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math.PR2026
Concentration of bounded sparse chaoses and sparse Khatri-Rao embeddings
Guozheng Dai, Yiyun He, Ke Wang +1
We establish moment and mixed-tail inequalities for fixed-order decoupled homogeneous chaoses generated by independent, centered, sparse bounded random variables. Our bounds apply…
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…