Mou Cai

activity

20242026

collaborators

4 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

A note on approximation in weighted Korobov spaces via multiple rank-1 lattices

Mou Cai, Takashi Goda

This paper studies the multivariate approximation of functions in weighted Korobov spaces using multiple rank-1 lattice rules. It has been shown by Kämmerer and Volkmer (2019) that…

math.NA2025

Quasi-Monte Carlo hyperinterpolation

Congpei An, Mou Cai, Takashi Goda

This paper studies a generalization of hyperinterpolation over the high-dimensional unit cube. Hyperinterpolation of degree $ m $ serves as a discrete approximation of the \( L_2…

math.NA2024

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

Mou Cai, Takashi Goda, Yoshihito Kazashi

We propose a randomized lattice algorithm for approximating multivariate periodic functions over the $d$ -dimensional unit cube from the weighted Korobov space with mixed smoothness…

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

A note on approximation in weighted Korobov spaces via multiple rank-1 lattices

Quasi-Monte Carlo hyperinterpolation

L2​-approximation using randomized lattice algorithms

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

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