An adaptive adjoint-oriented neural network for solving parametric optimal control problems with singularities
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908725579612160 |
|---|---|
| author | Yuan, Zikang Wang, Guanjie Liao, Qifeng |
| author_facet | Yuan, Zikang Wang, Guanjie Liao, Qifeng |
| contents | In this work, we present an adaptive adjoint-oriented neural network (adaptive AONN) for solving parametric optimal control problems governed by partial differential equations. The proposed method integrates deep adaptive sampling techniques with the adjoint-oriented neural network (AONN) framework. It alleviates the limitations of AONN in handling low-regularity solutions and enhances the generalizability of deep adaptive sampling for surrogate modeling without labeled data ($\text{DAS}^2$). The effectiveness of the adaptive AONN is demonstrated through numerical examples involving singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An adaptive adjoint-oriented neural network for solving parametric optimal control problems with singularities Yuan, Zikang Wang, Guanjie Liao, Qifeng Optimization and Control 49M41, 68T07, 62D05 In this work, we present an adaptive adjoint-oriented neural network (adaptive AONN) for solving parametric optimal control problems governed by partial differential equations. The proposed method integrates deep adaptive sampling techniques with the adjoint-oriented neural network (AONN) framework. It alleviates the limitations of AONN in handling low-regularity solutions and enhances the generalizability of deep adaptive sampling for surrogate modeling without labeled data ($\text{DAS}^2$). The effectiveness of the adaptive AONN is demonstrated through numerical examples involving singularities. |
| title | An adaptive adjoint-oriented neural network for solving parametric optimal control problems with singularities |
| topic | Optimization and Control 49M41, 68T07, 62D05 |
| url | https://arxiv.org/abs/2512.18548 |