We prove that for any real-valued matrix X ∈ Rm×n , and positive integers r k, there is a subset of r columns of X such that projecting X onto their span gives a r+1 r−k+1 -a...
We consider the general, widely applicable problem of selecting from n real-valued random variables a subset of size m of those with the highest means, based on as few samples as ...
Erdos posed the problem of how many random subsets need to be chosen from a set of n elements, each element appearing in each subset with probability p = 1/2, in order that at lea...
Suppose we toss an independent coin with probability of success p for each subset of [n] = {1, . . . , n}, and form the random hypergraph P(n, p) by taking as hyperedges the subse...
In this paper, we argue that a broad range of large-scale network services would benefit from a scalable mechanism for delivering state about a random subset of global participan...
Dejan Kostic, Adolfo Rodriguez, Jeannie R. Albrech...