{"ID":2837651,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.19262","arxiv_id":"2511.19262","title":"Psychometric Tests for AI Agents and Their Moduli Space","abstract":"We develop a moduli-theoretic view of psychometric test batteries for AI agents and connect it explicitly to the AAI score developed previously. First, we make precise the notion of an AAI functional on a battery and set out axioms that any reasonable autonomy/general intelligence score should satisfy. Second, we show that the composite index ('AAI-Index') defined previously is a special case of our AAI functional. Third, we introduce the notion of a cognitive core of an agent relative to a battery and define the associated AAI$_{\\textrm{core}}$ score as the restriction of an AAI functional to that core. Finally, we use these notions to describe invariants of batteries under evaluation-preserving symmetries and outline how moduli of equivalent batteries are organized.","short_abstract":"We develop a moduli-theoretic view of psychometric test batteries for AI agents and connect it explicitly to the AAI score developed previously. First, we make precise the notion of an AAI functional on a battery and set out axioms that any reasonable autonomy/general intelligence score should satisfy. Second, we show...","url_abs":"https://arxiv.org/abs/2511.19262","url_pdf":"https://arxiv.org/pdf/2511.19262v1","authors":"[\"Przemyslaw Chojecki\"]","published":"2025-11-24T16:15:08Z","proceeding":"cs.AI","tasks":"[\"cs.AI\",\"cs.LG\",\"math.ST\"]","methods":"[\"Generative Adversarial Network\"]","has_code":false}