A Survey on the Linear Representation Hypothesis

Sewoong Lee, Marc E. Canby, Ikhyun Cho, Julia Hockenmaier


Abstract
The term “linear representation hypothesis” (LRH) has appeared across diverse subfields of artificial intelligence, neuroscience, and cognitive science. But previous works have not consistently treated the LRH as a falsifiable scientific hypothesis; we analyze these inconsistencies and examine their implications for how prior theoretical and methodological results should be interpreted. Based on this analysis, we argue that claims regarding linear representations become well-defined only through careful examination of the model, representation location, feature definition, and evaluation dataset. We therefore propose a more rigorous formalization of the LRH that makes these dependencies explicit and allows the hypothesis to be evaluated as a falsifiable scientific claim. Finally, we identify some non-trivial open problems that warrant further attention from the research community.
Anthology ID:
2026.blackboxnlp-1.48
Volume:
Proceedings of the 9th BlackboxNLP Workshop: Analyzing and Interpreting Neural Networks for NLP
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Dana Arad, Yonatan Belinkov, Hanjie Chen, Nils Feldhus, Aaron Mueller, Hosein Mohebbi, Gabriele Sarti, Martin Tutek
Venues:
BlackboxNLP | WS
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
835–851
Language:
URL:
https://aclanthology.org/2026.blackboxnlp-1.48/
DOI:
Bibkey:
Cite (ACL):
Sewoong Lee, Marc E. Canby, Ikhyun Cho, and Julia Hockenmaier. 2026. A Survey on the Linear Representation Hypothesis. In Proceedings of the 9th BlackboxNLP Workshop: Analyzing and Interpreting Neural Networks for NLP, pages 835–851, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
A Survey on the Linear Representation Hypothesis (Lee et al., BlackboxNLP 2026)
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PDF:
https://aclanthology.org/2026.blackboxnlp-1.48.pdf