HEAT: Heterogeneous End-to-End Autonomous Driving via Trajectory-Guided World Models
Pith reviewed 2026-05-20 04:49 UTC · model grok-4.3
The pith
A single unified model for end-to-end autonomous driving can be trained on heterogeneous datasets from different cities, sensors, and traffic patterns while keeping strong performance in each domain.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
By organizing training around planning trajectories to capture domain-invariant representations of driving intent and by adding a world model that predicts future latent features conditioned on ego actions, a single unified model can be trained on heterogeneous datasets while maintaining strong performance within each domain.
What carries the argument
Trajectory organization that centers learning on planning trajectories together with an action-conditioned world model that predicts future latent features to enforce consistency across domains.
If this is right
- One model can handle multiple cities, sensor configurations, and traffic patterns without retraining for each new domain.
- Feature learning focuses on driving intent rather than domain-specific cues, reducing the pull toward compromised solutions.
- Future latent predictions tied to actions improve consistency and mitigate biases introduced by any single dataset.
- Scalable deployment becomes possible because the same weights deliver strong results on every benchmark tested.
Where Pith is reading between the lines
- The same trajectory-plus-world-model pattern could be applied to other multi-domain robotics tasks where environments differ in sensors or rules.
- Removing the need for per-domain retraining would lower the cost of updating fleets when new cities or vehicles are added.
- The world model component might also supply better long-horizon predictions for downstream planning modules.
Load-bearing premise
Organizing training around planning trajectories and conditioning a world model on ego actions can overcome conflicting signals from domain variations to produce invariant driving representations.
What would settle it
Train a plain end-to-end driving model on the combined nuScenes, NAVSIM, and Waymo data without trajectory organization or the world model and check whether it matches the performance of the proposed method or still requires domain-specific fine-tuning to reach comparable results.
Figures
read the original abstract
End-to-end autonomous driving has emerged as a compelling alternative to traditional modular pipelines by directly mapping raw sensor data to driving actions. While recent approaches achieve strong performance on single-domain datasets, their performance degrades significantly when trained jointly across multiple heterogeneous domains. In practice, however, autonomous systems must operate across diverse environments with heterogeneous distributions, including different cities, sensor configurations, and traffic patterns, without domain-specific retraining. This gap highlights a key challenge in multi-domain learning: domain-specific variations across heterogeneous domains introduce conflicting learning signals, driving models toward compromised solutions that are suboptimal across domains. To address this, we propose a trajectory-driven learning paradigm that organizes training around planning trajectories, enabling the model to capture domain-invariant representations of driving intent. Furthermore, we incorporate a world model that predicts future latent features conditioned on ego actions, improving feature consistency and mitigating domain-induced biases. We evaluate our approach on three benchmarks, nuScenes, NAVSIM, and the Waymo end-to-end dataset, and show substantial improvements over existing methods across all domains. Our results demonstrate that a single unified model can be trained on heterogeneous datasets while maintaining strong performance within each domain, highlighting a step toward scalable real-world deployment. We will make our code publicly available.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes HEAT, an end-to-end autonomous driving method that trains a single unified model across heterogeneous datasets (nuScenes, NAVSIM, Waymo) by reorganizing supervision around planning trajectories to extract domain-invariant driving intent and adding a world model that predicts future latent features conditioned on ego actions. The central claim is that this trajectory-guided paradigm plus world-model consistency mitigates conflicting domain-specific signals (sensors, cities, traffic rules) and yields substantial gains over baselines while preserving per-domain performance.
Significance. If the empirical results and invariance claims hold, the work addresses a practically important gap in multi-domain end-to-end driving and could support more scalable real-world deployment without per-domain retraining. The public code release is noted as a reproducibility strength.
major comments (2)
- [§4 and §3.2] §4 (Experiments) and §3.2 (Trajectory-guided paradigm): the claim that planning trajectories encode domain-invariant intent is load-bearing yet unsupported by direct evidence. No per-domain single-vs-joint ablation, no invariance metric (e.g., domain classification accuracy on frozen features), and no analysis of whether trajectory statistics (speed profiles, turning radii) differ across nuScenes vs. Waymo. Without these, observed aggregate gains could arise from increased data volume rather than conflict resolution.
