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Incomplete Pivoted QR-based Dimensionality Reduction
The dictionary enables to have a natural extension of the low-dimensional embedding to out-of-sample data points, which gives rise to a distortion-based criterion for anomaly detection.
Diffusion Representations
In this paper, we present a representation framework for data analysis of datasets that is based on a closed-form decomposition of the measure-based kernel.
PCA-Based Out-of-Sample Extension for Dimensionality Reduction
We prove that the error of the proposed algorithm is bounded.
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