no code implementations • 12 Jul 2022 • Qingci An, Yannis Kevrekidis, Fei Lu, Mauro Maggioni
Assuming abundant data of the observation process along with the distribution of the state process, we introduce a nonparametric generalized moment method to estimate the observation function via constrained regression.
no code implementations • 23 May 2022 • Fei Lu, Qingci An, Yue Yu
In this work, we provide a rigorous identifiability analysis and convergence study for the learning of kernels in nonlocal operators.
no code implementations • 8 Mar 2022 • Fei Lu, Quanjun Lang, Qingci An
We present DARTR: a Data Adaptive RKHS Tikhonov Regularization method for the linear inverse problem of nonparametric learning of function parameters in operators.
