Author

Francesco Vicidomini

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2026

The Anatomy of a Truth Direction: Knowledge-Dependent Dimensionality, a Relational Law, and a Convergent Category Geometry in Small Language Models

This work extends the framework that demonstrated that truth representations in large language models are universal across statement polarity but reside within a multidimensional subspace along three questions: how the dimensionality of the subspace depends on the model’s knowledge, which architectural component builds...

Francesco Vicidomini · arXiv.org · 0 citations

Preprint Jul 2026

The Anatomy of a Truth Direction: Knowledge-Dependent Dimensionality, a Relational Law, and a Shared Category Geometry in Small Language Models

B\"urger et al.\ (2024) demonstrated that truth representations in large language models are universal across statement polarity but reside within a multidimensional subspace. The truth value of a statement is linearly readable from a residual stream of language model, but it is not clear how much of that representatio...

Francesco Vicidomini · 0 citations

Preprint Jul 2026

The Anatomy of a Truth Direction: Knowledge-Dependent Dimensionality, a Relational Law, and a Convergent Category Geometry in Small Language Models

B\"urger et al. (2024) demonstrated that truth representations in large language models are universal across statement polarity but reside within a multidimensional subspace. We extend this framework along three questions: how the dimensionality of the subspace depends on the model's knowledge, which architectural comp...

Francesco Vicidomini · 0 citations