Infinite order-2 digital sequences over F_2 attain the optimal periodic L2-discrepancy bound of order C_d (log N)^{d/2}/N for all N except 1, improving prior order-5 constructions by reducing dimension from 5d to 2d.
Niederreiter: Point sets and sequences with small discrepancy
2 Pith papers cite this work. Polarity classification is still indexing.
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A multivariate active learning approach for polynomial chaos expansion selects samples by aggregated output variance to improve surrogate accuracy and stability for vector-valued engineering responses.
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Infinite sequences with optimal diaphony, periodic $L_2$-discrepancy, and beyond
Infinite order-2 digital sequences over F_2 attain the optimal periodic L2-discrepancy bound of order C_d (log N)^{d/2}/N for all N except 1, improving prior order-5 constructions by reducing dimension from 5d to 2d.
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Uncertainty Quantification of Engineering Structures by Polynomial Chaos Expansion and Multivariate Active Learning
A multivariate active learning approach for polynomial chaos expansion selects samples by aggregated output variance to improve surrogate accuracy and stability for vector-valued engineering responses.