ResearchTrend.AI
  • Papers
  • Communities
  • Organizations
  • Events
  • Blog
  • Pricing
  • Feedback
  • Contact Sales
Papers
Communities
Social Events
Terms and Conditions
Pricing
Contact Sales
Parameter LabParameter LabTwitterGitHubLinkedInBlueskyYoutube

© 2025 ResearchTrend.AI, All rights reserved.

  1. Home
  2. Papers
  3. 2010.03957
  4. Cited By
Transformers for Modeling Physical Systems
v1v2v3v4v5v6 (latest)

Transformers for Modeling Physical Systems

4 October 2020
N. Geneva
N. Zabaras
    AI4CE
ArXiv (abs)PDFHTML

Papers citing "Transformers for Modeling Physical Systems"

50 / 68 papers shown
Title
On the Generalisation of Koopman Representations for Chaotic System Control
On the Generalisation of Koopman Representations for Chaotic System Control
Kyriakos Hjikakou
Juan Cardenas-Cartagena
Matthia Sabatelli
AI4CE
16
0
0
26 Aug 2025
Lost in Latent Space: An Empirical Study of Latent Diffusion Models for Physics Emulation
Lost in Latent Space: An Empirical Study of Latent Diffusion Models for Physics Emulation
François Rozet
Ruben Ohana
Michael McCabe
Gilles Louppe
F. Lanusse
S. Ho
DiffM
32
1
0
03 Jul 2025
GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations
GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations
Milad Ramezankhani
Janak M. Patel
A. Deodhar
Dagnachew Birru
AI4CE
57
1
0
16 Jun 2025
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations
Jin Song
Kenji Kawaguchi
Zhenya Yan
AI4CE
142
0
0
02 Jun 2025
True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics
True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics
Christoph Jürgen Hemmer
Daniel Durstewitz
AI4TSSyDaAI4CE
327
3
0
19 May 2025
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs
Shuwen Sun
Lihong Feng
P. Benner
106
0
0
01 May 2025
Cellular Development Follows the Path of Minimum Action
Cellular Development Follows the Path of Minimum Action
Rohola Zandie
Farhan Khodaee
Yufan Xia
Elazer R. Edelman
146
0
0
10 Apr 2025
Augmented Invertible Koopman Autoencoder for long-term time series forecasting
Augmented Invertible Koopman Autoencoder for long-term time series forecasting
Anthony Frion
Lucas Drumetz
M. Dalla Mura
Guillaume Tochon
Abdeldjalil Aissa El Bey
AI4TS
117
0
0
17 Mar 2025
MetaSym: A Symplectic Meta-learning Framework for Physical Intelligence
MetaSym: A Symplectic Meta-learning Framework for Physical Intelligence
Pranav Vaidhyanathan
Aristotelis Papatheodorou
Mark T. Mitchison
Natalia Ares
Ioannis Havoutis
PINNAI4CE
213
2
0
23 Feb 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
PINNAI4CE
208
9
0
13 Feb 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation
Qi Wang
Yuan Mi
Haoran Wang
Yi Zhang
Ruizhi Chengze
Hongsheng Liu
J. Wen
Hao Sun
AI4CE
136
2
0
28 Jan 2025
Koopman Learning with Episodic Memory
Koopman Learning with Episodic Memory
William T. Redman
Dean Huang
M. Fonoberova
Igor Mezić
152
1
0
08 Jan 2025
On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions
On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions
Jake Buzhardt
C. Ricardo Constante-Amores
Michael D. Graham
204
3
0
20 Nov 2024
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in
  Dynamical Systems Reconstruction
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction
Manuel Brenner
Christoph Jürgen Hemmer
Zahra Monfared
Daniel Durstewitz
AI4CE
105
5
0
18 Oct 2024
DAPE V2: Process Attention Score as Feature Map for Length Extrapolation
DAPE V2: Process Attention Score as Feature Map for Length Extrapolation
Chuanyang Zheng
Yihang Gao
Han Shi
Jing Xiong
Jiankai Sun
...
Xiaozhe Ren
Michael Ng
Xin Jiang
Zhenguo Li
Yu Li
129
5
0
07 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
GNNAI4CE
92
2
0
02 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems
Bocheng Zeng
Qi Wang
Ming Yan
Teli Ma
Ruizhi Chengze
Yi Zhang
Hongsheng Liu
Zidong Wang
Hao Sun
AI4CE
282
6
0
02 Oct 2024
M$^{2}$M: Learning controllable Multi of experts and multi-scale
  operators are the Partial Differential Equations need
M2^{2}2M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need
