Linear Spatial World Models Emerge in Large Language Models

Fuente: arXiv
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Hauptverfasser: Tehenan, Matthieu, Moya, Christian Bolivar, Long, Tenghai, Lin, Guang
Format: Preprint
Veröffentlicht: 2025
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author Tehenan, Matthieu
Moya, Christian Bolivar
Long, Tenghai
Lin, Guang
author_facet Tehenan, Matthieu
Moya, Christian Bolivar
Long, Tenghai
Lin, Guang
contents Large language models (LLMs) have demonstrated emergent abilities across diverse tasks, raising the question of whether they acquire internal world models. In this work, we investigate whether LLMs implicitly encode linear spatial world models, which we define as linear representations of physical space and object configurations. We introduce a formal framework for spatial world models and assess whether such structure emerges in contextual embeddings. Using a synthetic dataset of object positions, we train probes to decode object positions and evaluate geometric consistency of the underlying space. We further conduct causal interventions to test whether these spatial representations are functionally used by the model. Our results provide empirical evidence that LLMs encode linear spatial world models.
format Preprint
id arxiv_https___arxiv_org_abs_2506_02996
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Linear Spatial World Models Emerge in Large Language Models
Tehenan, Matthieu
Moya, Christian Bolivar
Long, Tenghai
Lin, Guang
Artificial Intelligence
Large language models (LLMs) have demonstrated emergent abilities across diverse tasks, raising the question of whether they acquire internal world models. In this work, we investigate whether LLMs implicitly encode linear spatial world models, which we define as linear representations of physical space and object configurations. We introduce a formal framework for spatial world models and assess whether such structure emerges in contextual embeddings. Using a synthetic dataset of object positions, we train probes to decode object positions and evaluate geometric consistency of the underlying space. We further conduct causal interventions to test whether these spatial representations are functionally used by the model. Our results provide empirical evidence that LLMs encode linear spatial world models.
title Linear Spatial World Models Emerge in Large Language Models
topic Artificial Intelligence
url https://arxiv.org/abs/2506.02996