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Not All Data are Good Labels: On the Self-supervised Labeling for Time Series Forecasting
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Proposes SCAM, a self-supervised re-labeling method that uses intermediate outputs of a reconstruction network as pseudo labels, masking overfitted label components, plus spectral norm regularization, to improve time series forecasting across backbones.
Problem
Deep time series forecasting models rely heavily on noisy, high-quality raw labels and overfit them, leaving available data under-exploited.
Approach
Co-train a simple convolution-FFN reconstruction network with the predictor, using reconstructions as pseudo labels; an adaptive mask derived from a decomposed co-objective loss replaces overfitted raw-label components, while spectral norm regularization on the first and last linear layers reduces sharpness.
Key results
- SCAM+SNR improves MSE for all four backbones on all seven main datasets; e.g., iTransformer ETTh1 MSE 0.454 to 0.431 and Traffic 0.428 to 0.411.
- On ETTh2, PatchTST MSE drops from 0.387 to 0.370 with SCAM+SNR.
- Ablation on cycleNet shows SCAM is the primary driver of gains, with SNR adding further improvement when combined.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add SCAM and SNR | PatchTST · ETTh1 | MSE: 0.469 -> 0.427 | Helped |
| Add SCAM and SNR | CycleNet · ETTh2 | MSE: 0.388 -> 0.362 | Helped |
| Add SCAM and SNR | CycleNet · ETTm1 | MSE: 0.379 -> 0.368 | Helped |
| Add SCAM and SNR | CycleNet · ETTm2 | MSE: 0.266 -> 0.262 | Helped |
| Add SCAM and SNR | PatchTST · Electricity | MSE: 0.205 -> 0.191 | Helped |
| Add SCAM and SNR | iTransformer · Traffic | MSE: 0.428 -> 0.411 | Helped |
| Add SCAM and SNR | CycleNet · Weather | MSE: 0.243 -> 0.242 | Helped |
| Add SCAM (ablation) | CycleNet · ETTh1 | MSE: 0.444 -> 0.436 | Helped |
| Add SNR (ablation) | CycleNet · ETTh1 | MSE: 0.444 -> 0.438 | Helped |
| Add SCAM (ablation) | iTransformer · ETTh1 | MSE: 0.438 -> 0.436 | Helped |
| Add SNR (ablation) | iTransformer · ETTh1 | MSE: 0.438 -> 0.443 | Hurt |
| Add SCAM and SNR (ablation) | CycleNet and iTransformer · ETT datasets and Weather | MSE | Helped |
Surprising findings
- Using SNR alone on iTransformer slightly worsens ETTh1 MSE (0.438 to 0.443), indicating it is not a standalone improvement in all cases.
Limitations
- Not verified on LLM-based or LLM-scale forecasting models due to cost.
- Binary mask may collapse too quickly on noisy real-world data.
- Reconstruction network architecture is a simple prototype not claimed to be optimal.
Experimental setup
Datasets: ETTh1 ETTh2 ETTm1 ETTm2 Electricity Traffic Weather PeMS
Benchmarks: ETTh1 ETTh2 ETTm1 ETTm2 Electricity Traffic Weather PeMS
Metrics: MSE MAE sharpness (lambda_max)
Baselines: MLP cycleNet PatchTST iTransformer
Builds on: RevIN cycleNet PatchTST iTransformer sharpness-aware minimization
Closest papers by meaning
- TimeDART: A Diffusion Autoregressive Transformer for Self-Supervised Time Series Representation (ICML 2025 · similarity 0.87)
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- Towards a General Time Series Forecasting Model with Unified Representation and Adaptive Transfer (ICML 2025 · similarity 0.85)
- Time-o1: Time-Series Forecasting Needs Transformed Label Alignment (NeurIPS 2025 · similarity 0.85)
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