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math.NA2026
Quasi-uniform designs from random candidates: optimal candidate complexity and farthest-point sampling
Takashi Goda, Hengjun Xu
We study randomized constructions of quasi-uniform designs on a compact metric-measure space satisfying two-sided polynomial ball-growth conditions. Given integers , we fir…
math.NA2025
Constructive quasi-uniform sequences over triangles
Hengjun Xu, Takashi Goda
In this paper, we develop constructive algorithms for generating quasi-uniform point sets and sequences over arbitrary two-dimensional triangular domains. Our proposed method, call…