62 citations · 184 across the 27 of their papers we have counts for
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cs.DS2013★ 6 cited
Toward a unified theory of sparse dimensionality reduction in Euclidean space
Jean Bourgain, Sjoerd Dirksen, Jelani Nelson
Let be a sparse Johnson-Lindenstrauss transform [KN14] with non-zeroes per column. For a subset of the unit sphere, giv…
math.PR2013★ 13 cited
Tail bounds via generic chaining
Sjoerd Dirksen
We modify Talagrand's generic chaining method to obtain upper bounds for all p-th moments of the supremum of a stochastic process. These bounds lead to an estimate for the upper ta…
math.PR2013
Poisson stochastic integration in Banach spaces
Sjoerd Dirksen, Jan Maas, Jan van Neerven
We prove new upper and lower bounds for Banach space-valued stochastic integrals with respect to a compensated Poisson random measure. Our estimates apply to Banach spaces with non…