In-Context Operator Learning with Data Prompts for Differential Equation Problems

17 April 2023

Stanley J. Osher

Papers citing "In-Context Operator Learning with Data Prompts for Differential Equation Problems"

39 / 39 papers shown

Title
Gaussian Process Policy Iteration with Additive Schwarz Acceleration for Forward and Inverse HJB and Mean Field Game Problems Xianjin Yang Jingguo Zhang 19 0 0 01 May 2025
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 51 0 0 28 Apr 2025
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training A. Totounferoush Serge Kotchourko Michael W. Mahoney S. AI4CE 34 0 0 24 Mar 2025
A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Elisa Negrini Yuxuan Liu Liu Yang Stanley Osher Hayden Schaeffer AI4CE 86 0 0 09 Feb 2025
Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation Yizheng Wang Jinshuai Bai M. Eshaghi C. Anitescu X. Zhuang Timon Rabczuk Yinghua Liu AI4CE 44 1 0 02 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
In-Context Operator Learning for Linear Propagator Models Tingwei Meng Moritz Voß Nils Detering Giulio Farolfi Stanley Osher Georg Menz 24 0 0 28 Jan 2025
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning Ruben Ohana Michael McCabe Lucas Meyer Rudy Morel Fruzsina J. Agocs ... François Rozet Liam Parker M. Cranmer S. Ho Shirley Ho PINN AI4CE 66 7 1 30 Nov 2024
MomentumSMoE: Integrating Momentum into Sparse Mixture of Experts R. Teo Tan M. Nguyen MoE 28 3 0 18 Oct 2024
MaD-Scientist: AI-based Scientist solving Convection-Diffusion-Reaction Equations Using Massive PINN-Based Prior Data Mingu Kang Dongseok Lee Woojin Cho Jaehyeon Park Kookjin Lee Anthony Gruber Youngjoon Hong Noseong Park DiffM AI4CE 24 0 0 09 Oct 2024
Zero-shot forecasting of chaotic systems Yuanzhao Zhang William Gilpin AI4TS 37 4 0 24 Sep 2024
Provable In-Context Learning of Linear Systems and Linear Elliptic PDEs with Transformers Frank Cole Yulong Lu Riley OÑeill Tianhao Zhang 32 2 0 18 Sep 2024
RoboMorph: In-Context Meta-Learning for Robot Dynamics Modeling Manuel Bianchi Bazzi Asad Ali Shahid Christopher Agia J. I. Alora Marco Forgione Dario Piga Francesco Braghin Marco Pavone L. Roveda LM&Ro AI4CE 25 0 0 18 Sep 2024
Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model Derek Jollie Jingmin Sun Zecheng Zhang Hayden Schaeffer AI4TS 31 3 0 17 Sep 2024
PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics Yuxuan Liu Jingmin Sun Xinjie He Griffin Pinney Zecheng Zhang Hayden Schaeffer AI4CE 35 5 0 15 Sep 2024
LeMON: Learning to Learn Multi-Operator Networks Jingmin Sun Zecheng Zhang Hayden Schaeffer 28 5 0 28 Aug 2024
Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving Varun V. Kumar S. Goswami Katiana Kontolati Michael D. Shields George Em Karniadakis AI4CE 55 6 0 05 Aug 2024
Magnetic Hysteresis Modeling with Neural Operators Abhishek Chandra B. Daniels M. Curti K. Tiels E. Lomonova AI4CE 40 2 0 03 Jul 2024
Strategies for Pretraining Neural Operators Anthony Y. Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 34 4 0 12 Jun 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
A Misleading Gallery of Fluid Motion by Generative Artificial Intelligence Ali Kashefi VGen 43 5 0 24 May 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 63 1 0 27 Apr 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
Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation Jingmin Sun Yuxuan Liu Zecheng Zhang Hayden Schaeffer AI4CE 25 14 0 18 Apr 2024
MODNO: Multi Operator Learning With Distributed Neural Operators Zecheng Zhang 35 6 0 03 Apr 2024
Masked Autoencoders are PDE Learners Anthony Y. Zhou A. Farimani AI4CE 33 5 0 26 Mar 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 22 20 0 06 Mar 2024
Building Flexible Machine Learning Models for Scientific Computing at Scale Tianyu Chen Haoyi Zhou Ying Li Hao Wang Chonghan Gao Shanghang Zhang Jianxin Li AI4CE 25 0 0 25 Feb 2024
Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning Wuyang Chen Jialin Song Pu Ren Shashank Subramanian Dmitriy Morozov Michael W. Mahoney AI4CE 35 9 0 24 Feb 2024
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations Han Huang Rongjie Lai 22 3 0 27 Jan 2024
PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws Liu Yang Stanley J. Osher AI4CE 40 17 0 14 Jan 2024
Decoding Mean Field Games from Population and Environment Observations By Gaussian Processes Jinyan Guo Chenchen Mou Xianjin Yang Chao Zhou AI4CE 19 3 0 08 Dec 2023
Operator Learning for Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods Chuanqi Chen Jin-Long Wu AI4CE 21 0 0 20 Nov 2023
PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers Yuxuan Liu Zecheng Zhang Hayden Schaeffer 15 18 0 28 Sep 2023
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers Liu Yang Siting Liu Stanley J. Osher 14 0 0 09 Aug 2023
Learn to Explain: Multimodal Reasoning via Thought Chains for Science Question Answering Pan Lu Swaroop Mishra Tony Xia Liang Qiu Kai-Wei Chang Song-Chun Zhu Oyvind Tafjord Peter Clark A. Kalyan ELM ReLM LRM 207 1,089 0 20 Sep 2022
Chain-of-Thought Prompting Elicits Reasoning in Large Language Models Jason W. Wei Xuezhi Wang Dale Schuurmans Maarten Bosma Brian Ichter F. Xia Ed H. Chi Quoc Le Denny Zhou LM&Ro LRM AI4CE ReLM 315 8,261 0 28 Jan 2022
Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domains Hengjie Wang R. Planas Aparna Chandramowlishwaran Ramin Bostanabad AI4CE 42 61 0 22 Apr 2021
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 203 2,254 0 18 Oct 2020