Research map / Time series / Long-term forecasting
Entropy Guided Dynamic Patch Segmentation for Time Series Transformers
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Proposes EntroPE, which places patch boundaries in time series at peaks of conditional entropy from a frozen tiny causal transformer over quantized values, and feeds variable-length patches into a PatchTST-style transformer with cross-attention patch encoding.
Problem
Fixed-length, temporally agnostic patching in time series transformers splits natural transitions across patch boundaries and causes train-inference mismatch in patch configurations.
Approach
Use per-timestep conditional entropy from a frozen ~10k-parameter causal transformer trained on quantized series to place patch boundaries at high-uncertainty points (sample-adaptive quantile thresholds), then encode variable-length patches with max pooling plus within-patch cross-attention and a fusion decoder.
Key results
- Forecasting: EntroPE reports best MSE on ETTh1 (0.416 vs 0.427 for TimeMosaic) and ETTh2 (0.366), and on Weather (0.242), averaged over horizons 96-720 with input length 96.
- Classification: average accuracy 77.13% over 10 UEA datasets, versus 76.03% for TSLANet and 71.14% for PatchTST.
- Anomaly detection: average F1 87.72% versus 87.54% for TSLANet; EntroPE is not best on SMD, SMAP, or PSM.
Surprising findings
- On Electricity, CALF and iTransformer outperform EntroPE (0.182 MSE for EntroPE vs 0.177 for CALF), so the method does not win everywhere.
- A single-token (patch length 1) static configuration remains competitive with dynamic patching in the ablation.
Limitations
- Entropy model is quantized and channel-independent; quantization range and vocabulary size choices affect boundaries.
- Gains are modest and not uniform; EntroPE underperforms baselines on Electricity and several anomaly datasets.
- Claims of 500-1000x fewer parameters compare against different baseline scales and reported efficiency is only shown on ETTm1.
Experimental setup
Datasets: ETTh1 ETTh2 ETTm1 ETTm2 Weather Electricity 10 UEA multivariate classification datasets SMD MSL SMAP SWaT PSM
Benchmarks: ETTh1 ETTh2 ETTm1 ETTm2 Weather Electricity UEA 10 datasets SMD MSL SMAP SWaT PSM
Metrics: MSE MAE accuracy F1
Baselines: TimeMosaic iTransformer PatchTST FEDformer Autoformer TimesNet TSLANet TimeMixer HDMixer DLinear Time-FFM TimeBase
Builds on: PatchTST Byte Latent Transformer Perceiver Chronos GPT-2
Closest papers by meaning
- DeformableTST: Transformer for Time Series Forecasting without Over-reliance on Patching (NeurIPS 2024 · similarity 0.87)
- TimeDART: A Diffusion Autoregressive Transformer for Self-Supervised Time Series Representation (ICML 2025 · similarity 0.87)
- Multi-Patch Prediction: Adapting Language Models for Time Series Representation Learning (ICML 2024 · similarity 0.86)
- Learning Pattern-Specific Experts for Time Series Forecasting Under Patch-level Distribution Shift (NeurIPS 2025 · similarity 0.86)
- Unlocking the Power of Patch: Patch-Based MLP for Long-Term Time Series Forecasting (AAAI 2025 · similarity 0.86)
- Learning to Embed Time Series Patches Independently (ICLR 2024 · similarity 0.86)
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