Multi-View Kernel-based Data Analysis

The input data features set for many data driven tasks is high-dimensional while the intrinsic dimension of the data is low. Data analysis methods aim to uncover the underlying low dimensional structure imposed by the low dimensional hidden parameters by utilizing distance metrics that considers the set of attributes as a single monolithic set. However, the transformation of the low dimensional phenomena into the measured high dimensional observations might distort the distance metric. This distortion can affect the desired estimated low dimensional geometric structure. In this paper, we suggest to utilize the redundancy in the feature domain by partitioning the features into multiple subsets that are called views. The proposed method utilize the agreement also called consensus between different views to extract valuable geometric information that unifies multiple views about the intrinsic relationships among several different observations. This unification enhances the information that a single view or a simple concatenations of views provides.