Manifold Alignment using Procrustes Analysis

Authors

Chang Wang, University of Massachusetts - Amherst
Sridhar Mahadevan, University of Massachusetts - Amherst

Publication Date

2008

Abstract

In this paper we introduce a novel approach to manifold alignment, based on Procrustes analysis. Our approach di®ers from \semi- supervised alignment" in that it results in a mapping that is de¯ned everywhere { when used with a suitable dimensionality reduction method { rather than just on the training data points. We describe and evaluate our approach both theoretically and experimen- tally, providing results showing useful knowl- edge transfer from one domain to another. Novel applications of our method including cross-lingual information retrieval and trans- fer learning in Markov decision processes are presented.

Comments

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DOI

https://doi.org/10.1145/1390156.1390297

Recommended Citation

Wang, Chang and Mahadevan, Sridhar, "Manifold Alignment using Procrustes Analysis" (2008). Computer Science Department Faculty Publication Series. 64.
https://doi.org/10.1145/1390156.1390297