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Towards Foundation Models for Scientific Machine Learning:
  Characterizing Scaling and Transfer Behavior

Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior

1 June 2023
Shashank Subramanian
P. Harrington
Kurt Keutzer
W. Bhimji
Dmitriy Morozov
Michael W. Mahoney
A. Gholami
    AI4CE
ArXivPDFHTML

Papers citing "Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior"

50 / 53 papers shown
Title
Physics-informed Temporal Alignment for Auto-regressive PDE Foundation Models
Physics-informed Temporal Alignment for Auto-regressive PDE Foundation Models
Congcong Zhu
Xiaoyan Xu
Jiayue Han
Jingrun Chen
OOD
AI4CE
31
0
0
16 May 2025
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning
Yuanzhao Zhang
William Gilpin
AI4TS
12
0
0
16 May 2025
TiMo: Spatiotemporal Foundation Model for Satellite Image Time Series
TiMo: Spatiotemporal Foundation Model for Satellite Image Time Series
Xiaolei Qin
Di Wang
Jingyang Zhang
Fengxiang Wang
Xin Su
Bo Du
Liangpei Zhang
AI4TS
24
0
0
13 May 2025
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation
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
39
0
0
13 May 2025
A Physics-preserved Transfer Learning Method for Differential Equations
A Physics-preserved Transfer Learning Method for Differential Equations
Hao-Ran Yang
Chuan-Xian Ren
143
0
0
02 May 2025
Improving Routing in Sparse Mixture of Experts with Graph of Tokens
Improving Routing in Sparse Mixture of Experts with Graph of Tokens
Tam Minh Nguyen
Ngoc N. Tran
Khai Nguyen
Richard G. Baraniuk
MoE
66
0
0
01 May 2025
Fourier analysis of the physics of transfer learning for data-driven subgrid-scale models of ocean turbulence
Fourier analysis of the physics of transfer learning for data-driven subgrid-scale models of ocean turbulence
Moein Darman
P. Hassanzadeh
Laure Zanna
A. Chattopadhyay
27
0
0
21 Apr 2025
Learning Dual-Arm Coordination for Grasping Large Flat Objects
Learning Dual-Arm Coordination for Grasping Large Flat Objects
Yongliang Wang
H. Kasaei
32
0
0
04 Apr 2025
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training
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
Shri Kiran Srinivasan
AI4CE
34
1
0
24 Mar 2025
Sample-Efficient Bayesian Transfer Learning for Online Machine Parameter Optimization
Sample-Efficient Bayesian Transfer Learning for Online Machine Parameter Optimization
Philipp Wagner
Tobias Nagel
Philipp Leube
Marco F. Huber
58
0
0
20 Mar 2025
Machine learning for modelling unstructured grid data in computational physics: a review
Machine learning for modelling unstructured grid data in computational physics: a review
Sibo Cheng
Marc Bocquet
Weiping Ding
Tobias S. Finn
Rui Fu
...
