Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

28 November 2017

Papers citing "Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations"

50 / 380 papers shown

Title
Model discovery in the sparse sampling regime G. Both Georges Tod R. Kusters 59 3 0 02 May 2021
Dominant motion identification of multi-particle system using deep learning from video Yayati Jadhav Amir Barati Farimani 116 5 0 26 Apr 2021
Bridging observation, theory and numerical simulation of the ocean using Machine Learning Maike Sonnewald Redouane Lguensat Daniel C. Jones P. Dueben J. Brajard Venkatramani Balaji AI4Cl AI4CE 94 101 0 26 Apr 2021
Efficient training of physics-informed neural networks via importance sampling M. A. Nabian R. J. Gladstone Hadi Meidani DiffM PINN 130 237 0 26 Apr 2021
Deep Learning for Bayesian Optimization of Scientific Problems with High-Dimensional Structure Samuel Kim Peter Y. Lu Charlotte Loh Jamie Smith Jasper Snoek M. Soljavcić BDL AI4CE 377 17 0 23 Apr 2021
Estimating Traffic Speeds using Probe Data: A Deep Neural Network Approach Felix Rempe P. Franeck Klaus Bogenberger 3DV 59 2 0 19 Apr 2021
Efficient time stepping for numerical integration using reinforcement learning M. Dellnitz Eyke Hüllermeier M. Lucke Sina Ober-Blobaum Christian Offen Sebastian Peitz Karlson Pfannschmidt 16 6 0 08 Apr 2021
Physics-Informed Neural Nets for Control of Dynamical Systems Eric A. Antonelo E. Camponogara L. O. Seman Eduardo Rehbein de Souza J. Jordanou Jomi F. Hubner PINN AI4CE 76 68 0 06 Apr 2021
Physics Informed Convex Artificial Neural Networks (PICANNs) for Optimal Transport based Density Estimation Amanpreet Singh Martin Bauer S. Joshi OT 32 1 0 02 Apr 2021
Deep Learning of Conjugate Mappings J. Bramburger S. Patterson J. Nathan Kutz 75 15 0 01 Apr 2021
Latent Space Data Assimilation by using Deep Learning Mathis Peyron Anthony Fillion S. Gürol Victor Marchais Serge Gratton Pierre Boudier G. Goret AI4CE 82 47 0 01 Apr 2021
Prediction of Ultrasonic Guided Wave Propagation in Solid-fluid and their Interface under Uncertainty using Machine Learning Subhayan De B. Hai Alireza Doostan M. Bause 30 2 0 30 Mar 2021
Elvet -- a neural network-based differential equation and variational problem solver Jack Y. Araz J. C. Criado M. Spannowsky 65 13 0 26 Mar 2021
Adaptive deep density approximation for Fokker-Planck equations Keju Tang Xiaoliang Wan Qifeng Liao 93 40 0 20 Mar 2021
dNNsolve: an efficient NN-based PDE solver V. Guidetti F. Muia Y. Welling A. Westphal 50 6 0 15 Mar 2021
The Old and the New: Can Physics-Informed Deep-Learning Replace Traditional Linear Solvers? Stefano Markidis PINN 75 190 0 12 Mar 2021
Parametric Complexity Bounds for Approximating PDEs with Neural Networks Tanya Marwah Zachary Chase Lipton Andrej Risteski 84 19 0 03 Mar 2021
Meta-Learning Dynamics Forecasting Using Task Inference Rui Wang Robin Walters Rose Yu OOD AI4TS AI4CE 138 35 0 20 Feb 2021
Applications of deep learning in traffic congestion detection, prediction and alleviation: A survey Nishant Kumar Martin Raubal AI4TS AI4CE 128 92 0 19 Feb 2021
A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate Hongwei Guo X. Zhuang Timon Rabczuk AI4CE 60 439 0 04 Feb 2021
POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition S. Fresca Andrea Manzoni AI4CE 69 220 0 28 Jan 2021
Quadratic Residual Networks: A New Class of Neural Networks for Solving Forward and Inverse Problems in Physics Involving PDEs Jie Bu Anuj Karpatne 80 52 0 20 Jan 2021
Deep neural network surrogates for non-smooth quantities of interest in shape uncertainty quantification L. Scarabosio 82 9 0 18 Jan 2021
STENCIL-NET: Data-driven solution-adaptive discretization of partial differential equations Suryanarayana Maddu D. Sturm B. Cheeseman Christian L. Müller I. Sbalzarini 45 8 0 15 Jan 2021
