A Unified Semi-Supervised Dimensionality Reduction Framework for Manifold Learning

Details A Unified Semi-Supervised Dimensionality Reduction Framework for Manifold Learning A Unified Semi-Supervised Dimensionality Reduction Framework for Manifold Learning

2008-04-06

arxiv.org/abs/0804.0924v2

Computer Science

Learning

22 pages, 9 figures

Scientific paper

We present a general framework of semi-supervised dimensionality reduction for manifold learning which naturally generalizes existing supervised and unsupervised learning frameworks which apply the spectral decomposition. Algorithms derived under our framework are able to employ both labeled and unlabeled examples and are able to handle complex problems where data form separate clusters of manifolds. Our framework offers simple views, explains relationships among existing frameworks and provides further extensions which can improve existing algorithms. Furthermore, a new semi-supervised kernelization framework called ``KPCA trick'' is proposed to handle non-linear problems.

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