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This research introduces a unified LLM-as-a-judge framework to rigorously measure perturbation strength, addressing a critical gap in evaluating the self-consistency of large language model explanations. By controlling for input versus chain-of-thought perturbations, the study demonstrates that fairness in consistency judgments depends on maintaining consistent perturbation types across comparisons. These findings provide essential methodological clarity for researchers developing robust evaluation metrics and testing model reliability under varying noise conditions.
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Enhancing Assessment of Self-Consistency in LLM Explanations using Perturbation Strength

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arXiv:2609.30849v1 Announce Type: new Abstract: Prior work has examined the self-consistency of LLM-generated explanations using surface-level perturbation methods. However, the strength of these perturbations is not explicitly measured and controlled. In this work, we propose an LLM-as-a-judge approach to measure perturbation strength in a unified manner across input and CoT perturbations. We then evaluate the self-consistency in explanations generated from various LLMs under controlled strength conditions, ensuring a fair comparison across perturbation types. Experiments show that our proposed LLM-based perturbation strength measure outperforms other embedding- and probability-based approaches and that input perturbations generally affect LLMs more strongly than CoT perturbations. Our work suggests that judgments about a model's self-consistency is fair only within the same perturbation type.

Abstract:Prior work has examined the self-consistency of LLM-generated explanations using surface-level perturbation methods. However, the strength of these perturbations is not explicitly measured and controlled. In this work, we propose an LLM-as-a-judge approach to measure perturbation strength in a unified manner across input and CoT perturbations. We then evaluate the self-consistency in explanations generated from various LLMs under controlled strength conditions, ensuring a fair comparison across perturbation types. Experiments show that our proposed LLM-based perturbation strength measure outperforms other embedding- and probability-based approaches and that input perturbations generally affect LLMs more strongly than CoT perturbations. Our work suggests that judgments about a model's self-consistency is fair only within the same perturbation type.

Computation and Language (cs.CL)

arXiv:2609.30849 [cs.CL]

(or arXiv:2609.30849v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2609.30849 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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