Information-Geometric and Topological Features of AI Behavioral Signatures: A 14-Module Mathematical Framework

Description of a 14-module mathematical pipeline spanning information theory, algebraic topology, dynamical systems, differential geometry, gauge theory, and category theory. Produces 272-dimensional feature vectors expanded to 1,543 dimensions. Achieves 0.958 AUC (GPT-4) on LLM behavioral drift detection. The Hodge/sheaf decomposition module produces the single most important feature.

Part of the ABIS (Adaptive Behavioral Intelligence System) research series by CIJ Labs. Patent: GB2521226.7

Keywords

topological data analysis, information geometry, behavioral signatures, ABIS, feature extraction, mathematical framework

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Fields of Science

engineering and technology

electrical engineering, electronic engineering, information engineering

Fields of Science

engineering and technology

electrical engineering, electronic engineering, information engineering