Papers › Conformal Anomaly Detection for Functional Data with Elastic Distance Metrics

Conformal Anomaly Detection for Functional Data with Elastic Distance Metrics

1 Apr 2025arXiv:2504.01172links table onlyarchive 2025-07-28

Jason Adams, Brandon Berman, Joshua Michalenko, J. Derek Tucker

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This paper considers the problem of outlier detection in functional data analysis focusing particularly on the more difficult case of shape outliers. We present an inductive conformal anomaly detection method based on elastic functional distance metrics. This method is evaluated and compared to similar conformal anomaly detection methods for functional data using simulation experiments. The method is also used in the analysis of two real exemplar data sets that show its utility in practical applications. The results demonstrate the efficacy of the proposed method for detecting both magnitude and shape outliers in two distinct outlier detection scenarios.

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