Transformer for Partial Differential Equations' Operator Learning

26 May 2022

Papers citing "Transformer for Partial Differential Equations' Operator Learning"

50 / 109 papers shown

Title
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation Shanda Li Tanya Marwah Junhong Shen W. Sun Andrej Risteski Yiming Yang Ameet Talwalkar AI4CE 26 0 0 13 May 2025
A Physics-preserved Transfer Learning Method for Differential Equations Hao-Ran Yang Chuan-Xian Ren 75 0 0 02 May 2025
Geometry-Informed Neural Operator Transformer Qibang Liu Vincient Zhong Hadi Meidani Diab Abueidda S. Koric Philippe Geubelle AI4CE 44 0 0 28 Apr 2025
SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Zherui Yang Zhengyang Xue Ligang Liu 17 0 0 22 Apr 2025
Integrating Locality-Aware Attention with Transformers for General Geometry PDEs Minsu Koh Beom-Chul Park Heejo Kong Seong-Whan Lee AI4CE 35 0 0 18 Apr 2025
SCENT: Robust Spatiotemporal Learning for Continuous Scientific Data via Scalable Conditioned Neural Fields David K. Park Xihaier Luo Guang Zhao Seungjun Lee M. Oprescu Shinjae Yoo AI4TS 19 0 0 16 Apr 2025
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 20 0 0 14 Apr 2025
Learning Dual-Arm Coordination for Grasping Large Flat Objects Yongliang Wang H. Kasaei 32 0 0 04 Apr 2025
Towards scientific machine learning for granular material simulations -- challenges and opportunities Marc Fransen Andreas Fürst D. Tunuguntla Daniel N. Wilke Benedikt Alkin ... Takayuki Shuku WaiChing Sun T. Weinhart Dongwei Ye Hongyang Cheng AI4CE 26 0 0 01 Apr 2025
Generative Latent Neural PDE Solver using Flow Matching Zijie Li Anthony Y. Zhou Amir Barati Farimani DiffM AI4CE 65 0 0 28 Mar 2025
Mitigating Spectral Bias in Neural Operators via High-Frequency Scaling for Physical Systems Siavash Khodakarami Vivek Oommen Aniruddha Bora George Karniadakis AI4CE 60 0 0 17 Mar 2025
Spatio-temporal Fourier Transformer (StFT) for Long-term Dynamics Prediction Da Long Shandian Zhe Samuel Williams L. Oliker Zhe Bai AI4TS AI4CE 41 0 0 14 Mar 2025
COAST: Intelligent Time-Adaptive Neural Operators Z. Wu Shiyang Zhang Sizhuang He Sifan Wang M. Zhu Anran Jiao Lu Lu David van Dijk 90 1 0 12 Feb 2025
OT-Transformer: A Continuous-time Transformer Architecture with Optimal Transport Regularization Kelvin Kan Xingjian Li Stanley Osher 89 2 0 30 Jan 2025
State-space models are accurate and efficient neural operators for dynamical systems Zheyuan Hu Nazanin Ahmadi Daryakenari Qianli Shen Kenji Kawaguchi George Karniadakis Mamba AI4CE 64 10 0 28 Jan 2025
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 83 2 0 18 Nov 2024
PACE: Pacing Operator Learning to Accurate Optical Field Simulation for Complicated Photonic Devices Hanqing Zhu Wenyan Cong Guojin Chen Shupeng Ning Ray T. Chen Jiaqi Gu D. Pan 21 1 0 05 Nov 2024
Long-time Integration of Nonlinear Wave Equations with Neural Operators Guanhang Lei Zhen Lei Lei Shi 18 0 0 21 Oct 2024
Arbitrarily-Conditioned Multi-Functional Diffusion for Multi-Physics Emulation Da Long Zhitong Xu Guang Yang A. Narayan Shandian Zhe DiffM AI4CE 18 1 0 17 Oct 2024
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs Chun-Wun Cheng Jiahao Huang Yi Zhang Guang Yang Carola-Bibiane Schonlieb Angelica I Aviles-Rivero Mamba AI4CE 85 2 0 03 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Y. Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 21 3 0 02 Oct 2024
Spatiotemporal Learning on Cell-embedded Graphs Yuan Mi Hao Sun 32 1 0 26 Sep 2024
Micrometer: Micromechanics Transformer for Predicting Mechanical Responses of Heterogeneous Materials Sifan Wang Tong-Rui Liu Shyam Sankaran P. Perdikaris AI4CE 35 3 0 23 Sep 2024