- [§3.4] §3.4 (World model): the latent-feature predictor is conditioned on ego actions, but the manuscript provides no explicit regularization, adversarial alignment, or bias-mitigation term to stop domain-specific statistics from propagating through the shared backbone. This assumption is central to the “mitigating domain-induced biases” claim and requires a concrete test or ablation.
minor comments (2)
- [Abstract and §4] Abstract and §4: quantitative results (exact metrics, tables, per-domain scores) are referenced but not shown in the provided abstract; ensure the camera-ready version includes a clear results table with baselines and ablations.
- [§3] Notation: the distinction between trajectory latents and world-model latents should be clarified with explicit variable definitions or a diagram to avoid reader confusion.
Simulated Author's Rebuttal
We thank the referee for the constructive and detailed feedback. We address each major comment below and will incorporate additional experiments and analyses to strengthen the supporting evidence for our claims.
read point-by-point responses
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Referee: [§4 and §3.2] §4 (Experiments) and §3.2 (Trajectory-guided paradigm): the claim that planning trajectories encode domain-invariant intent is load-bearing yet unsupported by direct evidence. No per-domain single-vs-joint ablation, no invariance metric (e.g., domain classification accuracy on frozen features), and no analysis of whether trajectory statistics (speed profiles, turning radii) differ across nuScenes vs. Waymo. Without these, observed aggregate gains could arise from increased data volume rather than conflict resolution.
Authors: We appreciate the referee's point that direct evidence would make the invariance claim more robust. The manuscript demonstrates that the unified HEAT model outperforms prior methods on each individual benchmark (nuScenes, NAVSIM, Waymo), and these gains are obtained under joint training with the trajectory-guided objective. To address the concern about data volume versus conflict resolution, we will add a per-domain single-versus-joint training ablation in the revised version. We will also include a quantitative comparison of trajectory statistics (speed profiles and turning radii) across the three datasets and report domain-classification accuracy on frozen backbone features with and without the trajectory guidance to provide an explicit invariance metric. revision: yes
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Referee: [§3.4] §3.4 (World model): the latent-feature predictor is conditioned on ego actions, but the manuscript provides no explicit regularization, adversarial alignment, or bias-mitigation term to stop domain-specific statistics from propagating through the shared backbone. This assumption is central to the “mitigating domain-induced biases” claim and requires a concrete test or ablation.
Authors: We agree that an explicit test of bias mitigation would strengthen the argument. The world-model prediction loss is applied jointly across domains and encourages the latent features to be predictable from ego actions, which functions as an implicit consistency regularizer. Nevertheless, we will add a concrete ablation that measures domain discrepancy (e.g., via maximum mean discrepancy or a domain classifier on the latent features) with and without the world model. If the results indicate further improvement, we will also explore a lightweight adversarial alignment term in the revised manuscript. revision: yes
Circularity Check
No significant circularity in empirical multi-domain method
full rationale
The paper presents an empirical training paradigm for end-to-end autonomous driving across heterogeneous datasets (nuScenes, NAVSIM, Waymo) by reorganizing supervision around planning trajectories and adding a world model for action-conditioned latent prediction. No equations, closed-form derivations, or mathematical reductions appear in the abstract or described claims. The central result is justified by reported performance gains on external benchmarks rather than by fitting parameters that are then renamed as predictions or by load-bearing self-citations. The method is therefore self-contained against external benchmarks and does not reduce to its inputs by construction.