Yong Zeng
Mingrui Zhang
Hao Zhou
Kewei Zhu
Rossella Arcucci
PINN
AI4CE
114
0
0
13 Feb 2025
Towards Foundational Models for Dynamical System Reconstruction: Hierarchical Meta-Learning via Mixture of Experts
Roussel Desmond Nzoyem
David A.W. Barton
Tom Deakin
72
1
0
07 Feb 2025
Neural equilibria for long-term prediction of nonlinear conservation laws
Neural equilibria for long-term prediction of nonlinear conservation laws
Jose Antonio Lara Benitez
Junyi Guo
Kareem Hegazy
Ivan Dokmanić
Michael W. Mahoney
Maarten V. de Hoop
38
0
0
12 Jan 2025
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation
  Model
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation Model
Yuqiu Liu
Jingxuan Xu
Mauricio Soroco
Yunchao Wei
Wuyang Chen
AI4CE
84
2
0
18 Dec 2024
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning
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
72
7
1
30 Nov 2024
MomentumSMoE: Integrating Momentum into Sparse Mixture of Experts
MomentumSMoE: Integrating Momentum into Sparse Mixture of Experts
R. Teo
Tan M. Nguyen
MoE
33
3
0
18 Oct 2024
Model Balancing Helps Low-data Training and Fine-tuning
Model Balancing Helps Low-data Training and Fine-tuning
Zihang Liu
Yihan Hu
Tianyu Pang
Yefan Zhou
Pu Ren
Yaoqing Yang
36
2
0
16 Oct 2024
MaD-Scientist: AI-based Scientist solving Convection-Diffusion-Reaction
  Equations Using Massive PINN-Based Prior Data
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
34
0
0
09 Oct 2024
Zebra: In-Context and Generative Pretraining for Solving Parametric PDEs
Zebra: In-Context and Generative Pretraining for Solving Parametric PDEs
Louis Serrano
Armand K. Koupai
Thomas X. Wang
Pierre Erbacher
Patrick Gallinari
AI4CE
35
3
0
04 Oct 2024
Scalable and Consistent Graph Neural Networks for Distributed Mesh-based
  Data-driven Modeling
Scalable and Consistent Graph Neural Networks for Distributed Mesh-based Data-driven Modeling
Shivam Barwey
Riccardo Balin
Bethany Lusch
Saumil Patel
Ramesh Balakrishnan
Pinaki Pal
R. Maulik
V. Vishwanath
GNN
AI4CE
28
1
0
02 Oct 2024
Neural Scaling Laws of Deep ReLU and Deep Operator Network: A
  Theoretical Study
Neural Scaling Laws of Deep ReLU and Deep Operator Network: A Theoretical Study
Hao Liu
Zecheng Zhang
Wenjing Liao
Hayden Schaeffer
25
1
0
01 Oct 2024
Zero-shot forecasting of chaotic systems
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
Provable In-Context Learning of Linear Systems and Linear Elliptic PDEs with Transformers
Frank Cole
Yulong Lu
Riley OÑeill
Tianhao Zhang
45
2
0
18 Sep 2024
LeMON: Learning to Learn Multi-Operator Networks
LeMON: Learning to Learn Multi-Operator Networks
Jingmin Sun
Zecheng Zhang
Hayden Schaeffer
38
6
0
28 Aug 2024
Self-supervised Pretraining for Partial Differential Equations
Self-supervised Pretraining for Partial Differential Equations
Varun Madhavan
Amal S Sebastian
Bharath Ramsundar
Venkatasubramanian Viswanathan
AI4CE
33
0
0
03 Jul 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving
Xihang Yue
Linchao Zhu
Yi Yang
AI4CE
34
1
0
14 Jun 2024
Strategies for Pretraining Neural Operators
Strategies for Pretraining Neural Operators
Anthony Y. Zhou
Cooper Lorsung
AmirPouya Hemmasian
Amir Barati Farimani
AI4CE
39
5
0
12 Jun 2024
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers
Zhou Hang
Yuezhou Ma
Haixu Wu
Haowen Wang
Mingsheng Long
AI4CE
36
9
0
27 May 2024
FMint: Bridging Human Designed and Data Pretrained Models for
  Differential Equation Foundation Model
FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model
Zezheng Song
Jiaxin Yuan
Haizhao Yang
AI4CE
40
17
0
23 Apr 2024
MODNO: Multi Operator Learning With Distributed Neural Operators
MODNO: Multi Operator Learning With Distributed Neural Operators
Zecheng Zhang
40
6
0
03 Apr 2024
Masked Autoencoders are PDE Learners
Masked Autoencoders are PDE Learners
Anthony Y. Zhou
A. Farimani
AI4CE
38
6
0
26 Mar 2024
Pretraining Codomain Attention Neural Operators for Solving Multiphysics
  PDEs
Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs
Md Ashiqur Rahman
Robert Joseph George
Mogab Elleithy
Daniel Leibovici
Zong-Yi Li
...
