Secure Edge-Aided Singular Value Decomposition in Internet of Things

Singular value decomposition (SVD) is a widely applied foundational decomposition technique; however, its computational demands often exceed the capabilities of Internet of Things (IoT) devices. While leveraging edge servers can alleviate this load, it may introduce potential security vulnerabilities. Current secure outsourcing computation methods designed for cloud environments are challenging to adapt to distributed schemes in edge computing. Our research proposes a novel secure edge-assisted protocol for IoT devices solving SVD, aiming to conceal the Input/Output matrix and balance computational loads across multiple edge servers. The protocol ensures the confidentiality of original matrices and decomposition results, preventing exposure to edge servers. We conduct a comprehensive theoretical analysis of the protocol's efficiency and security, substantiating its advancements through experiments.