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This research introduces DDGAD, a novel framework for graph anomaly detection that leverages persistent disagreement between node-wise and contextual estimates as a primary signal. By reversing the standard consensus objective of Adapt-Then-Combine architectures, the method effectively isolates intrinsic deviations from incompatible neighborhood influences without immediate aggregation. Experimental results on six benchmarks demonstrate superior performance, validating the theoretical conditions derived for separating anomalies under contextual mixing.
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DDGAD: Disagreement-Driven Graph Anomaly Detection via Adapt-Then-Combine

arXiv2 min read

arXiv:2605.26446v2 Announce Type: replace Abstract: Graph anomaly detection (GAD) commonly relies on message passing to jointly encode node attributes and neighborhood context. However, once the two are mixed, an abnormal post-encoding state may reflect either an intrinsic node deviation or incompatible contextual influence, making its source ambiguous. We propose Disagreement-Driven Graph Anomaly Detection (DDGAD), which treats persistent incompatibility between node-wise and contextual estimates as anomaly evidence. Inspired by Adapt-Then-Combine (ATC), DDGAD reverses its consensus objective: Adapt produces a node-wise estimate without new same-step neighbor aggregation, while Combine forms a neighborhood-dependent contextual estimate, and their pre-consensus disagreement is accumulated across ATC steps for detection. We further characterize this signal from graph-spectral and source-response perspectives and derive sufficient conditions for anomaly--normal separation under contextual mixing. Experiments on six benchmarks show the highest average AUROC among the evaluated methods, while controlled interventions and Adapt-operator controls further support persistent disagreement as an effective detection signal.

Abstract:Graph anomaly detection (GAD) commonly relies on message passing to jointly encode node attributes and neighborhood context. However, once the two are mixed, an abnormal post-encoding state may reflect either an intrinsic node deviation or incompatible contextual influence, making its source ambiguous. We propose Disagreement-Driven Graph Anomaly Detection (DDGAD), which treats persistent incompatibility between node-wise and contextual estimates as anomaly evidence. Inspired by Adapt-Then-Combine (ATC), DDGAD reverses its consensus objective: Adapt produces a node-wise estimate without new same-step neighbor aggregation, while Combine forms a neighborhood-dependent contextual estimate, and their pre-consensus disagreement is accumulated across ATC steps for detection. We further characterize this signal from graph-spectral and source-response perspectives and derive sufficient conditions for anomaly--normal separation under contextual mixing. Experiments on six benchmarks show the highest average AUROC among the evaluated methods, while controlled interventions and Adapt-operator controls further support persistent disagreement as an effective detection signal.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

arXiv:2605.26446 [cs.LG]

(or arXiv:2605.26446v2 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2605.26446 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 241 words

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