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Main Authors: Takagi, Hirohane, Minegishi, Gouki, Kizawa, Shota, Sukeda, Issey, Yanaka, Hitomi
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.04053
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author Takagi, Hirohane
Minegishi, Gouki
Kizawa, Shota
Sukeda, Issey
Yanaka, Hitomi
author_facet Takagi, Hirohane
Minegishi, Gouki
Kizawa, Shota
Sukeda, Issey
Yanaka, Hitomi
contents Although behavioral studies have documented numerical reasoning errors in large language models (LLMs), the underlying representational mechanisms remain unclear. We hypothesize that numerical attributes occupy shared latent subspaces and investigate two questions:(1) How do LLMs internally integrate multiple numerical attributes of a single entity? (2)How does irrelevant numerical context perturb these representations and their downstream outputs? To address these questions, we combine linear probing with partial correlation analysis and prompt-based vulnerability tests across models of varying sizes. Our results show that LLMs encode real-world numerical correlations but tend to systematically amplify them. Moreover, irrelevant context induces consistent shifts in magnitude representations, with downstream effects that vary by model size. These findings reveal a vulnerability in LLM decision-making and lay the groundwork for fairer, representation-aware control under multi-attribute entanglement.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04053
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Interpreting Multi-Attribute Confounding through Numerical Attributes in Large Language Models
Takagi, Hirohane
Minegishi, Gouki
Kizawa, Shota
Sukeda, Issey
Yanaka, Hitomi
Artificial Intelligence
Although behavioral studies have documented numerical reasoning errors in large language models (LLMs), the underlying representational mechanisms remain unclear. We hypothesize that numerical attributes occupy shared latent subspaces and investigate two questions:(1) How do LLMs internally integrate multiple numerical attributes of a single entity? (2)How does irrelevant numerical context perturb these representations and their downstream outputs? To address these questions, we combine linear probing with partial correlation analysis and prompt-based vulnerability tests across models of varying sizes. Our results show that LLMs encode real-world numerical correlations but tend to systematically amplify them. Moreover, irrelevant context induces consistent shifts in magnitude representations, with downstream effects that vary by model size. These findings reveal a vulnerability in LLM decision-making and lay the groundwork for fairer, representation-aware control under multi-attribute entanglement.
title Interpreting Multi-Attribute Confounding through Numerical Attributes in Large Language Models
topic Artificial Intelligence
url https://arxiv.org/abs/2511.04053