Aoming Liang
Zhaoyang Mu
Pengxiao Lin
Cong Wang
Mingming Ge
Ling Shao
Dixia Fan
Hao Tang
AI4CE
135
0
0
01 Oct 2024
AnyCar to Anywhere: Learning Universal Dynamics Model for Agile and
  Adaptive Mobility
AnyCar to Anywhere: Learning Universal Dynamics Model for Agile and Adaptive Mobility
Wenli Xiao
Haoru Xue
Tony Tao
Dvij Kalaria
John M. Dolan
Guanya Shi
104
12
0
24 Sep 2024
Universal Approximation of Operators with Transformers and Neural Integral Operators
Universal Approximation of Operators with Transformers and Neural Integral Operators
E. Zappala
Maryam Bagherian
94
2
0
01 Sep 2024
Generative Learning of the Solution of Parametric Partial Differential
  Equations Using Guided Diffusion Models and Virtual Observations
Generative Learning of the Solution of Parametric Partial Differential Equations Using Guided Diffusion Models and Virtual Observations
Han Gao
Sebastian Kaltenbach
Petros Koumoutsakos
DiffMAI4CE
143
14
0
31 Jul 2024
Vectorized Conditional Neural Fields: A Framework for Solving
  Time-dependent Parametric Partial Differential Equations
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations
Jan Hagnberger
Marimuthu Kalimuthu
Daniel Musekamp
Mathias Niepert
AI4TSAI4CE
152
6
0
06 Jun 2024
The Deep Latent Space Particle Filter for Real-Time Data Assimilation
  with Uncertainty Quantification
The Deep Latent Space Particle Filter for Real-Time Data Assimilation with Uncertainty Quantification
N. T. Mücke
Sander M. Bohté
C. Oosterlee
98
1
0
04 Jun 2024
Transformers as Neural Operators for Solutions of Differential Equations
  with Finite Regularity
Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity
Benjamin Shih
Ahmad Peyvan
Zhongqiang Zhang
George Karniadakis
AI4CE
118
18
0
29 May 2024
Transformer models classify random numbers
Transformer models classify random numbers
Rishabh Goel
YiZi Xiao
Ramin Ramezani
144
1
0
06 May 2024
Learning with SASQuaTCh: a Novel Variational Quantum Transformer Architecture with Kernel-Based Self-Attention
Learning with SASQuaTCh: a Novel Variational Quantum Transformer Architecture with Kernel-Based Self-Attention
Ethan N. Evans
Matthew G. Cook
Zachary P. Bradshaw
Margarite L. LaBorde
241
9
0
21 Mar 2024
Out-of-Domain Generalization in Dynamical Systems Reconstruction
Out-of-Domain Generalization in Dynamical Systems Reconstruction
Niclas Alexander Göring
Florian Hess
Manuel Brenner
Zahra Monfared
Daniel Durstewitz
AI4CE
143
19
0
28 Feb 2024
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations
Zijie Li
Saurabh Patil
Francis Ogoke
Dule Shu
Wilson Zhen
Michael Schneier
John R. Buchanan
A. Farimani
AI4CE
142
5
0
27 Feb 2024
Generative Learning for Forecasting the Dynamics of Complex Systems
Generative Learning for Forecasting the Dynamics of Complex Systems
Han Gao
Sebastian Kaltenbach
Petros Koumoutsakos
AI4TSAI4CE
154
8
0
27 Feb 2024
OmniArch: Building Foundation Model For Scientific Computing
OmniArch: Building Foundation Model For Scientific Computing
Tianyu Chen
Haoyi Zhou
Ying Li
Hao Wang
Chonghan Gao
Rongye Shi
Shanghang Zhang
Jianxin Li
AI4CE
155
1
0
25 Feb 2024
AI enhanced data assimilation and uncertainty quantification applied to
  Geological Carbon Storage
AI enhanced data assimilation and uncertainty quantification applied to Geological Carbon Storage
G. S. Seabra
N. T. Mücke
Vinicius Luiz Santos Silva
Denis Voskov
F. Vossepoel
AI4CE
84
18
0
09 Feb 2024
HAMLET: Graph Transformer Neural Operator for Partial Differential
  Equations
HAMLET: Graph Transformer Neural Operator for Partial Differential Equations
Andrey Bryutkin
Jiahao Huang
Zhongying Deng
Guang Yang
Carola-Bibiane Schönlieb
Angelica E. Avilés-Rivero
114
10
0
05 Feb 2024
Resolution invariant deep operator network for PDEs with complex
  geometries
Resolution invariant deep operator network for PDEs with complex geometries
Jianguo Huang
Yue Qiu
120
0
0
01 Feb 2024
TCNCA: Temporal Convolution Network with Chunked Attention for Scalable
  Sequence Processing
TCNCA: Temporal Convolution Network with Chunked Attention for Scalable Sequence Processing
