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ProCTI: Prototype-Refined Global Conditioning for Diffusion-Based Time Series Imputation
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Proposes ProCTI, a diffusion time-series imputation model that adds learnable prototype-bank global context (cross-attention retrieval) to FGTI-style frequency conditioning, with a latent-regime theory on when global conditioning helps.
Problem
Diffusion-based time series imputation conditions mainly on local context, leaving dataset-level global structure implicit, which hurts performance when local observations are sparse, noisy, or unrepresentative.
Approach
A learnable prototype bank queried by each partially observed window via cross-attention yields an attribute-wise regime vector that is added to the dominant-frequency conditioning branch of a frequency-aware diffusion imputer; theory via a latent-regime model characterises when this global conditioning reduces conditional entropy and denoising MSE.
Key results
- Under random missingness, ProCTI achieves the best mean MAE on all five datasets, e.g. Stock MAE 2.223 vs FGTI 3.186 and PhysioNet MAE 0.259 vs 0.362 (aggregated over missing ratios).
- The paper reports ProCTI reduces average MAE by roughly 3-30% relative to FGTI, the strongest diffusion baseline.
- Under attribute-drop missingness ProCTI is best on Gait, PhysioNet, and Beijing, while BRITS is best on Weather and Stock where cross-feature redundancy is strong.
Surprising findings
- BRITS beats ProCTI under attribute-wise missingness on Weather and Stock, which the authors attribute to strong cross-feature redundancy making global conditioning unnecessary.
- Frozen prototype bank (variant D) performs worse than the variant with the learnable bank, and injecting regime information into the high-frequency branch hurts.
Limitations
- Gains over FGTI are small on some datasets (e.g. Gait, Beijing) and several significance tests with only 5 seeds are not significant.
- Theory relies on a latent-regime model and approximations (e.g. attention approximating p(Z|O)) that are not verified directly.
- Higher GPU memory than most baselines, similar to FGTI.
Experimental setup
Datasets: PhysioNet Beijing Air Quality Weather Stock Gait
Benchmarks: PhysioNet Beijing Air Quality Weather Stock Gait
Metrics: MAE RMSE CRPS PI90 coverage PI90 width
Baselines: BRITS CSDI SCINet TIDER MTSCI Diffusion-TS iTransformer FGTI PaD-TS
Builds on: FGTI DDPM CSDI Diffusion-TS PaD-TS
Closest papers by meaning
- Discretizing Continuous Time Series for Imputation with Masked Diffusion Training (NeurIPS 2026 · similarity 0.91)
- Diffusion Transformers for Imputation: Statistical Efficiency and Uncertainty Quantification (NeurIPS 2025 · similarity 0.91)
- Rethinking the Diffusion Models for Missing Data Imputation: A Gradient Flow Perspective (NeurIPS 2024 · similarity 0.89)
- Glocal Information Bottleneck for Time Series Imputation (NeurIPS 2025 · similarity 0.88)
- LSCD: Lomb--Scargle Conditioned Diffusion for Time series Imputation (ICML 2025 · similarity 0.88)
- HyFAD: Hybrid Time-Frequency Diffusion with Frequency-Aware Embedding for Time Series Imputation (NeurIPS 2026 · similarity 0.87)
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