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SCENT: Robust Spatiotemporal Learning for Continuous Scientific Data via Scalable Conditioned Neural Fields

ICML 2025 · Architectures and efficiency › Attention and transformers · approach: Transformer neural operators for PDEs · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add Context Embedding Network (sparse self-attention in encoder) (ablation)SCENT · S5 ablationRel-MSE: +23.3% Rel-MSE when removedHelped
add Calibration Network (sparse self-attention in decoder) (ablation)SCENT · S5 ablationRel-MSE: +11.0% Rel-MSE when removedHelped
add linear projection of input samples (ablation)SCENT · S5 ablationRel-MSE: +4.9% Rel-MSE when removedHelped
provide output time t_o to the encoder (time-targeted spatial encoder) (ablation)SCENT · S5 ablationRel-MSE: +4.29% Rel-MSE when removedHelped
remove all four components (CEN, CN, Proj, TT) (ablation)SCENT · S5 ablationRel-MSE: +67.8% Rel-MSEHurt
SCENT architecture with warp-unrolling forecasting and time-continuity versus baselinesSCENT · simulated S1-S5 forecastingRel-MSE: S1 2.51e-2 vs FNO 4.27e-2Helped
SCENT vs baselines on AirDelhi AD-BSCENT · AirDelhi AD-BRMSE: 44.20 vs AROMA 40.78Hurt
SCENT vs baselines on AirDelhi AD-T and AD-FSCENT · AirDelhi AD-T / AD-FRMSE: 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 forecastingSCENT · NS-4 / NS-5Rel-MSE: NS-4 1.03e-1 vs AROMA 1.05e-1; NS-5 1.17e-1 vs 1.24e-1No clear effect
increase model size (latent dim 128 to 1024) with scalingSCENT vs FNO · S5 scalabilityRel-MSE: both decrease with size; SCENT follows a linear trend and stays below FNOHelped
increase training dataset size (30k to 100k trajectories)SCENT · S5 dataset scalabilityRel-MSEHelped

Surprising findings

Limitations

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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