Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network

6 January 2022

Papers citing "Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network"

42 / 42 papers shown

Title
Data-Driven Probabilistic Air-Sea Flux Parameterization Jiarong Wu Pavel Perezhogin D. Gagne Brandon Reichl Aneesh C. Subramanian Elizabeth Thompson Laure Zanna 44 0 0 06 Mar 2025
Connecting the geometry and dynamics of many-body complex systems with message passing neural operators N. Gabriel N. Johnson George Em Karniadakis AI4CE 54 0 0 21 Feb 2025
Muti-Fidelity Prediction and Uncertainty Quantification with Laplace Neural Operators for Parametric Partial Differential Equations Haoyang Zheng Guang Lin AI4CE 53 0 0 01 Feb 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 99 0 0 12 Dec 2024
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries Zhihao Li Haoze Song Di Xiao Zhilu Lai Wei Wang AI4CE 91 3 0 18 Nov 2024
Generalizable Motion Planning via Operator Learning Sharath Matada Luke Bhan Yuanyuan Shi Nikolay Atanasov 36 0 0 23 Oct 2024
An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models Yuwei Geng Olena Burkovska L. Ju Guannan Zhang M. Gunzburger 23 2 0 11 Oct 2024
Disentangled Representation Learning for Parametric Partial Differential Equations Ning Liu Lu Zhang Tian Gao Yue Yu DRL AI4CE 49 0 0 03 Oct 2024
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery Yue Yu Ning Liu Fei Lu Tian Gao S. Jafarzadeh Stewart Silling AI4CE 51 7 0 14 Aug 2024
Deep Neural Operator Enabled Digital Twin Modeling for Additive Manufacturing Ning Liu Xuxiao Li M. Rajanna E. Reutzel Brady A Sawyer Prahalada Rao Jim Lua Nam Phan Yue Yu AI4CE 48 8 0 13 May 2024
Heterogeneous Peridynamic Neural Operators: Discover Biotissue Constitutive Law and Microstructure From Digital Image Correlation Measurements S. Jafarzadeh Stewart Silling Lu Zhang Colton J. Ross Chung-Hao Lee S. M. R. Rahman Shuodao Wang Yue Yu 36 5 0 27 Mar 2024
A novel Fourier neural operator framework for classification of multi-sized images: Application to three dimensional digital porous media Ali Kashefi T. Mukerji AI4CE 46 4 0 18 Feb 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 32 16 0 11 Jan 2024
Integration of physics-informed operator learning and finite element method for parametric learning of partial differential equations Shahed Rezaei Ahmad Moeineddin Michael Kaliske Markus Apel AI4CE 49 5 0 04 Jan 2024
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws Ning Liu Yiming Fan Xianyi Zeng Milan Klöwer Lu Zhang Yue Yu AI4CE 24 8 0 18 Dec 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 23 10 0 08 Oct 2023
Domain Agnostic Fourier Neural Operators Ning Liu S. Jafarzadeh Yue Yu AI4CE 31 23 0 30 Apr 2023
Learning in latent spaces improves the predictive accuracy of deep neural operators Katiana Kontolati S. Goswami George Karniadakis Michael D. Shields AI4CE 40 20 0 15 Apr 2023
GNN-based physics solver for time-independent PDEs R. J. Gladstone H. Rahmani V. Suryakumar Hadi Meidani M. DÉlia A. Zareei AI4CE 20 15 0 28 Mar 2023
Spatial Bias for Attention-free Non-local Neural Networks Junhyung Go Jongbin Ryu SSL 27 10 0 24 Feb 2023
Deep-OSG: Deep Learning of Operators in Semigroup Junfeng Chen Kailiang Wu AI4TS 17 6 0 07 Feb 2023
Learning PDE Solution Operator for Continuous Modeling of Time-Series Yesom Park Jaemoo Choi Changyeon Yoon Changhoon Song Myung-joo Kang AI4TS AI4CE 27 3 0 02 Feb 2023
MetaNO: How to Transfer Your Knowledge on Learning Hidden Physics Lu Zhang Huaiqian You T. Gao Mo Yu Chung-Hao Lee Yue Yu AI4CE 36 9 0 28 Jan 2023
$Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures$ Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures Huaiqian You Xiao Xu Yue Yu Stewart Silling M. DÉlia J. Foster AI4CE 36 6 0 11 Jan 2023
INO: Invariant Neural Operators for Learning Complex Physical Systems with Momentum Conservation Ning Liu Yue Yu Huaiqian You Neeraj Tatikola AI4CE 21 23 0 29 Dec 2022
Reliable extrapolation of deep neural operators informed by physics or sparse observations Min Zhu Handi Zhang Anran Jiao George Karniadakis Lu Lu 50 91 0 13 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 23 34 0 06 Dec 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 27 49 0 14 Nov 2022
Adaptive physics-informed neural operator for coarse-grained non-equilibrium flows Ivan Zanardi Simone Venturi M. Panesi AI4CE 57 17 0 27 Oct 2022
Multi-fidelity wavelet neural operator with application to uncertainty quantification A. Thakur Tapas Tripura S. Chakraborty 35 12 0 11 Aug 2022
PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers Namgyu Kang Byeonghyeon Lee Youngjoon Hong S. Yun Eunbyung Park PINN AI4CE 22 13 0 26 Jul 2022
Physics-Informed Deep Neural Operator Networks S. Goswami Aniruddha Bora Yue Yu George Karniadakis PINN AI4CE 31 99 0 08 Jul 2022
Nonparametric learning of kernels in nonlocal operators Fei Lu Qi An Yue Yu 37 18 0 23 May 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 23 37 0 27 Apr 2022
Error-in-variables modelling for operator learning Ravi G. Patel Indu Manickam Myoungkyu Lee Mamikon A. Gulian 19 3 0 22 Apr 2022
Multifidelity Deep Operator Networks For Data-Driven and Physics-Informed Problems Amanda A. Howard M. Perego G. Karniadakis P. Stinis AI4CE 44 53 0 19 Apr 2022
Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport Lu Lu R. Pestourie Steven G. Johnson Giuseppe Romano AI4CE 24 102 0 14 Apr 2022
A Physics-Guided Neural Operator Learning Approach to Model Biological Tissues from Digital Image Correlation Measurements Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee M. Hsu Yue Yu AI4CE 25 20 0 01 Apr 2022
Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee Yue Yu AI4CE 29 95 0 15 Mar 2022
IAE-Net: Integral Autoencoders for Discretization-Invariant Learning Yong Zheng Ong Zuowei Shen Haizhao Yang 21 15 0 10 Mar 2022
MIONet: Learning multiple-input operators via tensor product Pengzhan Jin Shuai Meng Lu Lu 20 158 0 12 Feb 2022
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 256 2,298 0 18 Oct 2020