Title
Cluster Canonical Correlation Analysis.
Abstract
In this paper we present cluster canonical correlation analysis (cluster-CCA) for joint dimensionality reduction of two sets of data points. Unlike the standard pairwise correspondence between the data points, in our problem each set is partitioned into multiple clusters or classes, where the class labels define correspondences between the sets. Cluster-CCA is able to learn discriminant low dimensional representations that maximize the correlation between the two sets while segregating the different classes on the learned space. Furthermore, we present a kernel extension, kernel cluster canonical correlation analysis (cluster-KCCA) that extends cluster-CCA to account for non-linear relationships. Cluster-(K)CCA is shown to be computationally efficient, the complexity being similar to standard (K)CCA. By means of experimental evaluation on benchmark datasets, cluster-(K)CCA is shown to achieve state of the art performance for cross-modal retrieval tasks.
Year
Venue
Field
2014
JMLR Workshop and Conference Proceedings
Data point,Kernel (linear algebra),Pairwise comparison,Cluster (physics),Dimensionality reduction,Canonical correlation,Discriminant,Correlation,Artificial intelligence,Machine learning,Mathematics
DocType
Volume
ISSN
Conference
33
1938-7288
Citations 
PageRank 
References 
32
0.78
17
Authors
4
Name
Order
Citations
PageRank
N Rasiwasia1117334.61
Dhruv K. Mahajan237822.92
Vijay Mahadevan3106335.39
Gaurav Aggarwal445626.11