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When Rule Violations Are Rare: Chimera Training for Logical Anomaly Detection

This paper proposes a neural rule evaluator that compiles logical constraints into directed acyclic graphs and introduces chimera training to address the scarcity of real anomaly examples. Experiments on CLEVRER, OpenImages, and VidOR show improved rule-level anomaly detection AUROC, especially for compositional and relational rules.

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Key points

  • The neural rule evaluator compiles constraints into DAGs and learns feature-aware subtree MLP gates.
  • Chimera training constructs counterfactual examples by concatenating subtree features from different samples at the feature level.
  • The method outperforms baselines and provides both scalar anomaly scores and rule-level attributions.

Why it matters

This matters because the neural rule evaluator compiles constraints into DAGs and learns feature-aware subtree MLP gates.

Technical impact

May affect research directions, evaluation methods, open-source reproduction, and productization paths.

[2605.26171] When Rule Violations Are Rare: Chimera Training for Logical Anomaly Detection

[Submitted on 25 May 2026]

Title:When Rule Violations Are Rare: Chimera Training for Logical Anomaly Detection

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Abstract:Many practical anomalies are not merely rare inputs, but violations of semantic constraints: objects co-occur in structured ways, actions imply preconditions, and events satisfy temporal or relational regularities. We study anomaly detection in this setting, where constraints are given as logical rules over learned visual concepts, but real rule violations are rare or absent during training. We propose a neural rule evaluator that compiles each constraint into a directed acyclic graph and learns feature-aware subtree MLP gates for its internal logical operators. Each gate maps child features and edge-level negations to a parent representation and a rule-satisfaction probability, with intermediate supervision obtained from exact Boolean propagation over ground-truth concept labels. The key difficulty is that same-image training data often provide insufficient coverage of informative truth configurations and also allow shortcut solutions. To address this, we introduce chimera training: an operand-level counterfactual construction at the feature level. Instead of mixing input images, we concatenate subtree features from different samples; each operand keeps the hard truth label of the sample it came from, and the chimera target is obtained by applying the node's logical operator to those inherited labels. This supplies supervised logical counterexamples without requiring real anomalous images. Across CLEVRER, OpenImages, and VidOR, the resulting evaluator improves rule-level anomaly AUROC over independent-events and same-image semantic-training baselines, especially for compositional and relational rules. The method yields both scalar anomaly scores and rule-level attributions.

Comments: 9+30 pages, 4+4 figures, under review

Subjects:

Machine Learning (cs.LG)

Cite as: arXiv:2605.26171 [cs.LG]

(or arXiv:2605.26171v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2605.26171

arXiv-issued DOI via DataCite

Submission history

From: Alejandro Ascárate [view email] [v1] Mon, 25 May 2026 02:52:36 UTC (3,459 KB)

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