DiffFluid: Plain Diffusion Models are Effective Predictors of Flow Dynamics Dongyu Luo Jianyu Wu Jing Wang Hairun Xie Xiangyu Yue Shixiang Tang DiffM AI4CE 28 0 0 20 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition Milad Ramezankhani Rishi Parekh A. Deodhar Dagnachew Birru AI4CE 29 0 0 13 Sep 2024
Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling Vivek Oommen Aniruddha Bora Zhen Zhang George Karniadakis DiffM 45 13 0 13 Sep 2024
Liquid Fourier Latent Dynamics Networks for fast GPU-based numerical simulations in computational cardiology Matteo Salvador Alison L. Marsden AI4CE 27 1 0 19 Aug 2024
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery Yue Yu Ning Liu Fei Lu Tian Gao S. Jafarzadeh Stewart Silling AI4CE 41 7 0 14 Aug 2024
UniFIDES: Universal Fractional Integro-Differential Equation Solvers Milad Saadat Deepak Mangal Safa Jamali AI4CE 25 1 0 01 Jul 2024
Towards Universal Mesh Movement Networks Mingrui Zhang Chunyang Wang Stephan Kramer Joseph G. Wallwork Siyi Li Jiancheng Liu Xiang Chen M. Piggott AI4CE 25 0 0 29 Jun 2024
A Fast Learning-Based Surrogate of Electrical Machines using a Reduced Basis Alejandro Ribés Nawfal Benchekroun Théo Delagnes AI4CE 30 1 0 27 Jun 2024
DiffusionPDE: Generative PDE-Solving Under Partial Observation Jiahe Huang Guandao Yang Zichen Wang Jeong Joon Park DiffM 54 14 0 25 Jun 2024
Continuum Attention for Neural Operators Edoardo Calvello Nikola B. Kovachki Matthew E. Levine Andrew M. Stuart 34 9 0 10 Jun 2024
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations Jan Hagnberger Marimuthu Kalimuthu Daniel Musekamp Mathias Niepert AI4TS AI4CE 31 5 0 06 Jun 2024
AROMA: Preserving Spatial Structure for Latent PDE Modeling with Local Neural Fields Louis Serrano Thomas X. Wang E. L. Naour Jean-Noël Vittaut Patrick Gallinari 19 5 0 04 Jun 2024
From Structured to Unstructured:A Comparative Analysis of Computer Vision and Graph Models in solving Mesh-based PDEs J. Decke Olaf Wünsch Bernhard Sick Christian Gruhl 27 0 0 31 May 2024
Stochastic Optimal Control for Diffusion Bridges in Function Spaces Byoungwoo Park Jungwon Choi Sungbin Lim Juho Lee 45 3 0 31 May 2024
Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity Benjamin Shih Ahmad Peyvan Zhongqiang Zhang George Karniadakis AI4CE 30 10 0 29 May 2024
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers Zhou Hang Yuezhou Ma Haixu Wu Haowen Wang Mingsheng Long AI4CE 34 8 0 27 May 2024
Accelerating Simulation of Two-Phase Flows with Neural PDE Surrogates Y. Poels Koen Minartz Harshit Bansal Vlado Menkovski AI4CE 35 1 0 27 May 2024
Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations Ze Cheng Zhongkai Hao Xiaoqiang Wang Jianing Huang Youjia Wu Xudan Liu Yiru Zhao Songming Liu Hang Su AI4CE 29 2 0 27 May 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 31 0 0 27 May 2024
FUSE: Fast Unified Simulation and Estimation for PDEs Levi E. Lingsch Dana Grund Siddhartha Mishra Georgios Kissas AI4CE 26 0 0 23 May 2024
Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning Junfeng Chen Kailiang Wu 19 3 0 15 May 2024
CaFA: Global Weather Forecasting with Factorized Attention on Sphere Zijie Li Anthony Y. Zhou Saurabh Patil A. Farimani 19 6 0 12 May 2024
Diffusion models as probabilistic neural operators for recovering unobserved states of dynamical systems Katsiaryna Haitsiukevich O. Poyraz Pekka Marttinen Alexander Ilin DiffM 51 2 0 11 May 2024
FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model Zezheng Song Jiaxin Yuan Haizhao Yang AI4CE 38 16 0 23 Apr 2024
Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning Tyler Chang Andrew Gillette R. Maulik 31 2 0 04 Apr 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 28 5 0 27 Mar 2024