HESSIAN-BASED SAMPLING FOR HIGH-DIMENSIONAL MODEL REDUCTION

Volume: 9, Issue: 2, Pages: 103 - 121
Published: Jan 1, 2019
Abstract
In this work we develop a Hessian-based sampling method for the construction of goal-oriented reduced order models with high-dimensional parameter inputs. Model reduction is known very challenging for high-dimensional parametric problems whose solutions also live in high-dimensional manifolds. However, the manifold of some quantity of interest (QoI) depending on the parametric solutions may be low-dimensional. We use the Hessian of the QoI with...
Paper Details
Title
HESSIAN-BASED SAMPLING FOR HIGH-DIMENSIONAL MODEL REDUCTION
Published Date
Jan 1, 2019
Volume
9
Issue
2
Pages
103 - 121
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