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  Nonparametric Transforms of Graph Kernels for Semi-Supervised Learning

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by Xiaojin Zhu Jaz K
http://www.cs.cmu.edu/~zhuxj/pub/flex.pdf
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Abstract:

We present an algorithm based on convex optimization for constructing kernels for semi-supervised learning. The kernel matrices are derived from the spectral decomposition of graph Laplacians, and combine labeled and unlabeled data in a systematic fashion. Unlike previous work using diffusion kernels and Gaussian random field kernels, a nonparametric kernel approach is presented that incorporates order constraints during optimization. This results in flexible kernels and avoids the need to choose among different parametric forms. Our approach relies on a quadratically constrained quadratic program (QCQP), and is computationally feasible for large datasets. We evaluate the kernels on real datasets using support vector machines, with encouraging results. 1

Citations

1 Cluster kernels for semi-supervised learning – Press, UK - 1997