Mixture Prototype Flow Matching for Open-Set Supervised Anomaly Detection

• URL: http://arxiv.org/abs/2605.02438v2
• Date: Wed, 13 May 2026 14:58:27 GMT
• Title: Mixture Prototype Flow Matching for Open-Set Supervised Anomaly Detection
• Abstract summary: Open-set supervised anomaly detection (OSAD) aims to identify unseen anomalies using limited anomalous supervision.<n>We propose a framework that learns a continuous transformation from normal feature distributions to a structured Gaussian mixture prototype space.<n>MPFM achieves state-of-the-art performance across diverse benchmarks under both single- and multi-anomaly settings.
• Score: 41.96735569500412
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Open-set supervised anomaly detection (OSAD) aims to identify unseen anomalies using limited anomalous supervision. However, existing prototype-based methods typically model normal data via a unimodal Gaussian prior, failing to capture inherent multi-modality and resulting in blurred decision boundaries. To address this, we propose Mixture Prototype Flow Matching (MPFM), a framework that learns a continuous transformation from normal feature distributions to a structured Gaussian mixture prototype space. Departing from traditional flow-based approaches that rely on a single velocity vector, MPFM explicitly models the velocity field as a Gaussian mixture prior where each component corresponds to a distinct normal class. This design facilitates mode-aware and semantically coherent distribution transport. Furthermore, we introduce a Mutual Information Maximization Regularizer (MIMR) to prevent prototype collapse and maximize normal-anomaly separability. Extensive experiments demonstrate that MPFM achieves state-of-the-art performance across diverse benchmarks under both single- and multi-anomaly settings.

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