# Emulation methods and adaptive sampling increase the efficiency of sensitivity analysis for computationally expensive models

## TL;DR

This paper compares emulation and adaptive sampling methods for sensitivity analysis of computationally expensive models, showing that they can be more efficient than traditional Sobol' methods, especially for slow or high-dimensional models.

## Contribution

It provides a comparative analysis of four global sensitivity analysis methods, highlighting the efficiency of emulation and adaptive sampling techniques for complex models.

## Key findings

- Bayesian adaptive spline surface method is the fastest for slow and high-dimensional models.
- Emulation and adaptive sampling are faster than Sobol' for slow models.
- Results guide method choice under computational constraints.

## Abstract

Models with high-dimensional parameter spaces are common in many applications. Global sensitivity analyses can provide insights on how uncertain inputs and interactions influence the outputs. Many sensitivity analysis methods face nontrivial challenges for computationally demanding models. Common approaches to tackle these challenges are to (i) use a computationally efficient emulator and (ii) sample adaptively. However, these approaches still involve potentially large computational costs and approximation errors. Here we compare the results and computational costs of four existing global sensitivity analysis methods applied to a test problem. We sample different model evaluation time and numbers of model parameters. We find that the emulation and adaptive sampling approaches are faster than Sobol' method for slow models. The Bayesian adaptive spline surface method is the fastest for most slow and high-dimensional models. Our results can guide the choice of a sensitivity analysis method under computational resources constraints.

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Source: https://tomesphere.com/paper/2302.12738