Transformer for Partial Differential Equations' Operator Learning

26 May 2022

Papers citing "Transformer for Partial Differential Equations' Operator Learning"

29 / 79 papers shown

Title
Learning Compositional Koopman Operators for Model-Based Control Yunzhu Li Hao He Jiajun Wu Dina Katabi Antonio Torralba 79 117 0 18 Oct 2019
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 158 2,082 0 08 Oct 2019
DeepXDE: A deep learning library for solving differential equations Lu Lu Xuhui Meng Zhiping Mao George Karniadakis PINN AI4CE 75 1,513 0 10 Jul 2019
Physics-Informed Probabilistic Learning of Linear Embeddings of Non-linear Dynamics With Guaranteed Stability Shaowu Pan Karthik Duraisamy 47 137 0 09 Jun 2019
Learning Neural PDE Solvers with Convergence Guarantees Jun-Ting Hsieh Shengjia Zhao Stephan Eismann L. Mirabella Stefano Ermon AI4CE 33 141 0 04 Jun 2019
Machine Learning for Fluid Mechanics Steven Brunton B. R. Noack Petros Koumoutsakos AI4CE PINN 72 2,105 0 27 May 2019
BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding Jacob Devlin Ming-Wei Chang Kenton Lee Kristina Toutanova VLM SSL SSeg 943 93,936 0 11 Oct 2018
Deep Dynamical Modeling and Control of Unsteady Fluid Flows Jeremy Morton F. Witherden A. Jameson Mykel J. Kochenderfer AI4CE 55 162 0 18 May 2018
Latent-space Physics: Towards Learning the Temporal Evolution of Fluid Flow S. Wiewel M. Becher N. Thürey AI4CE 68 274 0 27 Feb 2018
Bayesian Deep Convolutional Encoder-Decoder Networks for Surrogate Modeling and Uncertainty Quantification Yinhao Zhu N. Zabaras UQCV BDL 56 640 0 21 Jan 2018
Deep learning for universal linear embeddings of nonlinear dynamics Bethany Lusch J. Nathan Kutz Steven L. Brunton 57 1,237 0 27 Dec 2017
Graph Attention Networks Petar Velickovic Guillem Cucurull Arantxa Casanova Adriana Romero Pietro Lio Yoshua Bengio GNN 306 19,991 0 30 Oct 2017
Learning Koopman Invariant Subspaces for Dynamic Mode Decomposition Naoya Takeishi Yoshinobu Kawahara Takehisa Yairi 32 367 0 12 Oct 2017
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 97 1,373 0 30 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 61 2,048 0 24 Aug 2017
Super-Convergence: Very Fast Training of Neural Networks Using Large Learning Rates L. Smith Nicholay Topin AI4CE 66 520 0 23 Aug 2017
Attention Is All You Need Ashish Vaswani Noam M. Shazeer Niki Parmar Jakob Uszkoreit Llion Jones Aidan Gomez Lukasz Kaiser Illia Polosukhin 3DV 435 129,831 0 12 Jun 2017
Neural Message Passing for Quantum Chemistry Justin Gilmer S. Schoenholz Patrick F. Riley Oriol Vinyals George E. Dahl 270 7,388 0 04 Apr 2017
Language Modeling with Gated Convolutional Networks Yann N. Dauphin Angela Fan Michael Auli David Grangier 195 2,377 0 23 Dec 2016
Instance Normalization: The Missing Ingredient for Fast Stylization Dmitry Ulyanov Andrea Vedaldi Victor Lempitsky OOD 120 3,689 0 27 Jul 2016
Layer Normalization Jimmy Lei Ba J. Kiros Geoffrey E. Hinton 241 10,412 0 21 Jul 2016
Gaussian Error Linear Units (GELUs) Dan Hendrycks Kevin Gimpel 159 4,958 0 27 Jun 2016
Deep Residual Learning for Image Recognition Kaiming He Xinming Zhang Shaoqing Ren Jian Sun MedIm 1.4K 192,638 0 10 Dec 2015
Effective Approaches to Attention-based Neural Machine Translation Thang Luong Hieu H. Pham Christopher D. Manning 309 7,951 0 17 Aug 2015
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 806 149,474 0 22 Dec 2014
Neural Turing Machines Alex Graves Greg Wayne Ivo Danihelka 64 2,318 0 20 Oct 2014
Sequence to Sequence Learning with Neural Networks Ilya Sutskever Oriol Vinyals Quoc V. Le AIMat 275 20,491 0 10 Sep 2014
Neural Machine Translation by Jointly Learning to Align and Translate Dzmitry Bahdanau Kyunghyun Cho Yoshua Bengio AIMat 383 27,205 0 01 Sep 2014
Exact solutions to the nonlinear dynamics of learning in deep linear neural networks Andrew M. Saxe James L. McClelland Surya Ganguli ODL 111 1,830 0 20 Dec 2013