  In computer vision, image datasets used for classification are naturally
associated with multiple labels and comprised of multiple views, because each
image may contain several objects (e.g. pedestrian, bicycle and tree) and is
properly characterized by multiple visual features (e.g. color, texture and
shape). Currently available tools ignore either the label relationship or the
view complementary. Motivated by the success of the vector-valued function that
constructs matrix-valued kernels to explore the multi-label structure in the
output space, we introduce multi-view vector-valued manifold regularization
(MV$\mathbf{^3}$MR) to integrate multiple features. MV$\mathbf{^3}$MR exploits
the complementary property of different features and discovers the intrinsic
local geometry of the compact support shared by different features under the
theme of manifold regularization. We conducted extensive experiments on two
challenging, but popular datasets, PASCAL VOC' 07 (VOC) and MIR Flickr (MIR),
and validated the effectiveness of the proposed MV$\mathbf{^3}$MR for image
classification.
