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LNO: Laplace Neural Operator for Solving Differential Equations

19 March 2023

Papers citing "LNO: Laplace Neural Operator for Solving Differential Equations"

34 / 34 papers shown

Title
Extrapolating Phase-Field Simulations in Space and Time with Purely Convolutional Architectures Christophe Bonneville N. Bieberdorf Pieterjan Robbe Mark Asta H. Najm Laurent Capolungo Cosmin Safta AI4CE 0 0 0 25 Sep 2025
From Local Interactions to Global Operators: Scalable Gaussian Process Operator for Physical Systems Sawan Kumar Tapas Tripura R. Nayek S. Chakraborty 71 0 0 18 Jun 2025
Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning Julius Berner Miguel Liu-Schiaffini Jean Kossaifi Valentin Duruisseaux Boris Bonev Kamyar Azizzadenesheli A. Anandkumar AI4CE 215 0 0 12 Jun 2025
Recurrent Neural Operators: Stable Long-Term PDE Prediction Zaijun Ye Chen-Song Zhang Wansheng Wang AI4CE 130 0 0 27 May 2025
On the definition and importance of interpretability in scientific machine learning Conor Rowan Alireza Doostan AI4CE 164 1 0 16 May 2025
MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation Jing Xiao Xinhai Chen Qingling Wang Jie Liu AI4CE 89 0 0 21 Jan 2025
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical Systems Haoyang Zheng Guang Lin 94 1 0 04 Nov 2024
Harnessing physics-informed operators for high-dimensional reliability analysis problems N Navaneeth Tushar Souvik Chakraborty AI4CE 101 0 0 07 Sep 2024
Accelerating Phase Field Simulations Through a Hybrid Adaptive Fourier Neural Operator with U-Net Backbone Christophe Bonneville N. Bieberdorf Arun Hegde Mark Asta H. Najm Laurent Capolungo Cosmin Safta AI4CE 151 4 0 24 Jun 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving Xihang Yue Linchao Zhu Yi Yang AI4CE 114 3 0 14 Jun 2024
Time-SSM: Simplifying and Unifying State Space Models for Time Series Forecasting Jiaxi Hu Disen Lan Ziyu Zhou Qingsong Wen Yuxuan Liang AI4TS 146 8 0 25 May 2024
A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations Shahed Rezaei Reza Najian Asl S. Faroughi Mahdi Asgharzadeh Ali Harandi Rasoul Najafi Koopas G. Laschet Stefanie Reese Markus Apel AI4CE 134 12 0 28 Mar 2024
Uncertainty quantification for deeponets with ensemble kalman inversion Andrew Pensoneault Xueyu Zhu 116 2 0 06 Mar 2024
A novel data generation scheme for surrogate modelling with deep operator networks Shivam Choubey Birupaksha Pal Manish Agrawal AI4CE 68 0 0 24 Feb 2024
DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains Minglang Yin Nicolas Charon Ryan Brody Lu Lu Natalia A. Trayanova Mauro Maggioni AI4CE 124 13 0 11 Feb 2024
Ricci flow-guided autoencoders in learning time-dependent dynamics Andrew Gracyk AI4CE 373 2 0 26 Jan 2024
A novel framework for generalization of deep hidden physics models Vijay Kag Birupaksha Pal AI4CE 85 0 0 09 Jan 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 233 10 0 04 Jan 2024
Rethinking materials simulations: Blending direct numerical simulations with neural operators Vivek Oommen K. Shukla Saaketh Desai Rémi Dingreville George Karniadakis AI4CE 134 26 0 08 Dec 2023
DON-LSTM: Multi-Resolution Learning with DeepONets and Long Short-Term Memory Neural Networks Katarzyna Michalowska S. Goswami George Karniadakis S. Riemer-Sørensen AI4TS 114 1 0 03 Oct 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 142 1 0 27 Sep 2023
CFDBench: A Large-Scale Benchmark for Machine Learning Methods in Fluid Dynamics Yining Luo Yingfa Chen Zhen Zhang AI4CE 116 13 0 13 Sep 2023
Artificial to Spiking Neural Networks Conversion for Scientific Machine Learning Qian Zhang Chen-Chun Wu Adar Kahana Youngeun Kim Yuhang Li George Karniadakis Priyadarshini Panda 81 10 0 31 Aug 2023
How important are specialized transforms in Neural Operators? Ritam Majumdar Shirish S. Karande Lovekesh Vig AI4CE 38 3 0 18 Aug 2023
Neural oscillators for generalization of physics-informed machine learning Taniya Kapoor Abhishek Chandra D. Tartakovsky Hongrui Wang Alfredo Núñez R. Dollevoet AI4CE 112 13 0 17 Aug 2023
Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators N. Borrel-Jensen S. Goswami A. Engsig-Karup George Karniadakis C. Jeong AI4CE 123 22 0 09 Aug 2023
Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO) O. Ovadia Vivek Oommen Adar Kahana Ahmad Peyvan Eli Turkel George Karniadakis AI4CE 118 18 0 18 Jul 2023
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems Yongcun Song Xiaoming Yuan Hangrui Yue AI4CE 108 2 0 01 Jul 2023
Machine learning for advancing low-temperature plasma modeling and simulation J. Trieschmann Luca Vialetto T. Gergs AI4CE 150 6 0 30 Jun 2023
Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets Keke Wu Xiongbin Yan Shi Jin Zheng Ma 117 7 0 28 Jun 2023
MyCrunchGPT: A chatGPT assisted framework for scientific machine learning Varun V. Kumar Leonard Gleyzer Adar Kahana K. Shukla George Karniadakis AI4CE 134 16 0 27 Jun 2023
Nonlocality and Nonlinearity Implies Universality in Operator Learning S. Lanthaler Zong-Yi Li Andrew M. Stuart 140 20 0 26 Apr 2023
Learning in latent spaces improves the predictive accuracy of deep neural operators Katiana Kontolati S. Goswami George Karniadakis Michael D. Shields AI4CE 110 22 0 15 Apr 2023
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation Jose Antonio Lara Benitez Takashi Furuya F. Faucher Anastasis Kratsios X. Tricoche Maarten V. de Hoop 203 27 0 27 Jan 2023