Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction | Paper Citation Record

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This paper cites Numerical Computation of Internal and External Flows.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Numerical Computation of Internal and External Flows

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Unresolved cited work

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This paper cites Direct numerical simulation: a tool in turbulence research.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Direct numerical simulation: a tool in turbulence research

Reference 3

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Turbulence modeling and simulation advances in CFD during the past 50 years

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This paper cites Brunton, Bernd R.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Brunton, Bernd R

Reference 5

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This paper cites Data reconstruction for complex flows using AI: Recent progress, obstacles, and perspectives.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Data reconstruction for complex flows using AI: Recent progress, obstacles, and perspectives

Reference 6

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This paper cites Turbulence modeling in the age of data.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Turbulence modeling in the age of data

Reference 7

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This paper cites Bharath, and Chris D.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Bharath, and Chris D

Reference 8

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Unresolved cited work

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This paper cites Karniadakis.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Karniadakis

Reference 10

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This paper cites Likas, and Dimitrios I.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Likas, and Dimitrios I

Reference 11

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This paper cites Likas, and Dimitrios G.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Likas, and Dimitrios G

Reference 12

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This paper cites The graph neural network model.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction The graph neural network model

Reference 13

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This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Fourier Neural Operator for Parametric Partial Differential Equations

Reference 14

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This paper cites Prediction of turbulent channel flow using Fourier neural operator-based machine-learning strategy.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Prediction of turbulent channel flow using Fourier neural operator-based machine-learning strategy

Reference 15

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This paper cites Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems

Reference 16

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This paper cites Karniadakis.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Karniadakis

Reference 17

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This paper cites Poseidon: Efficient Foundation Models for PDEs.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Poseidon: Efficient Foundation Models for PDEs

Reference 18

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This paper cites PDE-Refiner: Achieving accurate long rollouts with neural PDE solvers.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction PDE-Refiner: Achieving accurate long rollouts with neural PDE solvers

Reference 19

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This paper cites KAN: Kolmogorov-Arnold Networks.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction KAN: Kolmogorov-Arnold Networks

Reference 20

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This paper cites Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks

Reference 21

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This paper cites Generative Adversarial Networks.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Generative Adversarial Networks

Reference 22

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This paper cites Generative modeling of turbulence.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Generative modeling of turbulence

Reference 23

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This paper cites Auto-Encoding Variational Bayes.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Auto-Encoding Variational Bayes

Reference 24

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This paper cites Deep unsupervised learning using nonequilibrium thermo- dynamics.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Deep unsupervised learning using nonequilibrium thermo- dynamics

Reference 25

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This paper cites Denoising di ffusion probabilistic models.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Denoising di ffusion probabilistic models

Reference 26

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This paper cites Comparison of generative learning methods for turbulence modeling.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Comparison of generative learning methods for turbulence modeling

Reference 27

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This paper cites Neural di fferentiable modeling with diffusion-based super-resolution for two-dimensional spatiotemporal turbulence.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Neural di fferentiable modeling with diffusion-based super-resolution for two-dimensional spatiotemporal turbulence

Reference 28

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This paper cites From Zero to Turbulence: Generative Modeling for 3D Flow Simulation.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction From Zero to Turbulence: Generative Modeling for 3D Flow Simulation

Reference 29

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This paper cites Prince, and Marcus A.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Prince, and Marcus A

Reference 30

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This paper cites Flow Matching for Generative Modeling.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Flow Matching for Generative Modeling

Reference 31

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This paper cites Neural Ordinary Differential Equations.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Neural Ordinary Differential Equations

Reference 32

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This paper cites Di ffusion schr ¨odinger bridge with applications to score-based generative modeling.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Di ffusion schr ¨odinger bridge with applications to score-based generative modeling

Reference 33

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This paper cites Stochastic Interpolants: A Unifying Framework for Flows and Diffusions.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Stochastic Interpolants: A Unifying Framework for Flows and Diffusions

