2 papers
math.NA2026
Stochastic Convergence Analysis for Large-Scale Linear Discrete Ill-posed Problems
Duan-Peng Ling, Wenlong Zhang
We study weighted Tikhonov regularization for large-scale linear discrete ill-posed problems with random noise. Under a polynomial upper-bound assumption on the generalized eigenva…
math.NA2025
A Data-Driven Approach to Solving First-Kind Fredholm Integral Equations and Their Convergence Analysis
Duan-Peng Ling, Wenlong Zhang
We investigate the statistical recovery of solutions to first-kind Fredholm integral equations with discrete, scattered, and noisy pointwise measurements. Assuming the forward oper…