Axiom & Free-Parameter Ledger
Lean theorems connected to this paper
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
we propose a trajectory-driven learning paradigm that organizes training around planning trajectories, enabling the model to capture domain-invariant representations of driving intent. Furthermore, we incorporate a world model that predicts future latent features conditioned on ego actions
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IndisputableMonolith/Foundation/ArithmeticFromLogic.leanembed_injective unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
we apply K-Means to the behavior set B based on their ground-truth trajectory waypoints
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
End-to-end autonomous driving: Challenges and frontiers,
L. Chen, P. Wu, K. Chitta, B. Jaeger, A. Geiger, and H. Li, “End-to-end autonomous driving: Challenges and frontiers,”IEEE Transactions on Pattern Analysis and Machine Intelligence, 2024
work page 2024
-
[2]
D. Zhang, J. Liang, K. Guo, S. Lu, Q. Wang, R. Xiong, Z. Miao, and Y . Wang, “Carplanner: Consistent auto-regressive trajectory planning for large-scale reinforcement learning in autonomous driving,” inProceed- ings of the Computer Vision and Pattern Recognition Conference, 2025, pp. 17 239–17 248
work page 2025
-
[3]
End-to-end driving via conditional imitation learning,
F. Codevilla, M. M ¨uller, A. L ´opez, V . Koltun, and A. Dosovitskiy, “End-to-end driving via conditional imitation learning,” in2018 IEEE International Conference on Robotics and Automation (ICRA), 2018, pp. 4693–4700
work page 2018
-
[4]
Vr-drive: Viewpoint-robust end-to-end driving with feed-forward 3d gaussian splatting,
H. Cho, J.-Y . Kang, G. Lee, H. Yang, H. Park, S. Jung, and K.-J. Yoon, “Vr-drive: Viewpoint-robust end-to-end driving with feed-forward 3d gaussian splatting,”arXiv preprint arXiv:2510.23205, 2025
-
[5]
Driveworld: 4d pre-trained scene understanding via world models for autonomous driving,
C. Min, D. Zhao, L. Xiao, J. Zhao, X. Xu, Z. Zhu, L. Jin, J. Li, Y . Guo, J. Xinget al., “Driveworld: 4d pre-trained scene understanding via world models for autonomous driving,” inProceedings of the IEEE/CVF conference on computer vision and pattern recognition, 2024, pp. 15 522–15 533
work page 2024
-
[6]
Enhancing End-to-End Autonomous Driving with Latent World Model
Y . Li, L. Fan, J. He, Y . Wang, Y . Chen, Z. Zhang, and T. Tan, “Enhancing end-to-end autonomous driving with latent world model,”arXiv preprint arXiv:2406.08481, 2024
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[7]
nuscenes: A multimodal dataset for autonomous driving,
H. Caesar, V . Bankiti, A. H. Lang, S. V ora, V . E. Liong, Q. Xu, A. Krishnan, Y . Pan, G. Baldan, and O. Beijbom, “nuscenes: A multimodal dataset for autonomous driving,” inProceedings of the IEEE/CVF conference on computer vision and pattern recognition, 2020, pp. 11 621–11 631
work page 2020
-
[8]
Navsim: Data-driven non-reactive autonomous vehicle simulation and benchmarking,
D. Dauner, M. Hallgarten, T. Li, X. Weng, Z. Huang, Z. Yang, H. Li, I. Gilitschenski, B. Ivanovic, M. Pavoneet al., “Navsim: Data-driven non-reactive autonomous vehicle simulation and benchmarking,”Ad- vances in Neural Information Processing Systems, vol. 37, pp. 28 706– 28 719, 2024
work page 2024
-
[9]
NuPlan: A closed-loop ML-based planning benchmark for autonomous vehicles
H. Caesar, J. Kabzan, K. S. Tan, W. K. Fong, E. Wolff, A. Lang, L. Fletcher, O. Beijbom, and S. Omari, “nuplan: A closed-loop ml- based planning benchmark for autonomous vehicles,”arXiv preprint arXiv:2106.11810, 2021
work page internal anchor Pith review Pith/arXiv arXiv 2021
-
[10]
