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

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

6 January 2022

Stewart Silling

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

13 / 13 papers shown

Title
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries Zhihao Li H. Song Di Xiao Zhilu Lai Wei Wang AI4CE 88 2 0 18 Nov 2024
Generalizable Motion Planning via Operator Learning Sharath Matada Luke Bhan Yuanyuan Shi Nikolay Atanasov 31 0 0 23 Oct 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
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 20 10 0 08 Oct 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 24 10 0 24 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
$Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures$ 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 20 6 0 11 Jan 2023
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
Multi-fidelity wavelet neural operator with application to uncertainty quantification A. Thakur Tapas Tripura S. Chakraborty 30 12 0 11 Aug 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 217 2,287 0 18 Oct 2020