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This research advances online goal recognition by integrating path signatures from rough path theory, offering a compact and expressive method to encode continuous trajectories without relying on custom state-space representations. The approach demonstrates superior predictive accuracy and planning efficiency compared to existing techniques while maintaining competitive offline performance.
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Online Goal Recognition using Path Signature and Dynamic Time Warping

arXiv2 min read

arXiv:2605.07736v2 Announce Type: replace Abstract: Online goal recognition in continuous domains poses two central challenges: efficiently encoding large trajectories and effectively comparing them. Recent work addresses these challenges by using custom state-space representations and metrics to compare observations against hypotheses. However, these approaches often overlook well-established encoding techniques used in other domains that offer substantial advantages. This paper introduces a novel method for online goal recognition that leverages path signatures, a compact, expressive representation of rough path theory that efficiently captures key semantic features of trajectories, enabling more meaningful comparisons between them. Experiments show that our method consistently outperforms the state of the art in predictive accuracy and online planning efficiency, while remaining competitive offline.

Abstract:Online goal recognition in continuous domains poses two central challenges: efficiently encoding large trajectories and effectively comparing them. Recent work addresses these challenges by using custom state-space representations and metrics to compare observations against hypotheses. However, these approaches often overlook well-established encoding techniques used in other domains that offer substantial advantages. This paper introduces a novel method for online goal recognition that leverages path signatures, a compact, expressive representation of rough path theory that efficiently captures key semantic features of trajectories, enabling more meaningful comparisons between them. Experiments show that our method consistently outperforms the state of the art in predictive accuracy and online planning efficiency, while remaining competitive offline.

Artificial Intelligence (cs.AI)

arXiv:2605.07736 [cs.AI]

(or arXiv:2605.07736v2 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2605.07736 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 202 words

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