Conditional anomaly detection using soft harmonic functions: An application to clinical alerting

arXiv cs.LG / 4/27/2026

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Key Points

  • The paper addresses timely detection of concerning clinical events via conditional anomaly detection, including cases where important lab tests may be omitted.
  • It proposes a new non-parametric method based on a “soft harmonic” solution to detect anomalies by estimating confidence in whether a label indicates anomalous mislabeling.
  • The approach includes regularization designed to prevent spurious detections of isolated outliers and instances near the boundary of the data distribution’s support.
  • Experiments on a real-world electronic health records dataset show the method can effectively identify unusual labels, and it is benchmarked against multiple baseline techniques.

Abstract

Timely detection of concerning events is an important problem in clinical practice. In this paper, we consider the problem of conditional anomaly detection that aims to identify data instances with an unusual response, such as the omission of an important lab test. We develop a new non-parametric approach for conditional anomaly detection based on the soft harmonic solution, with which we estimate the confidence of the label to detect anomalous mislabeling. We further regularize the solution to avoid the detection of isolated examples and examples on the boundary of the distribution support. We demonstrate the efficacy of the proposed method in detecting unusual labels on a real-world electronic health record dataset and compare it to several baseline approaches.