Constrained Block Nonlinear Neural Dynamical Models Elliott Skomski Soumya Vasisht Colby Wight Aaron Tuor Ján Drgoňa D. Vrabie AI4CE 107 16 0 06 Jan 2021
Neural Network Approximations for Calabi-Yau Metrics Vishnu Jejjala D. M. Peña Challenger Mishra 63 55 0 31 Dec 2020
Uncertainty Bounds for Multivariate Machine Learning Predictions on High-Strain Brittle Fracture Cristina Garcia-Cardona M. G. Fernández-Godino Daniel O’Malley T. Bhattacharya AI4CE 26 3 0 23 Dec 2020
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 117 153 0 22 Dec 2020
Algorithmically-Consistent Deep Learning Frameworks for Structural Topology Optimization Jaydeep Rade Aditya Balu Ethan Herron Jay Pathak Rishikesh Ranade Soumik Sarkar A. Krishnamurthy 49 44 0 09 Dec 2020
Estimating Vector Fields from Noisy Time Series Harish S. Bhat Majerle Reeves Ramin Raziperchikolaei AI4TS 37 1 0 06 Dec 2020
Algebraically-Informed Deep Networks (AIDN): A Deep Learning Approach to Represent Algebraic Structures Mustafa Hajij Ghada Zamzmi Matthew Dawson G. Muller 61 3 0 02 Dec 2020
Deep Multi-Fidelity Active Learning of High-dimensional Outputs Shibo Li Robert M. Kirby Shandian Zhe AI4CE 57 28 0 02 Dec 2020
Thermodynamic Consistent Neural Networks for Learning Material Interfacial Mechanics Jiaxin Zhang Congjie Wei Chenglin Wu AI4CE PINN 24 7 0 28 Nov 2020
On the application of Physically-Guided Neural Networks with Internal Variables to Continuum Problems J. Ayensa-Jiménez M. H. Doweidar J. A. Sanz-Herrera Manuel Doblaré 26 1 0 23 Nov 2020
Sparsely constrained neural networks for model discovery of PDEs G. Both Gijs Vermarien R. Kusters 18 5 0 09 Nov 2020
A Helmholtz equation solver using unsupervised learning: Application to transcranial ultrasound A. Stanziola Simon Arridge B. Cox B. Treeby 58 35 0 29 Oct 2020
Data Assimilation Networks Pierre Boudier Anthony Fillion Serge Gratton S. Gürol Sixin Zhang AI4CE 67 12 0 19 Oct 2020
Probabilistic simulation of partial differential equations Philipp Frank T. Ensslin 35 2 0 13 Oct 2020
Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties Anke Stoll P. Benner AI4CE 57 66 0 12 Oct 2020
Multi-Constitutive Neural Network for Large Deformation Poromechanics Problem Qi Zhang Yilin Chen Ziyi Yang Eric F. Darve AILaw AI4CE 34 6 0 11 Oct 2020
Recurrent convolutional neural network for the surrogate modeling of subsurface flow simulation Hyung Jun Yang Timothy Yeo J. An AI4CE 47 1 0 08 Oct 2020
Analysis of three dimensional potential problems in non-homogeneous media with physics-informed deep collocation method using material transfer learning and sensitivity analysis Hongwei Guo X. Zhuang Pengwan Chen N. Alajlan Timon Rabczuk 65 62 0 03 Oct 2020
Analyzing Koopman approaches to physics-informed machine learning for long-term sea-surface temperature forecasting Julian Rice Wenwei Xu Andrew August 40 10 0 15 Sep 2020
Large-scale Neural Solvers for Partial Differential Equations Patrick Stiller Friedrich Bethke M. Böhme R. Pausch Sunna Torge A. Debus J. Vorberger Michael Bussmann Nico Hoffmann AI4CE 73 26 0 08 Sep 2020
Bridging the Gap: Machine Learning to Resolve Improperly Modeled Dynamics Maan Qraitem D. Kularatne Eric Forgoston M. A. Hsieh AI4CE 86 10 0 23 Aug 2020
Informative Neural Ensemble Kalman Learning Margaret Trautner G. Margolis S. Ravela BDL 55 10 0 22 Aug 2020
Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers Yuying Liu N. Kutz Steven L. Brunton AI4TS 59 78 0 22 Aug 2020
Uncertainty Quantification of Locally Nonlinear Dynamical Systems using Neural Networks Subhayan De 50 9 0 11 Aug 2020
Physics-informed Tensor-train ConvLSTM for Volumetric Velocity Forecasting of Loop Current Yu Huang Yufei Tang H. Zhuang James H. VanZwieten Laurent Chérubin AI4TS 45 12 0 04 Aug 2020
Machine learning for metal additive manufacturing: Predicting temperature and melt pool fluid dynamics using physics-informed neural networks Qiming Zhu Zeliang Liu Jinhui Yan PINN AI4CE 73 305 0 28 Jul 2020