Concepedia

A framework based on symbolic regression coupled with eXtended Physics-Informed Neural Networks for gray-box learning of equations of motion from data

Elham Kiyani, Khemraj Shukla, George Em Karniadakis, Mikko Karttunen

Computer Methods in Applied Mechanics and Engineering · 2023 · 27 citations · 54 references

DOIFull text

Open access

Concepts

References

54

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

, , +16

The Elements of Statistical Learning: Data Mining, Inference, and Prediction

Zigang Lu · Journal of the Royal Statistical Society Series A (Statistics in Society) · 2010 · 12.8K citations

, , +12

Proceedings of the 24th international conference on Machine learning

2007 · 11.7K citations

, , +6

Theory of dynamic critical phenomena

P. C. Hohenberg, Bertrand I. Halperin · Reviews of Modern Physics · 1977 · 6.9K citations

, , +14

Phase-Field Models for Microstructure Evolution

Long‐Qing Chen · Annual Review of Materials Research · 2002 · 2.9K citations

, , +17