3 papers
math.PR2026
Sparsity-adaptive concentration inequalities for random polynomials
Guozheng Dai, Ke Wang
We prove concentration inequalities for polynomials of independent, sparse -sub-exponential random variables. Specifically, we consider , where the Bernoulli selecto…
math.PR2025
A note on the improved sparse Hanson-Wright inequalities
Guozheng Dai, Yiyun He, Ke Wang +1
We establish sparse Hanson-Wright inequalities for quadratic forms of sparse -sub-exponential random vectors with exponent parameter . In the regime we d…
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…