2025 waymo open dataset challenge: Vision- based end-to-end driving,
Waymo Research, “2025 waymo open dataset challenge: Vision- based end-to-end driving,” https://waymo.com/open/challenges/2025/ e2e-driving/, 2025, accessed: 2025-04-25
work page 2025
-
[11]
Planning-oriented autonomous driving,
Y . Hu, J. Yang, L. Chen, K. Li, C. Sima, X. Zhu, S. Chai, S. Du, T. Lin, W. Wanget al., “Planning-oriented autonomous driving,” inProceedings of the IEEE/CVF conference on computer vision and pattern recognition, 2023, pp. 17 853–17 862
work page 2023
-
[12]
Hidden biases of end-to-end driving models,
B. Jaeger, K. Chitta, and A. Geiger, “Hidden biases of end-to-end driving models,” inProceedings of the IEEE/CVF International Conference on Computer Vision, 2023, pp. 8240–8249
work page 2023
-
[13]
St-p3: End-to-end vision-based autonomous driving via spatial-temporal feature learning,
S. Hu, L. Chen, P. Wu, H. Li, J. Yan, and D. Tao, “St-p3: End-to-end vision-based autonomous driving via spatial-temporal feature learning,” inEuropean Conference on Computer Vision. Springer, 2022, pp. 533– 549
work page 2022
-
[14]
Para- drive: Parallelized architecture for real-time autonomous driving,
X. Weng, B. Ivanovic, Y . Wang, Y . Wang, and M. Pavone, “Para- drive: Parallelized architecture for real-time autonomous driving,” in Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2024, pp. 15 449–15 458
work page 2024
-
[15]
Vad: Vectorized scene representation for efficient autonomous driving,
B. Jiang, S. Chen, Q. Xu, B. Liao, J. Chen, H. Zhou, Q. Zhang, W. Liu, C. Huang, and X. Wang, “Vad: Vectorized scene representation for efficient autonomous driving,” inProceedings of the IEEE/CVF International Conference on Computer Vision, 2023, pp. 8340–8350
work page 2023
-
[16]
Vadv2: End-to-end autonomous driving via probabilistic planning,
B. Jiang, S. Chen, H. Gao, B. Liao, Q. Zhang, W. Liu, and X. Wang, “Vadv2: End-to-end autonomous driving via probabilistic planning,” in The F ourteenth International Conference on Learning Representations, 2026
work page 2026
-
[17]
Y . Zheng, P. Yang, Z. Xing, Q. Zhang, Y . Zheng, Y . Gao, P. Li, T. Zhang, Z. Xia, P. Jiaet al., “World4drive: End-to-end autonomous driving via intention-aware physical latent world model,”arXiv preprint arXiv:2507.00603, 2025
-
[18]
Rethinking the Open-Loop Evaluation of End-to-End Autonomous Driving in nuScenes
J.-T. Zhai, Z. Feng, J. Du, Y . Mao, J.-J. Liu, Z. Tan, Y . Zhang, X. Ye, and J. Wang, “Rethinking the open-loop evaluation of end-to- end autonomous driving in nuscenes,”arXiv preprint arXiv:2305.10430, 2023
work page internal anchor Pith review Pith/arXiv arXiv 2023
-
[19]
Is ego status all you need for open-loop end-to-end autonomous driving?
Z. Li, Z. Yu, S. Lan, J. Li, J. Kautz, T. Lu, and J. M. Alvarez, “Is ego status all you need for open-loop end-to-end autonomous driving?” inProceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2024, pp. 14 864–14 873
work page 2024
-
[20]
Multi-modal fusion transformer for end-to-end autonomous driving,
A. Prakash, K. Chitta, and A. Geiger, “Multi-modal fusion transformer for end-to-end autonomous driving,” inProceedings of the IEEE/CVF conference on computer vision and pattern recognition, 2021, pp. 7077– 7087
work page 2021
-
[21]
P. Wu, X. Jia, L. Chen, J. Yan, H. Li, and Y . Qiao, “Trajectory-guided control prediction for end-to-end autonomous driving: A simple yet strong baseline,”Advances in Neural Information Processing Systems, vol. 35, pp. 6119–6132, 2022
work page 2022
-
[22]
Y . Wang, J. He, L. Fan, H. Li, Y . Chen, and Z. Zhang, “Driving into the future: Multiview visual forecasting and planning with world model for autonomous driving,” inProceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2024, pp. 14 749–14 759
