SuperDP refutes ε-DP via simultaneous synthesis of input pairs and witness functions using upper expectation supermartingales and lower expectation submartingales, delivering the first fully automated, sound, and semi-complete method applicable to both discrete and continuous stochastic mechanisms.
2012.Markov chains and stochastic stability
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The sticky CIR process on [0,∞) has a unique invariant measure that mixes a point mass at zero with a gamma-type density, and admits an exact sampler via an explicit Green's function in the zero-potential case.
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SuperDP: Differential Privacy Refutation via Supermartingales
SuperDP refutes ε-DP via simultaneous synthesis of input pairs and witness functions using upper expectation supermartingales and lower expectation submartingales, delivering the first fully automated, sound, and semi-complete method applicable to both discrete and continuous stochastic mechanisms.
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Sticky CIR process with potential: invariant measure and exact sampling
The sticky CIR process on [0,∞) has a unique invariant measure that mixes a point mass at zero with a gamma-type density, and admits an exact sampler via an explicit Green's function in the zero-potential case.