Escort Distribution
A deformed distribution obtained by reweighting the original distribution in the form p(x)^β/Z. It can amplify or shrink the high-density regions of the original distribution, making KSD more sensitive to the exponential term in Rényi divergence.
Timeline (last 90 days)
The paper innovatively adopts the escort distribution to construct the KSD; the escort distribution can highlight the regions of the distribution relevant to privacy loss, making the KSD more sensitively capture changes in the Rènyi divergence.
The authors design a kernel function based on the escort distribution so that the KSD becomes a computable upper bound on the Rènyi divergence, and the tightness of the certificate can be adjusted by choosing different kernel functions.
The escort distribution reweights via p(x)^β / Z (β being a parameter), enlarging or shrinking the high-density regions of the original distribution so that the KSD is more sensitive to the exponential term in the Rènyi divergence.
All Facts (3)
The paper innovatively adopts the escort distribution to construct the KSD; the escort distribution can highlight the regions of the distribution relevant to privacy loss, making the KSD more sensitively capture changes in the Rènyi divergence.
50%UnverifiedThe authors design a kernel function based on the escort distribution so that the KSD becomes a computable upper bound on the Rènyi divergence, and the tightness of the certificate can be adjusted by choosing different kernel functions.
50%UnverifiedThe escort distribution reweights via p(x)^β / Z (β being a parameter), enlarging or shrinking the high-density regions of the original distribution so that the KSD is more sensitive to the exponential term in the Rènyi divergence.
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