Machine Learning · Computer Science
Challenges in Training PINNs: A Loss Landscape Perspective
Pratik Rathore, Weimu Lei, Zachary Frangella, Lu Lu +1
2024-06-05
Numerical Analysis · Mathematics
About optimal loss function for training physics-informed neural networks under respecting causality
Vasiliy A. Es'kin, Danil V. Davydov, Ekaterina D. Egorova, Alexey O. Malkhanov +2
2025-04-02
Machine Learning · Computer Science
PINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss
Fabian Heldmann, Sarah Berkhahn, Matthias Ehrhardt, Kathrin Klamroth
2023-06-14
Machine Learning · Computer Science
A practical PINN framework for multi-scale problems with multi-magnitude loss terms
Yong Wang, Yanzhong Yao, Jiawei Guo, Zhiming Gao
2024-12-18
Numerical Analysis · Mathematics
Deep learning for full-field ultrasonic characterization
Yang Xu, Fatemeh Pourahmadian, Jian Song, Conglin Wang
2023-10-20
Numerical Analysis · Mathematics
Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time
Yanxia Qian, Yongchao Zhang, Yunqing Huang, Suchuan Dong
2023-03-23
Machine Learning · Computer Science
Enhancing Stability of Physics-Informed Neural Network Training Through Saddle-Point Reformulation
Dmitry Bylinkin, Mikhail Aleksandrov, Savelii Chezhegov, Aleksandr Beznosikov
2025-09-30
Machine Learning · Computer Science
Characterizing possible failure modes in physics-informed neural networks
Aditi S. Krishnapriyan, Amir Gholami, Shandian Zhe, Robert M. Kirby +1
2021-11-12
Machine Learning · Computer Science
A Convexity-dependent Two-Phase Training Algorithm for Deep Neural Networks
Tomas Hrycej, Bernhard Bermeitinger, Massimo Pavone, Götz-Henrik Wiegand +1
2025-10-31
Machine Learning · Computer Science
Competitive Physics Informed Networks
Qi Zeng, Yash Kothari, Spencer H. Bryngelson, Florian Schäfer
2024-04-11