Nathan Kirk

activity

20142022

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Showing 2022Show all

2 papers · 1 filter

math.PR2022

On the expected L2-discrepancy of jittered sampling

Nathan Kirk, Florian Pausinger

For $m, d \in N$ , a jittered sample of $N = m^{d}$ points can be constructed by partitioning $[0, 1]^{d}$ into $m^{d}$ axis-aligned equivolume boxes and placing one point independe…

math.CO2022

Partitions for stratified sampling

Francois Clement, Nathan Kirk, Florian Pausinger

Classical jittered sampling partitions $[0, 1]^{d}$ into $m^{d}$ cubes for a positive integer $m$ and randomly places a point inside each of them, providing a point set of size $N = m^{d}$ …