Unsupervised Visual Domain Adaptation Using Subspace Alignment

Basura Fernando*, Amaury Habrard**, Marc Sebban** and Tinne Tuytelaars*
*KU Leuven ESAT-PSI iMinds Belgium
**UMR CNRS 5516 Laboratoire Hubert Curien University of Saint-Etienne France

Abstract

In this paper, we introduce a new domain adaptation (DA) algorithm where the source and target domains are represented by subspaces described by eigenvectors. In this context, our method seeks a domain adaptation solution by learning a mapping function which aligns the source subspace with the target one. We show that the solution of the corresponding optimization problem can be obtained in a simple closed form, leading to an extremely fast algorithm. We use a theoretical result to tune the unique hyperparameter corresponding to the size of the subspaces. We run our method on various datasets and show that, despite its intrinsic simplicity, it outperforms state of the art DA methods.

PDFs
PDF
Supplementary material
Source Code size
DA_SA.tar
Subspace Alignment Code with a demo. (Last updated 2014 September 23)

11.3KB

getGFKDim.m
Subspace disagreement measure code

2.9KB

MLE_IntrinsicDim.m
SA-MLE subspace estimation code. (Last updated 2014 September 23)

2.9KB

JCSL.m
Joint cross-domain classification code.

3.6KB

Bibtex
@inproceedings{fernando2013SA, title={Unsupervised Visual Domain Adaptation Using Subspace Alignment}, author={Fernando, Basura and Habrard, Amaury and Sebban, Marc and Tuytelaars, Tinne}, booktitle={ICCV}, year={2013} }
Acknowledgements
We would like to thank Dr. Karl Markus Moll for his valuable discussions and feedback during this work.
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