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Self-Test Loss Functions for Learning Weak-Form Operators and Gradient Flows

Published Online: 2026-06-05

Published Print: 2026-07

Authors

Gao, Yuan

Lang, Quanjun

Lu, Fei https://orcid.org/0000-0001-6842-7922
Funding

Funding for this research was provided by:

National Science Foundation (DMS-2204288)

National Science Foundation (DMS-2238486, DMS-2511283)
License Information

Text and Data Mining valid from 2026-06-05

Version of Record valid from 2026-06-05
More Information

Article History

Received: 3 January 2025

Revised: 13 December 2025

Accepted: 23 May 2026

First Online: 5 June 2026

Declarations

:

: The authors declare that they have no conflict of interest.

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