mlsanityData to 7 Oct 2026

Multiple Physics Pretraining for Physical Surrogate Models

arXiv 2310.02994 ↗First posted 4 Oct 2023cs.LG cs.AI stat.MLcited by 90

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Abstract (arXiv)

We introduce multiple physics pretraining (MPP), an autoregressive task-agnostic pretraining approach for physical surrogate modeling of spatiotemporal systems with transformers. In MPP, rather than training one model on a specific physical system, we train a backbone model to predict the dynamics of multiple heterogeneous physical systems simultaneously in order to learn features that are broadly useful across systems and facilitate transfer. In order to learn effectively in this setting, we introduce a shared embedding and normalization strategy that projects the fields of multiple systems into a shared embedding space. We validate the efficacy of our approach on both pretraining and downstream tasks over a broad fluid mechanics-oriented benchmark. We show that a single MPP-pretrained transformer is able to match or outperform task-specific baselines on all pretraining sub-tasks without the need for finetuning. For downstream tasks, we demonstrate that finetuning MPP-trained models results in more accurate predictions across multiple time-steps on systems with previously unseen physical components or higher dimensional systems compared to training from scratch or finetuning pretrained video foundation models. We open-source our code and model weights trained at multiple scales for reproducibility.

Key facts. Cited by 90 papers in the map (data through 7 Oct 2026). Builds on 72 of its 100 references that are in the map. First posted on arXiv 4 Oct 2023.

Builds on

72 of 100 references.

References · 72

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 43; 2025: 27; 2026: 20.

90 papers.

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  1. 2024Poseidon: Efficient Foundation Models for PDEscited by 186
  2. 2024DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Trainingcited by 137
  3. 2024The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learningcited by 134
  4. 2024Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEscited by 58
  5. 2024CViT: Continuous Vision Transformer for Operator Learningcited by 47
  6. 2024Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolationcited by 45
  7. 2024PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamicscited by 33
  8. 2024Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learningcited by 32
  9. 2024Unisolver: PDE-Conditional Transformers Towards Universal Neural PDE Solverscited by 31
  10. 2024PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Lawscited by 30
  11. 2024On the Benefits of Memory for Modeling Time-Dependent PDEscited by 30
  12. 2025PDE-Transformer: Efficient and Versatile Transformers for Physics Simulationscited by 29
38 more
  1. 2025Generative Latent Neural PDE Solver using Flow Matchingcited by 28
  2. 2024UPS: Efficiently Building Foundation Models for PDE Solving via Cross-Modal Adaptationcited by 27
  3. 2024Recent Advances on Machine Learning for Computational Fluid Dynamics: A Surveycited by 27
  4. 2025Walrus: A Cross-Domain Foundation Model for Continuum Dynamicscited by 26
  5. 2024Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operatorscited by 25
  6. 2024VICON: Vision In-Context Operator Networks for Multi-Physics Fluid Dynamics Predictioncited by 22
  7. 2024Re-Simulation-based Self-Supervised Learning for Pre-Training Foundation Modelscited by 21
  8. 2025DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic predictioncited by 21
  9. 2026Transolver-3: Scaling Up Transformer Solvers to Industrial-Scale Geometriescited by 20
  10. 2025FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modelingcited by 19
  11. 2024FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Modelcited by 18
  12. 2025BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamicscited by 16
  13. 2024PAPERCLIP: Associating Astronomical Observations and Natural Language with Multi-Modal Modelscited by 15
  14. 2024MODNO: Multi Operator Learning With Distributed Neural Operatorscited by 14
  15. 2024Strategies for Pretraining Neural Operatorscited by 14
  16. 2024Zebra: In-Context Generative Pretraining for Solving Parametric PDEscited by 14
  17. 2024Knowledge-guided Machine Learning: Current Trends and Future Prospectscited by 13
  18. 2024LeMON: Learning to Learn Multi-Operator Networkscited by 13
  19. 2024Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equationscited by 11
  20. 2024Uncertainty Quantification of Surrogate Models using Conformal Predictioncited by 11
  21. 2024Model Balancing Helps Low-data Training and Fine-tuningcited by 11
  22. 2024DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuningcited by 11
  23. 2024Holistic Physics Solver: Learning PDEs in a Unified Spectral-Physical Spacecited by 10
  24. 2024NeuralDEM -- Real-time Simulation of Industrial Particulate Flowscited by 10
  25. 2025Mixture-of-Experts Operator Transformer for Large-Scale PDE Pre-Trainingcited by 10
  26. 2024Neural Context Flows for Meta-Learning of Dynamical Systemscited by 9
  27. 2025Probabilistic operator learning: generative modeling and uncertainty quantification for foundation models of differential equationscited by 9
  28. 2024OmniArch: Building Foundation Model For Scientific Computingcited by 8
  29. 2025Particle Trajectory Representation Learning with Masked Point Modelingcited by 8
  30. 2025HyPINO: Multi-Physics Neural Operators via HyperPINNs and the Method of Manufactured Solutionscited by 8
  31. 2026Test-time Generalization for Physics through Neural Operator Splittingcited by 8
  32. 2026Representation Learning for Spatiotemporal Physical Systemscited by 8
  33. 2025Advancing the Scientific Method with Large Language Models: From Hypothesis to Discoverycited by 7
  34. 2024Contextual Counting: A Mechanistic Study of Transformers on a Quantitative Taskcited by 6
  35. 2025EddyFormer: Accelerated Neural Simulations of Three-Dimensional Turbulence at Scalecited by 6
  36. 2025A Deep Learning Framework for Multi-Operator Learning: Architectures and Approximation Theorycited by 6
  37. 2024Advection Augmented Convolutional Neural Networkscited by 5
  38. 2024Pretraining a Neural Operator in Lower Dimensionscited by 5

50 most cited of 90 All 90 (JSON)