Derivative-based global sensitivity analysis for models with high-dimensional inputs and functional outputs

02/12/2019
by   Helen L. Cleaves, et al.
0

We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs. We combine ideas from derivative-based GSA, random field representation via Karhunen--Loève expansions, and adjoint-based gradient computation to provide a scalable computational framework for computing the proposed derivative-based GSA measures. We illustrate the strategy for a nonlinear ODE model of cholera epidemics and for elliptic PDEs with application examples from geosciences and biotransport.

READ FULL TEXT
research
05/31/2023

Sensitivity Analysis of High-Dimensional Models with Correlated Inputs

Sensitivity analysis is an important tool used in many domains of comput...
research
02/18/2023

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

Models with high-dimensional parameter spaces are common in many applica...
research
04/05/2022

Sliced gradient-enhanced Kriging for high-dimensional function approximation

Gradient-enhanced Kriging (GE-Kriging) is a well-established surrogate m...
research
06/16/2018

Sensitivity-driven adaptive construction of reduced-space surrogates

We develop a systematic approach for surrogate model construction in red...
research
01/21/2021

Improving D-Optimality in Nonlinear Situations

Experimental designs based on the classical D-optimal criterion minimize...
research
12/16/2019

PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis

We present a new software system PETSc TSAdjoint for first-order and sec...
research
04/12/2022

NARX Identification using Derivative-Based Regularized Neural Networks

This work presents a novel regularization method for the identification ...

Please sign up or login with your details

Forgot password? Click here to reset