Reference 34

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This paper cites On conditional diffusion models for PDE simulations.Advances in Neural Information Processing Systems, 37:23246–23300, 2024.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction On conditional diffusion models for PDE simulations.Advances in Neural Information Processing Systems, 37:23246–23300, 2024

Reference 35

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This paper cites Benchmarking Autoregressive Conditional Diffusion Models for Turbulent Flow Simulation.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Benchmarking Autoregressive Conditional Diffusion Models for Turbulent Flow Simulation

Reference 36

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This paper cites DiffusionPDE: Generative PDE-Solving Under Partial Observation.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction DiffusionPDE: Generative PDE-Solving Under Partial Observation

Reference 37

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This paper cites CoNFiLD: Conditional Neural Field Latent Diffusion Model Generating Spatiotemporal Turbulence.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction CoNFiLD: Conditional Neural Field Latent Diffusion Model Generating Spatiotemporal Turbulence

Reference 38

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This paper cites Andersson, Andrew El-Kadi, Dominic Masters, Timo Ewalds, Jacklynn Stott, Shakir Mohamed, Peter Battaglia, Remi Lam, and Matthew Willson.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Andersson, Andrew El-Kadi, Dominic Masters, Timo Ewalds, Jacklynn Stott, Shakir Mohamed, Peter Battaglia, Remi Lam, and Matthew Willson

Reference 39

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This paper cites Janik, and Yaron Oz.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Janik, and Yaron Oz

Reference 40

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This paper cites DYffusion: A dynamics-informed diffusion model for spatiotemporal forecasting.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction DYffusion: A dynamics-informed diffusion model for spatiotemporal forecasting

Reference 41

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This paper cites Pi-fusion: Physics-informed diffusion model for learning fluid dynamics.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Pi-fusion: Physics-informed diffusion model for learning fluid dynamics

Reference 42

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This paper cites Physics-Informed Diffusion Models.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Physics-Informed Diffusion Models

Reference 43

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This paper cites A physics-informed di ffusion model for high-fidelity flow field reconstruction.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction A physics-informed di ffusion model for high-fidelity flow field reconstruction

Reference 44

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Observation fdd280b1-c0e3-4307-bbcc-e6377c6c67a4 · outbound

This paper cites A Denoising Diffusion Model for Fluid Field Prediction.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction A Denoising Diffusion Model for Fluid Field Prediction

Reference 45

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This paper cites Conditional score-based diffusion models for solving inverse problems in mechanics.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Conditional score-based diffusion models for solving inverse problems in mechanics

Reference 46

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This paper cites Generative learning of the solution of parametric partial di fferential equations using guided diffusion models and virtual observations.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Generative learning of the solution of parametric partial di fferential equations using guided diffusion models and virtual observations

Reference 47

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This paper cites CoCoGen: Physically consistent and conditioned score-based generative models for forward and inverse problems.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction CoCoGen: Physically consistent and conditioned score-based generative models for forward and inverse problems

Reference 48

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This paper cites Adding conditional control to text-to-image di ffusion models.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Adding conditional control to text-to-image di ffusion models

Reference 49

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Observation b3feff3f-628d-48ee-a507-c04d0d17d56a · outbound

This paper cites Physics-informed Score-based Diffusion Model for Limited-angle Reconstruction of Cardiac Computed Tomography.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Physics-informed Score-based Diffusion Model for Limited-angle Reconstruction of Cardiac Computed Tomography

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:37:05.470849Z

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Observation e752c09d-aac5-4e15-8463-86accbeac721 · outbound

This paper cites Physics-aware generative models for turbulent fluid flows through energy-consistent stochastic interpolants.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Physics-aware generative models for turbulent fluid flows through energy-consistent stochastic interpolants

Reference 51

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This paper cites Fielding, Eve C.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Fielding, Eve C

Reference 52

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Observation 1391be04-6600-4d0d-9159-9110208b1b2a · outbound

