Incorporating Symmetry into Deep Dynamics Models for Improved Generalization

8 February 2020

Papers citing "Incorporating Symmetry into Deep Dynamics Models for Improved Generalization"

50 / 108 papers shown

Title
Predictions Based on Pixel Data: Insights from PDEs and Finite Differences E. Celledoni James Jackaman Davide Murari B. Owren 4 1 0 01 May 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 21 19 0 30 Mar 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 21 8 0 28 Mar 2023
The Exact Sample Complexity Gain from Invariances for Kernel Regression B. Tahmasebi Stefanie Jegelka 10 16 0 24 Mar 2023
Machine learning with data assimilation and uncertainty quantification for dynamical systems: a review Sibo Cheng César Quilodrán-Casas Said Ouala A. Farchi Che Liu ... Weiping Ding Yike Guo A. Carrassi Marc Bocquet Rossella Arcucci AI4CE 19 118 0 18 Mar 2023
A General Theory of Correct, Incorrect, and Extrinsic Equivariance Dian Wang Xu Zhu Jung Yeon Park Mingxi Jia Guanang Su Robert W. Platt Robin G. Walters 19 13 0 08 Mar 2023
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning S Chandra Mouli M. A. Alam Bruno Ribeiro OOD 10 4 0 06 Mar 2023
Generative Adversarial Symmetry Discovery Jianke Yang Robin G. Walters Nima Dehmamy Rose Yu GAN 17 21 0 01 Feb 2023
Data-aware customization of activation functions reduces neural network error Fuchang Gao Boyu Zhang 13 4 0 16 Jan 2023
Physics-guided Data Augmentation for Learning the Solution Operator of Linear Differential Equations Yemo Li Yiwen Pang Bin Shan AI4CE 13 3 0 08 Dec 2022
Knowledge-augmented Deep Learning and Its Applications: A Survey Zijun Cui Tian Gao Kartik Talamadupula Qiang Ji 10 16 0 30 Nov 2022
The Surprising Effectiveness of Equivariant Models in Domains with Latent Symmetry Dian Wang Jung Yeon Park Neel Sortur Lawson L. S. Wong Robin G. Walters Robert W. Platt AAML 25 33 0 16 Nov 2022
Why self-attention is Natural for Sequence-to-Sequence Problems? A Perspective from Symmetries Chao Ma Lexing Ying 6 2 0 13 Oct 2022
Guaranteed Conservation of Momentum for Learning Particle-based Fluid Dynamics L. Prantl Benjamin Ummenhofer V. Koltun Nils Thuerey AI4CE PINN 11 29 0 12 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 53 117 0 30 Sep 2022
Machine learning and invariant theory Ben Blum-Smith Soledad Villar AI4CE 12 15 0 29 Sep 2022
Phy-Taylor: Physics-Model-Based Deep Neural Networks Y. Mao L. Sha Huajie Shao Yuliang Gu Qixin Wang Tarek F. Abdelzaher PINN AI4CE 19 1 0 27 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 60 79 0 08 Sep 2022
DEVIANT: Depth EquiVarIAnt NeTwork for Monocular 3D Object Detection Abhinav Kumar Garrick Brazil E. Corona Armin Parchami Xiaoming Liu 3DPC MDE 19 60 0 21 Jul 2022
Set Norm and Equivariant Skip Connections: Putting the Deep in Deep Sets Lily H. Zhang Veronica Tozzo J. Higgins Rajesh Ranganath BDL MoE 11 16 0 23 Jun 2022
Data Augmentation vs. Equivariant Networks: A Theory of Generalization on Dynamics Forecasting Rui Wang Robin G. Walters Rose Yu 9 13 0 19 Jun 2022
Deep learning-enhanced ensemble-based data assimilation for high-dimensional nonlinear dynamical systems A. Chattopadhyay Ebrahim Nabizadeh Eviatar Bach P. Hassanzadeh AI4CE 4 20 0 09 Jun 2022
Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions Masanobu Horie Naoto Mitsume PINN AI4CE 19 23 0 24 May 2022
REMuS-GNN: A Rotation-Equivariant Model for Simulating Continuum Dynamics Mario Lino Stati Fotiadis Anil A. Bharath C. Cantwell AI4CE 6 3 0 05 May 2022
Probabilistic Symmetry for Multi-Agent Dynamics S. Sun Robin G. Walters Jinxi Li Rose Yu 6 1 0 04 May 2022
