Correcting the Bias in Laplace Learning at Low Label Rates: From Laplace's to Poisson's Equation
Speaker:
Matthew Thorpe, University of Manchester
Date and Time:
Wednesday, June 1, 2022 - 2:00pm to 2:50pm
Location:
Fields Institute, Stewart Library
Abstract:
Laplace learning is a semi-supervised method that finds missing labels via minimising a Dirichlet energy. It is well known that Laplacian learning is (asymptotically) ill-posed at low labelling rates. In this talk I will identify the bias of Laplace learning and show how this can be corrected leading to significant improvement in performance. The correction in the bias leads one to a Poisson equation. This work is joint with Jeff Calder (University of Minnesota), Brendan Cook (University of Minnesota) and Dejan Slepcev (Carnegie Mellon University).