parameters to obtain a qualitative understanding of their response. Such sweeps can be prohibitively expensive, and are unnecessary in regions where the response is easy predicted; well-chosen designs could allow a mapping of the response with far fewer simulation runs. Thus, there is a need for computationally inexpensive surrogate models and an accompanying method for selecting small designs. We explore a general methodology for addressing this need that uses non-stationary Gaussian processes. Binary trees partition the input space to facilitate non-stationarity and a Bayesian interpretation provides an explicit measure of predictive uncertainty that can be used to guide sampling. Our methods are illustrated on several examples, including a motivating example involving computational fluid dynamics simulation of a NASA reentry vehicle.
Year
DOI
Venue
2004
10.1145/1015330.1015367
ICML
Keywords
Field
DocType
parameter space exploration,input space,binary tree,computational fluid dynamics simulation,bayesian interpretation,computationally inexpensive surrogate model,accompanying method,gaussian process tree,nasa reentry vehicle,computer experiment,input parameter,fewer simulation,gaussian process,parameter space
Computer experiment,Computer science,Binary tree,Gaussian process,Sampling (statistics),Artificial intelligence,Parameter space,Computational fluid dynamics,Partition (number theory),Machine learning,Bayesian probability
Conference
ISBN
Citations 
PageRank 
1-58113-838-5
24
3.70
References 
Authors
7
3
Name
Order
Citations
PageRank
Robert Gramacy124030.15
Herbert K. H. Lee220934.39
William G. Macready316139.07