2 papers
math.AP2026
Nonlocal Tikhonov Regularization: Hilbert Scales, Explicit Rates, and the Classical Limit
Debangana Mukherjee, Akash Ashirbad Panda
We study fractional-Sobolev Tikhonov regularization for linear inverse problems on a bounded Lipschitz domain. The regularization penalty is generated by the restricted Dirichlet f…
stat.ME2025
Least Square Estimation: SDEs Perturbed by Lévy Noise with Sparse Sample Paths
Brijesh Kumar Jha, Subhra Sankar Dhar, Akash Ashirbad Panda
This article investigates the least squares estimators (LSE) for the unknown parameters in stochastic differential equations (SDEs) that are affected by Lévy noise, particularly w…