Aleksandar Terzić
Michael Hersche
G. Karunaratne
Zixiao Huang
Abu Sebastian
Abbas Rahimi
AI4TS
79
1
0
09 Dec 2023
Multi-scale Time-stepping of Partial Differential Equations with
  Transformers
Multi-scale Time-stepping of Partial Differential Equations with Transformers
AmirPouya Hemmasian
A. Farimani
AI4CE
110
15
0
03 Nov 2023
Machine learning in physics: a short guide
Machine learning in physics: a short guide
F. A. Rodrigues
PINNAI4CE
77
9
0
16 Oct 2023
Easy attention: A simple attention mechanism for temporal predictions with transformers
Easy attention: A simple attention mechanism for temporal predictions with transformers
Marcial Sanchis-Agudo
Yuning Wang
Roger Arnau
L. Guastoni
Jasmin Lim
Karthik Duraisamy
Ricardo Vinuesa
AI4TS
112
0
0
24 Aug 2023
A generative model for surrogates of spatial-temporal wildfire
  nowcasting
A generative model for surrogates of spatial-temporal wildfire nowcasting
Sibo Cheng
Yike Guo
Rossella Arcucci
SyDaAI4CE
76
9
0
05 Aug 2023
InVAErt networks: a data-driven framework for model synthesis and
  identifiability analysis
InVAErt networks: a data-driven framework for model synthesis and identifiability analysis
Guoxiang Grayson Tong
Carlos A. Sing Long
Daniele E. Schiavazzi
121
8
0
24 Jul 2023
Machine learning for advancing low-temperature plasma modeling and
  simulation
Machine learning for advancing low-temperature plasma modeling and simulation
J. Trieschmann
Luca Vialetto
T. Gergs
AI4CE
127
6
0
30 Jun 2023
Robustness and Generalization Performance of Deep Learning Models on
  Cyber-Physical Systems: A Comparative Study
Robustness and Generalization Performance of Deep Learning Models on Cyber-Physical Systems: A Comparative Study
Alexander Windmann
Henrik S. Steude
Oliver Niggemann
OODAI4TSAAML
79
3
0
13 Jun 2023
Scalable Transformer for PDE Surrogate Modeling
Scalable Transformer for PDE Surrogate Modeling
Zijie Li
Dule Shu
A. Farimani
156
99
0
27 May 2023
OL-Transformer: A Fast and Universal Surrogate Simulator for Optical
  Multilayer Thin Film Structures
OL-Transformer: A Fast and Universal Surrogate Simulator for Optical Multilayer Thin Film Structures
Taigao Ma
Haozhu Wang
L. J. Guo
AI4CE
66
2
0
19 May 2023
Physics Informed Token Transformer for Solving Partial Differential
  Equations
Physics Informed Token Transformer for Solving Partial Differential Equations
Cooper Lorsung
Zijie Li
Amir Barati Farimani
AI4CE
166
18
0
15 May 2023
Orthogonal Transforms in Neural Networks Amount to Effective
  Regularization
Orthogonal Transforms in Neural Networks Amount to Effective Regularization
Krzysztof Zajkac
Wojciech Sopot
Paweł Wachel
81
0
0
10 May 2023
Physics-informed neural network for seismic wave inversion in layered
  semi-infinite domain
Physics-informed neural network for seismic wave inversion in layered semi-infinite domain
Pu Ren
Chengping Rao
Haoqin Sun
Yang Liu
PINN
91
6
0
09 May 2023
$β$-Variational autoencoders and transformers for reduced-order
  modelling of fluid flows
βββ-Variational autoencoders and transformers for reduced-order modelling of fluid flows
Alberto Solera-Rico
Carlos Sanmiguel Vila
Miguel Gómez-López
Yuning Wang
Abdulrahman Almashjary
Scott T. M. Dawson
Ricardo Vinuesa
DRL
117
104
0
07 Apr 2023
Learning Flow Functions from Data with Applications to Nonlinear
  Oscillators
Learning Flow Functions from Data with Applications to Nonlinear Oscillators
Miguel Aguiar
Amritam Das
Karl H. Johansson
83
2
0
29 Mar 2023
Quantifying uncertainty for deep learning based forecasting and
  flow-reconstruction using neural architecture search ensembles
Quantifying uncertainty for deep learning based forecasting and flow-reconstruction using neural architecture search ensembles
R. Maulik
Romain Egele
Krishnan Raghavan
Prasanna Balaprakash
UQCVAI4TSAI4CE
93
8
0
20 Feb 2023
AttNS: Attention-Inspired Numerical Solving For Limited Data Scenarios
AttNS: Attention-Inspired Numerical Solving For Limited Data Scenarios
Zhongzhan Huang
Mingfu Liang
Liang Lin
Liang Lin
129
5
0
05 Feb 2023
12
Next