Greedy vector balancing on finite unit-vector sets T in R^d achieves norm bound (2/δ_T)^{d-1} independent of sequence length n.
Niederreiter:Random Number Generation and Quasi-Monte Carlo Methods
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
UNVERDICTED 4representative citing papers
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.
Develops generator-agnostic audits for combinatorial uniformity on the hypersimplex using marginal chi-square, pair maxima, serial overlap, anchored-box discrepancy and low-dimensional geometry, with a finite-witness guarantee.
General criteria extend L^p-mean Wasserstein convergence rates of occupation measures to non-stationary or non-Markovian ergodic processes under conditional convergence to equilibrium, with applications to Brownian diffusions and fractional Brownian driven SDEs.
citing papers explorer
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Greedy Vector Balancing
Greedy vector balancing on finite unit-vector sets T in R^d achieves norm bound (2/δ_T)^{d-1} independent of sequence length n.
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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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Auditing Combinatorial Randomness from Finite Transcripts
Develops generator-agnostic audits for combinatorial uniformity on the hypersimplex using marginal chi-square, pair maxima, serial overlap, anchored-box discrepancy and low-dimensional geometry, with a finite-witness guarantee.
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Convergence rate of the occupation measure of classes of ergodic processes toward their invariant distribution in mean Wasserstein distance
General criteria extend L^p-mean Wasserstein convergence rates of occupation measures to non-stationary or non-Markovian ergodic processes under conditional convergence to equilibrium, with applications to Brownian diffusions and fractional Brownian driven SDEs.