Isotropic Geometric Encoding of State Spaces in Closed Manifolds

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Authors: Maksym Alekseevich Kovalevych
Cited by: 0

Abstract

A method for vectorization of state-space data in systems with finite element sets. The paper explores the projection of graph nodes onto a unit sphere using uniform distribution algorithms. This approach ensures coordinate system invariance and optimizes Euclidean distance calculations for multidimensional indexing. Applicable for specialized database architecture and strategic data modeling.

Fields of Study & Subjects

Topological and Geometric Data Analysis Graph Theory and Algorithms Face and Expression Recognition

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
8 February 2026