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This research paper investigates the universality of linear truth directions within Large Language Model activation spaces, revealing significant dependencies on model layers, task complexity, and prompt instructions. The findings challenge previous assumptions of universal applicability by demonstrating that truth encoding varies substantially across different reasoning stages and evaluation contexts. These insights are critical for researchers aiming to build more robust and interpretable AI systems grounded in a nuanced understanding of internal model geometry.
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Testing the Limits of Truth Directions in LLMs

arXiv2 min read

arXiv:2604.03754v2 Announce Type: replace-cross Abstract: Large language models (LLMs) have been shown to encode truth of statements in their activation space along a linear truth direction. Previous studies have argued that these directions are universal in certain aspects, while more recent work has questioned this conclusion drawing on limited generalization across some settings. In this work, we identify a number of limits of truth-direction universality that have not been previously understood. We first show that truth directions are highly layer-dependent, and that a full understanding of universality requires probing at many layers in the model. We then show that truth directions depend heavily on task type, emerging in earlier layers for factual and later layers for reasoning tasks; they also vary in performance across levels of task complexity. Finally, we show that model instructions can affect truth directions; simple correctness evaluation instructions significantly affect the geometry and the generalization ability of the truth probes. Our findings indicate that universality claims for truth directions are more limited than previously known, with significant differences observable for various model layers, task difficulties, task types, and prompt templates.

Abstract:Large language models (LLMs) have been shown to encode truth of statements in their activation space along a linear truth direction. Previous studies have argued that these directions are universal in certain aspects, while more recent work has questioned this conclusion drawing on limited generalization across some settings. In this work, we identify a number of limits of truth-direction universality that have not been previously understood. We first show that truth directions are highly layer-dependent, and that a full understanding of universality requires probing at many layers in the model. We then show that truth directions depend heavily on task type, emerging in earlier layers for factual and later layers for reasoning tasks; they also vary in performance across levels of task complexity. Finally, we show that model instructions can affect truth directions; simple correctness evaluation instructions significantly affect the geometry and the generalization ability of the truth probes. Our findings indicate that universality claims for truth directions are more limited than previously known, with significant differences observable for various model layers, task difficulties, task types, and prompt templates.

Computation and Language (cs.CL); Artificial Intelligence (cs.AI)

arXiv:2604.03754 [cs.CL]

(or arXiv:2604.03754v2 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2604.03754 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 275 words

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