Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
DutyTTE: Deciphering Uncertainty in Origin-Destination Travel Time Estimation
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Proposes DutyTTE, which uses policy-gradient deep RL (SCST with DTW/LCS rewards) to improve OD path prediction and a mixture-of-experts uncertainty module with MIS loss to output travel-time confidence intervals.
Problem
Quantifying origin-destination travel time uncertainty requires predicting a path matching the ground truth and modeling segment-level travel time uncertainty under varying conditions; existing autoregressive path prediction suffers error accumulation.
Approach
Optimize path generation with a sequence-level reinforcement objective (DTW/LCS-based reward with self-critical baseline) instead of per-step likelihood, and use a noisy top-k mixture-of-experts over segment travel-time distributions to capture context-dependent uncertainty, supervised by mean interval score loss.
Key results
- On Chengdu, DutyTTE reports RMSE 278.22 s, MAE 195.70 s and MAPE 23.55%, versus best baseline T-WDR-MIS at 306.89 s / 221.52 s / 27.92%.
- Uncertainty PICP reaches 91.02% (Chengdu) and 91.67% (Xi'an), above baselines around 84-85% for T-WDR-MIS, at 90% target confidence.
- Path prediction LCS improves to 14.52 (Chengdu) and 14.64 (Xi'an) versus GDP's 13.51 and 13.91.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use DutyTTE instead of T-WDR-MIS | Travel time uncertainty quantification · Chengdu | PICP (%): 84.57 -> 91.02 | Helped |
| Use DutyTTE instead of T-WDR-MIS | Travel time uncertainty quantification · Xi'an | PICP (%): 84.93 -> 91.67 | Helped |
| Use DutyTTE instead of T-WDR-MIS | Travel time uncertainty quantification · Chengdu | IW (s): 829.39 -> 763.65 | Helped |
| Use DutyTTE instead of T-WDR-MIS | Travel time uncertainty quantification · Xi'an | IW (s): 840.28 -> 774.83 | Helped |
| Use DutyTTE instead of T-WDR | Travel time estimation · Chengdu | MAPE (%): 27.92 -> 23.55 | Helped |
| Use DutyTTE instead of T-WDR | Travel time estimation · Xi'an | MAPE (%): 26.81 -> 22.95 | Helped |
| Use DutyTTE instead of GDP | Path prediction · Xi'an | LCS: 13.91 -> 14.64 | Helped |
| Use DutyTTE instead of GDP | Path prediction · Xi'an | DTW: 0.024 -> 0.021 | Helped |
| add MoE-guided uncertainty quantification (ablation) | DutyTTE · Chengdu | PICP: 88.63 -> 91.02 | Helped |
| add MoE-guided uncertainty quantification (ablation) | DutyTTE · Chengdu | IW: 781.52 -> 763.65 | Helped |
| add policy loss to path prediction (ablation) | DutyTTE · Chengdu | RMSE: 302.93 -> 278.22 | Helped |
| add policy loss to path prediction (ablation) | DutyTTE · Chengdu | MAPE: 27.28 -> 23.55 | Helped |
Limitations
- Efficiency is comparable to a transformer baseline but slower than simple DA/MWSL methods during training; DRL training adds cost.
- Evaluated only on two taxi datasets from a single provider (Didi) in two Chinese cities.
Experimental setup
Datasets: Didi Chengdu taxi trajectories Didi Xi'an taxi trajectories
Benchmarks: Didi Chengdu Didi Xi'an
Metrics: RMSE MAE MAPE PICP IW LCS DTW
Baselines: T-WDR-MIS MWSL-TTE DeepOD-MIS DOT-dropout DOT-MIS TEMP GBDT ST-NN Dijkstra's algorithm NMLR Key Segment Transformer
Builds on: Self Critical Sequence Training Mean Interval Score loss wide-deep-recurrent Node2Vec noisy top-k gating mixture of experts
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