Detecting Outliers in Data with Correlated Measures
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Abstract (arXiv)
Advances in sensor technology have enabled the collection of large-scale datasets. Such datasets can be extremely noisy and often contain a significant amount of outliers that result from sensor malfunction or human operation faults. In order to utilize such data for real-world applications, it is critical to detect outliers so that models built from these datasets will not be skewed by outliers. In this paper, we propose a new outlier detection method that utilizes the correlations in the data (e.g., taxi trip distance vs. trip time). Different from existing outlier detection methods, we build a robust regression model that explicitly models the outliers and detects outliers simultaneously with the model fitting. We validate our approach on real-world datasets against methods specifically designed for each dataset as well as the state of the art outlier detectors. Our outlier detection method achieves better performances, demonstrating the robustness and generality of our method. Last, we report interesting case studies on some outliers that result from atypical events.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). First posted on arXiv 26 Aug 2018.
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Citing papers per year: 2021: 1; 2022: 0; 2023: 2; 2024: 0; 2025: 1.
4 papers.
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- 2025Dealing with Uncertainty in Contextual Anomaly Detectioncited by 0
- 2025Dealing with Uncertainty in Contextual Anomaly Detection6 Jul 2025
- 2023Outlier Detection Using Generative Models with Theoretical Performance Guarantees16 Oct 2023
- 2023Explainable Contextual Anomaly Detection using Quantile Regression Forests22 Feb 2023
- 2021Hidden Backdoors in Human-Centric Language Models1 May 2021