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TimeBase: The Power of Minimalism in Efficient Long-term Time Series Forecasting

ICML 2025 · Time series › Long-term forecasting · approach: Lightweight long-term forecasters

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Proposes TimeBase, an ultra-lightweight (0.39K parameters) long-term forecaster that extracts low-rank basis components from segmented series and forecasts at segment level, also usable as a complexity reducer for patch-based models.

Problem

Long-term time series forecasting typically relies on models with thousands to millions of parameters, incurring high computational and memory cost despite time series often having temporal pattern similarity and low-rank structure.

Approach

Segment the series into patches of basis length P, learn a small set of R basis components via a linear layer with an orthogonality regularizer, and forecast future segments by linearly combining these basis components, so parameters scale with T/P and L/P rather than TL.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use TimeBase instead of DLinearLTSF forecasting across 17 normal-scale datasets · 17 normal-scale datasetsMSE: 8.82%Helped
Use TimeBase instead of SparseTSF or FITSLTSF forecasting across 17 normal-scale datasets · 17 normal-scale datasetsMSE: 6.15∼6.34%Helped
Add TimeBase basis extraction before patchingPatchTST · 7 datasets, 56 forecasting metricsMSE: 1.27%Mixed
Add TimeBase basis extraction before patchingPatchTST · 7 datasetsMACs: 77.74% to 93.03%Helped
Add TimeBase basis extraction before patchingPatchTST · 7 datasetsparameters: 56.95% to 91.43%Helped
Vary orthogonal loss weight λorth (ablation)TimeBase · ETTh1 and ETTh2MSEMixed
Vary orthogonal loss weight λorth (ablation)TimeBase · Traffic and ElectricityMSENo clear effect
Increase basis count from too few components (e.g., R = 2) (ablation)TimeBase · Traffic and ElectricityMSEHelped

Surprising findings

Limitations

Experimental setup

Datasets: ETTh1 ETTh2 ETTm1 ETTm2 Weather Electricity Traffic Solar Wind METR-LA Exchange ZafNoo

Benchmarks: ETTh1 ETTh2 ETTm1 ETTm2 Weather Electricity Traffic Solar Wind METR-LA Exchange ZafNoo

Metrics: MSE MAE parameters MACs max memory epoch time CPU inference time

Baselines: TimeMixer iTransformer PatchTST DLinear TimesNet FEDformer Autoformer Informer FITS SparseTSF

Builds on: DLinear SparseTSF PatchTST Channel Independence

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