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math.PR2024
Sparse Hanson-Wright Inequalities with Applications
Yiyun He, Ke Wang, Yizhe Zhu
We derive new Hanson-Wright-type inequalities tailored to the quadratic forms of random vectors with sparse independent components. Specifically, we consider cases where the compon…
math.ST2024★ 1 cited
Online Differentially Private Synthetic Data Generation
Yiyun He, Roman Vershynin, Yizhe Zhu
We present a polynomial-time algorithm for online differentially private synthetic data generation. For a data stream within the hypercube and an infinite time horizon, w…