Julius Berner
Raymond A. Yeh
Jean Kossaifi
Kamyar Azizzadenesheli
A. Anandkumar
AI4CE
54
20
0
19 Mar 2024
Using Uncertainty Quantification to Characterize and Improve
  Out-of-Domain Learning for PDEs
Using Uncertainty Quantification to Characterize and Improve Out-of-Domain Learning for PDEs
S. C. Mouli
Danielle C. Maddix
S. Alizadeh
Gaurav Gupta
Andrew Stuart
Michael W. Mahoney
Yuyang Wang
UQCV
AI4CE
40
2
0
15 Mar 2024
PAPERCLIP: Associating Astronomical Observations and Natural Language
  with Multi-Modal Models
PAPERCLIP: Associating Astronomical Observations and Natural Language with Multi-Modal Models
S. Mishra-Sharma
Yiding Song
Jesse Thaler
31
7
0
13 Mar 2024
UPS: Efficiently Building Foundation Models for PDE Solving via
  Cross-Modal Adaptation
UPS: Efficiently Building Foundation Models for PDE Solving via Cross-Modal Adaptation
Junhong Shen
Tanya Marwah
Ameet Talwalkar
AI4CE
44
4
0
11 Mar 2024
Re-Simulation-based Self-Supervised Learning for Pre-Training Foundation Models
Re-Simulation-based Self-Supervised Learning for Pre-Training Foundation Models
Philip Harris
Michael Kagan
J. Krupa
B. Maier
Nathaniel Woodward
38
13
0
11 Mar 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE
  Pre-Training
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
24
22
0
06 Mar 2024
Building Flexible Machine Learning Models for Scientific Computing at
  Scale
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
32
0
0
25 Feb 2024
Data-Efficient Operator Learning via Unsupervised Pretraining and
  In-Context Learning
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
52
9
0
24 Feb 2024
A novel Fourier neural operator framework for classification of
  multi-sized images: Application to three dimensional digital porous media
A novel Fourier neural operator framework for classification of multi-sized images: Application to three dimensional digital porous media
Ali Kashefi
T. Mukerji
AI4CE
38
4
0
18 Feb 2024
PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar
  Nonlinear Conservation Laws
PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws
Liu Yang
Stanley J. Osher
AI4CE
48
18
0
14 Jan 2024
Generating synthetic data for neural operators
Generating synthetic data for neural operators
Erisa Hasani
Rachel A. Ward
AI4CE
47
8
0
04 Jan 2024
Operator learning for hyperbolic partial differential equations
Operator learning for hyperbolic partial differential equations
Christopher Wang
Alex Townsend
34
2
0
29 Dec 2023
Multiple Physics Pretraining for Physical Surrogate Models
Multiple Physics Pretraining for Physical Surrogate Models
Michael McCabe
Bruno Régaldo-Saint Blancard
Liam Parker
Ruben Ohana
M. Cranmer
...
Francois Lanusse
Mariel Pettee
Tiberiu Teşileanu
Kyunghyun Cho
Shirley Ho
PINN
AI4CE
34
52
0
04 Oct 2023
Neural Operators for Accelerating Scientific Simulations and Design
Neural Operators for Accelerating Scientific Simulations and Design
Kamyar Azzizadenesheli
Nikola B. Kovachki
Zong-Yi Li
Miguel Liu-Schiaffini
Jean Kossaifi
Anima Anandkumar
AI4CE
35
122
0
27 Sep 2023
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers
Liu Yang
Siting Liu
Stanley J. Osher
21
0
0
09 Aug 2023
Artificial General Intelligence for Medical Imaging
Artificial General Intelligence for Medical Imaging
Xiang Li
Lu Zhang
Zihao Wu
Zheng Liu
Lin Zhao
...
Pingkuan Yan
Quanzheng Li
Wei Liu
Tianming Liu
Dinggang Shen
LM&MA
AI4CE
19
40
0
08 Jun 2023
CONFIDE: Contextual Finite Differences Modelling of PDEs
CONFIDE: Contextual Finite Differences Modelling of PDEs
Ori Linial
Orly Avner
Dotan Di Castro
41
0
0
28 Mar 2023
Fourier Neural Operator with Learned Deformations for PDEs on General
  Geometries
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
Zong-Yi Li
Daniel Zhengyu Huang
Burigede Liu
Anima Anandkumar
AI4CE
119
251
0
11 Jul 2022
Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on
  Unseen Domains
Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domains
Hengjie Wang
R. Planas
Aparna Chandramowlishwaran
Ramin Bostanabad
AI4CE
50
61
0
22 Apr 2021
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