Data · dataset · 2026
Schematic of the proposed dual-network physics-informed framework
Listed in ZivaHub and Deakin Research Online and DMU Figshare — shown once because both records carry DOI 10.6084/m9.figshare.34046271.v1
<p dir="ltr">The coordinates $(x,y)$ are provided to two neural networks that simultaneously approximate the solution $\hat{u}$ and the unknown coefficient $\hat{k}$.
Description
We used uniform, Gaussian, and exponential sampling to distribute the PDE collocation points according to the computational domain. Automatic differentiation is used to evaluate the PDE residual, while solution and coefficient data losses are combined with the PDE residual to construct the composite loss.
The two networks are jointly optimized by minimizing the resulting objective using Adam followed by L-BFGS</p>
Links
Where it is published
- DOI doi.org/10.6084/m9.figshare.34046271.v1 ↗
DOI / persistent id · from zivahub uct ac za
Catalogue records · 1
- OAI-PMH record api.figshare.com/v2/oai?verb=GetRecord&metadataPrefix=oai_dc&identifier=oai%3Af… ↗
metadata API · from zivahub uct ac za
Topics
- From keywords
- Computer Science & AI · Computer Science & AI · Computer Science & AI · Earth & Environmental Science · Earth & Environmental Science · Earth & Environmental Science · Mathematics & Statistics · Mathematics & Statistics · Mathematics & Statistics · Physics · Physics · Physics
- Inferred from text
- Neural networks 76%
Provenance · 3 source records, 18 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| ZivaHub | oai:figshare.com:article/34046271 | 12 d ago | JSON v1 |
| Deakin Research Online | oai:figshare.com:article/34046271 | 12 d ago | JSON v1 |
| DMU Figshare | oai:figshare.com:article/34046271 | 12 d ago | JSON v1 |
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|---|---|---|---|
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| concepts[field].local:field:computer-science-ai | mapping · figshare dmu ac uk | connector:figshare_dmu_ac_uk@1.0.0 | |
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| concepts[field].local:field:physics | mapping · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
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| concepts[field].local:field:physics | mapping · figshare dmu ac uk | connector:figshare_dmu_ac_uk@1.0.0 | |
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| publication_date | source · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| title | source · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | /metadata/dc/title |