id author title date pages extension mime words sentence flesch summary cache txt 0v83805292k Yinhao Zhu Data-Driven and Physics-Constrained Deep Learning for Surrogate Modeling and Uncertainty Quantification of Physical Systems 2019 .txt text/plain 218 8 24 Surrogate modeling is computationally attractive for problems that require repetitive yet expensive simulations of PDEs, such as uncertainty propagation, deterministic design or inverse problems, where the main challenges are curse of dimensionality, data efficiency, uncertainty quantification and generalization, especially for problems with high dimensional input. We further explore how to incorporate the governing equations of the physical models into the loss/likelihood functions of the physics-constrained surrogates to completely avoid any simulation (or labeled data) while achieving similar accuracy with the date-driven surrogates. cache/0v83805292k.txt txt/0v83805292k.txt