Zexin Pan

activity

20242026

collaborators

7 papers

math.NA2026

Worst-case $L_{p}$ -approximation of periodic functions using median lattice algorithms

Zexin Pan, Mou Cai, Josef Dick +2

We study the worst-case approximation of multivariate periodic functions from the weighted Korobov space $H_{d, α, γ}$ with smoothness $α > 1/2$ in the Lebesgue norm $L_{p} ([0, 1]^{d})$ for…

math.NA2026

Uncertainty quantification using importance-sampled quasi-Monte Carlo with dimension-independent convergence rates

Zexin Pan, Du Ouyang, Zhijian He

Quasi-Monte Carlo (QMC) integration over unbounded domains $R^{s}$ remains challenging due to the high dimensionality of sampling space and the boundary growth of the integr…

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,…

Worst-case Lp​-approximation of periodic functions using median lattice algorithms

Uncertainty quantification using importance-sampled quasi-Monte Carlo with dimension-independent convergence rates

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

Worst-case $L_{p}$ -approximation of periodic functions using median lattice algorithms

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

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