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New privacy mechanism links geometric analysis, heat diffusion, and DP

Researchers have introduced a new privacy mechanism designed for data residing on Riemannian manifolds. This novel approach establishes connections between geometric analysis, heat diffusion models, and differential privacy. The mechanism leverages Ricci curvature to provide Renyi differential privacy guarantees, utilizing heat diffusion for manifolds with non-negative Ricci curvature and a Langevin process for general manifolds. AI

IMPACT Introduces novel privacy techniques for manifold-valued data, potentially impacting privacy-preserving machine learning applications.

RANK_REASON Academic paper introducing a novel privacy mechanism for manifold-valued data.

Read on arXiv stat.ML →

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New privacy mechanism links geometric analysis, heat diffusion, and DP

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Academic paper introducing a novel privacy mechanism for manifold-valued data.
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Qirui Hu ·

    Geometric Renyi Differential Privacy: Ricci Curvature Characterized by Heat Diffusion Mechanisms

    In this paper, we develop a novel privacy mechanism for Riemannian manifold-valued data. Our key contribution lies in uncovering unexpected connections among geometric analysis, heat diffusion models, and differential privacy (DP). We characterize the Renyi divergence via dimensi…