Shi XuDong

Multivariate Regression with Gross Errors on Manifold-valued Data

Published date : 04 Jan 2018

We consider the topic of multivariate regression on manifold-valued output, that is, for a multivariate observation, its output response lies on a manifold. Moreover, we propose a new regression model to deal with the presence of grossly corrupted manifold-valued responses, a bottleneck issue commonly encountered in practical scenarios. Our model first takes a correction step on the grossly corrupted responses via geodesic curves on the manifold, then performs multivariate linear regression on the corrected data.

type
Journal Paper
journal
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2018, doi: 10.1109/TPAMI.2017.2776260
Impact Factor
8.329