Continuum Limits of Nonlocal $p$-Laplacian Variational Problems on Graphs
Continuum Limits of Nonlocal $p$-Laplacian Variational Problems on Graphs
In this paper, we study a nonlocal variational problem which consists of minimizing in $L^2$ the sum of a quadratic data fidelity and a regularization term corresponding to the $L^p$-norm of the nonlocal gradient. In particular, we study convergence of the numerical solution to a discrete version of this nonlocal …