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

J.F.A. Madeira

doi:10.5281/zenodo.21740408

August 1, 2026Open Access

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

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Key Points

This research aims to explore mixed-variable optimisation within the framework of transient categorical geometry and local optimality.
Revised manuscript structured into eight sections focusing on optimality hierarchy.
Focused on algorithmic correction and clarification.
Conducted a controlled computational experiment to validate the theoretical framework.
Results are pending as the manuscript is under review and details are not yet disclosed.

Implication

Controlled computational experiment assesses transient categorical geometry and local optimality in a mixed-variable framework.

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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Cite This Study

J.F.A. Madeira (2026) studied this question.

synapsesocial.com/papers/6a70402f75942ff7265e4e24 https://doi.org/10.5281/zenodo.21740408

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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