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Disagreement Entropy in Multi-LLM Knowledge Graph Verification: When Ensemble Conflict Signals Epistemic Uncertainty

Anatoliy Kremenchutskiy

Zenodo (CERN European Organization for Nuclear Research)Mar 15, 2026
Abstract

Knowledge graph (KG) verification increasingly relies on large language models (LLMs) as automated evaluators, yet single-model pipelines inherit systematic biases that compromise reliability. In an earlier experimental phase on the same infrastructure, we identified a cascade of three such biases—Verbosity Bias, Acquiescence Bias, and Negation Asymmetry—in single-model KG verification. This paper extends that work with a new ensemble-based phase (N = 1,125) by introducing Disagreement Entropy (DE), an information-theoretic metric that quantifies inter-model divergence in multi-LLM verification ensembles, and by presenting a self-contained account of both the bias-cascade findings and the ensemble analysis. Evaluating 1,125 Wikidata-sourced triples across three locally deployed models (Qwen2.5:7b, Gemma2:9b, Llama3.1:8b) on the OmniCore v17 knowledge graph system, we report three principal findings. First, the empirical population of the three structurally determined DE zones shows 54.8% of triples at consensus (DE = 0), 44.1% at majority split (DE ≈ 0.58), and 1.2% at full disagreement (DE = 1.0). Second, we measure a 28.4 percentage-point (pp) Acquiescence Gradient (from 57.8% to 86.2%) across models evaluated on identical triples, providing a controlled quantitative characterisation of model-specific response tendencies. Third, all 13 triples reaching maximum entropy (DE = 1.0) resulted in SPLIT verdicts with zero achievable consensus, suggesting that DE = 1.0 serves as a candidate heuristic for flagging content where automated consensus fails and human review is warranted. We do not assume access to ground-truth labels; therefore, we characterise disagreement patterns but leave the link between DE and factual error rates to future work. These results suggest that ensemble disagreement may provide a promising diagnostic signal for identifying potentially unreliable KG content and prioritising human-in-the-loop review. All experiments were conducted on the PARAM BILIM supercomputer cluster at IKCEICT, L.N. Gumilyov Eurasian National University. Keywords: knowledge graph verification, LLM ensemble, disagreement entropy, acquiescence bias, multi-model consensus, epistemic uncertainty, evaluation bias cascade, OmniCore

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