Finite Topological Space Filtrations: A Topological Framework for Data Analysis

arXiv:2512.23348 · math.AT, cs.CG, cs.LG · Submitted 2025-12-29 · Read on arXiv

math.AT, cs.CG, cs.LG

Submitted: 2025-12-29

Updated: 2026-09-22

Code: https://github.com/cg-istanbul/fts-persistent-homology

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Persistent Homology — 13× in this paper · explained in 3 episodes
• Finite Topological Spaces — 11× in this paper
• Benchmark — 1× in this paper · explained in 2 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes

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