Lipschitz comparison for Bernoulli processes

I’ll discuss an improvement of the recent result by Chu and Raginsky (https://arxiv.org/pdf/2304.14474.pdf) concerning comparison of the expected suprema of Bernoulli
processes with respect to some Lipschitz mapping. Our result (together with Witold Bednorz) is based on constructing appropriate sequence of partitions. I will also 
mention possible applications of the result.