Investigating the Interplay between Contextual and Parametric Chain-of-Thought Faithfulness under Optimization

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Auteurs principaux: Sun, Jingyi, Wang, Qianli, Atanasova, Pepa, Feldhus, Nils, Augenstein, Isabelle
Format: Preprint
Publié: 2026
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author Sun, Jingyi
Wang, Qianli
Atanasova, Pepa
Feldhus, Nils
Augenstein, Isabelle
author_facet Sun, Jingyi
Wang, Qianli
Atanasova, Pepa
Feldhus, Nils
Augenstein, Isabelle
contents Chain-of-Thought (CoT) faithfulness, i.e., whether CoTs genuinely reflect large language models' (LLM) underlying behavior, is typically evaluated under two disjoint paradigms: contextual faithfulness, measured by perturbing the input or CoT trace, and parametric faithfulness, assessed by intervening on a model's parametric knowledge. Yet prior work compares them only descriptively. We fill this gap by proposing FaithMate, a unified preference-alignment interface for optimizing models towards either faithfulness paradigm. It enables us to investigate the interplay between the two paradigms, examining whether and to what extent faithfulness gains generalize within and across paradigms. Across three models, two datasets, and six faithfulness metrics, we find that the two paradigms are positively coupled, yet asymmetric: optimizing towards parametric faithfulness yields consistent gains across both paradigms, whereas the contextual counterpart delivers more variable gains. Within the contextual paradigm, faithfulness gains on one metric do not consistently transfer to others, implying that existing contextual metrics capture disjoint facets of faithfulness and exposing inherent trade-offs. These findings imply that CoT faithfulness is not a monolithic objective and therefore requires multifaceted optimization and evaluation.
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id arxiv_https___arxiv_org_abs_2605_24960
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Investigating the Interplay between Contextual and Parametric Chain-of-Thought Faithfulness under Optimization
Sun, Jingyi
Wang, Qianli
Atanasova, Pepa
Feldhus, Nils
Augenstein, Isabelle
Computation and Language
Artificial Intelligence
Machine Learning
Chain-of-Thought (CoT) faithfulness, i.e., whether CoTs genuinely reflect large language models' (LLM) underlying behavior, is typically evaluated under two disjoint paradigms: contextual faithfulness, measured by perturbing the input or CoT trace, and parametric faithfulness, assessed by intervening on a model's parametric knowledge. Yet prior work compares them only descriptively. We fill this gap by proposing FaithMate, a unified preference-alignment interface for optimizing models towards either faithfulness paradigm. It enables us to investigate the interplay between the two paradigms, examining whether and to what extent faithfulness gains generalize within and across paradigms. Across three models, two datasets, and six faithfulness metrics, we find that the two paradigms are positively coupled, yet asymmetric: optimizing towards parametric faithfulness yields consistent gains across both paradigms, whereas the contextual counterpart delivers more variable gains. Within the contextual paradigm, faithfulness gains on one metric do not consistently transfer to others, implying that existing contextual metrics capture disjoint facets of faithfulness and exposing inherent trade-offs. These findings imply that CoT faithfulness is not a monolithic objective and therefore requires multifaceted optimization and evaluation.
title Investigating the Interplay between Contextual and Parametric Chain-of-Thought Faithfulness under Optimization
topic Computation and Language
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2605.24960