Gaussian mechanism is asymptotically optimal for high-dimensional DP additive noise; new Spherical Generalized Gamma family outperforms it and the ℓ2 mechanism in some low-dimensional cases with tight composition.
Operator scaling via geodesically convex optimization, invariant theory and polynomial identity testing , booktitle =
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Polynomial bounds on the gap for type A, Â and tree quivers make nullcone membership polynomial-time solvable, while other quivers have exponentially small gaps and weight margins.
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Asymptotic Optimality of the High-Dimensional Gaussian Mechanism and Improved Low-Dimensional Mechanisms for Differential Privacy
Gaussian mechanism is asymptotically optimal for high-dimensional DP additive noise; new Spherical Generalized Gamma family outperforms it and the ℓ2 mechanism in some low-dimensional cases with tight composition.
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On the gap of quiver representations
Polynomial bounds on the gap for type A, Â and tree quivers make nullcone membership polynomial-time solvable, while other quivers have exponentially small gaps and weight margins.