This paper cites Appel, Shmuel Bialy, Jungyeon Cho, Andrew J.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Appel, Shmuel Bialy, Jungyeon Cho, Andrew J

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Observation 569e8815-2fb5-4ec0-8cdf-e27e3d45465d · outbound

This paper cites Score-Based Generative Modeling through Stochastic Differential Equations.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Score-Based Generative Modeling through Stochastic Differential Equations

Reference 54

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Unresolved cited work

Reference 55

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This paper cites Understanding Diffusion Models: A Unified Perspective.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Understanding Diffusion Models: A Unified Perspective

Reference 56

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction U-Net: Convolutional networks for biomedical image segmentation

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This paper cites Estimation of non-normalized statistical models by score matching.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Estimation of non-normalized statistical models by score matching

Reference 58

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Generative modeling by estimating gradients of the data distribution

Reference 59

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This paper cites Stochastic Differential Equations: an Introduction with Applications.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Stochastic Differential Equations: an Introduction with Applications

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This paper cites Applied Stochastic Differential Equations, volume 10.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Applied Stochastic Differential Equations, volume 10

Reference 61

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This paper cites Anderson.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Anderson

Reference 62

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This paper cites Time reversal of diffusion processes under a finite entropy condition.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Time reversal of diffusion processes under a finite entropy condition

Reference 63

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This paper cites Haussmann and ´Etienne Pardoux.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Haussmann and ´Etienne Pardoux

Reference 64

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This paper cites Sliced score matching: A scalable approach to density and score estimation.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Sliced score matching: A scalable approach to density and score estimation

Reference 65

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This paper cites Improved techniques for training score-based generative models.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Improved techniques for training score-based generative models

Reference 66

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This paper cites A connection between score matching and denoising autoencoders.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction A connection between score matching and denoising autoencoders

Reference 67

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This paper cites A variational perspective on diffusion-based generative models and score matching.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction A variational perspective on diffusion-based generative models and score matching

Reference 68

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Variational di ffusion models

Reference 69

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Maximum likelihood training of score-based di ffusion models

Reference 70

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Elucidating the design space of di ffusion-based generative models

Reference 71

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Improved techniques for maximum likelihood estimation for di ffusion ODEs

Reference 72

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This paper cites A probabilistic generative model for semi-supervised training of coarse-grained surrogates and enforcing physical constraints through virtual observables.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction A probabilistic generative model for semi-supervised training of coarse-grained surrogates and enforcing physical constraints through virtual observables

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:07.635546Z

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This paper cites A Score-based Generative Solver for PDE-constrained Inverse Problems with Complex Priors.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction A Score-based Generative Solver for PDE-constrained Inverse Problems with Complex Priors

Reference 74

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Classifier-Free Diffusion Guidance

Reference 75

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Unveil Conditional Diffusion Models with Classifier-free Guidance: A Sharp Statistical Theory

Reference 76

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Conditional Image Generation with Score-Based Diffusion Models

Reference 77

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Economon, Francisco Palacios, Sean R

Reference 78

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This paper cites Goldberg, Keiya Hirashima, Yan-Fei Jiang, Rich R.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Goldberg, Keiya Hirashima, Yan-Fei Jiang, Rich R

Reference 79

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This paper cites Attention Is All You Need.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Attention Is All You Need

Reference 80

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Image-to-image translation with conditional adversarial networks

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:07.135139Z

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Observation 4fa0ed83-91d7-400c-a29f-e6a582c33e53 · outbound

This paper cites Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them

Reference 82

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This paper cites Robinson.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Robinson

Reference 83

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Pearson correlation coe fficient

Reference 84

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction On coherent-vortex identification in turbulence

Reference 85

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Observation 55bf8e93-66d5-4c2c-91d0-b13d6c30d55e · outbound

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Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Scale-space and edge detection using anisotropic di ffusion

Reference 86

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