Dimensionless machine learning: Imposing exact units equivariance Soledad Villar Weichi Yao D. Hogg Ben Blum-Smith Bianca Dumitrascu 9 26 0 02 Apr 2022
On-Robot Learning With Equivariant Models Dian Wang Ming Jia Xu Zhu Robin G. Walters Robert W. Platt OffRL SSL 28 35 0 09 Mar 2022
$$\mathrm{SO}(2)$-Equivariant Reinforcement Learning$ $\mathrm{SO}(2)$ -Equivariant Reinforcement Learning Dian Wang Robin G. Walters Robert W. Platt 22 78 0 08 Mar 2022
Rotationally Equivariant Super-Resolution of Velocity Fields in Two-Dimensional Fluids Using Convolutional Neural Networks Y. Yasuda R. Onishi 13 4 0 22 Feb 2022
Sample Efficient Grasp Learning Using Equivariant Models Xu Zhu Dian Wang Ondrej Biza Guanang Su Robin G. Walters Robert W. Platt DRL 81 66 0 18 Feb 2022
Lie Point Symmetry Data Augmentation for Neural PDE Solvers Johannes Brandstetter Max Welling Daniel E. Worrall AI4CE 12 53 0 15 Feb 2022
Physics-Guided Problem Decomposition for Scaling Deep Learning of High-dimensional Eigen-Solvers: The Case of Schrödinger's Equation Sangeeta Srivastava Samuel W. Olin V. Podolskiy Anuj Karpatne Wei‐Cheng Lee Anish Arora 11 0 0 12 Feb 2022
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning Said Ouala Steven L. Brunton A. Pascual Bertrand Chapron F. Collard L. Gaultier Ronan Fablet PINN AI4TS AI4CE 11 10 0 11 Feb 2022
Learning Similarity Metrics for Volumetric Simulations with Multiscale CNNs Georg Kohl Li-Wei Chen Nils Thuerey 15 0 0 08 Feb 2022
Approximately Equivariant Networks for Imperfectly Symmetric Dynamics Rui Wang Robin G. Walters Rose Yu 25 73 0 28 Jan 2022
Frame invariance and scalability of neural operators for partial differential equations M. Zafar Jiequn Han Xueqing Zhou Heng Xiao 14 5 0 28 Dec 2021
Latent Space Simulation for Carbon Capture Design Optimization Brian Bartoldson Rui Wang Yu-Hang Fu David Widemann Sam Nguyen J. Bao Zhijie Xu Brenda Ng 15 3 0 22 Dec 2021
Equivariant Deep Dynamical Model for Motion Prediction Bahar Azari Deniz Erdoğmuş 8 1 0 02 Nov 2021
Kinematically consistent recurrent neural networks for learning inverse problems in wave propagation Wrik Mallik R. Jaiman J. Jelovica AI4CE 17 3 0 08 Oct 2021
A simple equivariant machine learning method for dynamics based on scalars Weichi Yao Kate Storey-Fisher D. Hogg Soledad Villar AI4CE 35 9 0 07 Oct 2021
Enhancing Computational Fluid Dynamics with Machine Learning Ricardo Vinuesa Steven L. Brunton AI4CE 98 351 0 05 Oct 2021
Applying Machine Learning to Study Fluid Mechanics Steven L. Brunton PINN AI4CE 37 94 0 05 Oct 2021
Combining Physics and Deep Learning to learn Continuous-Time Dynamics Models M. Lutter Jan Peters PINN AI4CE 29 38 0 05 Oct 2021
Automatic Symmetry Discovery with Lie Algebra Convolutional Network Nima Dehmamy Robin G. Walters Yanchen Liu Dashun Wang Rose Yu AI4CE 76 80 0 15 Sep 2021
Physics-constrained Deep Learning for Robust Inverse ECG Modeling Jianxin Xie B. Yao 8 21 0 26 Jul 2021
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 18 62 0 02 Jul 2021
Scalars are universal: Equivariant machine learning, structured like classical physics Soledad Villar D. Hogg Kate Storey-Fisher Weichi Yao Ben Blum-Smith PINN AI4CE 19 130 0 11 Jun 2021
Encoding Involutory Invariances in Neural Networks Anwesh Bhattacharya M. Mattheakis P. Protopapas 8 1 0 07 Jun 2021
Neural Pharmacodynamic State Space Modeling Zeshan Hussain Rahul G. Krishnan David Sontag BDL AI4CE 11 10 0 22 Feb 2021
Meta-Learning Dynamics Forecasting Using Task Inference Rui Wang Robin G. Walters Rose Yu OOD AI4TS AI4CE 11 31 0 20 Feb 2021