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cs.LG2026
Hypernetwork-Parameterized Spatially Adaptive Neural Operators for PDE Learning
Jiaquan Zhang, Chaoning Zhang, Shuxu Chen +7
Spatially heterogeneous partial differential equations (PDEs) exhibit location-dependent dynamics arising from variations in geometry and physical coefficients. Existing neural ope…
cs.LG2026
Rethinking Input Domains in Physics-Informed Neural Networks via Geometric Compactification Mappings
Zhenzhen Huang, Haoyu Bian, Jiaquan Zhang +6
Several complex physical systems are governed by multi-scale partial differential equations (PDEs) that exhibit both smooth low-frequency components and localized high-frequency st…