Trajectory Entropy: Modeling Game State Stability from Multimodality Trajectory Prediction
Journal:
arXiv
Published Date:
Jun 6, 2025
Abstract
Complex interactions among agents present a significant challenge for
autonomous driving in real-world scenarios. Recently, a promising approach has
emerged, which formulates the interactions of agents as a level-k game
framework. It effectively decouples agent policies by hierarchical game levels.
However, this framework ignores both the varying driving complexities among
agents and the dynamic changes in agent states across game levels, instead
treating them uniformly. Consequently, redundant and error-prone computations
are introduced into this framework. To tackle the issue, this paper proposes a
metric, termed as Trajectory Entropy, to reveal the game status of agents
within the level-k game framework. The key insight stems from recognizing the
inherit relationship between agent policy uncertainty and the associated
driving complexity. Specifically, Trajectory Entropy extracts statistical
signals representing uncertainty from the multimodality trajectory prediction
results of agents in the game. Then, the signal-to-noise ratio of this signal
is utilized to quantify the game status of agents. Based on the proposed
Trajectory Entropy, we refine the current level-k game framework through a
simple gating mechanism, significantly improving overall accuracy while
reducing computational costs. Our method is evaluated on the Waymo and nuPlan
datasets, in terms of trajectory prediction, open-loop and closed-loop planning
tasks. The results demonstrate the state-of-the-art performance of our method,
with precision improved by up to 19.89% for prediction and up to 16.48% for
planning.
