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M. Esmaeilbeigi

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Review Open access Aug 2026

Advancements and Future Directions in Loss Function Designs for Physics-Informed Neural Networks: A Comprehensive Review

This review synthesizes recent advances in loss function designs for Physics-Informed Neural Networks (PINNs), a transformative approach to solving partial differential equations (PDEs) by embedding physical laws into deep learning frameworks, to equip researchers with insights to refine PINN methodologies.

M. Esmaeilbeigi, Daniela Annunziata, Salvatore Cuomo et al. · 0 citations
Review Open access Aug 2026

Advancements and Future Directions in Loss Function Designs for Physics-Informed Neural Networks: A Comprehensive Review

This review synthesizes recent advances in loss function designs for Physics-Informed Neural Networks (PINNs), a transformative approach to solving partial differential equations (PDEs) by embedding physical laws into deep learning frameworks. We begin by exploring the foundational role of loss functions in deep neural...

M. Esmaeilbeigi, Daniela Annunziata, Salvatore Cuomo et al. · 0 citations

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