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InfoResearchPeer-reviewed
An Algorithm for Persistent Homology Computation Using Homomorphic Encryption
- Published
- Record updated
Summary
Researchers present the first adaptation of boundary matrix reduction, a core topological data analysis algorithm for computing persistent homology, to operate on homomorphically encrypted data. They give mathematical correctness guarantees under appropriate parameter choices, analyze computational complexity, and validate with a plaintext simulation and a working OpenFHE implementation.