Projection-based model reduction: Formulations for physics-based machine learning
作者： Renee Swischuk , Laura Mainini , Benjamin Peherstorfer , Karen Willcox
DOI: 10.1016/J.COMPFLUID.2018.07.021
关键词:
摘要: … effectiveness of four different machine learning techniques—neural … prediction of the pressure field around an airfoil, while the … Then to reconstruct solutions for our original problem, we …
sci-hub.se 参考文章(77)
B. Kramer, S. Gugercin, Tangential interpolation-based eigensystem realization algorithm for MIMO systems Mathematical and Computer Modelling of Dynamical Systems. ,vol. 22, pp. 282- 306 ,(2016) , 10.1080/13873954.2016.1198389
Peter V. Coveney, Edward R. Dougherty, Roger R. Highfield, Big data need big theory too Philosophical Transactions of the Royal Society A. ,vol. 374, pp. 20160153- ,(2016) , 10.1098/RSTA.2016.0153
Serkan Gugercin, Christopher A. Beattie, Benjamin Unger, Philipp Schulze, Data-driven structured realization Linear Algebra and its Applications. ,vol. 537, pp. 250- 286 ,(2018) , 10.1016/J.LAA.2017.09.030
Karthik Duraisamy, Anand Pratap Singh, Shaowu Pan, Augmentation of turbulence models using field inversion and machine learning 55th AIAA Aerospace Sciences Meeting. ,(2017) , 10.2514/6.2017-0993
D. D. Kosambi, Statistics in Function Space Springer, New Delhi. pp. 115- 123 ,(2016) , 10.1007/978-81-322-3676-4_15
Wang Chen, Jan S. Hesthaven, Bai Junqiang, Yasong Qiu, Zhang Yang, Yang Tihao, Greedy Nonintrusive Reduced Order Model for Fluid Dynamics AIAA Journal. ,vol. 56, pp. 4927- 4943 ,(2018) , 10.2514/1.J056161
Benjamin Peherstorfer, Serkan Gugercin, Karen Willcox, Data-Driven Reduced Model Construction with Time-Domain Loewner Models SIAM Journal on Scientific Computing. ,vol. 39, ,(2017) , 10.1137/16M1094750
Nikolai Matni, Benjamin Recht, Stephen Tu, Horia Mania, Sarah Dean, On the Sample Complexity of the Linear Quadratic Regulator arXiv: Optimization and Control. ,(2017)
J.S. Hesthaven, S. Ubbiali, Non-intrusive reduced order modeling of nonlinear problems using neural networks Journal of Computational Physics. ,vol. 363, pp. 55- 78 ,(2018) , 10.1016/J.JCP.2018.02.037
Ralf Zimmermann, Benjamin Peherstorfer, Karen Willcox, Geometric Subspace Updates with Applications to Online Adaptive Nonlinear Model Reduction SIAM Journal on Matrix Analysis and Applications. ,vol. 39, pp. 234- 261 ,(2018) , 10.1137/17M1123286