work page 2024
-
[23]
W. Tong, C. Sima, T. Wang, L. Chen, S. Wu, H. Deng, Y . Gu, L. Lu, P. Luo, D. Linet al., “Scene as occupancy,” inProceedings of the IEEE/CVF International Conference on Computer Vision, 2023, pp. 8406–8415
work page 2023
- [24]
-
[25]
Navigation-guided sparse scene representation for end-to-end autonomous driving,
P. Li and D. Cui, “Navigation-guided sparse scene representation for end-to-end autonomous driving,” inThe Thirteenth International Con- ference on Learning Representations
-
[26]
M. Hassan, S. Stapf, A. Rahimi, P. Rezende, Y . Haghighi, D. Br ¨uggemann, I. Katircioglu, L. Zhang, X. Chen, S. Sahaet al., “Gem: A generalizable ego-vision multimodal world model for fine- grained ego-motion, object dynamics, and scene composition control,” inProceedings of the Computer Vision and Pattern Recognition Confer- ence, 2025, pp. 22 404–22 415
work page 2025
-
[27]
Neural volumetric world models for autonomous driving,
Z. Huang, J. Zhang, and E. Ohn-Bar, “Neural volumetric world models for autonomous driving,” inEuropean Conference on Computer Vision. Springer, 2024, pp. 195–213
work page 2024
-
[28]
Y . Chen, Y . Wang, and Z. Zhang, “Drivinggpt: Unifying driving world modeling and planning with multi-modal autoregressive transformers,” arXiv preprint arXiv:2412.18607, 2024
-
[29]
A. Vaswani, N. Shazeer, N. Parmar, J. Uszkoreit, L. Jones, A. N. Gomez, Ł. Kaiser, and I. Polosukhin, “Attention is all you need,”Advances in neural information processing systems, vol. 30, 2017
work page 2017
-
[30]
Sparsedrive: End-to-end autonomous driving via sparse scene representation,
W. Sun, X. Lin, Y . Shi, C. Zhang, H. Wu, and S. Zheng, “Sparsedrive: End-to-end autonomous driving via sparse scene representation,” in2025 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2025, pp. 8795–8801
work page 2025
-
[31]
Diffusiondrive: Truncated diffusion model for end-to-end autonomous driving,
B. Liao, S. Chen, H. Yin, B. Jiang, C. Wang, S. Yan, X. Zhang, X. Li, Y . Zhang, Q. Zhanget al., “Diffusiondrive: Truncated diffusion model for end-to-end autonomous driving,”arXiv preprint arXiv:2411.15139, 2024
-
[32]
Hydra-MDP: End-to-end Multimodal Planning with Multi-target Hydra-Distillation
Z. Li, K. Li, S. Wang, S. Lan, Z. Yu, Y . Ji, Z. Li, Z. Zhu, J. Kautz, Z. Wu et al., “Hydra-mdp: End-to-end multimodal planning with multi-target hydra-distillation,”arXiv preprint arXiv:2406.06978, 2024. JOURNAL OF LATEX CLASS FILES, VOL. 14, NO. 8, AUGUST 2021 9
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[33]
Swin transformer: Hierarchical vision transformer using shifted windows,
Z. Liu, Y . Lin, Y . Cao, H. Hu, Y . Wei, Z. Zhang, S. Lin, and B. Guo, “Swin transformer: Hierarchical vision transformer using shifted windows,” inProceedings of the IEEE/CVF international conference on computer vision, 2021, pp. 10 012–10 022
work page 2021
-
[34]
SGDR: Stochastic Gradient Descent with Warm Restarts
I. Loshchilov and F. Hutter, “Sgdr: Stochastic gradient descent with warm restarts,”arXiv preprint arXiv:1608.03983, 2016
work page internal anchor Pith review Pith/arXiv arXiv 2016
-
[35]
Decoupled Weight Decay Regularization
——, “Decoupled weight decay regularization,”arXiv preprint arXiv:1711.05101, 2017
work page internal anchor Pith review Pith/arXiv arXiv 2017
-
[36]
UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction
L. McInnes, J. Healy, and J. Melville, “Umap: Uniform manifold approximation and projection for dimension reduction,”arXiv preprint arXiv:1802.03426, 2018
work page internal anchor Pith review Pith/arXiv arXiv 2018
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