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GyroSwin: 5D Surrogates for Gyrokinetic Plasma Turbulence Simulations

NeurIPS 2025 · Probabilistic and scientific modeling › Dynamical systems · approach: Data assimilation from sparse observations · 0 citations (OpenAlex)

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Introduces GyroSwin, a multitask hierarchical Swin-based 5D neural surrogate that evolves the 5D gyrokinetic distribution function and predicts 3D potentials and heat flux, scaling to ~1B parameters.

Problem

Modeling plasma turbulence requires nonlinear 5D gyrokinetic simulations, which are computationally prohibitive; reduced quasilinear models omit nonlinear effects such as zonal flows.

Approach

Extends hierarchical Swin Transformer U-Nets to 5D with shifted 5D window attention, latent 5D<->3D cross-attention mixing and velocity-space integrator modules, multitask heads for f, potential and heat flux, and channelwise mode separation that isolates the zonal flow (k_y=0) mode as extra channels.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use GyroSwin instead of ViT for autoregressive 5D turbulence prediction5D neural surrogates · 5D turbulence modelling, ID and OODcorrelation time: 16.83 $\pm$ 1.49 -> 17.67 $\pm$ 2.16; 19.20 $\pm$ 1.36 -> 19.40 $\pm$ 1.46Helped
Scale GyroSwin training from 48 to 241 simulationsGyroSwin · Average heat flux ID and OODRMSE: 47.35 $\pm$ 6.20 -> 16.37 $\pm$ 3.68; 59.15 $\pm$ 15.62 -> 16.73 $\pm$ 5.58Helped
Scale GyroSwin training from 48 to 241 simulationsGyroSwin · Flux spectrum Q(ky) ID and OODPearson correlation: 0.59 $\pm$ 0.06 -> 0.87 $\pm$ 0.11; 0.69 $\pm$ 0.06 -> 0.91 $\pm$ 0.08Helped
Increase model size from 239M to 893M parameters at full dataGyroSwin · Validationloss: 12%Helped
Use DiT-style conditioning instead of FiLM (ablation)GyroSwin · Gyrokinetic predictionperformanceNo clear effect
Center the nonlinear flux vector when fitting the QuaLiKiz normalization (ablation)QuaLiKiz saturation rule · Nonlinear flux predictionerrorHelped
Use GyroSwin instead of QLReduced numerical modelling · Flux spectrum Q(ky), ID and OODPearson correlation: 0.51 $\pm$ 0.4 -> 0.59 $\pm$ 0.06; 0.58 $\pm$ 0.33 -> 0.69 $\pm$ 0.06Helped
Scale GyroSwin from 90.2M to 998.3M parametersGyroSwin · Flux spectrum Q(ky), ID and OODPearson correlation: 0.82 $\pm$ 0.10 -> 0.87 $\pm$ 0.11; 0.79 $\pm$ 0.09 -> 0.91 $\pm$ 0.08Mixed
Scale GyroSwin from small to medium model at 241 simulationsGyroSwin · Average heat flux ID and OODRMSE: 16.37 $\pm$ 3.68 -> 20.41 $\pm$ 3.86; 16.73 $\pm$ 5.58 -> 24.96 $\pm$ 5.63Mixed

Surprising findings

Limitations

Experimental setup

Datasets: GKW nonlinear gyrokinetic simulations (255 simulations, Cyclone base case, adiabatic electrons)

Benchmarks: in-distribution and out-of-distribution gyrokinetic test sets (6 ID, 5 OOD simulations)

Metrics: RMSE of time-averaged heat flux correlation time of 5D rollouts (Pearson threshold 0.1) Pearson correlation of Q(k_y) and W(k_y) forward time, memory, parameter count

Baselines: QuaLiKiz saturation rule (QL) Gaussian process regression MLP FNO PointNet Transolver ViT

Builds on: Swin Transformer Swin UNet Perceiver FiLM SwinV2

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