Generative emulation of chaotic dynamics with coherent prior
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Abstract (arXiv)
Data-driven emulation of nonlinear dynamics is challenging due to long-range skill decay that often produces physically unrealistic outputs. Recent advances in generative modeling aim to address these issues by providing uncertainty quantification and correction. However, the quality of generated simulation remains heavily dependent on the choice of conditioning priors. In this work, we present an efficient generative framework for dynamics emulation, unifying principles of turbulence with diffusion-based modeling: Cohesion. Specifically, our method estimates large-scale coherent structure of the underlying dynamics as guidance during the denoising process, where small-scale fluctuation in the flow is then resolved. These coherent priors are efficiently approximated using reduced-order models, such as deep Koopman operators, that allow for rapid generation of long prior sequences while maintaining stability over extended forecasting horizon. With this gain, we can reframe forecasting as trajectory planning, a common task in reinforcement learning, where conditional denoising is performed once over entire sequences, minimizing the computational cost of autoregressive-based generative methods. Empirical evaluations on chaotic systems of increasing complexity, including Kolmogorov flow, shallow water equations, and subseasonal-to-seasonal climate dynamics, demonstrate Cohesion superior long-range forecasting skill that can efficiently generate physically-consistent simulations, even in the presence of partially-observed guidance.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Builds on 44 of its 76 references that are in the map. First posted on arXiv 19 Apr 2025.
Builds on
44 of 76 references.
References · 44
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Built on by
Citing papers per year: 2025: 3; 2026: 4.
7 papers.
- 2025CausalDynamics: A large-scale benchmark for structural discovery of dynamical causal modelscited by 8
- 2025Strictly Constrained Generative Modeling via Split Augmented Langevin Samplingcited by 6
- 2025Deep Koopman operator framework for causal discovery in nonlinear dynamical systemscited by 2
- 2026Accurate and Efficient Hybrid-Ensemble Atmospheric Data Assimilation in Latent Space with Uncertainty Quantificationcited by 1
- 2026Towards Infinitely Long Neural Simulations: Self-Refining Neural Surrogate Models for Dynamical Systemscited by 1
- 2026Wavelet Flow Matching for Multi-Scale Physics Emulationcited by 0
- 2026Koopman early warning signals for bifurcation and rate-induced tippingcited by 0
- 2026Koopman early warning signals for bifurcation and rate-induced tipping12 Aug 2026
- 2026Wavelet Flow Matching for Multi-Scale Physics Emulation15 May 2026
- 2026Towards Infinitely Long Neural Simulations: Self-Refining Neural Surrogate Models for Dynamical Systems18 Mar 2026
- 2026Accurate and Efficient Hybrid-Ensemble Atmospheric Data Assimilation in Latent Space with Uncertainty Quantification4 Mar 2026
- 2025Strictly Constrained Generative Modeling via Split Augmented Langevin Sampling23 May 2025
- 2025CausalDynamics: A large-scale benchmark for structural discovery of dynamical causal models22 May 2025
- 2025Deep Koopman operator framework for causal discovery in nonlinear dynamical systems20 May 2025
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