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cs.DS2022★ 1 cited
Re-Analyze Gauss: Bounds for Private Matrix Approximation via Dyson Brownian Motion
Oren Mangoubi, Nisheeth K. Vishnoi
Given a symmetric matrix and a vector , we present new bounds on the Frobenius-distance utility of the Gaussian mechanism for approximating by a matrix whose spectrum is…
cs.DS2022
Private Matrix Approximation and Geometry of Unitary Orbits
Oren Mangoubi, Yikai Wu, Satyen Kale +2
Consider the following optimization problem: Given matrices and , maximize where varies over the unitary group . Th…
cs.DS2022
Sampling from Log-Concave Distributions over Polytopes via a Soft-Threshold Dikin Walk
Oren Mangoubi, Nisheeth K. Vishnoi
Given a Lipschitz or smooth convex function for a bounded polytope defined by inequalities, we consider the problem of sampli…