Sparse RFNNs with sSVD via Lanczos-Golub-Kahan bidiagonalization maintain accuracy while improving efficiency and robustness for 1D steady convection-diffusion equations with strong advection.
Scientific machine learning through physics–informed neural networks: Where we are and what’s next
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A cross-section-based scaling of the loss function accelerates convergence and improves accuracy for MF-PINNs on neutron diffusion problems across 1D-3D and fixed-source to eigenvalue cases.
φ-DeepONet learns mappings with discontinuities in inputs and outputs by combining multiple branch networks with a nonlinear interface embedding in the trunk, trained via physics- and interface-informed loss, and shows accurate results on 1D/2D benchmarks.
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