Fusion tensor subspace transformation framework.

Tensor subspace transformation, a commonly used subspace transformation technique, has gained more and more popularity over the past few years because many objects in the real world can be naturally represented as multidimensional arrays, i.e. tensors. For example, a RGB facial image can be represen...

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Main Authors: Su-Jing Wang, Chun-Guang Zhou, Xiaolan Fu
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2013-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3698091?pdf=render
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author Su-Jing Wang
Chun-Guang Zhou
Xiaolan Fu
author_facet Su-Jing Wang
Chun-Guang Zhou
Xiaolan Fu
author_sort Su-Jing Wang
collection DOAJ
description Tensor subspace transformation, a commonly used subspace transformation technique, has gained more and more popularity over the past few years because many objects in the real world can be naturally represented as multidimensional arrays, i.e. tensors. For example, a RGB facial image can be represented as a three-dimensional array (or 3rd-order tensor). The first two dimensionalities (or modes) represent the facial spatial information and the third dimensionality (or mode) represents the color space information. Each mode of the tensor may express a different semantic meaning. Thus different transformation strategies should be applied to different modes of the tensor according to their semantic meanings to obtain the best performance. To the best of our knowledge, there are no existing tensor subspace transformation algorithm which implements different transformation strategies on different modes of a tensor accordingly. In this paper, we propose a fusion tensor subspace transformation framework, a novel idea where different transformation strategies are implemented on separate modes of a tensor. Under the framework, we propose the Fusion Tensor Color Space (FTCS) model for face recognition.
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spelling doaj.art-8afa731254a940168e17a8035d7b30fd2022-12-22T00:44:12ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-0187e6664710.1371/journal.pone.0066647Fusion tensor subspace transformation framework.Su-Jing WangChun-Guang ZhouXiaolan FuTensor subspace transformation, a commonly used subspace transformation technique, has gained more and more popularity over the past few years because many objects in the real world can be naturally represented as multidimensional arrays, i.e. tensors. For example, a RGB facial image can be represented as a three-dimensional array (or 3rd-order tensor). The first two dimensionalities (or modes) represent the facial spatial information and the third dimensionality (or mode) represents the color space information. Each mode of the tensor may express a different semantic meaning. Thus different transformation strategies should be applied to different modes of the tensor according to their semantic meanings to obtain the best performance. To the best of our knowledge, there are no existing tensor subspace transformation algorithm which implements different transformation strategies on different modes of a tensor accordingly. In this paper, we propose a fusion tensor subspace transformation framework, a novel idea where different transformation strategies are implemented on separate modes of a tensor. Under the framework, we propose the Fusion Tensor Color Space (FTCS) model for face recognition.http://europepmc.org/articles/PMC3698091?pdf=render
spellingShingle Su-Jing Wang
Chun-Guang Zhou
Xiaolan Fu
Fusion tensor subspace transformation framework.
PLoS ONE
title Fusion tensor subspace transformation framework.
title_full Fusion tensor subspace transformation framework.
title_fullStr Fusion tensor subspace transformation framework.
title_full_unstemmed Fusion tensor subspace transformation framework.
title_short Fusion tensor subspace transformation framework.
title_sort fusion tensor subspace transformation framework
url http://europepmc.org/articles/PMC3698091?pdf=render
work_keys_str_mv AT sujingwang fusiontensorsubspacetransformationframework
AT chunguangzhou fusiontensorsubspacetransformationframework
AT xiaolanfu fusiontensorsubspacetransformationframework