AI & Computingpreprint2026-08-01

Mixed-Variable Optimisation as a Metric Product Space: Transient Categorical Geometry and a Hierarchy of Local Optimality

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Abstract

v2, August 2026: substantially revised version — restructured into eight sections, renamed optimality hierarchy (single-ordering / visited-orderings / all-orderings), corrected algorithmic section, and a new controlled computational experiment. A version of this manuscript is under review.

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-01

Authors: J.F.A. Madeira

Institutions: Instituto Politécnico de Lisboa, Instituto Geológico