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Active operator learning with predictive uncertainty quantification for partial differential equations

delete2026-02-21
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PRE
AI
N
Nick Winovich
M
Mitchell Daneker
L
Lu Lu
G
Guang Lin
DOI:10.1016/j.jcp.2026.114791delete
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Abstract

Abstract

En 中文
• Deep neural operators are equipped with predictive uncertainties to accurately estimate errors. • Uncertainty predictions generalize to out-of-distribution data and function spaces. • We introduce an optimized inference implementation suited for real-time applications. • Predictive uncertainties are used to accelerate active learning in function spaces.
Keywords:
Deep neural operators
Predictive uncertainty
Active learning
Partial differential equations
Uncertainty quantification

Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.6W
Citations:
7.4W

Organization

P
purdue university
Scholars:
1.5K
Papers: 749
Citations: 1
Y
yale university
Scholars:
8.2K
Papers: 3.5K
Citations: 2
S
Sandia National Laboratories
Scholars:
5.5K
Papers: 3.8K
Citations: 6.4K
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Cited Papers

Cited Papers

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Deep transfer operator learning for partial differential equations under conditional shift
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PREAI
errGoswami, Somdatta; Kontolati, Katiana; Shields, Michael D. D.; Karniadakis, George Em
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Neural operator prediction of linear instability waves in high-speed boundary layers
err2023-02-01
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errDi Leoni, Patricio Clark; Lu, Lu; Meneveau, Charles; Karniadakis, George Em; Zaki, Tamer A.
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