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Earthfarsser: Versatile Spatio-Temporal Dynamical Systems Modeling in One Model

AAAI 2024 · Probabilistic and scientific modeling › Dynamical systems · approach: Data assimilation from sparse observations · 47 citations (OpenAlex)

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Proposes EarthFarseer, a spatio-temporal forecasting framework combining parallel local convolutions with a global Fourier-based transformer (FoTF) for space and a Fourier/multi-scale convolutional temporal module (TeDev) with a flexible-length decoder, evaluated on eight physical and social dynamics datasets.

Problem

Spatio-temporal dynamical system forecasting suffers from weak local fidelity, poor long-horizon prediction, low scalability across tasks and resolutions, and inefficient training.

Approach

Parallel local CNN and global Fourier-based token-mixing transformer branches with up/down-sampling interaction for space, plus a Fourier-domain multi-scale fully convolutional temporal module and a two-stage decoder that can output arbitrary target lengths and resolutions.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add the local convolutional component (ablation)EarthFarseer · TaxiBJ+MAE: 2.8 -> 2.1Helped
add the global Fourier-based Transformer (FoTF) (ablation)EarthFarseer · TaxiBJ+MAE: 2.4 -> 2.1Helped
add TeDev (ablation)EarthFarseer · MovingMNISTMSE: 22.1 -> 14.9Helped
use the full decoder instead of a linear convolutional decoder (ablation)EarthFarseer · RDMSE: 10.2 -> 9.4Helped
use TeDev instead of ViT (ablation)EarthFarseer · MovingMNISTMSE: 23.5 -> 14.9Helped
use TeDev instead of SwinT (ablation)EarthFarseer · MovingMNISTMSE: 21.3 -> 14.9Helped

Limitations

Experimental setup

Datasets: MovingMNIST TaxiBJ+ KTH SEVIR RainNet Pollutant-Diffusion (PD) Reaction-Diffusion (RD) 2DSWE

Benchmarks: MovingMNIST TaxiBJ+ KTH SEVIR RainNet PD RD 2DSWE

Metrics: MSE MAE MAPE CSI-M RMSE

Baselines: ConvLSTM PredRNN-v2 E3D-LSTM SimVP ViT Swin Transformer Rainformer Earthformer PhyDNet Vid-ODE PDE-STD FourCastNet

Builds on: GFNet Earthformer SimVP

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