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This research investigates whether large language model embedding spaces accurately reflect objective physical measurements like mass, distance, and time. The study concludes that these representations are weakly modeled by physics and instead rely heavily on superficial string similarity, suggesting fundamental limitations in how current models encode real-world quantities.
Source coveringarXiv
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Embedding Models Measure in Peculiar Ways

arXiv1 min read

arXiv:2609.20821v1 Announce Type: new Abstract: Embedding spaces define notions of semantic similarity and distance. We study whether those embeddings reflect physical measurements of mass, distance, time and volume, which admit a unique, objective notion of semantic equivalence and distance. We find that physical measurement is only weakly modeled in the embedding space, and that instead quite peculiar measurement patterns can be observed. Further analysis indicates that embedding representations of physical measurements are strongly influenced by superficial string similarity, and recalibration of similarity does not substantially improve the alignment.

Abstract:Embedding spaces define notions of semantic similarity and distance. We study whether those embeddings reflect physical measurements of mass, distance, time and volume, which admit a unique, objective notion of semantic equivalence and distance. We find that physical measurement is only weakly modeled in the embedding space, and that instead quite peculiar measurement patterns can be observed. Further analysis indicates that embedding representations of physical measurements are strongly influenced by superficial string similarity, and recalibration of similarity does not substantially improve the alignment.

Computation and Language (cs.CL); Machine Learning (cs.LG)

arXiv:2609.20821 [cs.CL]

(or arXiv:2609.20821v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2609.20821 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 181 words

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