Spooky effect in optimal OSPA estimation and how GOSPA solves it
Abstract
In this paper, we show the spooky effect at a distance that arises in optimal estimation of multiple targets with the optimal sub-pattern assignment (OSPA) metric. This effect refers to the fact that if we have several independent potential targets at distant locations, a change in the probability of existence of one of them can completely change the optimal estimation of the rest of the potential targets. As opposed to OSPA, the generalised OSPA (GOSPA) metric ($\alpha=2$) penalises localisation errors for properly detected targets, false targets and missed targets. As a consequence, optimal GOSPA estimation aims to lower the number of false and missed targets, as well as the localisation error for properly detected targets, and avoids the spooky effect.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2019
- DOI:
- 10.48550/arXiv.1908.08815
- arXiv:
- arXiv:1908.08815
- Bibcode:
- 2019arXiv190808815G
- Keywords:
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- Electrical Engineering and Systems Science - Signal Processing;
- Computer Science - Computer Vision and Pattern Recognition;
- Statistics - Machine Learning
- E-Print:
- This paper received the third best paper award at the 22nd International Conference on Information Fusion, Ottawa, Canada, 2019. Matlab code of the GOSPA metric can be found in https://github.com/abusajana/GOSPA . Additional information on MTT can be found in the online course https://www.youtube.com/channel/UCa2-fpj6AV8T6JK1uTRuFpw