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GoalFlow: Goal-Driven Flow Matching for Multimodal Trajectories Generation in End-to-End Autonomous Driving
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Proposes GoalFlow, an end-to-end driving planner that selects a goal point from a dense vocabulary and uses rectified flow conditioned on it to generate multimodal trajectories, reaching PDMS 90.3 on NavSim.
Problem
Multimodal trajectory generation for end-to-end autonomous driving suffers from high trajectory divergence in diffusion models and low-quality trajectories when pre-defined guidance (goal points or commands) deviates from ground truth.
Approach
Decompose planning into goal point construction (scoring a dense goal-point vocabulary for distance-to-GT and drivable-area compliance using shadow vehicles, without HD maps) and goal-conditioned rectified flow generation, plus a trajectory scorer that selects among candidates using goal-point distance and progress, with shadow trajectories as a fallback.
Key results
- GoalFlow reaches PDMS 90.3 on NavSim test, above Transfuser (84.0) and PARA-Drive (84.0), with DAC 98.3.
- Using the ground-truth endpoint as goal point yields PDMS 92.1, close to the human score of 94.8.
- A single denoising step gives PDMS 88.9 versus 90.3 with 5 steps, while cutting denoising time to about 6% of the 20-step cost.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use GoalFlow instead of PARA-Drive | Navsim autonomous driving · Navsim Test | SPDM: 84.0 -> 90.3 | Helped |
| add a distance score map to guide rectified flow (ablation) | GoalFlow M0 · Navsim Test | SPDM: 85.6 -> 88.5 | Helped |
| add a DAC score map (ablation) | GoalFlow M1 · Navsim Test | SPDM: 88.5 -> 89.4 | Helped |
| add the trajectory scorer (ablation) | GoalFlow M2 · Navsim Test | SPDM: 89.4 -> 90.3 | Helped |
| reduce inference steps from 20 to 1 (ablation) | GoalFlow · Navsim Test | SPDM: 89.9 -> 88.9 | Hurt |
| set initial noise standard deviation σ to 0.2 instead of 0.1 (ablation) | GoalFlow · Navsim Test | SPDM: 90.3 -> 49.0 | Hurt |
| set initial noise standard deviation σ to 0.3 instead of 0.1 (ablation) | GoalFlow · Navsim Test | SPDM: 90.3 -> 18.8 | Hurt |
| increase Transformer hidden dimension from 256 to 512 (ablation) | GoalFlow M2 · Navsim Test | SPDM: 86.5 -> 88.1 | Helped |
| increase Transformer hidden dimension from 512 to 1024 (ablation) | GoalFlow M2 · Navsim Test | SPDM: 88.1 -> 89.4 | Helped |
| replace V2-99 image backbone with ResNet-34 (ablation) | GoalFlow M2 · Navsim Test | SPDM: 86.5 -> 85.7 | Hurt |
Surprising findings
- Flow matching with a single inference step remains close to the best multi-step result, only about 1.4 PDMS points lower.
Limitations
- Goal point errors can misguide trajectories, requiring shadow-trajectory fallback.
- Relies on the goal-point vocabulary built from training endpoints; ablation shows sensitivity to initial noise sigma above 0.1.
Experimental setup
Datasets: OpenScene NavSim
Benchmarks: NavSim
Metrics: PDM score no at-fault collisions drivable area compliance time to collision ego progress comfort L2
Baselines: Constant Velocity Ego Status MLP PDM-Closed Transfuser LTF UniAD PARA-Drive
Builds on: rectified flow Transfuser VADv2 classifier-free guidance Diffusion-ES
Closest papers by meaning
- ChainFlow-VLA: Causal Flow Planning with Vision-Language Models (NeurIPS 2026 · similarity 0.88)
- Future-Aware End-to-End Driving: Bidirectional Modeling of Trajectory Planning and Scene Evolution (NeurIPS 2025 · similarity 0.87)
- Diffusion-ES: Gradient-free Planning with Diffusion for Autonomous and Instruction-guided Driving (CVPR 2024 · similarity 0.87)
- Generating Multimodal Driving Scenes via Next-Scene Prediction (CVPR 2025 · similarity 0.86)
- Flow Matching-Based Autonomous Driving Planning with Advanced Interactive Behavior Modeling (NeurIPS 2025 · similarity 0.86)
- Don't Shake the Wheel: Momentum-Aware Planning in End-to-End Autonomous Driving (CVPR 2025 · similarity 0.86)
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