Optimal Transport Based and Softplus Loss Functions for Anomaly Detection

Anomaly segmentation for urban-driving scenes has gained increasing attention in recent years due to safety concerns in autonomous driving. The ability to accurately detect and segment anomalous objects is critical to ensure the safety of autonomous driving systems in real-world environments. In this paper, we propose two key innovative techniques to address this challenge: (i) introducing a novel inlier training loss derived from the optimal transport, which enhances the ability to identify pixels from inlier classes; and (ii) applying the softplus loss instead of the hinge loss, as the former provides a faster convergence rate and better anomaly segmentation performance. Our approach demonstrates state-of-the-art results, evaluated by the area under precision-recall curve (AuPRC), on the road anomaly and SMIYC (obstacle tracking) datasets, thereby pushing the boundaries of anomaly detection in urban-driving scenarios.

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Publication Details

Published
2025-05-25
DOI
https://doi.org/10.1109/iscas56072.2025.11043178
Primary Topic
Fault Detection and Control Systems
Type
article
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article

Optimal Transport Based and Softplus Loss Functions for Anomaly Detection

Jian–Jiun Ding, Kailin Hu
Fault Detection and Control Systems
article

Optimal Transport Based and Softplus Loss Functions for Anomaly Detection

Jian–Jiun Ding, Kailin Hu
article en

Abstract

Anomaly segmentation for urban-driving scenes has gained increasing attention in recent years due to safety concerns in autonomous driving. The ability to accurately detect and segment anomalous objects is critical to ensure the safety of autonomous driving systems in real-world environments. In this paper, we propose two key innovative techniques to address this challenge: (i) introducing a novel inlier training loss derived from the optimal transport, which enhances the ability to identify pixels from inlier classes; and (ii) applying the softplus loss instead of the hinge loss, as the former provides a faster convergence rate and better anomaly segmentation performance. Our approach demonstrates state-of-the-art results, evaluated by the area under precision-recall curve (AuPRC), on the road anomaly and SMIYC (obstacle tracking) datasets, thereby pushing the boundaries of anomaly detection in urban-driving scenarios.

National Taiwan University (TW)
Openalex Percentile: Top 83%
Fault Detection and Control Systems
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