Ming-Jun Lai

collaborators

Showing math.NAShow all

2 papers · 1 filter

math.NA2025

The Optimal Linear B-splines Approximation via Kolmogorov Superposition Theorem and its Application

Ming-Jun Lai, Zhaiming Shen

We propose a new approach for approximating functions in $C ([0, 1]^{d})$ via Kolmogorov superposition theorem (KST) based on the linear spline interpolation of the outer function in t…

math.NA2024

Maximal Volume Matrix Cross Approximation for Image Compression and Least Squares Solution

Kenneth Allen, Ming-Jun Lai, Zhaiming Shen

We study the classic matrix cross approximation based on the maximal volume submatrices. Our main results consist of an improvement of the classic estimate for matrix cross approxi…