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Graph-based Forecasting with Missing Data through Spatiotemporal Downsampling

ICML 2024 · Time series › Long-term forecasting · approach: Spatiotemporal forecasting models · 2 citations (OpenAlex)

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Proposes Hierarchical Downsampling Spatiotemporal Time Series (HDTTS-style) model that coarsens inputs over time and space, combining multi-scale representations with an interpretable attention decoder to forecast graph time series under missing data.

Problem

Spatiotemporal forecasting on sensor graphs when input observations are missing, especially in contiguous spatiotemporal blocks, where standard STGNNs assume complete inputs and fail to capture dynamics.

Approach

Hierarchical time-then-space downsampling: temporal layers decimate sequences by a factor d while k-MIS graph pooling coarsens the graph, producing a pool of multi-scale representations that are weighted per node by a soft attention conditioned on observations and the missing-data mask, with no imputation step.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use hierarchical spatiotemporal downsampling with adaptive scale attentionModel-IMP versus TTSAMP · MSODS block_propMAE: 0.669 ±0.013 -> 0.651 ±0.023Helped
Use hierarchical spatiotemporal downsampling with adaptive scale attentionModel-IMP versus TTSAMP · EngRAD block_propMAE: 4.81 ±0.06 -> 4.64 ±0.03Helped
Use hierarchical spatiotemporal downsampling with adaptive scale attentionModel-AMP versus TTSAMP · AIR + PointMAE: 16.15 ±0.05 -> 15.76 ±0.07Helped
Use hierarchical spatiotemporal downsampling with adaptive scale attentionModel-IMP versus TTSAMP · PVUS blockMAE: 3.46 ±0.03 -> 3.47 ±0.01No clear effect
Use hierarchical spatiotemporal downsampling with adaptive scale attentionModel-AMP versus TTSAMP · PVUS block_propMAE: 3.65 ±0.05 -> 3.61 ±0.02Helped
Use hierarchical spatiotemporal downsampling with adaptive scale attentionModel-IMP versus TTSAMP · MSODS point (5%)MAE: 0.063 ±0.003 -> 0.058 ±0.004Helped

Surprising findings

Limitations

Experimental setup

Datasets: MSO AIR ENGRAD PVUS

Benchmarks: MSO AIR ENGRAD PVUS

Metrics: MAE batches per second GPU RAM

Baselines: DCRNN GraphWaveNet AGCRN TTS-IMP TTS-AMP TAS-IMP TAS-AMP GRU-D GRU-I GRIN GRU

Builds on: GRU diffusion convolution k-MIS pooling GRIN Select-Reduce-Connect

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