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SCENT: Robust Spatiotemporal Learning for Continuous Scientific Data via Scalable Conditioned Neural Fields
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Proposes SCENT, a transformer encoder-processor-decoder conditioned neural field with learnable queries, sparse attention and warp-unrolling forecasting for joint reconstruction, interpolation and forecasting of sparse, noisy scientific spatiotemporal data.
Problem
Spatiotemporal learning from irregular, sparse, noisy, and high-volume scientific data, requiring continuous-in-space-and-time representations that support reconstruction, interpolation, and forecasting at scale.
Approach
A conditioned neural field built on an encoder-processor-decoder transformer with trainable latent queries, sparse self-attention in encoder/decoder, a time-warp processor that conditions on continuous time offsets, and warp-unrolling forecasting that jumps to the time horizon to limit error accumulation.
Key results
- On simulated S1 forecasting, SCENT reaches Rel-MSE 2.51e-2 vs 4.27e-2 for FNO (best baseline), and wins on S2-S5.
- On Navier-Stokes NS-3, SCENT achieves MSE 7.78e-5 vs 1.32e-4 for AROMA; on NS-4 1.03e-1 vs 1.05e-1 and NS-5 1.17e-1 vs 1.24e-1.
- On AirDelhi AD-T and AD-F, SCENT achieves RMSE 53.24 and 45.35, best among baselines; on AD-B AROMA (40.78) beats SCENT (44.20).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add Context Embedding Network (sparse self-attention in encoder) (ablation) | SCENT · S5 ablation | Rel-MSE: +23.3% Rel-MSE when removed | Helped |
| add Calibration Network (sparse self-attention in decoder) (ablation) | SCENT · S5 ablation | Rel-MSE: +11.0% Rel-MSE when removed | Helped |
| add linear projection of input samples (ablation) | SCENT · S5 ablation | Rel-MSE: +4.9% Rel-MSE when removed | Helped |
| provide output time t_o to the encoder (time-targeted spatial encoder) (ablation) | SCENT · S5 ablation | Rel-MSE: +4.29% Rel-MSE when removed | Helped |
| remove all four components (CEN, CN, Proj, TT) (ablation) | SCENT · S5 ablation | Rel-MSE: +67.8% Rel-MSE | Hurt |
| SCENT architecture with warp-unrolling forecasting and time-continuity versus baselines | SCENT · simulated S1-S5 forecasting | Rel-MSE: S1 2.51e-2 vs FNO 4.27e-2 | Helped |
| SCENT vs baselines on AirDelhi AD-B | SCENT · AirDelhi AD-B | RMSE: 44.20 vs AROMA 40.78 | Hurt |
| SCENT vs baselines on AirDelhi AD-T and AD-F | SCENT · AirDelhi AD-T / AD-F | RMSE: AD-T 53.24 vs 55.04 (FNO); AD-F 45.35 vs 47.49 (AROMA) | Helped |
| SCENT vs baselines on NS-4 and NS-5 long-term forecasting | SCENT · NS-4 / NS-5 | Rel-MSE: NS-4 1.03e-1 vs AROMA 1.05e-1; NS-5 1.17e-1 vs 1.24e-1 | No clear effect |
| increase model size (latent dim 128 to 1024) with scaling | SCENT vs FNO · S5 scalability | Rel-MSE: both decrease with size; SCENT follows a linear trend and stays below FNO | Helped |
| increase training dataset size (30k to 100k trajectories) | SCENT · S5 dataset scalability | Rel-MSE | Helped |
Surprising findings
- FNO performs competitively on simulated challenging datasets despite lacking mesh independence.
- On AD-B, SCENT ranks second behind AROMA.
Limitations
- On AD-B, SCENT is outperformed by AROMA.
- FNO was modified to handle sparse data via zero-padding, which may affect its comparison.
- SCENT is the most computationally expensive per training step at NS-3 scale among the compared models.
Experimental setup
Datasets: Navier-Stokes NS-3, NS-4, NS-5 benchmarks simulated Navier-Stokes variants S1-S5 (new) AirDelhi AD-B, AD-T, AD-F
Benchmarks: Navier-Stokes NS-3 Navier-Stokes NS-4 Navier-Stokes NS-5 S1-S5 simulated datasets AirDelhi AD-B AirDelhi AD-T AirDelhi AD-F
Metrics: Rel-MSE MSE RMSE
Baselines: FNO OFormer CORAL AROMA DINO GNOT nearest-neighbor interpolation RBF interpolation IDW Random Forest XGBoost ARIMA
Builds on: CORAL OFormer Perceiver-style inducing point cross-attention Fourier features
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