Formalizing the Linear Representation Hypothesis via Group Actions
September 21, 2026
The authors argue that the Linear Representation Hypothesis is a family of claims rather than a single one, depending on the definition of representation equivalence. They propose using group actions to formalize these equivalences, ensuring metrics and interventions remain mathematically consistent across different models.
HOW THIS AFFECTS YOU
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researcherYou should account for representation equivalence when designing probes or mechanistic interpretability interventions.