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Connection graph Laplacian methods can be made robust to noise

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arxiv 1405.6231 v1 pith:5LU7KAGT submitted 2014-05-23 math.ST math.SPstat.MEstat.MLstat.TH

Connection graph Laplacian methods can be made robust to noise

classification math.ST math.SPstat.MEstat.MLstat.TH
keywords noisemethodsconnectiondatagraphlaplacianrobustadditive
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Recently, several data analytic techniques based on connection graph laplacian (CGL) ideas have appeared in the literature. At this point, the properties of these methods are starting to be understood in the setting where the data is observed without noise. We study the impact of additive noise on these methods, and show that they are remarkably robust. As a by-product of our analysis, we propose modifications of the standard algorithms that increase their robustness to noise. We illustrate our results in numerical simulations.

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