34 research outputs found
Cross-view kernel transfer
We consider the kernel completion problem with the presence of multiple views
in the data. In this context the data samples can be fully missing in some
views, creating missing columns and rows to the kernel matrices that are
calculated individually for each view. We propose to solve the problem of
completing the kernel matrices with Cross-View Kernel Transfer (CVKT)
procedure, in which the features of the other views are transformed to
represent the view under consideration. The transformations are learned with
kernel alignment to the known part of the kernel matrix, allowing for finding
generalizable structures in the kernel matrix under completion. Its missing
values can then be predicted with the data available in other views. We
illustrate the benefits of our approach with simulated data, multivariate
digits dataset and multi-view dataset on gesture classification, as well as
with real biological datasets from studies of pattern formation in early
\textit{Drosophila melanogaster} embryogenesis