Numerical Investigation of Continuous-Domain Lp-norm Regularization in Generalized Interpolation
Meeting • 19 February 2019AbstractThe aim of this project is to understand the effect of continuous-domain Lp-norm regularization (when 1 < p < 2). To that end, we study the Lp-regularized generalized interpolation problem. In order to numerically solve this continuous-domain problem, we propose a spline-based discretization scheme which leads to an exact discretization. The resulting discrete problem can be solved efficiently by using existing optimization methods. We then present some numerical results which help us in understanding the behaviour of the Lp-regularized solution.