Zexin Pan

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20242026

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4 papers · 1 filter

math.NA2025

Universal $L_{2}$ -approximation using median lattice algorithms

Zexin Pan, Takashi Goda, Peter Kritzer

We study the problem of multivariate $L_{2}$ -approximation of functions in a weighted Korobov space using a median lattice-based algorithm recently proposed by the authors. In the or…

stat.CO2025

Dimension-independent convergence rates of randomized nets using median-of-means

Zexin Pan

Recent advances in quasi-Monte Carlo integration demonstrate that the median of linearly scrambled digital net estimators achieves near-optimal convergence rates for high-dimension…

math.ST2025

Quasi-Monte Carlo confidence intervals using quantiles of randomized nets

Zexin Pan

Recent advances in quasi-Monte Carlo integration have shown that for linearly scrambled digital net estimators, the convergence rate can be dramatically improved by taking the medi…

math.NA2025

$L_{2}$ -approximation using median lattice algorithms

Zexin Pan, Peter Kritzer, Takashi Goda

In this paper, we study the problem of multivariate $L_{2}$ -approximation of functions belonging to a weighted Korobov space. We propose and analyze a median lattice-based algorithm,…

Universal L2​-approximation using median lattice algorithms

Dimension-independent convergence rates of randomized nets using median-of-means

Quasi-Monte Carlo confidence intervals using quantiles of randomized nets

L2​-approximation using median lattice algorithms

Universal $L_{2}$ -approximation using median lattice algorithms

$L_{2}$ -approximation using median lattice algorithms