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About this paper

Andrew Tanner

Anisotrope AI introduced a black-box geometric framework for measuring AI agent identity, defining it as non-geodesic structure within a behavioral metric space. Utilizing enriched category theory and magnitude homology, the framework demonstrated the ability to detect early metric space contraction in an AI agent under specific repetitive context conditions, before human-perceptible qualitative degradation.

Key insights

  • AI agent identity can be rigorously defined and measured as non-geodesic structure in a behavioral space, detectable via magnitude homology and sensitive to continuous metric deformations.
  • Agent conditioning involves two distinct mechanisms: filling an 'identity-vacuum' for probes where the base model has no prior, and displacing behavior from a 'safety-basin' for probes with strong base model attractors.
  • Scalar magnitude can serve as an early indicator of identity deformation by detecting uniform contraction of the behavioral space, even before topological changes become apparent.

Summary by alphaXiv.

Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.