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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Zhenye Wen

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Open access Aug 2026

Unsupervised Operator Learning Approach for Dissipative Equations via Onsager Principle

The deep Onsager operator learning (DOOL) method is proposed, a novel unsupervised framework for solving dissipative equations Rooted in the Onsager variational principle, DOOL trains a deep operator network by directly minimizing the OVP-defined Rayleighian functional, requiring no labeled data, and then proceeds in t...

Zhipeng Chang, Zhenye Wen, Xiao-Fei Zhao · 0 citations
Preprint Aug 2026

Multi-stage neural operator learning with application for convolutions

Two general multi-stage neural operator learning frameworks applicable when the target operator can be represented by a PDE, leveraging the weak form of the PDE residual for training are introduced.

Zhiping Mao, Zhenye Wen, Yong Zhang et al. · 0 citations

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