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cs.SD2025
HergNet: a Fast Neural Surrogate Model for Sound Field Predictions via Superposition of Plane Waves
Matteo Calafà, Yuanxin Xia, Cheol-Ho Jeong
We present a novel neural network architecture for the efficient prediction of sound fields in two and three dimensions. The network is designed to automatically satisfy the Helmho…
cs.CE2025
A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains
Matteo Calafà, Tito Andriollo, Allan P. Engsig-Karup +1
Physics-informed holomorphic neural networks (PIHNNs) have recently emerged as efficient surrogate models for solving differential problems. By embedding the underlying problem str…